The area of a rhombus is 400msq.If its height is 20m, what is its base
By using area formula, we get base is [tex]20 m[/tex]
What do you mean by area?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. For instance, On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Given that:
Area of a rhombus is [tex]400 m^{2}[/tex]
Height of a rhombus is [tex]20 m[/tex]
We know that,
Area of rhombus = base × height
Substituting area and height in above formula
[tex]400[/tex] = base × [tex]20[/tex]
∴ Base = [tex]\frac{400}{20}[/tex]
=[tex]20[/tex]
Therefore, by using area formula, we get base of a rhombus is [tex]20 m[/tex]
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Roman Derleth
Write Single Inequality from Context
Sep 21, 7:53:35 PM
?
Jonathan and his children went into a restaurant and will buy hamburgers and tacos.
Each hamburger costs $5 and each taco costs $2.50. Jonathan has a total of $60 to
spend on hamburgers and tacos. Write an inequality that would represent the
possible values for the number of hamburgers purchased, h, and the number of tacos
purchased, t.
Answer:
Submit Answer
The inequalities that represent the problem is 5h + 2.50t ≤ 60
How to find the inequality that represent the problem?Each hamburger costs $5 and each taco costs $2.50.
He has a total of $60 to spend on hamburgers and tacos.
The inequalities that would be used to represent the possible values for the number of hamburgers purchased, h, and the number of tacos purchased, t is as follows:
Therefore,
h = number of hamburgers purchased
t = the number of tacos purchased
Hence,
5h + 2.50t ≤ 60
Therefore, the inequalities that represent the problem is 5h + 2.50t ≤ 60
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Rewrite the following expression.
The following expression i.e.[tex]x^{\frac{10}{3} }[/tex] is rewritten as [tex](x^{3} )\sqrt[3]{x}[/tex]
Expression:
An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
You can think of expression as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
⇒ [tex]x^{\frac{10}{3} }[/tex] { given a exponential expression }
⇒ [tex]x^{\frac{9+1}{3} }[/tex] { spliting the power into parts }
⇒[tex]x^{3+\frac{1}{3} }[/tex]
⇒ [tex]x^{3}[/tex]×[tex]\sqrt[3]{x}[/tex] { spliting the terms by using properties of exponent }
⇒ [tex](x^{3} )\sqrt[3]{x}[/tex]
Hence, [tex](x^{3} )\sqrt[3]{x}[/tex] is rewritten form of the given expression i.e.[tex]x^{\frac{10}{3} }[/tex]
Therefore,The following expression i.e.[tex]x^{\frac{10}{3} }[/tex] is rewritten as [tex](x^{3} )\sqrt[3]{x}[/tex]
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Please help! (Also show work)
Tutorials :D
The five-number summary is:
Minimum: 9
First Quartile: 16.5
Median: 25.5
Third Quartile: 39
Maximum: 51
3. Range = 42
4. Interquartile range = 22.5
How to Find the Five-number Summary of a Data?Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:
1. The numbers in ordered from the smallest to the largest would be:
9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51
2. The five-number summary for the lengths in minutes would be:
Minimum value: this is the smallest lengths, which is 9First Quartile (Q1): this is the middle of the first half of the data set of the lengths in minutes, which is 16.5.Median: the median is the center of the data distribution which is 25.5.Third Quartile: this is the middle of the second half of the data set of the lengths in minutes, which is 39.Maximum: this is the largest length in minutes, which is, 51.3. Range of the data = max - min = 51 - 9 = 42
4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5
Interquartile range for the data set = 22.5
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pls help me out with this
Step-by-step explanation:
"complimentary" means together they have 90°.
"supplementary" means together they have 180°.
which can be easily and quickly found on any internet search.
7.
A = 70°
A + B = 90°
70 + B = 90
B = 90 - 70 = 20°
B + C = 180°
20 + C = 180
C = 180 - 20 = 160°
8.
A + B = 90°
B + C = 180°
C = 100°
B + 100 = 180°
B = 180 - 100 = 80°
A + 80 = 90
A = 90 - 80 = 10°
Triangle HOP has coordinates H (2, 1), O (-3, 4), and P (5, 7). Determine the coordinates of the
image of AHOP after each rotation.
a A rotation 90° clockwise about the origin
b) A rotation 90° counterclockwise about the origin
A rotation 180° about the origin
The image of ΔHOP with coordinates H(2,1), O(-3,4), and P(5,7).
(a) after 90° clockwise rotation is H'(1,-2,),O'(4,3),P'(7,-5) ,
(b) after 90° counterclockwise rotation is H''(-1,2),O''(-4,-3),P''(-7,5) ,
(c) after 180° rotation is H'''(-2,-1),O'''(3,-4),P'''(-5,-7) .
When a point (x,y) is rotated 90° in clockwise about the origin then the image after rotation becomes (y,-x) .
When a point (x,y) is rotated 90° in counterclockwise about the origin then the image after rotation becomes (-y,x) .
When a point (x,y) is rotated 180° about the origin then the image after rotation becomes (-x,-y) .
Part(a)
The ΔHOP with coordinates H(2, 1), O(-3, 4), and P(5, 7) is rotated 90° in clockwise direction ,
we know the points (x,y) becomes (y,-x),
So the image of ΔHOP after rotation becomes H' , O' , P' .
H(2, 1) → H'(1,-2)
O(-3, 4) → O'(4,3)
P(5,7) → P'(7,-5)
Part(b)
The ΔHOP with coordinates H(2, 1), O(-3, 4), and P(5, 7) is rotated 90° in counterclockwise direction ,
we know the points (x,y) becomes (-y,x),
So the image of ΔHOP after rotation becomes H'' , O'' , P'' .
H(2, 1) → H''(-1,2)
O(-3, 4) → O''(-4,-3)
P(5,7) → P''(-7,5)
Part(c)
The ΔHOP with coordinates H(2, 1), O(-3, 4), and P(5, 7) is rotated 180°,
we know the points (x,y) becomes (-x,-y),
So the image of ΔHOP after rotation becomes H''' , O''' , P''' .
H(2, 1) → H'''(-2,-1)
O(-3, 4) → O'''(3,-4)
P(5,7) → P'''(-5,-7)
Therefore , The image of ΔHOP
(a) after 90° clockwise rotation is H'(1,-2,),O'(4,3),P'(7,-5) ,
(b) after 90° counterclockwise rotation is H''(-1,2),O''(-4,-3),P''(-7,5) ,
(c) after 180° rotation is H'''(-2,-1),O'''(3,-4),P'''(-5,-7) .
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Answer:
D
Step-by-step explanation:
the picture
Why might two students have different calculated areas when measuring the same rectangle?
Because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.
What is a rectangle?In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.Because all of its angles are equal, it is also known as an equiangular quadrilateral or a parallelogram with a right angle.A square is a rectangle with four equal-length sides.So,
1st students measurement:
Length = 20.70, width = 10.442nd students measurement:
Length = 20.74, width = 10.46The formula of area:
Area = length × width1st students measurement:
Area = 20.70 × 10.44Area = 216.108 cm²2nd students measurement:
Area = 20.74 × 10.46Area = 216.940 cm²Therefore, because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.
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The complete question is given below:
Calculating the area of a rectangle
Your measurements Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)
Required:
Why might two students have different calculated areas when measuring the same rectangle?
-15-3w = 4w-2w
H is it a infinite solution or no solution
The solution is an infinite solution.
What is an infinite solution?An infinite solution can be defined as a solution with both sides equal to each other
Given the expression;
-15 - 3w = 4w - 2w
Let's simply the expression
Collect like terms
- 3w - 4w + 2w = 15
Add or subtract like terms
-5w = 15
Make 'w' the subject
w = 15/ -5
w = -3
Thus, the solution is an infinite solution.
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A rectangular sandbox is 3 feet by 4 feet. The depth of the box is 8 inches, but the depth of the sand is 3/4 of the depth of the box. Find each measure to the nearest tenth.
a. the surface area of the sandbox assuming there is no lid
The surface area of the sandbox assuming there is no lid is 21.3 feet
Calculating surface areaFrom the question, we are to determine the surface area of the sandbox
From the given information,
The dimension of the box is 3 feet by 4 feet
Thus,
Length = 4 feet
Width = 3 feet
and
The depth of the box is 8 inches
That is,
Height = 8 inches = 8/12 feet
Height = 2/3 feet
Now,
Using the formula for the surface area of a box
Surface area = (2lw + 2lh + 2wh)
If there is no lid,
The surface area becomes
Surface area = (lw + 2lh + 2wh)
Thus,
Surface area = (4×3 + 2×4×2/3 + 2×3×2/3)
Surface area = (12 + 16/3 + 4)
Surface area = (12 + 5.3 + 4)
Surface area = 21.3 feet
Hence, the surface area of the sandbox assuming there is no lid is 21.3 feet
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Suppose that the height of the slide is 2 feet,
when x = 20. What is the average rate of change
over the entire slide?
(answer is -3.9 on edge 2022 but all the other top brainly answers were incorrect)
The average rate of change over the entire slide if the height of the slide is 2 feet is; -3.9
What is the average rate of change?
Average rate of change is defined as a measure of how much the function changed per unit, on average, over that interval.
First, we will calculate the average rate from x = 0 to x = 15:
We have:
R = ((80 - 10)/(0 - 15))
R = -4.667
Let us now calculate average rate of change for the entire interval supposing that the height of the slide is 2 feet,:
From x = 0 to x = 20, we have;
R = ((80 - 2)/(0 - 20))
R = -3.9
Thus, we can conclude that the average rate of change over the entire slide is; -3.9
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Answer:
slower than & -3.9
Step-by-step explanation:
10-8(2x-7)
please help!!!!!!!!
gabriela is building a brick wall. each row of bricks is 6.5\,\text{cm}6.5cm6, point, 5, start text, c, m, end text tall except that the top row is 1\,\text{cm}1cm1, start text, c, m, end text shorter because it has no mortar. she wants the wall to be 259\,\text{cm}259cm259, start text, c, m, end text tall.
The equation is 6.5 (r-1) + 5.5 = 259 or 6.5 r - 1 = 259.
In this case, r stands for the overall number of rows.
The answer indicates that each row is 6.5 cm tall.
What is an equation?A formula known as an equation uses the equals sign (=) to express how two expressions are equal. The word "equation" and its cognates in other languages may have slightly different meanings. For instance, in French, an equation is defined as having one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. The task of solving an equation with variables entails figuring out which values of the variables cause the equality to hold true. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Identity equations and conditional equations are the two types of equations.
The height of the top row is 6.5 - 1 = 5.5 cm.
Except for this row, there are total rows of = (r-1)
So, 6.5 is the total length of these rows (r-1)
The overall length of the wall is therefore equal to the sum of the (r-1) row and the top row.
However, once more in line with the inquiry,
Exactly 259 centimeters must be on the wall.
⇒ 259 = 6.5(r-1) + 5.5
⇒ 6.5(r-1) + 5.5 = 259
⇒ 6.5 r - 6.5 + 5.5 = 259
⇒ 6.5 r - 1 = 259
Which is the required equation for finding the number of rows (r).
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Which of the following can be used to correctly solve the equation `-\frac{1}{3}x=18`?
Answer:
x = -54
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex] \sf \: `-\frac{1}{3}x=18`[/tex]
Step 1: Multiply both sides by 3/(-1).
[tex] \sf( \frac{3}{ - 1} ) \times ( \frac{ - 1}{3} x) = ( \frac{3}{ - 1} ) \times (18)[/tex]
[tex] \sf \: x = - 54[/tex]
What is an expression for the sale price of a bracelet that has been discounted 35% from its
sticker price? Evaluate the expression for a sticker price of $60. Use the variable s for the sale
price and p for the sticker price.
The expression which represents the sales price of the bracelet in terms of the sticker price is; s = 0.65p and the evaluation for a sticker price of $60 is; $39.
Which expression represents the sales price of the bracelet in terms of the sticker price?It follows from the task content that the bracelet has been discounted 35% from its sticker price.
Hence, the sales price of the bracelet is therefore; (100 - 35)% of sticker price, p.
Therefore, we have;
s = (65/100) × p
s = 0.65p.
Ultimately, the evaluation for a sticker price of $60 is; s = 0.65(60).
s = $39.
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Use the Law of Syllogism to draw a valid conclusion from each set of statements, if possible. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.If the measure of an angle is between 90-180 , then it is obtuse,
If an angle is obtuse, then it is not acute.
Given that statements 1 and 2 are true statements, the conclusion agrees with the laws of syllogism.
What is syllogism?In syllogism, we have a pattern of reasoning in which the flow is that the premise must lead to the conclusion. This implies that reasoning must be logically sound and unbiased.
Now let us look at the statements that we have here;
Statement 1 - .If the measure of an angle is between 90-180 , then it is obtuse
Statement 2 - If an angle is obtuse, then it is not acute.
We know that these are true syllogisms because mathematically, we define the obtuse angle as an angle that is greater than 90 degrees but less than 180 degrees.
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What’s is the answer
Answer:
C
Step-by-step explanation:
Taking a square root of a number that doesn't have a square root like [tex]\sqrt{17}[/tex] will result in an infinite number of random digits which is an irrational number. Hence, C is the answer.
D isn't the answer because even though [tex]\sqrt{5}[/tex] is irrational, you're adding [tex]\sqrt{5}[/tex] and then subtracting [tex]\sqrt{5}[/tex] from the total sum. Hence the total sum would be 5+14.
5+[tex]\sqrt{5}[/tex]+14-[tex]\sqrt{5}[/tex] =5+14+[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]= 5+14 ==> 19 is a rational number
Pls help me I know absolutely nothing abt geometry
Answer:
choice 2,5,6
Step-by-step explanation:
Answer:
i took it like 2 years ago. i think its MNP, N, 1, and PNM?
A rectangle that is 2 cm by 3 cm has been scaled by a factor of 5. What are the dimensions of the new rectangle? A.7 cm by 8 cm B.10 cm by 15 cm C.25 cm by 35 cm D.12 cm by 15 cm
Dimensions of new rectangle after getting scaled by factor of 5 are 10cm by 15cm. Option (B) is correct.
What is scale factor?
In two similar geometric figures the ratio of their corresponding side is scale factor let the old dimension be x and scale factor be a then new dimension will be a*x
If a>1 then their will be enlargement in the geometric figures
Given that rectangle that is 2 cm by 3 cm has been scaled by a factor of 5
It means scale factor be 5
New dimensions of given rectangle will be found by multiplying by 5
New length and breadth are 2*5=10
3*5=15
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What is the meaning of relative to in math like, what is the location of the dolphin relative to the surface of the water?
Answer:
bhe ganyan din
akin
Step-by-step explanation:
please help us
Complete the sentence.
3mi ≈ ____ km
The complete sentence is 3 mi ≈ 4.827 km
How to complete the sentence?The open sentence is given as:
3mi ≈ ____ km
In the standard unit of conversion, we have
1 mi ≈ 1.609 km
Multiply both sides by 3
3 * 1 mi ≈ 1.609 km * 3
Evaluate the product
3 mi ≈ 4.827 km
Hence, the complete sentence is 3 mi ≈ 4.827 km
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Carrie collected canned food for a homeless shelter in her area each day for one week. On day one, she collected 7 cans of food. On day two, she collected 8 cans. On day three, she collected 10 cans. On day four, she collected 13 cans. If Carrie wanted to give at least 100 cans of food to the shelter and this pattern of can collecting continued, did she meet her goal?
The number of can collected by Carrie after one week if the pattern continued will be; 105 cans and hence, she met her goal.
How many cans were collected by Carrie and dis she meet her goal?It follows from the task content that Carrie's target for can collection was 100 units of can collected over 1 week.
Since, one week contains seven, 7 days, it follows that she has 7 days to meet her target.
Following from observation, she increased the number of cans collected each day following a pattern; 7, 8, 10, 13.... where the difference between two successive days increases by 1 each time.
Hence, the number of cans collected for the rest of the days are as follows;
Day 5 = 13 + 4 = 17Day 6 = 17 + 5 = 22Day 7 = 22 + 6 = 28Therefore, the total number of cans collected is; 7 + 8 + 10 +13 + 17 + 22 + 28 = 105 cans and hence, she meets her goal.
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Points A, B, and C are collinear. Point B is between A and C. Find the value of x. AC = 19 AB = 4x + 3 BC = 3x + 2
The value of x = 2.
Three points of collinear are A, B, and C. Here point B is between A and C.
The properties of collinear point are,
a>The slope of AB is equal to the slope of BC,
b>Line AB + BC = AC
c>The area is equal to 0.
As the three points are collinear, and from the second property we have
AB + BC= AC
Where, AB = 4x + 3
BC = 3x + 2
So we have,
(4x + 3) + (3x + 2) =19
7x + 5=19
7x = 14
x=2
Therefore we get the value of x =2.
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If ST 13 and RT = 46, find RS. Use the number line below.
R
RS=
(Type an integer or a decimal.)
Answer:
RS = 33
Step-by-step explanation:
from the number line
RT = RS + ST ( substitute values )
46 = RS + 13 ( subtract 13 from both sides )
33 = RS
Answer:
RS = 33
Step-by-step explanation:
Given that,
→ ST = 13
→ RT = 46
Then the value of RS will be,
→ RS + ST = RT
→ RS + 13 = 46
→ RS = 46 - 13
→ [ RS = 33 ]
Hence, the value is 33.
Solve the Equation (completing the square)
15 = x^2- 14x
Answer: x = -1, 15
Step-by-step explanation:
15 = x²- 14x
⇒ x²- 14x-15 = 0
⇒ x²- 15x+x-15 = 0
⇒ x (x-15) + (x-15) = 0
⇒ (x-15) (x+1) = 0
Now,
x= -1, 15
Why do all sequences represent functions?
Basically, a sequence is a function whose domain is set of natural numbers and co-domain is set of real numbers.
Function:
A function relates each element of a set with exactly one element of another set (possibly the same set)
Real numbers:
Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”.
Domain
Domain is the set of all possible inputs of a function.
Co - Domain:
Co - domain is the set of its possible outcomes or results.
Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position.
That's why, every sequence must be the function itself.
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Complete the proof.
Given: 8 - 3x / 4=32
Prove: x=-40
Proof:
The proof of the given algebra equation is; x = -40
How to solve algebra problems?
We are given the algebra equation as;
(8 - 3x)/4 = 32
Using multiplication property of equality, multiply both sides by 4to get;
8 - 3x = 128
Using subtraction property of equality, subtract 8 from both sides to get;
-3x = 120
Using division property of equality, divide both sides by -3 to get;
x = -40
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otel is a full-service pet salon and boarding kennel. paws and claws has an interactive website where customers can directly book a grooming appointment, obedience class, or overnight accommodations for their dog or cat. paws and claws has several unexpected services, such as a 600-square foot swimming pool, complete with slide and dog-friendly graduated steps to help them exit the pool. customers can also
Answer: option c
Step-by-step explanation:
hope this helps
A printing company needs to ship 70,000 team calendars to the city's basketball team. The printing company can fit 7,000 calendars in each box. How many boxes will the printing company need to use?
10 boxes will be required by the printing company
It is a method in which one finds the value of a unit from the value of a number of units and the value of a number of units from the value of a unit.In the unit method, we always count the value of a unit or quantity first, and then we calculate the value of more or less quantities. This is why this method is called the unary method.
The mathematical unit method is also used to find the ratio between two quantities.
Company can fit 7000 calendars in 1 box
7000 calendars = 1 box
1 calendar = 1/7000
70000 calendar = 1/7000 * 70000
= 10 boxes
10 boxes will be required by the printing company
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Help me with this vertical angle
Answer:
Step-by-step explanation:
6x - 32 = 4x + 16
2x - 32 = 16
2x = 48
x = 24
6(24) - 32 = 144 - 32 = 112
4(24) + 16 = 96 + 16 = 112
directions: Find the distance between each pair of points
(-4, 6) and (3, -7)
According to the solving the distance between two points is:
= 14.77
What is an example of a distance formula?In coordinate geometry, the distance formula is used to calculate the actual distance between two points. The formula for calculating the distance between two locations (x1,y1) (x 1, y 1) and (x2,y2) (x 2, y 2) is D=(x2x1)2+(y2y1)2 D = (x 2 x 1) 2 + (y 2 y 1) 2.
What is the name of the distance between two points?The length of a line segment seems to be the distance between two locations. Congruent segments are those with the same length. By drawing a line with a ruler, we may compute the approximate distance between two points.
According to the given data:Given points: (-4, 6) and (3, -7)
X₁ = -4
Y₁ = 6
X₂ = 3
Y₂ = -7
We know that the distance between two points:
distance = √((x₂ - x₁)²+(y₂ - y₁)²)
= √((3 - (-4))²+((-7) - 6)²)
= √((3 + 4)²+(-13)²)
= √((7)²+(-13)²)
= √((49)+(169))
= √(218)
= 14.77
According to the solving the distance between two points is:
= 14.77
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