The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.
Referring to the figure, assuming:
Both equal sides are of length 'a' feetThe unequal side is of the length 'b' feet.Using the Pythagoras theorem, we get:
[tex]a^2 + a^2 = b^2\\\\a = b/\sqrt{2}[/tex]
It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.
Thus, we got [tex]a = 3[/tex], and therefore, we have: [tex]a = b/\sqrt{2} \implies b = a\sqrt{2} = 3\sqrt{2}[/tex]
Thus, perimeter of the triangle as:
[tex]a + a + b = 2a + b = 6 +3\sqrt{2} \: \rm ft[/tex]
Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
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Answer:
C : 6 + 3√2 ft
Step-by-step explanation:
it is right
trust me
A cookie recipe for 30 cookies calls for 2 cups of flour. How much flour is needed to make 45 cookies? How much cups is needed for 45 cookies. And what is the unit rate for cookie/cups of flour
Answer:
3 cups. 15 cookies to 1 cup of flour.
Step-by-step explanation:
The answer is 3 cups. The first thing you do is find the unit rate. Divide 30 by 2 and you know that 1 cup of flour makes 15 cookies. Then divide 45 by 15 which is 3 and which tells you that 3 cups of flour makes 45 cookies.
Reflect the shape A in the line y=-1
What are the coordinates of the vertices of the image?
random please answer
i am time limited
whoever answers correctly will be awarded brainliest
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
y=-1 is now a horizontal line passing through the point (0,-1)
I hope this helps!!
How to find the area of an equilateral triangle inside a circle
Answer:
Step-by-step explanation:
Graph the line with the equation y=1/2x+5
Here it is
.,.,.,.,..,.,.,.
The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. It is shot across a horizontal track then climbs up a vertical incline to a height of 139 m before stopping at the top. Ignoring friction and air resistance, what amount of kinetic energy must the coaster have before it goes up the incline?
Gravity 9.8 m/ ^2s
physical science!
Help pls
The kinetic energy that the coaster must have before it goes up is: 13.3megajoules.
What is kinetic energy?Kinetic energy refers to the energy that a body possesses due to its motion. It's known to be the energy needed to move a body of a given mass from rest to its stated velocity.
We can calculate the kinetic energy of the Kingda Ka roller in the following way:
K.E = Potential Energy
K.E = mgh
Where: m = mass = 9750
g = acceleration due to gravity = 9.8m/s²
h = height = 139m
Thus: K.E = 9750 x 139 x 9.8 = 13,281,450J
= 13.3megajoules.
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Gobe weighs 53.6 kg. he wears shoes which weigh 450 gm and carries a school bag weighing 4.5 kg. if he stands on the scales in his shoes and carrying the school bag. what weight will be recorded?
Answer:
58.55Kg
Step-by-step explanation:
450 in Kg is 0.45.
0.45 + 4.5 = 4.95. 4.95 + 53.6 = 58.55.
please help!
Find the exact volume of this cylinder in terms of 3.16 (Pi). Refer to your STAAR 8th Grade
Math Reference Sheet for the appropriate formula.
A) 45pi cm3
B) 90pi cm3
C) 225pi cm3
D) 900pi cm3
2nd Question (You don’t need to answer if you don’t want too..)
uhh how do I use the formula? do I multiply or??
thank you
Answer:
Question 1 )
given ,
height of cylinder = 9 cm
diameter of cylinder = 10 cm
[tex]\dashrightarrow \: radius = \frac{10}{5} \: cm \\ [/tex]
now ,
[tex]Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} [/tex]
therefore ,
option (C) is correct.
______________________________________
______________________________________
Question - 2 )
dimensions of the rectangular prism are 2 × 3 × 4
[tex]Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} [/tex]
hope helpful :D
The volume of the cylinder is 225 [tex]\rm cm^3[/tex] and the lateral surface area of the rectangular prism is 36 square cm.
It is given that the radius of the cylinder is 10 cm and height is 9 cm.
It is required to find the volume of the cylinder.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of a cylinder given by:
[tex]\rm V = \pi r^2 h[/tex]
We have diameter = 10 cm
Radius r = 10/2 = 5 cm
and height h = 9 cm
Volume will be:
[tex]\rm V= \pi \times5^2 \times 9[/tex]
V = 225π cubic cm
For the lateral surface area = 2h(l+b)
= 2×3(4+2)
= 36 square cm
Thus, the volume of the cylinder is 225 [tex]\rm cm^3[/tex] and the lateral surface area of the rectangular prism is 36 square cm.
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What is the variable in the following expression: 7x + 8
A. 7
B. X
C. 8
Answer:
B. X
Step-by-step explanation:
The variable is the unknown term.
This is represented by a letter.
In this case, the variable is "x".
So the answer is B.
Please help when you it’s important
The area of the sandbox is 5 x 5 = 25 square feet.
the cost of the sand = 25 square feet x 1.47 = $36.75
Answer: $36.75
Answer:
36.75
Step-by-step explanation:
5*5=25 ft^2
(area)
25*1.47=36.75
sand cost
ab" that goes through points (0,9)
Write an exponential function in the form y
and (10,9216).
[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{9})\qquad \implies 9=ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ (\stackrel{x}{10}~~,~~\stackrel{y}{9216})\qquad \implies 9216 = 9b^{10}\implies \cfrac{9216}{9}=b^{10}\implies 1024=b^{10} \\\\\\ \sqrt[10]{1024}=b\implies 2=b~\hfill \underline{y=9(2)^x}[/tex]
The Exponential function is [tex]y = 9(2^{x} )[/tex]
What is Exponential function?The mathematical expression for an exponential function is f (x) = aˣ where “x” denotes a variable and “a” denotes a constant that is the base of the function and ought to be greater than 0. The most regularly utilized remarkable capability base is the supernatural number e, which is roughly equivalent to 2.71828.
Given function
y = abˣ
and coordinates (0, 9) and (10, 9216)
when x = 0, y = 9
[tex]y = ab^{x}[/tex]
substitute values
9 = ab⁰
9 = a
and [tex]y = ab^{x}[/tex]
when x= 10 and y = 9216
9216 = 9(b)¹⁰
1024 = b¹⁰
[tex]\sqrt[10]{1024}[/tex] = b
b = 2
[tex]y = 9(2^{x} )[/tex]
Hence equation is [tex]y = 9(2^{x} )[/tex].
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is it adjacent or vertical
find the value of X
Answer:
Adjacent, x = 60°
Step-by-step explanation:
Adjacent angles are pairs of angles next to each other. Vertical angles make an x shape, are across from each other, and have the same measure. These are adjacent angles.
This is a 90° angles, which is signified by the little red box. To solve for x, make an equation by adding the two angles together and set them equal to 90.
x - 30 + x = 90
2x - 30 = 90
2x - 30 + 30 = 90 + 30
2x = 120
2x/2 = 120/2
x = 60°
Here, the angles x° and (x - 30)° both are complementary angles, so they will add upto 90°, thus we can obtain a equation as ;
[tex]{:\implies \quad \sf x^{\circ}+(x-30)^{\circ}=90^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2x^{\circ}-30^{\circ}=90^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2x^{\circ}=120^{\circ}}[/tex]
[tex]{:\implies \quad \sf x^{\circ}=\dfrac{120^{\circ}}{2}=\bf \boxed{60^{\circ}}}[/tex]
Hence, the required value of x is 60
HURRY PLEASE SOLVE will give brainliest!!!
2
x-9 = -5
2=x 2+x + 4-2=2 2-6+
-4
2
X
+2= 4 + 62 =66 +9 = 75Draw an example of a line RS. Label point T between points R and R. Using point T , draw ray TV.
The line RS would extend in both direction, while the ray TV would extend in one direction
What are lines?A line is an undefined term of geometry; and it can only be defined through examples. However, the general notion is that a line extends in both directions without end
What are rays?Rays are extracts from a line; that have a fixed point and an endless point
Using the above definitions, we can draw the line RS such that the point T is located on line RS and the point T extends to point V to form a ray TV
See attachment for the diagram
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Elsa drove 737 miles in 11 hours.
At the same rate, how many miles would she drive in 13 hours?
Answer:
871 miles
Step-by-step explanation:
737/11= 67
67 x 13= 871
Is 5.23 * 10 the 8th power in scientific notation?
Answer:
yes
Step-by-step explanation:
anything with 10^n multiplied by a number from 0 to 10 is
What is the radical form of 32x 1/6 ?
Step-by-step explanation:
Given:
32^(1/6)
To Find:
Convert to Radical form 32^(1/6)?
Solution:
here, given that- 321/6
Since, we know that - If n is a positive integer
that x and a is a real number or a factor, then
an = Vu?
=
now, using this rule to convert 321/6 to a radical,
where a=32, x=1 and n=6
√32
Hence,
Exact form:
32
Decimal Form:
2
PLEASE HELP!!!!!!!!
How do I write these in Slope y-intercept form example: y=1/2x-5
7) 2x - y = 3
8) 2x+4y = 8
9) 3x-5y=10
10) 3x-1/2y=2
Answer:
The answers would be:
7) y=-0.5x+2
8) y=-0.5x+2
9) y=0.6x-2
10) y=6x-4
Step-by-step explanation:
Anja collected data about the number of dogs 9th-grade students own. she created this histogram to represent the data and determined that it is skewed right. a graph shows number of dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis. 0 dogs at frequency 20. 1 dog at frequency 15. 2 dogs at frequency 12. which statement is true about anja’s claim? she is incorrect; the histogram is skewed to the left because more data is on the left side. she is incorrect; the histogram is skewed to the left because there is more data on the right side. she is incorrect; the histogram is symmetrical because the right side is equal to the left side. she is correct; the histogram is skewed to the right because there is less data on the right side.
As the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.
What is a histogram graph?A histogram graph is a graphical representation of given data. It is a bar graph that represents a frequency distribution by rectangles separated from each other with equal spaces.
A graph shows several dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis.
here, we can see from a given data that as the number of dogs increases the frequency on the vertical axis decreases. At 0 dogs the frequency is 20, at 1 dog the frequency is 15, At 2 dogs the frequency is 12.
The histogram is skewed to the right because there is less data on the right side as the frequency decreases.
Therefore, the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.
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Answer:
d
Step-by-step explanation:
Which of the following quadratics will have a maximum value at x = 3?
(1) y = x² - 6x +19
(3) y=-2x² + 20x - 49
(2) y=-4x² +24x-21
(4) y = 2x² – 3x+7
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{y = x^2 - 6x + 19}\\\mathsf{y = 6^2 - 6(3) + 19}\\\mathsf{y = 36 - 18 + 19}\\\mathsf{y = 18 + 19}\\\mathsf{y = 37}[/tex]
~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -2x^2 + 20x - 49}\\\mathsf{y = -2(3)^2 + 20(3) - 49}\\\mathsf{y = -2(9) + 60 - 49}\\\mathsf{y = -18 + 60 - 49}\\\mathsf{y = 42 - 49}\\\mathsf{y = -7}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -4x^2 + 24x - 21}\\\mathsf{y = -4(3)^2 + 24(3) - 21}\\\mathsf{y = -4(9) + 72 - 21}\\\mathsf{y = -36 + 72 - 21}\\\mathsf{y = 36 - 21}\\\mathsf{y = 15}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = 2x^2 - 3x + 7}\\\mathsf{y = 2(3)^2 - 3(3) + 7}\\\mathsf{y = 2(9) - 9 + 7}\\\mathsf{y = 18 - 9 + 7}\\\mathsf{y = 9 + 7}\\\mathsf{y = 16}[/tex]
~~~~~~~~~~~~~~~~~~~~
[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If RV=w and SU=w–30, what is the value of w?
Answer:
w = 60
Step-by-step explanation:
the midsegment SU is half the measure of side RV, then
SU = RV , so
w - 30 = w ( multiply through by 2 to clear the fraction )
2w - 60 = w ( subtract w from both sides )
w - 60 = 0 ( add 60 to both sides )
w = 60
a machine prints 1500 newspapers in 45 minutes how many does it print in 12 hours
Answer:
ans is 24000
Step-by-step explanation:
frist convert 12 into mins
/ it with 45
now multiple it with 1500
now ans 24000
(Assuming it works at a constant rate)
45 minutes = 3/4 of an hour
If it works for 12 hours, it works for 12 : 3/4 = 16 times more than 45 minutes.
Since it works at a constant rate, it must also print 16 times more paper than in 45 minutes.
So, in 12 hours, the machine print 1500 x 16 = 24000 (papers)
Erik rides his motorbike 26/23 miles in 23 hour. What is Erik’s average speed in miles per hour?
Answer:
Average speed = 40 mph.
Step-by-step explanation:
You roll a number cube and then spin a spinner with two equal-sized sections.
What is the probability of rolling a number greater than 3 and spinning red?
A. 1/4
B. 1/6
C. 1/3
D. 1/2
Please explain how got the answer
Answer:What is the probability of spinning a 2 on the spinner?
Image result for You roll a number cube and then spin a spinner with two equal-sized sections. What is the probability of rolling a number greater than 3 and spinning red? A. 1/4 B. 1/6 C. 1/3 D. 1/2
There are 2 sections on the spinner that contain a '2'. The probability of spinning a 2 is 2 / 8 . The probability of spinning a 3 is also 2 / 8
Step-by-step explanation:
The probability of rolling a number greater than 3 and spinning red is 1/4.
We need to determine the favorable outcomes (the outcomes that satisfy both conditions) and the total possible outcomes.
The numbers greater than 3 and corresponding to the red section are: 4R, 5R, and 6R. So, there are 3 favorable outcomes.
Since we have a number cube with 6 sides and a spinner with 2 sections, the total possible outcomes are the product of the number of sides on the cube and the number of sections on the spinner, which is 6 × 2 = 12.
The probability is calculated by dividing the number of favorable outcomes by the total possible outcomes.
Probability = Favorable outcomes / Total possible outcomes
= 3 / 12
= 1 / 4
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HURRY PLEASE , I WILL GIVE BRAINLIEST FOR CORRECT ANWSER
Answer:
B.
Step-by-step explanation:
1) the given equation is provided in slope-interception form, then
2) the interseption is '-3', it means the point (0;-3) - the correct answer is either B or C;
3) the slope of the given line is more that 1 (3/2>1), it means the angle is [45°;90°], then the line of the answer B is satisfies this condition.*
4) finally, the correct answer is B.
* - if to substitute the point (2;0) then it will be true equality 0=0.
3.
Which system of equations has infinite solutions? Select all that apply.
A. y = 4x + 4
y=x - 4
B. y = -2x + 4
y=x+4
-6
C. y=4
x=-2
D. y = 5x + 3
3y = 15x +9
Answer:
B and D
Step-by-step explanation:
in D 15x+9=15x+9
in B x=0
find the volume of the cubes or rectangular prisms in cubic centimeters.36/125 cm 3 6/125 cm 3 8/125 cm 3 1/125 cm 3cube with a side length of cmrectangular prism with a length,width, and height of cm, cm,and cm, respectivelycube with a side length of cmrectangular prism with a length,width, and height of cm, cm,and cm, respectively
Applying the formula for volume of a rectangular prism and volume of a cube, we would have:
a. 6/125 cm³
b. 8/125 cm³
c. 1/125 cm³
d. 36/125 cm³
What is the Volume of a Rectangular Prism and a Cube?Volume of rectangular prism = length × width × height.Volume of cube = (side length)³a. Volume of rectangular prism = length × width × height = (1/5) × (2/5) × (3/5)
Volume of rectangular prism = 6/125 cm³
b. Volume of cube = (side length)³ = (2/5)³
Volume of cube = 8/125 cm³
c. Volume of cube = (side length)³ = (1/5)³
Volume of cube = 1/125 cm³
d. Volume of rectangular prism = length × width × height = (3/5) × (4/5) × (3/5)
Volume of rectangular prism = 36/125 cm³
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Which statement is true about the distribution
Answer:
The range is the best measure of variability because the distribution has an outlier.
Either the IQR or the range are good measures of variability because the distribution has no outliers.
The IQR is the best measure of variability because the distribution has an outlier.
Step-by-step explanation:
is this what you was looking for
What is the following quotient?
Answer:
B
Step-by-step explanation:
The second option is the answer
Hope this helps :)
Question:
A room is half as long again as it is board. The cost of carpeting the room at Rs. 3.25 per m² is Rs 175.50 and the cost of papering the walls at Rs 1.40 per m² is Rs 240.80. If 1 door and 2 windows occupy 8 m² , find the dimensions of the room.
[tex] \rule{200pt}{5pt}[/tex]
Don't Spam ❎
Given A room is half as long again as it is broad
Let the breadth of the room x m
length of the room x + x/2 = 3x/2m
Area of the room , x × 3x/2 = 3x²/2m
Given , cost of carpeting the room at Rs. 3.25m⁻²
So , total cost , 3x²/2 × 3.25
But , Total cost of carpeting is given as 175.50 so ,
(3x²/2 )× 3.25 = 175.50 x² = 175.50 × 2 / 3.25 × 3 x² = 36 x = 6 Breadth x = 6 mlength 3x/2 = 9mlet the height of the room H m
Area of the four wall = 2(L+ b)× h 2(6+9)× H
= 30H m²
Area of the of the one door and two window is 8m²
8m² Area to be prepared = Area of four wall - area of two window and 1 door = (30H - 8) m²
Given cost of preparing wall is Rs. 1.40m²
total cost of preparing wall is (30H - 8) × 1.40
Total cost of preparing wall is given as 240.80
comparing , (30H - 8 ) × 1.40 = 240.80
(30H - 8 ) = 240.80 /1.40 = 172 30H -. 8 = 172 30H = 180 H = 180/30 = 6Hence, Dimensions of the room are lengths 9m , breadth 6m and height 6m
The charge of an atom is the sum of the charges of its protons, neutrons, and electrons.
• Each proton has a charge of e.
• Each neutron has a charge of 0.
Each electron has a charge of -e.
An atom consists of 6 protons, 10 neutrons, and 4 electrons.
How many electrons would need to be added to make the charge of the atom 0?
Answer:
2 electrons
Step-by-step explanation:
2 electrons is the answer
If u need explanation do mention in comments
Answer:
*2 electrons more*
Explanation:
In an atom the number of electron and protons must be same.Otherwise, it will have charge and form ions. [ ignore the neutrons ]
Here,
protons: 6electrons: 4The electron and proton is unbalanced, In order to make them same.
2 more electrons need to be added to make total 6 electrons.