Answers
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
Related Questions
Please answer these questions:
a) What are the 2 features that make this shape a square?
b) A quadrilateral has no pairs of parallel sides. What 2 shapes could this be?
c) A triangle has one pair of equal sides and one pair of equal angles. What is it called?
Answers
Answer:
A. 1. The sum of all interior angles is equal.
2. All sides are equal in length.
B. Trapezium.
C. isosceles triangle.
Is 6km bigger then 54,000mm?
Answers
Answer:
Yes
Step-by-step explanation:
To answer this question, we will need to know how many millimeters are in a kilometer.
1 km = 1,000,000 mm
Therefore, 6km is WAY bigger than 54,000 mm
Lowes is having a Customer Appreciation Day Sale. Everything in the store is 25% off. The final purchase for the consumer is $2021.63. What is the cost to the consumer? Sales tax is 5%.
Answers
Answer:
$1592.03
Look at image above...
Without solving the addition problems, tell whether the answers are going to be odd or even. Model 39 +42 odd 1. 64 + 82 2. 129 + 377 3. 468 +599 4. 1,987 + 9,888 Activity 4 Without solving the multiplication problems, tell whether the answers are going to be odd or even. Model 39x42 even 2. 137 x 141 1. 78 X 44 4. 5,111 x 8,222 3. 528 X 603.
SOS HOMEWORK
Answers
Answer:
3. 1067
4. 11875
5. 1638
6. 19317
7. 3432
8. 42022642
9. 318384
help please, can you figure it out?
Answers
Answer:
4,333$
Step-by-step explanation:
There are 12 months in a year so we divide 52,000 by 12 and it equals 4,333 if you rounded it.
10 people each wants 3 slices but a box has 8 slices
Answers
Answer:
you need 30 slices
a minimum of 4 boxes of pizza
Step-by-step explanation:
Determine the solution to the system of equations below.
x - 3y = 1
3x-5y = 11
Pls answer for 50 brainlist!!
Answers
Answer:
[tex]\boxed{\sf{x=7 \quad y=2}}[/tex]
Step-by-step explanation:
To solve this problem, isolate it on one side of the equation.
x-3y=1 and 3x-5y=11x-3y=1: x=1+3y
x=1+3y
Substitute.
x=1+3y= 3(1+3y)-5y=11
Solve.
3+4y=11
Subtract by 3 from both sides.
3+4y-3=11-3
Solve.
11-3=8
Rewrite the problem down.
4y=8
Divide by 4 from both sides.
4y/4=8/4
Solve.
8/4=2
y=2
x=1+3y
x=1+3*2
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract1+3*2
Multiply.
3*2=6
Add.
1+6=7
x=7
Therefore, the correct answer is x=7 and y=2.I hope this helps you! Let me know if my answer is wrong or not.
Sonia has only dimes and nickels in her coin jar; they are in a ratio of 3 to 5. IF she had 120 coins in the jar, how many are dimes? PLEASE HELP
Answers
Answer:
45 dimes and 75 nickels
Step-by-step explanation:
3 ÷ 8 × 120 = 45
you divide the three by both ratios summed up (8) and then you multiply that by the coins
doing so will you can get 45
and to get the amount of nickels you just subtract 45 from 120 and you get 75
arah walks 3.1 kilometers on Monday and 1.35 kilometers on Tuesday. On Wednesday she walks 2.4 times as far as she walked on the previous two days combined.
How far does Sarah walk on Wednesday?
Answers
Answer:
10.68
Step-by-step explanation:
3.1+1.35=4.45 4.45×2.4=10.68
What are the coordinates of the vertex of the function f(x)=x2 10x−3?
Answers
Answer:
A. (-5, -28)
Step-by-step explanation:
The coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex] is
(-5, -28).
It is given that the function [tex]\rm f(x) = x^2+10x-3[/tex]
It is required to find the coordinates of the vertex.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a function:
[tex]\rm f(x) = x^2+10x-3[/tex]
This function represents a parabola.
We know the standard form of parabola in quadratic style:
[tex]\rm f(x)=ax^2+bx+c[/tex]
By comparing the given function to the standard form of parabola, we get
a = 1, b = 10, and c = -3
The vertex of the parabola is given by:
[tex]\rm x = -\frac{b}{2a}[/tex]
Putting the values in the above equation, we get:
[tex]\rm x = -\frac{10}{2\times1} \Rightarrow -5[/tex]
x = -5 put this value in the given parabola function, we get:
[tex]\rm f(-5) = (-5)^2+10(-5)-3\\\rm f(-5) = 25-50-3\\\rm f(-5) = -28[/tex]
or y = -28
The coordintes = (x, y) : (-5 , -28) which is shown in the graph.
Thus, the coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex] is (-5, -28).
Know more about the parabola here:
brainly.com/question/8708520
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6
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∪
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on a number line
Answers
Answer:
I think your adopted and nobody loves you
Step-by-step explanation:
The difference of x and 7 is at most -28. Translate the sentence into an inequality
Answers
Answer:
x - 7 [tex]\leq[/tex] -28
Step-by-step explanation:
I guarantee you that this is correct. It's pretty simple to understand.
Please mark Brainliest. :)
Jasmine got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 23 cents per yard. If after that purchase there was 19.71 left on the card, how many yards of ribbon did jasmine buy?
Answers
Answer:
23 Yards
Step-by-step explanation:
So for this question, we would have to start off with writing an equation: 19.71+0.23x=25 once we subtract 19.71 on both sides, the left over sum of money will be 5.29. Since we are dealing with BOTH Dollars and Cents, it should be remembered to use 23 CENTS instead of Dollars. [tex]\frac{5.29}{0.23}[/tex]= 23 so the finals answer is 23 yards.
Answer:
23 Yards
Step-by-step explanation:
So for this question, we would have to start off with writing an equation: 19.71+0.23x=25 once we subtract 19.71 on both sides, the left over sum of money will be 5.29. Since we are dealing with BOTH Dollars and Cents, it should be remembered to use 23 CENTS instead of Dollars. = 23 so the finals answer is 23 yards.
Will give brainly if right
Answers
Answer:
60.61
Step-by-step explanation:
the missing angle is 51 degrees
we can say sin74/x = sin51 / 49
now we just solve for x.
x = 60.61
poiuytredfghjkl........
Answers
Answer:
yes you are correct
Step-by-step explanation:
not sure what you mean but yea
Solve these equation
4(3-x)=(1-2x)
Answers
To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.
[tex]:\implies\tt{4(3 - x) = (1 - 2x)}[/tex]
[tex]:\implies\tt{(12 - 4x) = (1 - 2x)}[/tex]
[tex]:\implies\tt{12 - 4x = 1 - 2x}[/tex]
Combining like terms, we get,
[tex]:\implies\tt{12 - 1 = - 2x + 4x}[/tex]
[tex]:\implies\tt{11 = 2x}[/tex]
[tex]:\implies\tt{2x = 11}[/tex]
[tex]:\implies\tt{x = \frac{11}{2} }[/tex]
[tex]:\implies\tt{x = 5.5}[/tex]
The value of x is 5.5Hey there!
4(3 - x) = (1 - 2x)
4(3) + 4(-x) = 1 - 2x
12 - 4x = 1 - 2x
-4x + 12 = -2x + 1
ADD 2x to BOTH SIDES
-4x + 12 + 2x = -2x + 1 + 2x
SIMPLIFY IT!
-2x + 12 = 1
SUBTRACT 12 to BOTH SIDES
-2x + 12 - 12 = 1 - 12
SIMPLIFY IT!
-2x = -11
DIVIDE -2 to BOTH SIDES
-2x/-2 = -11/-2
SIMPLIFY IT!
x = 11/2
Therefore, your answer should be:
x = 11/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
For a project in her Geometry class, Naomi uses a mirror on the ground to measure
the height of her school building. She walks a distance of 12.25 meters from the
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the school clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.15 meters. How tall is the school? Round your answer to the
nearest hundredth of a meter.
Answers
Answer:
8.28
Step-by-step explanation:
we can express this question as
12.25/1.7=x/1.15
this can be simplified to
x=8.28
The height of Naomi's school building is 8.29 meters
Concept of similar triangles:
Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.
In the given question and attached figure we have,
BC = 12.25 metersCD = 1.7 metersDE = 1.15 metersNow we have to find the height(AB) of the building,
By the properties of similar triangles, we can write,
AB / BC = DE / CD
Putting all the values we get,
AB / 12.25 = 1.15 / 1.7
Simplifying we get,
AB = (1.15 / 1.7) × 12.25
By further simplifying,
AB = 8.29 meters
Therefore, the height of Naomi's school building is 8.29 meters.
know more about similar triangles click here - brainly.com/question/27243378
#SPJ2
Solve the System of Equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answers
Answer:
b no. is the correct answer
X= ___ Degrees? Will Mark Brainliest, Please Help!!!
solve all attached below for 100 points.
Answers
Answer:
53°
Step-by-step explanation:
Please help me with this question , we are now just learning it .
Answers
Answer:
angle 3 and angle 4 are adjacent angle
if raymond had 50 dogs and gets 80 how many does he have?
Answers
Answer:
50+80 = 130
Step-by-step explanation:
Answer:
50+80=130
Step-by-step explanation:
please mark me the brainiest
show work please and no links
Answers
Answer:
man it’s one in the morning and your picture is blurry a f
Step-by-step explanation:
can anyone help me with this question, i dont really understand how to do pls help me
Answers
there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7
One box measures 2 feet by 1 foot by 1 foot a larger box measures 2feet by 2 1/2 feet by 2 how many times larger is the volume of the larger box then the smaller box
Answers
The number of times the larger box is bigger than the smaller box is 5.
How many times larger is the larger box?The first step is to determine the volume of both boxes.
Volume = length x width x height
Volume of the larger box = 2 x 2 1/2 x 2 = 10ft³
Volume of the smaller box = 2 x 1 x 1 = 2 ft³
Now divide the Volume of the larger box by the volume of the smaller box : 10 / 2 = 5
To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747
Find the 12th term of the geometric sequence 1, -4, 16,
Answers
Answer:
a₁₂ = - 4194304
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = [tex]\frac{-4}{1}[/tex] = - 4 , then
a₁₂ = 1 × [tex](-4)^{11}[/tex] = - 4194304
for every 1/2 cup portion of baby cereal you will need 4 oz of milk. how many ounces of milk will you need to prepare 20 portions
Answers
Answer:
80 oz
Step-by-step explanation:
20 portions times 4 oz is 80 oz
Need some help with trinomial
Answers
Answer:
(x - 6)(x + 2)
Step-by-step explanation:
assuming you require the trinomial to be factorised.
x² - 4x - 12
consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 4)
the factors are - 6 and + 2 , since
- 6 × 2 = - 12 and - 6 + 2 = - 4 , then
x² - 4x - 12 = (x - 6)(x + 2)
The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. cobalt-60 has a half-life of about 5.3 years. which equation gives the mass of a 50 mg cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain? ; 13.5 mg ; 34.6 mg ; 0.2 mg ; 4.6 mg
Answers
The required equation f(10) = 13.52 mg remains.
We have given that ,
m is the initial mass and h is the half-life in years. cobalt-60 has a half-life of about 5.3 years. which equation gives the mass of a 50 mg cobalt-60
What is the fromula for he amount of a radioactive substance remaining after t years?The amount of a radioactive substance remaining after t years is given by the function
[tex]f(t)=m(0.5)^{t/h}[/tex]............ (1),
where m = initial mass and h= half-life in years.
Now, for Cobalt-60, h = 5.3 years, m = 50 mg and t = 10 years,
then from equation (1) we get,
[tex]f(10)=50(0.5)^{10/5.3}[/tex]
Therefore the required equation f(10) = 13.52 mg .
To learn more about the mass of radioactive substance visit:
https://brainly.com/question/25793075
Answer:
The required equation f(10) = 13.52 mg remains.
We have given that ,
m is the initial mass and h is the half-life in years. cobalt-60 has a half-life of about 5.3 years. which equation gives the mass of a 50 mg cobalt-60
What is the fromula for he amount of a radioactive substance remaining after t years?
The amount of a radioactive substance remaining after t years is given by the function
............ (1),
where m = initial mass and h= half-life in years.
Now, for Cobalt-60, h = 5.3 years, m = 50 mg and t = 10 years,
then from equation (1) we get,
Therefore the required equation f(10) = 13.52 mg .
To learn more about the mass of radioactive substance visit:
brainly.com/question/25793075
Write the expression t = 8 + 2h to represent the
temperature change for that day. Circle all of the expressions below that are equivalent to T
t=8+2h
a. t = h + 8 + 2h
c. t = 4h + 6 - 2h + 2
b. t= 8 + h + h
d. t = 8 - 2h
Answers
students were grouped into 4 classrooms with an average of 33.5 students per classroom. if the students were regrouped into 5 classrooms, what would be the average number of students in each room?
Answers
Answer:
26.8
Step-by-step explanation:
Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.
Total students that were divided into 4 classrooms :
33.5 × 4 = 134
So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.
134 ÷ 5 = 26.8
So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .
Hope this helped !