For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm
Answers
The ratio of the area of the first figure to the area of the second figure is 4:1
Ratio of the areas of similar figuresFrom the question, we are to determine the ratio of the area of the first figure to the area of the second figure
The two figures are similar
From one of the theorems for similar polygons, we have that
If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²
Let the base length of the first figure be ,m = 14 mm
and the base length of the second figure be, n = 7 mm
∴ The ratio of their areas will be
[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]
[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]
[tex]=\frac{4}{1}[/tex]
= 4:1
Hence, the ratio of the area of the first figure to the area of the second figure is 4:1
Learn more on Ratio of the areas of similar figures here: https://brainly.com/question/11920446
Related Questions
Which of the following tables represent linear relationships?
Answers
Answer:
Table 2 and 3
Step-by-step explanation:
A linear relationship should show a straight line, showing that it's linear.
*View the attached graphs*
Hope this helps!
3⁄4 of 2⁄3 =? givin brainliest
Answers
Answer:
1/2
Step-by-step explanation:
3/4 of 2/3 = 3/4 × 2/3 = 6/12 = 1/2
help i dont know how to do this and i forgot the study guide
Answers
Answer:
number 1 is a
Step-by-step explanation:
I don’t know the rest tho but good luck
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Some number increased by two A) a ÷ 2
A variable decreased by two B) y2
Product of an unknown value and two C) 2z
Quotient of some number and two D) x − 2
An unknown value squared E) b + 2
Answers
Answer:
some number increased by two: (E) b+2
A variable decreased by two: (D) x-2
Product of an unknown value and two (C) 2z
Quotient: (A) a / 2
An unknown value squared: (B) y2
A student performed the following steps to find the solution to the question x^2 - 2x - 15 = 0. Where did the student go wrong?
Step 1: Factor the polynomial into (x + 3) and (x - 5)
Step 2: x + 3 = 0 and x - 5 = 0
Step 3: x = 3 and x = -5
A. In step 2
B. The student did not make any mistakes, the solution is correct
C. In step 1
D. In step 3
Answers
Answer:
D In step 3
Step-by-step explanation:
Given polynomial: x² - 2x - 15 = 0
Step 1: factor the polynomial ⇒ (x + 3)(x - 5) = 0
Step 2: x + 3 = 0 and x - 5 = 0
Step 3: x = -3 and x = 5
x - 5 = 0
Add 5 to both sides:
⇒ x - 5 + 5 = 0 + 5
⇒ x = 5
The diagram shows the shape of a schools auditorium stage. What is the area of the stage?
Do number 5
Answers
Answer:
100 square feet (100 ft²)
Step-by-step explanation:
Formula
Area (trapezoid) = 1/2 x sum of parallel sides x heightArea (parallelogram) = base x heightArea of stage
Area (trapezoid) + Area (parallelogram)1/2 x (8 + 12) x 4 + 4 x 152 x 20 + 6040 + 60100 square feetArea of trapezoid:-
1/2(Sum of parallel sides×Height)1/2(8+12)×42(20)40ft²Area of parallelogram
BH15(4)60ft²Total:-
60+40=100ft²In a new video game, Franky had -16 1/2 points. He was able to earn 3/4 of the points he lost back. How many points did he have?
Answers
Answer:
slightly confused on the wording if he got back 3/4 from 16.5 then he earned back 12.375 points
if -16.5 is the 1/4 he didnt get back then he had 66 points
Step-by-step explanation:
Find the volume of the prism. An oblique rectangular prism with length of 4 meters and width 7 meters. The height of the prism is 8 and one-half meters.
Answers
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Length of rectangular prism = [tex]\sf\red{4m}[/tex]
[tex]\rightarrow[/tex] Width of rectangular prism = [tex]\sf\red{7m}[/tex]
[tex]\rightarrow[/tex] Height of rectangular prism = [tex]\sf\red{8.5m}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
Volume of given Rectangular Prism.[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] We can find the volume of given rectangular prism by using the formula:
[tex]\sf\blue{Length × Width ×Height}[/tex]
So, let's begin:
[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{Length × Width ×Height}[/tex](putting the value of length, width and height from the above given)
[tex]\rightarrow[/tex][tex]\sf{=\:4× 7 ×8.5}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:28×8.5}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:238m^3}[/tex]
Therefore, volume of the given rectangular prism = [tex]\sf\purple{238m^3.}[/tex]
______________________________
Hope it helps you:)
What is the value of w?
Answers
Answer:
amgle sut is equal to angle suv bcz of sas criteria . so 10+w = 3w
on solving we get w= 5
Find csc theta if sin theta = 4/5
Answers
Answer:
5/4
Step-by-step explanation:
csc theta is essentially 1/sintheta
so you can say that csc theta is 5/4.
another way to do this is to draw the right triangle and find the values of all the sides. this way you'll be able to find all the trig values of the triangle.
post a comment if you want any further guidance or help.
please answer correctly :)
Answers
8x+2+34=180
8x+36=180
8x=144
x=18
if 8 pieces is 180 calories how many calories would one piece be?
Answers
Answer:
22.5
Step-by-step explanation:
8 pieces is 180 calories to find the calorie of one piece :
180/8 to get 22.5
I NEED HELP ASAP, I NEED BOTH QUESTIONS ANSWERED THIS IS WORTH 50 POINTS SO PLS HELP ASAP~~
Answers
Enter the solution (x, y) to the system of equations shown.
y=4x−3
y=−x−13
Answers
Answer:
x=-2
y=-11
Step-by-step explanation:
4x-3=-x-13
5x-3=-13
5x=-10
x=-2
y=4(-2)-3
y=-11
5:8:12 of 1,220,000
organize in least to greatest
1.
2.
3.
Answers
Answer:
244,000390,400585,600Step-by-step explanation:
The total number of parts is 5+8+12 = 25, so the fractions are ...
5/25 × 1,220,000 = 244,000
8/25 × 1,220,000 = 390,400
12/25 × 1,220,000 = 585,600
Least to greatest, the parts are ...
244,000390,400585,6002) Which situation ONLY describes a purchase made with a credit card?
A) Natalie purchased a new computer with her card. The money came straight out of her checking account
B) Jackie loves using her card to make purchases because it is convenient to use, and she doesn't have to carry cash
David paid for dinner with his card. Each time he uses this card his checking account decreases by the purchase amount
D) Maggie took her mother to the movies and paid for it with her card. This charge appeared on a bill she received two weeks later,
Answers
Answer:
D is the correct answer. This charged appeared on a bill
6x + y=4x+ 11y, write a formula for h(x) in terms of x
Answers
Answer:
[tex]h(x)=\frac{1}{5}x[/tex]
Step-by-step explanation:
To write a formula for a function, such as h(x), you need to solve for y.
[tex]6x+y=4x+11y[/tex]
[tex]-4x[/tex] [tex]-4x[/tex]
[tex]2x+y=11y[/tex]
[tex]-y[/tex] [tex]-y[/tex]
[tex]2x=10y[/tex]
[tex]/10[/tex] [tex]/10[/tex]
[tex]\frac{2}{10}x=y[/tex]
[tex]y=\frac{1}{5}x[/tex]
y and h(x) mean the same thing, so you can subsitute h(x) for y in order to fit the question.
Therefore, [tex]h(x)=\frac{1}{5}x[/tex]
write 156/51 as a mixed number in simplest terms
A) 3 1/17
B) 3 3/51
C) 3 2/51
D) 3 1/27
Answers
Answer:
B option is the answer, hope this helps!!
Acme Movers charges $45 plus $40 per hour to move household goods across town. Hank's Movers charges $55 per hour. For what lengths of time does it cost less to hire Hank's Movers?
Answers
The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours
Word ProblemGiven Data
Acme Movers charges $45Plus $40 per hour Hank's Movers charges $55 per hourLet x be the time takenFor Acme, the expression for the total charges is
Total = 45+40x ----------1
For Hank, the expression for the total charges is
Total = 55x ----------------2
Equating both expressions we have
45+40x = 55x
collect like terms
45 = 55x-40x
45 = 15x
divide both sides by 15
x = 45/15
x = 3 hours
Learn more about algebra here:
https://brainly.com/question/22399890
Can you help me solve this
Answers
Answer:
27 miles
Step-by-step explanation:
27 miles is your answer
5
Type the correct answer in the box. Use numerals instead of words.
New York City has a population of approximately 8.8 million people with a population density of approximately 29,300 people per square mi
What is the approximate area of New York City to the nearest square mile?
The area of New York City is approximately
square miles.
Answers
Answer:
300
Step-by-step explanation:
10 men can do the work in 8 days. how many men should be reduced to finish the work in 10 days
Answers
If Reducing 2 men will bbe enough too finish the work in 10 days
For rate of work use the formualar
rate of work = quantity of work / duration
10 men can do the work at a rate of = 1 / 8
x men can do same work at a rate of = 1 / 10
x * ( 1 / 8 ) = 10 * ( 1 / 10 )
x = 1 * 8 = 8
therefore 8 men can do the work in 10 days
number of men reduced = 10 men - 8 men = 2 men
Hope it helped
Write the equation of the line with a slope of 6 and pass-through (-2,-4)
Answers
Answer:
y=6x+8
Step-by-step explanation:
y=mx+b
-4=6(-2)+b
-4=-12+b
8=b
10) Complete the net worth statement by determining the total assets and total liabilities. What is the net worth? A) $178,000 B) $180,338 C) $1,052,662 D) $1,233,000
Answers
Answer:
C) $1,052,662
Step-by-step explanation:
Sorry the answer was late and also this is the right answer because i did the test
Will someone please help <3
Answers
Answer:
area of base is 9pi
circumference of base is 6pi
lateral surface 24
surface area is 42
Step-by-step explanation:
pls answer i need to answer it in 10-15 mins plsss
Answers
Answer:
The sum of two even numbers is an even number
Step-by-step explanation:
Hey there!
As you can see in the table, all the even numbers when added up are equal to an even number
This make the statement "The sum of two even numbers is an even number" true
A restaurant has a soup-and-salad lunch with the choices listed in the table below. A soup and a salad are selected at random.
What is the probability that tomato soup and a garden salad are selected?
A 1/6
B 1/5
C 1/3
D 5/6
Answers
Answer:
I think it is B) 1/5, but I am not sure.
Questione Simplify Cosa + 2Cos(a +240")
Answers
Step-by-step explanation:
[tex] \cos(a) + 2 \cos(a + 240) [/tex]
[tex] \cos(a) + 2 \cos(a) \cos(240) - \sin(a) \sin(240) [/tex]
[tex] \cos(a) + 2( - \frac{ \cos(a) }{2} + \frac{ \sqrt{3} }{2} \sin(a) )[/tex]
[tex] \cos(a) - \cos(a) + \sqrt{3} \sin(a) [/tex]
[tex] \sqrt{3} \sin(a) [/tex]
If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.
What is an externality
Answers
Answer:
Externalities refer to situations when the effect of production or consumption of goods and services imposes costs or benefits on others that are not reflected in the prices charged for the goods and services being provided.
the picture below is an example of what it looks like
WHAT EXTERNALITY IS : externality is a economic cost or sometimes a benefit that is the´´by product´´ of the economic activity. the activity that is allacated outside of the system. the resources are likely to be misallocated when there is a externality.
the fact of existing outside the perceiving subject.
Please help me
10 points
Answers
Answer:
I think that the answer is 56