Answers
Answer/Step-by-step explanation:
Recall: if two figures are similar, we know that the ratio of their areas = the square of the ratio of their corresponding sides
Apply this knowledge to solve the problems given.
✔️Problem 1 (4-sided polygon):
Let the missing area be x cm²
Therefore,
[tex] \frac{x}{9} = \frac{8^2}{4^2} [/tex]
[tex] \frac{x}{9} = \frac{64}{16} [/tex]
[tex] \frac{x}{9} = 4 [/tex]
Multiply both sides by 9
x = 9*4
x = 36 cm²
✔️Problem 2 (3-sided polygon):
Let the missing area be y cm²
Therefore,
[tex] \frac{y}{240} = \frac{8^2}{32^2} [/tex]
[tex] \frac{y}{240} = \frac{64}{1,024} [/tex]
[tex] \frac{y}{240} = \frac{1}{16} [/tex]
Multiply both sides by 240
y = ¹/16 × 240
y = 15 cm²
✔️Problem 3 (5-sided polygon):
Let the missing area be z cm²
Therefore,
[tex] \frac{z}{40} = \frac{3^2}{2^2} [/tex]
[tex] \frac{z}{40} = \frac{9}{4} [/tex]
Multiply both sides by 40
[tex] z = \frac{9}{4} * 40 [/tex]
[tex] z = \frac{9}{1} * 10 [/tex]
z = 90 cm²
Related Questions
Write the point-slope form of an equation of the line through the points (-4, 7) and (5, -3).
A. y−5=−109(x+3)
B. y−7=−109(x+4)
C. y+3=−109(x+5)
D. y+4=−109(x−7)
Answers
Answer:
y+4=–109(x-7)
please mark as brainliest
Item 7
The ratio of the weight of an object on Jupiter to its weight on Earth is 8:5, meaning that an object that weighs 8 pounds on Jupiter weighs only 5 pounds on Earth. In the first box provided, write an equation that represents the relationship between the weight on Jupiter j and the weight on Earth e and on the second line, write its reciprocal.
Answers
Answer:8,5 recirpoal is 5,8
Step-by-step explanation:
I need to find the measure of PTR
Answers
Answer:
∠ DTR = 109°
Step-by-step explanation:
∠ DQT and ∠ TRS are alternate angles and are congruent, then
∠ TRS = 68°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ DTR is an exterior angle of Δ TRS , then
∠ DTR = 41° + 68° = 109°
what is $7.50 with a added 6% sales price.
Answers
Answer:
0.0125 dollars per sales
hope this helps
Step-by-step explanation:
Answer:
7.89 i believe i looked it up
You should try to limit your overall debt to 50% of your gross monthly
Answers
Incomplete question.
12- (-5) + (-4 ) calculate
Answers
find the slope of a line parallel to the line through thepoints ) (10, 7) and (-4, 7)
Answers
Answer:
0
Step-by-step explanation:
7-7 over -4-10
That is 0/-14, which simplifies to 0
John has a rectangular field that is 12 meters by 6 meters, if he wants to divide the field into 8 sections, what would the area per section be?
Answers
Answer:
9 Meters Squared
Step-by-step explanation:
First multiply 6 by 12 to find the area of the whole field:
[tex]6*12=72[/tex]
Then divide that area by 8:
72/8=9
So:
9 meters squared
P+45267=87012 evaluate
Answers
p+45267=87012
We move all terms to the left:
p+45267-(87012)=0
We add all the numbers together, and all the variables
p-41745=0
We move all terms containing p to the left, all other terms to the right
p=41745
Which equation is equivalent to 1/5x - 3 = 2/3
A : x-15=10
B : 3x-15=10
C : 3x-45=10
D : 5x-45=3
Answers
Is -8 a rational number
Answers
Answer:
yes
Step-by-step explanation:
Answer:
yea
Step-by-step explanation:
because it is
Find g(x), where g(x) is the translation 6 units up of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answers
Answer:
g(x) = x²+6
Step-by-step explanation:
g(x) = f(x)+6 = x²+6
Helpppppppp.................
Answers
n
Write the equation of the line
that passes through (5,-6)
and has a y-intercept of -2.
Hint: What ordered pair is
used for the y-intercept?
I
Answers
Sorry if I’m wrong
If (x + 1)(x - 5) = -9, then which of the following statements is true?
A x+1=0 or x-5=0
B x+1=9 or x-5=-9
C x-2=0
Answers
Answer:
B, although i believe that you wrote wrong, it should be x+1= -9, instead of positive 9
Step-by-step explanation:
Chris need to buy 4 shirts, all costing the same amount. he uses a $25 gift card.he can spend no more than $75. write an inequality to find the possible cost for a shirt
Answers
Answer:
it would be 3
Step-by-step explanation:
Answer:
21.25 for one shirt so it 75 in all if you add all the shirts
who ever helps gets brainliest.
Answers
Answer:
B is the answer
Step-by-step explanation:
0.40 is the correct answer
What is the value of 25 × 33?
please please help
Answers
Answer:
825
Step-by-step explanation:
So When we multiply we multiply the 3 by 5 first, then the 3 by 2. That will give you 75. Then, Add a zero below 75. Multiply the other 3 by 5, and the 3 by the two. That will give you 750. Add 75 and 750 together and you get: 825
I need help bad!!! Please help!
Answers
Answer:
Both Question (bottom right corner)
Step-by-step explanation:
Question 2 is obviously a variable because the amount of goals you can score in a game varies, one game it could be 10 then next it could be 5, But for question 1 the amount of work hours she puts in, (assuming she choses when to work and when not to) is also a variable because the amount she works varies from day to day.
Both these examples how data that varies from day to day.
Hope this helps!
7.43+9.25 Show Your Work
Answers
Answer:
16.68
Step-by-step explanation:
just add them like regular numbers then just put the decimal
At Manning's favorite ice cream shop, a customer can have a cake or sugar cone, vanilla, chocolate, or strawberry ice cream, and chocolate or rainbow sprinkles. How many different ice cream cones can be ordered if the customer chooses 1 cone, 1 type of ice cream, and 1 type of sprinkles?
Answers
Answer:
12
Step-by-step explanation:
2-cones
3-ice cream flavors
2-sprinkles
2 x 3 x 2 = 12
plz mark brainliest :)
Determine 0.929229222922229222229
Answers
Answer:
0.93
Step-by-step explanation:
Solve the expression (w - z)²
Answers
Prove: The square of a number that is
one more than a multiple of 3 is also one
more than a multiple of 3.
n +
(3n + 1)2 = [ ? ]n? +
1([ ]n2 +
=
)n) +
- 1 more than a multiple of 3
Answers
Let 3n + 1 denote the "number" in question. The claim is that
(3n + 1)² = 3m + 1
for some integer m.
Now,
(3n + 1)² = (3n)² + 2 (3n) + 1²
… = 9n² + 6n + 1
… = 3n (3n + 2) + 1
… = 3m + 1
where we take m = n (3n + 2).
I'm supposed to solve for PQ. it's pythagorean theorem.
Answers
Answer:
29 i think
Step-by-step explanation:
pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29
5. Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into
3 jump ropes. Each of the 3 jump ropes will be the same length. Write a
division sentence using compatible numbers to estimate the length of
each rope
Answers
Answer:
29.8÷3=9.93333333333
Step-by-step explanation:
*note* the 3 is a repeating number
Coach Brown buys packs of Gummi Bears at $0.60 and resales them at $1.00. At what percent did he mark the candy up?
A. 3.59
B. 9
C. 67
D. 69
F. 10.25
Answers
A drinks bottling production line has a relative frequency failure rate of 0.0045 If 2,000,000 bottles of pop are produced per day, how many of them will be faulty?
Answers
Answer:
9,000
Step-by-step explanation:
2,000,000 times 0.0045 = 9,000
The counting numbers are also called Integers
Answers
Answer: Yes
Step-by-step explanation:
What is your question
Answer:
yes
Step-by-step explanation:
If the angle tis 42 and RS is 9 find QS. Round to the nearest tenth.
Q
R
Answers
Answer:
QS is 12.1
Step-by-step explanation:
9 / sin 48 = QS / sin 90
QS = 9 / sin 48 = 12.1