1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
velikii [3]
3 years ago
6

-25 Points-

Mathematics
1 answer:
Furkat [3]3 years ago
6 0

\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\\\ \begin{array}{ccccllll} &\stackrel{\stackrel{ratio}{of~the}}{Sides}&\stackrel{\stackrel{ratio}{of~the}}{Areas}&\stackrel{\stackrel{ratio}{of~the}}{Volumes}\\ \cline{2-4}&\\ \cfrac{\stackrel{similar}{shape}}{\stackrel{similar}{shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}~\hspace{6em} \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{s}{s}=\cfrac{\sqrt{64}}{\sqrt{81}}\implies \cfrac{s}{s}=\cfrac{8}{9}\qquad \leftarrow \textit{ratio of the sides or scale factor}

You might be interested in
Can 30 ounces and 3 pints be expressed as a ratio in simplest form
Bas_tet [7]
30 divided by 3 = 10
3 divided by 3 = 1
10:1
7 0
3 years ago
Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.)
solniwko [45]

Answer:

y = - 0.9167 - 0.75x

Step-by-step explanation:

Given the data:

(−1, 0), (1, −2), (3, −3)

X : - 1, 1, 3

Y : 0, - 2, - 3

The regression model is written in the form:

y = C + mx

Where ;

C = intercept ; m = slope / gradient

Using the regression model calculator on the data values given above :

Slope (m) = - 0.75

Intercept (c) = - 0.9167

Hence,

y = - 0.9167 - 0.75x

c

6 0
3 years ago
The principal at valley elementary school had 840 stickers that he gave to 42 children. 2/3 of the children were boys and each o
STatiana [176]

Answer: each girl received 30 stickers.

Step-by-step explanation:

Let x represent the number of stickers that the boys received.

Let y represent the number of stickers that the girls received.

The total number of children was 42. 2/3 of the children were boys. It means that the number of boys were

2/3 × 42 = 28

The number if girls would be

42 - 28 = 14

The total number of stickers that the school principal shared was 840. It means that

28x + 14y = 840- - - - - - - - -1

Each of the boys received the same number of stickers while each girl received twice as many as each boy. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

28x + 14 × 2x = 840

28x + 28x = 840

56x = 840

x = 840/56

x = 15

y = 2x = 15 × 2

y = 30

4 0
3 years ago
PLEASE HELP!!!!!!!!!!There are 12 boys and 8 girls in a class.
netineya [11]

Answer:

12:10 or 6:5

Step-by-step explanation:

If 2 more girls join, the ratio will be 12:10 or 6:5.

8 0
3 years ago
Divide.<br><br> 11.02 ÷ 3.8<br><br> Enter your answer, as a decimal, in the box.
AnnyKZ [126]

Answer:

2.9

Step-by-step explanation:

11.02÷3.8= 2.9

4 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP<br> Type in expanded form. Use parentheses to indicate multiplication.<br><br> (2r)³
    9·2 answers
  • What is the absolute value equation that has the solution x= -10 and x= -5
    11·1 answer
  • How √225 and √223 are different by their nature ??
    11·1 answer
  • There is a mountain with 45 bat caves in a row. Every cave has at least 2 bats and there are 490 bats in all. Any 7 caves in a r
    11·1 answer
  • Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels. How many cups of
    15·1 answer
  • Use the graphing method to solve the system of linear equations:
    11·1 answer
  • Can someone help me out?
    9·2 answers
  • What is the answer for this question <br>j-12=4<br>​
    9·1 answer
  • Acellus
    6·1 answer
  • A. Transform F using the rule (x, y) → (-x, y) (1 pt.)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!