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2 years ago

What is the value of x?

Mathematics

1 answer:

Agata [3.3K]2 years ago

3 0

Answer:

x=68

Step-by-step explanation:

We begin by setting up as a proportion. 99.2 and 112 ft are across from each other so we can put those as our numerators. Additionally 62 and (x+2) ft are across from each other so we can put those as denominators. Now we can set up our proportion and begin to cross multiply:

99.2/62 = 112/(x+2) is our equation. It might help you see it clearly to write it out as fractions. From here, we cross multiply.

When we do that, we get x=68

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AleksAgata [21]

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

$\bf \cfrac{\textit{sphere A}}{\textit{sphere B}}\qquad \stackrel{\stackrel{sides'}{ratio}}{\cfrac{1}{4}}\qquad \qquad \stackrel{\stackrel{sides'}{ratio}}{\cfrac{1}{4}}=\stackrel{\stackrel{volumes'}{ratio}}{\cfrac{\sqrt[3]{288}}{\sqrt[3]{v}}}\implies \cfrac{1}{4}=\sqrt[3]{\cfrac{288}{v}}\implies \left( \cfrac{1}{4} \right)^3=\cfrac{288}{v} \\\\\\ \cfrac{1^3}{4^3}=\cfrac{288}{v}\implies \cfrac{1}{64}=\cfrac{288}{v}\implies v=18432$

3 0

3 years ago

Simplify:- ~~~~~~~

Alchen [17]

$\sf \dashrightarrow \: - \frac{2}{5} - ( - \frac{3}{10} ) - ( - \frac{4}{7} )$

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +

$\sf \dashrightarrow \: - \frac{2}{5} + \frac{3}{10} + \frac{4}{7}$

Calculate the LCM of denominators

$\sf\frac{ - 28 + 21 + 40}{70}$

Calculate the difference

$\bf \underline{ \underline \frac{33}{70} }$

7 0

2 years ago

Read 2 more answers

A hotel has 30 floors with 40 rooms per floor. The rooms on one side of the hotel face the water, while rooms on the other side

Ket [755]

A) Choosing a stratified random sample might be preferable to an SRS because;

Stratified random sampling would divide the population into stratas but the

SRS would not do so. The strata would be the type of room namely those

with water view and those with golf view.

B) The reason why a cluster sample would be a simpler option is because;

It will divide the population into multiple clusters that makes it easier to

work with unlike the SRS that generalizes. The clusters would be each of

the 30 floors.

We are told that the manager wanted to select 120 rooms and carry out a survey on each registered guest by asking how satisfied they were with the hotel. He decided to use a sampling method called SRS which means Simple Random Sampling.

Simple random sampling is defined as a sampling method where individuals or objects are selected randomly from a population thereby given each person or object an equal chance of selection.

A) Stratified Random sampling is a method of sampling that divides the population into smaller groups known as objects/stata. In this case Stratified random sampling would be preferred to SRS because the hotel rooms are divided into two types namely those that can view the water and those that can view the golf course and as such the Stratified random sampling would divide the population but the SRS would not do so.

B) Cluster sampling is when the population is divided into multiple groups known for assessment. The reason why it would be a simpler option is because there are 30 floors and they can be classified as clusters and surveyed per floor.

Read more at; brainly.com/question/15932504

7 0

2 years ago

Please help! ! ! ! !

Vladimir [108]

B is the answer how you do good

3 0

3 years ago

A rectangle is 3 feet long by 4 feet wide

egoroff_w [7]

Answer:

20ft^2