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11 months ago

What is x and y? i’m having trouble finding what x and y are

Mathematics

1 answer:

Ilya [14]11 months ago

6 0

Answer:

y is 7, x is 14

Step-by-step explanation:

This is a 30-60-90 triangle,

The hypotenuse, the side opposite of the 90 degree angle, is twice the length of the side opposite of the 30° angle,

The side opposite of the 60° degree angle, is root 3 times the side opposite of the 30° degree angle

So y is

$\frac{7 \sqrt{3} }{ \sqrt{3} } = 7 = y$

Then, that means x is

$7 \times 2 = 14$

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Using cubes and flats with the number 1,200

vfiekz [6]

A cube represents 1,000 and a flat 100. You can solve this problem by saying the number out loud. "One thousand, two hundred." That means that you need one thousand (cube) and two hundreds (flat). So one cube and two flats will be 1,000+100+100, which equals 1,200.

6 0

2 years ago

birute deposite $500 In a savings account with a simple interest rate of 1.3% . how could you use this information to find the i

vladimir2022 [97]

Money Birute deposited in a savings account = $500

Rate of simple interest per annum = 1.3%

▪︎We need to find the interest she will earn in 4 years.

We know that :

$\tt \: \color{hotpink}simple \: interest \color{plum}= \frac{principal \times rate \times time}{100}$

In this case :

Principal = $500

Rate = 1.3%

Time = 4 years

Which means :

The simple interest she will earn in 4 years :

$= \tt \frac{500 \times 1.3 \times 4}{100}$

$= \tt \frac{2600}{100}$

$\color{plum} = \tt\bold{\$26}$

Thus, the simple interest she will earn in 4 years = $26

Amount = Principal + Interest

Amount she will gain after 4 years :

$=\tt 500 + 26$

$\color{plum} = \tt\bold{\$526}$

Thus, the amount she will gain after 4 years = $526

Amount change in her account = 526 - 500 = 26

We know that :

$\tt \: \color{hotpink}percentage \: of \: change\color{plum} = \frac{change}{original \: price} \times 100$

Which means :

Percentage of change in her savings account :

$=\tt \frac{26}{500} \times 100$

$=\tt \frac{26 \times 100}{500}$

$= \tt\frac{2600}{500}$

$\color{plum} = \bold{\tt\bold{5.2\%}}$

<h2>○=> Therefore :</h2>

▪︎Simple interest after 4 years = $26

▪︎Money she will earn after 4 years = $526

▪︎Percentage of change in her savings account = 5.2%

6 0

2 years ago

I NEED HELP PLEASEE

xenn [34]

$\bf \cfrac{1+cot^2(\theta )}{1+csc(\theta )}=\cfrac{1}{sin(\theta )} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1+cot^2(\theta )}{1+csc(\theta )}\implies \cfrac{1+\frac{cos^2(\theta )}{sin^2(\theta )}}{1+\frac{1}{sin(\theta )}}\implies \cfrac{~~\frac{sin^2(\theta )+cos^2(\theta )}{sin^2(\theta )}~~}{\frac{sin(\theta )+1}{sin(\theta )}}\implies \cfrac{~~\frac{1}{sin^2(\theta )}~~}{\frac{sin(\theta )+1}{sin(\theta )}}$

$\bf \cfrac{1}{\underset{sin(\theta )}{~~\begin{matrix} sin^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }}\cdot \cfrac{~~\begin{matrix} sin(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{sin(\theta )+1}\implies \cfrac{1}{sin^2(\theta )+sin(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{1+cot^2(\theta )}{1+csc(\theta )}\ne \cfrac{1}{sin(\theta )}~\hfill$