a student has a savings account with $475 in it. she deposits $125 of her paycheck into the account every week.

Martine’s town is building a volleyball court based on a scale drawing that is 40cm to 80cm and uses the scale 1cm:22.5cm write

never [62]

Answer:

$y=22.5x$

Step-by-step explanation:

we have that

The scale drawing is

$\frac{1}{22.5}\frac{cm}{cm}$

we know that

Using proportion find out the actual dimensions of the volleyball court

Let

x -----> drawing court lengths in cm

y ----> court lengths in cm

For x=40 cm

$\frac{1}{22.5}\frac{cm}{cm}=\frac{40}{y}\frac{cm}{cm}\\\\y=40*22.5\\\\y=900\ cm$

For x=80 cm

$\frac{1}{22.5}\frac{cm}{cm}=\frac{80}{y}\frac{cm}{cm}\\\\y=80*22.5\\\\y=1,800\ cm$

Find the equation for the proportional relation ship between drawing court lengths x in centimeters and court lengths in y centimeters

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

For x=40 cm, y=900

substitute

$k=y/x$ -----> $k=900/40=22.5$

The equation is

$y=22.5x$

5 0

3 years ago

The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the trian

natita [175]

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opp}{hyp}$ = $\frac{opp}{19}$ = $\frac{1}{2}$ ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

6 0

3 years ago

If A = {2, 3, 4, 5} and B = {5, 6, 7, 8}, what is A U B? {2, 3, 4, 5, 6, 7, 8) {5}

Ulleksa [173]

Hey!!!!

Here's your answer:

Solution:

A={2,3,4,5}

B={5,6,7,8}

 A U B={2,3,4,5} U {5,6,7,8}

 ={2,3,4,5,6,7,8}

In case of Union,we have to list all the elements which are present in both sets.

Hope it helps...

Good luck on your assignment

4 0

3 years ago

Ella's grandmother sewed her a change purse. When she gifted it to her, Ella counted 23 coins already in it. Ella noticed there

juin [17]

The answer to this problem is 17dimes

5 0

3 years ago

Read 2 more answers

Find the profit or loss if:

photoshop1234 [79]

Answer:

It would be a profit of .35 cents

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers