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2 years ago

Given the following information, calculate the

Mathematics

1 answer:

Anna11 [10]2 years ago

6 0

Answer:

150

Step-by-step explanation:

The ratio of ZY to SW is 16:24, meaning it is 2:3, so all of the sides of RST are 1.5 times as long as RZX.

RZ = 28, so RS = 42

RX = 40, so RT = 60

ZX= ZY + XY and since they are the same length, ZX = 32, making ST = 48

The perimeter is 42 + 60 + 48 = 150

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Tatiana [17]

Answer: 103/15

Step-by-step explanation:

We can simplify the right-hand side to be $2 \left(\frac{1}{3}+6 \right)=2 \left(\frac{19}{3} \right)=\frac{38}{3}$ .

This means we need to solve:

$\frac{1}{2}(5x-9)=\frac{38}{3}\\5x-9=\frac{76}{3}\\5x=\frac{103}{3}\\x=\boxed{\frac{103}{15}}$

7 0

2 years ago

Two consecutive integers have a sum of 59. Find the integers

Ierofanga [76]

The integers are 29 and 30.

5 0

3 years ago

Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!

galben [10]

Answer:

$x = 3\sqrt{2}$

$y = 6\sqrt{2}$

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is:

$1 : \sqrt{3} : 2$

The order of the sides in the ratio above is

short leg : long leg : hypotenuse

The long leg is sqrt(3) times the length of the short leg.

$x \times \sqrt{3} = 3\sqrt{6}$

$x = \dfrac{3\sqrt{6}}{\sqrt{3}}$

$x = 3 \times \sqrt{\dfrac{6}{3}}$

$x = 3\sqrt{2}$

The hypotenuse is twice the length of the short leg.

$y = 2 \times 3\sqrt{2}$

$y = 6\sqrt{2}$

6 0

3 years ago

Read 2 more answers

How many seconds are in two weeks?

podryga [215]

Answer:

This conversion of 2 weeks to seconds has been calculated by multiplying 2 weeks by 604,800 and the result is 1,209,600 seconds.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Un frasco de perfume tiene la capacidad de 1/20 de litro. ¿Cuántos frascos de perfume se pueden llenar con el contenido de una b

Iteru [2.4K]

15 frascos de perfume porque 3 / 4 = 15 / 20

4 0

3 years ago