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3 years ago

Use Pythagorean theorem to find right triangle side lengths 8 and 10

Mathematics

1 answer:

sp2606 [1]3 years ago

4 0

Answer:

Step-by-step explanation:

$a^{2}+b^{2} =c^{2} \\\\8^{2}+b^{2} =10^{2} \\64+b^{2}=100\\b^{2}=36\\\sqrt{36} =6\\b=6$

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Suppose a college student pays $750 for tuition fees. However, she also has to pay $300 for her textbooks (ouch!). What percent

Shalnov [3]

Answer:

Total costs = $700 + $300 = $1000.

$300 / $1000 = 0.3 = 3%

Step-by-step explanation:

3 0

3 years ago

Solve the system of equations.

Semenov [28]

I hope this helps you

4 0

3 years ago

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.

Monica [59]

Equation to find number: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

Number's value: n = $-\frac{19}{3}$

Step-by-step explanation:

Let n be the unknown number.

The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be $\frac{1}{n}$ .

The difference of three and the reciprocal of a number ( $\frac{1}{n}$ ) would be $\frac{1}{n}$ - 3.

The quotient of 20 and the number (n) would be $\frac{20}{n}$ .

So, with this information we've gathered so far, we can come up with an equation to find what the number equals.

Equation: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

To find what the number equals we must solve the equation.

3 0

3 years ago

Las edades de dos hermanos tienen una razón de 2 a 1. Cuando transcurran 4 años, la razón entre sus edades será de 8 a 6. ¿Cuánt

Nataly [62]

Answer:

The age of brothers are 4 years and 2 years respectively.

Step-by-step explanation:

We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.

Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.

So, according to the question;

The first condition states that the ages of two brothers have a ratio of 2 to 1, that means;

$\frac{x}{y} =\frac{2}{1}$

$x=2y$ -------------- [equation 1]

The second condition states that when 4 years have passed, the ratio of their ages will be 8 to 6, that means;

$\frac{x+4}{y+4}=\frac{8}{6}$

$6({x+4})=8}(y+4)$

$6x+24=8y+32$

$6(2y)+24=8y+32$

$12y-8y=32-24$

$4y=8$

$y=\frac{8}{4}$ = 2 years

Putting the value of y in equation 1 we get;

x = 2y

x = $2 \times 2$ = 4 years

Hence, the age of brothers are 4 years and 2 years respectively.

3 0

3 years ago

In a game of pool, a 0.4 kg cue ball is traveling at 0.80 m/s when it hits a slower striped ball moving at 0.38 m/s. after the c

LiRa [457]

The magnitude of the final velocity of the cue ball is (B) 0.56m/s.

<h3>What is Velocity</h3>

The definition of velocity is a vector measurement of the rate and direction of motion.
It is a moving body's speed and direction of motion.

How to calculate the magnitude of the final velocity?

The magnitude of the final velocity can be calculated by following the steps:

The mass of the cue ball given is 0.4kg.
The velocity of the cue ball given is +0.80m/s.
The velocity of the striped ball before the collision is +0.38 m/s.
The velocity of the striped ball after collision is +0.62m/s.
We need to find the magnitude of the final velocity of the cue ball.

Assuming all pool balls have the same mass: 0.4kg

Let the final velocity of the cue ball be x.

Now, To find the final velocity:

Mass of the cue ball × initial velocity of cue ball + Mass of striped ball + initial velocity of striped ball = mass of cue ball × final velocity + mass of striped ball × final velocity of the striped ball

(0.40)×(0.80)+(0.4)(0.38) = (0.4)(x)+(0.4)(0.62)
0.32+0.152=0.4x+0.248
0.472=0.4x+0.248
0.472-0.248= 0.4x
0.224/0.4 =x
x = 0.56m/s

Therefore, the magnitude of the final velocity of the cue ball is (B) 0.56m/s.

Know more about velocity here:

brainly.com/question/25749514

#SPJ4

The correct question is given below:

In a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. After the collision, the striped ball moves off at +0.62 m/s. What is the magnitude of the final velocity of the cue ball? Assume all pool balls have the same mass.

A. 0.20 m/s

B. 0.56 m/s

C. 1.0 m/s

D. 1.8 m/s

3 0

10 months ago