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2 years ago

Suppose you have a right triangle with side lengths 26, 24, and 10. Which lengths

Mathematics

1 answer:

solong [7]2 years ago

3 0

Answer:

hypotenuse —>26

Legs —> 10 and 24

Step-by-step explanation:

Generally ,the hypotenuse is the longest side .

So in our triangle the hypotenuse is of length 26.

Consequently, the legs are of lengths 24 and 10.

Also ,we can verify that this is right triangle using the Pythagorean theorem:

26^2 = 676

24^2+10^2 = 676

Then

26² = 24²+10².

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a machine made 2 2/6 pencils in 3 3/4 minutes. how many pencils would the machine have made after/minute

erma4kov [3.2K]

Question:

A machine made 2 2/6 pencils in 3 3/4 minutes. How many pencils would the machine have made after 9 minutes?

Answer:

$\frac{504}{90}\ or\ 5.6$ pencils is made after 9 minutes

Solution:

Given that,

A machine made 2 2/6 pencils in 3 3/4 minutes

Which means,

$2\frac{2}{6} = \frac{14}{6}$

$3\frac{3}{4} = \frac{15}{4}$

Let "x" be the number of pencils made in 9 minutes

Therefore,

$\frac{14}{6}\ pencils = \frac{15}{4}\ minutes\\\\x\ pencil = 9\ minutes$

This forms a proportion and we can solve by cross multiplying

$\frac{14}{6} \times 9 = \frac{15}{4} \times x\\\\x = \frac{14}{6} \times 9 \times \frac{4}{15}\\\\x = \frac{504}{90}\\\\x = 5.6$

Thus, $\frac{504}{90}\ or\ 5.6$ pencils is made after 9 minutes

7 0

3 years ago

Find the value of x. Round your answer to the nearest tenth.

andreyandreev [35.5K]

Answer:

is the correct answer

7 0

3 years ago

Read 2 more answers

Please can someone help

san4es73 [151]

Answer:

x=6

Step-by-step explanation:

2x - 5 = 7

Add 5 to each side

2x-5+5 = 7+5

2x= 12

Divide by 2

2x/2 = 12/2

x = 6

7 0

4 years ago

Read 2 more answers

A swimming pool is being drained so it can be cleaned. The amount of water in the pool is changing according to the función f(t)

TiliK225 [7]

Answer:

0 ≤ t ≤ 5.

Step-by-step explanation:

In the function $f(t)$ , $t$ is the independent variable. The domain of $f$ is the set of all values of $t$ that this function can accept.

In this case, $f(t)$ is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,

$t \ge 0$ .
$f(t) \ge 0$ .

The first condition is an inequality about $t$ , which is indeed the independent variable.

However, the second condition is about $f$ , the dependent variable of this function. It has to be rewritten as a condition about $t$ .

$\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}$ .

Hence, t ≤ 5.

Combine the two inequalities to obtain the domain:

0 ≤ t ≤ 5.

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3 years ago

Emy has 13 1/4 kilograms of sweet potatoes.She gave away 5 12 kilogramsof corn to her neighbors.how many kilograms of corn than

Ahat [919]

Answer:

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Step-by-step explanation:

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1 year ago