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3 years ago

Determine the length of the legs in the right triangle below.

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

Answer:

x = 14

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (14 $\sqrt{2}$ )²

2x² = 392 ( divide both sides by 2 )

x² = 196 ( take the square root of both sides )

x = $\sqrt{196}$ = 14

Thus the congruent legs are 14 cm

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Write an equation in the slope-intercept form for the line with slope - 3/2 and y-intercept 6

Musya8 [376]

Answer:

$y = -\frac{3}{2} +6$

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope: $-\frac{3}{2}$

Y-Intercept: $6$

$y = -\frac{3}{2} +6$

4 0

3 years ago

Paul's mp3 player has a total of 852 songs. He has 4 different groups of songs. If he puts an equal number of songs in each grou

Igoryamba

Answer:

There will be 213 songs in each group.

Step-by-step explanation:

Suppose, the number of songs in each group is $x$

As he has 4 different groups of songs, so the total number of songs in all 4 groups will be: $(4*x)= 4x$

Given that, the mp3 player has a total of 852 songs. So, the equation will be........

$4x=852\\ \\ x=\frac{852}{4}=213$

So, there will be 213 songs in each group.

5 0

4 years ago

Read 2 more answers

Which angle is an x-intercept for the function y = cos(1) A.0 B.2 C. £ D. 2£

noname [10]

Answer: C. $\pi$

=======================================================

Explanation:

The x intercept always occurs when y = 0.

Use the unit circle to determine that $\cos(\theta) = 0$ when $\theta = \frac{\pi}{2} \text{ and } \theta = \frac{3\pi}{2}$

So if $x = \pi$ , then we have

$y = \cos\left(\frac{1}{2}x\right)\\\\y = \cos\left(\frac{x}{2}\right)\\\\y = \cos\left(\frac{\pi}{2}\right)\\\\y = 0\\\\$

which shows us that $(\pi, 0)$ is the location of one of the infinitely many x intercepts for this function.

3 0

3 years ago

Can someone help me answer these two questions

andrew11 [14]

Answer:

C) 7=y=5x+11

B) m=-4/5, b=13/5

Step-by-step explanation:

Problem 1:

A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.

Problem 2:

Convert to slope-intercept form (y=mx+b):

4x+5y=13

5y=13-4x

y=13/5-4/5x

y=-4/5x+13/5

Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.

8 0

3 years ago

Mr. Jenkins’s math students design game board . The game board has 16 equal rows of 26 squares. What is the total numbers of squ

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Answer:

Step-by-step explanation:

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3 years ago