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3 years ago

What is the length of leg s of the triangle below?

Mathematics

1 answer:

Strike441 [17]3 years ago

3 0

Answer:

Answer is E.

Step-by-step explanation:

You can quickly solve this if you know the trig ratio for the special angles. 45 degrees is one of the special angles. In this case you can use the adjacent side and hypotenuse lengths to find s, so cos is the trig ratio you want.

In general:

$cos45 = \frac{1}{\sqrt{2}}$

The ratio will be the same in this question:

$\frac{1}{\sqrt{2}}= \frac{s}{10 \sqrt{2}}\\1= \frac{s}{10}\\s=10$

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When writing a set of hypotheses for a situation, which of the following is true?

Andre45 [30]

Answer:

The Null hypothesis is a claim the researcher is trying to disprove. (I think)

Step-by-step explanation:

The null hypothesis states that there is no relationship between the two variables being studied (one variable does not affect the other). It states results are due to chance and are not significant in terms of supporting the idea being investigated.

4 0

3 years ago

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What is this? I need help because I’m very bad at linear functions as you can see

Mademuasel [1]

N has to be negative.

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3 years ago

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1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

the answer Part 1) is the option A

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

The system has no solution

therefore

the answer Part 2) is the option D

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

the answer part 3) is the option D

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

the answer part 4) is the option D

$y=412$

8 0

3 years ago

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Ari is recording the number of laps he walks around the track each day, On Day 1, he walks 8 laps. On Day 2, his number of laps

alina1380 [7]

Step-by-step explanation:

to compare day 1 with day 2 :

100% = 8

1% = 100%/100

25% = 25×1% = 100% × 25/100 = 8 × 1/4 = 2

so, on day 2 he walks 8+2 = 10 laps.

on day 3 he walks then 10-1 = 9 laps.

so, now, to calculate the % decrease compared to day 2

100% = 10

1% = 100%/100 = 0.1

how many % is represented by this 1 lap he was walking less ?

1 / 1% = 1 / 0.1 = 10%

so he had a 10% decrease from day 2 to day 3.

6 0

2 years ago

Can you help me with this question?

wariber [46]

Answer:

(49π)/8 = 6.125π square inches

Step-by-step explanation:

The area of a circle is given by the formula ...

A = πr² . . . . . where r is the radius

A "14-inch" pizza has a diameter of 14 inches, so a radius of 7 inches. Then the area of the whole pizza is ...

A = π(7 in)² = 49π in²

The area of one of 8 equal slices will be 1/8 of that, or ...

slice area = (49π in²)/8 = 6.125π in²

The area of one slice of pizza is (49/8)π = 6.125π square inches.

4 0

3 years ago