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3 years ago

What is the length of segment AC?

Mathematics

2 answers:

Brut [27]3 years ago

6 0

Making a triangle with line segment AC as the hypotenuse, we see the two legs are 6 and 8 units. Using the Pythagorean theorem, 6^2=36 and 8^2=64. 36+64=100. The square root of 100 is 10, so the length of AC is 10 units. Please give me brainiest. Have a great day.

aev [14]3 years ago

5 0

Answer:

10 units

Step-by-step explanation:

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A survey asked students whether they would like a drama club, a step team, both clubs, or neither club. The results are below:

Dmitry [639]

Hi, you've asked an incomplete question. Here are the remaining questions:

a) Describe what each region in the Venn diagram represents.

Region I: In drama club, not in step team.

Region II: In both clubs.

Region III: In step team not in drama.

Region IV: Not in either club.

b) How many students were in only one of the two clubs?

c) How many students were in the drama club or in the step team?

d) How many students were surveyed?

Attached is the Venn diagram depicting the regions.

Explanation:

b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.

c) By adding 34 + 27 + those that like both (14) = 75.

d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.

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3 years ago

Nyanna solved the equation

lara31 [8.8K]

Answer:

1/2

Step-by-step explanation:

Or, 8(x-3)+7= 2x(4-17)

Or, 8x-24+7=2x(-13)

Or, 8x-17= -26x

Or, 34x=17

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3 years ago

Simplify the expression(2x²y)^3

raketka [301]

Answer:

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Step-by-step explanation:

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3 years ago

Evaluate the six trigonometric functions of the angle 0.

Arturiano [62]

Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

Hypotenuse = 18

Adjacent side to θ = 10

Opposite side to θ = ?

Using Pythagoras theorem:

$\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2$

$18^2 =10^2+\text{opposite}^2$

$324=100+\text{opposite}^2$

Subtract 100 from both sides.

$224=\text{opposite}^2$

Taking square root on both sides.

$4\sqrt{14}=\text{opposite}$

Using trigonometric ratio formula:

$$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}$

$$\sin\theta =\frac{4\sqrt{14} }{18}$

$$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}$

$$\csc\theta =\frac{18}{4\sqrt{14} }$

$$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}$

$$\cos \theta=\frac{10}{18}$

$$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}$

$$\sec \theta=\frac{18 }{10}$

$$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}$

$$\tan \theta=\frac{4\sqrt{14} }{10}$

$$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}$

$$\cot \theta=\frac{10}{4\sqrt{14} }$

8 0

3 years ago

Susie is having a party with 15 guests. she wants to feed everyong sandwhiches.if susie buys 7 1/2 pounds of meat, how much meat

padilas [110]

Take 7.5 and divide by 15.
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3 years ago