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Bas_tet [7]
3 years ago
5

Two poles, A and B, are 12 meters apart. Pole A is 5 meters high. A rope 20 meters long is tied to the top of pole A and stretch

es to the top of pole B. What is the height of pole B? Assume that pole B is taller than pole A.
Hint: Use the Pythagorean theorem to find the value of x.
A.
19
B.
20
C.
21
D.
13
E.
15
Mathematics
1 answer:
stepan [7]3 years ago
5 0
The answer should be C, 21. I’ll attach a picture for explanation.
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A sales representative must visit six cities. There are direct air connections between each of the cities. Use the multiplicatio
Vedmedyk [2.9K]

Answer:

The number of different choices is 720.

Step-by-step explanation:

The sales representative must visit six cities.

The visits of cities are independent.

Number of choices for the first visit: 6 possibilities

Number of choices for the second visit: 5 possibilities (He just visited one city,  the sales representative don't have to go again)

Number of choices for the Third visit: 4 possibilities

Number of choices for the fourth visit: 3 possibilities

Number of choices for the Fifth visit: 2 possibilities

Number of choices for the Sixth visit: 1 possibilities

To count all the possibilities we have to multiple all of them:

6x5x4x3x2x1=720 different choices

3 0
3 years ago
Find the value of the variable in the figure.<br> O 1400<br> 0 41°<br> 0 71°<br> O 70°
kotykmax [81]

The answer is 71.

You add all of the numbers to get 289. Then you take 360-289 and get 71.

6 0
3 years ago
What the sheet says
dmitriy555 [2]
Jenny spent 25 minutes reading
5 0
3 years ago
In RST, RS = 7, RT = 10, and ST = 8. Which angle of RST has the smallest measure? A T BCANNT BE DETERMINDED C R D S
Scrat [10]

Answer:

Correct answer is option A. T

Step-by-step explanation:

Given that

In a \triangle RST, RS = 7, RT = 10, and ST = 8.

To find:

Smallest angle = ?

Solution:

We can use cosine rule here to find the angle.

Formula for cosine rule:

cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

Using the cosine rule:

cos T = \dfrac{ST^{2}+RT^{2}-RS^{2}}{2\times ST \times RT}\\\Rightarrow cos T = \dfrac{8^{2}+10^{2}-7^{2}}{2\times 8 \times 10}\\\Rightarrow cos T = \dfrac{64+100-49}{160}\\\Rightarrow cos T = \dfrac{115}{160}\\\Rightarrow \angle T = cos^{-1}(0.71875)\\\Rightarrow \angle T = 44.05^\circ

Now, let us use Sine rule to find other angles:

\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}

\dfrac{RS}{sinT} = \dfrac{ST}{sinR} = \dfrac{RT}{sinS}\\\Rightarrow \dfrac{7}{sin44.05} = \dfrac{8}{sinR} = \dfrac{10}{sinS}\\\Rightarrow \dfrac{7}{0.695} = \dfrac{8}{sinR} = \dfrac{10}{sinS}\\\Rightarrow sin R = \dfrac{8 \times 0.695}{7}\\\Rightarrow R = 52.58^\circ

\Rightarrow sin S = \dfrac{10 \times 0.695}{7}\\\Rightarrow S = 83.14^\circ

Smallest angle is \angle T

Correct answer is option A. T

4 0
4 years ago
Walmart sells 5-pound bags of popcorn. The Smith family plans on eating 10 oz. Of popcorn each day until they run out. After how
agasfer [191]
(8 days)because 1 pound equals 16oz
5 times 16 equal 80 oz they plan on eating 10 a day the popcorn will last (8 day)
5 0
4 years ago
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