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labwork [276]
3 years ago
11

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in

the diagram.
Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

Mathematics
2 answers:
nikklg [1K]3 years ago
7 0

Use the Pythagorean theorem:

Let the distance = X:

X = √(26^2 + 19.5^2)

X = √(676 + 380.25)

X = √1056.25

X = 32.5

The distance is 32.5 ft.

Lyrx [107]3 years ago
5 0

Answer:

x= 32.5 ft

Step-by-step explanation:

if you do a2+b2=c2 you would get

19.5^2+26^2=32.5^2

is true

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The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

7775 = 6ⁿ – 1

Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

8 0
3 years ago
Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.
Kazeer [188]

Answer:

π×10^2=314.15

Step-by-step explanation:

hope it helps

7 0
3 years ago
F(x) = 8x - 10
otez555 [7]
Fx=8(20) -10
fx= 160-10
answer= 150
3 0
3 years ago
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Smith went to the supermarket and bought 4 pounds of raspberries at half their original price, and 8 pounds of watermelon. The p
olga_2 [115]
He spent $2.35 at the store. Hope it helps! :D
6 0
3 years ago
If m A= m B and m A+mC = D, then
rusak2 [61]

Answer: Substitution

Step-by-step explanation:

Because you know A is equal to B, you can substitute A for B in any mathematical equation. Essentially, you are switching mA $ mB.

3 0
3 years ago
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