What is the measure of the angle indicated?

How long is a guy wire reaching from the top of a 6ft. Pole to a point on the ground 4ft. From the pole

dlinn [17]

Answer:

the guy wire is 7.211 ft long

Step-by-step explanation:

Notice that we are in the presence of a right angle triangle formed by: the height (the standing 6 ft pole), the base (the distance from the pole to the anchoring point on the ground), and the actual guy wire. See attached image for reference.

Notice that since pole and ground are perpendicular to each other (at 90 degrees) , the guy wire forms what is called the "hypotenuse" (longest side) of the right angle triangle. We can therefore use the Pythagorean Theorem to solve this problem with the formula for the hypotenuse:

$Hypotenuse=\sqrt{side1^2 +side2^2} \\Hypotenuse= \sqrt{6^2+4^2}\\Hypotenuse=\sqrt{36+16} \\Hypotenuse=\sqrt{52} \\Hypotenuse=7.2111\, ft$

4 0

2 years ago

1,900 + 76x. Use the Distributive Property to factor the expression.

timofeeve [1]

Answer:
The length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet.
Step-by-step explanation:
The total area, in square feet, of a rectangular stage that has been widened by x feet, is represented by 1,900 + 76x.
Now, factorizing the expression for the area we get,
A = 1900 + 76x
⇒ A = 76(25 + x)
Therefore, from the above expression, we can assume that the length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet. (Answer)

8 0

2 years ago

Use the recursive function for the geometric sequence 2,-6,18 and -54 to represent the 9th term

geniusboy [140]

Answer:

A

Step-by-step explanation:

A recursive formula allows the term in a sequence to be obtained from the previous term.

To find any term in the sequence multiply the previous term by the common ratio r

r = - 6 ÷ 2 = 18 ÷ - 6 = - 3

Thus the 9 th term can be found using

f(9) = f(8) × - 3 = - 3f(8) → A

5 0

3 years ago

Read 2 more answers

What is the gcf of 2,4a

-BARSIC- [3]

4.

2,4

4

Hope this helps!

3 0

3 years ago

I’m stumped, can anyone please help me understand this

rodikova [14]

Answer:

B. Store T sells apples at the lowest rate

Step-by-step explanation:

Store R sells apples at $1.20 per pound.

Store S sells 4 pounds of apples at $5.00.

Store T sells 3 pounds of apples at $3.48.

To find the answer, you have to find the unit price for both Store S and Store T.

For Store S: 4 pounds = $5. Divide the cost by the pounds. This will give us $1.25 per pound.

For Store T: 3 pounds = $3.48. Same thing as Store S, divide the cost by the number of pounds. This will give us 1.16 per pound.

Now, we know the unit prices for each store. It's time to answer the question.

A. Store R sells apples at the lowest rate.

This is incorrect because the store that sells the apples at the lowest rate is Store T.

B. Store T sells the apples at the lowest rate.

This answer is correct, but I'll also take a look at the other two

C. Store S charges a lower rate for apples than Store T.

Again, this is incorrect because Store T sells apples at the lowest rate.

D. Store T charges the same rate for apples as Store R.

Nope, Store T sells the apples at a lower rate than Store R.

This means your answer will be B. Store T sells apples at the lowest rate.

<h2>I hope this helped you understand the question!</h2>

6 0

3 years ago

What is the measure of the angle indicated?​

What is the measure of the angle indicated?