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Dafna1 [17]
3 years ago
11

What is the measure of angle A to the nearest degree?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0
There are several ways to find the angle at A.

One is to realize the bisector of angle A will make a right angle with BC, creating two congruent triangles with short leg 2 and hypotenuse 7. Then the sine of the half-angle at A will be 2/7, so
  A = 2*arcsin(2/7)
  A ≈ 2*16.6015° = 33.203°

The measure of the angle at A to the nearest degree is
  33°

_____
Another way to find the angle is to use the Law of Cosines. After solving for the angle (A) in terms of sides a, b, c, you find
  A = arccos((b²+c²-a²)/(2bc)) = arccos(7²+7²-4²)/(2*7*7))
  A = arccos(82/98) ≈ 33°

And you can always use a triangle solver application.

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An average soccer player travels 7 miles during a game. A typical field is 104 meters long. How many times did the average socce
marissa [1.9K]

Answer:

About 108 times

Step-by-step explanation:

Given:

An average soccer player travels 7 miles during a game

A typical field is 104 meters long.

To find:

How many times did the average soccer play travel the length of the field?

Solution:

An average soccer player travels during the game =  7 miles

First convert 7 miles into meters,  1 mile = 1609.34 meter

                                                        7 mile = 1609.34 \times 7 = 11265.41 m

Length of field = 104 meters

To find number of times average soccer player travel the length of the field, we will divide an average soccer player travels during the game by Length of field

11265.41 m \div 104  = 108.32

Therefore, about 108 times average soccer player travel the length of the field

8 0
3 years ago
Brandi wants to participate in an after-school program. She has to choose between one art class, three dance classes, two gymnas
jekas [21]

Answer:

d

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
I am a product one of my factors is 9 the sum of my two factors is 13 what number am i
lesya692 [45]
If 1 of ur factors is 9...and the sum of ur factors is 13....then ur other factor is (13 - 9) = 4

so u have 2 factors, 9 and 4, and u r the product, then u r (9 * 4) = 36 <==
3 0
3 years ago
Suppose you inherited a house that was purchased in 1950 for 20,000. It is now 2015 and the value of the house has increased by
Masja [62]

Answer:

I think the house would now costs $85,000

Step-by-step explanation:

First, I multiplied by how many years between 1950 to 2015 and 5 to get 325.

Next, I divided 20,000 by 100 to get 200 to find 1% of 20,000.

Then, I multiplied 325 by 200 to get 65,000

Finally, I added 20,000 to 65,000 to get 85,000

So, I guess/answer is $85,000

If I was wrong, then just say, "Sorry, but that was incorrect."

5 0
3 years ago
Read 2 more answers
Describe the process of rewriting the expression Please Help
Mazyrski [523]

Answer:

x^{\frac{21}{4} }

Step-by-step explanation:

Given expression is:

(\sqrt[8]{x^7} )^{6}

First we will use the rule:

\sqrt[n]{x} = x^{\frac{1}{n} }

So for the given expression:

\sqrt[8]{x^{7}}=(x^{7} )^{\frac{1}{8} }

We will use tha property of multiplication on powers:

=x^{7*\frac{1}{8} }

= x^{\frac{7}{8} }

Applying the outer exponent now

(x^{\frac{7}{8} })^6

= x^{\frac{7}{8}*6 } \\= x^{\frac{42}{8} }\\= x^{\frac{21}{4} }

8 0
3 years ago
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