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xxMikexx [17]
2 years ago
12

10. Joseph and Tabitha were hiking and had a choice between two trails. One was

Mathematics
1 answer:
Nataly [62]2 years ago
3 0

Answer:

10+5=15 sow longer trail is 15

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You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is
lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C =  90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± \sqrt{a^{2} +b^{2} }

Substitute a and b:

c = ±\sqrt{346346^{2} +7777^{2} }

Comes out to ~346433.3 meters.

Now if we use the Law of Sines:

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

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

\frac{346346}{sinA} = \frac{346433.3}{sinC}

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

\frac{346346}{sinA} = \frac{346433.3}{1}

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

\frac{346346}{346433.3} = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( \frac{346346}{346433.3} ) = ∠A = 88.7°

5 0
2 years ago
Turn this improper fraction in mixed numbers.23/7​
Pavel [41]

Answer:

3  2 /7

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

3 0
2 years ago
Please help me with this questionnn!!! ​
PSYCHO15rus [73]

Answer:

B. 15

Step-by-step explanation:

Prime factors of 15 is 3 and 5

sum of 3 and 5 is 8

7 0
3 years ago
Read 2 more answers
HELP ASAP All the students in a history class complete a 10-point
liubo4ka [24]

Answer:

A. y = x+10

Step-by-step explanation:

The original test score is x

And in the next assignment it is 10 more means,

x + 10

If the new score is y then it should be equal to the above solution.

Hence, answer is <u>y</u><u> </u><u>=</u><u> </u><u>x</u><u>+</u><u>10</u><u>.</u>

7 0
2 years ago
Read 2 more answers
The base of the following pyramid is a square. If the surface area of the pyramid is 896 in^2, what is it's volume? Side base le
MatroZZZ [7]

Answer: 457.3

Step-by-step explanation:

V=\frac{lwh}{3}

V=\frac{14*14*7}{3}= 457.3

7 0
3 years ago
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