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Dafna11 [192]
3 years ago
15

Find all the missing sides and angles of this triangle,

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

m<A = 19.96degrees

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Theresa has to pay back 5000 in student loans. She can afford to pay 150 per month. Write a linear function that describes this
LenKa [72]

Answer:

p = 5000 - 150 * m

Step-by-step explanation:

We need a function that tells us the total value to pay with respect to the student loan, Theresa has a monthly fee so that each time passes she would have to pay less.

Therefore, the total of paying over time would be the initial value of the loan minus the fixed value that must be paid for the amount of time, in this case months, as follows:

p = 5000 - 150 * m

6 0
3 years ago
Find the area of circle having 176cm circumference.With step by step explanation.plz​
Olin [163]

Answer:

\huge\boxed{A=784\pi\ cm^2\approx2464\ cm^2}

Step-by-step explanation:

The formula of a circumference of a circle:

C=2\pi r

<em>r</em> - radius

The formula of an area of a circle:

A=\pi r^2

<em>r</em> - radius

We have C = 176cm. Substitute to the formula and calculate the radius <em>r</em>:

2\pi r=176\qquad|\text{divide both sides by}\ 2\pi\\\\r=\dfrac{176}{2\pi}\\\\r=\dfrac{88}{\pi}\qquad|\text{use}\ \pi\approx\dfrac{22}{7}\\\\r=\dfrac{88}{\frac{22}{7}}\\\\r=88\cdot\dfrac{7}{22}\\\\r=4\cdot7\\\\\boxed{r=28(cm)}

Calculate the area:

A=\pi\cdot28^2=784\pi\approx784\cdot\dfrac{22}{7}=112\cdot22=2464(cm^2)

According to the moderator, I should take \pi\approx3.14. You can do it like that. In my opinion, my solution is correct.

6 0
3 years ago
HELP PLEASE!!! I'm so confused
lidiya [134]

Answer:

3,559.69

Step-by-step explanation:

the area = ½× 88×100× sin 54°

= 4400× 0.80902

= 3,559.69 sq units

3 0
3 years ago
Write an inequality that represents the following scenario: a number divided by 10 increased by 8 is greater than 15.
Sonbull [250]
\frac{x}{10} + 8 > 15
4 0
3 years ago
Evaluate 4c + 8 when c = 2
Wittaler [7]

Answer:

16

Step-by-step explanation:

4c + 8

Replace 'c' with 2 and evaluate:

4(2) + 8

8 + 8

16

Hope this helps.

8 0
3 years ago
Read 2 more answers
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