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astra-53 [7]
3 years ago
11

Write 625 using exponents as many as you can

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0

Idk if this will help, but her :)

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The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.
Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m  + 40 m  + c = 120 m

61 m +  c = 120 m

c = 120 m - 61 m

c = 59 m

                         B

                     ↓            ↓  

                  ↓                          ↓

                ↓                                       ↓

            A →  →  → →  →  → →  → →    →    →  C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0

Angle B is calculated as follows;

Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0

Angle C is calculated as follows;

Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0

Therefore, the largest angle of the field is 149⁰.

       

8 0
3 years ago
Calculate the new balance using the previous balance method. Previous balance = $34.80 Finance charge = $0.75 New purchases = $8
pychu [463]
<h3>Given</h3>

new balance = previous balance + finance charge + purchases - payments

previous balance = $34.80

finance charge = $0.75

purchases = $83.21

payments = $5.50

<h3>Find</h3>

new balance

<h3>Solution</h3>

Fill in the given information and do the arithmetic.

... new balance = previous balance + finance charge + purchases - payments

... new balance = $34.80 + 0.75 + 83.21 - 5.50

... new balance = $113.26 . . . . matches the 2nd choice

7 0
3 years ago
Can someone plz help me with this plzz
vesna_86 [32]

Answer:

hi how are you wanna be friend

Step-by-step explanation:

6 0
2 years ago
Which number represents 59% of 74??
alexandr1967 [171]

Answer:

43.66

Step-by-step explanation:

Just calculate 59% of 74

4 0
3 years ago
Please help! [99 points]
anygoal [31]
This is a linear function.

A linear function is a straight line that has a slope, and follows the formula: <em>
y = mx + b</em>

In which: 
y = y
m = slope
x = x
b = y -intercept


hope this helps<em />
4 0
3 years ago
Read 2 more answers
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