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JulsSmile [24]
2 years ago
15

Solve for side AB. Show all your work Please help!

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
7 0

Given triangle is a right angle triangle so we are allowed to use trigonometric formulas.

We want to find Hypotenuse using angle A and base 7 cm

so right choice is to use cosine

\cos(A)=\frac{AC}{AB}

\cos(25^{\circ})=\frac{7}{AB}

0.90631=\frac{7}{AB}

AB=\frac{7}{0.90631}

AB=7.72362657369

Hence value of side AB is approx 7.72 cm.

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Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, and
mario62 [17]
         m∠A + m∠B = 90
(3x + 5) + (2x - 15) = 90
(3x + 2x) + (5 - 15) = 90
                  5x - 10 = 90
                      + 10  + 10
                         5x = 100
                          5      5
                           x = 20

m∠A = 3x + 5
m∠A = 3(20) + 5
m∠A = 60 + 5
m∠A = 65

m∠B = 2x - 15
m∠B = 2(20) - 15
m∠B = 40 - 15
m∠B = 25
6 0
3 years ago
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What's are the answers!!!!!!!!!!!!!!!!!!!
frozen [14]
To whatttttttttttt free points?
3 0
2 years ago
Given the formula A =pieab solve for a.
Romashka [77]

Answer:

a = A/πb

Step-by-step explanation:

To solve this subject of the formulae given that A = πab.

<u>solution</u>

A = πab

the next step is to look for a unique way to get rid of the variables disturbing "a" from standing alone. this variables are π and b, we need to detach dem from a

A = πab

divide both sides by πb

A/πb = πab/πb

A/πb = a

a = A/πb

therefore  the value of a in the fomular A = πab is evaluated to be  a = A/πb

5 0
3 years ago
Find the measures of the following angles
mezya [45]

Answer:

HGD: 117

FDG: 180

Step-by-step explanation:

4 0
2 years ago
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Use induction to prove: For every integer n &gt; 1, the number n5 - n is a multiple of 5.
nignag [31]

Answer:

we need to prove : for every integer n>1, the number n^{5}-n is a multiple of 5.

1) check divisibility for n=1, f(1)=(1)^{5}-1=0  (divisible)

2) Assume that f(k) is divisible by 5, f(k)=(k)^{5}-k

3) Induction,

f(k+1)=(k+1)^{5}-(k+1)

=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1

=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k

Now, f(k+1)-f(k)

f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)

f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k

f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k

Take out the common factor,

f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)      (divisible by 5)

add both the sides by f(k)

f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)

We have proved that difference between f(k+1) and f(k) is divisible by 5.

so, our assumption in step 2 is correct.

Since f(k) is divisible by 5, then f(k+1) must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number n^{5}-n is a multiple of 5.

3 0
2 years ago
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