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Kaylis [27]
2 years ago
12

What is the missing dimension of a parallelogram if h=5 1/4feet and A=12feet

Mathematics
1 answer:
alexandr1967 [171]2 years ago
3 0
The missing is the base 
A=bh
12= 5.25b
Divide both sides by 5.25
b=2.29 ft
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Find the cosine of angle B.
Alexandra [31]

\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }

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9² = 12² + 15² - 2 (12) (15) cos (B)

81 = 144 + 225 - 360 cos(B)

81 = 369 - 360 cos (B)

360 cos (B) = 369 - 81

360 cos (B) = 288

cos (B) = 0.8

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Answer: Cosine B = 0.8

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\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }

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12² = 15² + 9² - 2 (15)(9) cos (A)

144 = 225 + 81 - 270 Cos A

144 = 306 - 270 Cos A

270 Cos A = 162

Cos A = 3/5 or 0.6

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Answer: Cosine Angle A = 3/5

4 0
3 years ago
Find all real zeros of the function.<br> F(x)=-5x(x^2-25)(x-7)
Rudiy27

Answer:

x - intercepts: (-5,0), (5,0), (7,0)

I'm not sure if you would count these, but x and y also have the intercept of (0,0).

8 0
3 years ago
The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term, but a
Tom [10]

Answer:

H₀: µ ≤ $8,500; H₁: µ > $8,500

z= +1.645

Step-by-step explanation:

From the given problem  As average cost of tuition and room and board at a small private liberal is less than the financial administrator As hypothesis is true.

As standard deviation is $ 1,200

α = 0.05

H₀: µ ≤ $8,500

if the null hypothesis is true then value for critical z is +1.645.

6 0
2 years ago
What is the answer to [(x²+4x)-2]²
Rudik [331]

Answer:

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Step-by-step explanation:

Given

[(x² + 4x) - 2 ]² ← simplify contents of bracket

= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis

= x^{4} + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms

= x^{4} + 8x³ + 12x² - 16x + 4

6 0
3 years ago
Solution to 3x+2y=24
seropon [69]

Answer:

it’s a multi step equation

Step-by-step explanation:

solve like a multi step

7 0
3 years ago
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