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3 years ago

In triangle ABC, ZA and B are complementary, where cos A = 0.5.

Mathematics

1 answer:

Marizza181 [45]3 years ago

7 0

Answer: Angle B measures 30 degrees.

Step-by-step explanation: First of all, angles A and B are complimentary, which means they both add up to 90. Also the cosine of angle A has been given as 0.5

The value in degrees, of an angle whose cosine is 0.5000 is equal to 60 degrees (this can be verified with a table of values, or by checking the second function Cosine of a calculator).

Where angle A has been determined to be 60 degrees and angles A and B are complimentary, angle B is derived as follows;

Angle A + Angle B = 90 {Complimentary angles equal 90}

60 + Angle B = 90

Subtract 60 from both sides of the equation

Angle B = 30 degrees

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How many square inches of crust would it take to cover the bottom of a pie dish with a 15 inch diameter ?

Rus_ich [418]

Your answer would be 176.71

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4 years ago

Hii I need help with these questions tyy!

9966 [12]

Answer:

(7x+2)(3x-1); (5x+4)^2 or (5x+4)(5x+4);

Step-by-step explanation:

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21.

using the formula to find area...

l*w=a

(7x+2)(3x-1) would be your answer

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22.

since the problem states that it's a square, you can just say either...

(5x+4)^2 or (5x+4)(5x+4) not sure which one your teacher accepts

4 0

2 years ago

Read 2 more answers

Evaluate the integral by making an appropriate change of variables.

VARVARA [1.3K]

By inspecting the integrand, the "obvious" choice for substitution would be

u = y + x

v = y - x

Solving for x and y, we would have

x = (u - v)/2

y = (u + v)/2

in which case the Jacobian and its determinant are

$J=\begin{bmatrix}x_u&x_v\\y_u&y_v\end{bmatrix}=\dfrac12\begin{bmatrix}1&-1\\1&1\end{bmatrix}\implies|\det J|=\left|\dfrac12\right|=\dfrac12$

The trapezoid R has two of its edges on the lines x + y = 8 and x + y = 9, so right away, we have 8 ≤ u ≤ 9.

Then for v, we observe that when x = 0 (the lowest edge of R), v = y ; similarly, when y = 0 (the leftmost edge of R), v = -x. So

-x ≤ v ≤ y

-(u - v)/2 ≤ v ≤ (u + v)/2

-u + v ≤ 2v ≤ u + v

-u ≤ v ≤ u

So, the integral becomes

$\displaystyle\iint_R5\cos\left(7\frac{y-x}{y+x}\right)\,\mathrm dA=\int_8^9\int_{-u}^u\frac52\cos\left(\frac{7v}u\right)\,\mathrm dv\,\mathrm du$

$=\displaystyle\frac52\int_8^9\frac u7(\sin7-\sin(-7))\,\mathrm du$

$=\displaystyle\frac57\sin7\int_8^9u\,\mathrm du$

$=\displaystyle\frac5{14}\sin7(9^2-8^2)=\boxed{\frac{85}{14}\sin7}$

4 0

3 years ago

Common denominator of 3, 4, 5.

gtnhenbr [62]

Answer:

The LCM of 3,4,5 3 , 4 , 5 is 2⋅2⋅3⋅5=60 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .

Step-by-step explanation:

6 0

3 years ago

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a 2014 mustang originally costs $25000.00 and depreciates at a rate of 8% per year. What is the cost of the car after 7 years?

frutty [35]

$11,000 will bet the cost in 7 years

Given:

Original cost: $25,000

Depreciation rate: 8%

Term: 7 years

Formula for Depreciation:

A = C ( 1 - ( r ) (t) )

A = Future Value

C = Original Cost

r = rate

t = term

Solution:

Substitute the given values to the formula for depreciation.

A = $25,000( 1 - ( 0.08)(7))

A = $25,000( 1 - .56 )

A = $25,000(0.44 )

A = $11,000

8 0

2 years ago