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ANEK [815]
3 years ago
11

Round your answer to the nearest hundredth BC=?

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

BC = 1.71

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse  in a right triangle

α = 70°

a: adjacent  = BC

h: hypotenuse = 5

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

we look at which meets those data between the sine, cosine and tangent

is the cosine

cos α = a/h

Now we replace the values ​​and solve

cos 70 = a/5

0.34202 = a/5

0.34202 * 5 = a

1.7101 = a

round to the neares hundredth

a = 1.7101 = 1.71

BC = 1.71

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Answer:

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Step-by-step explanation:

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3 years ago
Jane moved from a house with 66 square feet of closet space to an apartment with 34.98 square feet of closet space. What is the
Kryger [21]

There is a 47% decrease in Jane's closet space.

Step-by-step explanation:

Old measurement of closet = 66 square feet

New measurement of closet = 34.98 square feet

Change = New value - Old value

Change = 34.98 - 66 = -31.02 square feet

The negative sign indicates the decrease.

Decrease percent = \frac{Change}{Old\ value}*100

Decrease\ percent=\frac{31.02}{66}*100 = \frac{3102}{66}\\Decrease\ percent=47\%

There is a 47% decrease in Jane's closet space.

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Learn more about percentages at:

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8 0
3 years ago
Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before
makkiz [27]

Answer: Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 12 hours

Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

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As per given , we have

\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24

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Time taken by Ximena = 4 hours

Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)

Therefore, x= 24

Such that

Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 24-12=12 hours

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3 years ago
6m+7n+5m−3n simpified
diamong [38]

Answer:

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