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tia_tia [17]
3 years ago
12

A woman whose eyes is 1.6 m above The ground find that the angle of elevation to the top of her house is 12°. If she is 40 m fro

m the base of her house, how tall is her house?
Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0

Answer:

The height of house is 8.48 m

Step-by-step explanation:

Given as :

The angle of elevation to the top of house = 12°

The measure from base of house = 40 m

Let the height of house = h m

So, Tan\theta = \frac{Perpendicular}{Base}

Or,  Tan12^{\circ} = \frac{Height}{40}

Or, 0.212 = \frac{Height}{40}

∴   Height = 40 × 0.212 = 8.48 m

Hence The height of house is 8.48 m    Answer

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As a salesperson, Jonathan is paid $50 per week plus 3% of the total amount he sells. This week, he wants to earn at least $100.
Murljashka [212]

Answer:

50+0.03x\geq 100

Step-by-step explanation:

All you need to do is look at the numbers given in the word problem and convert them to algebraic terms.

5 0
3 years ago
Write the equation of the line that passes through the points (-9, -3) and (-7,7).
tiny-mole [99]

Answer:

y=5x+42

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-(-3))/(-7-(-9))

m=(7+3)/(-7+9)

m=10/2

m=5

y-y1=m(x-x1)

y-(-3)=5(x-(-9))

y+3=5(x+9)

y=5x+45-3

y=5x+42

6 0
3 years ago
Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make
rusak2 [61]

Answer:

6ft

36ftsquared

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the f
Kipish [7]

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

5 0
2 years ago
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