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3 years ago

Help me find y.......

Mathematics

1 answer:

erastova [34]3 years ago

3 0

Answer:

y ≈ 240.3 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the relation between an angle and the sides adjacent and opposite is ...

Tan = Opposite/Adjacent

In this triangle, the interior angle at lower right is the same as the one marked at upper left: 31°. y is the side opposite that angle, and 400 ft is the side adjacent. Then the relation is ...

tan(31°) = y/(400 ft)

Multiplying by 400 ft gives ...

y = (400 ft)·tan(31°) ≈ 240.3 ft

_____

The triangle interior angle at lower right and the angle marked 31° are "alternate interior angles" relative to the transversal marked x and the (parallel) horizontal lines in the figure. Alternate interior angles always have the same measure.

In geometry problems like this one, it means the angle of elevation (above the horizontal) is equal to the angle of depression (below the horizontal).

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5 cakes cost 3.50 how much do 7 cakes cost

shtirl [24]

Answer:

$4.90

Step-by-step explanation:

If 5 cakes equal 3.50. We must divide 3.50 by 5 to see the price of just one cake. Now since 3.50/5 is 0.70. We must multiply 0.70 by 7. Since we have 7 cakes. Now we get our simple answer of $4.90.

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3 years ago

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A plumber finished there jobs on Tuesday. The first two only cost the owner the $45 trip fee because they book very little to co

Kruka [31]

<span>The plumber's hourly rate is $43. To come to this answer, I first subtracted the $45 fee from 303. That answer was 258, which I divided by 6, because that was the number of hours the plumber worked. That answer was 43, so his hourly rate is $43.</span>

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4 years ago

Please help on these.

Dennis_Churaev [7]

3/3 of 12 is 12(?)
1/4 of 20 is 5
3/4 of 20 is 15
2/4 of 20 is 10
4/4 of 20 is 20
1/5 of 35 is 7
3/5 of 35 is 21
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2/5 of 35 is 14
4/5 of 35 is 28
annnd....
6/5 of 35 is 42
I hope these are right and are beneficial to your work

8 0

3 years ago

A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a g

Natasha2012 [34]

Answer:

(A) $y=-0.762+0.119x$

(B) If a country increases its life expectancy, the happiness index will increase.

(C) If the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D) If the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

Step-by-step explanation:

A regression analysis was performed to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).

The output of the regression analysis are as follows:

a = -0.762

b = 0.119

r² = 0.8649

r = 0.93

(A)

The equation of the Least Squares Regression line of the form y = _ + _ x is:

$y=-0.762+0.119x$

(B)

The correction between the variables happiness index (y) and life expectancy in years of a given country (x) is, 0.93.

The correlation coefficient is positive. This implies that there is a positive relation between the two variables, i.e. as the value of life expectancy in years increases the happiness index also increases.

Thus, if a country increases its life expectancy, the happiness index will increase.

(C)

Compute the value of y for x = x + 3.5 as follows:

$y=-0.762+0.119x$

$=-0.762+0.119\times (x+3.5)\\\\=(-0.762+0.119x)+0.4165\\\\=y+0.4165$

Thus, if the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D)

Compute the value of y for x = 67 as follows:

$y=-0.762+0.119x$

$=-0.762+0.119\times 67\\\\=-0.762+7.973\\\\=7.211\\\\\approx 7.21$

Thus, if the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

6 0

4 years ago

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

Verdich [7]

the first option is the answer

Step-by-step explanation:

4c + 6a <= 120 [building hours]

4c + 4a <= 100 [testing hours]

4 * 20 + 6 * 6 <= 120

80 + 36 <= 120

116 <= 120

true, they have enough building hours

4 * 20 + 4 * 6 <= 100

80 + 24 <= 100

104 <= 100

false, they won't have enough testing hours

the first option is the answer

3 0

3 years ago