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3 years ago

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Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the

number of engine blocks Gus installed yesterday.

2 answers:

jeka943 years ago

8 0

Answer:

g = j - 12

Step-by-step explanation:

Let's say Jessie installed j axles. Convert words to math:

- "12 more" = + 12

- "the number of engine blocks her friend Gus installed yesterday" = g

Put it together: g + 12. This is equal to j: j = g + 12. Solve for g:

j = g + 12

g = j - 12

dem82 [27]3 years ago

7 0

Lets use the variables "a" and "g" to solve.

a = number of axles

g = number of engine blocks

If Jessie has 12 more axles than the number of engine blocks, this means we are adding (g + 12).

Now, we have the expression a = g + 12

Solve for g since we are finding the number of engine blocks Gus Installed.

a = g + 12

~Subtract 12 to both sides

a - 12 = g + 12 - 12

a - 12 = g

Therefore, the answer is [ a - 12 = g ]

Best of Luck!

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Step 1: Find conversion

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Step 2: Use Dimensional Analysis

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3 years ago

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3 years ago

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kykrilka [37]

Answer:

$opposite\approx 70.02$

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Please note that the names ( $opposite$ ) and ( $adjacent$ ) are subjective and change depending on the angle one uses in the ratio. However the name ( $hypotenuse$ ) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ( $tan$ ) ratio.

$tan(\theta)=\frac{opposite}{adjacent}$

Substitute,

$tan(35)=\frac{opposite}{100}$

Inverse operations,

$tan(35)=\frac{opposite}{100}$

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2 years ago

PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM

Brrunno [24]

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

$c^{2} =a^{2} +b^{2}$

c = $\sqrt{a^{2} +b^{2} }$

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = $\sqrt{40^{2} + 9^{2} }$

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = $\sqrt{12^{2} + 13^{2} }$

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$35^{2} = 20^{2} + b^{2}$

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$b^{2}$ = 1225 - 400

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$\sqrt{b^{2} } = \sqrt{825}$

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For question 4:

c = 37

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$37^{2} = 20^{2} + b^{2}$

1369 = 400 + $b^{2}$

$b^{2}$ = 1369 - 400

$b^{2}$ = 969

Taking square root on both sides

b = 31.12

Hope it helps.

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2 years ago