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2 years ago

Select the correct answers from each drop-down menu.

Mathematics

1 answer:

Nutka1998 [239]2 years ago

5 0

The proof is correctly started by both Eric and Maggie. Also, the next step in the proof is to multiply both sides by the denominator.

<h3>What is the law of sines?</h3>

In Trigonometry, the law of sines is also referred to as sine law or sine rule and it refers to an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

$\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}$

From the given triangle, we can deduce that:

sin(X) = h₁/z ⇒ h₁ = zsin(X).

sin(Z) = h₁/x ⇒ h₁ = xsin(Z).

sin(Y) = h₂/x ⇒ h₂ = xsin(Y).

sin(X) = h₂/y ⇒ h₂ = ysin(X).

Therefore, the proof is correctly started by both Eric and Maggie. Also, the next step in the proof is to multiply both sides by the denominator.

Read more on law of sines here: brainly.com/question/7922954

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The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion about 3/4 comes from tolls on

Rama09 [41]

Percent of turn pike is 75% and percent of parkway is 25%.

Solution:

Given, The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion

About $\frac{3}{4}$ comes from tolls on the turnpike

Remaining $\frac{1}{4}$ comes from tolls on the parkway

To find the percent of the total revenue from turnpike:

$\begin{array}{l}{\text { Percent of turnpike }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \text { of total revenue }}{\text { tot al revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \times \text { total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{3}{4} \times 100=3 \times 25=75 \%}\end{array}$

To find the percent of the total revenue from parkway:

$\begin{array}{l}{\text { Percent of parkway }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \text { of total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \times \text { total revenue}}{\text { total revenue }} \times 100} \\\\ {=\frac{1}{4} \times 100=25 \%}\end{array}$

Summarizing the results:

Percent of turn pike is 75%

Percent of parkway is 25%

3 0

3 years ago

PLZ HELP I NEED BY 2:00 PM ATY LEAST!!! WILL GIVE BRAINLYIST Find the value of in each case:

Pie

Answer:

23°

Step-by-step explanation:

Step 1:

< GEC + < ECG + < CGE = Δ ECG Sum of a Δ

Step 2:

< IGF = < GCE Corresponding ∠ 's

Step 3:

14° + 180° - 4x + 78° = 180° Substitution

Step 4:

272° - 4x = 180° Add / Algebra

Step 5:

- 4x = - 92 Subtract 272° on both sides

Step 6:

- 92 ÷ - 4 Divide

Answer:

x = 23°

Hope This Helps :)

7 0

3 years ago

Read 2 more answers

Write the phrase as an expression. Then evaluate when y=20.

alisha [4.7K]

Answer:

$Q=\frac{40}{y-16}$

$Q=10$

Step-by-step explanation:

Let the quotient be represented by 'Q'.

Given:

The difference of a number 'y' and 16 is $y-16$

Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is $y-16$ . So, we divide both these terms to get an expression for 'Q'.

The quotient of 40 and $y-16$ is given as:

$Q=\frac{40}{y-16}$

Now, we need to find the quotient when $y=20$ . Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,