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3 years ago

Find 2.4% of $109. Show work.

Mathematics

1 answer:

Alex73 [517]3 years ago

6 0

Answer:

$2.62

Step-by-step explanation:

$2.4\% \: of \: \$109 \: \\ \\ = \frac{2.4}{100} \times 109 \\ \\ = 0.024 \times 109 \\ \\ = \$2.616 \\ \\ \approx \: \$2.62$

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Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric

mariarad [96]

Answer:

$\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}$

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of θ then $r=\sqrt{x^2+y^2}$

$r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17$ units

$\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}$

6 0

3 years ago

1. The rectangle shown is dilated by a scale factor of 3.

beks73 [17]

You do 15x8 then you divide it by 3

6 0

3 years ago

Which expression is equivalent to the given expression using the commutative property of addition.

9966 [12]

The given question is wrong.

Question:

Which expression is equivalent to the given expression using commutative property of addition? 2(x + b) + 3(xa).

Answer:

Option C:

3(xa) + 2(x + b)

Solution:

Given expression is 2(x + b) + 3(xa).

To find the equivalent expression using commutative property of addition.

Let us first define the commutative property of addition.

a + b = b + a

You can add in any order.

Now, write the given expression using commutative property.

2(x + b) + 3(xa) = 3(xa) + 2(x + b)

Option C is the correct answer.

Hence 3(xa) + 2(x + b) equivalent expression using commutative property of addition.

8 0

3 years ago

If the length,l, of the yard is 18 feet longer than the width ,w, of the yard, what is the area of the yard , in square yard

Advocard [28]

Answer: The area is $w^{2}$ + 18w

Step-by-step explanation:

We could represent the length of the yard by l = w+18 and the width as w .

And to find the area we will have to multiply the length by the width.

A= w(w+18 ) multiply

A= $w^{2}$ + 18w

8 0

4 years ago

Read 2 more answers

Expand and Simplify<br> 10a-(3a+7)

yuradex [85]

The answer would be 7(a - 1)

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3 years ago