MATHEMATICS HIGH SCHOOL

Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.208 + 10x = 36x

How many purses must she sell in order to break even?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

You want to isolate x so that you can solve for it based on the value you have.

This gives you 26x=208. 208/26 equals 8

Answer 2

Answer:

Answer:

D) 8

Step-by-step explanation:

edge2020

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Hey guys I'm pretty sure I got the first two questions but if I didn't can you help me and I need help with the last two questions.

Answers

GOF = 62°
the adjacent angle i think is EOH

In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C

Answers

Since angle C is not 90 degrees, it's one of the acute angles
in the right triangle.

   (The side adjacent to angle C ) divided by (hypotenuse)

is the cosine of angle C .

(adjacent) / (10 inches) = cos(40 degrees)

Multiply each side by (10 inches):

      Adjacent side = (10 inches) x cos(40) =

(10 inches) x 0.766 =

7.66 inches (rounded)

The approximate length of the side adjacent to angle $C$ is $\boxed{{\mathbf{7}}.7{\mathbf{ inches}}}$ .

Further explanation:

The trigonometry ratio used in the right angle triangles.

The cosine ratio can be written as,

$\cos \theta = (length\ of\ the\ side\ adjacent\ to\ \theta )/(hypotenuse)$

Here, base is the length of the side adjacent to angle $\theta$ and hypotenuse is the longest side of the right angle triangle where the length of side opposite to angle $\theta$ is perpendicular that is used in the sine ratio.

Step by step explanation:

Step 1:

The attached right angle triangle can be observed from the given information.

First define the hypotenuse and the base of the triangle.

The side $BC$ is adjacent to angle $C$ and the side $AC$ is the hypotenuse of $\Delta ABC$ .

Therefore, the ${\text{length of the side adjacent to C}}=BC$ and ${\text{hypotenuse}}=10$ .

Step 2:

Since, the cosine ratio is $\cos \theta = (length\ of\ the\ side\ adjacent\ to\ \theta )/(hypotenuse)$

Now put the value ${\text{length of the side adjacent to C}}=BC$ and ${\text{hypotenuse}}=10$ in the cosine ratio.

$\begin{aligned}\cos C&=\frac{{BC}}{{10}}\n{\text{co}}s40&=\frac{{BC}}{{10}}\n0.766&=\frac{{BC}}{{10}}\nBC&=7.66\n\end{aligned}$

Therefore, the approximate length of the side adjacent to angle $C$ is $7.66{\text{ inches}}$ .

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Trigonometry

Keywords: Distance, Pythagoras theorem, base, perpendicular, hypotenuse, right angle triangle, units, squares, sum, cosine ratio, adjacent side to angle, opposite side to angle.

EF is the angle bisector of TEA find the two angle measures not given in the diagram

Answers

Since EF is the angle bisector of TEA, it divides the angle TEA into two congruent angles. Let's denote the measures of the angles as x.

So, the measure of angle EAF would also be x.

Now, the sum of the angles in a triangle is always 180 degrees.

From the given diagram, we have:
Angle T = 100 degrees
Angle EAF = x degrees
Angle A = 90 degrees

To find the two angle measures not given in the diagram, we can use the fact that the sum of angles in a triangle is 180 degrees.

180 = Angle T + Angle EAF + Angle A

Substituting the given angle measures:
180 = 100 + x + 90

Simplifying the equation:
180 = 190 + x

Next, we solve for x:
x = 180 - 190
x = -10

We found that x is equal to -10. However, in the context of angles, negative values are not meaningful. Therefore, we can conclude that there is no unique solution for the two angle measures not given in the diagram.

What is the volume of a cube with an edge length of 0.8 m?Enter your answer in the box.

m³=

Answers

0.8 * 0.8 * 0.8 is the volume. 0.512 m3.

Answer:

Just took the quiz ;-; the answer is "0.512"

Thank me later xD

8j^3 + 4j^2 + 10j + 5 factor this expression with work?

Answers

First group the like terms:
8j^3+4j^2+10j+5
Set a common factor for two terms:
4j^2(2j+1)+5(2j+1)
Since it is like adding numbers with common factors.

(4j^2+5)(2j+1)

Hope this helps :)

Factor 8j^3+4j^2+10j+5

(2j+1)(4j^2+5)

I hope that's help !

the population of masterton was 23 000 in 2012. Assume that Masterton population increases at a rate of 2% per year. Write an equation to model the population of masterton (y) based on number of years since 2012(x)

Answers

So, let's first focus on the first year:

the population then would be: 23000* (100+2)%

100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.

So it will be 23000*1.02

After two years it will be 23000*1.02*1.02, and so on

so after x years it will be:

y=23000* $1.02^(z)$

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