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grin007 [14]
3 years ago
11

henry receives a flat rate of $90 per day and can earn a $2.50 commission for each computer repair (r) he performs. yolanda rece

ives a flat rate of $75 per day and can earn $5.25 per computer sale (s) she makes. which system of linear equations models their earnings?
Mathematics
1 answer:
Blizzard [7]3 years ago
4 0
Henry: 2.50r + 90 = Earnings
Yolanda: 5.25r + 75 = Earnings
Where r is the number of repairs performed. 
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The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.
taurus [48]

Answer:

A\approx 28^{\circ}

Step-by-step explanation:

Please find the attachment.  

We have been given that area of triangle ABC is 3√2 square inches.

\text{Area}=\frac{1}{2}\text{Base}\times \text{height}

We know that area of triangle an be found using trigonometry as:

\text{Area}=\frac{1}{2}\times c\times h

\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)

3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)

3\sqrt{2}=9\cdot \text{sin}(A)

9\cdot \text{sin}(A)=3\sqrt{2}

\text{sin}(A)=\frac{3\sqrt{2}}{9}

\text{sin}(A)=\frac{\sqrt{2}}{3}

Now, we will use inverse sine to find the value of angle A as:

A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})

A=28.1255057^{\circ}

A\approx 28^{\circ}

Therefore, the measure of angle A is approximately 28 degrees.

3 0
3 years ago
How do you do this question it is kinda difficult to understand
Dafna1 [17]
Speed = slope of the line = 20 / 0.5 = 40 km / hr

Second part will be a line with downward slope from the end of the horizontal line Slop = 20 / 1/3 (=60 km/h) So it will pass through the 65 on horizontal axis.
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belka [17]
I’m not a true percent sure but I think it’s C
8 0
3 years ago
10x-2y=18 8x=y solve by substitution
lana [24]

Answer:

x = -1 and y = 18

Step-by-step explanation:

Given the system of equations

y + 8x = 10... 1

2y - 4x = 40 ... 2

From 1; y = 10-8x

Substitute into 2;

2(10-8x) - 4x = 40

20 - 16x - 4x = 40

20 - 20x = 40

-20x = 40 - 20

-20x = 20

x = -1

Recall that y = 10-8x

y = 10 - 8(-1)

y = 10 + 8

y = 18

therefore your answer is  x = -1 and y = 18

4 0
3 years ago
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Norma-Jean [14]

Answer:

Look at the lightest loaf of bread. It weighs 22 1/3 oz. The heavist loaf weighs 24 1/2. Subtract 24 1/2 and 22 1/3. Then, if the answer to that is 1 1/2 ounces then you agree. If it is not, then disagree. Then, add up all of the weights of the bread and find the answer.

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