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3 years ago

How much does Manuela earn for each hour of tutoring? Explain

Mathematics

2 answers:

ki77a [65]3 years ago

6 0

Answer:

$10 an hour.

Step-by-step explanation:

The x-axis is the hour and the y-axis is the money. When the line is above the 1 hour line, it is on the $10 line.

aksik [14]3 years ago

6 0

Answer:

Manuela earns $10 for each hour of tutoring.

Step-by-step explanation:

We can get our answer by looking at an ordered pair in the graph below.

(2,20)

The x-value 2 means 2 hours worked and the y-value 20 means $20 earned. We can find out how much she earned in 1 hour by dividing,

$20 / 2 hours = $10

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Need help with a math question

krek1111 [17]

Answer:

x=13°

Step-by-step explanation:

If BE is an angle bisector, then it divides the angle into two equal angles. This means that

∠ABE=∠EBC

Since ∠ABE=2x+20 and ∠EBC=4x-6, we have

2x+20=4x-6

2x-4x=-6-20

-2x=-26

2x=26

x=13°

4 0

4 years ago

Special right triangles.

Oliga [24]

QUESTION 9

The given right angle triangle has its two legs equal to $x\:cm$ and the hypotenuse is $2\:units$ .

Using the Pythagoras theorem, we have

$x^2+x^2=2^2$

This implies that;

$2x^2=2^2$

$2x^2=4$

$x^2=2$

$x=\sqrt{2}$

$x=1.414$

$x\approx1.4\:units$

QUESTION 10

The given right angle triangle has its two legs equal to $x\:units$ and the hypotenuse is $7\:units$ .

Using the Pythagoras theorem, we have

$x^2+x^2=7^2$

This implies that;

$2x^2=7^2$

$2x^2=49$

$x^2=24.5$

$x=\sqrt{24.5}$

$x=4.95\:units$

QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be $x\:units$ , then the other side of the garden is also $x\:units$ since it was a square backyard.

The diagonal is the hypotenuse which is 40ft and the two legs are $x\:units$ each.

Applying the Pythagoras Theorem, we have;

$x^2+x^2=40^2$

$2x^2=1600$

$x^2=800$

$\Rightarrow x=\sqrt{800}$

$\Rightarrow x=28.28$

The length of one side of the garden is approximately 28cm.

QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.

It was given that the two lengths of the triangular support are of equal length.

Let the two lengths of the triangular support be $l\:cm$ each.

We then apply the Pythagoras theorem to obtain;

$l^2+l^2=92^2$

$\Rightarrow 2l^2=8464$

$\Rightarrow l^2=4232$

$\Rightarrow l=\sqrt{4232}$

$\Rightarrow l=65.05cm$

Therefore Nicole needs $l+l=65.05cm+65.05cm\approx130cm$ of wood to complete the support.

The correct answer is A.

QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.

Let the length of the two legs be $m\:inches$ each.

It was given that the hypotenuse of this triangle is $12\:inches$ .

Applying the Pythagoras Theorem, we have;

$m^2+m^2=12^2$

$\Rightarrow 2m^2=144$

$\Rightarrow m^2=72$

$\Rightarrow m=\sqrt{72}$

$\Rightarrow m=8.49$

The length of one leg of the hypotenuse is approximately 8.5 inches to 1 decimal place.

QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.

Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

Let this distance be $d\:ft$ , then using the Pythagoras theorem;

$d^2=90^2+90^2$

$d^2=8100+8100$

$d^2=16200$

$\:d=\sqrt{16200}$

$\:d=127.279$

Therefore the distance from home plate to second base is 127 ft to the nearest foot.

QUESTION 15.

The distance from third base to first base is also 127 ft to the nearest foot.

The reason is that the diagonals of a square are equal in length.

3 0

3 years ago

In 2001, the United States' oil consumption was 7,297.4 millions of barrels, while Japan's was 1,979.4 millions of barrels. How

AleksAgata [21]

The answer would be 5,318,000 more barrels were consumed by the U.S than Japan

5 0

3 years ago

Read 2 more answers

A SQUARE PATIO HAS AN AREA OF 200 SQUARE FEET. HOW LONG IS EACH SIDE OF THE PATIO TO THE NEAREST 0.05

lara [203]

If you would like to know the length of each side of the patio, you can calculate this using the following steps:

an area ... 200 square feet
a ... the length of one side

area = a * a = a^2
200 = a^2
a = sqrt(200)
a = 14.14 feet

The correct result would be 14.14 feet.

6 0

3 years ago

The carpet Erin has chosen costs 2.50per square foot. how much will it cost her to carpet the floor?

Elan Coil [88]

I think it depends on the area of the floor. You can figure that out if you
know the dimensions of the floor, like length and width and like that.

8 0

3 years ago

Read 2 more answers