Help will give brainliest if right BTW the last answer choice is D. 1

Mrs. Taylor spent $420 on groceries for the week and paying bills. This is 30% of her income for the month. How much money does

natita [175]

Answer: Ms. Taylor earns $1400 a month (good for her)

Step-by-step explanation:

420/3 = $140

$140 x 10 = 1400

5 0

3 years ago

To determine the height of a television tower, a person stands 135 ft from its base and determines the angle of elevation to the

Ipatiy [6.2K]

Answer:

105.5 ft

Step-by-step explanation:

The tangent ratio is the ratio of the side opposite an angle to the adjacent side in a right triangle. Here, the side opposite the angle is the tower height, and the adjacent side is the distance to the tower. Then the appropriate relationship is ...

tan(38°) = (tower height)/(135 ft)

Multiplying by the denominator gives ...

tower height = (135 ft)·tan(38°) ≈ 105.473 ft

The height of the tower is about 105.5 feet.

7 0

4 years ago

Use the scale factor to compare the perimeter and area of the original figure of the enlarged figure. Complete the statements ab

Reika [66]

Answer:

Part 1) The scale factor is 2

Part 2) The perimeter of the enlarged rectangle is 19 units

Part 3) The area of the enlarged rectangle is 19.5 square units (the area of the enlarged rectangle is 4 times the area of the original rectangle)

Step-by-step explanation:

we know that

A dilation is a non-rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeter is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

step 1

Find the scale factor

Let

z ---> the scale factor

$z=\frac{3}{1.5}=2$

step 2

Find the perimeter of the enlarged rectangle

Multiply the perimeter of the original rectangle by the scale factor

The perimeter of the original rectangle is

$P=2(1.5+3.25)=9.5\ units$

so

The perimeter of the enlarged rectangle is

$9.5(2)=19\ units$

step 3

Find the area of the enlarged rectangle

Multiply the area of the original rectangle by the scale factor squared

The area of the original rectangle is

$A=(1.5)(3.25)=4.875\ units^2$

so

The area of the enlarged rectangle is

$4.875(2^2)=19.5\ units^2$

The area of the enlarged rectangle is 4 times the area of the original rectangle

step 4

Find the value of b

Multiply the corresponding side of the original rectangle by the scale factor

$b=3.25(2)=6.50\ units$

Verify the perimeter of the enlarged rectangle

$P=2(3+6.50)=19\ units$ ----> is ok

Verify the area of the enlarged rectangle

$A=3(6.50)=19.5\ units^2$ ---> is ok

8 0

4 years ago

Read 2 more answers

Thomas has a vegetable garden. During the summer he grew 582 vegetables.

ZanzabumX [31]

Answer:

A. 73 cartons

Step-by-step explanation:

You can repeatedly subtract 8 from 582, or you can take a shortcut and do division.

582 ÷ 8 = 72 remainder 6

The last 6 vegetables require another carton, for a total of 73 cartons.

4 0

3 years ago

Question 5 (Fill-In-The-Blank Worth 1 points)

Airida [17]

Answer:

The x-coordinate of the solution to this system of equations is 1.

Step-by-step explanation:

Given,

$6x - 5y = 5\\\\3x + 5y = 4$

We have to find out the x-coordinate of the equation.

Solution,

Let $6x-5y=5\ \ \ \ equation\ 1$

Again let $3x+5y=4\ \ \ \ \ equation \ 2$

Now using elimination method we will solve the equations.

For this we will add equation 1 and equation 2 and get;

$(6x-5y)+(3x+5y)=5+4\\\\6x-5y+3x+5y=9\\\\9x=9$

Now on dividing both side by '9' we get;

$\frac{9x}{9}=\frac{9}{9}\\\\x=1$

Hence The x-coordinate of the solution to this system of equations is 1.

6 0

3 years ago