The area of the circle is 40 yards find the area of the circle. Use 3.14 for π.

Answer:

C. 4,900 = m times 5,000

Step-by-step explanation:

Total books = 5,000

Fiction = 4,900

Calculations:

[tex]5,000. \frac{x}{100} =4,900[/tex]

[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]

[tex]\frac{x}{100} =0.98[/tex]

[tex]x=98[/tex]

Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%

Therefore, 4,900 is 98% of 5,000.

So 5,000 x 98% = 4,900

And the equation that matches that is C.

A) 3/4 ÷ 5 1/5.

Answer:

[tex] \frac{15}{104} [/tex]

B) 3/7 ÷ 2 1/2.

Answer:

[tex] \frac{6}{35} [/tex]

C) 5/8 ÷ 6 5/6.

Answer:

[tex] \frac{15}{164} [/tex]

D) 8 3/10 ÷ 5/8.

Answer:

[tex]13 \frac{7}{25} [/tex]

Answer:

2,120 m

Step-by-step explanation:

Cedric lives at one end of Main Street, and Landon lives at the other end of the street

Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house.

Step 1

We calculate the kilometers Cedric has to walk to arrive at Landon's house

This is given as:.

6.02km - 3.9 km

= 2.12 km

Step 2

How many more meters must Cedric walk to arrive at Landon's house?

We convert from km to m

1 km = 1000m

2.12km = x

Cross Multiply

x = 2.12 × 1000m

x = 2120 m(meters)

Given:

The figure of a polygon.

To find:

The area of the polygon.

Solution:

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

Area of trapezoid is

[tex]Area=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases and h is the height.

The area of the triangle with base 6 cm and height 8 cm is

[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]

[tex]A_1=24[/tex]

Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is

[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]

[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]

[tex]A_2=(9)(5)[/tex]

[tex]A_2=45[/tex]

Now, the total area of the polygon is

[tex]A=A_1+A_2[/tex]

[tex]A=24+45[/tex]

[tex]A=69[/tex]

Therefore, the area of the polygon is 69 sq. cm.

Answer: option 4

Step-by-step explanation:

The transformation of the parent function is stretched by a factor of 2 and translated 8 units right and 5 units down

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) = ∛x

And , the given function is y = ∛ ( 8x - 64 ) - 5

On simplifying , we get

Taking 8 as the common factor , we get

y = ∛ 8 ( x - 8 ) - 5

Now , the cube root of 8 is 2

So , y = 2∛(x - 8 ) - 5

The transformed function is y = 2∛(x - 8 ) - 5

And , the transformation is a vertical stretching by a factor of 2

And , a horizontal right shift by 8 and a vertical down shift by 5

Hence , the transformation of function is stretching by a factor of 2 and translated 8 units right and 5 units down

To learn more about transformation of function click :

https://brainly.com/question/26896273

#SPJ7

Answer:

$74,860.50

Step-by-step explanation:

Wages per hour = $28.42

Allowance per hour = $9.97

8.30am to 4.00pm = 7.5 hours

Per day income (24 hours) = 7.5 * $28.42 + 7.5 * $9.97

= $213.15 + $74.775

= $287.925

Weekly income (Monday - Friday) = 5 days * $287.925

= $1,439.625

There are 52 weeks in a year

Yearly income = 52 weeks * $1,439.625

= $74,860.50

His yearly income = $74,860.50

Answer:

Yes

Step-by-step explanation:

I see a right angle, so its perpendicular

Answer:

7.80%

Step-by-step explanation:

Given data

Amount borrowed=$3,209

Payback amount= $4,210.21

Simple interest= 4,210.21-3,209= 1001.21

time= 4 years

We know that

SI= PRT/100

1001.21= 3,209*R*4/100

cross multiply

1001.21*100= 12836R

100121/ 12836= R

R=7.80

Hence the rate is 7.80%

Answer: -30

Step-by-step explanation:

multiplicación simple 10(-3) = -30

Answer:

3/7

Step-by-step explanation:

you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven

Answer: The volume of the aquarium = 790 cubic meters

Step-by-step explanation:

Volume of rectangular prism = length x width x height

Given: An aquarium is in the shape of a right rectangular prism that is 22.9m long, 7.5m wide and 4.6m high.

Volume = [tex]22.9\times7.5\times4.6[/tex]

i.e. Volume = 790.05 cubic meters

i.e. Volume ≈ 790 cubic meters  (rounded to the nearest cubic meter)

Hence, the volume of the aquarium = 790 cubic meters (approx)

Answer:

B: 24x2y

Step-by-step explanation:

edge

Since 4x² is the GCF of this polynomial, the mystery term could be given by:

24x²y

It is the multiplication of the GCF of the numeric constants by the GCF of the coefficients.

In this problem, the GCF is of 4x², which means that for the third term:

More can be learned about the greatest common factor at https://brainly.com/question/6032811

Answer:

$220.02 - $16.99 = $203.03

$203.03 / $.79 = 257 miles

Answer = 257 miles

Step-by-step explanation:

Hope this helps! Have a great day!

Answer:

Principal = $700

Step-by-step explanation:

Simple interest = principal × rate × time

Simple interest = $28

Rate = 2% = 0.02

Time = 2 years

Principal = x

Simple interest = principal × rate × time

28 = x * 0.02 * 2

28 = 0.04x

x = 28/0.04

x = $700

Principal = x = $700

Answer:

c

Step-by-step explanation:

got it right on edjenuity

Answer:

x=216°

Step-by-step explanation:

100%=360°

To find 10% divide by 10

10%=36°

x4

40%=144°

in a full circle thered 360°

360-144=216°

x=216°

Answer:

$0.88 per pound

Step-by-step explanation:

you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound

Answer:

I think H=5g-2f÷3 ( I'm not sure at all sorry )

Answer:

A

We can see that the graph is shaded to the left of -1. This means that x is all values less than (<) -1, so C and D are incorrect. Additionally, since the dot is not filled in, this means that x is not going to be equal to -1, which eliminates B. This leaves A, x < -1.

Step-by-step explanation:

Answer:

31.5

cubic inches of sand will fit in the container because 4.5 x 3.5 • 2 = 31.5in.^3

Answer:

The area will be:

[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].

Step-by-step explanation:

Using the definition of tangent, we have:

[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]

We know that tan(α) = 1, then we can find AB

[tex]1=\frac{6}{\vec{AB}}[/tex]

[tex]\bar{AB}=6\: u[/tex]

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]

[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]

[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]

[tex]\bar{BC}=6\sqrt{3} \: u[/tex]

So, the base of the triangle will be:

[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]

The area of a triangle is given by the following equation:

[tex]A=\frac{b*h}{2}[/tex]

[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]

[tex]A=18(1+\sqrt{3})[/tex]

Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].

I hope it helps you!