4. The figure below shows three small circles, each with a diameter of 6 centimeters, inside a larger
circle.
.6.cm ....6.cm ..Y. 6 cm
What is the approximate area of the shaded part of the figure? Use 3.14 for .
A. 169.56 square centimeters
B. 678.24 square centimeters
C. 254.34 square centimeters
D. 226.08 square centimeters

Answer:

k = -3

Step-by-step explanation:

Given

Solving

Answer:

it will take 16 years to reach a population of 1800 and in 23 years the population will be 400.

Step-by-step explanation:

population: 5000

population decreasing: 200x

y=5000-200x

(1800-5000)/-200

(400-5000)/-200

Answer:

perimeter = 22 + 3π

area = 48 + (9/2)π

Step-by-step explanation:

perimeter = 8 + 6 + 8 + (1/2)(6π) = 22 + 3π

area = 8(6) + (1/2)(3^2)π = 48 + (9/2)π

Answer:

Heres the answer

Step-by-step explanation:

To calculate the ratio of an amount we divide the amount by total number of parts in the ratio then multiply the answer by original ratio.

Answer:190 mg of sodium in 1 oz of chips and 40 mg for 1 cup soda.

Step-by-step explanation:

Answer:

1. [tex]y = 4 * 2^x^+^1[/tex]

4. [tex]y = 2^x^+^3[/tex]

Step-by-step explanation:

First one:

[tex]y = 4 * 2^x^+^1\\y = 4 * 2^x * 2^1\\y = 8 * 2^x[/tex]

Fourth one:

[tex]y = 2^x^+^3\\y = 2^x + 2^3\\y = 8 * 2^x[/tex]

Answer:

Step 3

Step-by-step explanation:

-4(3)(-1)

Will be equal to a positive 12

Answer:

Tr2

Step-by-step explanation:

pie * radius * radius

Answer:

Step-by-step explanation:

The circumference of a circle is given to be 2πr, and its radius to be r.

Answer:

1.  total volume of box=2.5(V)D

2. 7 Drawers

Step-by-step explanation:

2.5 = V

so 1 draw = 2.5 cubic inches of volume

so V(2.5) × D(number of drawers) = total volume of drawers in the box

Answer:

1 - 60

Step-by-step explanation:

She needs to number each plant 1-60 and randomly select 10 plants.

The true statements for the parabola in the image are:

Mathematically, the standard equation of the directrix lines for a parabola is given by y = a(x - h)² + 2.

Given the following data:

Vertex (h, k) = (4, 3).

Point (x, y) = (8, 6).

Next, we would determine the distance where point (8, 6) lies on the parabola:

y = a(x - h)² + 2

6 = a(8 - 4)² + 2

6 = a(4)² + 2

6 = 16a + 2

16a = 6 - 2

16a = 4

a = 4/16

a = 1/4.

Therefore, the equation becomes:

y = 1/4(x - 4)² + 2

When x = 2, we have:

y = 1/4(2 - 4)² + 2

y = 1/4(-2)² + 2

y = 1/4(4) + 2

y = 1 + 2

y = 3.

In conlusion, the true statements regarding the parabola in the image are:

Read more on directrix here: https://brainly.com/question/2346582

#SPJ1

Answer: x=2, y=-1

Step-by-step explanation:

Step 1) Make both equations have the same coefficient

What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.

[tex](2)x - (2)2y = (2)4\\2x-4y=8[/tex]

Step 2) Add the equations together to eliminate y

[tex]2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10[/tex]

Step 3) Solve for x

[tex]\frac{5x}{5} =\frac{10}{5} \\x=2[/tex]

Step 4) Sub the value of x into an equation and solve for y

[tex]x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1[/tex]

Answer:

$4.56

Step-by-step explanation:

22.80/5 = 4.56

Answer:

Step-by-step explanation:

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

let us first start with some basic information ~

A fraction can be represented as [tex]\frac{x}{y}\\[/tex] where ,

x is the numerator and y is the denominator !

the question asks us to do something that will help us get same denominator for both the terms !

so let's see what we should do in such a case ~

[tex] \frac{9}{10} \: and \: \frac{7}{8} \\ \\ \\ lets \: make \: the \: denominator \: of \: both \\ the \: terms \: reach \: 80 \: , \\ \\ \bold\orange{ \implies \: \frac{9}{10} \times \frac{8}{8} = }\bold\red{ \frac{72}{80}} \\ \\\bold\orange{ \implies \: \frac{7}{8} \times \frac{10}{10} =}\bold\red{ \frac{70}{80}} [/tex]

and we're done !

let's add some more info to be lil more clear ~

while converting the denominator of both the terms , we must multiply the same number ( this number refers to the one we'll have to multiply to the denominator to obtain the desired result ) with the denominator as well as with the numerator !

hope helpful :D

Answer:

Step-by-step explanation:

you have to multiply first fraction with '8' and second fraction with '10' :

the fractions will become 72/80 and 70/80 then you can compare it

Answer:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

A, B, C, ZBAC=90°

AB=4.2mm

CA=1.5mm,

DP

mm

BC

hope this helps

Answer:

BC = 4.5 (1 dp)

Step-by-step explanation:

Pythagoras’ Theorem

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting these into the formula and solving for BC:

[tex]\implies 1.5^2+4.2^2=BC^2[/tex]

[tex]\implies 2.25+17.64=BC^2[/tex]

[tex]\implies BC^2=19.89[/tex]

[tex]\implies BC=\pm\sqrt{19.89}[/tex]

As distance is positive,

⇒ BC = 4.5 (1 dp)

area is 36...............

Answer:

Yes

Step-by-step explanation:

You can test if a triangle is right-angled by using Pythagoras' Theorem.

So:

[tex]4^2 + 7.5^2 = 8.5^2[/tex]

16 + 56.25 = 72.25

They do in fact add up so this triangle is right angled.

Distance formula: distance = sqrt((x2-x1)^2 + (y2-y1)^2)

distance = sqrt((-2 - -9)^2 + (-2 - -6)^2)

Distance = sqrt( 7^2 + 4^2)

Distance = sqrt(49+ 16)

Distance = sqrt(65)

Answer is c. Sqrt(65)

Answer: the answer is c which square root 65

Step-by-step explanation: hope it is correct .

The hypotenuse is equal to the square of the other two sides. The length of AC from the diagram is 21.9feet

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

Given the following

Hypotenuse = 26 feet = CD
Base side = AD = 14ft

Required

Length AC

Use the theorem

26^2 = 14^2 + AC^2

AC^2 =  676 - 196
AC^2 = 480
AC = 21.9feet

Hence the length of AC from the diagram is 21.9feet

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Answer:

Given circle E with diameter CD and radius EA. AB is tangent to E at A. If
CD = 8, solve for AD. Round your answer to the nearest tenth if necessary. If the
answer cannot be determined, click "Cannot be determined.

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

(-5,-2)

(-4,-3)

(-6,-1)

Step-by-step explanation:

-5(x)-2(y)=-7

-4(x)-3(y)=-7

-6(x)-1(y)=-7

Answer:

[tex]2248\frac{1}{4}[/tex]

Step-by-step explanation:

given: [tex]3\frac{1}{8} * 90[/tex]

now, we turn both into improper fractions:

25/8 * 90/1 :: [tex]\frac{25}{8} * \frac{90}{1}[/tex]

now we multiply across

[tex]\frac{25}{8} * \frac{90}{1} = \frac{2250}{8}[/tex]

now turn into a mixed number:

[tex]\frac{2250}{8} = 2248\frac{2}{8}[/tex]

simplify! :

[tex]2248\frac{1}{4}[/tex]

Answer:

Step-by-step explanation:

going by the assumption tha the radius is 10inches.

area would be pi r^2

which would be pi(10)^2 = 100pi =314.16 (rounded)

Answer:

The answer would be $14 a sweater.
And S=42*3 (If * is a divide by sign)

Step-by-step explanation:

Step 1. Find the equation. If $42 is total then we know to to divide that number by three getting the equation S=42*3.
Step 2. Do the math. 42 divided by 3 is 14, meaning 14 dollars per sweater.
I hope this helps! :)

Answer:

40 minutes

Step-by-step explanation:

I think this is the correct answer

I hope I helped you

sorry if I got it wrong btw