Which is the correct equation of the line for the following graph?

Diameter of the circle in the middle = 8 ft

Radius of the circle in the middle :

[tex] =\tt \: \frac{Diameter }{2} [/tex]

[tex] =\tt \frac{8}{2} [/tex]

[tex] =\tt 4 \: ft[/tex]

Thus, the radius of the circle in the middle = 4 ft

Area of the entire circle :

[tex] =\tt \pi {r}^{2} [/tex]

[tex] = \tt3.14 \times 4 + 6 \times 4 + 6[/tex]

[tex] = \tt3.14 \times 10 \times 10[/tex]

[tex] =\tt 3.14 \times 100[/tex]

[tex]\color{plum} = \tt314 \: ft[/tex]

Thus, the area of the entire circle = 314 ft

Area of the circle in the middle :

[tex] =\tt \pi {r}^{2} [/tex]

[tex] =\tt 3.14 \times 4 \times 4[/tex]

[tex] = \tt3.14 \times 16[/tex]

[tex]\color{plum} =\tt 50.24 \: ft[/tex]

Thus, the area of the circle in the middle = 50.24 ft

Area of the shaded portion :

= Total area of the figure - Area of the circle in middle

[tex] =\tt 314 - 50.24[/tex]

[tex]\color{plum} =\tt 263.76 \: ft[/tex]

▪︎Therefore, the area of the shaded portion = 263.76 ft

Answer:

Student B's score has a greater variation from the mean than student A's score

Step-by-step explanation:

Student A : standard deviation = 5.4

Student B : standard deviation = 10.6

The standard deviation is used to measure the degree of variability of a measured value from the mean or average value of the set. The higher the value of standard deviation, the greater the variabilityabiut the mean. Hence for the question given above, Student B's score varies greatly from the mean Than student A's score.

Answer:

X=45

Step-by-step explanation:

45+3x=180

180-45=135

135/3=45

x has to be 45

x=45

Answer:

y=16x ??

Step-by-step explanation:

Answer:

=11x+5

Step-by-step explanation:

Let's simplify step-by-step.

2x+3+9x+2

Combine Like Terms:

=2x+3+9x+2

=(2x+9x)+(3+2)

=11x+5

Answer:

=11x+5

Answer:

Point C

Step-by-step explanation:

Points are read as (x, y).

This means that 2 = x and y = 3.

X is the bottom line, whilst Y is the line going up.

Answer:

$105.45

Step-by-step explanation:

$7.40 x 14.25 = $105.45

She earns $105.45 after working for 14.25 hours.

The answer for the first equation x + 5y = 0 is,

[tex]x = - 5y[/tex]

Answer:

I'm not to sure but I think A. or D. I'm so sorry if I'm wrong

The most representative sample of the population of convention participants is:

B. Surveyors stand outside local attractions and ask arriving guests if

any member of their family is in town for a convention,

A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful.

B. Surveyors stand outside local attractions and ask arriving guests if

any member of their family is in town for a convention,

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Answer:

Step-by-step explanation:

we will calculate first the sales tax

706.95*(9.75/100)=68.93

706.95+68.93= $775.88

Answer:

x= -8, 9 1/4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

do like this i think answer is correct

Answer:

78 squared feet

Step-by-step explanation:

area= base x height

so 6 x 13 = 78

and yeah

HOPE I HELPED:))

your answer is 91 square feet

Answer:

16 years approx

Step-by-step explanation:

Given data

P=$3000

r= 6%

A= $7700

t= ??

The compound interest formula is

A= P(1+r)^t

Calculate time, solve for t

t = ln(A/P) / r

substitute

t= ln(7700/3000)/0.06

t= ln(2.566)/0.06

t= 0.942/0.06

t= 15.7

The time is 16 years approx

Answer:

2x + 3/10

Step-by-step explanation:

2/5 (10x + 3/4) - 2x = 4x + 3/10 - 2x = 2x + 3/10

Answer:

1,2,5 equal 32

Step-by-step explanation:

Answer:

(2³×4)+(11-11)5

4²×2

2^5

Step-by-step explanation:

(2³÷4)+(11-11)5

=(8×4)+0

=32

4²×2

=16×2

=32

2^5

=2×2×2×2×2

=4×4×2

=16×2

=32

Answer:

b=15

Step-by-step explanation:

8²+b²=17²

b²=225

b=15

Answer:

16.

Step-by-step explanation:

What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.

Here is our equation: 75/100 x 64 = 48.

So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.

So the price of the wedding cake during the sale is 16.

Answer: Reflexive

Step-by-step explanation:

The property that illustrated by the following statement is D.  Symmetric

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

The symmetric property of congruence says, for objects A and B,

 if A ≅ B, then B ≅ A.

The symmetric property of congruence makes the  statement true:

 if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA

Here properties:

 Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA

 Commutative , the operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)

 Transitive -- if A ≅ B and B ≅ C, then A ≅ C.

Learn more about the Symmetric

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y=x+5

Step-by-step explanation:

The opposite of y is x axis

Answer: = − 1

Step-by-step explanation:

Answer:

[tex]r = 5[/tex] --- Radius

[tex]h = 3.9[/tex] --- Height

Step-by-step explanation:

Given

Shape: Cone

[tex]Volume = 97in^3[/tex]

Required

Determine different possible values of radius and height

The volume (V) of a cone is calculated as:

[tex]V = \frac{1}{3}\pi r^2h[/tex]

Substitute 97 for V

[tex]97 = \frac{1}{3}\pi r^2h[/tex]

Multiply both sides by 3

[tex]3 * 97 = \frac{1}{3}\pi r^2h*3[/tex]

[tex]291 = \pi r^2h[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]291 = 3.14* r^2h[/tex]

Divide both sides by 3.14

[tex]\frac{291}{3.14} = \frac{3.14* r^2h}{3.14}[/tex]

[tex]\frac{291}{3.14} = r^2h[/tex]

[tex]92.68 = r^2h[/tex]

From the question, we understand that:

[tex]r \ne h[/tex]

So, we have to assume a value for either r or h and then solve for the other variable.

Let [tex]r = 5[/tex]

So, We have:

[tex]96.28 = 5^2 * h[/tex]

[tex]96.28 = 25 * h[/tex]

Make h the subject

[tex]h = \frac{96.28}{25}[/tex]

[tex]h = 3.8512[/tex]

[tex]h = 3.9[/tex] --- approximated

Note that there are other different possible values of h that is true for

[tex]92.68 = r^2h[/tex] where [tex]r \ne h[/tex]

Answer:

24-(L times 2) then divide the awnser by 2

Step-by-step explanation:

Answer:

2(l+b)

2*4+2*b=24

8+2b=24

2b=24-8

2b is 16 so b is 16/2

which is 8

Answer:

31 tests.

Step-by-step explanation:

The rate for the grading is 10.5 every 30 minutes.

Two 45 minute prep periods are 90 minutes.

90 / 30 = 3.

Since three 30 minute periods fit into 90 minutes, we get

3 x 10.5 = 31.5 tests.

Since a teacher did not finish grading the .5 of the test, we don't count it.

Our answer is 31 tests.

Answer:

Step-by-step explanation:

its c

Answer:

English translate please so i can help you?

Step-by-step explanation:

Answer:

X + 2y = 6

first point : ( 0,3 )

second point : ( 4,1 )

third point : ( 2,2 )

forth point : ( 6,0 )

2x + 4y = 4

first point : ( 0,1 )

second point : ( 2,0 )

third point : ( -2,2 )

forth point : ( -4,3 )

Answer:

answer is 8

Step-by-step explanation: