A shape is being designed such that it is a combination of an isosceles triangle with a semicircle whose diameter is the base of the triangle. The isosceles triangle has legs that are 10 inches and a vertex angle that measures 40 degrees Determine the area of the semicircle to the nearest tenth
No links.

Step-by-step explanation:

[tex]56 = 2n + 99[/tex]

Collect like terms and simplify

[tex]56 - 99 = 2n \\ - 43 = 2n[/tex]

Divide both sides of the equation by 2

[tex] \frac{ - 43}{2} = \frac{2n}{2} [/tex]

Simplify

[tex]n = - \frac{43}{2} = - 21 \frac{1}{2} [/tex]

Answer:

[tex]f^{-1}(x)=\frac{1}{8}(x-4)^{3}[/tex]

Step-by-step explanation:

Given function is,

f(x) = [tex]\sqrt[3]{8x}+4[/tex]

To find the inverse of this function,

Rewrite the function as a equation,

y = [tex]\sqrt[3]{8x}+4[/tex]

Interchange x by y and y by x,

x = [tex]\sqrt[3]{8y}+4[/tex]

Now solve this equation for y,

x - 4 = [tex]\sqrt[3]{8y}[/tex]

(x - 4)³ = [tex](\sqrt[3]{8y})^3[/tex]

(x - 4)³ = 8y

y = [tex]\frac{1}{8}(x-4)^{3}[/tex]

Now convert the equation into function,

[tex]f^{-1}(x)=\frac{1}{8}(x-4)^{3}[/tex]

Answer:

c. 4x

Step-by-step explanation:

Answer:

684 meters 2

hope this helped

Answer: decreases

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

if x=5 then,

y=-6×1+11

=-6+11

=5

Answer:

5m^2 + 16k + 13m^2

(5m^2+13m^2) + 16k

18m^2 + 16k

Let me know if this helps!

Answer:

14

Step-by-step explanation:

The value of the account will reach to $1,830 in 15 years.

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded continuously after a certain period of time the mount becomes $1830

We know that,

[tex]A = P(1+r)^n[/tex]

Where, A = amount, P = principal, r = rate and n = time.

1830 = 770(1+0.061)ⁿ

1830 / 770 = (1.061)ⁿ

2.37 =  (1.061)ⁿ

Taking log both side,

log(2.37) = n log(1.061)

n = log(2.37) / log(1.061)

n = 14.57 ≈ 15

Hence, the value of the account will reach to $1,830 in 15 years.

For more references on Compound interest, click;

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Answer:

14

Step-by-step explanation:

8 - |-6| = 14

|| means absolute value, or the distance the number has from 0 on the number line. ex. |-92| = 92    |8| = 8

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:  8 feet!

Step-by-step explanation:

To find the width, we have to find out what number multiplied by 9 gives us 72.

The width of the mural is 8 feet!

Answer:

I believe your answer is b

Answer:

A ; g(x) = (1/2 x)^2

Step-by-step explanation:

Here, we want to get g(x)

we have a point on the curve g(x)

The point is represented by (2,1)

What this mean here is that, when x = 2, y = 1

Looking at the first option;

Substitute 1 for y and 2 for x

1 = (1/2 * 2)^2

1 = 1

This means this is our answer

The equation for g(x) is;

g(x) = (1/2 x)^2

Answer:

c

Step-by-step explanation:

x^4 * x^(4) = x^16

(x^2)^(4)=x^8

^(4)*^(4)=16

Answer:

1. x=5/4

2. x=-4

3. x= 9/10

Step-by-step explanation:

Let's solve your equation step-by-step.

−x+3=3x−2

Step 1: Subtract 3x from both sides.

−x+3−3x=3x−2−3x

−4x+3=−2

Step 2: Subtract 3 from both sides.

−4x+3−3=−2−3

−4x=−5

Step 3: Divide both sides by -4.

−4x/−4 = −5/ −4

x= 5/4

Answer:

x= 5/4 (5 over 4)

Let's solve your equation step-by-step.

1.5x−3=2.25x

Step 1: Subtract 2.25x from both sides.

1.5x−3−2.25x=2.25x−2.25x

−0.75x−3=0

Step 2: Add 3 to both sides.

−0.75x−3+3=0+3

−0.75x=3

Step 3: Divide both sides by -0.75.

−0.75x/−0.75=3/−0.75

x=−4

Answer:

x=−4

Let's solve your equation step-by-step.

−1/3x+2=3x−1

Step 1: Subtract 3x from both sides.

−1/3x+2−3x=3x−1−3x

−10/3x+2=−1

Step 2: Subtract 2 from both sides.

−10/3x+2−2=−1−2

−10/3x=−3

Step 3: Multiply both sides by 3/(-10).

(3/−10)*(−10/3x)=(3/−10)*(−3)

x=9/10

Answer:

x=9/10 (9 over 10)

Answer:

a.  rate to empty the tank = - 2/3 gal/min

b,  7.5 min to empty the tank

c.  4.5 min.

Step-by-step explanation:

I use the formula that the work done = rate of work times the time working = W = rt

The work in this problem is emptying the tank.  

a.  The rate to empty the tank is -2 gal/3 min or - 2/3 gal/min

b.   5/(2/3) = 15/2 = 7.5 min to empty the tank

c.    Since 3 gal. had already drained, 3/(2/3) = 9/2 = 4.5 min.

Answer: 15°

Step-by-step explanation:

Answer:

the domin{1,2,3}

the range{6,7}

and its a function

Step-by-step explanation:

Answer:

M=-9/8

Step-by-step explanation:

-3/8-3/4=-3/8-6/8=-9/8

Answer:

m = -9/8

Step-by-step explanation:

First, let's get m by itself by subtracting 3/4 from both sides:

m = -3/8 - 3/4

The least common denonimator between our two fractions is 8, so we can turn 3/4 into the equivalent fraction 6/8 to subtract our two fractions:

m = -3/8 - 6/8 = -9/8

Answer:

47

Step-by-step explanation:

Answer:

[tex]21cm^{3}[/tex]

Step-by-step explanation:

According to the problem, calculation of given data are as follows,

Volume of cylindrical vase = [tex]63cm^{3}[/tex]

As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,

Volume of cone = [tex]\frac{1}{3}[/tex] × Volume of cylindrical vase

By putting the value, we get

Volume of cone = [tex]\frac{1}{3}[/tex] × 63

Volume of cone = [tex]21cm^{3}[/tex]

Answer:

T is 1, S is 2, J is 3, D is 4 ... hope that helps : )

Answer:

Lollipops cost $0.25

Step-by-step explanation:

4C + 8L = $8.00

3C + 10L = $7.00.                  We need to cancel out chocolate bars

-12C - 24L = $-24.00        Mulitply by -3

12 C + 40L = $28.00           Muliply by 4          Next simplify

16L = $4.00                   Divide both sides by 16

L = $0.25

WE CAN EVEN CHECK OUR WORK

4C + 8(0.25) = $8.00

4C = $6.00

C = 1.5

3(1.5) + 10(.25) = $7.00

4.5 + 2.5 = 7

Answer:

6

Answer:

6+18

Step-by-step explanation:

HELP ME SOMEONE PLS ANSWER MY QUESTION FROM MY PROFILE.

Answer:

A

Step-by-step explanation:

the nice thing about triangle is that the smallest angle is always opposite the smallest side, etc. also, we can get the remaining angle because we have 2 angles already and there are always 180 degrees in a triangle.

50+ 63= 113

180-113 =67

so, 50 is the smallest angle and thus the side opposite of it is the smallest. next is side bc because 63 is the next biggest angle measure. lastly, side ac is the largest because it's opposite of the largest angle measure

Answer:

a

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

because the point is located at the number given the answer is b

Answer:

The area is 6 1/3

Step-by-step explanation:

The equation for finding the area of a rectangle is l x w.

w = 3 1/3

l = 4 3/4

3 1/3 x 4 3/4 = 6 1/3

So the area of the rectangle is 6 1/3

Answer:

No because you can split a tree

Step-by-step explanation: