What is the surface area of the sphere shown below with a radius of 6?

Answer:

x = 6

Step-by-step explanation:

2x - 5 = 7

Add 5 on both sides.

2x - 5 + 5 = 7 + 5

2x = 12

Divide both sides by 2.

2x/2 = 12/2

x = 6

Answer:

D: 502.65 in²

Step-by-step explanation:

The volume is h·π·r² where h=10 and r = 8/2 = 4.

So that is 160π ≈ 502.6548

Answer:

212

Step-by-step explanation:

3m² + 2p² - 15

= 3 * 3² + 2 * 10² - 15

= 27 + 200 - 15

= 212

Answer:

Use a graphing calculator.

Step-by-step explanation:

Graph:

f(x) = -4√x

━━━━━━━☆☆━━━━━━━

▹ Answer

f(x)  = -4√x

▹ Step-by-Step Explanation

You can use a graphing calculator as the previous answer suggested as well. The image is attached below.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Hey there! :)

Answer:

4 - 40i

Step-by-step explanation:

Subtracting the two expressions:

(7 - 10i) - (3 + 30i)

Distribute the negative sign:

7 - 10i - 3 - 30i

Combine like terms:

4 - 40i

Answer:

4 - 40i.

Step-by-step explanation:

(7 - 10i) – (3 + 30i)

= 7 - 10i - 3 - 30i

= 7 - 3 - 10i - 30i

= 4 - 40i

Hope this helps!

Answer:

(a)80 degrees and 100 degrees

(b)58 degrees and 122 degrees.

(c)36 degrees and 54 degrees

(d)50 degrees and 40 degrees

(e)150 degrees

(f)70 degrees and 110 degrees

(g)60 degrees

Step-by-step explanation:

Definitions

(a)

If 4x and 5x form a linear pair, then:

4x+5x=180

9x=180

x=20

The angles are 80 degrees and 100 degrees respectively.

(b)

If (2x - 10) and (3x + 20) are a linear pair, then:

2x-10+3x+20=180

5x+10=180

5x=180-10

5x=170

x=34

The angles are:

2x-10=2(34)-10=58 degrees

3x+20=3(34)+20=122 degrees.

(c)

A pair of complementary angles are in the ratio 2:3

The angles will be:

[tex]\dfrac{2}{5} \times 90^\circ =36^\circ\\\dfrac{3}{5} \times 90^\circ =54^\circ[/tex]

(d)

The difference of complementary angles is 10°

Let the first angle =x

Let the second angle =y

Difference: x-y=10

Since they are complementary, x+y=90

Solving the two simultaneously

[tex]x-y=10\\x+y=90\\-----\\2x=100\\x=50^\circ\\$Recall: $x-y=10\\50-y=10\\y=50-10\\y=40^\circ[/tex]

The two angles are 50 degrees and 40 degrees respectively.

(e)If an angle is 5 times its supplement

Let the supplement =x

The other angle =5x

Therefore:

5x+x=180

6x=180

x=30

The angle will then be: 5 X 30 =150 degrees

(f)If one angle is 40 more than the other and the two angles are supplementary

Let the first angle be x

The second angle will be: x+40

x+x+40=180

2x=180-40

2x=140

x=70

The two angles are 70 and 110 degrees respectively.

(g)

Let the angle =x

Its Supplement = 180 -x

Its complement =90 -x

The supplement of the angle is four times its complement.

180-x=4(90-x)

180-x=360-4x

4x-x=360-180

3x=180

x=60

The angle is 60 degrees.

Answer:

Step-by-step explanation:

Stephan can run

3 miles in 15.75 minutes

1 miles in 15.75/3 minutes

1 miles in 5.25 minutes

Kelsha can run

5 miles in 226 minutes

1 miles in 226/5 minutes

1 miles in 45.2 minutes

Stephan can run faster, since 5.25 < 45.2

Stephan can run faster, than Kelsha since 5.25 < 45.2.

Speed is defined as the ratio of the distance traveled by the body to the time taken by the body to cover the distance. The unit of speed is measured in a meter per second, Miles per second, etc. Speed is a scalar quantity and does not require direction.

The speed for Stephan will be calculated as below:-

3 miles in 15.75 minutes

1 mile in 15.75/3 minutes

1 mile in 5.25 minutes

The speed for Kelsha will be calculated as below:-

5 miles in 226 minutes

1 mile in 226/5 minutes

1 mile in 45.2 minutes

Therefore, Stephan can run faster, than Kelsha since 5.25 < 45.2.

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Answer:

0.03333333333333

Step-by-step explanation:

1/6 = 0.1666666666666

0.16666666666666 / 5 = 0.03333333333

Answer:

£616

Step-by-step explanation:

700 - 12% = 616

616 is 12% less than 700

Answer:

380 square inches

Step-by-step explanation:

We are given the measurements of the Rectangular Prism as

8 inches by 9 inches by 10 inches

Where based on the order of arrangement:

8 inches = Length

9 inches= Width

10 inches = Height

Step 1

Find the amount of wrapping paper needed

Perimeter = 2L + 2W

= 2 × 8 + 2 ×9

= 16 + 18

= 34 inches

Base = L × W

= 8 × 9

= 72 inches

Surface Area of the Rectangular Prism =PH + 2B

Where P = Perimeter

H = Height

B = Base

= 34 × 10 + 2× 72

= 340 + 144

= 484 square inches

The area of the Rectangular prism = 484 square inches

Step 2

So we were told that she used wrapping paper the measured 2 feet by 3 feet.

We would convert the values in feet to inches

1 ft = 12 inches

Length = 2 ft = 2 × 12 = 24 inches

Width = 3 ft = 3 × 12 = 36 inches

We find the area of the wrapping paper

Length × Width = 24inches × 36 inches = 864 square inches.

Step 3

The amount of square inches of wrapping paper left over is calculated as:

Area of the wrapping paper used - Area of the Rectangular prism

= 864 square inches - 484 square inches

= 380 square inches.

Therefore, the amount of square inches of wrapping paper left over is 380 square inches.

Answer:

The answer is option D.

Step-by-step explanation:

Because -3/-5 = 3/5 since the negative sign cancel each other.

Hope this helps you

Answer:

The fourth  option

Step-by-step explanation:

-3/5 is the same as - 3/5 or 3/-5 (it doesn't matter where the negative sign goes-on the side, numerator, or denominator)

-(-3/-5) is basically negative of -3/-5

-3/-5 is the not the same as -3/5

Answer:

[tex] \frac{1}{3000} [/tex]

Step-by-step explanation:

calculator

Answer:

Range: y ≥ -1

Step-by-step explanation:

The are no limits on the domain because x can be any value

( x-3) ^2 must be greater than or equal to zero since it is squared

0 -1 = -1

The smallest value the range can be is -1

y ≥ -1

Answer:

u = 14

t =8

Step-by-step explanation:

To make the triangles congruent

3u = u+28

Subtract u

3u-u = u+28-u

2u = 28

Divide by 2

2u/2 = 28/2

u = 14

12t = 16t -32

Subtract 16t

12t-16t = 16t-32-16t

-4t = -32

Divide by -4

-4t/-4 = -32/-4

t = 8

Answer:

t = 8

u = 14

Step-by-step explanation:

For the triangles to be congruent, the sides must be equal.  Set each side on the first triangle equal to the corresponding side on the second triangle.  

Solve.

u + 28 = 3u

28 = 2u

14 = u

12t = 16t -32

-4t = -32

t = 8

The two values for t and u are 8 and 14, respectively.

Answer:

Step-by-step explanation:

The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).

Note how 16 - 3 = 13, which is the coefficient of the middle term.  Thus, the factors are

(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.

The factored form of the given polynomial  is (x - 3)(x + 6)

Since the equation is [tex]x^2 + 13x - 48[/tex]

Now

The four-term polynomial is

[tex]x^2 + 16x - 3x - 48[/tex]

x(x + 16) - 3(x + 16)

(x - 3)(x + 6)

Here polynomial represents the expression that includes the additions, subtraction, etc

Therefore, The factored form of the given polynomial  is (x - 3)(x + 6)

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Question:

If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___  and tan(θ) =___.

Answer:

[tex]Sin\theta = \frac{-15}{17}[/tex]

[tex]Tan\theta = \frac{15}{8}[/tex]

Step-by-step explanation:

Given

cos(θ) =-8/17

Required

sin(θ) = __

tan(θ) =__

The first step is to determine the length of the third side

Given that

[tex]cos(\theta) = \frac{Adj}{Hyp}[/tex]

Where Adj and Hyp represent Adjacent and Hypotenuse

[tex]cos(\theta) = \frac{-8}{17}[/tex]

By comparison

[tex]Adj = -8\ and\ Hyp = 17[/tex]

Using Pythagoras

[tex]Hyp^2 = Adj^2 + Opp^2[/tex]

By Substitution

[tex]17^2 = (-8)^2 + Opp^2[/tex]

[tex]289 = 64 + Opp^2[/tex]

Subtract 64 from both sides

[tex]289 - 64 = 64 - 64 + Opp^2[/tex]

[tex]225 = Opp^2[/tex]

Take square roots of both sides

[tex]\sqrt{225} = \sqrt{Opp^2}[/tex]

[tex]\sqrt{225} = Opp[/tex]

[tex]15 = Opp[/tex]

[tex]Opp = 15[/tex]

The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

[tex]Opp = -15[/tex]

From trigonometry

[tex]Sin\theta = \frac{Opp}{Hyp}[/tex]

[tex]Sin\theta = \frac{-15}{17}[/tex]

Also from trigonometry

[tex]Tan\theta = Sin\theta / Cos\theta[/tex]

[tex]Tan\theta = \frac{-15}{17} / \frac{-8}{17}[/tex]

[tex]Tan\theta = \frac{-15}{17} * \frac{-17}{8}[/tex]

[tex]Tan\theta = \frac{-15 * -17}{17 * 8}[/tex]

[tex]Tan\theta = \frac{15 * 17}{17 * 8}[/tex]

[tex]Tan\theta = \frac{15}{8}[/tex]

Answer:

The two answers are

(a) Leena consumed 1,500 calories at dinner.

(b) The equation 2/3 (x+400+350)= x can be used to model the situation.

Step-by-step explanation:

Answer:

A)Leena consumed 1,500 calories at dinner.

B)The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.

Step-by-step explanation:

Answer:

OC is not a function

Step-by-step explanation:

It's not a function because the x cannot repeat.

Answer:

The yearly growth percentage is 5%

The worth of the company in 2010 is 433 million of dollars approximately

Step-by-step explanation:

The annual growth percentage;

We can write the equation of w as follows;

W = 266 (1 + 0.05)^t

Compare this with ;

W = I(1 + r)^t

Where W is the worth at a particular year

I is the initial worth at year 2000

r is the rate of increase per year

and t is the time since 2010

where it is the 0.05 that represents the yearly growth percentage (r)

0.05 as a percentage is 5/100 which is 5%

Now, we want to calculate the worth of the company in the year 2010

The first thing to do here is to calculate the value of t.

The value of t is the difference between the years 2000 and 2010 and that is 2010-2000 = 10 years

Now to find the worth at 2010, simply substitute that value of t = 10 in the equation

Thus;

W = 266(1.05)^10

W = 433.2859707228

Which is approximately 433

Answer:

r = -4

Step-by-step explanation:

If M is the midpoint of DE, that would mean that the distance from M to D and M to E would be the same.

This creates the equation 1-8r=13-5r.

Now it's just simple algebra.

You add 8r to both sides, creating 1=13+3r. Then, you subtract 13 from both sides, getting 3r=-12. Dividing both sides by 3 and solving for r, you get r=-4.

Checking our answer, you see that 1-8(-4)=1-(-32)=1+32=33, and 13-5(-4)=13-(-20)=13+20=33.

Answer:

Step-by-step explanation:

Let s represent the speed of the bus.

From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as

Speed, s = distance covered by the bus/ time taken to cover the distance

Therefore,

Speed, s = 240/5 = 48 km/hr

A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be

s ≥ 48

Answer:

71

Step-by-step explanation:

Because this triangle is an isosceles, the base angles are equal

the top angle is 38 and triangles add up to 180

so 180-38=142

then divide that by 2

which is 71 so x=71

Answer:

volume of the sphere

=4/3π × r³

=4/3π × 3 × 3 × 3

=4/3π × 27

=36π ( c )

The value of volume of the sphere shown with a radius of 3 is,

⇒ 36π units³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, We know that;

volume of the sphere is,

V = 4/3π × r³

Here, We have;

r = 3

Hence, We get;

V = 4/3π × 3 × 3 × 3

= 4/3π × 27

=36π

Thus, The value of volume of the sphere shown with a radius of 3 is,

⇒ 36π units³

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Answer: The answer is given below

Step-by-step explanation:

From the question, we are informed that the money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Therefore, the formula for the money he can spend will be:

m = w - t

The amount of money that he has to spend if he earns £120 a week and pays £41 in tax will be:

m = w - t

m = £120 - £41

m = £79

Answer:

B.

Step-by-step explanation:

Well if the y intercept is -5 and the y intercept is the point on the line that touches the y axis we can cross out choices C. and D..

And the slope is positive so we can cross out A. So the final answer is B.

Answer:

B

Step-by-step explanation:

We can solve this by reasoning:

GIven that the equation is f(x) = (1/2)x - 5

we first notice that the gradient (represented by the x-coefficient) is (1/2). Because it is a postie value, we expect the graph to have a positive slope (i.e going from bottom left to top right).

By observing the choices, only B and C have this gradient, hence we can ignore A and C

Further, we can see that the constant term in the equation is (-5), this means that the y-intercept occurs at y = -5.

We can see that for C, the graph crosses the y-axis at y = 5, Hence we can ignore C, leaving B as the correct answer

Step-by-step explanation:

Plug in each value of x into the equation and find y:

[tex]\left[\begin{array}{cc}x&y\\-2&(-2)^{2}-2(-2)+5=13\\-1&(-1)^{2}-2(-1)+5=8\\0&(0)^{2}-2(0)+5=5\\1&(1)^{2}-2(1)+5=4\\2&(2)^{2}-2(2)+5=5\\3&(3)^{2}-2(3)+5=8\end{array}\right][/tex]

Answer: 9.53x10^-5

Step-by-step explanation:

Scientific notation means the coefficient must be between 0 and 10 and preferably without zeros because they are implied. move the decimal 5 times to the right to get 9.53 as your coeifficient and state the movement of the decimal

Answer:

Hello!

____________________-

0.000095 = 9.53 x 10^-5

Step-by-step explanation:

Hope this helped you!

Based on the information given, the composition of transformations that will bring about a pair of similar, not congruent triangles is D. a rotation, then a dilation.

A congruent triangle simply means when two triangles have exactly the same side and angles.

Therefore, the composition of transformations that will bring about a pair of similar, not congruent triangles is a rotation, then a dilation.

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