The figure below shows a sphere with its center at O. The points A, B, C, and D are on the
surface of the sphere.
How many tangents to the sphere have been shown in the figure?
A. 0
B. 1
C. 2
(D. 3

Answer:

c)  9

Step-by-step explanation:

[tex]\textsf{Surface area of a cylinder}=2\pi r^2+2\pi rh[/tex]

(where r is the radius and h is the height)

Given:

Substitute given values into the equation to find the surface area:

[tex]\begin{aligned}\implies \textsf{Surface area} & =2\pi (15)^2+2\pi (15)(48)\\ & =1890 \pi\: \sf in^2\end{aligned}[/tex]

To calculate the number of cans of paint to be bought, divide the surface area by the area one can of paint will cover:

[tex]\implies \dfrac{1890 \pi}{720}=8.246680716...[/tex]

We need to round this number up, as rounding down will mean we will not have quite enough paint to cover the surface area of the cylinder.

Therefore, the numnber of cans of paint that must be bought to completely cover the tank with one coat of paint is 9.

Answer:

dimensions 20cm x80cm

Step-by-step explanation:

length is 4W of 1W,

LxW=area of 1600

4W x 1W = 1600cm2

divide both by 4 to isolate W

W=400cm2

square root of 400=20

replace W with 20 into equation 4Wx1W

4x20=80

1x20=20

80 is 4x the width of 20

Answer:

Step-by-step explanation:

Lateral Surface Area of the Cylindrical Part

Slant height of cone

Surface Area of Conical Portion

Total Surface Area :

Volume

Hope it helps.

If you have any query, feel free to ask.

Answer:

true

Step-by-step explanation:

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450     = $45

7.65% on $450 = $34.43

Total                   = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

Learn more about FICA Tax at:
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Answer:

[tex]10x + 10x^{2} + 2x\\= 10x + 2x + 10x^{2}\\= 12x + 10x^{2}\\= \boxed{2x(6 + 5x)}[/tex]

Given Expression,

We can also write it as,

Now, Combining the like terms,

We simplified the expression.

If you want it to factorise it,

⇒10x² + 12x

⇒ 2x(5x + 6)

This is required factorised expression

The relative frequency table is a two way table, and the value of y in the relative frequency table is 27%

From the complete question, we have the following row

y    24%   51%

Express the row as an equation

y + 24% = 51%

Subtract 24% from both sides

y + 24% - 24%= 51% - 24%

Evaluate the difference

y = 27%

Hence, the value of y in the relative frequency table is 27%

Read more about relative frequency table at:

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Hello ~

My name is lrxdscent, and I will be answering your question today! :D

Let's go by step-by-step ~

[tex]\sf{= -52x}[/tex]

[tex]\sf{26x \: (-5 \: + \: 3)[/tex]

[tex]\sf{Add \: the \: numbers: \: -5 \: + \: 3 = -2}[/tex]

[tex]\sf{= 26x \: (-2)[/tex]

[tex]\sf{Multiply \: the \: numbers: \: 26 \: (-2) \: = \: -52}[/tex]

[tex]\sf{= -52x}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer:

x = 6

Step-by-step explanation:

7x = 42

Divide both sides by 7

x = 6

Answer: 49x I am pretty sure

Step-by-step explanation: you take 7 + 42= 49 then you put the x there

Then your answer should be correct please dont be mad if its not correct!!

Answer:

B. -2

Step-by-step explanation:

The radius of the softball is 2.5 inches

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume is 125/6 pi

Substituting in

125/6 pi = 4/3 pi r^3

Divide by pi on each side

125/6 pi/ pi = 4/3 pi/ pi r^3

125/6 = 4/3  r^3

Multiply by 3/4 on each side to isolate r

125/6 * 3/4 = 3/4 *4/3  r^3

125/8 = r^3

Take the cube root on each side

(125/8) ^ 1/3 = (r^3) ^ 1/3

5/2 = r

2.5 =r

The radius of the softball is 2.5 inches

Answer:

[tex]\huge\boxed{\sf r = 2.5 \ in.}[/tex]

Step-by-step explanation:

[tex]\sf Volume \ of \ sphere = \frac{4}{3} \pi r^3\\\\Where \ volume = \frac{125 \pi }{6 } \ in.^3\\\\Put \ in \ the \ above\ formula:\\\\\frac{125 \pi}{6} = \frac{4}{3} \pi r^3\\\\Cancel \ pi\\\\\frac{125}{6} = \frac{4}{3} r^3\\\\20.83 = 1.33 r^3\\\\Divide \ 1.33 \ to \ both \ sides\\\\20.83/1.33 = r^3\\\\15.625 =r^3\\\\Take \ cube \ root \ on \ both \ sides\\\\\sqrt[3]{15.625} = \sqrt[3]{r} \\\\2.5 = r\\\\[/tex]

[tex]\sf r = 2.5 \ in.\\\\\rule[225]{225}{2}[/tex]

Answer:

It should somewhat look like the graph below...

Hope it helps!

Answer and Explanation:

Sara's sample is biased, she's only taking people that naturally would pull out their phones as they are waiting for a bus to arrive.

Sara's claim is not valid, the sample is too small and biased to be applied to her whole town.

Solution

x=\frac{-5 \pm \sqrt{13}}{6}

Answer:

[tex]\huge\underline{Answer - }[/tex]

[tex]\bold{8 = - x + 10} \\ \\ \bold{\implies \: - x = 8 - 10} \\ \\ \bold{\implies \: \cancel - x = \cancel - 2 }\\ \\ \bold{\implies x\: = 2}[/tex]

hence , the given statement is true !

hope helpful ~

Answer:

Step-by-step explanation:

So, Lets find out if the solution is true or not, So first let us find the value of x.

⇒ 8 = -x + 10

We can rewrite the equation as,

⇒ -x + 10 = 8

Subtracting 10 from both sides we get :

⇒ -x + 10 – 10 = 8 – 10

⇒ -x = -2

Multiplying both sides by (-1) :

⇒ -1(-x) = -1(-2)

⇒ x = 2

Therefore,

Answer:

the fourth option

Step-by-step explanation:

due to the range and median the range is 4 to 17 and the median is 10

Answer: (not sure)

right

median

range the iqr

If the number of the edges of the polyhedron is 14 and the vertices are 9. Then the number of the faces of the polyhedron is 7.

A polyhedron is a solid made composed of polygons in three dimensions. It has vertices, flat faces, and straight edges.

We know the Euler's formula

F + V - E = 2,

where, F = number of faces, V = number of vertices, and E = number of edges

Edges: 14

Vertices: 9

F + 9 - 14 = 2

            F = 14 + 2 - 9

            F = 16 - 9

            F = 7

Then the number of the faces of the polyhedron is 7.

More about the polyhedron link is given below.

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Answer:

Step-by-step explanation:

I don't know if it's correct

The probability that the event management company will sign the contract with the dance studio is; c. 0.024

The general formula for binomial Probability is;

P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾

From the question, we want to find;

P(X = 75)

where;

Sample size; n = 120 and probability of success; p = 0.69

Thus, we have;

P(X = 75) = ¹²⁰C₇₅ * 0.69⁷⁵ * (1 - 0.69)⁽¹²⁰ ⁻ ⁷⁵⁾

P(X = 75) = 0.024

Read more about Binomial Probability at; https://brainly.com/question/2879525

Answer:

First you add 1/3 and 4/5

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get: 5/15 +12/15

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:

5+12/15 which is 17/15

That's the sum of 1/3 + 4/5.

Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:

17*7/15*1  and you get 119/5

Since 119 and 15 don't have a common factor, so they can't be simplified.

So, the answer is 119/15.

Answer:

The volume of c. figure is equal to 90 cm³

Step-by-step explanation:

These are the cuboids

The volume of a cuboid = l×b×h

A. 2×6×5

=> 60 cm³

B. 8×2×4

=> 64 cm³

C. 5×6×3

=> 90 cm³

D. 3×7×2

=> 42 cm ³

so, the volume of c. cuboid is equal to 90 cm ³

Answer:

$28.92

Step-by-step explanation:

Find the discount

28.99 × 0.05 = 1.4495

28.99-1.4495 = 27.5405

Calculate the tax of the discounted item

27.5405 x 0.05 = 1.377

27.5405 + 1.377 = 28.9175

Answer:

(-7,-3)

Step-by-step explanation:

explained in graph :)

Step-by-step explanation:

I edit this on computer, because I have class later

Answer:

see explanation

Step-by-step explanation:

There are 4 sections on the spinner so each option is 1/4

1) 4 Ds = 1/4 × 1/4 × 1/4 × 1/4 × 3/4 × 3/4 = 9/4096

the other two spins can be A, B, or C (3/4)

2) 2As = 1/4 × 1/4 × 3/4 × 3/4 × 3/4 × 3/4

the other two spins can be B, C, or D (3/4)

3) 2As = 1/4 × 1/4 = 1/16    OR means add

   3Bs = 1/4 × 1/4 × 1/4 = 1/64

1/16 + 1/64 = 5/64

4) at least 4 Cs = 1/4 × 1/4 × 1/4 × 1/4 =1/256

Answer:

2/7 or 29%

Step-by-step explanation:

you add all the numbers than you put the blue marble on top and there it is.

Answer:

2/7

Step-by-step explanation:

Hello there.

1. First, you would add all the numbers up to get the total.

3 + 2 + 2 = 7 total marbles

2. Of those 7 marbles, 2 are blue. This would be 2/7 in fraction form.

Hence, there is a 2 in 7 chance that Sandra will choose a blue marble from the bag.

Hope this helps.

- Angelo

Answer: hii

The Answer is = -4/5

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Hopefully this helps you

- Matthew

Answer:

Step-by-step explanation:

7x+103=180

180-103=77

77=7x

77/7=x        x=11

<W: 55-23=32

<v: 58

<x:90