Im sorry but this due today

Answer:

4th option

10x + 32 / x(x+8)

Step-by-step explanation:

Answer:

D. The horizontal cross-sections of the prisms at the same height must have the same area.

Step-by-step explanation: I dont know what the guy above is saying but this is the right answer

Since it is given that both prisms have the same height and volume, the answer is option D. The horizontal cross-sections of the prisms at the same height  must have the same area.

A solid figure is one which has surface area and volume. Examples are prisms, cube, cuboid etc. Thus cones and pyramids are solid figures.

From the given question,

Volume of a cone, V = [tex]\frac{1}{3}[/tex][tex]\pi r^{2} h[/tex]

where r is its radius, and h its height

also,

Volume of a pyramid, V = [tex]\frac{1}{3}[/tex] lwh

where l is its length, w is the base width and h is its height.

Given that: i. volume of cone = volume of pyramid

                  ii. height of cone = height of pyramid

Then,

[tex]\frac{8}{3}[/tex][tex]\pi r^{2}[/tex] = [tex]\frac{8}{3}[/tex]lw

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

Thus it can be deduced that at the same height, the horizontal cross section of the prisms have equal area. So that option D is the appropriate answer to the given question.

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Answer:

6/8??

Step-by-step explanation:

I am a little confused with the question but i believe its 6/8

Answer:

is the answer of emonis

Answer:

100 π

Explanation:

Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.

First, half the 20m to 10m since the radius is 1/2 of the diameter.

Next, plug this into the formula to get the answer:

π 10^2

π 100

100 π is the answer, since it is looking for it in terms of π.

Answer:

A≈314.16m²

Step-by-step explanation:

I cant write it down lol, I promise its right! :)

Step-by-step explanation:

a^2 + 2(b - 6) - 17. a = -7 b = 2

= (-7)^2 - 2(2 - 6) - 17

= 49 - 4 + 12 - 17

= 40

The figure depicting the board game is attached below.

Answer:

Step-by-step explanation:

Kindly note that selections done without replacement.

Count of numbers on the board game = 8

Count of odd numbers = (1, 9, 1) = 3

Count of digit 6 = 3

Probability = required outcome / Total possible outcomes

P(picking an odd number) = 3 / 8

Without replacement

Numbers left on board game = 8 - 1 = 7

P(picking a 6) = 3 / 7

Hence,

P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56

Answer:

C is correct both have 7 as y intercept

Answer:

Situation 1 has a greater slope I believe

It might be C also.

Correct me if i'm wrong.

Answer:

175

Step-by-step explanation:

I am assuming that you mean that a and b are both bases of a  right triangle. Please correct me if I am wrong.

14 * 25/2 = 350/2 = 175

The area would then be 175 cm²

Answer:

A

Step-by-step explanation:

y=2(x-3)^2-3

replace x for x in the table

so y=2(1-3)^2-3

            -2*-2

              4*2

                 8-3

                 y=5

just like in the table

Answer:

THis does that give me enough information to answer.

Step-by-step explanation:

Answer:

Number of year = 17 year 4 month (Approx.)

Step-by-step explanation:

Given:

Current amount = $500

Future amount = 2 x 500 = $1,000

Rate of interest = 4%

Find:

Number of year

Computation:

Rate [Monthly] = 4% / 12 = 0.00333

Total time = 12 x n = 12n

A = P[1+r]¹²ⁿ

1000 = 500[1+0.003333]¹²ⁿ

2 = [1+0.003333]¹²ⁿ

2 = [1.003333]¹²ⁿ

Number of year = 17.358

Number of year = 17 year 4 month (Approx.)

Answer:

look at the picture i sent......

Answer:

Option C. 8

Step-by-step explanation:

It is a right triangle.

let

AC = 10

BC = 6

AB = x

Using Pythagoras theorem

[tex] {ab}^{2} + {bc}^{2} = {ac}^{2} \\ {x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x }^{2} = 100 - 36 \\ {x}^{2} = 64 \\ x = \sqrt{64} \\ x = 8[/tex]

Answer:

Solution given:

-2(3x+12y-5-17x-16y+4)

-6x-24y+10+34x+32y-8

34x-6x+32y-24y+10-8

28x+8y+2 is a required answer.

Answer:

C

Step-by-step explanation:

Answer:

Positive 3

Step-by-step explanation:

-29=9-6k-2k-14

-29=-5-8k

-24=-8k

k=3

Answer:

A because the river is fastest at that shore

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

128π²

Step-by-step explanation:

The equation for a cylinders volume is V=πr²h

So that means that we square r which is 4, we get 16. Then we multiply 16 by the height which is 8. This gives us 128. The last step is to multiply by pi so we get 128π.

Answer:

b

Step-by-step explanation:

Interest rate risk is the risk that a fall in interest rate would decrease the value of a fixed rate investment. e.g. bonds , real estate.

Interest rate dropped 3 months after the house was bought. Robert is facing interest rate risk

Income risk is the risk that the stream of income received from a particular investment would drop as a result of a fall in interest rate.

Inflation risk is the risk that inflation would decrease the value of an investment

Answer:

b

Step-by-step explanation:

Answer:

x intercepts are (-3,0) and (5,0), axis of symmetry is x=1, and vertex is (1,16), domain is (-infinity, infinity) and range is (-infinity, 16], maximum is (1,16) and minimum is -infinity, the y intercept is (0,15)

Step-by-step explanation:

Answer:

where is the graph lol

Step-by-step explanation:

need a graph

Answer:

[tex]\frac{24}{11}+\frac{6\sqrt{5} }{11}[/tex]

Step-by-step explanation:

Multiply the fraction by the conjugate and solve (would explain more but you're on a time crunch)

Answer:

(7,5)

Step-by-step explanation:

Answer:

[tex]a^2 + 2ab + b^2[/tex]

Step-by-step explanation:

Given

[tex](a + b)^2[/tex]

Required

Express as a standard polynomial

We have:

[tex](a + b)^2[/tex]

Rewrite as:

[tex](a + b)(a + b)[/tex]

Open bracket

[tex]a^2 + ab + ab + b^2[/tex]

Add like terms

[tex]a^2 + 2ab + b^2[/tex]

49√3 = √3/4 a²

49×4 = a²

a = 7×2

a = 14 cm

Side of equilateral triangle = Side of square ABCD = 14cm

Area of square ABCD = a²

A = 14×14

A = 196 cm²

Now diameter of circle = side of square = 14cm

Radius = D/2 = 7 Cm

There are two half circle in the square = one whole circle

Area of circle = πr²

A = 3.14 ×7 ×7

A = 153.86

Area of yellow region = Area of square - Area of circle

Area of yellow region = 196 - 153.86 = 42.14 Cm²

The area covered by the yellow region (in cm²) in the given diagram is 42cm². The correct option is c.42

From the question, the area of the blue equilateral triangle in the given diagram is 49√3cm².

The area of an equilateral triangle can be calculated by finding half the product of the square of a side (all sides are equal in an equilateral triangle) and sin 60° (each interior angle of an equilateral triangle is 60°)

Hence, the area of the blue triangle is given by

[tex]A = \frac{1}{2}/AB/^{2}sin60\°[/tex]

Where A is the area

Therefore,

[tex]49\sqrt{3} = \frac{1}{2}/AB/^{2}sin60\°\\2 \times 49\sqrt{3} = /AB/^{2} \times \frac{\sqrt{3} }{2}[/tex]

[tex]2 \times2 \times 49\sqrt{3} = /AB/^{2} \times \sqrt{3}[/tex]

[tex]196 \sqrt{3} = /AB/^{2} \times \sqrt{3}[/tex]

∴ [tex]/AB/^{2} = \frac{196 \sqrt{3} }{\sqrt{3} }[/tex]

[tex]/AB/^{2} = 196[/tex]

∴ [tex]/AB/ = \sqrt{196}[/tex]

[tex]/AB/ = 14cm[/tex]

Hence, the length of a side of the square is 14 cm and the diameter of the circle is also 14 cm (since the length of a side of the square cuts the circle into equal halves, hence it is the diameter)

Area covered by the yellow region = Area of the square - ( sum of the areas of the two semicircles)

Sum of the areas of the two semicircles = Area of one circle

Area of a circle is given by the formula

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

But r = d/2

where r is radius and d is diameter

∴ r = 14/2 cm

r = 7cm

Hence

Area of the circle = [tex]\pi \times 7^{2}[/tex]

A = [tex]49\pi[/tex]

Taking π = 22/7

∴ A = [tex]49 \times \frac{22}{7}[/tex]

A = 154cm²

This is the sum of areas of the two semicircles

Now, for the area of the square

Area of the square = /AB/²

∴ Area of the square = 196 cm²

Now, as stated earlier,

Area covered by the yellow region = Area of the square - ( sum of the areas of the two semicircles)

∴ Area covered by the yellow region = 196 cm² - 154cm²

Area covered by the yellow region = 42cm²

Hence, the area covered by the yellow region (in cm²) in the given diagram is 42cm²

The correct option is c.42

Learn more on area of shapes here: https://brainly.com/question/24220654

Answer:

-4x + 3y

Step-by-step explanation:

-y - 4x + 4y

= -4x + 3y