Which expression will give the closest approximation to the square root of 156.

Answer:

66 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the base area and h the perpendicular height )

A = [tex]\frac{1}{2}[/tex] × 4 × 3 = 6 cm² ( Area of triangular base ) and h = 11

V = 6 × 11 = 66 cm³

Answer:

- 3/5

Positive

Step-by-step explanation:

when plotting on a number line, you will start with the first term listed in the equation, in this case it is -3/5

then, if the next term is positive, you will move to the right (aka positive direction), but if the next term is negative then you will move to the left (aka negative direction)

in this question, the next term is positive, so you will move in the positive direction

Given:

The expression is:

[tex]\dfrac{(-24)^5}{-24}[/tex]

To find:

The value of the given expression into a single power.

Solution:

We have,

[tex]\dfrac{(-24)^5}{-24}[/tex]

Using the quotient property of exponent, we get

[tex]\dfrac{(-24)^5}{-24}=(-24)^{5-1}[/tex]         [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]\dfrac{(-24)^5}{-24}=(-24)^{4}[/tex]

Therefore, the required value of the expression is [tex](-24)^{4}[/tex].

Answer:

x = 96

Step-by-step explanation:

Answer:

x/6≥16

Step-by-step explanation:

Answer:

2r+3r

Step-by-step explanation:

even though r5 looks correct, you always have to put the varible on the right side of a number. 2r+3r is correct because if you combine like terms, you get 5r

Answer:

a) P

b) NP

c) P

d) p

e) p

1.30,35,40. add 5

2. 4,0,-4.  take 4

3. -8,-10,-12. add -2

Answer:

37.7

Step-by-step explanation:

ig

Answer:

C

why does it say a minimum of 20 words

Answer:

6^2

Step-by-step explanation:

6^2 because,

6^1 is not a perfect square because 6 is its own number because 6 x 1 =6 Therefore being eliminated.

6^3 is not a perfect square because 6 x 6 x 6 (216) is cubed not square

*This one almost tricked me*

6^5 is not a perfect square because 6 x 6 x 6 x 6 x 6 (7776)  it isn't an equal factor combination, that when multiplied together, produce the number 7,776. That means 7,776 is not a perfect square.

6^2 is a perfect square because 6x6= 36 and 36 is a perfect square.

Therefore, its 6^2

(This is my 100th question answered!)

Hope this helps have a nice day!

Answer:

r = 16

Step-by-step explanation:

[tex]\frac{3}{8}r = 6 \\\\[/tex]

Multiply both sides by 8

[tex]8*\frac{3}{8}r = 6*8\\\\3r = 48\\[/tex]

Divide both side by 3

[tex]\frac{3}{3}r=\frac{48}{3}\\\\r = 16[/tex]

OR

Multiply both side by (8/3)

[tex]\frac{8}{3}*\frac{3}{8}r=6*\frac{8}{3}\\\\r = 2*8\\\\r = 16[/tex]

write an equation to represent the information in this problem. Jerel runs five days each week. on each of 4 days, he runs 2.3 km. if jerel runs a total of 14km, how many kilometers does he run on the fifth day?

Let x be the distance run on the fifth day

Total distance run on all the four days = 2.3 * 4 = 9.2 km

Required equation : x + 9.2 = 14

x = 14 - 9.2

x = 4.8 km

Answer:

17.     9 yd^2

18.     37.5 yd^2 ( I'm not sure it is the right one.)

Step-by-step explanation:

17. 3*3 =9

18. 5*15/2=37.5 yd^2

5 is the side of the pentagon

Answer:

None of these can be triangles.

Step-by-step explanation:

All triangles’ side lengths must follow this pattern - the two shortest sides must be GREATER than the longest when added together. 6 + 4 < 10, so this isn’t a triangle. 3 + 8 = 11, so this isn’t a triangle. 8.4 + 7.7 < 16.6, so this isn’t a triangle. Lastly, 4 + 3 < 16, so this isn’t a triangle. Hope this is accurate & helpful! Best of luck.

See attachment for reply and answer.

2 1/2 + x = 3 1/2

3 1/2 - 2 1/2= 1

x = 1

Answer:

y output = 1

Step-by-step explanation:

If you look at the image, look where x equals -9. Look at what points are on that line called x=-9. We see the x=-9 line intersects the blue line system at (-9,1). We now know that the y output for x input being -9, is 1.

Hope this helps(would be grateful if you would make my answer branliest because I need brainliest answers for leveling up.)

Step-by-step explanation:

Here's your solution

=> percentage of zinc = 30%

=> total weight of alloy = 300 gram

=> amount of zinc = (30/100)*300 = 90 gram

=> amount of copper = 300 - 90 = 210 gram

hope it helps

Answer:

b) 41.6 square inches

Step-by-step explanation:

A regular hexagon is inscribed in a circle with a diameter of 8 inches.

Step 1

We find the radius

Radius = Diameter/2

= 8 inches/2 = 4 inches

a. What is the perimeter of the hexagon?

b. What is the area of the hexagon?

An hexagon has 6 sides

The number of angles in an hexagon is calculated as:

[(Number of sides - 2) x 180]

= (6 - 2) x 180 = 720 ÷ 6 = 120°

The hexagon into 6 equilateral triangles with 4 for each of its sides.

The area of one of the triangles:

Height = 2√3

- one triangle's area = (1/2)bh = (1/2)(4)(2√3) = 4√3

The area of the hexagon by multiplying the one triangle's area by 6:

6 x 4√3 = 24√3 square inches

= 41.569219382 square inches

Approximately = 41.6 square inches

Given:

A figure of a circle.

To find:

The correct statement for the given figure.

Solution:

According to the tangent secant theorem, if two tangents or two secants are drawn to the circle from an exterior point, then the measure of angle between the tangents or secants is:

[tex]\text{Exterior angle}=\dfrac{1}{2}(\text{Difference between intercepted arcs})[/tex]

[tex]\text{Exterior angle}=\dfrac{1}{2}(\text{Larger arc - smaller arc})[/tex]

In the given figure, the exterior angle is 32 degrees, larger arc is QAI and smaller arc is QI.

[tex]32^\circ=\dfrac{1}{2}(m(arcQAI)-m(arcQI))[/tex]

Therefore, the correct option is C.

Answer:

a=4

b=-6

Step-by-step explanation:

If P(x) is divisible by x-c, then P(c)=0.

So P(1)=0 implies 1^3+a1^2+1+b=0

and

P(-3)=0 implies (-3)^2+a(-3)^2+-3+b=0

So notice we have a system to solve.

Let's simply it.

First equation:

1^3+a1^2+1+b=0

1+a+1+b=0

2+a+b=0

a+b=-2

Second equation:

(-3)^3+a(-3)^2+-3+b=0

-27+9a-3+b=0

9a+b-30=0

9a+b=30

Let's put our system together:

a+b=-2

9a+b=30

This is setup so if we subtract the equations b will eliminate allowing us to solve for a:

-8a=-32

a=4

If a=4 and a+b=-2, then 4+b=-2 giving us b=-6.

a=4

b=-6

Answer:

D

Step-by-step explanation:

Answer:

Hey! Answer: F

Step-by-step explanation:

13.5 ÷ 9= 1.5

18 ÷ 12 = 1.5

So our pattern is to enlarge/multiply it by 1.5

So 1.5 x 15 = 22.5

So F is our answer!

Answer: good luck

Step-by-step explanation:

Answer:

The answer is 11%

Step-by-step explanation:

i know i know no need to thank me

Answer:

14

Step-by-step explanation:

Answer:

looks like 18 not sure tho

Step-by-step explanation:

Answer:

there is no question

Step-by-step explanation:

edit ur question

Answer:

Airplane A has the greater median flight length

Airplane A has a greater range

Airplane B has a greater spread

Answer:

4) A

5) B

6) B

Answer:q = - 9 and r = - 10

Step-by-step explanation:

since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12

q + r + 7 = - 12 ( subtract 7 from both sides )

q + r = - 19 → (1)

Since (x - 3) is a factor of g(x), then

g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is

108 + 9q + 3r + 3 = 0

9q + 3r + 111 = 0 ( subtract 111 from both sides )

9q + 3r = - 111 → (2)

The 2 equations to be solved simultaneously are (1) and (2)

Multiply (1) by - 3

- 3q - 3r = 57 → (3)

Add (2) and (3) term by term to eliminate r

6q = - 54 ( divide both sides by 6 )

q = - 9

Substitute q = - 9 into (1)

- 9 + r = - 19 ( add 9 to both sides )

r = - 10

Hope the helps!!! ❤️

Answer:  60 cups of cheese

Step-by-step explanation:

noodles:cheese:potatoes

4:5:7

192 total cups of soup

each unit of recipe is 4+5+7=16

so divide total cups of soup by one recipe unit

192/16=12

This means 12 recipe units were used.  So each value from ratio 12 times...

4:5:7 = one unit of soup (16 cups)

48:60:84 = 12 units of soup (192 cups)

So 60 cups of cheese are needed for 192 cups of soup.

Answer:

C. 60 degrees, 60 degrees, 60 degrees

Step-by-step explanation:

The measures of interior angles of a triangle sum to 180°.

Answer:

1024

Step-by-step explanation:

2•2•2•2•2•2•2•2•2•2

1024