6.
Which expression represents the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r?

Answer:

B. 20 = 2g

Step-by-step explanation:

What we see here is a diagram showing a bar of 20 at the top, and a pair of g's bars each taking up half of the 20 bar.

Seeing this, that would mean the 2 bars showing g equal 20, so the equation 20 = 2g is the one which the diagram shows.

Answer:

273 people.

Step-by-step explanation:

Given that,

Total number of people working on an office building = 1092

The building has 4 floors, and the same number of people work on each floor.

We need to find how many people work on each floor. Let there are n people in each floor.

n = Total number of people/Total number of floors

[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]

So, there are 273 people working on each floor.

Answer: A

Step-by-step explanation: Every hour the temperature goes down 2 degrees and the h wouldn't go on the 32! Good luck! :D

Answer:

C. t = –4h + 21

Step-by-step explanation:

We know that when h = 0, t = 21°F. Replacing h = 0 in  equation A and D we get:

A.

t = 21h + 4

t = 21(0) + 4

t = 4

D.

t = –21h + 4

t = –21(0) + 4

t = 4

So, none of them are correct.

The temperature drops 4 degrees every hour, this means that for h = 1 then t = 21 - 4 = 17. Replacing h = 1 in  equation B and C we get:

B.

t = 4h + 21

t = 4(1) + 21

t = 25

C.

t = –4h + 21

t = –4(1) + 21

t = 17

In consequence, C is the correct option.

Answer: 18

Step-by-step explanation:

Answer:

s=18

Step-by-step explanation:

Solve for  s  by simplifying both sides of the equation, then isolating the variable.

Brainly pls :)

Answer:

2/8

Step-by-step explanation:

adding 11x and -4x makes it 7x

adding-3y and 3y cancels it out so your left with nothing

adding a negative and a negative keeps it a negative so its 18+17 making it -35

so the answer is C

Answer:

Option B.

Hey there!

According to the question,

45 miles per hour is given.

Then;

1 mile = 1.60 km

45 miles = 1.60*45

= 72 km.

Therefore, 45miles is equal to 72 km.

Hope it helps....

Answer:

8x²+7x+14

Step-by-step explanation:

4x²+4x²= 8x²

9x-2x= 7x

14=14

8x²+7x+14

hope it helps! please mark me brainliest

thank you! have a good day ahead

Answer:

there's nothing there

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".

Step-by-step explanation:

Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.

If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.

To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.

Solution:

Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.

Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.

So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].

Now, on solving we get,

[tex]20x\geq 3000[/tex]

[tex]\implies x\geq \frac{300}{20}[/tex]

[tex]\implies x\geq 15[/tex]

Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".

The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.

Since

Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment

20x≥30,000

x≥15

Based on this, the above represent the inequality function.

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Answer:

The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)

Step-by-step explanation:

The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing

The given parameters of the scale drawing are;

The scale of the drawing is 1 cm = 2 m

The dimensions of the rectangle representing the garden in the scale drawing is given as follows;

The width of the rectangle = 2.5 cm

The length of the rectangle = 4 cm

The required location where the tree is to be planted = 7 m from A and 4 m from point C

Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C

Taking the coordinate of point A as the origin, we have;

The coordinates of point A = (0, 0)

∴ The coordinates of point C = (4, 2.5)

The general equation of a circle is (x - h)² + (y - k)² = r²

Where, (h, k) is the coordinate of the center of the circle

The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C

Therefore, for point A, we have;

(x - 0)² + (y - 0)² = 3.5²

x² + y² = 12.25...(1)

For point C, we have;

(x - 4)² + (y - 2.5)² = 2² = 4

Which gives;

x² - 8·x + 16 + y² - 5·y + 6.25 = 4

x² + y² - 8·x - 5·y + 22.25 = 4

We have x² + y² = 12.25 from equation (1), therefore, we have;

12.25 - 8·x - 5·y + 22.25 = 4

- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5

∴ 8·x + 5·y = 30.5

y = (30.5 - 8·x)/5

Therefore, we have;

x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25

Using a graphing calculator we get;

356·x² - 1952·x + 2496 = 0

Which gives;

x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)

x = 3.452197227 or 2.03094884081

To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;

Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368

or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547

y = 0.5764844368 or 2.8504818547

To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;

(3.45, 0.58) or (2.03, 2.85)

We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.

Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)

Answer:

Step-by-step explanation:

Make sure to use protractor and cross tools to get full marks

Thank you

Answer:

4.5

Step-by-step explanation:

3+1.5=4.5

Answer:

Step-by-step explanation:

Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.

a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                      = [tex]\frac{(160-120)}{(0-8)}[/tex]

                                      = -5

    A-intercept = 160

b). Linear equation to represent the given relation in the graph will be,

  A = (-5)t + 160

c). At t = 15 minutes,

   A = (-5)(15) + 160

   A = -75 + 160

   A = 85 liters

d). This model is applicable till the container gets fully emptied.

   For A = 0,

   0 = -5t + 160

   t = [tex]\frac{160}{5}[/tex]

   t = 32 minutes

   Therefore, this model is reasonable up to t = 32 minutes.

Answer:

1

Step-by-step explanation:

First, Distribute

Then, add 3 to both sides

Then, Divide 15 from both sides

1=Z

Answer:show me

Step-by-step explanation:

Answer:

Approximately 0.6009

The value of tan 31 is 0.6008606.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As, the angle 31° lies between 0° and 90° (First quad).

So, tangent function is positive in the first quadrant.

Tan 31 degrees= tan (0.54105 . . .) in radians.

As, using degree to radian conversion,

θ(radians) = θ in degrees × (π/180°)

31 degrees = 31° × (π/180°) rad

= 0.5410

So, tan 31°

= tan(0.5410)

= 0.6008606.

Hence, tan 31= 0.6008606.

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Answer:

C

Step-by-step explanation:

Answer:

The answer is A :)

brainliest pls

Answer:

UY = 14

Step-by-step explanation:

In the given figure

∵ TUV is a triangle

∵ UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U

∴ UY: YZ = 2: 1

∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ UY × 1 = YZ × 2

∴ UY = 2YZ

∵ UZ = UY + YZ

∴ UZ = 2 + 1 = 3 parts

∵ UY = 2 parts

∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]

→ Multiply both sides by UZ

∴ UY =  [tex]\frac{2}{3}[/tex] UZ

∵ UZ = 21

∴ UY =  [tex]\frac{2}{3}[/tex] (21)

∴ UY = 14

Answer:uhhh

Step-by-step explanation: ok so ask for help from teacher maybe

Answer:

$715.50 my dudeeee

Step-by-step explanation:

..........

Ralph pays a total of $715.5 for the computer including the sales tax amount.

Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.

Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.

Actual price of the computer = $675

Sales tax rate = 6%

Ralph has to pay the actual price and in addition the sales tax to buy the computer.

Amount of sales tax = 6% × 675

                                 = (6/100) × 675

                                 = 0.06 × 675

                                 = $40.5

Ralph should add $40.5 to the actual price.

Total payment made for buying the computer = $675 + $40.5

                                                                             = $715.5

Hence Ralph pays a total amount of $715.5 for the computer.

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Answer:

Step-by-step explanation:

The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x = |AD|   (the length of the side AD).

Let y = |AB|   (the length of the adjacent side AB).

Then

2x + 2y = 92   (the perimeter)

x - 2y = 1    ("AD is 1cm more than twice AB.")

Add the two equations (both sides) and get

3x = 92 + 1  --->  3x = 93  --->  x = 93/3--->  x = 31.

Then from the second equation  2y = x - 1 = 30-1 = 30.

Hence, y = 30/2 = 15.

Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.

Answer: The slope is 7

m =7

y + 6 = 7 ⋅ ( x + 9 )

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

1/2(12)=6

Answer:

8

Step-by-step explanation:

1/2(8+4)=6

Answer: c

Step-by-step explanation: if there is no y then its just x=-2

Answer:

c

Step-by-step explanation:

m=y/x and in this case the graph doesn't cross y so ot is valued 0

Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think

Answer:

Step-by-step explanation:

1) √36 = 6

2) ^3 √8 = 2

3) ^3 √64 = 4