steve has a photo and a rectangular piece of card. the photo is 16cm by 10cm. the card is 30cm by 15cm. steve cuts along the dotted line shown in the diagram below teve throws away the piece of card that is 15 cm by x cm. The piece of card he has left is mathematically similar to the photo. Work out the value of x.

Given:

The radius of given fig = 2.2 unit

The height of the cylindrical part = 8.7 unit

The slant height of the cone = 10.2 unit

To find the total surface area of the given figure.

Formula

The given figure consists of a cylinder and a cone.

So, the surface area of the fig

[tex]SA = \pi r l+2\pi r h+\pi r^{2}[/tex]

Where, r be the radius

h be the height

l be the slant height

Now,

Putting,

r=2.2, h = 8.7, l=10.2 and π=3.14 we get,

[tex]SA = (3.14)(2.2)(10.2)+2(3.14)(2.2)(8.7)+(3.14)(2.2^{2} )[/tex] sq unit

or, [tex]SA = 70.4616+120.1992+15.1976[/tex] sq unit

or, [tex]SA = 205.8584[/tex] sq unit

or, [tex]SA = 205.86[/tex] sq unit

Hence,

The total surface area of the given figure is 205.86 sq unit.

Answer:

p=133.866667

Step-by-step explanation:

Let's solve your equation step-by-step.

0.75p=0.4+100

Step 1: Simplify both sides of the equation.

0.75p=0.4+100

0.75p=(0.4+100)(Combine Like Terms)

0.75p=100.4

0.75p=100.4

Step 2: Divide both sides by 0.75.

0.75p/0.75 = 100.4/0.75

p=133.866667

Answer:

p=133.866667

285.7

Step-by-step explanation: trust me bro, no really trust me

Answer:

120 ounces of milk for $3 is a better buy

Step-by-step explanation:

Divide the total number of ounces by the price to find the price per ounce:

120 ÷ 3 = 40 cents per ounce

600 ÷ 13 = 46.15 cents per ounce

Answer:

Hope this helps!

Step-by-step explanation:

Area = π · r2 = 3.14 · 2.62 = 21.24 square inches.

Answer:

11/35

Step-by-step explanation:

Please choose brainliest

Answer: fewer

Step-by-step explanation: The data has a positive trend, then a negative. And using common sense, since when do people go to the pool in December unless indoors, even then it is rare. Some questions require common sense too BTW.

Answer:

Explanation:

You can set a system of two equations.

1. Variables

2. Cost

          x + 0.5y = 220 ↔ equation (1)

3. There were 80 more pencils than pens

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

4. Solve the system

i) Substitute the equation (2) into the equation (1):

ii) Solve

iii) Substitute x = 120 into the equation (2)

Solution: 120 pens and 200 pencils ← answer

Answer:

  B.  14 quarts

Step-by-step explanation:

1 quart = 2 pints

1 gallon = 4 quarts = 8 pints

__

Chris's recipe in quarts is ...

  5 quarts cranberry juice

  1 1/2 gal = 6 quarts orange juice

  6 pints = 3 quarts pineapple juice

Then the total number of quarts of juice Chris is making is ...

  5 + 6 + 3 = 14 . . . quarts of punch

Answer:

B - 59 degrees

Step-by-step explanation:

In total there is 360 degrees, 131 + 170 = 301, 360 - 301 = 59

Answer:

B

Step-by-step explanation:

131+170=360

301=360

59

Answer: I think the table has the greater rate of change because to find the greater rate of change we have to find the rate of change for both function. So, for this we have to find two points for both and then using the slope formula we have to solve for it.

for the first one: (4,6)(6,9)

9-6/6-4

3/2

For the second function: (4,5)(5,10)

10-5/5-4

5/1

5

so as we see that 3/2 is not greater than 5 so the function 3 has the greater one.

I don't know how to solve the first one. I am sorry but hope this helps you!

Answer:

the slope is [tex]-\frac{1}{2}[/tex]

the y-intercept is [tex](0,-1.5)[/tex]

Step-by-step explanation:

(the website i used to graph it is called desmos)

After you graph the line, the y-intercept is the point on the line where it passes through the y-axis. On this line, that point is [tex](0,-1.5)[/tex]

To find the slope, an easy way would be to use "rise over run"

Find two points on the line and plug them into this equation: [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex], for this i used the points [tex](5,-4)[/tex] and [tex](7,-5)[/tex]

[tex]\frac{-4+5}{5-7} = -\frac{1}{2}[/tex]

so the slope is [tex]-\frac{1}{2}[/tex]

Answer:

Sales tax is calculated by multiplying the cost of a good or service by the appropriate sales tax rate The answer is B  (purchase price) (percent sales tax); then d. (purchase price) (percent sales tax). Hope it helps!:)

Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

so lets do triangle NML

its a 30 60 triangle so it has a rule (image)

line NL is 2x5 = 10

Now we have that length for triangle NLK

now triangle NLK is a 45 45 triangle what also has a rule (image)

Now using the rule 10[tex]\sqrt{2}[/tex]

Answer:

1.6 cups

Step-by-step explanation:

Each batch needs 0.4 cups of sugar, and she is making 4 batches. Therefore, we can multiply 0.4 times 4 to find how much sugar is needed.

0.4*4=1.6

So, she needs 1.6 cups of sugar for 4 batches

Answer:

1.6 cups of sugar for four batches of cookies

Answer:

B: 4 inches

Step-by-step explanation:

I got it right on usatestprep!

Hope this helps!

From: Aug1e

Answer:

18. D Similar

19.  D

20.  C 2/3

21. --1/3 (I can't see answer choices)

22.  D 36

23. D 20

24.  7 meters

Step-by-step explanation:

Answer:

Intersections

It has the highest number out of the four options given

98 - 0.17(98)

98 - 16.66

81.34

The stock is now worth $81.34.

Hope this helps!! :)

Answer:

3² and 4²

Step-by-step explanation:

Note

3² = 9 and 4² = 16

Thus 15 is between 3² and 4²

9 < 15 < 16

Step-by-step explanation:

Given that,

Distance covered by a trucker, d = 500 miles

Average speed of the trucker, v = 600 mph

A trucker drove 500 miles in h hours. We need to write the linear equation used to find the number of hours that the trucker drove. Average speed is given by :

[tex]v=\dfrac{d}{t}[/tex]

t is time in hours

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{500\ miles}{60\ mph}[/tex]

If t is h hours,

[tex]h=\dfrac{500\ miles}{60\ mph}\\\\500=60h[/tex]

On solving, h = 5 hours.

Hence, this is the required solution.

Answer:

907.5 cm

Step-by-step explanation:

Multiply them together but next time use a calculator

Answer: 907.5 cm^3

Step-by-step explanation:

Volume is base*width*height, therefore 22*5.5*7.5 is 907.5

Answer:

17 degrees.

Step-by-step explanation:

Total sum of angles on a triangle always make 180

112+51=163

180-163=17

Answer:

Risk transfer is a risk management and control strategy that involves the contractual shifting of a pure risk from one party to another. One example is the purchase of an insurance policy, by which a specified risk of loss is passed from the policyholder to the insurer.

Step-by-step explanation:

hope this helps!

Answer:

t=10

Step-by-step explanation:

(t+10)+t=t+20,

Combine like terms

2t+10 = t+20

Subtract t from each side

2t-t+10 =t-t+20

t+10 =20

Subtract 10 from each side

t+10-10 = 20-10

t = 10

Answer:

t = 10

Step-by-step explanation:

2t+10 = t+20

-t          -t

__________

t + 10 = 20

   -10   -10

_________

t         = 10

Answer:

3t+5.25b≥470

Each taco sells for $3, so t tacos will bring in 3t dollars. Each burrito sells for $5.25, so b burritos will bring in 5.25b dollars. Therefore, the total amount of revenue 3t+5.25b must be greater than or equal to $470:

Answer:

[tex] { ({x}^{3}) }^{3} = {x}^{n} [/tex]

[tex] {x}^{27} = {x}^{n} [/tex]

[tex]n = 27[/tex]

Given:

A composite shape consisting of three rectangles with different lengths and widths.

To find:

The area of the composite shape.

Solution:

To find the area of the composite shape we must add the areas of all the three rectangles.

The upper rectangle has a length of 8 inches and a width of 4 inches.

The area of a rectangle [tex]= (l)(w).[/tex]

The area of the upper rectangle [tex]=(8)(4)=32[/tex] in².

The middle rectangle has a length of [tex]8-4=4[/tex] inches and a width of [tex]10-4-1.5=4.5[/tex] inches.

The area of the middle rectangle [tex]=(4)(4.5) = 18[/tex] in².

The lower rectangle has a length of 8 inches and a width of 1.5 inches.

The area of the lower rectangle [tex]= (8)(1.5)=12[/tex] in².

The area of the composite shape [tex]= 32+18+12 = 62[/tex] in².

The composite shape has an area of 62 in² which is option 3.

Answer: you have to do 62

Step-by-step explanation:

Answer:

34/69

Step-by-step explanation:

2 are jelly-filled

5 are lemon-filled

17 are custard-filled

Total: 24

First drawing:

There are 24 donuts in total, 17 of which are custard filled.

p1(custard filled) = 17/24

Second drawing:

There are now a total of 23 donuts, 16 of which are custard filled.

p2(custard) = 16/23

The two drawings are independent events, so the overall probability is the product of the individual probabilities.

Overall probability of drawing two custard filled donuts:

p(2 custard filled) = p1 * p2 = 17/24 * 16/23 = 17/3 * 2/23 = 34/69