solve for x by using the elimination method

Answer:

7.

radius [r]=3in

length of bold part of circle=(360-40°)/360×2πr

=8/9×2×π×3=16.755

8.

we have

x²-2=2-y²

x²+y²=4..........(1)

comparing above equation with

(x-h)²+(y-k)²=r²

we get

centre(h,k}=(0,0)

radius [r]=2 units

Answer:

Step-by-step explanation:

Given the scale factor:

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

The volumes are:

Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:

Answer:

6/25

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that a 7th grader is chosen = total number of 7th graders / total number of students

total number of 7th graders = 180

total number of students = 200 + 220 + 180 + 150 = 750

180 / 750

To transform to the simplest form. divide both the numerator and the denominator by 30

6 / 25

Answer:

The answer is letter A and letter F.

Step-by-step explanation:

The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.

Answer:

8.3% probability

Step-by-step explanation:

(3) YELLOW  ⇒   [tex]\frac{3}{12}[/tex]   ⇒  25%

(5) BLUE       ⇒   [tex]\frac{5}{12}[/tex]   ⇒  41.6%

(4) RED         ⇒   [tex]\frac{4}{12}[/tex]   ⇒  33.3%

║(12) IN TOTAL

[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] = 8.3%

PROBABILITY OF (1) RED, AND (1) YELLOW  ⇒ 8.3% probability

Answer:

2.5

Step-by-step explanation:

Answer: b. 2.5 years

Step-by-step explanation:

The formula for Interest is:

= principal × rate × time

Then, we slot in the values given which will be:

Interest = principal × rate × time

50 = 1000 × 2% × Time

50 = 1000 × 0.02 × Time

50 = 20 × Time

Time = 50/20

Time = 2.5 years

He has 2.5 years to pay back

Answer:

168

Step-by-step explanation:

Answer:

x=-31/4

Step-by-step explanation:

1/4 =x+8

Step 1: Flip the equation.

x+8=

1

4

Step 2: Subtract 8 from both sides.

x+8−8=

1

4

−8

Answer:

V = 9.33 π m³

Step-by-step explanation:

Given: The cone is 7 inches tall and has a diameter of 2

To find: How many cubic inches the cone can hold

Formula: The formula for the volume of a cone is V = [tex]\frac{1}{3} h\pi r[/tex]².

Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume you need to multiply the base area

(area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex]:

volume = ([tex]\frac{1}{3}[/tex]) × π × r² × h.

In terms of pi V = 9.33 π m³

Answer:

66

Step-by-step explanation:

330/1000 by 20(...)=66

Answer:

27 in

Step-by-step explanation:

8 in+3 in+6 in+ 5 in+ 5in=27 in

Answer:

n - k + 1

Step-by-step explanation:

This is assuming (because you did not say) that n and k are integers and n is greater than k.

Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.

Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}

Answer:

I believe its 47.5

Hope this helps!

Answer:

142.5

Step-by-step explanation:

1/2×5×(7+12)=142.5

value of n=72

Answer:

∆ABC~DEF

since the side of similar triangle are proportional

[tex] \frac{AB}{DE} = \frac{BC}{EF} [/tex]

[tex] \frac{54}{9} = \frac{n}{12} [/tex]

6×12=n

n=72

Step-by-step explanation:

true

and the top and bottom are just circles

The statement is true whenever the cylinder is unrolled the result will be the rectangle.

The Cylinder is a solid geometry with right straight sides and has a circular cross-section.

If we unroll the cylinder we will get a rectangular shape. having four sides two opposite sides are parallel and equal to each other.

Hence the statement is true whenever the cylinder is unrolled the result will be the rectangle.

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Answer:

i dont see a circle

Step-by-step explanation:

Answer:

All circles are similar.

Step-by-step explanation:

Because circles are the same shape, they are similar by nature.

Answer:

History test

Step-by-step explanation:

28 divided by 40 is 0.7 which equals 70 percent.

39 divided by 60 is 65 percent .

Answer:

Phil did better on his History test.

Step-by-step explanation:

In the history test, he scored a 28/40. There are many ways to do this, but here is my way. Convert this to decimal to make comparison easy.

28/40 = 0.7

In the Geography test, he scored 39/60. Convert this to decimal as well.

39/60 = 0.65.

Since 0.7 > 0.65, Phil did better on his history test.

Answer:

$12.

Step-by-step explanation:

48 divided by $12 = $12.

Please mark brainiest thank you

Answer:

$5

Step-by-step explanation:

The amount of money spent on snacks is

2/3 × $15= $10

15-10= 5

=$5

or

1/3 ×15

= 5

Answer:

The slope of a line that is parallel to the graph of 4x+2y=4 is -2

0.083 In decimal 8.3% in percentage

Answer:

u = 8, v = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{u}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

u = 8

The triangle is right isosceles with legs congruent, so

v = 4[tex]\sqrt{2}[/tex]

Answer:b

Step-by-step explanation:

Answer:

Compound interest; $5.42

Step-by-step explanation:

Answer:

18 cm

Step-by-step explanation:

please mark this answer as brainliest

Answer:

18 cm

Step-by-step explanation:

The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3.

Given: side x = 3 cm

Use the diagonal formula,

Diagonal of cube = 3–√x

Diagonal of cube = 3–√ × 3

We know that the value of √3 is 1.734

Therefore, the diagonal of a cube  = 1.734 (3)

Diagonal of cube = 5.20 cm

Answer:

D. 8 times

Step-by-step explanation:

lmk if its right bc im not too confident </33

D. The new volume will be 8 times the original volume.

The measurements of the rectangular prism are 5m ( length ), 3m ( width ), and 2m ( height ). To find the volume of the rectangular prism, you have to multiply the length, width, and height altogether. That gives you ( 5*3*2= ) 30 cubic meters. However, if the measurements were doubled for each edge, the new measurements would be ( 5*2= ) 10m ( new length ), ( 3*2= ) 6m ( new width ), and ( 2*2= ) 4m ( new height ). Multiplying those new measurements together would get you the volume of ( 10*6*4= ) 240 cubic meters. Now, in order to find out how it affects the volume of the prism, you divide 240 cubic meters by 30 cubic meters and get 8. Therefore, the answer will be D. The new volume will be 8 times the original volume.  

Answer:

270

Step-by-step explanation:

3/4x360

Answer:

80% chance she will not be chosen

Step-by-step explanation:

the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.

I hope this is correct!

The probability that Aretha will not be chosen is 0.8.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Probability of choosing 2students =2/10

Probability of not choosing students = 1-2/10

= 8/10

= 0.8

Therefore, the probability that Aretha will not be chosen is 0.8.

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