There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.

The given figure is a triangle with 3 sides and angles. The length of BC as shown in the diagram is 20.5in

The given figure is a triangle with 3 sides and angles. In order to determine the length of BC, we will use the expression given:

cos 35 = a/25

where a = BC

cos 35 = BC/25
BC = 25cos 35
BC = 20.5in

Hence the length of BC as shown in the diagram is 20.5in

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Expression represents the radius of the cylinder, 2x units.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

Given that:

Volume of cylinder =[tex]4\pi x^{3}[/tex]

we know that, Volume of cylinder = [tex]\pi r^{2} h[/tex]

[tex]4\pi x^{3}[/tex]= π * [tex]r^{2}[/tex] *h

[tex]4x^{3} = r^{2}*h[/tex]

[tex]4x^{3} = r^{2}*x[/tex]      [since, height=x]

[tex]4x^{2} = r^{2}[/tex]

r= 2x

Hence the radius of the cylinder is 2x units

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Answer:

(0, 1)

Step-by-step explanation:

right 2 units: add 2 to x

up 4 units: add 4 to y

Answer: (0, 1)

Answer:

Step-by-step explanation:

4 (x + 2) =30

4x + 8 = 30

4x = 30 - 8

4x = 22

x = 22 : 4

x = 5.5

check

(5.5 + 2) * 4 = 30

the answer is good

Answer:

the cost of each sandwich is 5.5

Step-by-step explanation:

we have,

4(x+2) = 30

we know a(b+c) = ab+ac

so, when we open the bracket we get,

4(x+2) = 4x+4*2 which is equal to 4x+8

so, 4x+8 = 30

=>   4x = 30 - 8         [transposing method]

=>   4x = 22

=>   x = 22/4

=>   x = 5.5

hope this helps

Answer:

D. 80

Step-by-step explanation:

The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.

200 × .375 = 75

75 rounded to the nearest tens value is 80

Answer:

The area of the rectangle is 180 units

Step-by-step explanation:

6 + 2 + 2 = 10

But the areas of each sectioned off shape are

Big rectangle = 180

Small rectangle = 48

2 by 8 triangles = each 8

3 by 8 triangles = each 12

Altogether, it's 268

Answer:

268 square yards

Step-by-step explanation:

small L rectangle   8 x 6 =48

two L triangles   2    * 1/2 * 2 * 8 = 16

Large rectangle 18 x 10 = 180

two R triangles    2    * 1/2 3 x 8 =24    Total = 268 yds^2

Considering the speeds given, it is expected Sophie and Jenny are 400 km apart after a total of 5 hours.

Jenny:

Sophie:

It is expected 5 hours later they are 400km apart because at this time each of them will be 200km away from school.

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Answer:

600 + 161 = 761

Step-by-step explanation:

599 + 162 = 600 + 161 = 761

Answer:

Before you write the answer to your question, make sure the question is asking for the actual value of pi or 3.14.

If the question was asking for the question to be completed with the ACTUAL VALUE of pi, then your answer is ----> 4.37

If the question was asking for the question to be completed with the rounded of pi (3.14), then your answer is ----> 4.38

It's a subtle difference, but remember, there is no such thing as close in math, it's either right or wrong.

Step-by-step explanation:

Given: Circle's Area, 60.12

As the value of pi was not directly stated, I will divide the answer into 2 portions, portion one with the answer with the actual infinite value of pi, and one where I will describe how to do it with 3.14 as pi.

Explanation with 3.14:

First thing first, know the formula for calculating the area of a circle:

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

[tex]A[/tex] stands for Area, and [tex]r[/tex] stands for Radius

Now, plug in the given values:

[tex]60.12 = \pi r^2[/tex]

Next, replace 3.14 for pi:

[tex]60.12 = (3.14)r^2[/tex]

Then, divide both sides by 3.14 ,which gives us:

[tex]19.15 = r^2[/tex]

Please note: 19.15 is rounded

Anyway, to isolate [tex]r[/tex], we take the square root of both sides:

[tex]\sqrt{19.15} = \sqrt{x^2}[/tex]

The square root and square on the right side of the equation cancel out, and we are left with:

[tex]4.38 = r[/tex]

Please note that 4.38 was rounded

Answer:

0.16666666666667.

Step-by-step explanation:

A person who has only a high school diploma, they are most likely to have an income of less than $40,000.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The probability of a high school diploma person having less than $40,000 income will be

P(HSD) = 51/78

P(HSD) = 0.6538

The probability of a Bachelor's degree person having less than $40,000 income will be

P(BD) = 24/78

P(BD) = 0.3077

The probability of a master's degree person having less than $40,000 income will be

P(MD) = 3/78

P(MD) = 0.0385

A person who has only a high school diploma, they are most likely to have an income of less than $40,000.

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[tex]60cm^{2}[/tex]

Step-by-step explanation:

A=pq/2

shorter diagonal= 8cm

longer diagonal = 15cm

15*8 = 120

120/2 = 60

A = [tex]60cm^{2}[/tex]

Answer:

The answer is A.

Step-by-step explanation:

I took the test

Answer:

42

Step-by-step explanation:

I would guess that Saul had 42 belts before because 42-34 is 8

Answer:

[tex]let \: \alpha \: be \: the \: 45 \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(45) = \frac{x}{3 \sqrt{2} } \\ 1 = \frac{x}{3 \sqrt{2} } \\ x = 3 \sqrt{2} \\ by \: using \: pythagoras \: therom \\ {y}^{2} = {3 \sqrt{2} }^{2} + {3 \sqrt{2} }^{2} \\ {y}^{2} = 18 + 18 \\ y = \sqrt{36} \\ y = 6[/tex]

Step-by-step explanation:

hope this will help you

Answer:

Step-by-step explanation:

93 + y = 180

y = 180 - 93

y =87 Degrees

Answer:

87°

Explanation: The angles y and 93° are supplementary angles.

Therefore, subtract 93° from 180°, and voila! You got the answer.

Answer:

The answer is 65% is the percent decrease

Answer:

29 degrees

Step-by-step explanation:

The interior angles of all triangles equals 180. We know already that we have 101 and 50 degrees. If we add that, we get 151. To find x, we have to simply subtract 151 from 180. If we do this, we get 29. x=29.

Hope this helps!

Answer:

Huh??

where on brainly

Step-by-step explanation:

Answer:

Amanda's percent of error: = .03 or 3% Dwyane's percent of error: = .02 = 2%

Looks like Amanda had the larger error.

Answer:

22.8 m

Step-by-step explanation:

the 2 situations are similar triangles

the ratio of corresponding sides are in proportion

let h be the height of the tree , then

[tex]\frac{h}{3.8}[/tex] = [tex]\frac{7.8}{1.3}[/tex] ( cross- multiply )

1.3h = 29.64 ( divide both sides by 1.3 )

h = 22.8 m

Answer:

2,964

Step-by-step explanation:

52 x 57 = 2,964

Answer:

25%

Step-by-step explanation:

Answer:

The total price David paid for the computer is $933.12

Step-by-step explanation:

The cost of the computer will be $1,080 with 20% off and 8% sales tax.

20% of 1080 is 1080(0.20)=216 this means 216 is 20% of 1080, so with the discount the price will be 1080-216=$864

Now we have to find 8% of 864.

864(0.08)=$69.12

So the total price will be 864+69.12= $933.12

Answer:

Hello!!!

In this specific case the constant of proportionality is s (speed).

Step-by-step explanation:

The constant of proportionality stay "constant" (as the name suggests) in a certain case.

meaning, the speed itself remains constant at any given distance or time.

You can use the constant of proportionality and either distance or time to find the missing varliable since it remains constant.

you can also switch up the formula:

d=st

t=d/s

s=d/t

i really hope this helps!!!!!

Answer: 7.81

Step-by-step explanation:

Answer:

y=12.5x

Step-by-step explanation:

Answer:

since we are not given the value of AC we say that AC =6×10=60