There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?

Answer:

(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is given by:

[tex]V_R = A_{b}*h[/tex]

In which [tex]A_b[/tex] is the base area and h is the height.

Volume of a pyramid:

[tex]V_P = \frac{A_{b}*h}{3}[/tex]

Relation:

From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.

A rectangular prism has a volume of 198 cm³

So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.

The correct answer is given by option B.

Answer:

6

Step-by-step explanation:

Answer:

4x - 11

Step-by-step explanation:

Answer:

5.  Since ∠CBD ≅ ∠CDB and ∠BAE ≅ ∠DEA, ΔABD and ΔBDE are equal. Therefore, the distances AD and EB are the same.

6.  Since ∠EBC ≅ ∠ECB and AE ≅ DE, ΔABE and ΔCDE are equal. Therefore, the distances AB and DC are the same.

I hope this helps!

Answer:

ΔCBD is isosceles as angles B and D are congruent

ΔCAE is also isosceles as angles A and E are congruent

CA ≅ CE as the triangle ΔCAE is isosceles

AD ≅ EB - corresponding parts of congruent triangles

ΔAEB ≅ ΔDEC - SAS congruency theorem

AB ≅ DC - corresponding parts of congruent triangles

Answer:

576.09

Step-by-step explanation:

Answer:

I hope I can help

Step-by-step explanation:

welcome po

Answer:

2.1

Step-by-step explanation:

So you have to reverse the order to get y, so you multiply 7 and .3 because that is the opposite of division

your answer is 2.1

Answer:

a

Step-by-step explanation:

Answer:

A?

Step-by-step explanation:

Answer:

3.46

Step-by-step explanation:

Step-by-step explanation:

977.85-2.5%= 953.40

977.85-953.40= £24.45 potentially saved.

Answer:£23.85 is your answer.

x+2.5%ofx=£977.85

x(1+2.5/100)=£977.85

x=£977.85/(1.025)=954

saving money will be =£977.85-954=£23.85

Answer:

A= 4

Step-by-step explanation:

i removed my answer because it was wrong look at the other peoples answers

Answer: 213/40 or 5.325

Step-by-step explanation:

We can find common denominators for 8 1/5 and 2 7/8.

The Lowest Common Denominator for 8 1/5 and 2 7/8 is 40.

8 1/5 = 41/5 = 328/40.

2 7/8 = 23/8 = 115/40.

Now we can subtract.

328/40 - 115/40 = 213/40.

Therefore, the answer is 213/40 or 5 13/40.

Answer:

0 ZER0

Step-by-step explanation:

There is no slope it would be a straight line across the x axis

Answer:

-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-9)/(5-2)

m=-6/3

simplify

m=-2

Answer:

b

j

................................

Answer:

[tex]V=3141.59\ \text{feet}^3[/tex]

Step-by-step explanation:

Given that,

The height of the pile, h = 25 feet

The radius of the pile, [tex]r=1.2\times 10^2\ ft[/tex]

We need to find the volume of the pile of cone. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \times (1.2\times 10^2)\times 25\\\\V=3141.59\ \text{feet}^3[/tex]

So, the required volume of the pile is [tex]3141.59\ \text{feet}^3[/tex].

Answer:

g(x) = f(x–3) + 2

Step-by-step explanation:

If g(x) is just 3 spaces to the right and 2 spaces up from f(x), then g(x) = f(x–3) + 2

Answer:

i have the same question and i think

A. 26.88

B. 80.68

Step-by-step explanation:

Answer:

5x2^5 is 160

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

2^5 is 32. 32 x 5 is 260.

Hope it helps!

Answer:

the answer is 10.5m

Step-by-step explanation:

14.2m+3-2.1m+4.6

= 17.2m-2.1m+4.6

= 17.2m-6.7m

= 10.5m

the answer is 10.5m

Answer:

12.1m + 7.6

Step-by-step explanation:

14.2m + 3 - 2.1 + 4.6

Group like terms:

14.2 - 2.1 + 3 + 4.6

Add similar elements:

14.2m - 2.1m = 12.1m=

12.1m + 3+ 4.6

Add the numbers: 3 + 4.6 = 7.6=

12.1m + 7.6.

Answer:

This can't really be factored, but it can be expanded slightly.

(3x³)³ = 27x⁹

Answer: -21, what ever number you have you subtract 3 from that number. So after -9 would be -12 and so on

Answer:

-729

Step-by-step explanation:

Given is a geometric sequence.

Therefore,

a = - 1, r = - 3 /(-1) = 3, n = 7

[tex] a_7 =? [/tex]

[tex] \because a_n = ar^{n-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{7-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{6} [/tex]

[tex] \therefore a_7 = (-1)(729) [/tex]

[tex] \therefore a_7 = -729 [/tex]

Answer:

See below

Step-by-step explanation:

a)

[tex] \frac{20}{ \sqrt{10} } = \frac{20 \sqrt{10} }{ \sqrt{10} \times \sqrt{10} } = \frac{20 \sqrt{10} }{10} = 2 \sqrt{10} [/tex]

b)

[tex] \frac{ \sqrt{2} }{2 \sqrt{5} - 1 } \\ \\ = \frac{ \sqrt{2} \times (2 \sqrt{5} + 1 )}{(2 \sqrt{5} - 1)(2 \sqrt{5} + 1) } \\ \\ = \frac{ \sqrt{2} \times 2 \sqrt{5} + \sqrt{2} \times 1 }{(2 \sqrt{5} ) ^{2} - (1)^{2}} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{20 - 1} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{19} \\ \\ equating \: it \: with \: \\ \frac{ a + \sqrt{b}}{c} \\ \\ a = 2 \sqrt{10} \\ \\ b = 2 \\ \\ c = 19[/tex]

Answer:

The above answer is correct

Answer:

station A

Step-by-step explanation:

Given data

We are told that she has  $85 and she wants to fill only her tank

station A

charges $2.67 per gallon

12 gallons will cost

=12*2.67

=$32.04

station B

charges $2.60 per gallon

12 gallons will cost

=12*2.60

=$31.2

station C

charges $2.62 per gallon

12 gallons will cost

=12*2.62

=$31.44

The cheapest is station A

Answer:

Step-by-step explanation:

x2 - x - 12

x2 - 4x + 3x - 12

x(x - 4) +3(x - 4)

(x - 4) (x + 3) are the factors

Answer:

11

Step-by-step explanation:

14/14=154/14

g=11

Answer:

B. 11

Step-by-step explanation:

14g = 154

[given]

14g ÷ 14 = 154 ÷ 14

[division property of equality, divide both sides by 14 to cancel out the coefficient of 14 in 14g to get g]

g = 154 ÷ 14

[division property, how many times does 14 fit in 154?]

g = 11

________

11 is the solution because when 11 is substituted or plugged in for the variable g, it is multiplied by 14 to make 154.

g = 11 → 14g = 154

14(11) = 154

154 = 154 ✓

Answer:

6 inches high

Step-by-step explanation:

Answer: I can help you....

Step-by-step explanation:

Just copy and pase the question into the go og le sea rc h e ng in e, theres like a 50% chance u will find a similar question just with the words changed up or u will find the exact one. Hope this will help you!

Answer:

for some reason i cant see ur attachment. lo siento

Answer: R = √(3*r^2)

Step-by-step explanation:

For a cylinder with radius r and height H, the volume is:

V = pi*r^2*H

For a cone of height H, and with a base of radius R, the volume is:

V = (1/3)*pi*R^2*H

In this case, we know that both figures have the same height, and the same volume, then we can write:

pi*r^2*H = (1/3)*pi*R^2*H

Now we can divide by pi in both sides to get:

(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi

r^2*H = (1/3)*R^2*H

Now we can divide both sides by H:

(r^2*H)/H = ((1/3)*R^2*H)/H

r^2 = (1/3)*R^2

Now we want to write R in terms of r.

Then we need to isolate R in the above equation:

r^2 = (1/3)*R^2

3*r^2 = R^2

√(3*r^2) = R

R = √(3*r^2)

Answer:

What is your question dude???

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

I just did It :). it went clockwise which is why it's NEGATIVE 30. If it were point D, it'd probably be about 60 degrees or so.

Answer:

7  and 1/10; 7.1

Step-by-step explanation:

the marks on the line each mean 0.1  when hitting 8 therefore meaning 1.0 but the last marked 0.1 is just 7.9