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Answer:

The answer is the 3rd one.

Answer:

[tex]2\pi \times r[/tex]

1. 2×3.14×80

=502.4 m

4. 90 pound on Earth weighs 34 pounds on Mars.

If it weighs 135 pounds on earth, it will weigh x pounds on Mars

=90×=135×34

=90x=4590

=x=4590÷90

x=51 pounds

So therefore it weighs 51 pounds on Mars.

Step-by-step explanation:

in question 4 you have to cross multiply

Answer:

the two points be

(0,0) and (1,-3)

slope [m]=[-3-0]/[1-0]=-3

constant rate is-3.

Answer:

2nd

Step-by-step explanation:

bec 1\8  = 0.125 so it must be close more to 0

and the 1.33 is bigger than 1.25

Answer:i think that it is B

u^2 - 10u + 51=0

Step-by-step explanation:

Answer:

You end up at point (7,5).

Step-by-step explanation:

Starting point:

The coordinates of the starting point are: x = 4, y = 6.

So

(4,6).

Move 3 units right:

Moving 3 units right is adding 3 to the x-coordinate. So

x = 4 + 3 = 7

(7,6).

Move 1 unit down:

Moving 1 unit down is subtracting 2 from the y-coordinate. So

y = 6 - 1 = 5.

You end up at point (7,5).

Answer:

x = 20

Step-by-step explanation:

x/10 = 2

Multiply each side by 10

x/10 * 10 = 2*10

x = 20

Answer:

2,144.66 miles³

Step-by-step explanation:

v = (4/3)πr³

v = (4/3)π(8³)

v = 2,144.6605848506

Rounded

2,144.66 miles³

Answer:

31 feets

Step-by-step explanation:

Given that :

Telephone shadow Ts = 12 feets

Man's height, Mh= 6 feets

Man's shadow, Ms = 2 feets 4 inches

Height of telephone, Th =?

Recall :

1 foot = 12 inches

x foot = 4 inches

12x = 4

x = 4/12 = 1/3 inches

Hence, man's shadow = 2 1/3 feets =

Using cross multiplication :

Mh / Ms = Th / Ts

6 / 7/3 = Th / 12

6 / 2.33333 = Th / 12

12 * 6 = 2.33333 * Th

72 = 2.33333 Th

Th = 72 / 2.333333

Th = 30.85

Height of telephone pole = 31 feets

Step-by-step explanation:

exterior angle

-> (4x + 6)° = x + 102°

3x = 102° - 6°

3x = 96°

x = 32°

4x + 6°= 4×32° + 6° = 128 + 6 = 134°

Step-by-step explanation:

let,

p(A)={1,2,3,4}

p(B)={3,4,5,6}

p(AnB)={3,4}

now,

LHS=RHS. proved.

hope it helps.

Answer:

Step-by-step explanation:

The integers are: x, x+2

Them, x + x+ 2 = 36

2x +2 = 36

Answer:

arcBC = 140degrees

Step-by-step explanation:

From the given digaram;

Angle at the center is twice angle at the circumference

Hence;

m<CAB = 2(m<CDB)

m<CAB = 2 * 35

m<CAB = 70degrees

Also;

m<CAB = 1/2 arcBC

70 = 1/2arcBC

arcBC = 70*2

arcBC = 140degrees

Answer:

D im not sure but i hope its right

Step-by-step explanation:

You're right its the answer is C

Answer:

[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is [tex]a(t) = 2t + 5[/tex]

Velocity:

[tex]v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K[/tex]

In which K is the constant of integration, which is the initial velocity. So K = -3 and:

[tex]v(t) = t^2 + 5t - 3[/tex]

Position:

[tex]s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K[/tex]

In which K, the constant of integration, is the initial position. Since it is 12:

[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]

Answer:

First of all what are those white figure?

Answer: 36 cubic feet

Step-by-step explanation:

Answer:

AOB=40°

COD=90°

BOD=130°

AOD=180°

Answer:

Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Replace n by 10 in the rule a(n) = -9 + 5(n - 1):

a(10) = -9 + 5(9) = 45 - 9 = 46

Answer:

If there's no other variables involved.

x=1

Answer:

x = 1

Step-by-step explanation:

x = 4 - 3

4 - 3 = 1

Hence, x = 1

Answer:

20.5

Step-by-step explanation:

By the Triangle Midsegment Theorem, the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side. Therefore, (1/2)FH ≡ IH, (1/2)HG ≡ HJ. Knowing that IJ = 8 gives you the presidence to solve for the perimeter.

Answer:

The probability that a house has a backyard given that has a garage is 76.60%.

Step-by-step explanation:

Given that in New England 47% of the houses have a garage and 36% of the houses have a garage and a backyard, to determine what is the probability that a house has a backyard given that has a garage the following crossed multiplication must be performed:

47 = 100

36 = X

(36 x 100) / 47 = X

3,600 / 47 = X

76.5957 = X

Therefore, the probability that a house has a backyard given that has a garage is 76.60%.

Answer:

b. because if there is a bigger population the sample will be more random

Answer:

7.2

Step-by-step explanation:

just divide the total weight by 2 and add 2.6. after adding 2.6 you subtract that weight from the total.

Answer:

20%

Step-by-step explanation:

Probability is always expressed as a part of a whole, thereby in fractions or percentages. From the statistics gathered, it said that 80% of the time, the plane arrives right on schedule in El Centro. That means that the probability of NOT arriving on time is the other portion, which is 20%. The answer is 20%.