Bob challenges Alice to a swimming race from one end of a 10-meter pool tothe other. Bob is so confident he will win that he lets Alice use the starting blockbecause diving in from there will give her a lead. He will start in the pool at the wall.Alice accepts the offer. At time t=0 seconds, Alice hits the water 2 meters out fromthe edge of the pool at a constant speed of 1 meter per second, which she maintainsthroughout the race. Meanwhile, at t=0, Bob starts off from rest at the pool walland is speeding up. Bob’s distance from the wall at any given time, t, is given byBt()=0.25t2, where Bt() measures the distance from the starting point at the poolwall. Will Bob be able to beat Alice to the opposite end of the pool? Is it possible forBob to win, and if so, how long would the pool need to be for him to win?

area of rectangle = length×breadth

area of square = side×side

Answer:

Center (6, -3)

Radius 5

Answer:

Area = 120

Step-by-step explanation:

Triangle formula:

[tex]\frac{1}{2}[/tex](b x h)

Given:

[tex]\frac{1}{2}[/tex](10 x 24)

Multiply 10 and 24 to get 240.

10 x 24 = 240

Divide 240 and 2 to get 120.

240 ÷ 2 = 120

So answer is 120.

Answer:

Step-by-step explanation:

Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman

Answer:

I got this answer right its 56

Step-by-step explanation:

I got this question right

Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74

Number with brown eyes or brown hairs :

Brown eyes + Brown hairs + Both brown hairs and brown eyes

(34 + 22 + 18) = 74

Therefore, 74 males have brown eyes or brown hairs

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Answer:

y=-3

Step-by-step explanation:

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

Answer to equation:

y = 1 1/3

Step-by-step explanation:

for this problem we see that we are starting below 0 and going up to one, all we have to do is solve for the distance between the two numbers, as shown

(-1/3) + 1/3 = 0

0 + 1 = 1

now to simplify, we just add the total amount of change between the two numbers

1/3 + 1 = 1 1/3

NOTE: this can be done by just adding the absolute value of each number if one is a negative number and one is a positive number, wich is basically what i did

-1/3 = |1/3|

1 = |1|

|1/3| + |1| = |1 1/3| or total amount of change

but if you are working with two positive or two negative numbers, then subtract the lesser of the two absolute values as so

-2 + x = -5

-2 = |2|

-5 = |5|

|5| - |2| = |3|

3 = amount of change

3 = x

-2 + -3 = -5

Answer:

12cm 7cm 5cm

Step-by-step explanation:

Since 7 + 5 is = 12, it cannot be a side of a triangle. If you add any 2 numbers, the sum must be greater than the 3rd one.

Answer:

13.7

Step-by-step explanation:

15^2-6^2=189

The square root of 189 is 13.74 blah blah blah

Answer:

13.7

Step-by-step explanation:

a²+b²=c²

a²+6²=15²

a²+36=225

a²=189

a≈13.7

Answer:

$5

Step-by-step explanation:

Create a system of equations where p is the cost of a pizza and c is the cost of a cake

8p + 10c = 160

26p + 8c = 226

Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5

-32p - 40c = -640

130p + 40c = 1130

Add these together:

98p = 490

p = 5

So, the cost of a pizza is $5

Answer:

200

Step-by-step explanation:

basically, all you have to do is plug in 30 for n. You would get -3 + 7(30-1), and then you would get -3 + 7 x 29, and then you would get -3 + 203, and the final answer would be 200

Answer:

30 ft^2

Step-by-step explanation:

Break the figure into smaller pieces:

5*2=10

10*2=20

Add the areas

20+10=30

The are of the figure is 30 ft^2

Answer:Mean and Normally distributed

Step-by-step explanation:

Answer:

The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

321

Step-by-step explanation:

because  100+221 equals 321

Hope this helped.

Answer:

I think 324. Please tell me if wrong. I will try again.

Step-by-step explanation:

9*12*6=648

648/2=324

Answer:

answer is 530.66 hope this helps!

13×13=169

169×3.14=530.66

Answer:

I don't know if this is the answer but I got 530.66

Step-by-step explanation: the formula is A=pi r squared

you multiply 13 twice because in the formula you have to square the radius then you have to multiply what you get in this case 169 then you multiply it by pi which is 3.14 by 169 and you get 530.66 hopefully it is right let me know and if so brainliest please:)

The minimum amount of fabric needed for a sandbox is,

⇒ 72 feet²

We have to given that;

A sandbox in the shape of a trapezoid is show below.

And, a cover is to be made for the sandbox.

Hence,

The minimum amount of fabric needed for a sandbox is,

⇒ Area of fabric = 9 × 7 + (1/2 × 9 × 2)

                         = 63 + 9

                         = 72 feet²

Thus, The minimum amount of fabric needed for a sandbox is,

⇒ 72 feet²

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Answer:

2

Step-by-step explanation:

y2-y1 = 5-1 =4

x2-x1= 2-0 =2

4/2=2

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{5 - 1}{2 - 0} \\ = \frac{4}{2} \\ = 2[/tex]

Answer:

70.99

Step-by-step explanation:

Use Pythagorean Theorem to find the shortest distance.

80^2-50^2=3900

Square rt= 62.44

Subtract by 15

47.44

Next find half of the circular path it is (3.14 x 15)/2

23.55

Add 47.44+23.55=70.99

Hope this is correct

Answer:

OBAMA

Step-by-step explanation:

Answer:

obama

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

Answer:

There were 54 children in each bus.

Step-by-step explanation:

Answer:

B. 75.36 cubic cm

Step-by-step explanation:

We will use the formula V=π times r² times h

so, V= 3.14 times 2² times 6

so, V= 3.14 times 4 times 6

= 3.14 times 24

=75.36 cubic cm

Answer:

d

Step-by-step explanation:

Answer:

the solution is (-8, 4)

Step-by-step explanation:

Let's use the addition/subtraction method here to eliminate one variable:

-x+y=4

x+3y=4

Combining these two equations results in

4y = 8, so that y = 2.  Substituting y = 2 into the second equation, we get:

x + 3(2) = 4, or x = -2.

Then the solution is (-8, 4)

Answer:

A, B, C

Step-by-step explanation:

15x+45

3 (5x + 15)

5(3x +9)

15(x + 3)

Answer:

The answer would be 15 cookies.

Step-by-step explanation:

Cookies = 24 cents each

Pop = 45 cents each

you would need about 2000 pennies to have enough to buy two cookies, 2000-50=1950, so if you have 50 cents you would need 1,950 more pennies to be able to get 2 cookies

Answer:

32 : 24 is smaller

Step-by-step explanation:

32 : 24 = 32/56, reduced is 4/7

30 : 22 = 30/52, reduced is 15/26

a common denominator is 182:

4/7 = 104/182

15/26 = 105/182

Answer:

m∠SBE = 26°,  [tex]m\hat O B[/tex] = 126°

Step-by-step explanation:

The arc of a circle is a portion of the circumference of the circle. For a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.

Central angle is an angle whose vertex is on the center of the circle and endpoints on the circumference of the circle. If the endpoints of the central angle are are also the endpoints for the angle's intercepted arc, then both angles are congruent.

Also, the angle at the center is twice the angle at the circumference.

Angle at center = [tex]m\hat S E[/tex] = 52° (central angle is congruent with angle that intercept the arc)

2 * m∠SBE = central angle (angle at the center is twice the angle at the circumference)

2 * m∠SBE = 52

m∠SBE = 26°

2 * m∠BEO = central angle (angle at the center is twice the angle at the circumference)

2 * 63 = central angle

central angle = 126°

Angle at center = [tex]m\hat O B[/tex] = 126° (central angle is congruent with angle that intercept the arc)