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?

Answer:

1a. y= -6x+30

1b. y= -6x-22

2a. y= 3x+2

2b. y= -1x+4

Step-by-step explanation:

48 oranges in 5 minutes means she picked 48 oranges in 300 seconds.

Divide 48 by 300 to get what she would pick in one second.

This equals 0.16

Multiply 0.16 by 120 seconds [how many seconds are in two minutes].

This equals 19.2 oranges in two minutes. As she cannot pick 0.2 of an orange, she could pick 19.

Answer:

66°

Step-by-step explanation:

Given that :

Right angle measure of a triangle are used in a design :

A right angles triangle has one of its angle equals 90 ;a

Since the second angle is given as 24 ; b

The measure of the third angle ; c will be :

Sum of angles in a triangle = 180

(a + b + c) = 180

(90 + 24 + c) = 180

c = 180 - 114

c = 66°

Answer:

[tex]\Huge\boxed{x=8}[/tex]

Step-by-step explanation:

Hello There!

Remember the sum of all of the angles in a triangle is 180

so we can use this equation to solve for x

180 = 50 + 60 + 8x + 6

now we solve for x

step 1 combine like terms

50 + 60 + 6 = 116

now we have

180=8x+116

step 2 subtract 116 from each side

116 - 116 cancels out

180 - 116  = 64

now we have

8x = 64

step 3 divide each side by 8

8x/8=x

64/8=8

we're left with x = 8

Answer:

The second one, the third one.

Step-by-step explanation:

Answer:

3x + 9 = 45

Step-by-step explanation:

3 shirts at x dollars each cost 3x

lunch costs 9

altogether she spent 3x + 9

she spent 45

3x + 9 = 45

Answer:

To find x intercept. Substitute y=0 in the given equation, and solve for x . x−0=5. x=5. Therefore, x intercept =(5,0)

To find y intercept. Substitute x=0 in the given equation, and solve for y . 0−y=5. y=−5. Therefore, y intercept =(0,−5)

Step-by-step explanation:

Answer:

y intercept = -5

x intercept cordinate= (5,0)

Step-by-step explanation:

Answer:

A. 2y

B. (xy − 10)(2x²y + 18y)

Step-by-step explanation:

Part A: Rewrite the expression so that the GCF is factored completely.

2x³y² + 18xy² − 20x²y − 180y

Factoring y out, we have

(2x³y + 18xy − 20x² − 180)y

Factoring 2 out, we have

(x³y + 9xy − 10x² − 90)2y

So, the GCF is 2y and the expression factored is (x³y + 9xy − 10x² − 90)2y

Part B: Rewrite the expression completely factored.

2x³y² + 18xy² − 20x²y − 180y

Rearranging, we have

2x³y² − 20x²y + 18xy²  − 180y

Separating them into brackets, we have

(2x³y² − 20x²y) + (18xy²  − 180y)

Factorizing the expressions in bracket, we have

(xy − 10)2x²y + (xy  − 10)18y

collecting like terms, we have

(xy − 10)(2x²y + 18y)

Answer:

V = 249,000(0.929)^t

Step-by-step explanation:

100% - 7.1% = 92.9% = 0.929

0.929 must be raised to t, the number of years.

V = 249,000(0.929)^t

Answer:

c

Step-by-step explanation:

E=10×10+25

but solve it to make sure

the answer is 130° a p e x

Answer:

Step-by-step explanation:

Price of 1000 bricks = Rs. 3500

Price of 1 brick = 3500 / 1000

                        = Rs. 3.5

Price of 6000 bricks = Rs. 3.5 * 6000

                                 = Rs. 21000

Hope it will help :)

Step-by-step explanation:

let the bricks be x

Bricks

6000 x

1000 3500

3500×6000=1000×x

21000000/1000=X

21000 Answer

Answer:

true

Step-by-step explanation:

sinA² + cosA²=1

⇔(1/2)² + cosA²=1

⇔cosA=±(√3/2)

Yes, the triangle is a right triangle.

A triangle is called a right triangle if it has an angle measuring 90°.

Given that in a triangle if Sin A = 1/2 and Cos A = √3/2, then the triangle is a right triangle,

So,

Sin A = 1/2

Sin A = Sin 60°

A = 60°

Also, we know that the sine and cosine of an angle is complementary,

So,

Sin A = Cos (90-A)

Therefore, Cos(90-30)° = Cos 30° = √3/2

Therefore, ABC is a right triangle.

Hence the triangle is a right triangle.

Learn more about right triangles click;

https://brainly.com/question/6322314

#SPJ2

Answer:

question please can't see any question

Answer:

56

Step-by-step explanation:

56 is the answer

Answer:

I say its 4.4

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

its obtuse which is 90 degrees angle

Answer:

50

Step-by-step explanation:

all triangles angles add up to 180, add up the other 2 sides, then subtract from 180, 130, which means because of how triangles work, the other side must make it equal to 90, so 130+50=180.

Answer:

37.5

Step-by-step explanation:

Answer:

1.575

Step-by-step explanation:

0.75 x 2.1 = 1.575

Hope that helps!

Answer:

1.575

Step-by-step explanation:

Answer:

832

Step-by-step explanation:

multiply the original number by 2, seven times.

Answer:

13

Step-by-step explanation:

using the Pythagorean theorem  a²+b²=c²

or the two shorter sides square added together equal the longest side squared

5²+12²

5²=25

12²=144

144+25=169

then we just have to take the square root of 169

√169=12

have a great day :D

Answer:

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

Step-by-step explanation:

segment YZ is length a, we need to find a

segment XZ is length 5

segment XY is length 12

XYZ is a right triangle, so a^2 + b^2 = z^2, so

a^2 + 5^2 = 12^2, simplify

a^2 + 25 = 144, subtract 25

a^2 = 119

a = [tex]\sqrt{119\\}[/tex]

then we can determine all the trig ratios

soh - cah - toa

sin = opp/hyp, cos=adj/hyp, tan=opp/adj

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

Answer:

(-2,-1)

Step-by-step explanation:

Given

[tex]Q =(-4,1)[/tex]

[tex]R = (-4,4)[/tex]

[tex]S = (2,1)[/tex]

180 degrees rotation

Required

Determine the coordinate point S'

For a 180-degree rotation, the transformation rule is: (x, y) to (-x, -y)

So:

[tex]S = (2,1)[/tex] ==> [tex]S' = (-2,-1)[/tex]

Hence, the coordinate point of S' is (-2,-1)

Answer:

1,-2 did it right

Step-by-step explanation:

Answer:

I'm guessing 25.

Step-by-step explanation:

i don't know the relation between those two triangles, but they look like they're congruent so the side lengths would be the same and 3+12+10=25

Answer:

x= -3

Step-by-step explanation:

if u want explain let me know

Answer:

x = -3

Step-by-step explanation:

5x + 20 = 5

Subtract 20 from both sides

5x + 20 - 20 = 5 -20

{If two numbers have different sign, subtract and the result will have the sign of the bigger number. 20 -5 = 15, bigger number is 20, so -15}

              5x  = - 15

Divide both sides by 5

              5x/5 = -15/5

x = - 3