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lora16 [44]
3 years ago
13

Suppose two bicyclists start at the same location.

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Answer:

Step-by-step explanation:

See attachment.

If both cyclists travel for the same time and speed, they will have travelled the same distance.  Since one is headed north and the other east, we can see that the distance between them in one hour is the hypotenuse of a right triangle.  Each leg has distance x.  We can say x^2 + x^2 = (3\sqrt{2})^2

2x^2 =1 8

x^2 = 9

x = 3

They both rode 3 miles.

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labwork [276]
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Answer:

The total number of U.S. high school students that played on a sports team that year can be estimated to be 7,950,000.

Step-by-step explanation:

From the random sample, we can expect that \frac{250000}{500000}=\frac{1}{2} of all students played on a sports team that year. So in the bigger sample of 15900000 high school students, we can expect 15900000 \cdot \frac{1}{2} = 7950000 students to have played on a sports team that year.

7 0
3 years ago
Grandma has 14 red roses and 7 pink roses. How many more red roses than pink roses she have?
Tanzania [10]
7. 14-7=7/ 7+7= 14.
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3 years ago
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Select the correct answer from each drop-down menu.
finlep [7]

Answer:

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Step-by-step explanation:

1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____

Let the coordinates of B be (x_2,y_2)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of C=(x,y)=(3.6,-0.4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

3.6=\frac{3x_2+2(-6)}{3+2} , -0.4=\frac{3y_2+2(5)}{3+2}3.6 \times 5 = 3x_2-12, -0.4 \times 5 = 3y_2+10\\18+12=3x_2 , -2=3y_2+10\\30=3x_2 , -12=3y_2\\10=x_2, -4=y_2\\

Coordinates of B = (10,-4)

2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____

(fraction)

Let the coordinates of D be (x,y)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of B=(x_2,y_2)=(10,-4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

x=\frac{3(10)+2(-6)}{3+2} , y=\frac{3(-4)+2(5)}{3+2}\\x=3.6,y=-0.4

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

4 0
3 years ago
Help with 5??????????
crimeas [40]
Answer is number one. The number inside the bracket is the time and the number after the equal sign is the height. As you can see, at t=5, height=75.
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