Help me please for 10pt

Suppose that a cyclist began a 374 mi ride across a state at the western edge of the state, at the same time that a car traveli

kherson [118]

This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph

4 0

3 years ago

Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string

Nadya [2.5K]

Answer:

The kite is 202.7 feet above the ground

Step-by-step explanation:

The scenario is depictedd in the picture attached

we have to find the height.

Trigonometric ratios will be used to find the height.

So,

$sin\ (42.5) = \frac{h}{300}\\ 0.6756=\frac{h}{300}\\0.6756*300=h\\202.68 = h$

The height is 202.68 feet

Rounding off to the nearest tenth

202.7 feet

Therefore, the kite is 202.7 feet above the ground ..

3 0

3 years ago

Does anyone know how to do these? I don’t want the answers I need someone to explain how to do them so I can solve it. Thanks

ElenaW [278]

Hi! This type of equation is actully really simple to solve once you learn how so I'll only do a few and let you solve the rest.

To solve 3x + 6 = 18 you just need to remember that whatever action you do on one side of the equal sign you have to do on the other as well, and you just need to get the variable isolated on one side and the constant on the other.

So subtract 6 from both of the constants (6 and 18) to get to 3x = 12.

Then divide both sides by 3 to isolate x and you get x = 4.

To solve x/7 -9 = -7 you have to add 9 to both sides to get x/7 = 2. Then because it's a fraction with a denominator of 7 you multiply both sides by 7 to get x = 14.

To solve 8x - 2x = -36 you combine like terms to get 6x = -36 then divide both sides by 6 to get x = -6.

Hope this is what you were looking for and explained in an understandable way, if not I apologize. :)

5 0

2 years ago

1/2 of lla's workspace is covered in paper.1/3 of the paper is covered in yellow sticky notes.What fraction of lla's workspace i

Blababa [14]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

We have been given that 1/2 of Ila's work-space is covered in paper.1/3 of the paper is covered in yellow sticky notes.

First of all, we will draw a model to represent our given information as shown in the attached image.

To find the fraction of Ila's work-space that is covered in yellow sticky notes, we need to find 1/3 of 1/2 as:

$\text{Ila's work-space that is covered in yellow sticky notes}=\frac{1}{2}\times \frac{1}{3}$

$\text{Ila's work-space that is covered in yellow sticky notes}=\frac{1}{2\times 3}$

$\text{Ila's work-space that is covered in yellow sticky notes}=\frac{1}{6}$

Therefore, $\frac{1}{6}$ of Ila's work-space is covered in yellow sticky notes.

3 0

3 years ago

PLEASE HELP!!!!

Sergio [31]

Answer:

11. The sampling method is biased. This is because the researcher only interviews people coming out of the restaurant instead of people in the restaurant or walking on the street. This would be called convenience sampling.

12. There is bias in the question. The writer prefers chocolate over vanilla by the words used to describe the two flavors.

(Sorry if this was too late for you by the way.)

4 0

2 years ago