All categories

4 years ago

A bike ramp has a slope of 1/4. What is the angle the ramps makes with the ground to the nearest degree?

1 answer:

4 0

The slope is equivalent to the rise over run. Since the slope of the bike ramp is ¼, the rise is equivalent to 1 and the run is equivalent to 4. To get the angle of the bike ramp make with the ground, let us use the equation tanθ= rise/run.

Therefore, tanθ= ¼.

Θ=tan-1 (1/4)

So the angle of the bike ramp is Θ= 14degrees

You might be interested in

a. Fill in the midpoint of each class in the column provided. b. Enter the midpoints in L1 and the frequencies in L2, and use 1-

Tresset [83]

Answer:

$\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & {64} & {63-65} & {1} & {67} & {66-68} & {11} & {70} & {69-71} & {8} &{73} & {72-74} & {7} & {76} & {75-77} & {3} & {79} & {78-80} & {1}\ \end{array}$

Using the frequency distribution, I found the mean height to be 70.2903 with a standard deviation of 3.5795

Step-by-step explanation:

Given

See attachment for class

Solving (a): Fill the midpoint of each class.

Midpoint (M) is calculated as:

$M = \frac{1}{2}(Lower + Upper)$

Where

$Lower \to$ Lower class interval

$Upper \to$ Upper class interval

So, we have:

Class 63-65:

$M = \frac{1}{2}(63 + 65) = 64$

Class 66 - 68:

$M = \frac{1}{2}(66 + 68) = 67$

When the computation is completed, the frequency distribution will be:

Solving (b): Mean and standard deviation using 1-VarStats

Using 1-VarStats, the solution is:

$\bar x = 70.2903$

$\sigma = 3.5795$

<em>See attachment for result of 1-VarStats</em>

8 0

3 years ago

A sandbox has a perimeter of 21 1/2 feet. If the length is 5 1/4 feet, what is the area of the sand box?

LiRa [457]

The perimeter of a rectangle is twice the sum of length and width, so the sum of length and width is half the perimeter, 10 3/4 ft.

The width will be the difference between this and the length, hence 5 1/2 ft.

The area is the product of length and width.
A = length×width
A = (5.25 ft)×(5.5 ft) = 28.875 ft²

The area of the sandbox is 28 7/8 ft².

4 0

3 years ago

Tara has two bags of marbles. the first bag contains 6 red marbles, 5 blue marbles and 4 green marbles. the second bag contains

Alina [70]

Answer:

From the first bag the probability is 5 out of 15 or 1/3 simplified

The second bags probability is 4 out of 9

All the bags combined the probability is 9 out of 24

Step-by-step explanation:

The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator

With everything said all you have to do is figure out the two steps an you’re good to go

7 0

3 years ago

What type of triangle is triangle ABC give reasons for your answer help please I need 1 more mark But I don't know what I'm doin

ladessa [460]

Answer: isosceles

Step-by-step explanation:

By the alternate interior angles theorem, $\angle CAB=50^{\circ}$

Since angles in a triangle add to 180 degrees, $\angle ACB=180^{\circ}-80^{\circ}-50^{\circ}=50^{\circ}$

Since sides opposite equal angles in a triangle are equal, $AB=BC$ .

So, triangle ABC is <u>isosceles</u>

7 0

2 years ago

Q7.

VLD [36.1K]

Answer:

Step-by-step explanation:

Let c = sum of ages of all children.

mean age of all children = c/15 = 7

c = 15 * 7 = 105

The sum of the ages of all children is 105.

Let b = sum of ages of the 9 boys.

mean age of boys = b/9 = 5

b = 9 * 5 = 45

The sum of the ages of the boys is 45.

The sum of the ages of the girls is c - b.

c - b = 105 - 45 = 60

The number of girls is 15 - 9 = 6

mean age of girls = (sum of ages of the girls)/(number of girls) =

= 60/6 = 10

3 0

3 years ago