Anybody Know This. ?

Answer: 4 feet

Step-by-step explanation:

In order to determine the length of side, we need to use what is called the Pythagorean theorem, which states: a² + b² = c² The a and b in this equation are both of the sides of the triangle that we call legs. (I have attached a picture for reference if you do not know what sides I am referring to). The c in this equation refers to the hypotenuse of the triangle. (Again, please refer to the attached photo).

So now, we need to plug in the information we already know into this equation. The height of the ramp will be our a and the distance from the box will be our b. We can see that the hypotenuse (c) is labeled as 5, so we can fill in that information in our equation.

a²+b²=5² (simplify by squaring the 5)

a²+b²=25

Next, we know that the height of the box is 3 feet, which let's us know that our a is 3. Let's plug this new information in.

3²+b²=25 (simplify by squaring the 3)

9+b²=25 (simplify by substracting the 9 from both sides)

b²=16

Hey! Now our equation looks much simpler! Now, all we need to do it square root both of the sides in order to get b by its self.

b²=16

√b² = b

√16 = 4

Final answer: b = 4

I truly hoped this explanation helped! If you feel you still need a bit of help, David May explains the Pythagorean theorem very well in his video titled, "Find The Hypotenuse Using Pythagorean Theorem | Dave May Teaches" if you would like to check it out. Take care! :)

Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund. If you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.) 4 months 6 months 10 months 11 months

Complete the third step to solve the equation,
3 + 2x=-6x + 4
1.
Isolate the variable term on one side:
3 + 8x = 4
2.
Isolate the constant on the other side:
8x = 1
3.
Solve forx:
22
I need help with thissss

Help please
1/4 (8x + 12y +16z)

The speed limit is 35 mph

Which equation represents the statement?

[tex]a. \: s < 35[/tex]
[tex]b. \: s \leqslant 35[/tex]
[tex]c. \: s > 35[/tex]
[tex]d. \: s \geqslant 35[/tex]
​

which statement and reason are missing in the proof? A=A; reflexive

what is 2x + y = -14 in slope intercept form?

(GIVING BRAINLIEST!!)

Describe an example of how gravity acts on a falling object and one way an object can overcome gravity.

Write an equivalent expression using the commutative property of multiplication.
5 x (2 x 6) =

What implications can you draw based on the coefficient of variation from these two data sets?

Summary statistics for WEIGHT and HEIGHT (both ratio variables) of American adults in different units:

Weight Height

Mean 160 pounds 66 inches

SD 30 pounds 4 inches

You cannot compare these two data sets using a coefficient of variation because they are in different units

A. That both sets of data are equally variable.

B. That the weight data is more variable than the height data.

C. That the height data is more variable than the weight data.

What does acosd mean?​

extra poing again happy thanks giving

What is the mode for the set of data? 6,7,10,12,12,13

10
12
13
11

pls help me with the question?​

Write the constant term in 5a3b + 2ab2 + 3.

PLEASE HELP ASAP PLEASE An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, the store offers a free bottle of the additive to customers who drive SUV's, who then provide information about their gas mileage on the store website. A customer argues that the type of vehicle could be a confounding variable in this study.

Which statement best describes the effect of the confounding variable?

Because vehicles of different sizes may respond similarly to the additive, it should be easy to conclude whether the additive improves gas mileage.
Because vehicles of different colors may show differences in gas mileage, the additive may improve the gas mileage in some vehicles but not in others.
Because owners of different types of vehicles may choose not to use the additive, those vehicles will not show an improvement in gas mileage.
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

solve
[tex] \frac{3x + 4}{2} = 9.5[/tex]
​

What are the solutions to the following system?
-2x²+y=-5
y=-3x2+

The graph below shows the hours students spent studying and their language arts test scores.

Hours Spent Studying vs. Language Arts Test Scores
A graph has hours spent studying on the x-axis and language arts test scores on the y-axis. A line goes through points (2.5, 60) and (5, 80).

Based on trend line on the graph, what is the expected test score for a student who did not study?
0.5
8
40
45

A number line going from negative 10 to positive 10. A point is at negative 6.
What is the opposite of the graphed integer?

The opposite is .

I started swimming at 8am.
12
9
3
6
When I finished swimming, the minute hand of the clock had turned 360°
What time did I finish swimming?

Molly had 6 or 33% robins in her yard. Does she need to find a percent, part or whole

g(n) = n + 2; Find g(6)

−5 −4 −3 −2 −1
0
1
2
3 4
5
Copyright © by Savvas Learning Company LLC. All Rights Reserved. 7
Name
Reteach to Build
Understanding
1-3
If you are adding two positive integers, the sum will be positive.
3 + 5 = 8
If you are adding two negative integers, the sum will be negative.
-3 + (-5) = -8
If you are adding a negative integer and a positive integer, find the difference of the
absolute values. The sum will have the sign of the addend with the greater absolute value.
-3 + 5 = 2
-3 6
5 , so the sum is positive.
Paula dives into a swimming pool from a diving board 2 feet above the
water’s surface. She descends to a depth 7 feet below the diving board.
How far is Paula from the surface of the water?
1. What integer represents Paula’s starting height above the water?
2. What integer represents the total distance Paula descends?
3. Write an addition expression to represent Paula’s distance below
the water’s surface.
4. On the number line below, the arrow represents Paula’s starting
height above the water. Draw an arrow to represent Paula’s dive
into the water. Where does your arrow end?

Pine trees and juniper trees are common to the San Bernardino

mountains. Pine trees have a mean height of 52 meters with a

standard deviation of 3 meters. Juniper trees have a mean

height of 22 meters with a standard deviation of 5 meters.

(a) At the base of a trail, there is a 48-meter-tall pine tree and a

33-meter-tall juniper tree. Calculate the Z-score for each of

these trees.

If necessary, round your answers to the nearest 2 decimal

places. Write both answers in the text box below.

Danny took a math test and got 35 correct and 10 incorrect answers. What was the percentage of the correct answers? (Round your answer the the nearest hundredth)

A student earned a grade of 80% on a math test that had20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)

help in dying please​

please help. image below

The angle that is an alternate interior angle with angle 1 is angle ?

The table below shows the U.S. average life expectancy at birth, in years,
in various decades.
Years since
1930
Life
Expectancy at
Birth
10
62.9
68.2
20
69.7
30
70.8
40
73.7
50
75.4
60
77.0
70
80
78.7
Us

You work for a landscaping company and need to purchase a new trailer. The original price of the model you are looking at is $1,799, but the trailer is currently on sale for 15% off.