Answers
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)
25 - 9 = 16b²=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! :)
Related Questions
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.
Answers
Answer:
Z-score = 0.9450
Step-by-step explanation:
Step(i):-
mean height of pine tree (x₁⁻) = 52
standard deviation of pine tree σ₁ = 3
Mean height of Jupiter tree ((x₂⁻) = 22
standard deviation of Jupiter tree σ₂ = 5
Size of first sample n₁ = 48
size of second sample n₂ = 33
Step(ii):-
Z-score
[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{S.D^{2} }{n_{1} }+\frac{S.D^{2} }{n_{2} }} }[/tex]
[tex]Z = \frac{52 -22 }{\sqrt{\frac{3^{2} }{48 }+\frac{5^{2} }{33 }} }[/tex]
Z = 0.9450
What are the solutions to the following system?
-2x²+y=-5
y=-3x2+
Answers
Answer:
Simplifying
y = -0.4 + 0.6x
Step-by-step explanation:
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.
Answers
Answer:
B. That the weight data is more variable than the height data.
Step-by-step explanation:
Given that :
_________ Weight _____ Height
Mean ___ 160 pounds ___ 66 inches
SD _____ 30 pounds ____ 4 inches
The Coefficient of variation is the ratio of the standard deviation and mean of a particular variable.
Weight in pounds :
Standard deviation in pounds / mean in pounds
30 / 160 = 0.1875
Height in inches :
Standard deviation in inches / mean in inches
4 / 66 = 0.060
0.1875 > 0.060
Hence, weight data is more variable than height data.
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
Answers
Answer:
cccc
Step-by-step explanation:
it is correct on edge
The expected test score for a student who did not study is 40.
Option C is the correct answer.
We have,
Given that the line on the graph passes through the points (2.5, 60) and (5, 80), we can use this information to estimate the expected test score for a student who did not study.
Let's calculate the slope of the line using the two given points:
Slope = (change in y)/(change in x)
= (80 - 60)/(5 - 2.5)
= 20/2.5
= 8
The slope of the line is 8, which indicates that for every additional hour spent studying, the test score increases by 8 points.
Since we are looking for the expected test score for a student who did not study (0 hours spent studying), we can substitute x = 0 into the equation of the line to find the corresponding y value (test score).
y = mx + b (where m is the slope and b is the y-intercept)
Using the given points, we can find the y-intercept (b) by substituting one of the points into the equation:
60 = 8(2.5) + b
60 = 20 + b
b = 60 - 20
b = 40
The equation of the line is y = 8x + 40.
Now, substitute x = 0 into the equation to find the expected test score:
y = 8(0) + 40
y = 0 + 40
y = 40
Thus,
The expected test score for a student who did not study is 40.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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solve
[tex] \frac{3x + 4}{2} = 9.5[/tex]
Answers
Step by step:
(3x+4)/2 = 9.5
3x+4 = 9.5*2
3x+4 = 19
3x = 19 -4
3x = 15
x = 5
g(n) = n + 2; Find g(6)
Answers
Answer:
g(6)=8
Step-by-step explanation
they give you that the value of n is 6 so substitute it into the equation and solve. g(6)=6+2
g(6)=8
The angle that is an alternate interior angle with angle 1 is angle ?
Answers
Answer:
the alternate angle is angle 2
Answer:
2
Step-by-step explanation:
Alternate interior angles are two angles that are on opposite sides of the transverse and on the inner (interior) side of the two parallels.
help in dying please
Answers
Answer:
hello! :) i hope your having a wonderful day :)
Step-by-step explanation:
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)
Answers
Answer:
1. 78%
2. 16
Step-by-step explanation:
35 + 10 = 45
Danny got 35/45 answers correct.
Divide 35 into 45
35 ÷ 45 = .777777778
.777777778 ≈ .78
To convert a decimal to a percentage, move the decimal point two spaces behind.
.78 = 78%
Danny got 78% of the answers correct.
80% = .8 = [tex]\frac{8}{10}[/tex]
Multiply [tex]\frac{8}{10}[/tex] by 20 to get the answer
[tex]\frac{8}{10}[/tex] × [tex]\frac{20}{1}[/tex] = [tex]\frac{160}{10}[/tex]
Simplify
[tex]\frac{160}{10}[/tex] = 16
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.
Answers
You could also multiply .15 by $1,799, you get 269.85 (which is the discount with the sale). Subtract this value from 1799 and you would get the current price of the trailer (above)
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 .
Answers
the answer is 6
your welcome!
lol
Answer:
6
Step-by-step explanation:
(●'◡'●)
extra poing again happy thanks giving
Answers
Answer:
Thanks for points :)
Step-by-step explanation:
I like ice cream :D
Answer:
TY!! :)
have a great day!
Step-by-step explanation:
What does acosd mean?
Answers
Answer:
Y = acos( X ) returns the Inverse Cosine (cos-1) of the elements of X in radians. The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], acos(X) returns values in the interval [0, π].
Step-by-step explanation:
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
Answers
which statement and reason are missing in the proof? A=A; reflexive
Answers
Answer:
a i guess there isnt a queston here
Step-by-step explanation:
Answer: hello there! the answer is a. <A ≅ <A; reflexive property, hope this helps :)
Step-by-step explanation: i just completed the unit practice test and got 100%
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?
Answers
Answer:
360° will be when the clock has passed an hour, e.g. from 12 to 12. One hour is 60 minutes from 12 to 12, your answer is 9am
please help. image below
Answers
−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?
Answers
Answer: /21/7/3
Step-by-step explanation:
Help please
1/4 (8x + 12y +16z)
Answers
Answer:
8+12+164
Step-by-step explanation:
Molly had 6 or 33% robins in her yard. Does she need to find a percent, part or whole
Answers
Answer:eita moçaa
Stedssfsdsvbg´xclmvb´zdmfbhd
da
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.
Answers
Answer:
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.
Step-by-step explanation:
Edge 2021
Whether the addition increases gas mileage for all vehicles may be difficult to determine.
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive
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.
The type of vehicle is a confounding variable because it is related to both the independent variable (use of the fuel additive) and the dependent variable (gas mileage), and it could potentially influence the results of the study if not controlled for.
This is because the size of the vehicle, a complicating variable, may alter gas economy independently of the addition, making it challenging to assess the additive's actual impact. As a result, the study's findings might be erroneous or misleading.
Learn more about sample space here:
brainly.com/question/30206035
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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
Answers
Answer:
the answer is c
Step-by-step explanation:
because all the other ones are wrong besides d and c and I did the math and it was c
Answer:the answer is d
Step-by-step explanation:
(GIVING BRAINLIEST!!)
Describe an example of how gravity acts on a falling object and one way an object can overcome gravity.
Answers
Answer:
when you drop a pencil it will fall to the ground when you are in space if you drop a pencil than if will float
Step-by-step explanation:
pls help me with the question?
Answers
Answer:
17 I'm pretty sure.
Step-by-step explanation:
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
Answers
Answer:
Answer is wrong
Step-by-step explanation:
Couldn't tell you how to get the answer I just know that when I got this answer wrong it told me the right answer.
In fact, most of the answers for this portion are wrong on here.
10. $1,201.33
11. $629.23
12. $7.74
13. $347.51
14. $3,753.78
15. 6
16. $25.24
17. $416.70
18. $2,903.67
19. $22.96
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]
Answers
Answer:
[tex] b.~~s \le 35 [/tex]
Step-by-step explanation:
The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.
Answer:
[tex] s \le 35 [/tex]
what is 2x + y = -14 in slope intercept form?
Answers
Answer:
y = -2x - 14
Step-by-step explanation:
Slope intercept form: y = mx + b
2x + y = - 14
y = -2x - 14
What is the mode for the set of data? 6,7,10,12,12,13
10
12
13
11
Answers
because it is the only number that appears more than once which is basically the definition of mode.
Write the constant term in 5a3b + 2ab2 + 3.
Answers
Answer:
the answer will be this
Write an equivalent expression using the commutative property of multiplication.
5 x (2 x 6) =
Answers
Answer:
2 x (5 x 6)
Step-by-step explanation:
When you switch the order around this way it comes out the same
5 x (2 x 6) -> 5 x (12) -> 60
2 x (5 x 6) -> 2 x (30)-> 60