If you place a 37-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
Answers
The building will be making 90° with the ground/horizontal.
Then we can apply Pythagoras theorem.
(Base)² + (Height)² = (Hypotenuse)²
=> x² + (12 foot)² = (37 foot)²
=> x² = (37 foot)² - (12 foot)²
We can expand LHS using a² - b² = (a + b)(a - b)
=> x² = (37 + 12 foot)(37 - 12 foot)
=> x² = 49 * 25 foot²
=> x² = (7 * 5)² foot²
=> x = 7 * 5 foot
=> x = 35 foot.
Related Questions
What is the image of (0,12)(0,12) after a dilation by a scale factor of \frac{1}{3} 3 1 centered at the origin?
Answers
Answer:
(1,36)(1,36)
Step-by-step explanation:
Group B & C
Show all work
If Stephen ate 3/4 of the 20 chips below, how many chips did he eat in all?
Answers
5 • 3/4 = 15
Stephen ate 15 chips in total
I need help please help
Answers
Answer:
first one
28.26 im not 100% correct i dont think
i think it’s the first one
the perimeter of a rectangle is 15x+17y. if the length is 7/2x+7y, then find the width of the rectangle
A.) 4x+3/2y
B.) 8x+3y
C.) 8x+10y
D.) 4x+3y
Answers
Answer:
A
Step-by-step explanation:
Length : [tex]\frac{7x}{2} + 7y[/tex]
Perimeter: [tex]15x + 17y[/tex]
Perimeter = 2(Length + Width)
15x + 17y = 2( [tex]\frac{7x}{2} + 7y[/tex] + Width)
15x + 17y = 7x + 14y + 2(Width)
15x + 17y -7x -14y = 2(Width)
8x + 3y = 2(Width)
Width = [tex]\frac{8x + 3y}{2}[/tex]
Width = 4x + 3y/2
Find the number of distinguishable permutations of the letters in MISSISSIPPI.
Answers
Answer:
There are 34,650 permutations of the word MISSISSIPPI - www.medium.com
about 40% of athletes at a gym use a professional trainer. The proportion of success is when p= 0.4. you choose a random sample of 50 athletes at a gym. Use this information to answer questions 14 and 15.
14) What is the standard error of the mean?
15) what interval captures 68% of the proportions for random samples of 50 athletes?
Answers
math is so complicated like dang teacher give us a break
Can someone help me please
Answers
Exact form = 38/15
Decimal form= 2.53...
Mixed number form= 2 8/15
(I hope this helped)
What number do these words represent?
Two-hundred thousand, ninety-seven
Answers
brainliest pls? lol
Whoever helps me will save my life
Answers
Please help I don’t gat this
Answers
Answer:
30 yards
Step-by-step explanation:
the dotted line causes a rectangle and a triangle to be formed. the formula for area of a triangle is base times height divided by 2. you subtract 6 from 9 which is 3 and multiply it by 4 as it is the height of the triangle after, divide by 2 . since 4 and 3 is 12, dividing 12 by 2 is 6 which is the area of the triangle. the area of the rectangle is 6 times 4 which is 24. add 24 and 6 and u get 30
Discount, markup, and commission word problems
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A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.
What is the original price of the pair of headphones?
$
Show Calculator
Stuck? Watch a video or use a hint.
Report a problem
Answers
Answer:
90$
Step-by-step explanation:
X(40%) = 36$
X(40/100) =36
40X = 3600
X = 90$
(recheck: 90$ x 40%= 36$)
Find the solution set of the inequality 3x+5≤-13
Answers
3x < -18
x < -6
Answer:
has to be under / or -13 so ...
x = -6
3(-6) + 5 =
-21 + 5 = -13
..Urgent.. 600 students attend Ridgewood Junior High School. 10% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Answers
Answer:
Number of student bring their lunch = 60
Step-by-step explanation:
Given:
Total number of student = 600
Student bring their lunch = 10%
Find:
Number of student bring their lunch
Computation:
Number of student bring their lunch = Total number of student x Student bring their lunch
Number of student bring their lunch = 600 x 10%
Number of student bring their lunch = 60
What is the mean of the data set?
Enter your answer as a decimal in the box. Round to the nearest tenth.
mean =
Answers
Answer:
2.4
Step-by-step explanation:
1.5+1.5+2+2+2+2.5+3+3.5+4=22
22/9=2.4
Answer:
2.4 I think and hello have a great day
help meh I keep doing bad :/
Answers
Answer:
5,009.206
Explanation:
What is the length, in feet, of the wire?
Answers
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 22 in
x 20 in x 20 in. The company rents a storage space that measures 200 ft x
200 ft x 40 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 313,920 boxes
B. 120,000 boxes
C. 207,360 boxes
D. 8800 boxes
Answers
Answer:
313,920 boxes
Step-by-step explanation:
that good
The number of boxes Graphic Design Works is able to store is 314182 boxes.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Graphic Design Works ships the T-shirts it makes in boxes that measure 22 in × 20 in × 20 in.
Here, the volume of box = 22×20×20
= 8800 cubic inches
The company rents a storage space that measures 200 ft × 200 ft × 40 ft
Here, 200 ft = 2400 inches, 40 ft = 480 inches
Volume of a storage space
= 2400×2400×480
= 2764800000 cubic inches
Here, the number boxes = 2764800000/8800
= 314181.8
≈ 314182
Therefore, the number of boxes Graphic Design Works is able to store is 314182 boxes.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ7
What is the coefficient of y in the expression x+4y+3
Answers
What is the value of xwhen ik o h)(r)
-1?
OA.
2
OB.
-3
O C. 1
OD.
4
I NEED HELP ASAP
Answers
Answer:
4
Step-by-step explanation:
the pounds p of the flour and how many cakes c you can make
Answers
Answer:
How many pounds of flour do you have and how many pounds of flour it takes to make a cake?
Step-by-step explanation:
Select all the expressions that are equivalent to - 2/5 (15-20d + 5c).
-6 + 8d - 2c
-2c + 8d - 6
-2(3 - 4d + c)
-30 + 40d - 100
O 6-8d + 20
Answers
I need help. q – 12 = 1
Answers
Answer:
q=13
Step-by-step explanation:
Given q - 12 = 1
we need to find q
to do so we need to isolate the variable using inverse operations
so to get rid of the 12 we add 12 but whatever we do to one side we do to the other
so we add 12 to each side
-12+12 cancels our
1+12=13
we're left with
q=13
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answers
Explanation: the radius is half of the circumference therefore the answer is 40 inches considering the radius is 20 inches.
solve this for me please
Answers
Explanation:
Scale defines 1 inch as 3.5 feet....
2 inches = 7 feet
0.8 inches= 2.8 feet
7+2.8= 9.8 feet
A study of U.S. births published on the website Medscape from WebMD reported that the average birth weight of babies was 7.5 pounds and the standard deviation was about 1.2 pounds. Assume the distribution is approximately normal. Find the proportion of babies with birth weights of 6 pounds or less. Round your answer to 2 decimal places.
Answers
Answer:
The proportion of babies with birth weights of 6 pounds or less is 0.1056 = 10.56%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average birth weight of babies was 7.5 pounds and the standard deviation was about 1.2 pounds.
This means that [tex]\mu = 7.5, \sigma = 1.2[/tex]
Find the proportion of babies with birth weights of 6 pounds or less.
This is the pvalue of Z when X = 6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{6 - 7.5}{1.2}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
The proportion of babies with birth weights of 6 pounds or less is 0.1056 = 10.56%.
2:14 = 1:
What is the equivalent ratio?
Answers
Hope it helped:)
give to reasons why do you think Sin/excise tax is so high
Answers
A rectangle with an area of 61 units” is dilated by a scale factor of ;. Find the area of
the rectangle after dilation. Round your answer to the nearest lenth, if necessary.
Answers
Answer:
34 units
Step-by-step explanation:
I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.
Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.
Finally, I solve for the area of the rectangle:
45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)
The lines graphed below are parallel.The slope of the red line is-4/3. What is the slope of the green line?
Answers
Answer:
-4/3
Step-by-step explanation:
You know that parallel lines have the same slope. So, if both lines are parallel, then they must have the same slope.
Answer:
-4/3
Step-by-step explanation:
A line thats parallel with a line with a slope -4/3 will have the same slope because it is parallel so it has the same the degree of tilt/slope
The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales.
7 x + 12 y = 54. 5 x + 10 y = 60.
Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.
The first equation can be multiplied by 5 and the second equation by –6 to eliminate the y.
The first equation can be multiplied by –5 and the second equation by 6 to eliminate the y.
The first equation can be multiplied by –5 and the second equation by 7 to eliminate the x.
The first equation can be multiplied by 5 and the second equation by –7 to eliminate the x.
The first equation can be multiplied by –5 and the second equation by 10 to eliminate the x.
Answers
Answer:
1,3,4
Step-by-step explanation:
:)
Answer:
1,2,3,4
Step-by-step explanation:
i am just smart and dont cheat ;)