A 30 -foot ladder is leaning against a building. The base of the ladder is 18 feet from the side of the building. How high does the ladder reach along the side of the building?
Answers
========================================================
Explanation:
Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.
Let a = x, b = 18, c = 30.
Apply the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
x^2 + 18^2 = 30^2
x^2 + 324 = 900
x^2 = 900-324
x^2 = 576
x = sqrt(576)
x = 24
The top of the ladder reaches 24 feet high.
Related Questions
1 Which fraction is equivalent to 1/6?
3/8
2/8
3/24
4/24
Answers
Answer:
4/24
Step-by-step explanation:
24 divided by 6 equals 4
Answer:
4/24
Step-by-step explanation:
1/6
=1 × 4 = 4
=6 × 4 = 24
=1/6 = 4/24
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
Scale factor = 1.5
Step-by-step explanation:
Formula for the scale factor,
Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]
In this question, image is triangle Y and preimage is triangle X.
Scale factor of X to Y = [tex]\frac{15}{10}[/tex]
= 1.5
Therefore, scale factor = 1.5 is the answer.
-8/5x -6 equals -54. what is x
Answers
Answer:
30
Step-by-step explanation:
......................
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
304
Step-by-step explanation:
The area of the square is 12 x 8 = 96.
There are two triangles with area (11x8)/2=44. 44x2=88.
There are two triangles with area (10x12)/2=60. 60x2=120.
96+88+120=304
Hope I helped!
Find a number, twice of which decreased by 7 gives 65.
Answers
Answer:
Number = 36
Step-by-step explanation:
Given that,
A number twice of which decreased by 7 gives 65.
Let the number be x.
Twice of the number is 2x.
ATQ,
2x - 7 = 65
We can solve the above equation.
Adding 7 both sides.
2x-7+7 = 65 +7
2x = 72
x = 36
So, the required number is 36.
Help me with question. Please!
Answers
Answer: The answer is c
Step-by-step explanation: mark me as brainlisti plsssssssssss
Answer:
The answer I believe is B
Step-by-step explanation:
I made a mistake with me math so i went over and found the the statement is still invalid so the answer is b, sorry again.
Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?
Answers
Answer:
48 years old
Step-by-step explanation:
Let x = Mikhail's age
then x-15 = Gabrielle's age
x + x-15 = 81
2x-15 = 81
2x = 96
x = 48 years old
Answer:
44
Step-by-step explanation:
x+(x-12)=76
2x-12=76
2x=76+12
2x=88
x=88/2
x=44
Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.55 and each cup of hot chocolate costs $1.05. If he pays a total of $9.35 for 7 cups, how many of each does he buy?
Answers
Answer:
he buys 6.78
Step-by-step explanation:
In our amusement park that we built this week, the ride Diablo’s Domain had revenue of $250,000,000 in its first year as expected. The company paid $750,000 for insurance or $3 for every $1,000 in revenue. If the park is wildly successful and revenue increases by 25% in the second year and the rate of $3 for every $1,000 holds true, how much would it pay for insurance? Do you think it’s reasonable for insurance costs to increase proportionally? Why or why not?
Answers
Answer:
The amount to be paid for insurance will be $ 937,500. In this context, it is reasonable that insurance costs increase proportionally, as the ride will have a greater use and, therefore, a greater exposure to risk.
Step-by-step explanation:
Given that the amusement park Diablo's Domain ride generated $ 250,000,000 in revenue, and the company paid $ 750,000 in insurance for that game ($ 3 for every $ 1,000 in profit), to determine the amount of insurance that should be paid if the winnings increase by 25% and the same proportion of 3/1000 to be paid is maintained, the following calculation must be made:
(250,000,000 x 1.25) x (3/1000) = X
312,500,000 x 0.003 = X
937,500 = X
Therefore, the amount to be paid for insurance will be $ 937,500.
If Maggie rides for 2 hours on a bicycle, what is her rate if she rides for 8 miles?
__________________ mph
Answers
Answer:
4 mph
Explanation:
8 miles / 2 hours = 4 miles each hour
write the expression as a product of the to factors: 6m+ 8n+ 4
Answers
Answer:
No answer do u today
Step-by-step explanation:
Lol
H hi ha job un hi is ihnihniuniunihn como te quiero
Find the absolute value. |-45 |
Answers
Answer:
45
Step-by-step explanation:
Absolute value is the distance that number is ways from zero
Answer:
45
Step-by-step explanation:
The absolute value of any number is the positive of that number.
Ex:
a) absolute value of |- 23 | is 23.
b) absolute value of 13 is 13 itself.
-Therefore absolute value is always positive.
A square gate has a brace 3.5 feet long.
Approximately how wide is the gate?
F. 2.0 feet
3.5 ft
G. 2.5 feet
H. 4.9 feet
J. 6.1 feet
Answer
Answers
Answer:
h
Step-by-step explanation:
The line at the bullet roller coaster is moving about 4 feet for every 15 minutes. At this rate, how many hours would it take for a person to travel 24 feet? Set up a proportion and solve.
Answers
Answer:
90
Step-by-step explanation:
4/15 which is our fraction distance/time
our other fraction is 24/x (x is our variable to find our time)
Now we are doing the buultterfly method
set it up
now multiply 4*x= 4x
15*24=360
now divide 4x ÷ 4 to get our variable alone
do the same to the other side
4 ÷ 360= 90
so x= 90 which is our missing number
(4y' - 49 +8) - 092-y+3)
Answers
Answer:
3y-130
Step-by-step explanation:
hope this was helpful! c:
Answer:
3y-130 hope this helps
Step-by-step explanation:
In the diagram, ABC ~ DEF. The area of ABC is 72 square cm. Find the area of DEF.
А
6 cm
B
20 cm
m
Area of DEF
cm
Answers
Answer:
120
Step-by-step explanation:
just do 20x 6 and you get 120
Similar triangles may or may not be congruent
The area of triangle DEF is 800 square cm
The given parameters is
[tex]\triangle ABC \sim \triangle D EF[/tex]
This means that the triangles are similar.
The corresponding sides of the triangles are:
[tex]AC = 6[/tex]
[tex]DF = 20[/tex]
So, the scale factor (k) from ABC to DEF is:
[tex]k = \frac{D EF}{ABC}[/tex]
[tex]k = \frac{20}{6}[/tex]
Simplify
[tex]k = \frac{10}{3}[/tex]
The area of triangle DEF is then calculated as follows:
Area = Area of triangle ABC * k^2
So, we have:
[tex]A =72 \times \frac{10}{3} \times \frac{10}{3}[/tex]
[tex]A = 800[/tex]
Hence, the area of triangle DEF is 800 square cm
Read more about similar triangles at:
https://brainly.com/question/14285697
prove that (n+5)^2-(n+3)^2 is a multiple of 4 for all positive integer values of n
Answers
Answer:
Proved
Step-by-step explanation:
Given
[tex](n+5)^2-(n+3)^2[/tex]
Required
Show that [tex](n+5)^2-(n+3)^2[/tex] is a multiple of 4
Expand each bracket
[tex](n+5)(n+5)-(n+3)(n+3)[/tex]
Open brackets
[tex]n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)[/tex]
[tex]n^2 + 10x + 25 - (n^2 + 6x + 9)[/tex]
Open bracket
[tex]n^2 + 10x + 25 - n^2 - 6x - 9[/tex]
Collect Like Terms
[tex]- n^2 + n^2 - 6n + 10n + 25 - 9[/tex]
[tex]- 6n + 10n + 25 - 9[/tex]
[tex]4n + 25 - 9[/tex]
[tex]4n + 16[/tex]
Factorize
[tex]4(n + 4)[/tex]
Hence, the multiples of [tex](n+5)^2-(n+3)^2[/tex] are [tex]4[/tex] and [tex](n + 4)[/tex]
ima cry brainliest giving it out
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answers
Answer:
23.1%
Step-by-step explanation:
11/48=0.23125
Round up for percent.
0.231x100=23.1
23.1%
Using a computer or calculator that provides proportions falling below a specified z-score, determine the approximate proportion for each of the following situations. In each case, assume the values are approximately bell-shaped. (Round your proportions to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) The proportion of SAT scores falling below 420 for a group with a mean of 500 and a standard deviation of 100. -0.8 Correct: Your answer is correct. (z-score) (approximate proportion)
Answers
Answer: uhhhh what
Step-by-step explanation:
-3g = 9 what does g =
Answers
Answer:
g=-3
Step-by-step explanation:
-3g=9
divide through by-3
g=9/-3
g=-3
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3g=9 Equation/Question
Step 2
-3g=9 Simplify
-3g=9
Step 3
-3g =9 Divide by 3
answer
-3
Hope this helps
A dig-your-own potato farm charges $1.27 per pound of potatoes plus $0.20 per pound to clean the potatoes. Kevin digs 30 pounds of potatoes. The farm cleans 8 pounds for him. How much does Kevin pay in all?
Answers
Explanation:
1.27 x 30 = 38.1
0.20 x 8 = 1.6
38.1 + 1.6 = 39.7
Use the following sets to answer the following:
Y: The set of yellow attribute pieces
H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
SB: The set of small blue attribute pieces
L: The set of large attribute pieces
1. Which pairs of sets, if any, can be put into one-to-one correspondence?
2. Which pairs of sets, if any, are equal?
3. Which pairs of sets, if any, are disjoint?
4. Which set is a proper subset of another?
5. Which attribute pieces are in Y ∩ L?
6. Which attribute pieces are in Y UL?
Answers
Answer:
i have no clue
Step-by-step explanation:
tbh
Help.
Determine the unknown values, R and W, in the figure below.
Answers
Answer:
W = 28.63
R = 15.59
Step-by-step explanation:
From the right triangle given in the picture,
By applying sine rule in the triangle,
sin(57°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{24}{W}[/tex]
W = [tex]\frac{24}{\text{sin}(57)}[/tex]
W = 28.63
Similarly, by tangent rule,
tan(57)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
1.54 = [tex]\frac{24}{R}[/tex]
R = [tex]\frac{24}{1.54}[/tex]
R = 15.59
PLEASE HELP I WILL GIVE BRAINLIST! <3
On a certain hot summer's day, 606 people used the public swimming pool. The daily prices are 1.25 for children and 2.50 for adults. The receipts for admission totaled $1098.75. How many children and how many adults swam at the public pool that day?
Answers
Move numbers to the blanks to solve the problem.
6 divided by 1/3
Answers
Answer:
its 2
Step-by-step explanation:
Estimate the product
A)Close to 40
B)Close to 004
C)Close to 0.4
D)Close to 4
Answers
Answer:
D) Close to 4
Step-by-step explanation:
Round both numbers and multiply them.
2/3 of a yard = ______ inches
Answers
Answer:
24 inches
Step-by-step explanation:
you're welcome
Solve for p. U=1/7pd
Answers
Answer:
U =1/7pd
Multiplying through by 7pd, we have U7pd=1
Dividing through by U7d , we have p=U7d*1
Therefore p= U7d
six less than six times a number is 12
Answers
Answer:
x = 3
equation: 6x - 6 = 12
Step-by-step explanation:
6x - 6 = 12
aka:
6x + -6 = 12
+6. +6
6x = 18
/6. /6
x = 3
check: 6(3) - 6 = 12
18 - 6 = 12
12 = 12
6(3)-6= 12
18-6=12
12=12
The number is 3
Helppppppppppppppppppppppp please
Answers
Answer:
A
Step-by-step explanation:
Two Squares
There are 2 squares at the top and bottom. All sides = 3
2* s^2
2 * 3^2
2 * 9
18
Middle Figure.
Triangles
There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.
Base of both triangles = 5 + 5 = 10
The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.
Area = 1/2 * 2 * 10 = 10
But there are 2 of them so the total area is 20
Rectangle
The length of the rectangle = 5 + 5 = 10
The width = 3
Area = 30
Total
Total Area = 2 squares + 2 triangles + 1 rectangle
Total Area = 18 + 20 + 30 = 68