A 32-foot ladder leans against a building. The distance between the bottom of the ladder and the base of the building is
8.5 feet. What is the height, in feet, from the ground to the place on the building that the ladder touches? Round your
answer to the nearest tenth.
Answers
Answer:14
Step-by-step explanation:
happy 5685757
The height at which the ladder touches the building is required.
The height of building where the ladder touches the building is 30.9 feet.
Pythagoras theorema = Required height
b = Distance between the bottom of the ladder and the base of the building = 8.5 feet
c = Length of ladder = 32 feet
From the Pythagoras theorem we have
[tex]a^2+b^2=c^2\\\Rightarrow a=\sqrt{c^2-b^2}\\\Rightarrow a=\sqrt{32^2-8.5^2}\\\Rightarrow a=30.9\ \text{feet}[/tex]
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Related Questions
Please help it emergency I will mark you as brainlist please help
Answers
Answer:
I cant tell if you need help with the problem, or if this is a life or death emergency.
Answer:
The area of the polynomial is 35 square unit.
Step-by-step explanation:
It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2)
From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7
The distance formula
Using the above formula we get,
The length of opposing sides are equal
Using the Pythagoras theorem, the length of diagonal WY and XZ are
Since the length of the diagonal are same, therefore the given polygon is a rectangle.
The area of a rectangle is
Where l is length and w is width.
The area of given polynomial is
Therefore the area of the polynomial is 35 square unit.
I need to evaluate h(3)
Answers
Answer:
h(3) = - 1
Step-by-step explanation:
To evaluate h(3), that is x = 3 in the interval x ≥ 1 , then
h(x) = - x + 2 , thus
h(3) = - 3 + 2 = - 1
Then h(3) = - 1
Which operation should go in the blue spot to make this equation true?
-18
-3/4 = 24
оа
Ob
Ос
Muliplication
Division
Addition
Answers
Answer:
Multiplication (Option A)
Step-by-step explanation: Please brainliest if correct!
Step-by-step explanation:
Find the perimeter of AABC with vertices A(1.-6).B(1.-3), and c(-4,-6).
Answers
Answer:
B
Step-by-step explanation:
Need help ASAP please and thanks
Answers
Answer:
4,3
Step-by-step explanation:
i think im sure
What is 1,000=850+0.2p
Answers
Hope this helps!!
PLEASE HELP! WILL MARK BRANLIEST
A university has 34,590 students. In a random sample of 165 students, 11 speak three or more languages. Predict the number of students at the university who speak three or more languages.
The expected number of students at the university who speak three or more languages is____
Answers
165x = 380490
x=2306
The expected number of students at the university who speak three or more languages is 2,306.
Given ---AB || ---RS Prove: QA/QR = QB/QS
Answers
3. Corresponding angles are congruent
4. Angle side angle ?
5. ?
The prove for QA/QR = QB/QS is shown below.
What is Similarity of Triangles?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
1) Given
2) <Q is congruent to <Q
by reflexive property of congruence
3) <QBA is congruent to <QSR
by alternate interior angles theorem
4) Triangle QBA is similar to triangle QSR
by AA theorem
5) QA/QR=QB/QS
by CPSP (corresponding parts of similar polygons are proportional)
Learn more about Similarity here:
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What is the first step in evaluating the expression (5 + 8 ÷ 4 × 3)^2 − 7?
Answers
E
M
D
A
S Use this hopes this helps you
what is the length of the hypotenuse for a right triangle with legs of length 9 and 40?
Answers
Answer:
[tex]c = 41[/tex]
Step-by-step explanation:
[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {9}^{2} + {40}^{2} } [/tex]
[tex]c = \sqrt{81 + 1600} [/tex]
[tex]c = \sqrt{1681} [/tex]
[tex]c = 41[/tex]
Answer:
probably c=41
Step-by-step explanation:
How many times does 4 go into 7
Answers
Answer:
once
Step-by-step explanation:
Answer:1.75
ep-by-step explanation:7 divided by 4=1.75
Solve the proportional equation below: m+9/4=m+6/5
Answers
Answer:
0=−21/20
0Step-by-step explanation:
Where are the black dots located at ?!!
Answers
Answer:
(1,-2) and (6, 3)
Step-by-step explanation:
Hope this helps ^-^
Answer:
-2/1 3/6 or 6/3
Step-by-step explanation:
syoydsgxhxgztisigxugxyxgisy
F
∝
a
If
F
=
72
when
a
=
9
find,
F
when
a
=
7
Answers
Answer:
56
Step-by-step explanation:
F ∝ a
72 ∝ 9 write this using = :
72 = k9 find k
72/9 = 8
so: if a is 7
7 x 8 = 56
HELP I NEED HELP ASAP
Answers
6 ponds of candy cost $22.44 what is the cost of one pound?
Answers
Please help this is due today
Answers
Answer:
A (13 units)
and E (the one you chose)
Step-by-step explanation:
What does
$8 -$6 +$8 -$3
Equal?
Answers
Answer:
$8-$6+$8-$3=$7
hope this helps have a good day or night:)
10 +(10 + (10 - 5)2)
+ 6
Answers
Answer:
36
Step-by-step explanation:
PEMDAS
Step-by-step explanation:
10+(10+(10-5)2)+6
=10+(10+5)2)+6
=10+(20+10)+6
=10+30+6
=46
I’m super confused on this problem PLEASE HELP!
Answers
Answer:
D
Step-by-step explanation:
D is the only one that makes sense
Expand & simplify 4 ( g + 2 ) − 2 ( g − 6 )
Answers
Answer:
2g+20
Step-by-step explanation:
multiply the 4 by whats in the parenthasis. and multiply the negative 2 by whats in the parenthasis. combine the like terms.
Boris chosen three different numbers. The sum of the numbers is 36. One of the numbers is a cube number the other two numbers are factors of 20. Find the three numbers chosen by Boris. Write the numbers in ascending order
Answers
Answer:
27,4,5
Step-by-step explanation:
27³=3
4×5=20
27+4+5=36
which similarity theorem can be used to prove the two triangles below similar ?
A: sss similarity theorem
B. aa similarity theorem
C. sas similarity theorem
D. not similar
Answers
The similarity theorem that proves the two given triangles are similar is: B. AA similarity theorem.
Recall:
The angle-angle similarity theorem (AA) states that if two angles in one triangle are of the same measure with two corresponding angles in another triangle, both triangles are similar to each other.
In the image given:
[tex]\angle F[/tex] in [tex]\triangle ETF[/tex] is congruent to [tex]\angle U[/tex] in [tex]\triangle VTU[/tex] ([tex]\angle F = \angle U = 78[/tex])
[tex]\angle ETF = \angle VTU[/tex] (vertical angles are equal)
This implies that two angles in [tex]\triangle ETF[/tex] are congruent to two corresponding angles in [tex]\triangle VTU[/tex].
Therefore, both triangles can be proven to be similar by the angle-angle similarity theorem (AA).
Learn more about angle-angle similarity theorem (AA) here:
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what is the point-slope form of the equation of the line ?
slope equals 5 passing through (3,7)
Answers
Answer:
y-7=5(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-7=5(x-3)
what is the solution to the system y= 2x-3 y= -x+3
Answers
CORRECT ONE GETS BRAINLIEST!!!!!!
Answers
Answer:
CD = 11 unitsStep-by-step explanation:
See the drawing attached
GivenC is midpoint of ABB is between A and DAD = 15BD = 7Find CDSolutionCD = CB + BD = 1/2AB + BD = 1/2(AD - BD) + BD =1/2(15 - 7) + 7 =1/2(8) + 7 =4 + 7 =11me need help whit math
Answers
Answer:
0.39%
hope this helps
Please help me outttttttttt
Answers
Answer:
Angle F ~ Angle T. FG ~ ST. FE ~ TR.
Step-by-step explanation:
Answer:
<f=<t FG=TS FE=TR
Step-by-step explanation:
hope this helps
I know it's very trifling of me to ask this but, I do not understand. If can so much as help me with just a few that would save me a lot.
Answers
Answer:
Percent increase
1. [tex]60[/tex] %
2. [tex]50[/tex] %
3. [tex]74.42[/tex] %
4. [tex]11.46[/tex] %
5. [tex]220[/tex] %
Step-by-step explanation:
1. $5 to $8
[tex]\frac{8-5}{5} * 100 = 60[/tex] %
2. From 20 students to 30 students
[tex]\frac{30-20}{20} * 100 = 50[/tex] %
3. From 86 books to 150 books
[tex]\frac{150-86}{86} * 100 = 74.42[/tex] %
4. From $3.49 to $ 3.89
[tex]\frac{3.89-3.49}{3.49} * 100 = 11.46[/tex] %
5. From 5 mile to 16 mile
[tex]\frac{16-5}{5} * 100 = 220[/tex] %
George recorded the temperature of a liquid during science class.
Recorded temperatures (°C):37, 37, 42, 42, 42
Which measure of center best summarizes the temperatures and what is the value of this chosen measure?
Move a word and a value to complete the sentences.
The best measure of center for this data is the
The value of this measure of center is
mean
median
37
39.5
40
Answers
Answer: median and 42!
Step-by-step explanation:
