Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?
Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)
Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some information? DC∥AB
Step 1: Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2: Side DB is congruent to side BD because they're the same segment.
Step 3: Angle A is congruent to angle C because they're both right angles.
Step 4: By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
and WHY?
Answer:
The answer is below
Step-by-step explanation:
From the image, we can see that DC is parallel to AB.
Step 1:
Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.
Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2:
DB ≅ BD (reflexive property of congruence)
Step 3:
∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:
Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.
Step 4:
BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.
Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
(b) Write down an equation of a line that is parallel to y =2 – 3x
Answer:
4-6x=y2
Step-by-step explanation:
I’m not sure about this one
Answer:
It is the 3rd option
Step-by-step explanation:
what is the reciprocal of 16/3
I NEEED HELP PLEASE ANYONE!! With step by step answer
Answer:
x = 2
Step-by-step explanation:
Let me know if you have questions
Point R is located at (8, 13). Where is R' after a translation 8 units left and 6 units down?
Answer:
R' = (0,7)
Step-by-step explanation:
what fraction is equal to 3 1/4
Answer:
13/4
Step-by-step explanation:
Mr. Kelly was checking out his items at Dunkin Donuts, he bought three bags of coffee that cost $6.75 each. There is a sales tax of 8.75%, how much will Mr. Kelly pay in total?
Answer:
$22.02
Step-by-step explanation:
3(6.75)(1.0875) = 22.021875 ≈ $22.02 (Assuming the store rounds down.)
Christopher spent a total of 52.50 at a bookstore he purchased a calendar for 9 and three books that cost the same
Answer:
Cost of each book = 14.5
Step-by-step explanation:
Given:
Total amount spend = 52.50
Cost of calendar = 9
Number of books = 3
Assume;
Cost of each book = a
Find:
Cost of each book
Computation:
Total amount spend = Cost of calendar + Number of books(Cost of each book)
52.50 = 9 + 3(a)
Cost of each book = 14.5
(6.253•10^-2)(7.112x10^3) in scientific notation
Answer:
4.4471336 * 10^2.
Step-by-step explanation:
(6.253•10^-2)(7.112x10^3)
= 6.253*7.112 * 10^-2*10^3
= 44.471336 * 10^1
= 4.4471336 * 10^2.
What type of real numbers are these.
jill uses some of her honey to make lotion. if each bottle of lotion requires 1/4 gallon and she uses a total 3 gallons how many bottles of lotion does she make
Answer:
am gonna need more imformation
Step-by-step explanation:
The measure of Angle d is 150°. What is the value of Measure of angle b + measure of angle c + measure of angle e?
Answer:
[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle d = 150[/tex]
See attachment for illustration
Required
Find [tex]\angle b + \angle c + \angle e =[/tex]
The sum [tex]of\ angles\ at[/tex] a point is [tex]360^\circ[/tex]
So:
[tex]\angle a + \angle b + \angle c + \angle d + \angle e = 360^\circ[/tex]
Angle a is at right angled.
So:
[tex]90 + \angle b + \angle c + 150 + \angle e = 360^\circ[/tex]
Collect like terms
[tex]\angle b + \angle c + \angle e = 360^\circ -150^\circ - 90^\circ[/tex]
[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]
I need help quick!
Q: The measure of
Answer:
x=34
Step-by-step explanation:
132-64=
68/2=
34
PLEASE MAKE ME BRAINLIEST
Determine the y intercept
Answer:
y intercept is 4
Step-by-step explanation:
what are the x intercepts of the graph of the function (x-2) (x+1)
Answer:
The X intercepts would be -1 and 2
Answer:
There are two x-intercepts.
Step-by-step explanation:
They are in the picture attached below.
which one is correct?
Answer:
SSS or SAS
Step-by-step explanation:
Remark
Since the two diagonals bisect each other, you have created two sets of equal lines. If that is the case, then you could prove the equality of the triangles 2 different ways.
1) The angles at the center are vertically angles which makes them equal. Since they are equal, the triangles are congruent by SAS. Notice that the angle is between the 2 equal sides.
2) Since CD and AB are marked as being equal, the triangles are congurent by SSS.
Which of the following is the best approximation of the volume of the cylinder below?
A.22,507.5 m^3
B.5626.9 m^3
C.1406.7 m^3
Answer:
B.
Step-by-step explanation:
V = (pi)r^2h
V = 3.14 * (8 m)^2 * 28 m
V = 5626.9 m^3
Answer: B.
-4r>16 I have to solve this for my math hw
Answer:
r<-4
Step-by-step explanation:
when inequality is divided by a negative number the sign changes to next direction.
Given f(x) =1 - 3/4x find the following.
a. f(-12) b. f(0) c. f(4)
Answer:
a. f(-12) = 10
b. f(0) = 1
c. f(4) = -2
Step-by-step explanation:
In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:
a. f(-12) = 1 - 3/4(-12)
- f(-12) = 1 - (-36/4)
- f(-12) = 1 + 9
- f(-12) = 10
b. f(0) = 1 - 3/4(0)
- f(0) = 1 - 0
- f(0) = 1
c. f(4) = 1 - 3/4(4)
- f(4) = 1 - 12/4
- f(4) = 1 - 3
- f4) = -2
my brother needs help with this !
Answer:
1. 20
2. 35
3. 20
4. 20
Step-by-step explanation:
Are u serious..... ඩඩඩඩඩඩඩ
Salma paid a total of $42 for 7 frozen meals. She had a coupon for $6 off the regular price of each meal. Each meal had the same regular price. What was the regular price of each meal
Answer:
$12
Step-by-step explanation:
42 divided by 7 is 6 so you just add the 6 that was originally subtracted die to the discount and you get 12.
A square pyramid how many number of faces?
A. 5
B. 6
C. 7
D. 8
Answer:
I believe a pyramid has A. 5 faces
Answer:
A. 5
Step-by-step explanation:
A. 5 faces
can 4x+35 be factored? yes or no
Answer:
no it is not able to be factored
5/8 divided by 2
I need this fast!
Answer:
1 1/4
Step-by-step explanation:
5/8 ÷ 2
Copy dot flip
5/8 * 2/1
Rewriting
5/1 * 2/8
5 * 1/4
5/4
1 1/4
[tex] \large \color{lime}Answer:[/tex]
[tex] \frac{5}{8} \div 2 = \frac{5}{8} \times \frac{1}{2} = \frac{5}{16} [/tex]
[tex] \large \color{gold}Explaination:[/tex]
Change divide into multiplication then find the reciprocal of 2 then change the places of it then multiply to 5/8 and you will get the product.
There are 5 inches of water in a bucket after 212 hours of a rainstorm. How much water will there be in the bucket after 8 hours if the rain continues at the same rate?
Answer:
0.188 inches
Step-by-step explanation:
Given that,
There are 5 inches of water in a bucket after 212 hours of a rainstorm
We need to find how much water will there be in the bucket after 8 hours if the rain continues at the same rate.
5 inches = 212 hours
1 hour = (5/212) inches
For 8 hours,
[tex](\dfrac{5}{212})\times 8\\\\=0.188\ \text{inhces}[/tex]
Hence, there will be 0.188 inches of water after 8 hours.
Let's play a game.... Find two numbers that multiply to
10 and add to 7.
Answer:
2 and 5
Step-by-step explanation:
five plus two equals 7
Answer:
5 & 2
Step-by-step explanation:
X + y = 7
X × y = 10
Solve with the help of trial & error method.
Factors of 10 - 1, 5, 2, 10
Let's take 5 as X & 2 as y.
X + y = 7 --- 5 + 2 = 7
X × y = 10 --- 5 × 2 = 10
Hence, the two numbers that multiply to 10 and add to 7 are 5 & 2
22. If 1 student is selected at random from the table below, what is the
probability that the student is from a family that has 3 or 4 children?
A) 2/9
B) 2.27
C) 7/27
D) 1/3
Answer:
c. 7/27
Step-by-step explanation:
add 5 +10 + 7 + 2 + 2 + 1 = 27
3 + 4 = 7
7/27
HURRY!!
The sequences are:
Number of moves: 1, 3, 7, 15, 31, 63, ...
2":2, 4, 8, 16, 32, 64, ...
Compare the two sequences. What is the pattern?
How could you find the minimum number of moves
required for a given number of disks?
The minimum number of moves required for a given number of disks.
We have given that,
The sequences are number of moves 1, 3, 7, 15, 31, 63,
2,2, 4, 8, 16, 32, 64,
Compare the two sequences.
Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
You can find any term in the sequence of moves using the formula
[tex]a_1=2^n-1[/tex]
No one cares about the explanation good luck with your grade Bois.
The minimum number of moves required for a given number of disks.
To learn more about the sequence visit:
https://brainly.com/question/6561461
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Answer:
Each term in the sequence of moves is 1
less than the corresponding term in the
sequence of differences.
You can find any term in the sequence of
moves using the formula
Step-by-step explanation: