Terry needs to carry a pole that
is 10 feet tall through a
rectangular doorway that
measures 6 feet by q feet. Will
the pole fit diagonally through the
doorway? Explain.
6 ft
9 ft
Answers
Answer:
Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.
Step-by-step explanation:
Using the Pythagorean Theorem, ([tex]a^2+b^2=c^2[/tex] ) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.
Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:
[tex]6^2+9^2=c^2[/tex]
[tex]36+81=c^2[/tex]
[tex]117=c^2[/tex]
Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.
[tex]\sqrt{117} =10.8[/tex]
[tex]10.8=c[/tex]
Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.
Related Questions
I need help with all odd numbers please
Answers
Answer:
5. a = 4
7. x = -8
9. x = -1
11. p = 1.1
13. x = -1
15. x = -4
Step-by-step explanation:
2.9a = 11.6
2.9a/2.9 = 11.6/2.9
a = 4
-3.7x = 29.6
-3.7x/-3.7 = 29.6/-3.7
x = -8
(x-5)(-3) = 18
(x-5)(-3)/-3 = 18/-3
x-5 = -6
x-5+5 = -6+5
x = -1
3.6 = -2p+5.8
3.6-5.8 = -2p+5.8-5.8
-2.2 = -2p
-2.2/-2 = -2p/-2
1.1 = p
2x+6 = -4x
2x+6-6 = -4x-6
2x = -4x-6
2x+4x = -4x-6+4x
6x = -6
6x/6 = -6/6
x = -1
21-6x = -11-14x
21-6x-21 = -11-14x-21
-6x = -14x-32
-6x+14x = -14x-32+14x
8x = -32
8x/8 = -32/8
x = -4
Answer:
5.) a= 4
7.) x= -8
9.)x= -1
11.) p= 1.1
13.) x= -1
15.) x= -4
Step-by-step explanation:
5.) divide 11.6 by 2.9a
7.)divide 29.6 by -3.7u
9.) Divide by sides by -3. simplify. Add 5 to both sides. then simplify again x= -1
11.) subtract 5.8 from 3.6 . you're left with -2p=-2.2 divide both sides by -2. you get p=1.1
13.)Subtract 6 from both sides. You get 2x= -4x-6. Add 4x to both sides. then divide -6 by 6 you get x=-1
15.) Simplify both sides of the equation, so add 14x to -6x +21 side, you get 8x= -32 then divide -32 by 8x you get -4
In Earth’s atmosphere, the speed of sound can be approximated using partial variation. The speed of sound is approximately 331 m/s at 0°C and approximately 343 m/s at 20°C.
Jenny yells out “Hello” in a canyon when the air
temperature is 10°C. It takes 1.4 s to hear her
echo. How far away is the wall of the canyon?
Answers
A spinner has 8-equal sections. Six of the sections are green. What is the probability that the spinner will land on green?
Answers
Answer:
3/4
Step-by-step explanation:
To find the probability of landing on green, we have to divide the number of sections that are green by the total number of sections
we have this as:
6/8 = 3/4
You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is
Answers
Explanation:
This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries. The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.
Notes:
11/50 = 0.22 = 22%The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.divide 6x3 ÷3x how to do please tell me
Answers
Answer:
hey your answer would be 3x • (2x2 - 1)
please tell me if im wrong
Step-by-step explanation:
5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).
Answers
Answer:
P(B,R) = 24.490%
Step-by-step explanation:
P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%
State the x- and y-intercepts of each equation
y= -2x + 7
Answers
Answer:
x-intercept(s): ( 7/ 2 , 0 )
y-intercept(s): ( 0 , 7 )
Step-by-step explanation:
Answer:
y = 7, x = 7/2
Step-by-step explanation:
y - intercept = 7
x - intercept = 7/2
What is the value of x in the triangle?
Answers
Answer:
a. 10√2
Step-by-step explanation:
hey, just use Pythagoras theorem
h²=p²+b²=10²+10²=100+100=200
h²=200, h= √200 =√(100×2)=√100×√2=10√2
A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?
Answers
Explanation: 10% of $160 is $16
Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?
Answers
Answer:
It should be the first one
Step-by-step explanation:
since positive ten would represent going further up and negative ten going further down, the diver would be within ten feet of her current position
Answer:
A) -30 - x = 10 and -30 - x = –10
Step-by-step explanation:
Part 1:
1) Isolate the variable x
-30 - x = 10
-x = 40
2) Multiply both sides by -1
x = -40
Therefore -30 - x = 10 is correct
Part 2:
1) Isolate the variable x
-30 - x = –10
-x = 20
2) Multiply both sides by -1
x = -20
Therefore -30 - x = –10 is also correct
Final Answer: -30 - x = 10 and -30 - x = –10
Please help ASAP !!
Answers
Answer:
3rd one or infinite
Step-by-step explanation:
1 4/7 as an improper fraction.
Answers
11/7
The mix fraction as an improper fraction is 11/7.
We have,
Mix fraction:
1(4/7)
This can be simplified as an improper fraction:
= {(7 x 1) + 4} / 7
= (7+ 4) / 7
= 11/7
Thus,
The mix fraction as an improper fraction is 11/7.
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She drinks 70 ounces of water each day. Before her ride she drinks 14 ounces. What percent of water does she drink. Find an equivalent amount of water to 100 ounces.
Answers
Answer:
Percentage of water consumed = 20 %
Equivalent amount of water to 100 ounces = 20 ounces
Step-by-step explanation:
The total amount of water consumed by her daily = 70 ounces
The total amount of water consumed by her before ride = 14 ounces
Percentage of water consumed = total amount of water consumed by her before ride /total amount of water consumed by her daily * 100
Substituting the given values we get
[tex]\frac{14}{70} * 100\\\frac{100}{5} \\20[/tex]%
Equivalent amount of water to 100 ounces = 20 ounces
Pls help will mark brainliest
Answers
A company analyzed how inventory was affected during the first five hours after a commercial aired for its product. The relationship is shown on the graph below.
What happens to inventory as each hour passes?
A.
The inventory decreases by 20 units.
B.
The inventory decreases by 10 units.
C.
The inventory decreases by 5 units.
D.
The inventory decreases by 1 unit.
Answers
Miguel volunteers at his local food pantry and takes note of how much money is donated each day during a 10-day
fundraising phone-a-thon. Below is the graph that represents the data that he collected.
Ty Food Pantry Donations
300
250
200
Dollars Donated
150
100
50
1
2 3 4 5 6 7 8 9 10 X
Number of Days
The slope of the line that represents the data that Miguel collected is 25, and the y-intercept is 50. What do the slope and
y-intercept represent in Miguel's situation?
Answers
Answer:
Step-by-step explanation:
The answer is c
Answer:
C
Step-by-step explanation:
Given the point (x, y) = (3, 8), find x' of the image point with respect to an axis rotated 60.
3/2 + 4√3
(3√3)/2 - 4
(3√3)/2 + 4
Answers
The value of x', the image point with respect to an axis rotated 60 is 3/2 + 4√3
How to determine the x' coordinate?The point is given as:
(x, y) = (3, 8)
The angle of rotation is given as:
θ = 60
The image of rotation is calculated using:
x = x'cosθ - y'sinθ
y = x'sinθ + y'cosθ
So, we have:
3 = x'cos(60) - y'sin(60)
8 = x'sin(60) + y'cos(60)
Evaluate cos(60) and sin(60)
3 = 1/2x' - y'√3/2
8 = x'√3/2 + 1/2y'
Multiply the second equation by √3
8√3 = 3/2x' + √3/2y'
Add this equation and the first equation to eliminate y'
3 + 8√3 = 1/2x' + 3/2x'
Evaluate the sum
3 + 8√3 = 2x'
Divide through by 2
x' = 3/2 + 4√3
Hence, the value of x' is 3/2 + 4√3
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Please help will mark brainliest
Answers
Answer:
The answer is 36.9
Step-by-step explanation:
The grid shown below is in the shape of a rectangle. What is the area, in square units, of the shaded part of the rectangle? *
Answers
B) 24
step-by-step explanation:
there are 48 squares in total
half of the squares are shaded
48/2
24
Answer:
I'm going to say 24. I'm 97% sure I'm correct
Could u help me with these 3 questions? Ill mark brainly if its correct. :)
Answers
2. 15
3.- 18
4. 92
the population of a town is 9,000, and it grows at a rate of 7% per year. what will the population be in 6 years?
Answers
Answer:
w
Step-by-step explanation:
m
Answer:
population=12780
Step-by-step explanation:
7% of 9000 is 630
630 times 6 is 3780
9000 plus 3780 is 12780
square & cube numbers puzzle
| Using only square and cube numbers less than or equal to 100, can you fill in the circles to make these
| sums true? You can only use each number once and you must use all the numbers.
36) + (64
Square and cube numbers
Answers
Answer:
who friendhjcicivigigivigigogogig'g
△WXY is a right triangle, and △WZY is an isosceles triangle where WY¯¯¯¯¯¯≅ZY¯¯¯¯¯. Which is the measure of ∠XYZ?
Answers
Answer:
61 degrees
Step-by-step explanation:
TRUST ME I JUST DID THE IMAGINE MATH LESSON. !!!!
The measure of ∠XYZ in right triangle is 90 degrees.
What is an isosceles right angled triangle?It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. An isosceles triangle has two of its side length of same measure.
Let the considered isosceles triangle has two same lengthed sides of 'a' units.
Let its third side be of 'b' units.
Then, if we drop a perpendicular from the vertex joining similar sides to the opposite side, the opposite side is cut in half, each of length b/2 units.
We are given that;
A right triangle △WXY and △WZY
Now,
Let's label ∠WZY as α, so we have:
∠WZY = α
∠WYZ = α
Since the sum of the angles in a triangle is 180 degrees, we can find ∠WYX of △WXY:
∠WYX = 90 - ∠WXY
Now, we can use the fact that ∠WXY and ∠XYZ are complementary angles of a right triangle, so:
∠WXY + ∠XYZ = 90
Substituting ∠WYX for ∠WXY, we get:
∠WYX + ∠XYZ = 90
90 - ∠WXY + ∠XYZ = 90
∠XYZ = ∠WXY
Therefore, we can conclude that ∠XYZ is equal to ∠WYX, which is the angle opposite to the hypotenuse in a right triangle. So, we have:
∠XYZ = 90 degrees
Hence, in the given right triangle answer will be 90 degrees.
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Solve for x.
can someone answer this please
Answers
1a.) Brian borrowed 4 non-fiction books from the library. This was 25% of the
books he checked out. How many books did Brian check out? *
Answers
Answer:
Step-by-step explanation:
Answer:
16 books
Step-by-step explanation:
100÷25=4
4×4=16
What is the distance between the following points?
Answers
Answer:
[tex]\sqrt{85}[/tex] or 9.21954
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)
Answers
Answer: 12
Step-by-step explanation:
There are 12 different combinations
If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once
In the parallelogram RSTU, the diagonals RT and SU intersect at point W.
A. 4
B. 8
C. 10
D. 20
If RW = 2x + 2 and RT = 3x +8, what is the length of WT?
Answers
Answer:
4
Step-by-step explanation:
i did the math but i did the math but i dont wanna type it all out
Help me with this please!!!!!
Answers
Answer:
d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2
P1(0, 0, 0) P2(-9, 6, -4)
Substitute the values in the above equation and you will get
d = √(-9)^2 + (6)^2 + (-4)^2
= √(81 + 36 + 16)
= √133
= 11.53
Answer:
The answer is 11.53
9. please please help me out ill mark you brainlist
Answers
Answer:
C. The scale factor is less than one.
Step-by-step explanation:
By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)