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

Terry Needs To Carry A Pole Thatis 10 Feet Tall Through Arectangular Doorway Thatmeasures 6 Feet By Q

Answers

Answer 1

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

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

Given the info, we can do 343-331=12 and 20-0=20. Then divide both by 2 to get a ratio of 6:10. This indicates that if temperature is 10, speed will be 6 m/s. I order to get the distance, multiply 6 m/s by 1.4 s, the unit s (second) cancels out and the answer is 8.4 m.

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

Could u help me with these 3 questions? Ill mark brainly if its correct. :)

Answers

Answer is

2. 15
3.- 18
4. 92

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

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

Answer: $16

Explanation: 10% of $160 is $16

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

I think the answer is B

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

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

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

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

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:

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

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:

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

1 4/7 as an improper fraction.

Answers

your answer would be

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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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

Please help ASAP !!

Answers

Answer:

3rd one or infinite

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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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

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)

△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

I think it has to be 76
I think the answer would be c or B

Please help will mark brainliest

Answers

Answer:

The answer is 36.9

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%

Pls help will mark brainliest

Answers

So the one on the bottom is the answer plz mark on us as brainliest

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

Answer:  11/50

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.

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

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

answer:
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

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