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geniusboy [140]
2 years ago
6

A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway

Mathematics
1 answer:
natali 33 [55]2 years ago
7 0

Answer:

10.6 ft

Step-by-step explanation:

to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2

6'4" is also 6 1/3' or 19/3'

8'6" is also 8 1/2' or 17/2'

now square them both

361/9 + 289/4

make them have the same denominator

1444/36 + 2601/36

add them

4045/36

take the square root

10.6000524 is your answer

10.6 ft

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% of 6,000 = 4,500<br> Please help
babymother [125]

Answer:

450

Step-by-step explanation:

Solution for What is 75 percent of 600:

75 percent * 600 =

(75:100)* 600 =

(75* 600):100 =

45000:100 = 450

Now we have: 75 percent of 600 = 450

Question: What is 75 percent of 600?

Percentage solution with steps:

Step 1: Our output value is 600.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$600=100\%$600=100%​.

Step 4: Similarly, $x=75\%$x=75%​.

Step 5: This results in a pair of simple equations:

$600=100\%(1)$600=100%(1)​.

$x=75\%(2)$x=75%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

600

x​=

100%

75%​​

Step 7: Again, the reciprocal of both sides gives

x

600​=

75

100​

Therefore, $75\%$75%​ of $600$600​ is $450$

7 0
3 years ago
A radio telescope has a parabolic surface, as shown below.
krek1111 [17]
OK, so the graph is a parabola, with points x=0,y=0; x=6,y=-9; and x=12,y=0

Because the roots of the equation are 0 and 12, we know the formula is therefore of the form

y = ax(x - 12), for some a

So put in x = 6

-9 = 6a(-6)

9 = 36a

a = 1/4

So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x

The gradient of this is dy/dx = 0.5x - 3

The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8

Gradient of the parabolic mirror at x = 4 is -1

So the gradient of the normal to the mirror at x = 4 is therefore 1.

Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.

So the focal point is at y = -8, i.e. 1 metre above the back of the dish.
5 0
3 years ago
There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first
Luba_88 [7]

Answer:

Step-by-step explanation:

3 0
2 years ago
monica and three friends went out to dinner. the bill came down to $60. they had excellent service so they wanted to leave a 20%
netineya [11]

Answer:

$72

Step-by-step explanation:

60 * 20% = $12


Hope this helps. Have a great day. :)

-wfz

5 0
4 years ago
Jake buys a drink and sandwich for $7.95. The drink costs $2.25. Write an equation to find the cost of the sandwich x
Nesterboy [21]

Answer:

$7.95-$2.25=x

Step-by-step explanation:

pls brainliest

8 0
3 years ago
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