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ikadub [295]
2 years ago
12

Right triangle has a shorter leg of 5, a longer leg of 7. What is the length of the hypotenuse? Round to the nearest hundredth.

Mathematics
1 answer:
bagirrra123 [75]2 years ago
5 0
The answer is 8.602
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Theequationforlinegcanbewrittenas y = –9 4 x − 1 . Line h , whichisperpendiculartoline g , includesthepoint (10, 4) . What isthe
KATRIN_1 [288]

Answer:

y-4 = 4/9(x-10)

Step-by-step explanation:

Given the equation of the line g to be y = -9/4 x - 1.

To find the equation of a line h perpendicular to this line, the following steps must be taken;

First find the slope of the known line g

The standard equation of a line is y = mx+c where

m is the slope

c is the intercept

Comparing this equation with the given equation y = -9/4 x -1, it can be seen that the slope of the line g is -9/4

Next is to find the slope of the line h

Since the line g is perpendicular to h, then the product of their slope will be -1 i.e mh*mg = -1

mh = -1.mg

mh = -1/(-9/4)

mh = -1*-4/9

mh = 4/9

Hence the slope of the line h is 4/9

Find the intercept of line h

To get this, you will substitute the slope m and the point into the equation y = mx+c

m = 4/9

(x,y) = (10,4)

4 = 4/9(10) + c

4 = 40/9 + c

c = 4-40/9

c = (36-40)/9

c = -4/9

Hence the intercept of the line h is -4/9

Finally, find the equation of the line h in slope-intercept form

The slope-intercept form of a line is expressed as y = mx+c

y-y0 = m(x-x0)

Given

m = -4/9

x0 = 10

y0 = 4

Substitute:

y-4 = 4/9(x-10)

Hence the equation in slope-intercept form is y-4 = 4/9(x-10)

7 0
3 years ago
Suppose that y varies directly with x, and y=15 when x=24. Write a direct variation equation that relates x and y. Find y when x
Lapatulllka [165]

Just set up a proportion with the original numbers and then the numbers you want to find like so: (x1/y1)=(x2/y2) and since you want to find the second y value, just leave y as a variable like so: (15/24)=(3/y) after this just cross multiply and get the answer: 15y=72.....y=4.8


4 0
3 years ago
Read 2 more answers
Use the order of operations to simplify 4 3/5 + 15 divided by 5 - 1/5
Sonbull [250]

Answer:

The answer is 7.4

Step-by-step explanation: I don’t really know a better way to tell you the explanation than just tell you the answer

6 0
3 years ago
Read 2 more answers
Pooopie ok or no ok?
Helga [31]

Answer:

It's Ok

Step-by-step explanation:

Mark me brainliest :>

6 0
3 years ago
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A game show has a bonus round where a contestant gets to spin a balanced wheel that is divided into eighths. The contestants win
kondaur [170]
The answer is <span>A. 142.

After a profound research, I found out that the wheel numbers are:
25, 80, 60, 20, 100, 500, 150, 200.

To calculate h</span><span>ow many cans of turtle wax can the game show expect to give out per player in the long run, we need to calculate the mean of the numbers on the wheel:
</span>x= \frac{25+80+60+20+100+500+150+200}{8} = \frac{1,135}{8}= 141.875
<span>
</span>⇒ <span>x </span>≈ 142

5 0
3 years ago
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