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natulia [17]
3 years ago
13

Grade 8- The Pythagorean Theorem

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0
1) pythagorean theorem = a2 + b2 = c2
SO:
10^2 + 6^2 = c2
100 + 36 = c2
136 = c2
Diagonal should equal about 11.66 meters

2)  pythagorean theorem = a2 + b2 = c2
SO:12.7^2 + 8.9^2 = c2
161.29 + 79.21 = c2
240.5 = c2
Elevation should equal about 15.1 degrees
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Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of
dimaraw [331]

Answer:

C. 5

Step-by-step explanation:

Point R divides the line segment PQ internally. The x-coordinate of the point which divides the line segment in ration m:n internally can be calculated as:

x=(\frac{mx_{2}+nx_{1}}{m+n} )

Here, x1 is the x-coordinate of 1st point, x2 is the x-coordinate of 2nd point, x is the x-coordinate of point dividing the segment. We have all the values except x2. Using the given values in above formula, we get:

-1=\frac{x_{2}+3(-3) }{1+3} \\ \\-4=x_{2}-9\\\\ 5=x_{2}

Thus the x-coordinate of point Q will be 5

The x-coordinate of Q is 5.

7 0
4 years ago
Factor completely 12y+6
Reptile [31]
Your answer would be:
6(2y+1)
3 0
3 years ago
If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank ? A) 2.4 minutes B) 2.8 minute
Rina8888 [55]

Answer:

D.

Step-by-step explanation:

Set this up as a ratio with #parts of tank on top and #minutes on the bottom and then solve it as a proportion with x being the unknown number of minutes in the second ratio.

\frac{\frac{5}{9} }{2}=\frac{1}{x}

Notice the 1 in the numerator of the second ratio.  This is because a whole tank is represented by 9/9 which is the same thing as 1.

Cross multiply to solve for x:

\frac{5}{9}x=2(1)

To solve for x we will multiply both sides by 9/5:

(\frac{9}{5})(\frac{5}{9})x=2(\frac{9}{5})

9/5 and 5/9 cancel each other out when multiplied leaving simply "x" on the left.  And multiplying on the right:

x=\frac{18}{5}

which divides to 3.6 minutes

6 0
3 years ago
john drove 225 miles using 10 gallons of gas at this rate how many gallons of gas would he need to drive 441 miles?
Monica [59]

Answer:

19.6 gallons

Step-by-step explanation:

225/10 = 441/x

x = (441 × 10) ÷ 225

x = 19.6 gallons

5 0
3 years ago
Read 2 more answers
How to i solve for x in this situation? thank yous.
Lena [83]

i did not understand the question can u explain again i can help u


4 0
4 years ago
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