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madreJ [45]
3 years ago
15

Can someone help me with this please ?

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

If the triangle is a right triangle, then

       (3x)² + x² = (10)² .

         9x² + x² = 100

             10x²  = 100

                 x²  =  10

                 x  =  √10  =  approx. 3.1622...

If ' x ' is <em>anything less than √10</em> , then the short sides are too short
to make a right angle at the top, and the angle where they meet
is obtuse.

' x ' has to be greater than  2.5 ... otherwise the two short sides
can't stretch far enough to reach both ends of the long side (10) .

So, if    2.5  <  x  <  √10 , then there is a triangle, and it's obtuse.


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3 0
2 years ago
A textbook store sold a combined total of 426 math and sociology textbooks in a week. The number of math textbooks sold was 88 m
SOVA2 [1]
Let m and s be the number of math and sociology books sold respectively.

m=s+88 we are also told that:

m+s=426, using m found above in this equation gives you:

s+88+s=426 combine like terms on left side

2s+88=426  subtract 88 from both sides

2s=338  divide both sides by 2

s=169, since m=s+88

m=169+88=257

So 257 math and 169 sociology textbooks were sold.
8 0
2 years ago
(Please help!)<br><br> Divide:<br> (4x² +33x+37) = (x+7)<br><br> Quotient:<br><br> Remainder:
Drupady [299]

Answer:

2

Step-by-step explanation:

4x² + 33 x + 37 = (4 x + 5) × (x + 7) + 2

5 0
2 years ago
The length of a bridge is 230 m. The length of each of Robert's paces is 75 cm.
wariber [46]

Answer:

307 paces

Step-by-step explanation:

First, lets convert Robert's pace to metres. (cm > m)

75cm = (75/100)m

= 0.75m

Number of Full Paces = Length of Bridge / 1 Full Pace

=

\frac{230m}{0.75m}  \\  = 306 \frac{2}{3} paces

See , we must have full paces, and in this case we are finding the minimum number of paces, so we will be looking at the lowest possible whole number, which in this case, is 307 paces.

5 0
1 year ago
The cost of renting a jumping castle includes a fixed charge of $325 for setup and delivery, and a variable charge of $125 for e
kumpel [21]

89Step-by-step explanation:

6 0
2 years ago
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