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3 years ago

5

In a race consisted of three parts for cycling part was 12 1/2 miles long the running part of the race was one for the distance

of the cycle apart the kayaking of the race was one half the distance of running part what was what was the disc entire distance in miles of the race

1 answer:

asambeis [7]3 years ago

5 0

The disc of the entire race is 37 1/2

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The lengths of the diagonals of a rhombus are 2x and 10x. What expression gives the perimeter of the rhombus?

True [87]

Answer:

$P=4x\sqrt{26}\ units$

Step-by-step explanation:

we know that

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so

Applying the Pythagorean Theorem

$c^2=a^2+b^2$

where

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a and b are the semi-diagonals

we have

$a=2x/2=x\ units\\b=10x/2=5x\ units$

substitute the values

$c^2=x^2+(5x)^2$

$c^2=26x^2$

$c=x\sqrt{26}\ units$

To find out the perimeter of the rhombus multiply the length side by 4

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4 years ago

The system has infinitely many solutions. Rearranging the left side of the 2nd equation and subtracting 3a from both sides gives

Alex_Xolod [135]

Answer:

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3 years ago

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4 years ago

If f(x) =3x+5 and g(x) =x-1, then f[g(0) =?

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3 years ago

Jake’s measures the height of a tree to be 74 3/8

goblinko [34]

I'm assuming the question is asking how tall the tree is if it has grown 2 3/4 inches.

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$74\frac{3}{8} + 2\frac{3}{4}$

Since these are both mixed numbers, we must find a common denominator to add our fractions. 8 is the lowest common denominator for 4 and 8. So:

$74\frac{3}{8} + 2\frac{6}{8}$

We can now add our whole numbers up (74 + 2) and add the numerators of the fractions together to get a single fraction ( $\frac{3}{8} + \frac{6}{8}$ ).

74 + 2 = 76

$\frac{3}{8} + \frac{6}{8} = \frac{9}{8}$

Putting these two together, we get $76 \frac{9}{8}$ , which is equal to $77\frac{1}{8}$ .

We can also turn this answer into an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator. So in this case:

77 x 8 = 616

616 + 1 = 617

The denominator stays the same, so our answer as an improper fraction would be $\frac{617}{8}$ .

So the tree is $77\frac{1}{8}$ inches tall, or $\frac{617}{8}$ inches tall.

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