All categories

3 years ago

What is the value of x in the diagram below ?

Mathematics

1 answer:

Amanda [17]3 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

12^2 + a^2 = 54^2

a^2 = 54^2 - 12^2

a = sqrt (54^2 - 12^2) = 6 * sqrt(77)

Then calculate it for another triangle, where each side is 6 times shorter (as 12/2 = 6):

2^2 + (sqrt(77))^2 = x^2

x^2 = 81

x = 9

You might be interested in

Determine the distance between the two points using the Pythagorean theorem.

galina1969 [7]

Answer:

d = 10

Step-by-step explanation:

Ok, so we know that the horizontal distance between the points is 6 and the vertical distance is 8. Using the Pythagorean theorem we know that 8^2+6^2=d^2 (d is the distance between points). When solving we get

8^2+6^2=d^2

64+36=d^2

100=d^2

d=10

6 0

2 years ago

The area of a rectangle field is 4424 m squared. If the width of the field is 56 m, what is its length?

Wewaii [24]

We can divide 4424 by 56 to find our length. 4424/56 is 79. Therefore, the length is 79m. To check our answer, we can multiply 79*56. 79*56 is 4,424.

6 0

2 years ago

Read 2 more answers

What is the effect on the volume of a sphere if the radius is divided by 3?

Neko [114]

For this case we have by definition, that the volume of a sphere is given by:

$V = \frac {4} {3} \pi * r ^ 3$

Where:

r: It is the radius of the sphere

If the radius is divided by 3 we have:

$\frac {r} {3}:$

$V = \frac {4} {3} \pi * (\frac {r} {3}) ^ 3\\V = \frac {4} {3} \pi * \frac {r ^ 3} {27}\\V = \frac {4} {81} \pi * r ^ 3$

ANswer:

the volume decreases considerably because the denominator increases

6 0

2 years ago

How do you do this???

wariber [46]

Answer:

idk im doing to same thing in class im confused too

Step-by-step explanation:

4 0

2 years ago

How many 1 1/2 liter bottles of water does it take to fill a 16 liter jug

timurjin [86]

11 bottles are needed to fill a 16 liter jug

Solution:

Given that, there is a 16 liter jug

There are $1\frac{1}{2}$ liters of bottle

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

$\rightarrow 1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2} = 1.5$

Thus the bottle is of 1.5 liter

We have to find the number of 1.5 liter bottles needed to fill 16 liter jug

Divide 16 by 1.5 to get result

$Number\ Of\ Bottles = \frac{16}{1.5} = 10.67 \approx11$

Thus 11 bottles are needed to fill a 16 liter jug

7 0

3 years ago