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2 years ago

Find the value of x. Round to the nearest tenth.

Mathematics

1 answer:

timurjin [86]2 years ago

8 0

Answer:

1.6 ft

Step-by-step explanation:

If you use the Pythagorean Theorem to solve for x, you get:

$x=\sqrt{2.1^2-1.4^2}$

$x=\sqrt{2.45} = 1.56524758425$

Rounded to the nearest tenth, the answer is 1.6

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The side of each of the equilateral triangles in the figure is twice the side of the central regular hexagon. What fraction of t

lana [24]

Answer:

The fraction is 1/4

Step-by-step explanation:

we know that

The area of an equilateral triangle, using the law of sines is equal to

$A=\frac{1}{2}x^{2}sin(60^o)$

$A=\frac{1}{2}x^{2}(\frac{\sqrt{3}}{2})$

$A=x^{2}\frac{\sqrt{3}}{4}$

where

x is the length side of the triangle

In this problem

Let

b ----> the length side of the regular hexagon

2b ---> the length side of the equilateral triangle

step 1

Find the area of the six triangles

Multiply the area of one triangle by 6

$A=6[x^{2}\frac{\sqrt{3}}{4}]$

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=2b\ units$

substitute

$A=3(2b)^{2}\frac{\sqrt{3}}{2}\\\\A=6b^{2}\sqrt{3}\ units^2$

step 2

Find the area of the regular hexagon

Remember that, a regular hexagon can be divided into 6 equilateral triangles

The area of the regular hexagon is the same that the area of 6 equilateral triangles

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=b\ in$

substitute

$A=3(b)^{2}\frac{\sqrt{3}}{2}$

step 3

To find out what fraction of the total area of the six triangles is the area of the hexagon, divide the area of the hexagon by the total area of the six triangles

$3(b)^{2}\frac{\sqrt{3}}{2}:6b^{2}\sqrt{3}=\frac{3}{2} :6=\frac{3}{12}=\frac{1}{4}$

3 0

3 years ago

Round 939,515 to the nearest ten

Radda [10]

Answer:

939,520 would be the answer. You're rounding the 15 part up to the next ten which would be 20, making the answer 939,520.

6 0

3 years ago

Read 2 more answers

cattie started with 12 ounces of water when she began her walk when she finished walking she had 2 1/4 ounces of water left how

Blizzard [7]

It is 9 3/4 because 12- 2 1/4 is 9 /14

6 0

3 years ago

Sara’s teacher gave her class 10 quizzes, each worth 30 marks. Sara’s marks on the test are given below.

leonid [27]

Answer:

The mean is 6.6

The median is 16

mode is 18

Step-by-step explanation:

I'm not sure if this is tight but yeah:)

4 0

2 years ago

A recent poll of 80 randomly selected Californians showed that 38% ( = 0.38) believe they are doing all that they can to conserv

Elanso [62]

The margin of error given the proportion can be found using the formula

$z* \sqrt{ \frac{p(1-p)}{n} }$

Where
$z*$ is the z-score of the confidence level
$p$ is the sample proportion
$n$ is the sample size

We have
$z*=2.58$
$p=0.38$
$n=80$

Plugging these values into the formula, we have:
$2.58 \sqrt{ \frac{0.38(1-0.38)}{80} } =0.14$

The result 0.14 as percentage is 14%

Margin error is 38% ⁺/₋ 14%

8 0

3 years ago

Read 2 more answers