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Archy [21]
2 years ago
14

Find the value of x. If your answer is not an integer, express it in simplest radical form.

Mathematics
1 answer:
DedPeter [7]2 years ago
7 0

Answer:

x = 8√5

Step-by-step explanation:

for right triangle

c^2 = a^2 + b^2

with c is the hypotenuse; a & b are the other sides

(4 + 16)^2 = (4√5)^2 + x^2

400 = 80 + x^2

x^2 = 320

x^2 = 64(5)

√x^2 = √64(√5)

x = 8√5

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The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that
Murljashka [212]

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft

which is approximately 6.708 feet

6 0
3 years ago
Someone please help. It is easy
Juli2301 [7.4K]
Alright. So we have 2 eggs at 2.49 each. That is $4.98. We have .25 pounds cheese priced at $13.40 per pound. 13.40 x .25 = $3.35. Then we have juice at $5.49. If we add those up we get: 4.98+3.35+5.49=$13.82. Then we get $0.75 in change, so if we add $13.82 and 0.75 we get: $14.57

The answer is $14.57.
Brainliest???
5 0
3 years ago
Find the geometric mean of 7 and 9
charle [14.2K]

Answer:

\large\boxed{3\sqrt7}

Step-by-step explanation:

\text{Geometric mean:}\\\\\underbrace{\sqrt[n]{a_1\cdot a_2\cdot a_3\cdot...\cdot a_n}}_n\\\\\sqrt{7\cdot9}=\sqrt{9}\cdot\sqty7=3\sqrt7

3 0
3 years ago
I'm simply horrible at algebra, pls help a friend out thanks guys :~)
muminat
Too many questions to be typed out ... I did it on the paper instead.

8 0
2 years ago
Enter the number in standard notation.
Jobisdone [24]
<h3>The length in standard notation is 0.05 meter</h3>

<em><u>Solution:</u></em>

Given that,

Jeremy measured the length of an ant as 5 \times 10^{-2}\ meter

We have to write the length in standard notation

From given,

Length = 5 \times 10^{-2}\\\\Length = \frac{5}{10^{2}}\\\\Simplify\\\\Length = \frac{5}{100}\\\\Length = 0.05

Thus the length in standard notation is 0.05 meter

<em><u>Method 2:</u></em>

length = 5 \times 10^{-2}\ meter

Use the exponent of 10 to determine how many places to move the decimal point

Since exponent is -2, is negative

Thus, we have to move the decimal point to right 2 places

5 \times 10^{-2} = 0.05

Thus the length in standard notation is 0.05 meter

5 0
3 years ago
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