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3 years ago

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Mathematics

1 answer:

Leona [35]3 years ago

6 0

Answer:

2x $\sqrt{15}$

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = $\sqrt{4}$ · $\sqrt{15}$ · $\sqrt{x^2}$

This can be simplified to be 2x $\sqrt{15}$

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What is the arithmetic mean between 27 and -3

Gekata [30.6K]

Answer: 35.3

Explanation: (-3-2-1+0+1+2+....27)/30 = 35.3

6 0

3 years ago

If a bill totals 123.85 with 5% tax and 18% tip what is the total bill

lianna [129]

Answer:

$152.33

Step-by-step explanation:

123.85 x 0.05 = $6.19

123.85 x 0.18 = $22.29

123.85 + 6.19 + 22.29 = $152.33

6 0

3 years ago

A bird flies 2/3 of a mile per minute. How many miles per hour is it flying?

Snowcat [4.5K]

Answer:

40 MPH (Miles Per Hour)

Step-by-step explanation:

Well i will put it in simple terms. Put 2/3 into a decimal point, which for this fraction is 0.66666666667 (the 6 is infinite basically). Then you multiply it by 60, because you know it goes in that distance in one minute and 60 minutes makes a hour, which equals 40. So the answer is 40 MPH.

6 0

3 years ago

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 inches. (A

Kisachek [45]

Answer:

A. 14x14x28

B. The maximum volume is 5488 cuibic inches

Step-by-step explanation:

The problem states that the box has square ends, so you can express volume with:

$v=x^{2} y$

Using the restriction stated in the problem to get another equation you can substitute in the one above:

$4x+y=84\\\\$

Substituting <em>y</em> whit this equation gives:

$v=x^{2} (84-4x)\\\\v=84x^{2} -4x^{3}$

Now find the limit of <em>x</em>:

$\frac{84x^{2}-4x^{3}}{dx}=168x-12x^{2}\\\\x=\frac{168}{12}=14$

Find the length:

$y=84-4(14)=28$

You can now calculate the maximum volume:

$v=(14)^{2}(28)= 5488$

6 0

3 years ago

Please help with this

snow_lady [41]

Answer:

B. $- \frac{9}{8}$

Step-by-step explanation:

$\huge\frac{ - 2 {a}^{ - 3} {b}^{2} }{a} \\ \\ \huge = \frac{ - 2 {b}^{2} }{a \times{a}^{ 3} } \\ \\ \huge = \frac{ - 2 {b}^{2} }{{a}^{ 4} } \\ \\ \huge = \frac{ - 2 \times {3}^{2} }{ {( - 2)}^{4} } \\ \\ \huge= \frac{ - 2 \times 9}{16} \\ \\ \huge \red{= - \frac{9}{8} }$

8 0

3 years ago