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2 years ago

A. 16

Mathematics

1 answer:

kogti [31]2 years ago

6 0

9514 1404 393

Answer:

C. 8√3/3

Step-by-step explanation:

It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...

1 : √3 : 2

That is the short leg is 1/√3 times the length of the longer leg.

8(1/√3) = 8(√3/3) . . . . . matches choice C

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Solve <img src="https://tex.z-dn.net/?f=%7B2x%7D%5E%7B2%7D%20%20%2B%208x%20-%201%20%3D%200" id="TexFormula1" title="{2x}^{2}

kramer

Answer:

x= ± $3\sqrt{2} /2$ +2

Step-by-step explanation:

Use the formula ( b/2) ^2 in order to create a new term. Solve for x by using this term to complete the square.

x= ± $3\sqrt{2} /2$ +2

4 0

5 months ago

Isabella is making cookies. The recipe requires 3/4 of a cup of flour and 1/2 of a cup of sugar.

podryga [215]

Measure of the flour is greater than the measure of the sugar

3 0

2 years ago

Read 2 more answers

In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a

Nady [450]

Answer:

a. 19.68 miles per gallon.

b. 26.32 miles per gallon.

Step-by-step explanation:

Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

$z=\frac{X-\mu}{\sigma}$

In a normal distribution, the 25th percentile (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

$-0.677=\frac{X_{25}-23}{4.9}\\X_{25}=19.68\ mpg$

19.68 miles per gallon.

b. The third quartile of the distribution of gas mileage is

$0.677=\frac{X_{25}-23}{4.9}\\X_{25}=26.32\ mpg$

26.32 miles per gallon.

5 0

2 years ago

Write this ratio 1:3.5 in the form p:q where p and q are whole numbers

Orlov [11]

We have to express the ratio 1 : 3.5 in the form p:q where p and q are whole numbers.

Consider the ratio of 1 and 3.5,

1 : 3.5 = $\frac{1}{3.5}$

= $\frac{10}{35}$

Reducing the above fraction to its lowest form.

So, we get $\frac{10}{35}=\frac{2}{7}$

Therefore, the ratio 1 : 3.5 is expressed as $\frac{2}{7}$

where 2 and 7 are the whole numbers.

4 0

2 years ago

\dfrac{-2}{3} \div 2\dfrac{1}{4} = 3 −2 ÷2 4 1

bekas [8.4K]

Answer:

$\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}$

Step-by-step explanation:

Given

$\dfrac{-2}{3} \div 2\dfrac{1}{4} =$

Required

Solve

Start by converting the mixed number to improper fraction

$\dfrac{-2}{3} \div \dfrac{9}{4} =$

Convert the division to muliplication

$\dfrac{-2}{3} * \dfrac{4}{9} =$

$\dfrac{-2*4}{3*9}=$

$\dfrac{-8}{27}$

Hence:

$\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}$

7 0

2 years ago