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2 years ago

23 is what percent of 126?

Mathematics

1 answer:

Fiesta28 [93]2 years ago

6 0

Answer:

18.25%

Step-by-step explanation:

23/126 = x/100

126/100 = 1.26

23/1.26 = 18.253968254

Round to the nearest hundredth: 18.25

Therefore, 23 is 18.25% of 126.

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Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

3 years ago

On Sunday, a local hamburger shop sold a combined total of 414 hamburgers and cheeseburgers. The number of cheeseburgers sold wa

dsp73

414 divided by 2= 207
divided by 2 because two times the number
207 hamburgers sold

7 0

2 years ago

Rewrite 56+32 as the product of the GCF and a sum.

Vitek1552 [10]

56 = 2 x 2 x 2 x 732 = 2 x 2 x 2 x 2 x 2
GCF = 2 x 2 x 2 =8
Rewrite 56+32 as the product of the GCF and a sum:
56 + 32 = 8 (7+4)

8 0

2 years ago

Can someone please help me

babymother [125]

Answer:

Its a i just took the test

Step-by-step explanation:

4 0

2 years ago

Milk is a good source of many vitamins that can help us stay healthy. FDA recommends that the average vitamin A concentration fo

Lelechka [254]

Answer:

The degrees of freedom for this sample are 27.

The sample size to get a margin of error equal or less than 0.3656 is n=4450.

Step-by-step explanation:

The degrees of freedom for calculating the value of t are:

$df=n-1=28-1=27$

With 27 degrees of freedom and 95% confidence level, from a table we can get that the t-value is t=2.052.

The sample size to get a margin of error equal or less than 0.3656 can be calculated as:

$MOE=t\cdot s/\sqrt{n}\\\\n=\left(\dfrac{t\cdot s}{MOE}\right)^2=\left(\dfrac{2.052\cdot 11.8841}{0.3656}\right)^2=66.7^2\\\\\\n=4449.13\approx4450$

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3 years ago