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3 years ago

What is another way to write this number: 300+70+5/10+8/100

Mathematics

2 answers:

slega [8]3 years ago

8 0

Step-by-step explanation:

370 + 50/100 + 8/100

37000/100 + 58/100

37058/100 = 370 58/100 = 370 29/50

zalisa [80]3 years ago

6 0

Answer:

18529/50 or 370.58

Step-by-step explanation:

5/10=1/2

8/100=2/25

300+70+1/2+2/25

370+1/2+2/25

370+29/50

18529/50 or 370.58

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Find the perimeter of the polygon defined by the coordinates (5, 8), (12, 0), (-5, 0), and (-12, 8). (Round to nearest tenth)

Wewaii [24]

$\displaystyle\\\text{We have the points:}\\E(5,~8)\\F(12,~0)\\G(-5,~0)\\H(-12,~8)\\\\EF=\sqrt{(5-12)^2+(8-0)^2}=\sqrt{(-7)^2+8^2}=\\=\sqrt{49+64}=\sqrt{113}\approx\boxed{\bf10.63}\\\\FG=12-(-5)=12+5=\boxed{\bf17}\\\\GH=\sqrt{(-5-(-12))^2+(0-8)^2}=\sqrt{7^2+(-8)^2}=\\=\sqrt{49+64}=\sqrt{113}\approx\boxed{\bf10.63}\\\\HE=|-12-5|=|-17|=\boxed{\bf17}\\\\P=EF+FG+GH+HE=10.63+17+10.63+17=55.26\approx\boxed{\bf55.3}\\\\\text{Correct answer: }~B)$

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2 years ago

Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane. a. (0,0), (16

ANEK [815]

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and (16,4) is given by:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x$

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

$y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22$

The slope of a line passing through the point (16,4) and (4,6) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}$

We have to find the equation of the line perpendicular to the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

$y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x$

Solving y = 6x and y = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

The slope of a line passing through the point (3,4) and (11,12) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1$

We have to find the equation of the line perpendicular to the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

$y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23$

The slope of a line passing through the point (11,12) and (8,15) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1$

We have to find the equation of the line perpendicular to the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

$y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1$

Solving y = -x + 23 and y = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

5 0

2 years ago

Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of

Oksana_A [137]

Answer:

You should claim 10.5325 years on your warranty.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 13, \sigma = 1.5$

Want's to replace no more than 5% of the products.

This means that the warranty should be 5th percentile, that is, the value of X when Z has a pvalue of 0.05. So X when Z = -1.645.

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

$-1.645 = \frac{X - 13}{1.5}$

$X - 13 = -1.645*1.5$

$X = 10.5325$

You should claim 10.5325 years on your warranty.

6 0

3 years ago

An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (

kolezko [41]

Answer:

x = 18311.61 m

Step-by-step explanation:

It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,

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