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Kruka [31]
3 years ago
11

Which set of values could be the sides lengths of a 30-60-90 triangle

Mathematics
1 answer:
Maslowich3 years ago
7 0
Hello,

Let's assume a the hypotenuse

b/a=sin 30°==>b=a/2

c/a=cos 30°==>c=√3 / 2 *a

(√3/2 a, a/2,a) are the sides of the triangle.


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I posted this 2 hours ago can someone pls help?
nikdorinn [45]

Answer:

0.314 gallon is required to cover a circular region with a radius of 40 feet

Step-by-step explanation:

Given

a gallon of paint will cover about 400 square feet in a single coat

To Find:

Number of gallons  required to cover a circular region with a radius of 40 feet = ?

Solution:

Step 1: Finding Area of the circular region

The  area of the circular region, A  = \pi r^2

where r is the radius

Now substituting r =  40 , we get

A = \pi \times 40

A = 125.6 ft^2

Step 2: Finding the number of gallons of paint required

To cover 400 sq feet  = 1 gallon

so to cover 1 square feet  = \frac{1}{400}gallon

Now to cover 125.6 ft we need

125.6 \times \frac{1}{400}

\frac{125.6}{400}

=> 0.314 gallon

4 0
3 years ago
A research company desires to know the mean consumption of meat per week among people over age 23. A sample of 164 people over a
Elan Coil [88]

Answer:

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{0.7}{\sqrt{164}} = 0.07

The lower end of the interval is the mean subtracted by M. So it is 4.1 - 0.07 = 4.03 pounds

The upper end of the interval is the mean added to M. So it is 4.1 + 0.07 = 4.17 pounds

Rounded to one decimal place

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

8 0
3 years ago
Please help. I don't need a big explanation just a answer
stiv31 [10]
A answer of the explanation for the explanation is the answer
6 0
3 years ago
Which is longer 2 meters or 200 cent a meters or 2.05 meters
Yuri [45]
Solving this requires use of conversions

we already know that
2.05 m > 2 m

all that's left is the question
200 cm vs. 2.05 meters

I we know our equivalencies, we know that
100 cm = 1 m

if this is so then
200 cm = 2 m

we already know that
2.05 m > 2 m

so it must also be that
2.05 m > 200 cm

2.05 \: meters
6 0
3 years ago
I need help answering this question
Gekata [30.6K]

ANSWER:

[a] A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).

[b] In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “Slope-intercepts form”.

NOTE: See picture attached.

7 0
3 years ago
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