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3 years ago

PLS ANSWER FAST 60 PTS

Mathematics

1 answer:

kakasveta [241]3 years ago

5 0

Answer:

72 sqrt(3) ft^2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

We can find the height by

tan theta = opp /adj

tan 60 = h /12

12 tan 60 = h

12 sqrt(3) = h

Then we can find the area

A = 1/2 bh where b is the length of the base and h is the height

A = 1/2 ( 12) ( 12 sqrt(3))

A = 72 sqrt(3) ft^2

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Factor: 6x^2 + 11x + 3<br><br> Write each factor in standard form.

yKpoI14uk [10]

The answer is: (2x+3) (3x+1)

8 0

3 years ago

Find the value of C: <br>6x + Cy = 18<br>3x + 2y = 8

Natalija [7]

I think C is 6, I’m not sure if thats right though. But if X=2 and Y=1
6(2)+6(1)= 18
3(2)+2(1)= 8

5 0

3 years ago

In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the population stand

yKpoI14uk [10]

Answer: $=(29.1596\text{ degrees},\ 30.2404\text{ degrees})$

Step-by-step explanation:

Given: Sample size: n = 41

Sample mean $\overline{x}= 29.7$ degrees

Population standard deviation $\sigma=2.7$ degrees

Confidence level (c) = 80% =0.80

Significance level (a) = 1- c = 1-0.80 = 0.20

z-score for 80% confidence level : z = 1.2816 [from z-table]

Confidence level for population mean :-

$\overline{x}\pm z\dfrac{\sigma}{\sqrt{n}}$

$=29.7\pm ( 1.2816)\dfrac{2.7}{\sqrt{41}}$

$=29.7\pm ( 1.2816)\dfrac{2.7}{6.403124}$

$=29.7\pm ( 1.2816)(0.42167)$

$=29.7\pm 0.5404$

$=(29.7-0.5404,\ 29.7+0.5404)$

$=(29.1596,\ 30.2404)$

Hence, 80% confidence interval for the temperatures in the freezer $=(29.1596\text{ degrees},\ 30.2404\text{ degrees})$

7 0

3 years ago

X/9 = 9/27 please solve this for me

mars1129 [50]

Answer:

x=3

Step-by-step explanation:

This is a proportional equation:

Given: x/9=9/27

Cross-multiply: 27x=81

Divide: x=3

So x=3

6 0

3 years ago

Read 2 more answers

A plane takes off and flies at an angle of 11° with the ground. When it reaches an elevation of 500 ft, what is the distance flo

drek231 [11]

Answer:

It had flown 2620 ft along the diagonal.

Step-by-step explanation:

When the plane is taking off it forms we can form a triangle with it's height, horizontal distance and diagonal distance, which can be seen in the attached drawing. We can use the sine relation on the right triangle to determine "x", as shown below:

sin(11°) = 500/x

x*sin(11) = 500

x = 500/[sin(11)] = 2620 ft

It had flown 2620 ft along the diagonal.

7 0

3 years ago