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3 years ago

What is the correct answer to this multiple choice question? Please help!

Mathematics

1 answer:

exis [7]3 years ago

8 0

Answer:

p = 26.3

Step-by-step explanation:

Using the law of sines

sin 101 sin 38

--------- = ------------

42 p

Using cross products

p sin 101 = 42 sin 38

p = 42 sin 38 / sin 101

p=26.34175

To the nearest tenth

p = 26.3

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. Write an equation that is perpendicular to y=2x – 1 and has y-intercept of -3

blagie [28]

The answer is very simple .

First you need to determine the slope, which is the reciprocal of the first line.

Then,

y = mx + b

m => -1/m

The perperdicular line has a new slope equal to m = -1/2

In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.

So the final equation will be

-3 = -1/2 (0) + b

b = - 3

y = (-1/2)x - 3

That is the solution

6 0

1 year ago

The diagonal of the rectangle is 15 cm and one of its sides is 9 cm. find the area of the rectangle.

Tems11 [23]

The area of the rectangle is 108 square centimeters.

Given Information

The following information has been given in the question,

Length of the diagonal of the rectangle, l = 15 cm

Length of one of the sides of the rectangle, a = 9 cm

Let the other side of the rectangle be b.

Finding the Other Side of the Rectangle

According to Pythagoras Theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Applying this theorem in the right-angle triangle formed by the diagonal and 9cm side of the rectangle, we get,

l² = a² + b² [∵ The diagonal makes the hypotenuse]

(15)² = (9)² + b²

b² = (15)² - (9)²

b² = 225 - 81

b² = 144

b = √144

b = 12 cm

Calculating the Area of the Rectangle

Area of the rectangle, A = a × b

A = 9 × 12

A = 108 cm²

Learn more on a rectangle here:

brainly.com/question/15019502

#SPJ4

5 0

1 year ago

6) The amount of Jen's monthly phone bill is normally distributed with a mean of $70 and a standard

alexandr402 [8]

Answer:

i)The correct option is D.) 99.74%

ii) The correct option is B.) 68.26%

Step-by-step explanation:

i) P(10≤X≤70) = P( (10−40)/10 ≤Z≤ (70−40 )/10 ) = Pr(−3≤Z≤3)

= 0.9987 - 0.0013 = 0.99734

Therefore the percentage of Jen's monthly phone bills are between $40 and $100 is D.) 99.74%

ii)P(2.1≤X≤3.1) = P( (2.1 − 2.6) /0.5 ≤ Z ≤ (3.1−2.6 )/0.5) = Pr(−1 ≤Z ≤1) )

= 0.8413 − 0.1587 = 0.6826

Therefore the percentage of students at college have a GPA between 2.1 a,d 3.1 is B.) 68.26%

5 0

3 years ago

Graph the piecewise function given below. i need help please

yawa3891 [41]

Answer:

this may help you.look it once

8 0

2 years ago

Read 2 more answers

Can someone solve this?

ladessa [460]

First question:

Recall that $\cos^2x+\sin^2x=1$ and $\sqrt{x^2}=|x|$ for all $x$ . So

$\sqrt{1-\cos^2x}=\sqrt{\sin^2x}=|\sin x|$

$\sqrt{1-\sin^2x}=\sqrt{\cos^2x}=|\cos x|$

For $0$ , we expect both $\cos x>0$ and $\sin x>0$ (i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, $|x|=x$ if $x>0$ .

So we have

$\dfrac{\sqrt{1-\cos^2x}}{\sin x}+\dfrac{\sqrt{1-\sin^2x}}{\cos x}=\dfrac{\sin x}{\sin x}+\dfrac{\cos x}{\cos x}=1+1=\boxed{2}$

making H the answer.

Second question:

C is always true, because the inequality reduces to x > y.

6 0

3 years ago