Using lengths a, b, and c in the right triangle shown, how are the trigonometric functions of defined?

Answer:

205in. squared

Step-by-step explanation:

Two of the faces of the rectangular prism have a surface area of 37.5 and the other 4 have a surface area of 32.5. Adding them all together they have a surface area of 205.

Answer:

formula is S = 2(lw + lh + wh)

then you just plug in the numbers

2(7.5 x 5 + 7.5 x 6.5 + 5 x 6.5)

and solve

=237.5 in

Answer:

9 weeks

Step-by-step explanation:

used a calculator really easy

Answer:

[tex]\$1320[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number of units of A

[tex]y[/tex] be the number of units of B

For assembling we have

[tex]20x+25y\leq 3000[/tex]

For packaging we have

[tex]10x+5y\leq 1200[/tex]

Let profits earned be [tex]Z[/tex] so

[tex]Z=10x+8y[/tex]

We have the maximize the function.

Plotting the equations we can see that the intersection points are [tex](0,120),(100,40),(120,0)[/tex]

In the question it is mentioned we have to sell both the products so [tex]x[/tex] or [tex]y[/tex] cannot be [tex]0[/tex].

So, the point of maximiztion for the function would be [tex](100,40)[/tex]

The maximum profit would be

[tex]Z=10\times 100+8\times 40\\\Rightarrow Z=1320[/tex]

Answer:what do you need help with

Step-by-step explanation:

Answer:

1.67 inches

Step-by-step explanation:

HOPE IT HELPS YOUU

Answer:

h = 79 m

Step-by-step explanation:

The length of the string, H = 125 m

The kite forms 39° angle.

We need to find the height of the kite. Let it is h. We can find it using trigonometry i.e.

[tex]\sin\theta=\dfrac{P}{H}[/tex]

Where

P is perpendicular and H is Hypotenuse

So,

[tex]\sin\theta=\dfrac{h}{H}\\\\h=H\times \sin\theta\\\\h=125\times \sin(39)\\\\h=78.66\ m[/tex]

or

h = 79 m

So, the kite is flying at a height of 79 m.

Answer: 112

that is the answer

Answer:

4

Step-by-step explanation:

you cracked, cooked, and ate the same two eggs

Answer:

all of them 1/3 is irrational

Step-by-step explanation:

Answer:

x = 43

Step-by-step explanation:

Since these angles are inside a right angle, we know their sums are complementary (they add up to 90°.)

x + x + 4 = 90

2x + 4 = 90 | Combine x's

2x = 86 | Subtract 4 from both sides

x = 43 | Divide both sides by 2

Answer:

i think its b

Step-by-step explanation:

i might be wrong but i think its

[tex]4 \sqrt{3 } [/tex]

Answer:

17 players

Step-by-step explanation:

6 people scored 2

8 people scored 3

3 people scored 4

Answer:

4x + 5

Step-by-step explanation:

10x + 4 - 6x + 1

= 4x + 5

Answer:

Hope this will help you.

Explanation is given in the above photo.

Answer:

it is your answer..... if it is helpful plzz like and comment

Answer:

Step-by-step explanation:

Area of two parallelograms = 3⅐ = 22/7

Area of one parallelogram = 11/7

Height = 1 2/7 = 9/7

base of one parallelogram = (11/7)/(9/7) = 11/9 yards

Answer:

b = 11/9 = 1 2/9

Step-by-step explanation:

A=bh

1.2(3 1/7)=b(1 2/7)

(1/2(22/7))/9/7=b

(11/7)/9/7=b

11/7x7/9=b

11/9=b

b= 1 2/9

Answer:

£39.95

Step-by-step explanation:

multiply it by £7.99×5

Answer:

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that [tex]P(A) = 0.45[/tex]

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that [tex]P(B|A) = 0.8[/tex]

What is the probability that the land has oil and the test predicts it?

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36[/tex]

0.36 = 36% probability that the land has oil and the test predicts it

Answer:

The probability that the land has oil and the test predicts it is 36%

Step-by-step explanation:

So option  C.  0.36 is correct for plato users

Answer:

a) September; b)October

Step-by-step explanation:

Just do the calculations, for example: 71+(-293). You will see September has a drop less 210 dollars and October has the biggest change of sales.

Answer:

32

Step-by-step explanation:

Hello There!

The first thing we need to do is find the formula for area of a trapezoid

The formula is

[tex]A=\frac{a+b}{2} h[/tex]

where a= base 1

b = base 2

and h = height

we are given all of the dimensions so all we have to do is plug them in

sp

[tex]A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32[/tex]

so the area of the figure is

32 units ²

Answer:

32

Step-by-step explanation:

Find formula

A=a+b/2 h

a= base 1

b = base 2

h = height

Then plug everything in

32 units ²

Answer:

6

Step-by-step explanation:

4/5=80%

1/8=12.5%

80÷12.5=6.4

Answer:  y = 4x + 11

Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11

Answer:

12

Step-by-step explanation:

There are 2 ways to choose the last digit (3 or 5), because the number has to be odd.

We're left with 3 digits that we need to arange anyhow. First digit we can choose any of the 3, then any of the 2 left. At the end, there's only one digit to choose.

Answer is 2 * 3 * 2 = 12

Answer:

Option E, two-proportion z test  should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month

Step-by-step explanation:

The complete question is

In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past

month. In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that

they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient

evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same

as the proportion of shoppers in a large downtown shopping area who had been to a movie in the past month?

A one-proportion z interval B two-proportion z interval

B two-proportion z interval

C two-sample t test D one-proportion z test

D one-proportion z test

E two-proportion z test

Solution

Two proportion z test is used to compare two proportions. In this test the null hypothesis is that the two proportions are equal and the alternate hypothesis is that the proportions are not the same. The random sample of populations serve as two proportions.

Hence, option E is the best choice of answer

Answer:

9

Step-by-step explanation:

I replaced the missing variable with x and solved the equation from there.

Answer:

10.75

Step-by-step explanation:

i got this because the first part says 13 × 3/8 so this means that the numbers 2 × 3/8 + 3/8 + 3/8 and the unknown number have to equal 13. so when u multiply 2 x 3/8 you get .75 and then you add the two other numbers and get 1.5 and then you subtract 1.5 from 13 and you get 11.5

PHEWW

Answer:

y = 3x + 12

Step-by-step explanation:

Slope (m) = 24-9/4-(-1)

= 25/5

= 3

Using point (-1 , 9)

y - y1 = m (x - x1)

y - 9 = 3 (x - -1)

y - 9 = 3 (x + 1)

y - 9 = 3x + 3

y = 3x + 3 + 9

y = 3x + 12