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2 years ago

5.

Mathematics

1 answer:

andrew-mc [135]2 years ago

4 0

Answer:

The angle of depression from Platform A to Platform B is $43.1^{\circ}$

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

$Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}$

Hence the angle of depression from Platform A to Platform B is $43.1^{\circ}$

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A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is n

pantera1 [17]

Answer:

p=0.063

Step-by-step explanation:

Let X be number of the certain brand of jelly beans that are made so that each package contains about the same number of beans.

X is N(375, 8)

YOu are collecting a sample size of

n = 8

Findings from the sample

$\bar x =370\\$

$H_0: \bar x =375\\H_a: \bar x$

(Left tailed test at 5% level)

Since sample size is small though sigma is known we use Z test, since norm

Mean difference = -5

Std error = $\frac{8}{\sqrt{8} } =2.828$

Test statistic t = mean diference / std error = $\frac{-5}{2.828} \\=-1.768$

df = n-1 =5

p value = 0.063

7 0

1 year ago

The volume Vr (in cubic meters) of a spherical balloon with radius r meters is given by =Vr43πr3. The radius Wt (in meters) afte

Arte-miy333 [17]

Answer:

$M_t=\frac{1372}{27}\pi t^9$

Step-by-step explanation:

We are given that Volume of spherical balloon in cubic meters

$V_r=\frac{4}{3}\pir^3$

We have to find the value of volume of the balloon after t seconds.

We are given that radius of spherical balloon after t seconds

$W_t=7t^3$

Substitute the value then we get

$M_t=\frac{4}{3}\pi(7t^3)^3$

$M_t=\frac{1372}{27}\pi t^9$

Hence, the volume of spherical balloon is given by the formula

$M_t=\frac{1372}{27}\pi t^9$

7 0

2 years ago

I NEED HELP . I'm having trouble trying to figure out how to answer this can anyone help please?

klio [65]

Answer:

what is it?

Step-by-step explanation:

7 0

1 year ago

The table shows some values of a function of the form y = ax2 + bx + c.

natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0

1 year ago

A town has a population of 14,000 and grows 5% every year. What will be the population after 14 years, to the nearest whole numb

hammer [34]

Answer:

23,800 people

Step-by-step explanation:

what is 5 % of 14,000- 700( 0.05 times 14,000)

700 times 14 is 9,800

9800 + 14000 is

0 0

2 years ago