Please help!!!


A television camera at ground level is fulming the lift-off of a space shuttle at a point 750 meters from the launch pad. The angle of elevation is 28" to the shuttle. Determine how far off the ground the shuttle is.

Given:

[tex]\theta_1[/tex] is located in IV Quadrant.

[tex]\sin (\theta_1)=-\dfrac{24}{25}[/tex]

To find:

The value of [tex]\cos \theta_1[/tex].

Solution:

We have,

[tex]\sin (\theta_1)=-\dfrac{24}{25}[/tex]

We know that,

[tex]\sin^2 \theta+\cos^2\theta=1[/tex]

So,

[tex]\sin^2 (\theta_1)+\cos^2(\theta_1)=1[/tex]

[tex]\left(-\dfrac{24}{25}\right)^2+\cos^2(\theta_1)=1[/tex]

[tex]\cos^2(\theta_1)=1-\dfrac{576}{625}[/tex]

[tex]\cos^2(\theta_1)=\dfrac{625-576}{625}[/tex]

Taking square root on both sides, we get

[tex]\cos (\theta_1)=\pm \sqrt{\dfrac{49}{625}}[/tex]

[tex]\cos (\theta_1)=\pm \dfrac{7}{25}[/tex]

[tex]\theta_1[/tex] is located in IV Quadrant. In IV Quadrant the value of cos is positive. So,

[tex]\cos (\theta_1)=\dfrac{7}{25}[/tex]

Therefore, [tex]\cos (\theta_1)=\dfrac{7}{25}[/tex].

Answer:

5,376in^3

Step-by-step explanation:

find the volume of the smaller box first

10×4×12 = 480in^3

find volume of bigger box

17×12×24 = 4,896in^3

add both volumes 4,896 +480 = 5,376in^3

Answer:

v = 5,376

Step-by-step explanation:

So the first thing we have to do is figure out the volume for the first part of the cube figure.

To do this we just multiply H x W x L =

In this case v = 4,896

Now we do the same thing with the other rectangular prism:

10 x 4 x 12 = 480

Now that we have the 2 volumes we add them together:

4,896 + 480 = 5,376

Hence the total volume = 5,376

Answer:

55%

Step-by-step explanation:

1.  You add all the candy together to show that all the candies added together equals 20.

11+6+3=20

2. You divide 11 by 20 to get the decimal

11/20=.55

3.  To get the percentage you just have to multiply .55 by 100.

4.  The final answer should be 55 %

Answer:

x²+11x+28

Step-by-step explanation:

(f - g) (x) = f(x) - g(x)

x² + 12x + 32 - (x + 4) = x² + 11x + 28

Answer  

1/5

Step-by-step explanation:

The slope of a perpendicular line is the negative reciprocal. Since y=-5x(m=-5), the slope is -(-1/5) which is 1/5

The slope of a line perpendicular to the line x - y = 6x is 1/5.

Here,

The equation of line whose equation is,

⇒x - y = 6x

We have to find the slope of a line perpendicular to the line x - y = 6x.

What is Equation of line?

The general equation of a straight line is,

y = mx + c

Where, m is the slope of the line.

Now,

The equation of line whose equation is,

⇒x - y = 6x

⇒ y = -5 x

Hence, the slope is -5.

The slope of a perpendicular line is the negative reciprocal.

So, The slope of a line perpendicular to the line x - y = 6x is,

⇒ [tex]-(\frac{1}{-5} )[/tex]

⇒ [tex]\frac{1}{5}[/tex]

The slope of a line perpendicular to the line x - y = 6x is 1/5.

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Answer:

Answer:

see below

Step-by-step explanation:

3x+6=total cost

3(8)+6=30$

Answer:

$72.80

Step-by-step explanation:

You would multiply 52 with .40 to get 20.8. This is how much the price increased by. Then you would add the 20.8 to your original price of 52 to get 72.80.

(Also you use .40 initially because percent means out of 100. So 40% is the same as .4)

The new price after the sale of a new computer is, $72.8

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The price of the computer was $52 on the day he bought it.

And, The next day it had been marked up by 40%.

Let the new price after the sale of a new computer = x

So, We can formulate;

⇒ x = $52 + 40% of $52

⇒ x = $52 + 40 × 52/100

⇒ x = $52 + $20.8

⇒ x = $72.8

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Answer:

Look at picture

Step-by-step explanation:

X intercept is when y = 0. so...

9x -15*0 = 45

9x = 45

x = 5. so the coordinate is (5,0)

Y intercept is when x = 0. so...

9*0 - 15y = 45

y = -3. so the coordinate is (0,-3)

then you plot these 2 points and draw a line going across them

162 m^2

you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)

and s^2=162

Answer: See explanation

Step-by-step explanation:

7.) 2 (x - 1) = 45

2x - 2 = 45

Add 2 to both sides

2x = 47

x = 23.5

8.) 5x - 2 = 2 (4)

5x - 2 = 8

Add 2 to both sides

5x = 10

Divide both sides by 5

x = 2

9.) x = 2 (30)

x = 60

10.) 3x - 6 = 2 (x)

3x - 6 = 2x

Add 6 to both sides

3x = 2x + 6

Subtract 2x from both sides

3x - 2x = 6

x = 6

2x + 1

Substitute x for 6

2 (6) + 1

12 + 1 = 13

2y = 13

Divide both sides by 2

y = 6.5

Hope that helped!

Answer: £280

Step-by-step explanation:

After a year, the total amount that was in the account was £291.20 which according to the question is 4% more than the amount Patrick invested.

Assume the amount invested is x.

x + 0.04x = 291.20

1.04x = 291.20

x = 291.20/1.04

= £280

Answer:it’s A. C. D.

Step-by-step explanation:

A.p.e.x

The three statements that are true of a blackbody radiator are; A. It emits a range of wavelengths of EMR. C. It emits frequencies of EMR that depend on its temperature. D. It does not reflect much of the EMR it receives.​

A blackbody radiator is an object which absorbs all the electromagnetic radiation at varying frequencies and angles of incidence.

Blackbody radiators posses a cavity which does not allow heat to escape from the radiator.

The electromagnetic spectrum is the distribution of radiation due to the different frequencies at which it radiates and its different intensities, that radiation is formed by electromagnetic waves, that are transverse waves formed by an electric field and a magnetic field perpendicular to it.

Therefore, we can conclude that the three statements that are true of a blackbody radiator are as listed.;

A. It emits a range of wavelengths of EMR.

C. It emits frequencies of EMR that depend on its temperature.

D. It does not reflect much of the EMR it receives.​

Hence, the three statements that are true of a blackbody radiator are option A, C and D.

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Answer:

panomonasabe kumainka ng tae masarap ba gustumupa ha gustu mo gutu mo

x - 3 < 6         {add 3 to both sides}

x < 9

graph

x∈(-∞; 9)

Answer:

there are a total of 20 boys and 30 girls in the choir of 50 students

Step-by-step explanation:

Scale the ratio 2:3. so that the numbers on either side sum to 50 . 2+3=5 , and 50÷5=10 , so we scale our ratio by a factor of 10 . So there are a total of 20 boys and 30 girls in the choir of 50 students

Answer:

17 quarters and 32 dimes

Step-by-step explanation:

Just got a calculator out and started with an estimated guess and changed it till I got it correct.

Answer:

The probability that it would contain at least 6 letters is: 5/8

Step-by-step explanation:

From the question given above,

We know that there are 8 planet that was given.

Mercury        7 letters

Venus           5 letters

Earth             5 letters

Mars              4 letters

Jupiter            7 letters

Saturn             6 letters

Uranus             6 letters

Neptune.          7 letters

Therefore,

P(at least 6 letters) + P( Less than 6 letters) = 1

P (at least 6 letters) + P (3 planet) = 1

P (at least 6 letters) +  ( 3/8) = 1

P(at least 6 letters) = 1 - (3/8)

= 5/8

Answer:

x > -2

Step-by-step explanation:

The line on the graph points toward the right, so it would be a greater than sign ( > ). The sign is underlined because the line dot is filled in. If it wasn't filled in, it would not be underlined

The point on the line starts at negative 2.

hope this helps :)

Answer:

12

Step-by-step explanation:

by pythagoras’ theorem:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

b^2 = 144

b = 12

Answer:

blurry

Step-by-step explanation:

noob

Answer:

(-1,-1)

Step-by-step explanation:

Because that is where the dot is.

Hope this helps :)

Answer:

its a c e

Step-by-step explanation:

i just took the test

Answer:

can we go to bed first

Step-by-step explanation:

then i will check your speed

Answer:

27°

Step-by-step explanation:

A = ab sinC / 2

50 = 10 * 22 * SinC / 2

sin C = (50 * 2) / (10 * 22) = 100 / 220 = 0.455

C = 27°

Answer:

A

Step-by-step explanation: