Help!! Me!! Please!!

As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.

We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?

SOH

[tex]sin = \frac{opposite}{hypotenuse} [/tex]

CAH

[tex]cosine = \frac{adjacent}{hypotenuse} [/tex]

TOA

[tex]tan = \frac{opposite}{adjacent} [/tex]

In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.

adjacent, a = 45.0

opposite, o = 32.0

So, to find the angle of elevation, refer to the second picture above.

Answer: c=6

Step-by-step explanation: $12.50 x 5 adults = $62.50. $7.75 X 6 children = $46.50. $62.50 + $46.50 = $109

1. 4 g/mL

2. 2 g/mL

3. 5 mL

4. 400g

5. 25g

6. 2 cm^3

7. 2 g/cm^3

Answer:

-35x³ - 39x² + 25x

Step-by-step explanation:

Step 1: Write out expression

(5x - 3x²) - (5x - 2)(10x + 7x²)

Step 2: Distribute/Expand

5x - 3x² - (50x² + 35x³ - 20x - 14x²)

Step 3: Combine like terms

5x - 3x² - (36x² + 35x³ - 20x)

Step 4: Distribute negative

5x - 3x² - 36x² - 35x³ + 20x

Step 5: Combine like terms

-35x³ - 39x² + 25x

Answer:

WAIT standard .?

Step-by-step explanation:

Answer:

=2456

Step-by-step explanation:23456

2 of 5 is a 40% chance

40% * 40 = 16

He should expect to be stopped 16 times.

Answer:

Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

Answer:Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

Answer:

square root of a plus 3

Step-by-step explanation:

Answer:

200 miles

Step-by-step explanation:

Company A

Company B

Assume x miles that makes same amount for both options, then:

The answer is 16 cm approx.

Diameter= 2[tex]\sqrt{a/pi}[/tex]

=>2[tex]\sqrt{201 / 22/7}[/tex]

=>2[tex]\sqrt{201*7/22}[/tex]

=>15.997.......

=> 16 approx

Hope this helps you!!

Answer:

The diameter of the circle  is 16

Step-by-step explanation:

[tex]\pi = 3.14[/tex]

Area = [tex]\pi r^{2}[/tex] you will have to use this formula to find the radius

[tex]\pi r^{2} = 201[/tex]   =   [tex]3.14r^{2}=201[/tex] (divide 3.14 into both sides)

[tex]\frac{3.14r^2}{3.14} = \frac{201}{3.14}[/tex]   cross out 3.14 leaves you with [tex]r^2[/tex]  and divide 201/3.14= 64.01

[tex]r^2 = 64.01\\r = \sqrt{64.01}\\r = 8[/tex]  square root 64.01 which equals 8

Diameter = [tex]2r[/tex]    2(8) = 16

To check answer use Area formula [tex]\pi (8)^{2}[/tex] = 201. 0619298

it is 10.63

Step-by-step explanation:

Used a calculator

Answer:

x > 5/8

Step-by-step explanation:

[16x+2] > 12

16x > 12 - 2

16x > 10

x > 10/16

x > 5/8

Answer:

Step-by-step explanation:

16x + 2 > 12

16x > 10

x > 10/16

x > 5/8

Answer:

Answer: m<RUT=80

Step-by-step explanation:

took the test

If ray US is an angle bisector of ∠RUT, m∠RUT = 80°.

The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter.

According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures.

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Answer:

D= 10

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(0-6)^2+(1-9)^2}\\d=\sqrt{(-6)^2+(-8)^2}\\d=\sqrt{(36)+(64)}\\d=\sqrt{100}\\d=10[/tex]

Slope:

[tex]\sf{\dfrac{2}{5}}[/tex]

Explanation:

Parallel lines have the same slope, so the slope of y = 2/5x + 2 will be the same as the slope of the line which is parallel to it.

The equation is written in slope-intercept form, aka y = mx + b, where m is the slope and b is the y-intercept.

In slope intercept, the slope is always the number that comes before x.

For this equation, the number in front of x is 2/5.

So, I come to the conclusion that the slope of the line parallel to y = 2/5x + 2 is 2/5.

Answer:

m = -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

m = -1

☽------------❀-------------☾

Hi there!

~

Let's solve your equation step-by-step.

[tex]6(m+2)+6m=-5(-7m-7)[/tex]

Step 1: Simplify both sides of the equation.

[tex]6(m+2)+6m=-5(-7m-7)[/tex]

[tex](6)^{(m)} + (6)(2)+6m= (-5)(-7m)+(-5)(-7)[/tex] (Distribute)

[tex]6m+12+6m=35m+35[/tex]

[tex](6m + 6m)+(12)=35m + 35[/tex] (Combine Like Terms)

[tex]12m + 12 = 35m + 35[/tex]

[tex]12m + 12 = 35m + 35[/tex]

Step 2: Subtract 35m from both sides.

[tex]12m + 12 - 35m = 35m + 35 - 35m[/tex]

[tex]-23m + 12 = 35[/tex]

Step 3: Subtract 12 from both sides.

[tex]-23m + 12 - 12= 35 - 12[/tex]

[tex]-23m = 23[/tex]

Step 4: Divide both sides by -23.

[tex]\frac{-23m}{-23} = \frac{23}{-23}[/tex]

[tex]m = 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

center of rotation

Step-by-step explanation:

Answer:

-11.1

12°F= -11.1°C

Sorry if I'm late to answering..

The temperature of Alaska in degree celsius will be -11.11°C.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example, kilo gram to gram.

Given the temperature of Alaska 12° F.

Since we know,

°C = 5/9(°F - 32)

Given that.

°F → 12°F

So,

°C = 5/9(12 - 32)

°C = 5/9(-20)

°C = -11.11

Hence "The temperature of Alaska in degree celsius will be -11.11°C".

To learn more about unit conversion,

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Answer:

0.306 fl oz.

Step-by-step explanation:

9 mL * (0.034 fl oz / 1 mL) = 0.306 fl oz [the millilitres canceled out].

Hope this helps!

Answer:jenlso helmaiv eksin

Step-by-step explanation:

Answer:

The 43rd day of spending $45.

Step-by-step explanation:

Let the number of days = x.

If she spends $45 per day, then in x days she spends 45x.

She starts with $2400, so 45x is subtracted from 2400.

2400 - 45x < 500

Subtract 2400 from both sides.

-45x < -1900

Divide both sides by -45. Remember to change the direction of the inequality sign when multiplying or dividing by a negative number.

x > 42.2

Answer: The first day is the 43rd day of spending $45.

Answer:

Step-by-step explanation:

The cost of one ticket will be  £8.20

Explanation

Suppose, the cost of one ticket is  

As the offer says "buy 3 tickets and get a ticket free" , it means they actually need to pay for 3 tickets.

So, the total cost of 3 tickets  

Each of four friends pay £6.15 , so the total amount they pay  

=£6.15*4=£24.60

Thus, the equation will be .....

=3x=24.60

=x=24.60/3=8.20

 So, the cost of one ticket will be  £8.20

Answer:

x = 18

Step-by-step explanation:

4x+4(x-6)=3(2x+4)

distribute

4x+4x-24=6x+12

combine like terms

8x-24=6x+12

carry across equal sign

2x-24=12

carry across equal sign

2x=36

divide

x=18

Answer:

X = 18

Step-by-step explanation:

4x + 4(x -6) = 3(2x + 4)

4x + 4x -24 = 6x + 12

8x -24 = 6x + 12

    +24         +24

8x = 6x + 36

-6x   -6x

2x = 36

Divide 2x and 36 by 2

X = 18

Answer:

I think the answers are 19, 17 and 76.

I am not sure...

Answer:

what

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

__

PQ means the whole length of PQ, same goes to the others (QR and PR)

The first option means the angles P, Q and R

The second option means the points P, Q and R