4
A flagpole is 12 feet tall. If the flagpole casts a 50-foot shadow, then what is the angle of elevation to the sun?
А
76.5
B
51.4
4.2
D
13.5

Answer:

x=27

Step-by-step explanation:

Answer:

the first one is y=x-1/2 and the second one is y=-3x+1

Step-by-step explanation:

Answer:

Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

Step-by-step explanation:

Given that Philip has 11 coins that equal a total of 82 cents, and his coins include at least 1 quarter 1 dime 1 nickel and 1 penny, to determine how many of each coin does he have the following calculation must be performed:

Quarter = 0.25

Dime = 0.10

Nickel = 0.05

Penny = 0.01

0.82 - 0.25 - 0.10 - 0.05 - 0.01 = 0.41

0.41 = 0.10 x 4 + 0.1 (5 coins + 4 previous coins = 9 coins).

0.41 = 0.10 x 2 + 0.05 x 4 + 0.01 (7 coins + 4 previous coins = 11 coins).

0.25 + (3 x 0.1) + (5 x 0.05) + (2 x 0.01) = X

0.25 + 0.30 + 0.25 + 0.02 = X

0.82 = X

Thus, Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

Answer:

[tex]Probability = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

Cards: E, L, O, R, U, and W

Required

The theoretical probability of selecting a vowel

The total number of cards are: 6

The vowels are:

Vowels: E, O and U

The total vowels are: 3

The theoretical probability is:

[tex]Probability = \frac{Vowels}{Total}[/tex]

[tex]Probability = \frac{3}{6}[/tex]

[tex]Probability = \frac{1}{2}[/tex]

The theoretical probability for drawing a card that has a vowel on it is 1/2 or 50%.

Given that a teacher placed the letter cards E, L, O, R, U, and W in a bag, and a card is drawn at random, to determine the theoretical probability for drawing a card that has a vowel on it the following calculation has to be done:

Therefore, the theoretical probability for drawing a card that has a vowel on it is 1/2 or 50%.

Learn more about probability in https://brainly.com/question/21852517

8 1/4 pounds converted to ounces is 132 ounces. 1 pound is 16 ounces, so all you have to do is multiply the number of pounds by 16.

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sorry if this doesn't help

Answer:

132

Step-by-step explanation:

Answer:

Step-by-step explanation:

i feel like it would be (4)(4)(4)(4)(4)(4)(4)(4) = 65536

The number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of  [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

For this case, we assume that:

"Letters" are denoting uppercase and lowercase english alphabets (26 uppercase, and 26 lowercase, so total 52 such letters).

And digits are denoting (0,1,2,3,4,5,6,7,8,9) so total 10 such digits.

Thus, total 52+10 = 62 different choices to choose from.

Of these 62 options, we can use one letter only one time in a password.

Choosing any 4 characters out of those 62 characters is done in:

[tex]^{62}C_4 = \dfrac{62 \times 61 \times 60 \times 59 \times 58!}{4 \times 3 \times 2 \times 1 \times 58!} = 557845[/tex] ways.

Each of those 4 selections have distinct characters, and in a password, their arrangement matters, so each of  those 557845 choices can be permuted in 4! ways.

Thus, total number of distinct 4 digit password out of 52 english letters and 10 digits is [tex]4! \times 557845 = 24 \times 557845= 13388280[/tex] ways. (or we could've directly evaluated [tex]^{62}P_4[/tex]

Thus, the number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

Learn more about combinations and permutations here:

https://brainly.com/question/13387529

#SPJ2

Answer:

Your answer is -5n=1.75

Answer:

Selling Price= $180

Step-by-step explanation:

100%×90=90

90+90=180

Answer:

20% of $50 is $10. This means that the pair of jeans now cost $60 since it got marked up.

Step-by-step explanation:

Answer:

For the first question, the answer is 10%. 24000 is 10% of 240000.

For the second question, the answer is 40%. 96000 is 40% o f 24000

Let me know if this helps!

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

555555578686

5555555ghjg

Step-by-step explanation:

4x10

40x3,3x108

=14256

If y = -x + 2, then substituting this into the first equation lets you solve for x :

x + 4y = 5

x + 4 (-x + 2) = 5

x - 4x + 8 = 5

-3x = -3

x = 1

Now solve for y :

y = -x + 2 = -1 + 2 = 1

So the solution is indeed (x, y ) = (1, 1).

y=3x-8

1. 1

2. 4

3. 7

4. 10

so what you have to do is plug in one of the x's from the table into the equation, which will solve for y.

y=3(3)-8

y=1

y=3(4)-8

y=4

y=3(5)-8

y=7

y=3(6)-8

y=10

i hope this helps :)

Answer:

c

Step-by-step explanation:

tye both have the same amount on each side

Answer:

c

Step-by-step explanation:

Answer:

A. 25.12 meters

..........

Answer:

39.06 m

Step-by-step explanation:

Given that,

Height of the building, h = 50 m

The angle of elevation at top of building is 52° when seen from a point on level ground.

We need to find the distance between point and foot of the building. Let the distance be d. Using trigonometry to find it. So,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular

B is base.

So,

[tex]\tan\theta=\dfrac{h}{d}\\\\d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{50}{\tan(52)}\\\\d=39.06\ m[/tex]

So, the distance between point and foot of the building is 39.06 m

Applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

Recall:

The information of the building has been sketched in the diagram shown in the image attached below. It shows a right triangle.

Apply the trigonometry ratio, TOA:

tan ∅ = opposite/adjacent

tan 52 = 50/x

x = 50/tan 52

x = 39.1 m

Therefore, applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

Learn more about trigonometry ratios on:

https://brainly.com/question/8120556

Answer:

C. 5x + 11 = 36

Step-by-step explanation:

You can see in the diagram that there are 5 x variables and eleven which make up the total diagram that says 36 so it would have to be 5x+11 = 36

Answer:

5x + 11 = 36

Step-by-step explanation:

Looking at the tape diagram, if you count the x, you have 5x and then you have 11. So it would refer to as 5x + 11 and the total of the tape diagram is 36. So it would be :-

5x + 11 = 36

Hope this helps, thank you :) !!

Answer:

the lions speed would be 24 mph

Answer:

200%

Step-by-step explanation:

Answer:

Area: 1920 ft²

Perimeter: 176 ft

Step-by-step explanation:

Formula of Area of a Rectangle => A = width × length

Area = 40 × 48

= 1920 ft²

Formula of Perimeter of a Rectangle => P = 2 (width + length)

Perimeter = 2 ( 40 + 48)

= 2 (88)

= 176 ft

Answer:

8.5

Step-by-step explanation:

This is a simple similar triangles problem

Since 15/7.5 = 2, we know that the ratio between the triangles is 2

This means that 17/x = 2, which means x = 8.5

Answer:

150

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

when x=1 y=3.9 when x=2 y=7.8 and so on

Answer:

y = -1/2

Step-by-step explanation:

5^3 = (5^-2)^y-1

3 = -2(y-1)

3 = -2y + 2

1 = -2y

y = -1/2

Answer:

Step-by-step explanation:

Take 8.

None of the equations work for 8.

Next, take 1.

None of the equations work for 1 either.

Third, take 15.

None of the equations work for 15 either.

Lastly, take 46.

The equations fit perfectly.

Hope that helps!