Amy is standing 70 meters from the base of the Washington Monument in Washington, DC. She estimates that the angle of
elevation to the top of the building is 60°. One of her friends is at the top of the building. What is the distance between Amy and
her friend? (Assume the monument meets the ground at a right angle.)

Answer:

hopes this helps.

Step-by-step explanation:

Hey there!

2(5x + 3) - 2(2x - 3)

DISTRIBUTE

= 2(5x) + 2(3) - 2(2x) - 2(-3)

= 10x + 6 - 4x - 6

COMBINE the LIKE TERMS

= (10x - 4x) + (6 + 6)

= 10x - 4x + 6 + 6

= 6x + 12

Therefore, your answer is: 6x + 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

(0, 4 )

Step-by-step explanation:

5x + 2y = 8 → (1)

- 4x + 10y = 40 → (2)

multiplying (1) by - 5 and adding to (2) will eliminate y

- 25x - 10y = - 40 → (3)

add (2) and (3) term by term to eliminate y

- 29x = 0 , then

x = 0

substitute x = 0 into (1) and solve for y

5(0) + 2y = 8

0 + 2y = 8

2y = 8 ( divide both sides by 2 )

y = 4

solution is (0, 4 )

Step-by-step explanation:

well, I see one large rectangle (20×6), and 2 small triangles with their horizontal sides being (20-8-6)/2 = 3 m. and their vertical joined side being 10-6 = 4 m.

the total area is simply the sum of the rectangle and the 2 triangles.

the rectangle is

20×6 = 120 m²

each triangle is

4×3/2 = 2×3 = 6 m²

we have 2 of them, so their combined area is 2×6 = 12 m².

the total area is

120 + 12 = 132 m²

Answer:

radius r = 12 m

height h = 5 m

slant height s = 13 m

volume V = 753.982237 m ³

lateral surface area L = 490.088454 m²

base surface area B = 452.389342 m²

total surface area A = 942.477796 m²

The total surface area of cone is 942 cm².

Total surface area is the sum of the area of the circular base and the area of the curved part of the cone.

The total surface area of a cone is the sum of the area of the base and the lateral area:

  SA = πr² + πrl

where, r is radius

           l is slant height

Now, for finding the slant height of the given cone is

         l² = r² + h²

         l² = 12² + 5²

         l² = 144 + 25

        l² = 169

        l = 13 cm

Now, SA = π X 12² + π X 12 X 13

              = 144π + 156π

              = 300π

              = 300 X 3.14

              = 942 cm²

Thus, the total surface area of cone is 942 cm².

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#SPJ2

Answer:

90 boxes

Step-by-step explanation:

you will have to divide the total amount you have by the groups they will go into. in this case it is 5400/60 = 90

Answer:

44

Step-by-step explanation:

60 × 5 or 300

or

52 × 5 or 260

24

50

× 100 or 0.48 × 100

or 48

348 implies

60 × 5 +

24

50

× 100 – 52 × 5

or

300 + 48 – 260 or 88

Answer:

81

Step-by-step explanation:

Geometric sequence formula:  [tex]a_n=ar^{n-1}[/tex]

Given:

Find common ratio (r):

[tex]\begin{aligned}\implies \dfrac{a_{28}}{a_{23}} =\dfrac{ar^{27}}{ar^{22}} & =\dfrac{24}{16}\\ \implies r^5 & =\dfrac32\\ \implies r & = \sqrt[5]{\frac32} \end{aligned}[/tex]

Find initial term (a):

[tex]\implies ar^{22}=16[/tex]

[tex]\implies a(\sqrt[5]{\frac32} )^{22}=16[/tex]

[tex]\implies a(\frac32} )^{\frac{22}{5}}=16[/tex]

[tex]\implies a=\dfrac{16}{(\frac32)^{\frac{22}{5}}}[/tex]

Find the 43rd term:

[tex]\implies a_{43}=ar^{42}[/tex]

[tex]\implies a_{43}= \left(\dfrac{16}{(\frac32)^{\frac{22}{5}}}\right)(\sqrt[5]{\frac32} )^{42}[/tex]

[tex]\implies a_{43}=16 \cdot (\frac32)^{-\frac{22}{5}} \cdot (\frac32)^{\frac{42}{5}}[/tex]

[tex]\implies a_{43}=16 \cdot (\frac32)^4[/tex]

[tex]\implies a_{43}=16 \cdot \left(\dfrac{3^4}{2^4}\right)[/tex]

[tex]\implies a_{43}=16 \cdot \left(\dfrac{81}{16}\right)[/tex]

[tex]\implies a_{43}=81[/tex]

Answer: s=9.95

Step-by-step explanation:

1 + 0.58 = 1.58

7 + 4.53= 11.53

11.53 - 1.58 = 9.95

So, s is 9.95

Answer:

the answer is option C

Step-by-step explanation:

45/4 = 45 divided by 4 = 11.25

-8 times 11.25 gives you -90

Answer: the answer is choice c . 45 divided by 4 = 11.25 .
negative 8 times 11.25 gives you negative 90 .

Step-by-step explanation: HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

The probability that Aiko drives without seeing a red light is the likelihood of not seeing the red light

The odds against Aiko driving to work without seeing a red light is 7 : 1

The probability of not having to stop at a red light is given as:

P(Not Stop) = 0.125

The probability that he would stop at a traffic light is calculated using:

P(Stop) = 1  - 0.125

Evaluate

P(Stop) = 0.875

The odds against Aiko driving to work without seeing a red light is calculated using:

Odd = P(Stop) : P(Not stop)

So, we have:

Odd = 0.875 : 0.125

Simplify

Odd = 7 : 1

Hence, the odds against Aiko driving to work without seeing a red light is 7 : 1

Read more about probability at:

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Answer:

Part A: 4.5 cups

Part B: 3

Step-by-step explanation:

Part A:

We will have to find how many muffins he will make first if he uses all 7 cups.

# of muffins = 7/(2 + 1/3) = 3

Cups of sugar = 3 * (1 +1/2) = 4.5 cups

Part B:

We solved this in Part A

The number of muffins is 3

By solving a system of equations we will see that the charge on the first city was $5,000, and on the second city, $4,000.

Let's define the variables:

We know that:

C₂ = C₁ - $1000

And we also know that the total tax is $455, then we can write:

0.035*C₁ + 0.07*C₂ = $455

(this says that the total tax is $455)

So we have a system of equations:

C₂ = C₁ - $1000

0.035*C₁ + 0.07*C₂ = $455

We can replace the first one into the second to get:

0.035*C₁ + 0.07*(C₁ - $1000) = $455

0.105*C₁ - $70 = $455

C₁ = ($455 + $70)/0.105 = $5,000

And:

C₂ = C₁ - $1000 = $5,000 - $1,000 = $4,000

The charge in the first city is $5,000 and in the second city was $4,000.

If you want to learn more about systems of equations, you can read:

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Answer:

Since the vertex is the tallest or shortest point on the graph, the vertex would be 8 since 8 is the tallest point. So it would be B. 8

Step-by-step explanation:

Answer:

48°

Step-by-step explanation:

Answer:

x = 4, y = 2

Step-by-step explanation:

y = 6 - x

y = x - 2

Substitute the value for y in the first equation into the second.

So we get:

6 - x = x - 2

-x - x = -2 -6

-2x = -8

x = 4

Plug this into second equation:

y = 4 - 2 = 2.

Check these results in equation 1:

y = 6 - x

2 = 6 - 4 = 2

- so correct.

Answer:

474 m²

Step-by-step explanation:

Surface area of a rectangular prism:

SA = 2(lw + lh + hw)

Given:

⇒ SA = 2(7 · 6 + 7 · 15 + 15 · 6)

         = 2(42 + 105 + 90)

         = 2(237)

         = 474 m²

Answer:

474 Sq m

Step-by-step explanation:

You have two sides that are 7m x 6m

(7*6)*2 = 84

You have two sides that are 15m x 6m
(15*6)*2 = 180

You have two sides that are 15m x 7m

(15*7)*2 = 210

84+180+210=474

Answer: (0, 9) or x = 0, y = 9

Step-by-step explanation:

     The solution is the point of intersection.

Here, the lines intersect at the point (0, 9) in the format of (x, y) so we can pull out the answers x = 0 and y = 9.

Answer:

(0, 9)

Step-by-step explanation:

Doing the exact same steps for the other line...

The probability that the next customer that comes into Daniel's business will pay with a credit card is 23 / 87.

Probability determines how likely it is that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next customer will pay with a credit card = number of people who paid with a credit card / total number of customers

23 / (23 + 60 + 4)

23 / 87

To learn more about probability, please check: https://brainly.com/question/13234031

Answer:

The scores from Mrs. Rijo’s class are the closest to the class mean.

Step-by-step explanation:

Jus took the test

Answer:The scores from Mrs. Rijo’s class are the closest to the class mean.

Step-by-step explanation:

B

Answer:

transformation down 4, transformation right 1

Step-by-step explanation:

Answer:

Four down, 1 right so [tex](x+1,y-4)[/tex]

Step-by-step explanation:

Hope this helps! Have a good day! :)

Answer: The orientation of the vertices was changed.

(x, y) ---> (x + 8, y - 3)

Step-by-step explanation: The triangle translation isn't on quadrant II, it's on quadrant I, so that answer choice isn't correct.  The triangle ABC translated 8 units right and 3 units down, not 8 units left and 3 units up.  Whenever you dilate, translate, rotate, or reflect triangles like ABC, the next triangle becomes A'B'C because it shows you that it's a transformation of the original triangle.  The orientation of the figure didn't change, because it didn't change shape, rotation, or size, so the orientation wasn't affected at all, just the vertices.  

The transformation is (x, y) ---> (x + 8, y - 3), because think of it like this.  I already said that the triangle translated 8 units to the right, which means that the triangle is translating 8 units in the positive direction to the right.  The triangle going 3 units down is in the negative direction, and that's why it's (x, y) ---> (x + 8, y -3).

Let me know if this is right! :)

Answer:

57000

Step-by-step explanation:

56709 = 50000 + 6000 + 700 + 9

6709 is closer to 7000 that 6000

The answer is 57000

Hope this helps :)

Have a nice day!

Answer:

1

Step-by-step explanation:

[tex](3^{0} )^{-3} =1^{-3} =\frac{1}{1^3} =1[/tex]

Anything to the power of 0 = 1

Negative exponents = inverse

Hope this helps!

Answer:

it would be 3

Step-by-step explanation:

you have to add both fracitons and you would add 3/4+1/4 and you would get 4/4 and that becomes a whole number thin you would add 2 and 1 and you would git 3 thats how i got the answer hope this helps if not please let me know

Answer:

I think the other person is correct and her answer is good

Step-by-step explanation:

The total remaining bank balance in the account of Omar after reducing all the debit and adding the paycheck is $761.25.

The money which is paid from an account is called the debit amount and the money which is paid into an account is called the credit amount.

To know the remaining balance of the account, all the debit amount is subtracted from it and all the credit amount is added to it.

The data given in the table is,

Pharmacy       - $15.20-Debited

Rent                - $425.00-Debited

Dinner             - $22.30-Debited

Movie Ticket  - $26.70-Debited

Pay Check     - $1015.50-Credited

Initial Balance- $219.80

The initial balance is $219.80, and a paycheck of $1015.50 is credited to his account. Thus, the total balance in his account without any debit is,

[tex]\rm A_i=1015.50+219.80\\\\A_i=1253.30[/tex]

The total amount debited from their account of Omar is,

[tex]\rm A_d=15.20+425+22.30+26.70\\\\A_d=474.05[/tex]

Thus, the total remaining amount in his account is,

[tex]\rm A= 1253.3-474.05\\\\A=761.25[/tex]

Hence, the total remaining bank balance in the account of Omar after reducing all the debit and adding the paycheck is $761.25.

Learn more about the debit and credit amounts here;

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Answer:

According to the table, what is Omar’s bank balance?

$761.25