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gregori [183]
3 years ago
7

a piece of wire 17m long stretched from the top a flagpole to point p on the ground if p is8m from the pole how tall is the pole

​
Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

17^2=8^2+h^2

h^2=17^2-8^2

h^2=289-64

h^2=225

h=15 meters

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In the following figure, m AC = 64° and m BD = 130°. What is measure AEB?
Salsk061 [2.6K]

Answer: 32°

Step-by-step explanation: see photo

6 0
3 years ago
0.45 plus 9x equals 27
oee [108]

Answer:

x = 2.95

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

0.45 plus 9x equals 27

0.45 + 9x = 27

<u>Step 2:  Solve for x</u>

0.45 + 9x - 0.45 = 27 - 0.45

9x / 9 = 26.55 / 9

x = 2.95

Answer:  x = 2.95

7 0
3 years ago
Read 2 more answers
A point moves in the plane in the following sequence.
dem82 [27]

Answer:

D

Step-by-step explanation:

The answer is point D(-2,1).

1. If the point D was moved down 2 units, then its coordinates became (-2,-1).

2. If point (-2,-1) was reflected over the x-axis, then its coordinates became (-2,1).

3. If the point (-2,1) was moved 4 units to the right, then its coordinates became (2,1).

4. If point (2,1) was reflected over y-axis, its coordinates became (-2,1).

4 0
3 years ago
What percent of 12.4 is 12.4
NARA [144]
To find a percentage divide the first number by the second.

\frac{12.4}{12.4}=\frac{1}{1}=1.00

Now that you have your number, move the decimal point over 2 to the right and add your percentage sign.

100.00%

Your answer is 100%
3 0
3 years ago
Read 2 more answers
Suppose you need to get the dent in your car fixed. You see the ads in the newspaper above (mikes repair shop $100 service charg
Norma-Jean [14]

Answer:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295, so I will take the car to Amy's shop</em>

<em>Point of intersection: (x,y) = (4,360)</em>

Explanation:

Part 1 )

Let x = number of hours worked

Let y = total cost to you

Determining where to take the car:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295</em>

Mike's repair shop:

Service fee: $100

Per hour rate: $65

Let x is the number of hours worked on. Total cost will be equal to the service fee plus hourly charges. Charges per an hour are $65, so for x hours the charges will be 65x.

Therefore, total cost for Amy's repair shop can be written as:

y = 100 + 65x ------(1)

For 3 hours work: y = 100 + 65(3)

<em>Cost at Mike's, y = $100 + $195 = $295</em>


<em>Amy's repair shop: </em>

Service fee: $40

Per hour rate: $80

Charges per an hour are $40, so for x hours the charges will be 80x.

Therefore, total cost for Amy's repair shop can be written as:

y = 40 + 80x ------(2)

For 3 hours work: x = 3

y = 40 + 80(3)

<em>Cost at Amy's, y  = $40 + $240 = $280</em>


<em>Part 2)</em>

<em>Find the point of intersection</em>

<em>Using elimination method:</em>

<em>y = 100 + 65 x    ------1</em>

<em>y = 40 + 80x      ------2</em>

<em>As the y coefficients are equal we will subtract eq1 from eq2</em>

<em>y - y = 40 + 80x - 100 - 65x</em>

<em>0 = -60 + 15x</em>

60 = 15x

x = \frac{60}{4}

x = 4

put x = 4 in eq 1

we get y = 100 + 65 (4) = 100 + 260 = 360

x = 4, y = 360

Point of intersection: (x,y) = (4,360)



8 0
3 years ago
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