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Mashutka [201]
4 years ago
8

The new roller skating rink that opened in town had a loss of $500 the first month and a profit of $123 the second month. What w

as the total loss for the two months?
A. $377
B. -$377
C. -$623
D. $623
Mathematics
1 answer:
Sonbull [250]4 years ago
7 0

Answer:

B) - $377

Step-by-step explanation:

Loss for the first month = -$500

Profit for the second month = + $123

Total loss for two months  = -$500 + $ 123

= - $377

Hint: if two numbers have different signs, then subtract and put the sign of bigger number.

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

3 0
3 years ago
Which expression is equivalent to (2x + 7x*) - (5x² - 4x)?
Westkost [7]

Answer:

5x^2 + 13x

Step-by-step explanation:

3 0
3 years ago
What is the area of this compound shape?!
iris [78.8K]
So you would start with the square and do 18 times 18 which equals 324 then for the triangle it's base times height divided by two so 9 times 18 divided by 2 which equals 81 then you add the triangle plus the square and your final answer is

answer:405
8 0
3 years ago
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What is the value of x? Please answer details are below
nydimaria [60]

Answer:

54

Step-by-step explanation:

Angles in a triangle add to 180° and we can see a right angle so

x = 180 - ( 90 + 36 )

x = 180 - 126

x = 54

4 0
4 years ago
On the right side, give a reason to justify each step made on the left
cestrela7 [59]

Given that: step 1

3x+12=8x-18

step 2: subtract 3x both side

\begin{gathered} 3x+12-3x=8x-3x-18 \\ 12=5x-18 \end{gathered}

Step 3: Add 18 both side:

\begin{gathered} 12+18=5x-18+18 \\ 30=5x \end{gathered}

Step 4: divide both side by 5

\begin{gathered} \frac{30}{5}=\frac{5x}{5} \\ 6=x \end{gathered}

Step:6 The value of x is:

x=6

8 0
1 year ago
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