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velikii [3]
3 years ago
13

Sarah cut off 1/8 of a 48 inch piece of ribbon.Jane cut off 1/9 of a 36 inch piece of ribbon. They compared thier cut pieces. Wh

o piece is longer? How much longer
Mathematics
1 answer:
prisoha [69]3 years ago
4 0
Sarah by 2 inches
48/8=6
-36/9=4
------------
2
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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
How would you put 0.1, 8/7, -1, 2/3, and 0.05 in least to greatest<br>​
tester [92]

Answer:

Step-by-step explanation:

-1  

0.1

.66

1.14

by the numbers it woud be

-1

0.1

2/3

8/7

7 0
3 years ago
PLEASE HELP!
Rasek [7]

Answer:

The percent markup is, \simeq 60.89 % .

Step-by-step explanation:

A pair of shoes cost $ 22.99 to make, the local store sells them for $ 36.99.

So, the increased value for each pair of shoes,

= $ (36.99 - 22.99)

=$ 14

So, the percent markup is,

\frac {14 \times 100}{22.99} %

\simeq 60.89 %

7 0
3 years ago
PLEASE HELP ASAP! 10 POINTS!!
likoan [24]

Answer:

3 tee shirts and 2 dresshirts

Step-by-step explanation:


3 0
3 years ago
5000 people attend 1 movie each in one week. Regular show ticket is $9.50 and matinee tickets are $7. The total amount spent was
yuradex [85]

Answer:

1400

Step-by-step explanation:

Given: Cost of Regular ticket = $9.50

          Cost of Matinee tickets= $7

          Total number of people= 5000

          Total spending in watching movie= $44000.

Lets assume total number of people attended matinee be "x".

∴ Number of people attended Regualr show= (5000-x)

We know, total cost= Price\ of\ each\ ticket \times number\ of\ people

Now, forming an equation to show total spending on tickets.

⇒ \$ 9.50(5000-x)+ \$ 7x= \$ 44000

Using distributive property of multiplication to multiply 9.50 with 5000 and -x.

⇒ 47500-9.50x+7x= 44000

⇒ 47500-2.5x= 44000

Adding both side by 2.5x

⇒ 47500 = 44000 + 2.5x

subtracting both side by 44000

⇒ 3500= 2.5x

Dividing both side by 2.5

⇒x= \frac{3500}{2.5}

∴x= 1400

Hence, number of people attended the matinee show are 1400.

7 0
3 years ago
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