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katrin [286]
3 years ago
5

The measures of the angles of a triangle are in the extended ratio of 3:7:10. What is the measure of the LARGEST angle?

Mathematics
1 answer:
Shkiper50 [21]3 years ago
7 0

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The ratio of the largest angle to the total is ...

  10/(3+7+10) = 10/20 = 1/2

The largest angle is half the total of all angles:

  1/2×180° = 90° . . . . measure of the largest angle

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Each of 5 friends has x action figures in
asambeis [7]

Answer:

13

Step-by-step explanation:

<em>Here, each of the 5 friends has an x action figure. When they buy 11 more we have 5(x+11). Now they have a total of 120 action collections and here we have 5(x+11)=120</em>

→5(x+11)=120\\\\

→5x+55=120\\

→5x=120-55

→5x=65

→x=65/5\\

→x=13

<em>Hence, each of the friends has 13 action collections originally.</em>

4 0
2 years ago
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Use the information in the table to find the constant rate<br> of change in dollars per hour
Debora [2.8K]

Answer:

It goes up $9 per hour

Step-by-step explanation:

5 0
3 years ago
Given a container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.What is the volume of water in liters
elena55 [62]

Answer:

382.3 liters

Step-by-step explanation:

We are told in the question that:

A container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.

This means:

Length = 4.50 ft

Width = 7.20 ft

Depth(Height) = 5.00 inches

We have to convert all of these to centimeters first. Then to liters

1 foot = 30.48 centimetres

1 inch = 2.54 centimetres

Length = 4.50 ft

1 foot = 30.48 centimetres

4.5 ft = 4.5 × 30.48

= 137.16 cm

Width = 7.20 ft

1 foot = 30.48 centimetres

7.20 ft = 7.20 × 30.48 cm

= 219.456cm

Depth(Height) = 5.00 inches

1 inch = 2.54 centimetres

5 inches = x cm

Cross Multiply

= 5 × 2.54 cm

= 12.7 cm

The volume of the water(cm³) = Length × Width × Depth

= (137.16 × 219.456 × 12.7)cm³

382277.428992 cm³

The volume of water in liters

1 cubic centimetre = 0.001 litre

382277.428992 cm³ = x

Cross Multiply

382277.428992 cm³ × 0.001 litre

= 382.2774289920001 liters

Approximately = 382.3 liters

7 0
3 years ago
Tyler runs 8 2/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles?
adelina 88 [10]

Answer:

It takes Tyler 65 minutes to run 10 miles.

Step-by-step explanation:

First you have to figure out what Tyler's mph is, so you divide 8  2/3 by 4/3=6.5. Then you multiply by 10 get how long it takes him to run 10 miles.

(hope this helps!)

7 0
3 years ago
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