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Ierofanga [76]
3 years ago
9

Two sides of a triangle have length 10 and 17. What is the range of the length of the 3rd side

Mathematics
1 answer:
andriy [413]3 years ago
7 0

Answer:

13.7477270849 to 19.7230829233.

Step-by-step explanation:

1. Using the pythagorean theorem, a²+b²=c², we try different combinations of given lengths 10 and 17.

2. If 10 and 17 are legs and 10²+17²=√389 = 19.7230829233, then c=19.7230829233.

3. If 10 is a leg and 17 is a hypotenuse,

10²+b²=17²

100+b²=289

b²=189

b=13.7477270849

4. The case of 17 is a leg and 10 is a hypotenuse is not possible because the hypotenuse is the longest side.

5. The range of the length of the 3rd side is 13.7477270849 to 19.7230829233.

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A family uses 1,303 kWh of electric energy in a month. If the power company charges $0.08 per kilowatt hour, what is the total e
prisoha [69]

The total electric energy bill for the month is \$104.24

<u>Solution: </u>

Given that

Electric energy consumed by family in a month = 1303 kWh

Power Company charges \$0.08 per kilowatt hour

Need to calculate total electric energy bill for the month.

Price of 1 kilowatt hour = \$0.08

\text { Price of } 1303 \text { kilowatt hour }=1303 \text { x Price of } 1 \text { kilowatt hour }=1303 \times 0.08=\$ 104.24

Total electric energy bill for the month = Price of Electric energy consumed by family in a month = Price of 1303 kilowatt hour = \$104.24

5 0
3 years ago
The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu
amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0
3 years ago
50 points!!! Basic math!
tangare [24]

Formula for the area of the triangle:

1/2 bh

b = base

h = height

#6.

Area = 36 in²

Base = 18 in

36 = 1/2(18)h

36 = 9h

36 ÷ 9 = h

4 = h

height = 4 in

#7.

Area = 2 ft²

Height = 1 ft

2 = 1/2 b (1)

2 = 1/2 b

2 ÷ 1/2 = b

4 = b

Base = 4 ft

#8.

Area = 42 in²

Base = 12 in

42 = 1/2 (12) h

42 = 6h

42 ÷ 6 = h

7 = h

Height = 7 in

Notice that the answers have no exponents (²). That is because they are used only on the area of shapes as units.

Since you find the area by multiplying things together, for example x · x = x², the exponent is there.

You do not need to worry about this being in the calculation. This will just be in units such as:

cm²

ft²

in²

m²

Just remember to use these exponents in the units for the areas.

7 0
3 years ago
Read 2 more answers
To convert Celsius temperatures to Fahrenheit, you can use the expression (C + 32). Tom says that another way to write this expr
Alexxandr [17]

Answer:

C) Tom did not distribute to both terms in parentheses.

Step-by-step explanation:

Addition within a paranthesis has a distributive property to the multiplier outside the paranthesis. Ignoring this will lead to a wrong value for the operation.

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3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Aakash has a fever.
Anna11 [10]

Answer:

<h3>102.6°F.</h3>

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Temperature in the evening = 102.6°F.

Hence his body temperature in the evening is 102.6°F.

5 0
3 years ago
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