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vodka [1.7K]
2 years ago
10

Three cities form a triangle. Tom measures the distances between the three cities on a map. The distances between the three citi

es are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle?
Mathematics
1 answer:
icang [17]2 years ago
3 0

Answer:

Nope. Does not satisfy pythagoras theorem

Step-by-step explanation:

72 squared does nit equal 45 squared plus 56 squared

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3. Which expression is equivalent to log532?
saul85 [17]

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

log (P / Q) = log P – log Q

(c) The logarithm of a number P raised to power Q is Q.logP

log[PQ] = Q.logP

Step-by-step explanation:

8 0
2 years ago
The model of a circular garden is 8 inches in diameter. The actual garden will be 20 feet in diameter. Find the scale of the mod
8_murik_8 [283]

Answer:

1/30 of a scale.

Step-by-step explanation:

Multiply the 20 by 12 to convert it to inches.  Then divide the answer by 8 to get the scale.

3 0
3 years ago
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
2 years ago
A triangular prism has a volume of 832m3. The area of the base is 64m2. What is the height of the prism?
dolphi86 [110]

Answer:

13 m

Step-by-step explanation:

volume=1/2(b×h)×length/height

height =volume÷base area(1/2b×h)

832÷64=13m

6 0
2 years ago
What is the answer to this?
NARA [144]

Answer:

See work for 3 answers

Step-by-step explanation:

You can add the exponents

(-8)^{12}

also could be stated as

(8)^{12}

numerical value

6.87194767 × 10^{10}

5 0
3 years ago
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