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I am Lyosha [343]
4 years ago
9

The difference between two positive numbers is 7 and the square of their sum is 225.fin the two numbers.

Mathematics
1 answer:
katen-ka-za [31]4 years ago
8 0

Answer:

102 and 109

Step-by-step explanation:

create an equation to solve:

(x-7) + x = 225

2x -7 = 225

<u> +7 +7</u><u> </u><u> </u> add 7 to both sides

<u>2x</u> = <u>218</u>

2 2 divide both sides by 2

x = 109

<u>109 is the first number</u>

then you solve for the other number

x-7= ?

109 - 7 = 102

<u>102 is the 2nd number</u>

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3 years ago
There is a 0.9989 probability that a randomly selected 32 year old male lives through the year. A life insurance company charges
densk [106]

Answer:

$53.83

Step-by-step explanation:

The question is <em>"What is the expected value for the insurance company?"</em>

<em />

The expected value is the sum of the product of each possibility and its probability.

Thus, we have:

The probability of living is 0.9989 and its value is 153

THe probability of dying is (1-0.9989=0.0011) and its value is -90,000

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4 years ago
Calculate the discount percent on an article which cost ¢60,000 but was reduced to ¢45,00​
belka [17]

Answer:

Assuming you mean from $60 to $45, that would be 25%.

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We can use the simple formula: \frac{NEW-OLD}{OLD} *100

In this case: \frac{45-60}{60} *100 = -25

Which means there is a 25% discount.

5 0
3 years ago
A campsite is 12.88 miles from a point directly below Mt. Adams. If the angle of elevation is 15.5° from the camp to the top of
nata0808 [166]

Answer:

3.57 miles

Step-by-step explanation:

Please consider the attachment.

We have been given that a campsite is 12.88 miles from a point directly below Mt. Adams. The angle of elevation is 15.5° from the camp to the top of the mountain. We are asked to find the height of the mountain.

We can see from the attachment that h is opposite side to angle 15.5 degrees and 12.88 miles in adjacent side.

We know that tangent relates opposite side of right triangle with its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(15.5^{\circ})=\frac{h}{12.88}

\text{tan}(15.5^{\circ})\cdot(12.88)=\frac{h}{12.88}\cdot(12.88)

12.88\cdot\text{tan}(15.5^{\circ})=h

h=12.88\cdot\text{tan}(15.5^{\circ})

h=12.88\cdot(0.27732454406)

h=3.5719401274928

h\approx 3.57

Therefore, the mountain is approximately 3.57 miles high.

4 0
3 years ago
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