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Aleksandr-060686 [28]
3 years ago
14

A triangle has base 15ft and area 60 ft^2. what is the height?​

Mathematics
1 answer:
shepuryov [24]3 years ago
5 0

Answer:

Height = 8ft

Step-by-step explanation:

Area of triangle = 60ft²

base of triangle = 15ft

area \: of \: triangle \:  =  \frac{1}{2} (base)(height) \\  \\ 60 =  \frac{1}{2} (15)(height) \\  \\  \frac{60 {ft}^{2}  \times 2}{15ft}  = height \\  \\ 8ft \:  = height

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Answer: after 5 months

Step-by-step explanation:

Let x be the number of months it takes for Dalia to have more gems than Grace.

We can set up an inequality; the left side representing Dalia and the right side representing Grace

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We can add 10x to both sides:

30x > 120

We can divide both sides by 30:

x > 4

Therefore, after 5 months Dalia will have more gems than Grace.

7 0
2 years ago
A Circuit has a 5000 V power supply(AC), A load resistance of 4 ohms and open switch how much Current will flow in a circuit as
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Answer:

1250 amps

Step-by-step explanation:

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8 0
3 years ago
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What
Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = <u><em>heights of 18-year-old men.</em></u>

So, X ~ Normal(\mu=68,\sigma^{2} =3^{2})

The z-score probability distribution for the normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean height = 68 inches

           \sigma = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

       P(X > 65 inches) = P( \frac{X-\mu}{\sigma} > \frac{65-68}{3} ) = P(Z > -1) = P(Z < 1)

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The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

6 0
3 years ago
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nexus9112 [7]

Answer:

A mathematical equation is an equation with zero or one variables (e.g., 9 = 6 + 3; 9 = x + 3), whereas an algebraic equation

Step-by-step explanation:

7 0
3 years ago
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The answer should be (-4,-4)


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