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3 years ago

What is the length of the base?

Mathematics

2 answers:

goblinko [34]3 years ago

8 0

The length of the base is c

posledela3 years ago

6 0

Answer:

Step-by-step explanation:

So let's imagine that the base of the triangle is x, and since the height is 13 less, the height will be x-13. So since the formula for area is base*height/2, plug x(x-13)/2=24, which is the area, and solve. You would get x^2-13x=48, and bring the 48 to the other side to get x^2-13x-48=0. Through the quadratic formula, you would get x=16 and x=-3. Since -3 cannot be valid for a triangle, 16 is the answer.

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A person noted that the angle of elevation to the top of a tree was 65 degrees at a distance of 11 feet from the tree. Using the

sashaice [31]

Answer:

approximate 23.590 feet

Step-by-step explanation:

tan 65° = x / 11 = 2.145

x = 11 x 2.145 = 23.595

5 0

3 years ago

Read 2 more answers

Challenge Question Sally's bank account balance was $50 on Monday. On Tuesday, she bought a new pair of shoes for $45. On Thursd

Alex17521 [72]

Answer:

Step-by-step explanation:

After the shoe purchase, her balance was $50 -45 = $5.

After depositing her babysitting earnings, her balance was $5+25 = $30.

After buying pizza, her balance was $30 -42 = -$12.

<em>Assuming no overdraft charge</em>, her balance after depositing her earnings was ...

-$12 +20 = $8

Sally's balance on Sunday was $8.

7 0

2 years ago

A 0.40 kg bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy?

nalin [4]

Answer:

The correct answer is 12.8 J.

Step-by-step explanation:

To solve this problem, we must remember how to calculate the kinetic energy of an object.

The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object. If we plug in the given values into the formula, we get:

K = 1/2 * m * v^2

K = (1/2) * (0.40) * (8.0)^2

Our first step is to square the velocity. After doing this step, we get the following:

K = (1/2) * (0.40) * (64)

Finally, we can perform the multiplication, to get:

K = 12.8

The unit for kinetic energy is joules, so the correct answer is 12.8 J.

Hope this helps!

8 0

3 years ago

Read 2 more answers

The standard deviation of a probability distribution is a: A. measure of variability of the distribution B. measure of skewness

GuDViN [60]

Answer:

The standard deviation of a probability distribution is a measure of variability of the distribution.

Step-by-step explanation:

We have been given an incomplete statement. We are asked to complete the given statement.

We know that standard deviation is measure of variability or dispersion of a set of data values.

It tells up how much a data point is spread out from the average or mean of the data set.

Therefore, option A is the correct choice.

4 0

3 years ago

In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.2 minutes. A 95

Elina [12.6K]

Answer: Margin of error = 6.58

Confidence interval = (26.91, 40.08)

Step-by-step explanation:

Since we have given that

Sample size n = 8

Sample mean = 33.5 minutes

Population standard deviation = 9.5 minutes

At 95% confidence interval,

α = 0.05

t = 1.96

So, Margin of error is given by

$t\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{9.5}{\sqrt{8}}\\\\=6.58$

Confidence interval would be

Lower limit:

$\bar{x}-6.58\\\\=33.5-6.58\\\\=26.91$

Upper limit:

$\bar{x}+6.58\\\\=33.5+6.58\\\\=40.08$

Hence, the interval would be (26.91, 40.08)

But at standard deviation 7.2 minutes, the confidence interval was (27.5, 39.5)

Confidence interval using the standard normal distribution is wider than the confidence interval using t distribution.

3 0

3 years ago