All categories

3 years ago

What is the distance around a triangle that has sides measuring 2 1/8 feet, 3 1/2 feet, and 2 1/2 feet?

1 answer:

7 0

The distance around the triangle is the perimeter of the triangle.
It is
$2 \, \frac{1}{8} + 3 \, \frac{1}{2} + 2 \, \frac{1}{2} \\ = 2+3+2+ \frac{1}{8} + \frac{1}{2} + \frac{1}{2} \\ = 7 + \frac{1}{8} + 1 \\ = 8 \, \frac{1}{8}$

Answer: $8 \, \frac{1}{8} \, feet$

You might be interested in

Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enoug

borishaifa [10]

The true option about the randomized design is (c) Betty should prepare all 60 cookies.

Each cookie will receive a number.

The numbers will be written on slips of paper, put into a hat, and shuffled well.

The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.

The given parameters are:

n=60

batches=4

cookies=15 ---- the number of cookies in each batch

Temperature=300,325,350,375.

To randomly assign the cookies to the given temperatures, all cookies have to be subjected to the same conditions (except for the difference in the temperature).

<h3>What is the temperature?</h3>

Normal human body temperature is the typical temperature range found in humans. The normal human body temperature range is typically stated as 36.5–37 °C. Human body temperature varies.

This means that she can bake all the cookies at once at different temperatures while noting down the cookies with a given number.

Hence, the true option is (c)

Read more about randomization at:

brainly.com/question/20046524

#SPJ1

6 0

2 years ago

Find all solutions to the equation in the interval [0,2pi). Enter the solutions in increasing order. Cos 2x = cos x

goblinko [34]

Step-by-step explanation:

$\cos(2x) = \cos(x)$

$\cos {}^{2} (x) - \sin {}^{2} (x) = \cos(x)$

$\cos {}^{2} (x) - (1 - \cos {}^{2} (x) ) = \cos(x)$

$2 \cos {}^{2} (x) - 1 = \cos(x)$

$2 \cos {}^{2} (x) - \cos(x) - 1 = 0$

$2 \cos {}^{2} (x) - 2 \cos(x) + \cos(x) - 1 = 0$

$2 \cos(x) ( \cos(x) - 1) + 1( \cos(x) + 1)$

$(2 \cos(x) + 1)( \cos(x) - 1) = 0$

$2 \cos(x) + 1 = 0$

$2 \cos(x) = - 1$

$\cos(x) = - \frac{1}{2}$

$x = \frac{2\pi}{3} ,x = \frac{4\pi}{3}$

$\cos(x) - 1 = 0$

$\cos(x) = 1$

$x = 0$

So our answer are

$0, \frac{2\pi}{3} , \frac{4\pi}{3}$

4 0

2 years ago

In a 30-60-90 triangle, the length of the long leg is 8. Find the length of the hypotenuse.

fiasKO [112]

Answer:

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are <em>1-√3-2</em>.

If the long leg is 8, then the short one is 8/√3, or <em>8√3/3</em>.

Therefore, the hypotenuse, which is <em>double the short leg</em>, is 16√3/3.

5 0

4 years ago

PLEASE ASAP!!

Yuki888 [10]

Y = mx + b

m = slope = rise/run = 1/1 = 1

b = y -intecept = where the line and line-y meet (0,2) = 2

y = 1x + 2 <-answer

y = x + 2

7 0

3 years ago

Mopeds (small motorcycles with an engine capacity below 50 cm^3) are very popular in Europe because of their mobility, ease of o

KonstantinChe [14]

Answer:

a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h

b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h

c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean value 46.8 km/h and standard deviation 1.75 km/h.

This means that $\mu = 46.8, \sigma = 1.75$

a. What is the probability that maximum speed is at most 49 km/h?

This is the pvalue of Z when X = 49. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{49 - 46.8}{1.75}$

$Z = 1.26$

$Z = 1.26$ has a pvalue of 0.8962

1 - 0.8962 = 0.1038

0.1038 = 10.38% probability that maximum speed is at most 49 km/h.

b. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{48 - 46.8}{1.75}$

$Z = 0.69$

$Z = 0.69$ has a pvalue of 0.7549

1 - 0.7549 = 0.2451

0.2451 = 24.51% probability that maximum speed is at least 48 km/h.

c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?

Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5

Z = 2.5 has a pvalue of 0.9938

Z = -2.5 has a pvalue of 0.0062

0.9938 - 0.0062 = 0.9876

0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

7 0

3 years ago