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3 years ago

If the diagonals of a rhombus are 10 and 24, find the area of the rhombus.

Mathematics

2 answers:

Ede4ka [16]3 years ago

4 0

In a rhombus, the diagonals meet at right-angles and also cut each other in two equal halves, like in the picture below.

now, notice the upper-right triangle on the side there, it has a height of 12 and a base of 5, and as you know the area of a triangle is 1/2 bh, so you'd know what the area of that one is.

well, there are 4 equal triangles with that much area, so sum them up, and that's the area of the rhombus.

lara [203]3 years ago

4 0

Answer:

120

Step-by-step explanation:

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Mary and Jane both took PSY230 last semester but they were in two different sections taught by different professors. Mary's clas

Greeley [361]

Answer:

Due to the higher z-score, Jane did better in class.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Whoever's grade had the better z-score did better in class.

Mary's:

Mean of 85, standard deviation of 5, grade of 88. This means that $\mu = 85, \sigma = 5, X = 88$ . So

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

$Z = \frac{88 - 85}{5}$

$Z = 0.6$

Jane's

Mean of 80, standard deviation of 10, grade of 88. This means that $\mu = 80, \sigma = 10, X = 88$ . So

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

$Z = \frac{88 - 80}{10}$

$Z = 0.8$

Due to the higher z-score, Jane did better in class.

4 0

3 years ago

The number of violent crimes committed in a day possesses a distribution with a mean of 2.3 crimes per day and a standard deviat

marusya05 [52]

Answer:

B) approximately normal with mean 2.3 and standard deviation 2

Step-by-step explanation:

Given the following :

Mean crimes per day = 2.3

Standard deviation = 2

Number of samples = 100

Sampling distribution of the mean:

According to the central limit theorem:

Sample mean = population mean

2.3 = 2.3

The standard deviation of the sample (s) : ratio of the population standard deviation and square root of the sample size.

s = population standard deviation / √sample size

s = 2 / √100

s = 2 / 10

s = 0.2

The central limit theorem also posits that once ths sample size is large enough, the sampling of the sample mean will be approximately normal.

Hence, the distribution is approximately normal, with mean of 2.3 and standard deviation of 0.2

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3 years ago

in a recent survey 15% of online shoppers in the united states say that they prefer to do business only with large well-known re

sveta [45]

The answer is 225
I got that by mulitplying .15 by 1500

3 0

3 years ago

Read 2 more answers

Solve on the interval [0,2pi): 2cscx+5=1

pantera1 [17]

$x\in[0,\ 2\pi)\\\\2\csc x+5=1\ \ \ \ |-5\\\\2\csc x=-4\ \ \ \ |:2\\\\\csc x=-2\\\\\dfrac{1}{\sin x}=-2\to\sin x=-\dfrac{1}{2}\to x=-\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{7\pi}{6}+2k\pi\\\\x\in[0,\ 2\pi)\to x=-\dfrac{\pi}{6}+2\pi=\dfrac{11\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\\\\Answer:\ \boxed{D.\ \dfrac{7\pi}{6},\ \dfrac{11\pi}{6}}}$

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3 years ago

Read 2 more answers

ABCD is a parallelogram. if side AB=6x-10, side BC=4x-5, and side CD =3x+5, find the value of x

serg [7]

Answer:

x=5

Step-by-step explanation:

If ABCD is a parallelogram, then AB = CD

AB=CD

6x-10 = 3x+5

Subtract 3x from each side

6x-3x -10 = 3x-3x+5

3x-10 = 5

Add 10 to each side

3x-10+10 = 5+10

3x = 15

Divide by 3 on each side

3x/3 =15/3

x=5

8 0

3 years ago