All categories

3 years ago

Square ABCD has a diagonal of 8 inches long. How many square inches is the area of the shape?

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

4 0

Area A of a square with side length a: A = a².

Pythagoras theorem: a² + b² = c²

2*a² = 8²

A = 8²/2

You might be interested in

A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard dev

zimovet [89]

Answer:

$Z = 3.33$

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:

$\mu = 13, \sigma = 1.2$

You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.

We have to find Z when X = 17. So

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

$Z = \frac{17 - 13}{1.2}$

$Z = 3.33$

5 0

3 years ago

What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20

shutvik [7]

Given:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

Surface area of the triangular prism:

The surface area of the triangular prism can be determined using the formula,

$SA=bh+(s_1+s_2+s_3)H$

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

$SA=(42)(20)+(42+29+29)(16)$

$SA=840+(100)(16)$

$SA=840+1600$

$SA=2440$

Thus, the surface area of the triangular prism is 2440 m²

8 0

3 years ago

Evaluate 8.2+(3+0 —— 3

jenyasd209 [6]

Answer:

11.2

Step-by-step explanation:

well i'm guessing that you didn't finish you parenthesis and if you did they would be around the 0 and 3 so 3 plus 0 is 3 and 3 plus 8.2 is 11.2 so I believe your answer is 11.2. Sorry if it is wrong the question didn't really make sense.

Please mark brainliest

5 0

3 years ago

PLEASE HELP NEED ASAP

Mice21 [21]

Answer:

Side WZ=9

Step-by-step explanation:

Since he two are similar you need to make a ratio of the two parallelograms

The first tells you side FE is 2 and side EH is 3 so write it like this 2/3.

Next you need to do the same thing with the second parallelogram, so you know side XW is 6 but you don't know side WZ so you'd write this one 6/x.

You can do this since FE is similar to XW, because it is the same shape just bigger.

Next you take the two fractions adn set them equal to each other.

2 6

_ = _

3 x

Now cross multiply (2 timesx and 6 times 3)

It should look like this now

2x=18

Now all you have to do is divide by 2.

7 0

3 years ago

Read 2 more answers

57 is 13.5% of what number?

kondaur [170]

Let, the number = x
It would be: x * 0.135 = 57
x = 57 / 0.135
x = 422.23

Hope this helps!

6 0

3 years ago