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3 years ago

What is the area of this parallelogram? A 10.35 cm2 B 12.5 cm2 C 20.25 cm2 D 30.6 cm2

Mathematics

2 answers:

sveta [45]3 years ago

6 0

The answer would be D.

Simora [160]3 years ago

3 0

Answer:

d 30.6 cm2

Step-by-step explanation:

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HELP!!! Please I need work shown I have no clue how to do this and I need a good answer please and thank you

zheka24 [161]

Factorize x²+7x+12 ===> (x+3)(x+4)

Factorize x²-3x-28 ===> (x-7)(x+4)

4x + 12 can be written====> 4(x+3)

Then the question could be written as follows:

[(x+3)(x+4) / (x-7)(x+4) ] / 4(x+3) = [(x+3)(x+4) / (x-7)(x+4) ].[4(x+30]
After simplification you get 1 / 4(x-7)

7 0

3 years ago

Find a such that the solution of y'' + y' − 2y = 0, y(0) = a, y' (0) = 1 tends to zero as t → +∞.

Kay [80]

Answer:

Step-by-step explanation:

$y'' + y' − 2y = 0, y(0) = a, y' (0) = 1$

Auxialary equation is

$m^2+m-2=0\\m=-2,1$

General solution is

$y=Ae^{-2x} +Be^x$

$y(0) = A+B =a$

$y'(0) = -2Ae^{2x} +Be^x = -2A+B = 1$

Eliminate B to get

3A =a-1

We know that y tends to 0 when x tends to infinity for any finite A

i.e. a should be a finite real number.

8 0

3 years ago

Tom earns 12$ a week mowing lawns he spends 1/4 of his earnings on lunch and 1/2 of his earnings on music. He saves the rest. Ho

densk [106]

Step-by-step explanation:

12$-(12$:4+12$:2)=12$-(3$+6$)=12$-9$=3$ Hope this helped!

4 0

2 years ago

So if you 12 centimeter cubes to build a rectangular prism, the prism has a volume of _______ cubic centimeters, or _______ cm

-Dominant- [34]

1728 cubic centimeters

12 with the exponent of 3 would basically be 12x12x12 but easier i put 12x12=144x12= which is 1728

cuz if its just 12x12 thats just the area of one side, if its 12x12x12 its the volume of the whole cube/rectangular prism

4 0

2 years ago

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati

Effectus [21]

Answer:

His jump was of 272.45 inches

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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 problem, we have that:

$\mu = 263, \sigma = 14$