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3 years ago

A parallelogram has a base of 7 meters and a height of 10 meters. What is the area of the parallelogram in square meters?

Mathematics

1 answer:

3241004551 [841]3 years ago

4 0

Step-by-step explanation:

Area of a parallelogram = H * B

Where ;H = height and B = 7

From the question our height = 10m and base = 7m

<h3>placing in formula</h3>

H * B

= 10m * 7m

=70m²

Therefore the area of the parallelogram is 70m²

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The area of tapazuim is 400 cm 2 the distance between the parallel sides is 16 cm.if one of the parralel sides is 20 cm,find the

german

the other parallel side is 30 cm

Step-by-step explanation:

here's the solution :-

let the other parallel side be x

now,

=》Area of trapezium =

$\frac{1}{2} \times sum \: of \: parallel \: sides \times height =》[tex] \frac{1}{2} \times (x + 20) \times 16 = 400$

=》( x + 20 ) × 8 = 400

=》x + 20 = 400 ÷ 8

=》x = 50 - 20

=》x = 30

so length of other parallel side = x = 30 cm

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3 years ago

If f(x) = 3x^2-10x+2 find the vertex of y=f(x+4)-5

allochka39001 [22]

$3 {(4 + x)}^{2} - 10(x + 4) + 2 - 5$
so
$3( {x}^{2} + 8x + 16) - 10x - 40 + 3$
so
$3 {x}^{2} + 14x + 11$
take differential calculus
$6x + 14 = 0$
you will find x then y

3 0

4 years ago

A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed f

Olin [163]

Answer:

$\chi^2 = \frac{(26-33.33)^2}{33.33}+\frac{(32-33.33)^2}{33.33}+\frac{(44-33.33)^2}{33.33}+\frac{(37-33.33)^2}{33.33}+\frac{(27-33.33)^2}{33.33}+\frac{(34-33.33)^2}{33.33}=6.7$

Now we can calculate the degrees of freedom for the statistic given by:

$df=6-1=5$

And we can calculate the p value given by:

$p_v = P(\chi^2_{5} >6.7)=0.244$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we can conclude that the outcomes are equally likely

Step-by-step explanation:

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference in the frequencies

H1: There is a difference in the frequencies

The level of significance assumed for this case is $\alpha=0.01$

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

The observed values are:

Value 1 2 3 4 5 6

Frequency 26 32 44 37 27 34

And the expected values are for this case the same $E_i = \frac{200}{6}= 33.33$

And now we can calculate the statistic:

$\chi^2 = \frac{(26-33.33)^2}{33.33}+\frac{(32-33.33)^2}{33.33}+\frac{(44-33.33)^2}{33.33}+\frac{(37-33.33)^2}{33.33}+\frac{(27-33.33)^2}{33.33}+\frac{(34-33.33)^2}{33.33}=6.7$

Now we can calculate the degrees of freedom for the statistic given by:

$df=6-1=5$

And we can calculate the p value given by:

$p_v = P(\chi^2_{5} >6.7)=0.244$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we can conclude that the outcomes are equally likely

7 0

4 years ago

Questions on attached photo.<br>

Vinil7 [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

I need to know the answer please help me

spin [16.1K]

First is 42 and the second is 4.5

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2 years ago

A parallelogram has a base of 7 meters and a height of 10 meters. What is the area of the parallelogram in square meters?​

A parallelogram has a base of 7 meters and a height of 10 meters. What is the area of the parallelogram in square meters?