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2 years ago

What is the area of the trapezoid below?

Mathematics

1 answer:

Alexxandr [17]2 years ago

3 0

Answer:

50 in²

Step-by-step explanation:

→ Find the area of the square

5 × 5 = 25

→ Find the area of the triangle

( 0.5 × 5 × 5 ) = 12.5

→ Double the answer as there is 2 triangles

12.5 × 2 = 25

→ Add the areas together

25 + 25 = 50 in²

You might be interested in

Can somebody help me with the Math's questions on Pythagoras Theorem? Thanks

olga2289 [7]

Answer:

2.4 cans cost 47.4

If you cannot buy 2.4 cans, you must buy 3 cans, then you'll pay 59.25

Step-by-step explanation:

The lawn has trapezoidal shape, so find the area of the trapezoid using formula

$A=\text{Midline}\times \text{Height}$

In the diagram, ABED is rectangle, so BE = 12 m, thus ED = 20 m - 12 m = 8 m.

Consider right triangle EDC. By the Pythagorean theorem,

$ED^2+EC^2=CD^2\\ \\ED^2+8^2=17^2\\ \\ED^2=289-64\\ \\ED^2=225\\ \\ED=15\ m$

Thue,

Height = 15 m

Find the midline:

$\text{Midline}=\dfrac{AD+BC}{2}=\dfrac{12+20}{2}=16\ m$

Hence,

$A=16\cdot 15=240\ m^2$

One can cover $100\ m^2,$ to cover $240\ m^2$ is needed

$240:100=2.4$ cans

One can costs 19.75, so 2.4 cans cost

$19.75\cdot 2.4=47.4$

If you cannot buy 2.4 cans, you must buy 3 cans, then you'll pay

$19.75\cdot 3=59.25$

4 0

4 years ago

In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94°. Based on the information that is prov

ratelena [41]

Answer:

side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Step-by-step explanation:

The side opposite to biggest angle is the longest side

In ΔQRS,

∠S > ∠R > ∠Q

∠S is the biggest and ∠ Q is the smallest angle.

So, the side opposite to ∠S, QR is the longest side and the side opposite o ∠Q , RS is the smallest side.

QR > QS > RS

QR = 12.6 cm ; QS = 10 cm and RS = 7 cm

6 0

2 years ago

Hi. Please i need help with this question.

sertanlavr [38]

Answer:

3*3+1=10

4*4+5=21

Step-by-step explanation:

You square the number in the first box

3*3=9

4*4=16

And add the number in the second box with the result.

3*3=9+1=10

4*4=16+5=21

Hope this helps ;) ❤❤❤

6 0

3 years ago

Read 2 more answers

The distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4 inches. A random sample of 36 a

Licemer1 [7]

Answer:

$P(\bar X >70)= P(Z>\frac{70-69}{\frac{4}{\sqrt{36}}})= P(Z>1.5)$

And for this case we can use the complement rule and the normal standard distribution of excel and we got:

$P(Z>1.5)=1-P(Z,1.5) = 1-0.933=0.0668$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(69,4)$