All categories

2 years ago

What is the area of this figure

Mathematics

1 answer:

Triss [41]2 years ago

3 0

When you find the area, you want to break it up into different parts. Therefore, one part would be a square and the other part can be a trapezoid. Start out with finding the area of a square by multiplying 6 and 6. This will get you 36. Then, subtract 6 from 21. This will get you, 15. Then use the area of a trapezoid formula, which is A=(a+b)/2 times H. The H is the heigh, the a and b are the top and bottom bases. So if you plug it into the equation, (7+15)/2 then multiply that by 6 ( which is the height). this will get you 66. If you add 66+36, it equals 102 which is the area

You might be interested in

Cable television company charge $20.50 per month last year for premium channels this year they are having a special and are char

QveST [7]

The answer is B. The cable company decrease the monthly charge by 20%

7 0

3 years ago

Brenda has $30. She gets $5 every time she takes out the trash. Which inequality can be used to find x, the number of times Bren

kobusy [5.1K]

Brenda has to take out the trash more than 4 times to have more than $50.

Step-by-step explanation:

Given,

Amount Brenda already have = $30

Amount she gets each time for throwing trash = $5

Amount she wants to have = More than $50

Let,

x be the number of times she throws trash.

Amount for throwing trash * Number of times trash thrown + Amount already have > Amount she wants to have

$5*x+30>50\\5x>50-30\\5x>20$

Dividing both sides by 5

$\frac{5x}{5}>\frac{20}{5}\\x>4$

Brenda has to take out the trash more than 4 times to have more than $50.

Keywords: variable, inequality

Learn more about variables at:

#LearnwithBrainly

4 0

3 years ago

Which expression is equivalent to x 2 - 17x - 60?

creativ13 [48]

Answer:

(x-20)(x+3)

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Multiply the trinomial x^2+xy+y^2 times the binomial x-y and simplify.

Natalija [7]

Multiply then simplify, that's doing the same work twice...anyway

x^3+x^2y+xy^2-x^2y-xy^2-y^3

x^3-y^3 which if factored is:

(x-y)(x^2+xy+y^2) which is what you started with :)

6 0

2 years ago

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0

2 years ago