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melamori03 [73]
3 years ago
8

Work out the area of this shape

Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Answer:

75.5

Step-by-step explanation:

First, the picture is not to scale.

The Area of the bottom (2) rectangle is 33

base x height = A

11 x 3 = 33      (where did I get 3? Total height of shape is 8. Trapezoid is 5)

                      (8-5 = 3)

Area of the trapezoid:

A = \frac{h (B_{1} + B_{2}) }{2}

  =  \frac{(5)(6 + 11)}{2}

  =  \frac{5(17)}{2}

  = \frac{85}{2}

  = 42.5

42.5 + 33 = 75.5

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3×-y=5,2×+y=5 pleaseplease ​
Tanya [424]

Answer:

x = 2

y = 1

Step-by-step explanation:

3x - y = 5..............(1)× 1

2x + y = 5...….......(2)× 1

3x - y = 5..............(3)

2x + y = 5.............(4)

Cancel y

3x + 2x = 5 + 5

5x = 10

Divide both sides by 5

x = 2

Substitute for the value of y

3x - y = 5

3(2) - y = 5

6 - y = 5

6 - 5 = y

1 = y

y = 1

6 0
3 years ago
Molly had 8 apples jim has 8 how many do they have all together
Norma-Jean [14]

Answer:

16

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which of the following is the interest on $6000 at 6% compounded semiannually for eight years?
ryzh [129]

Answer:

$3628.24

Step-by-step explanation:

we use the formula for accrued value (A) with compounded interest:

A=P(1+\frac{r}{n})^{n*t}

where A= accrued value (principal plus the accumulated  interest)

P = principal -> in our case $6000

r = annual interest rate (in decimal form) -> in our case 0.06

n = number of compoundings per year. In our case 2 (semiannually)

t = time in years -> in our case 8

A=P(1+\frac{r}{n})^{n*t}\\A = 6000(1+\frac{0.06}{2})^{16}\\ A= 6000(1+0.03)^{16}\\A = $9628.24

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:

$9628.24 - $6000 = $3628.24

4 0
3 years ago
A part-time house cleaner made $9258.13 last year. If he claimed himself as an exemption for $3650 and had a $5700 standard dedu
kari74 [83]

Once we sort through the tax terms, that's just

9258.13 - 3650 - 5700 = $ -91.87
A negative numbers mean the deduction and exemption sheltered all of his income, so he has $0 taxable income, choice D.


3 0
3 years ago
Read 2 more answers
Cory found a job listed in a classified that pays a yearly salary of $54,013. What is the biweekly
Anon25 [30]

Answer:

2077.42

Step-by-step explanation:

There are 52 weeks in a year, so there are 26 "biweekly" weeks in a year.

Cory receieves $54013 per year, so he gets 54013 / 26 dollars biweekly.

We can compute that number, getting 2077.42 dollars.

5 0
3 years ago
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