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Alina [70]
3 years ago
5

Find the area of the figure.

Mathematics
1 answer:
Contact [7]3 years ago
7 0

area of rectangle= 8*13=104m^2

base of the Triangle= 13 -(4+4)=5

area of Triangle = 5*6/2=15m^2

area of shaded shape =104-15= 89m^2

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X + 2y = 5 3x + 5y = 14 Solve the system of equations. (3, 1) (7, -1) (2, 3/2)
aniked [119]

Answer:

The solution is (3 , 1)

Step-by-step explanation:

To solve the system of the equation you can use the elimination method or substitution method.

We will use the substitution method

From the first equation x + 2y = 5⇒get  x = 5 - 2y

In the second equation 3x + 5y = 14⇒we will substitute x by 5 - 2y

3(5 - 2y) + 5y =14

15 - 6y + 5y = 14

-6y + 5y = 14 - 15

-y = -1

y = 1

Substitute the value of y in x = 5 - 2y

x = 5 - 2(1) = 5 -2 =3

∴ The solution of the system of equations is (3 , 1)

4 0
3 years ago
Read 2 more answers
Large Number Calculations
pantera1 [17]

Answer:

19.2 kg

Step-by-step explanation:

Amount of Bananas consumed in US per year = 5.77 million metric tons

Since 1 million = 10^{6} and 1 metric ton = 1000 kg, we can write:

Amount of Bananas consumed in US per year = 5.77 \times 10^{6} metric tons

Amount of Bananas consumed in US per year = 5.77 \times 10^{6} \times 1000 = 5.77 \times 10^{9} kg

Number of people in US = 301 million = 301 \times 10^{6}= 3.01 \times 10^{8}

We have to find how many kilograms of bananas are consumed per person in 1 year in US. For this we have to divide the total amount of bananas eaten in US per year with total number of people in US, which will be:

\frac{5.77 \times 10^{9}}{3.01 \times 10^{8}} \\\\ = 19.2

This means, 19.2 kilograms of bananas are eaten in US per person in a year.

3 0
3 years ago
Sam is baking cakes at her parent’s bakery. She gets paid 20 a week in addition to 5 for every cake she bakes. She made 50 this
denis-greek [22]

Answer:

i think it is 20 + 5x = 50    or  f(x)=2(3^x)

Step-by-step explanation:

equation to show how many cakes sam baked this week:

20 + 5x = 50

20 = 20 dollars

5 = 5 more dollars

x = number of cakes

therefore, sam earned $50 this week.

4 0
4 years ago
Read 2 more answers
Write the equation of a line passing through (-4.3) and perpendicular to -6x + 4y =-12.
sergij07 [2.7K]

Answer:

y=-2/3*x+1/3

Step-by-step explanation:

-6x+4y=-12

put into y=mx+b line equation

4y=6x-12

y=(6/4)x-(12/4)

y=(3/2)x-4

slope is 3/2

to find perpendiular line slope take the negative inverse.

-(2/3) = slope of perpendicular line

use line equation and solve for y-intercept (b)

3=(-2/3)*(-4)+b

3=8/3+b

b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.

3 0
3 years ago
Classify a triangle whose side lengths are 8, 16, and 18
icang [17]

Answer:

scalene

Step-by-step explanation:

When all sides aren't equal.

7 0
3 years ago
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