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nirvana33 [79]
3 years ago
12

Find the area of the patio

Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

Answer:19x^2-68x

Step-by-step explanation:

first, add the 2x on the side of the large rectangle to the 2x on the pool side to find the length. then find the area of the entire image (4x•8x-10=32x^2-40x) now find the area of the pool (2x•6x-14=12x^2-28x) and add it to the area of the hot tub (x•x=x^2) (13x^2-28x) finally subtract that from the area of the entire image (32x^2-40x=19x^2-68x)!

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(a) 3 - 2/3÷4/3 × 7<br>(b) [(2/3)/(5/6)]-2/5<br>(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}<br>​
BartSMP [9]

Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

= (9/3 - 2/3) ÷ 28/3

= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

= 1/4

b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

= 4/5 - 2/5

= 2/5

c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

= (- 3/4 + 12/4) ÷ (4/10 - 25/10)

= 9/4 ÷ (- 21/10)

= 9/4 x - 10/21

= - 90/84

= (6 x - 15) / (6 x 14)

= - 15/14.

If you have any doubt, then you can ask me in the comments.

6 0
3 years ago
Read 2 more answers
Match each table of data below with the most appropriate graph and briefly explain why it matches the data
Stells [14]

Answer:

Table a match with  Graph 3

Table b match with Graph 2

Table c match with Graph 4

Step-by-step explanation:

<u>Table a</u>

Time is plotted on x - axis and Temp on y axis

From table a we can see that the y values(temp) decrease with increasing time. The only graph that has a decreasing trend is Graph 3

<u>Table b</u>

Time plotted on x axis, cost on y axis

Looking at the values we see that they are almost linear except for 2 values  at x = 2 and 2.5 and at y = 5 and 5.3.

Ignoring values 2.5 and 5.3 we see a linear fit with a slope of 20. This means either graph 1 or graph 2

However, the graph passes through (0,0) and this is not a set of values in the table. That leaves graph 2

<u>Table c</u>

Months plotted on x axis and length of fetus on the y axis

We can see that the y values (the length) increases slowly at lower values of x(x=1 and x=2) and then increase rapidly at the mid values(x = 2 thru 6) and then slows  down  between months 6 and 9. Only Graph 4 fits this pattern

8 0
2 years ago
.
eimsori [14]
I would go with D) incenter but im not too sure. 
x
7 0
3 years ago
Read 2 more answers
Even more trig ratios see attachment
egoroff_w [7]

Step-by-step explanation:

1. Use the Pythagorean theorem to solve for side KM:

  • 16^2+KM^2=34^2
  • 256+KM^2=1156
  • KM^2=900
  • KM=30

2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34

3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16

4. Sine is opposite over hypotenuse, so sine of M will be 16/34

5. KM=30, solved for in step 1.

hope this helps!!

4 0
2 years ago
Which choice is the solution for this system ? 2x − 5y = 14 x + 3 2 y = 5
VashaNatasha [74]

Answer:

The required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

Step-by-step explanation:

The given equations are

2x-5y=14                       .... (1)

x+\frac{3}{2}y=5            .... (2)

Multiply the equation (2) by 2.

2x+3y=10                     .... (3)

Subtract equation (1) from equation (3).

2x+3y-(2x-5y)=10-14

2x+3y-2x+5y=-4

8y=-4

y=-\frac{1}{2}=-0.5

Put this value in equation (1).

2x-5(-0.5)=14

2x+2.5=14

2x=11.5

x=5.75

Therefore the required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

3 0
2 years ago
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