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Irina-Kira [14]
3 years ago
14

What is the number of square units in the area of the triangle is vertices are points A ( 2,0), B( 6,0) and C (8,5)

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

From points (2, 0) and (6, 0), you can get base = 6 - 2 = 4.

From point (8, 5), you get a height of length 5.

A = bh/2 = 4 * 5/2 = 10

Area = 10 square units

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PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS! .
timama [110]

Answer:

D.) 12

Step-by-step explanation:

16x - 3(4x + 5) = 2x + 9

16x - 12x - 15 = 2x + 9

4x - 2x = 15 + 9

2x = 24

2x/2 = 24/2

x = 12

Check:

16x - 3(4x + 5) = 2x + 9

16(12) - 3(4(12) + 5) = 2(12) + 9

192 - 3(48 + 5) = 2(12) + 9

192 - 3(53) = 24 + 9

192 - 159 = 33

33 = 33

3 0
2 years ago
In order to join the football club, you have to pay a 120 Dirhams joining fee and pay 200
Sergio039 [100]

Answer:

  • y = 200x + 120

Step-by-step explanation:

One off fee is 120 Dirhams and weekly charge is 200 Dirhams.

<u>The equation for this relation is:</u>

  • y = 200x + 120, where x- the number of weeks
8 0
2 years ago
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
Find the​ P-value for the indicated hypothesis test with the given standardized test​ statistic, z. Decide whether to reject H0
Leviafan [203]

Answer: We do not reject the null hypothesis.

Step-by-step explanation:

  • When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.

Given : Test statistic : z = -2.28

Significance level : \alpha=0.02

By using the standard normal distribution table ,

The p-value corresponds to the given test statistic ( two tailed ):-

2P(Z>|z|)=2P(Z>2.28)=0.0226

Since the p-value is greater than the significance level of 0.02.

Then , we do not reject the null hypothesis.

8 0
3 years ago
There are 13 salespeople at a car dealership. last year, they each sold the same number of cars. Together, they sold 1,157 cars.
klemol [59]

Answer:

Each salesperson sold 89 cars last year.

Step-by-step explanation:

13x = 1157   Set up an equation with an x-varible in place of the number of cars to be found

13x/13 = 1157/13   Divide 1157 by 13

x = 89

3 0
3 years ago
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