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2 years ago

12

it took Otis 6 hours to travel to the Grand Canyon. Along the way he took 18 min. to get gasoline and 53 min. to eat. How much t

ime did Otis spend driving

1 answer:

ANEK [815]2 years ago

7 0

Answer:

The answer is 4 hours and 49 minutes

Step-by-step explanation:

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What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago

Rebecca bought some snacks at the bulk food store. She scooped and

oee [108]

Answer:

1.85

Step-by-step explanation:

3 0

2 years ago

HELP HELP HELP HELP GFG

liraira [26]

Answer:

y=mx + b

the slope is -3,2

y= -0.67x + 5

this is what. i got i could be wrong, sorry if i am

Step-by-step explanation:

8 0

2 years ago

jason and his family travels 160 miles in 3.2 hours. if they continue at this constant speed, how long will it take them to trav

Misha Larkins [42]

Set up a proportion
160 mi/ 3.2 hrs ≈ 300 mi/x hrs
cross multiply and solve for x and you get x≈6
It will take them 6 hours

3 0

3 years ago

???? Help me please

liberstina [14]

1) I have no idea... -.-

2) $80

3) 12

4) 13

5) 42

4 0

2 years ago