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3 years ago

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Arun's family took a road trip to Niagara Falls. Arun fell asleep 69% of the way through the trip. If Arun fell asleep after the

y had traveled 690 miles, what was the total length of the trip?

1 answer:

myrzilka [38]3 years ago

5 0

Answer:

69% × 690 =

(69 ÷ 100) × 690 =

(69 × 690) ÷ 100 =

47,610 ÷ 100 =

476.1

Step-by-step explanation:

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Can anyone solve this?

vovangra [49]

Answer:

<em>x = 11.83°</em>

Step-by-step explanation:

<u>Equations</u>

The figure shows two parallel lines crossed by a line. We have completed the figure with another variable y. Please see the attached image.

Angles y and 4x+28 are linear, thus their sum is 180°:

y + 4x + 28 = 180

Angles y and 8x + 10 are corresponding, thus

y = 8x + 10

Substituting:

8x + 10 + 4x + 28 = 180

Simplifying:

12x + 38 = 180

Subtracting 38:

12x = 142

Dividing by 12

x = 11.83°

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3 years ago

10 POINTS<br> Find the surface area of the regular pyramid. Round to the nearest tenth if necessary.

NNADVOKAT [17]

Answer:

$SA=234.8\ yd^2$

Step-by-step explanation:

we know that

The surface area of the regular pyramid is equal to the area of the triangular base plus the area of its three triangular lateral faces

step 1

Find the area of the triangular base

we know that

The triangular base is an equilateral triangle

so

The area applying the law of sines is equal to

$A=\frac{1}{2}(14^2)sin(60^o)$

$A=\frac{1}{2}(196)\frac{\sqrt{3}}{2}$

$A=49\sqrt{3}=84.87\ yd^2$

step 2

Find the area of its three triangular lateral faces

$A=3[\frac{1}{2}bh]$

we have

$b=14\ yd$

Find the height of triangles

Applying the Pythagorean Theorem

$10^2=(14/2)^2+h^2$

solve for h

$100=49+h^2$

$h^2=100-49$

$h=\sqrt{51}\ yd$

substitute

$A=3[\frac{1}{2}(14)\sqrt{51}]$

$A=149.97\ yd^2$

step 3

Find the surface area

Adds the areas

$SA=84.87+149.97=234.84\ yd^2$

Round to the nearest tenth

$SA=234.8\ yd^2$

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3 years ago

Read 2 more answers

You bought 4 notebooks for $0.89 each and some reams of paper at a cost of $1.69 each.

sukhopar [10]

Answer:

5

Step-by-step explanation:

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3 years ago

Music lessons cost $20 per week how much do 6weeks of lessons cost

Mamont248 [21]

Answer:

120

Step-by-step explanation:

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3 years ago

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You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.19 a p

SSSSS [86.1K]

Answer:

Yes, it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you $0.89.

Step-by-step explanation:

1.) Neighborhood store

It is 2.4 miles away

The car averages about 25 miles per gallon, then you would need:

2.4 miles / (25 miles/gallon) = 0.096 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.096 gallons * ($3.89/gallon) = $0.37344 = $0.37

The chicken is sold for $3.49 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.49/pound) = $20.94

In total you would need:

$0.37 (gas) + $20.94 (chiken) = $21.31 if you buy the chicken in the neiborhood store

2.) Store acroos town

It is 8.2 miles away

The car averages about 25 miles per gallon, then you would need:

8.2 miles / (25 miles/gallon) = 0.328 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.328 gallons * ($3.89/gallon) = $1.27592 = $1.28

The chicken is sold for $3.19 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.19/pound) = $19.14

In total you would need:

$1.28 (gas) + $19.14 (chiken) = $20.42 if you buy the chicken in the store across town

$20.42 < $21.31, then it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you: $21.31-$20.42=$0.89

8 0

3 years ago