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3 years ago

11

The cost for Dana and Courtney's lunch is 24 dollars if they want to leave a 15% tip, what is the total cost of their lunch, inc

luding the tip?

1 answer:

olga nikolaevna [1]3 years ago

4 0

Answer:

$27.6

Step-by-step explanation:

The meal was $24, so you multiply 24 * .15 (which is your 15%) which equals 3.6. Add the 3.6 to 24 and your total is $27.6

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Jordan measures the side lengths of a triangular piece of sheet metal. The side lengths are 156 cm, 133cm, and 205 cm. Verify th

Alexxx [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

If the triangular piece of sheet metal is a right triangle, then the side lengths must satisfy the Pythagorean Theorem

so

$c^2=a^2+b^2$

where

c is the hypotenuse (the greater side)

a and b are the legs of triangle

we have

$c=205\ cm\\a=156\ cm\\b=133\ cm$

substitute

$205^2=156^2+133^2$

$42,025=24,336+17,689$

$42,025=42,025$ ----> is true

so

The side lengths satisfy the Pythagorean Theorem

therefore

The triangular piece of sheet metal is a right triangle

8 0

3 years ago

how high up a vertical wall will a 26-foot-long extension ladder reach if its base is placed 10 feet away from the wall

allsm [11]

Answer:

24ft high

Step-by-step explanation:

Assuming the wall is perpendicular to the ground (so that it forms a right angle, and that when the ladder is placed on the ground and leaned up against the wall that it forms a right triangle), we can use the Pythagorean Theorem to describe the situation mathematically.

<h3><u>The Pythagorean Theorem</u></h3>

For any right triangle (a triangle that has a right angle) the Pythagorean Theorem applies. The Pythagorean Theorem describes the relationship between side lengths as $a^2+b^2=c^2$ , where "c" is the length of the "hypotenuse" (the side across from the right angle), and "a" and "b" are the lengths of the "legs" (the other two sides that are touching the right angle). Since addition is commutative, it doesn't matter which leg you pick for side "a" or side "b", it only matters that the hypotenuse must be "c".

Given that the ladder is across from the right angle (the angle formed by the wall and the ground... the two "legs"), the ladder represents the hypotenuse in this situation.

<h3><u>Substituting known values, and solving the equation</u></h3><h3> $a^2+b^2=c^2$ </h3>

Substitute known values, and simplify...

$a^2+(10)^2=(26)^2$

$a^2+100=676$

Subtract 100 from both sides...

$(a^2+100)-100=(676)-100$

$a^2=576$

Apply the square root property...

$\sqrt{a^2}=\pm \sqrt{576}$

$a=\pm 24$

$a=24$ or $a=- 24$

Since the distance height the ladder will reach is not a negative number, we reject the negative solution. Hence, the ladder will reach 24ft high, if placed 10ft from the base of the wall.

8 0

2 years ago

Your odometer reads 4,261 miles. You drive your car until the odometer reads 4,751 and your car used 25 gallons of gasoline duri

aivan3 [116]

Answer:

35 gallons.

Step-by-step explanation:

Why? Bc it is the closest 4,751

3 0

2 years ago

Please help me on number 21

MariettaO [177]

The answer is a i think

7 0

3 years ago

Rearrange x=3g+2 to make g the subject.

mina [271]

We have: x = 3g + 2

Subtract 2 from the both sides,
x - 2 = 3g + 2 - 2
x - 2 = 3g

Now, Divide 3 from both sides,
(x-2)/3 = 3g/3
g = x-2 / 3

In short, Your Answer would be x-2 /3

Hope this helps!

6 0

3 years ago

Read 2 more answers