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Karo-lina-s [1.5K]
3 years ago
14

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 En

dRoot feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply. The triangle is isosceles. The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot. The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.
Mathematics
2 answers:
pogonyaev3 years ago
8 0

Answer:

The leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

The nonright angles are congruent

( B, D, E )

Step-by-step explanation:

Just did it on edge

saw5 [17]3 years ago
7 0

Answer:

<em>The leg-to-hypotenuse ratio is 1/√2</em>

<em>The ladder represents the longest length in the triangle.</em>

Step-by-step explanation:

The set up in the question will b a right angled triangle

Length of the ladder will be the hypotenuse

The distance from the base of the wall to the base of the ladder  is the adjacent

Height of the wall will be the opposite

Note that the longest side is always the hypotenuse (length of the ladder)

Given

length of the ladder = 12foot

The distance from the base of the wall to the base of the ladder = 6√2

The ratio of leg to hypotenuse = 6√2/12 = √2/2

√2/2 = √2/2 * √2/√2

√2/2 = √4/2√2

√2/2 = 2/2√2

√2/2 = 1/√2

Hence the leg-to-hypotenuse ratio is 1/√2

<em>From the calculation the following are correct:</em>

<em>the leg-to-hypotenuse ratio is 1/√2</em>

<em>The ladder represents the longest length in the triangle.</em>

<em></em>

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Three people spend $22.50 on large popcorns and soft drinks. They go back the next week and each pay $8.00 for each ticket, they
kakasveta [241]

Answer:

Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

Step-by-step explanation:

Let the Cost of each large soft drink be x.

Also Let the Cost of each Large bucket of popcorn be y.

Number of people = 3

Money Spend on popcorn and soft drink = $22.50

Hence we can say that;

3x+3y=22.50 \ \ \ \ equation \ 1

Next week three people traveled again.

Each ticket was bought = $8.00

Number of tickets bought = 3

Money spend on tickets = 8\times3 = \$24

Total return trip = $37.50

Also they each get a large soft drink, but they share one large bucket of popcorn

Cost of Soft drink = 3x

Cost of popcorn = y

Now Total return trip is equal to sum of Money spend on tickets  and Cost of soft drink and Cost of popcorn.

Hence equation can be framed as;

24+3x+y=37.50\\3x+y=37.50-24\\3x+y = 13.50 \ \ \ \ eqaution \ 2

Now Subtracting equation 2 from equation 1 we get;

(3x+3y)-(3x+y)=22.50-13.50\\\\3x+3y-3x-y=9\\\\2y= 9\\\\y=\frac{9}{2}=\$4.50

Now substituting the value of y in equation 1 we get;

3x+3y=22.50\\\\3x+3\times4.50=22.50\\\\3x+13.50=22.50\\\\3x=22.50-13.50\\\\3x= 9\\\\x=\frac{9}{3}=\$3.00

Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

7 0
3 years ago
a car needs fixing and Abe can fix it for $70 per hour with a $60 part, but Gabe can fix it for $80 an hour with a $40 part. How
Nat2105 [25]

After 2 hours time ,  both Abe and Gabe to cost the same amount .

<u>Step-by-step explanation:</u>

Here we have , a car needs fixing and Abe can fix it for $70 per hour with a $60 part, but Gabe can fix it for $80 an hour with a $40 part. We need to find How long will it take for both Abe and Gabe to cost the same amount .Let's find out:

Let the time for which both Abe and Gabe to cost the same amount be x hours, so according to question scenario we will have equation as :

⇒ 70x+60=80x+40

⇒ (70x+60)-70x=(80x+40)-70x

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⇒ 20=10x

⇒ x=2

Therefore , After 2 hours time ,  both Abe and Gabe to cost the same amount .

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