MATHEMATICS HIGH SCHOOL

In a 30-60-90 triangle the long leg is half the hypotenuse
Always
Sometime
Never

Answers

Answer 1
Answer:

Answer:

Never.

Step-by-step explanation:

Definition:

In a 30-60-90 triangles:

  • The length of a hypotenuse sides is twice the length of the shorter leg
  • The length of the Longer side is √(3) times the shorter leg.

As per the statement:

In a 30-60-90 triangle the long leg is half the hypotenuse.

since,

\text{Shorter leg} = (1)/(√(3)) \cdot \text{Length of longer side}

By definition;

length of a hypotenuse sides is twice the length of the shorter leg

⇒\text{length of hypotenuse} = 2 \cdot (1)/(√(3)) \cdot \text{Length of longer side}

⇒\text{length of hypotenuse} =(2)/(√(3)) \cdot \text{Length of longer side}

⇒\text{length of longer side} =(√(3))/(2) \cdot \text{Length of Hypotenuse side}

Therefore. the given statement "In a 30-60-90 triangle the long leg is half the hypotenuse." is Never.
Answer 2
Answer: I wanted to say Sometime
But I believe the answer is Never

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Tosha is making muffins for breakfast. The recipe calls for 2 1/8 cups of white flour and 1 3/4 cups of wheat flour. What is the total amount of flour in the muffin recipe?

Answers

2 1/8 + 1 3/4

3/4 = 6/8

1/8 + 6/8 = 7/8

2 + 1 = 3

3 + 7/8 = 3 7/8 

There is a total of 3 7/8 cups of flour.

Answer:

Step-by-step explanation:

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Emil's backpack weighs six and three eights pounds. He removes a book that weighs three fourth pound. Then he removes a book that weighs one half pound .How much does Emil's back pack weigh now

Answers

Answer:

Emil's back pack weigh now 5(1)/(8)\ pounds.

Step-by-step explanation:

Given:

Total Weight of backpack = 6(3)/(8)\ pounds

6(3)/(8)\ pounds can be Rewritten as (51)/(8)\ pounds

Weight of backpack =  (51)/(8)\ pounds

Weight of Book 1 = (3)/(4)\ pound

Weight of Book 2 = (1)/(2)\ pound

We need to find weight of back pack after removing books.

Solution:

Now we can say that;

weight of back pack after removing books can be calculated by Subtracting Weight of Book 1 and Weight of Book 2 from Total Weight of backpack.

framing in equation form we get;

weight of back pack after removing books = (51)/(8)-(3)/(4)-(1)/(2)

Now to solve the equation we will first make the denominator common using LCM.

weight of back pack after removing books =(51*1)/(8*1)-(3*2)/(4*2)-(1*4)/(2*4)=(51)/(8)-(6)/(8)-(4)/(8)

Now the denominators are common so we will solve the numerator.

weight of back pack after removing books = (51-6-4)/(8)=(41)/(8)\ pounds \ \ OR \ \ 5(1)/(8)\ pounds

Hence Emil's back pack weigh now 5(1)/(8)\ pounds.

Joseph drove for hours at the speed of 40 km per hours he changed his speed to 65 km for the next 2 hours how far had Joseph driven in km

Answers

Answer:

The answer to your question is 450 km

Step-by-step explanation:

Data

First stage                      Second stage

speed 1 = 40 km/h         speed 2 = 65 km/h                      

time 1 = 8 h                     time 2 = 2 h

Process

1.- Write the formula to calculate the speed

    speed = distance / time

-Solve for distance

    distance = speed x time

2.- Calculate the distance of the first stage

    distance 1 = 40 x 8

    distance 1 = 320 km

3.- Calculate the distance of the second stage

    distance 2 = 65 x 2

    distance 2 = 130 km

4.- Calculate the total distance

    Total distance = 320 + 130

                             = 450 km
I’d go with the answer from the top it seems reliable

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Answers

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