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Mathematics

1 answer:

SIZIF [17.4K]3 years ago

4 0

She needs to answer 16 questions to get -80. (80÷5=16) but since she needs a smaller score than that to win the game, she then will have to answer more than 16 questions correctly. at least 17 to get less that -80. Hopefully I am understanding the question right.

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Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a

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Answer:

(4,0,-5)

Step-by-step explanation:

Since we move 4 points along +ve x-axis so, x coordinate is 4

We did not move any point along y-axis so y coordinate is 0

we moved 5 points along -ve z-axis so z coordinate is -5

so our position is (x,y,z) = (4,0,-5)

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Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the th

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Answer:

A. √13

Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

A -- between 3 and 4, the correct choice

B -- 3, too short

C -- 1.73, too short

D -- more than 4, too long

The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

c = √(a^2 +b^2 -2ab·cos(C))

c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)

c = √13 . . . . . length of the side opposite the 60° angle