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3 years ago

which of the following is a counterexample for the hypothesis if the team plays at home then they win the game

Mathematics

2 answers:

zhenek [66]3 years ago

8 0

The team plays at home and loses the game

Ksenya-84 [330]3 years ago

6 0

The given hypothesis is

"The team plays at home then they win the game".

we are supposed to find counterexample for the given hypothesis.

Since the given hypothesis says "The team plays at home then they win the game". It mean the counterexample will include the scenario in which team plays at home and loses.

Hence the counterexample is

"The team plays at home then they loses the game".

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In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. Find the length of IJ to the nearest tenth of a foot.

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We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(29^{\circ})=\frac{88}{IJ}$

$IJ=\frac{88}{\text{tan}(29^{\circ})}$

$IJ=\frac{88}{0.554309051453}$

$IJ=158.7562024638191237$

Upon rounding to nearest tenth, we will get:

$IJ\approx 158.8$

Therefore, the length of the side IJ is approximately 258.8 units.

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