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Oksi-84 [34.3K]
3 years ago
11

John is constructing a triangle with two sides 5 cm and 7 cm and the included angle is 70°. First, John draws a 5 cm segment on

his paper. He is not sure how to construct the 70° angle. What should he do?
Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0
John should use his protractor to mark off a 70° angle whose vertex is one end of his 5 cm segment. If John is unsure how to do that, he can look up videos on how to use a protractor.

John could also construct a segment 13.74 cm long at the end of his segment that is perpendicular to the one he has. The angle formed between the other end of his 5 cm segment and the end of the 13.74 cm segment will be 70°.

Another choice John has is to draw an arc from each end of his 5 cm segment that has a radius of 7.3 cm. The point where these intersect over the middle of his segment will form an angle of 70° when a segment is drawn from there to the end of his 5 cm segment.
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Write an expression for the calculation double 2 and then add 5.
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The expression is (2x2)+5

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The expression 3t gives the number of tickets a player wins if he shoots the ball in the hoop t times. How many tickets would a
kari74 [83]

Answer: 48 tickets

Step-by-step explanation:

Since the expression that gives the number of tickets a player wins if he shoots the ball in the hoop t times is expressed as 3t.

Therefore, the number of tickets that a player wins if he shoots the ball in the hoop 16 times will be:

= 3t

where,

t = 16

Therefore, 3t = 3 × 16 = 48

The player wins 48 tickets.

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3 years ago
Select the correct answer. 3 A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
emmasim [6.3K]

Answer:

a. y = 3/2x - 12

Step-by-step explanation:

Slope is y = mx + b

Slope or m = 3/2

y-intercept or b = -12

Substitute m for 3/2 and b for -12 then the answer would be y = 3/2x - 12

8 0
2 years ago
(sin^4 theta - 1)/(cos^2 theta) = cos^2 theta - 2
WARRIOR [948]

Answer:

?

Step-by-step explanation:

3 0
2 years ago
Select the point that is a solution to the system of inequalities.<br> y≤2x-2<br> y≤ x²-3x
miss Akunina [59]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), -1\leq 2(-2)-2 \implies -1\leq -6.

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), 3\leq 2(1)-2 \implies 3\leq 0

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), 1\leq 2(2)-2 \implies 1\leq 2.

1\leq 2^{2} -3(2) \implies 1\leq -2

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), 2\leq 2(4)-2 \implies 2\leq 6

2\leq 4^{2} -3(4) \implies 2\leq 4

Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

7 0
2 years ago
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