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Oksana_A [137]
3 years ago
12

Jillian measured the distance around a small fish pond as 27 yards. Which would be a good estimate for the distance across the p

ond 14 yards 9 yards or 7 yards
Mathematics
1 answer:
DochEvi [55]3 years ago
3 0
Assuming the fish pond is round, what you're given is the circumference.
So you know that 2<span>πr = 27.
We want to solve for the diameter, or d = 2r. We should isolate that.
2r = 27/</span><span>π
2r = 8.59 yards, or ~9 yards.</span>
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Evaluate the expression. Will choose brainliest
svet-max [94.6K]

Answer:

-213

Step-by-step explanation:

3|3-5|^2-(-15)^2

3(4)-225

=12-225= -213

3 0
3 years ago
Read 2 more answers
Help im behind my math class. pls
maks197457 [2]

Answer:

Please check the explanation.

Step-by-step explanation:

From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.

Therefore, the pairs of alternating interior angles formed by the two transversal lines are:

  • ∠1  & ∠5
  • ∠2 & ∠4
  • ∠2 & ∠7
  • ∠3 & ∠6

We know that alternating interior angles formed by a transversal line are congruent.

Thus,

  • ∠1  = ∠5
  • ∠2 = ∠4
  • ∠2 = ∠7
  • ∠3 = ∠6

Part a)

Given

m∠1 = 3x + 42

m∠5 = 8x - 8

As

∠1  = ∠5

So

3x + 42 =  8x - 8

flipe the equation

8x - 8 = 3x + 42

subtract 3x from both sides

8x - 8 - 3x = 3x + 42 - 3x

5x - 8 = 42

add 8 to both sides

5x - 8 + 8 = 42 + 8

5x = 50

divide both sides by 5

5x/5 = 50/5

x = 10.0000 (Rounded to four decimal places)

Thus, the value of x = 10.0000 (Rounded to four decimal places)

Part b)

Given

m∠6 = 12°

It is clear that angles ∠6 and angle ∠7 lie on a straight line.

Thus,

The sum of ∠6 and ∠7 is 180°.

∠6 + ∠7 = 180°

substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°

12° + ∠7 = 180°

subtract 12 from both sides

12° + ∠7 - 12° = 180° - 12°

∠7 = 168°

Thus, measure of angle ∠7 = 168°.

We already know that alternating interior angles formed by a transversal line are congruent.

∠7 and ∠2 are alternating interior angles.

Thus,

∠2 = ∠7

As ∠7 = 168°.

Therefore,

∠2 =  168°

Hence, we conclude that

∠2 =  168°

7 0
3 years ago
How do you solve 2x^2 - 7x -5= 0 in quadratic form?
lesantik [10]

Answer:

Once the equation is in standard form, factor the quadratic expression. 2x2 + 7x + 3 = 0 (2x + 1)(x + 3) = 0. Using the Zero Product Property set ...

2x2 + 7x = -3

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Once the equation is in standard form, factor the quadratic expression.

2x2 + 7x + 3 = 0

(2x + 1)(x + 3) = 0

Using the Zero Product Property set each factor equal to 0 and solve for x.

2x + 1 = 0  

2x + 1 - 1 = 0 - 1 x + 3 = 0

2x = -1 x + 3 - 3 = 0 - 3

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The solutions to the equation are -1 2 and -3.

7 0
3 years ago
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A police car leaves a crime scene heading east directly towards the hospital at 72 kilometres per hour. An ambulance leaves a qu
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It will take 2 hours for the ambulance to pass the police car.

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Therefore, it will take 2 hours for the ambulance to pass the police car.

Learn more about maths in brainly.com/question/25818763

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A statement of an employee's biweekly earnings is given below.
iogann1982 [59]
Gross pay = <span>$98.00 + $52.88 + $12.37 + $22.54 + $667.17 = $852.96</span>
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