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Alekssandra [29.7K]
2 years ago
14

Determine the area of the blue triangle below. Round your answer to the nearest tenth.

Mathematics
2 answers:
Sholpan [36]2 years ago
5 0

Answer:

68.9 in^2

Step-by-step explanation:

first lets find the height of the blue triangle

hypotenuse = 15 in

one side is 12 in whereas other has to be find.

take 50 degree as reference angle

using sin rule

sin 50 = opposite/hypotenuse

0.76 = opposite/15

0.766*15 = opposite

11.49 = opposite

area of triangle = base*height/2

=12*11.49/2

=136.88/2

=68.94

=68.9 in^2

o-na [289]2 years ago
4 0

Answer:

A = 68.9 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \frac{1}{2} ab sinC ( a, b are 2 sides and C the angle between them )

Here a = 12, b = 15 and C = 50° , then

A = \frac{1}{2} × 12 × 15 × sin50°

   = 6 × 15 × sin50°

   = 90 × sin50° ≈ 68.9 in² ( to the nearest tenth )

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Answer:

78.88%

Step-by-step explanation:

We have been given that

\mu=25,\sigma=4,x_1=20,x_2=30

The z-score formula is given by

z-\text{score}=\frac{x-\mu}{\sigma}

For x_1=20

z_1=\frac{20-25}{4}\\\\z_1=-1.25

For x_2=30

z_2=\frac{30-25}{4}\\\\z_2=1.25

Now, we find the corresponding probability from the standard z score table.

For the z score -1.25, we have the probability 0.1056

For the z score 1.25, we have the probability 0.8944

Therefore, the percent of the trees that are between 20 and 30 years old is given by

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6 0
3 years ago
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Simplify: 7·(a+5)–30 =
postnew [5]

Answer:

7a + 5

Step-by-step explanation:

Distribute using PEMDAS.


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3 years ago
Use the properties of quadrilaterals to complete the statements. A has exactly one pair of parallel sides. A must have two pairs
vesna_86 [32]

Answer:

1. Trapezoid

2. Kite

3. Square, Rhombus

Step-by-step explanation:

Given - Use the properties of quadrilaterals to complete the statements.

To find - A ..... has exactly one pair of parallel sides.

             A ....... must have two pairs of adjacent sides congruent.

             A ........ must have all congruent sides.

Proof -

A Trapezoid has exactly one pair of parallel sides.

A Kite must have two pairs of adjacent sides congruent.

A Square, Rhombus must have all congruent sides.

Reason -

  • A trapezoid is a quadrilateral with exactly one pair of parallel sides.
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  • A rhombus is a parallelogram with four congruent sides.
  • A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.

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Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

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