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ella [17]
2 years ago
12

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 74°, a

= 14 cm, c = 20 cm
a. 38.59 cm2
b. 134.58 cm2
c. 140 cm2
d. 269.15 cm2
Mathematics
2 answers:
elena55 [62]2 years ago
6 0
It is B 134,58 cm^2 i believe

Ainat [17]2 years ago
6 0

Answer:

Option B. 134.58 cm²

Step-by-step explanation:

Since one of a triangle with two sides and angle opposite to the third side is represented by area = \frac{1}{2}(a.c sinθ)

Since a = 14 cm

          c = 20 cm

  and  θ = 74°

By putting thee values in the formula

Area =  \frac{1}{2} (20) (14) (sin74°)

        = 140(0.9613)

        = 134.58 cm²

Therefore, option B is the answer.

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Which statement is not used to prove that ΔABC is similar to ΔADE? triangles ABC and ADE in which point E is between points A an
Levart [38]

Answer:

The correct option is;

The sum of angles A and B are supplementary to angle C

Step-by-step explanation:

The statements are analysed as follows

1. Angle A is congruent to itself reflective property

Which shows that ΔABC and ΔADE have a common and equal angle

2. Segment ED and CB are parallel

From the transversal line passing EB and CB which shows that the angles ∠ADE and ∠ABC are equal and also ∠AED and ∠ACB are equal

The statement is used to prove similarity between the ΔABC and ΔADE

3. The sum of angles A and B are supplementary to angle C

The above statements relates to only ΔABC and i does not show similarity between ΔABC and ΔADE.

4 0
2 years ago
Read 2 more answers
Look at picture, answer quick please
Tpy6a [65]

Step-by-step explanation:

1. C = the graphing is slowly increasing, then he walks across the top so it is flat

2. D = it started out slow and gradually got higher, which is what the story said

3. H = he had to stop walking, and there is a part of no movement in the graph H

4.

6 0
2 years ago
Shota invests $1000 in a certificate of deposit that earns interest. The investment’s value is multiplied by 1.02 each year. Whi
DENIUS [597]

Answer:

1020

Step-by-step explanation:

1000 times 1.02

here the answer will be 1020.

step-by-step explanation:

1000 times 1.02= 1020

5 0
2 years ago
Read 2 more answers
Consider this polynomial, where a is an unknown real number.
DENIUS [597]

Answer:

Step-by-step explanation:

Correct steps to find the value of 'a' should be,

Braulio's synthetic division should be,

-1  |     1       5         a          -3           11

   

    <u>            -1        -4        (4 - a)     (a - 1)  </u>

         1      4     (a - 4)     (1 - a)     (a + 10)

Here remainder is (a + 10).

So (a + 10) = 17 ⇒ a = 7

Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.

Zahra's calculation by remainder theorem should be,

p(x) = x⁴ + 5x³ + ax² - 3x + 11

p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11

      = 1 - 5 + a + 3 + 11

      = (a + 10)

Since, remainder of the solution is 17,

(a + 10) = 17 ⇒ a = 7

Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).

8 0
2 years ago
Trevor purchases a car. The value of the car is modeled by the function y=22000(0.86)t. Which statement below best describes the
stealth61 [152]

The statement below best describes the value the base 0.86 is that "the car Trevor purchased depreciates at a rate of 86%".

  • It should be noted thàt depreciation occurs when we buy an equipment or machine and use it. With time, due to wear and tear or usage, the value reduces.

  • The value of the car will not appreciate but rather depreciate. Therefore, the correct option is "the car Trevor purchased depreciates at a rate of 86%".

In conclusion, the correct option is D.

Read related link on:

brainly.com/question/21247090

5 0
2 years ago
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