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rjkz [21]
2 years ago
14

Find the area of the triangle

Mathematics
1 answer:
Mumz [18]2 years ago
5 0

Step-by-step explanation:

\frac{(3 + 6) \times 4}{2}  =   \frac{9 \times 4}{2}   = 18 {m}^{2}

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4) Solve ∆ABC, a = 2.5 cm, c = 3.6 cm, and ∠A = 43°. Begin by sketching and labelling
mezya [45]

The length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

<h3>How to determine the parameters</h3>

To determine the angles and length of sides, we use the sine rule

The sine rule is thus:

\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}

Given;

  • a = 2. 5cm
  • c = 3. 6cm
  • ∠A = 43°

Let's find angle C

\frac{sin 43}{2. 5} = \frac{sin C}{3. 6}

cross multiply

0. 682 × 3. 6 = sin C × 2. 5

sin C = 2. 4552/ 2. 5

C = sin^-^1(0. 982)

C = 79°

To find length of b

b= \sqrt{c^2 - a^2}

substitute the values

b = \sqrt{3.6^2 - 2. 5^2}

b = \sqrt{6. 71}

b = 2. 59 cm

b = 3cm

To find angle B, we have

\frac{sin 43}{2. 5} = \frac{sin B}{2. 59}

cross multiply

0. 682 × 2. 59= sin B × 2. 5

sin B = 0. 7065

B = sin^-^1(0. 7065)

B = 45°

Hence, the length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

Learn more about sine rule here:

brainly.com/question/12827625

#SPJ1

8 0
1 year ago
Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If
nignag [31]
The answer is C. 2 hours and 15 minutes. Please refer to the attached document to see the image for better understanding of solution.

Philadelphia = Point A
Pittsburgh = Point B
X = distance traveled by Michelle
(305-X) = distance traveled by Rich

The general formula used is:

distance = velocity(time)
s = v(t)

Assigning values gives 2 equations:

For Michelle: X = 65(t)
For Rich: (305-X) = 70(t)

Substituting both equations gives:

X = 146.852 miles
t = 2.26 hours or approximately 2 hours and 15 minutes
Download docx
8 0
3 years ago
Solve the equation for y y−5x=3
Lyrx [107]

Answer:

y = 5x + 3

Step-by-step explanation:

y - 5x = 3

add 5x to both sides to isolate y

y = 3 + 5x

rearrange to slope intercept form

y = 5x + 3

3 0
3 years ago
PLZZZ HELPPPP ILL MARK BRAINLIEST TO FIRST AND CORRECT ANSWER THAT HAS WORK AND A THX TO SECOND AND CORRECT ANSWER.
adelina 88 [10]

Answer:

c option

Step-by-step explanation:

Supplementary angles are those which on adding make an angle of 180⁰.

From the the options, only (angle 1 + angle 2) are making an angle of 180⁰.

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

7 0
2 years ago
Which of the following prove that (-9)(4) = -36?
Luba_88 [7]

Answer:

C If I lost 9 pounds every month for 4 months in a row, then I lost 36 pounds.

Step-by-step explanation:

4 0
3 years ago
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