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LiRa [457]
3 years ago
10

Find the area of ΔABC.

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

Step-by-step explanation:

You know two sides of the triangle and the angle between them, so use the Law of Cosines to solve the triangle.

a² = √(b²+c² - 2bc·cosA)

= √(9²+7.8² -  2·9·7.8·cos(32°)

≅ 4.8

Then use Heron's formula to calculate the area.

semiperimeter s = 0.5×(a+b+c) ≅ 10.8

area = √(s-(s-a)(s-b)(s-c)) ≅ 18.6 square units

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Clyde rents a tuxedo for several days. Let d represent the number of additional days Clyde uses the tuxedo. Write an algebraic e
yaroslaw [1]

Answer:

Total cost = f + ad

Step-by-step explanation:

Given:

Number of days = d

Fixed charges = f

Cost per day = a

Find:

Equation

Computation:

Total cost = fixed cost + (Number of days)(Cost per day)

Total cost = f + ad

3 0
3 years ago
What is the equation of the line that passes through (5, 3) and (4, 5)
lara31 [8.8K]

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 3) and (x₂, y₂ ) = (4, 5)

m = \frac{5-3}{4-5} = \frac{2}{-1} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 5), then

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

7 0
3 years ago
Order the following values from least to greatest.<br> 25<br> -14<br> _-4<br> 21
Vikki [24]
-14
-4
21
25
Least to greatest.
7 0
3 years ago
Read 2 more answers
Hii<br> Help plzz anyone!!
natka813 [3]

Answer:

It's just addition and subtraction.

Step-by-step explanation:

1. $65,000

2. 66,000

3. 114,000

7 0
3 years ago
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Write the formula for the following sequence.<br>5.8, 3.6, 1.4,...<br>PLEASE SHOW YOUR WORK.​
sladkih [1.3K]

tn = t(n - 1)- 2.2

common difference is

3.6 - 5.8 = -2.2

let T1 = 5.8

T2 = 3.6

assuming we are to find T2

T2 = T(2-1) -2.2

= T1 -22

= 5.8 -2.2

= 3.6

3 0
2 years ago
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