All categories

3 years ago

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

You might be interested in

Nancy bought 2 packs of Digimon cards for $3.07 each, and a deck of baseball cards for $10.36 with a $20 bill. What was the chan

mario62 [17]

cost = 2*3.07+10.36

cost = 6.14+10.36

cost =16.50

20-16.50=change

3.50

She will get $3.50 change

7 0

3 years ago

Read 2 more answers

Betsy uses 8.8 of blue paint and white paint to paint her bedroom walls. 1/4 of this amount is blue paint. And th rest is white

UNO [17]

Answer:

6.6 pints of white paint is used to paint the bedroom walls

Step-by-step explanation:

Pints of blue paint used to paint the bedroom walls = 8.8

Ratio of blue paint used = $\frac{1}{4}$

Therefore,

Ratio of white paint used = $1-\frac{1}{4}=\frac{3}{4}$

Pints of white paint used to paint the bedroom walls = $\frac{3}{4}(8.8)=3(2.2)=6.6$

Therefore,

6.6 pints of white paint is used to paint the bedroom walls.

7 0

3 years ago

Which algebraic property could be used to rewrite 5x ⋅ 8y as 8y ⋅ 5x?

Amiraneli [1.4K]

5x•8y
5•8=x•y
40=x•y
5•40•8•40=
40•(5+8)
40•13=
=520

5 0

2 years ago

Read 2 more answers

How can I solve this problem?

Rus_ich [418]

(f+g)(x)=0
f (x) + g (x)=0

now,
substitute their values

x^2 -4x + x -18 = 0
x^2 -3x -18 =0
x^2 - 6x + 3x - 18 =0
x (x-6) + 3 (x-6) = 0
(x-6)(x+3) = 0

we have to find it's zeroes (or roots) now:

x-6 =0
x = 6

x +3 =0
x = -3

7 0

4 years ago

The question says “The image shows the front of Bob’s barn.Bob plans on painting the front of his barn,not including the doors o

AleksandrR [38]

Bob need to paint 205 square feet.

Solution:

Length of the door = 7 ft

Breadth of the door = 5 ft

Area of the door = length × breadth

= 7 × 5

= 35

Area of the door = 35 ft²

The given image is a trapezoid.

Top base = 12 ft

Bottom base = 20 ft

Area of the trapezoid = $\frac{1}{2} \times\text{sum of the parallel sides}\times\text{height}$

$$=\frac{1}{2}\times(12+20)}\times15$

$$=\frac{1}{2}\times 32\times15$

= 240

Area of the trapezoid = 240 ft²

Surface area to paint = Area of the trapezoid – Area of the door

= 240 ft² – 35 ft²

= 205 ft²

Hence Bob need to paint 205 square feet.

6 0

3 years ago