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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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Hillary paid $8 for 12 donuts. What is the approximate unit cost of each donut​
nalin [4]

Answer:

$0.67

Step-by-step explanation:

Divide 8(dollars) by 12 (donuts) and you get  0.66666666666666666666666666666667

But, round it and you get .67

4 0
3 years ago
Factor the expression by finding the GCF. 16m2 − 12m
ziro4ka [17]

Answer:

4m(4m-3)

Step-by-step explanation:

16m^2 − 12m

16 m^2 = 2*2*2*2*m*m

12m = 2*2*3*m

The greatest factor for 16m^2 and 12m is 2*2*m  or 4m

Factor out 4m

16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)

12m = 2*2*3*m = 4m(3)

Factoring out 4m

16m^2 − 12m

4m(4m-3)

3 0
3 years ago
Read 2 more answers
Help with Math PLZ (Questions in screenshot)
-Dominant- [34]

1.) Let's say that the circle on the graph below represents x. The arrow is pointing to all the numbers greater than x, which happens to be on -2. If it points right, this means that x can equal to any number greater than -2. So your answer is x > -2.

2.) For inequalities such as these, you can simplify just like what you do for normal equations. Let's isolate x.

x - 7 > 10

--> x > 10 + 7

---> x > 17

3.) 3x \leq 21

--> \frac{3x}{3} \leq  \frac{21}{3}

---> x \leq 7

4.) 5a - 2 < 18

--> 5a < 18 + 2

---> 5a < 20

----> \frac{5a}{5} < \frac{20}{5}

-----> a < 4

5.) 2t + 8 \geq -4(t + 1)

--> 2t + 8 \geq -4t - 4

---> 2t + 4t \geq -8 - 4

----> 6t \geq -12

-----> t \geq -2

7 0
3 years ago
What is the slope of Y=-2/3 X + 2
Studentka2010 [4]

Answer:

-2/3

Step-by-step explanation:

in y=mx+b, m= the slope

and if you were graphing, you would put 2 on the y axis and use the rise over run strategy for the slope

hope this helped:)

6 0
3 years ago
What is the perimeter of a square if it has an area of 36 square centimeters?
kirill115 [55]
Let x is the side of the square
so A = x * x or A = x^2 = 36
As you know 36 is a perfect square root = 6^2
Then  x = 6 cm

Perimeter = 4x = 4(6) = 24 cm
7 0
3 years ago
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