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Mamont248 [21]
3 years ago
6

The area of triangle ABC is 24 square centimeters. If B = 30° and a = 6 cm, what is the measure of side c?

Mathematics
2 answers:
Ghella [55]3 years ago
6 0
I'm going to say the answer is 16cm, so the measure of C = 16cm
Roman55 [17]3 years ago
3 0
We know that

the area of a triangle is
A=1/2 * a * c * sin (B°)
so
1/2 * 6 * c * sin (30°) = 24---------> 3*c*(1/2)=24--------> c=16 units

the answer is c=16 units
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3 +17 p + 2 - P<br> Simply each expression by combing like terms
natita [175]
3+17p+2-p
=3+2+17p-p
=5+16p

hope this helps!!
7 0
3 years ago
45 points for first most detailed / accurate answer:
Bas_tet [7]
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions. 

I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.

With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:

V=pi(r^2)(h)

we then solve the corresponding height per candle. Let us let the value of pi be 3.14.

Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for 

r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in

b. each candle should sell for $15.00 each

($20+$100)/8=$15.00

c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
7 0
3 years ago
A bag has 5 yellow marbles, 3 red marbles and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before a
almond37 [142]

Answer:

20%

Step-by-step explanation:

or 20 because since there is 5 and 3 you ad them and you get 5, 5+5 =10 and its like 100 but its not so, 2 of 10 is like saying 20% of 100

8 0
3 years ago
Read 2 more answers
1. What is the solution of n² – 49 = 0? (1 point)
maks197457 [2]

Answer:

1. n=\pm7

2. x=\pm7i[tex]3.[tex]\pm 12x =a

4. 22

Step-by-step explanation:

1. n^2 - 49 = 0

n^2 =49

n= \sqrt{49}

n=\pm7

2. x^2+64 = 0

x^2 =-64

x= \sqrt{49}

x=\pm7i[tex]3. Area of square = [tex]a^{2}

Where a is the side

We are given an area o square = 144x^{2}

So, 144x^{2}=a^{2}

\sqrt{144x^{2}}=a

\pm 12x =a

4. We are given that the solution of quadratic equation -9 and 9

So, equation becomes:

(x+9)(x-9)=0

x^2- 81=0

So, in the given equation x^2 + z = 103

z should be the number from which if we subtract 103 so we get 81

Substitute z = 22

x^2 + 22 = 103

x^2 + 22 -103=0

x^2 -81=0

Thus the value of z is 22

8 0
3 years ago
Read 2 more answers
Pls help it due soon <br> Show workings!
mel-nik [20]

Answer:

A

Step-by-step explanation:

So the triangle rule is that the 2 smaller sides of a triangle have to have a greater sum than the largest side.

I answer a 1+2 has to be greater than 3 and its not therefore A is the answer

3 0
3 years ago
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