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elena-14-01-66 [18.8K]
3 years ago
13

What is the sine of C if triangle ABC has b = 3, c = 7, and angle B = 15°?

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
6 0
0.6039 is the answer. please give me brainiest.
Andrei [34K]3 years ago
4 0

Answer:

sin C = 0.6039111053

Step-by-step explanation:

The Law of sine can be used to solve this question. Sine formula for triangle can be represented using the picture of the triangle above.

a/sin A = b/sin B = c/sin C

b = 3

c = 7

B = 15°

Inputting the value in the equation

b/sin B = c/sin C

3/sin 15 = 7/sin C

cross multiply

3 sin C = 7 sin 15°

3 sin C = 7 × 0.2588190451

3 sin C = 1.811733316

sin C = 1.811733316/3

sin C = 0.6039111053

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The area of the large rectangle is twice the area of the small rectangle. What is the value of x?Two rectangles are shown. The l
kupik [55]

Answer:

B. 8 cm.

Step-by-step explanation:

The area of a rectangle is the length*width.

The area of the larger rectangle is 4*12=48.

The area of the smaller rectangle is 3*x=3x.

If the larger rectangle's area is twice that of the smaller rectangle, then we can say 48=2*3x.

Let's solve for x

48=2*3x

48=6x

x=8

3 0
2 years ago
Plz help me get this right
sladkih [1.3K]

Answer:

12 x 8 divided by 2 = 48cm

Step-by-step explanation:

6 0
3 years ago
A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gi
inessss [21]

Answer:

\frac{1429}{120} or 11\frac{109}{120}

Step-by-step explanation:

Given:

A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gives 7 peaches to a 5th person.

Remaining peaches = 4

We need to find the original number of peaches in the basket.

The farmer gives the total number of peaches = \frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7

Let x be the former gives the total number of peaches

We multiply and divide by 120 in right side of the above equation because of 120 is divided by all given denominator and then simplify.

x = \frac{120}{120}(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7)

x = \frac{1}{120}(\frac{120}{3}+\frac{120}{4}+\frac{120}{5}+\frac{120}{8}+7\times 120)

x = \frac{1}{120}(40+30+24+15+840)

x = \frac{1}{120}(949)

x = \frac{949}{120}

We add the remaining peaches by given peaches for the original number of peaches in the basket.

Original number of peaches = \frac{949}{120}+4

Original number of peaches = \frac{949+4\times 120}{120}

Original number of peaches = \frac{949+480}{120}

Original number of peaches = \frac{1429}{120}

Original number of peaches = 11\frac{109}{120}

Therefore the original number of peaches in the basket is \frac{1429}{120} or 11\frac{109}{120}

5 0
3 years ago
Select the correct answer.
ipn [44]

Answer:b

Step-by-step explanation:

5 0
2 years ago
4 + 4 (1 + 5m) = -132
MrRissso [65]

Answer:

m=-7

Step-by-step explanation:

4+4+20m=-132

8+20m=-132

20m=-132-8

20m=-140

m=-7

6 0
2 years ago
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