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jarptica [38.1K]
3 years ago
8

Use the law of sines to find the length of side c (answer as soon as possible)

Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Using the law of sines in ΔABC, then

\frac{c}{sinC} = \frac{a}{sinA}

Substituting in values gives

\frac{c}{sin31.6} = \frac{25}{sin38} ( cross- multiply )

c × sin38° = 25 × sin31.6° ( divide both sides by sin38° )

c = \frac{25(sin31.6)}{sin38} ≈ 21.28 → D

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Use the definitions for the sets given below to determine whether each statement is true or false:
ella [17]

Answer:

(a) false

(b) true

(c) true

(d) true

(e) false

(f) true

(g) false

(h) true

(i) true

Step-by-step explanation:

(a) 15 ⊂ A, since 15 is not a set, but an element, we cannot say of an element to be subset of a set. False

(b) {15} ⊂ A The subset {15} is a subset of A, since every element of {15}, that is 15, belongs to A.

15 ∈ {15} and 15 ∈ { x ∈ Z: x is an integer multiple of 3 } 15 is  an integer multiple of 3. since 15/3=5. True

(c)∅ ⊂ A

∅ is a subset of any set. True

(d) A ⊆ A

A is a subset of itself. True

(e)∅ ∈ B

∅ is not an element, it is a subset, so it does not belong to any set. False

(f)A is an infinite set.

Yes, there are infinite integers multiple of 3. True

(g)B is a finite set.

No, there are infinite integers that are perfect squares. False

(h)|E| = 3

The number of elements that belong to E are 3. True

(i)|E| = |F|

The number of elements that belong to F are 3. So is the number of elements of E. True

7 0
3 years ago
Emily had some candy to give her five children.She first took two pieces for her self and then evenly divided the rest among her
kodGreya [7K]
She started with 17 pieces of candy
8 0
3 years ago
What are the steps to answer 28=8b+13b-35
oksian1 [2.3K]

Let's solve this problem step by step.

28=8b+13b-35

Step 1: Bring 35 to 28.

28=8b+13b-35

+35            +35

63=8b+13b

Step 2: Add 8b and 13b.

63=21b

Step 3: Divide both sides by 21.

63/21=21b/21

So, the answer for this problem is 3=b.

6 0
3 years ago
What is 1/8 divided by 3/4?​
nataly862011 [7]

Answer:

1 / 6 is the answer in fraction form and 0 . 16 as decimal form.

Step-by-step explanation:

1 / 8 ÷ 3 / 4

= 1 / 8 × 4 / 3

= 1 / 2 × 1 / 3

= 1 / 6

hope this answer will help you

6 0
3 years ago
What is 100,000,000 written as a power of ten?<br> a. 10^8<br> b. 10^9<br> c. 10^10<br> d. 10^11
Minchanka [31]
100,000,000 = 100 \times 10^6 = 1\times 10^8\\~~\underbrace{~~~~~~~~~~~~~~~}\\~~~~~~~~~8

Your answer is a. 10^8
7 0
3 years ago
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