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madreJ [45]
3 years ago
11

Question 4

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

C = 23.5 in

Step-by-step explanation:

θ = 43°

The length of the side opposite to θ = 16 in.

Hypotenuse = DK

Apply trigonometric ratio, thus:

sin(θ) = opp/hyp

Plug in the values

sin 43 = 16/DK

Multiply both sides by DK

DK*sin 43 = 16

Divide both sides by sin 43

DK = 16/sin 43

DK = 23.5 (nearest tenth of an inch)

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Find the missing fraction _+1/16=3/2
Ganezh [65]

Answer:

23/16

Just set the missing fraction has X, and multiply the numerator and denominator of 3/2 by 8 so that it equals 24/16. This way you can isolate X and get x=23/16. It can't be simplified further, so that should be your final answer.

6 0
3 years ago
À television ser costs $350 cash. When
Arlecino [84]

Answer:

$45.

Step-by-step explanation:

When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.

Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.

Hope this helps!

8 0
4 years ago
Your DVD membership costs $16 per month for 10 DVD rentals. Each additional DVD rental is $2. a. Write an equation in two variab
Anarel [89]

Answer:

a. C(x) = $16, if 0 ≤ x ≤ 10

   C(x) = 2x - 4 if x > 10

b. Independent: Number of DVD rentals

   Dependent: Monthly cost of rentals

c. $26

Step-by-step explanation:

a. The cost (C) of renting 'x' DVDs is given by:

If 10 ≤ x ≤ 10

C(x) = $16

If  x > 10

C(x) = 16 + 2(x-10)

C(x) = 2x - 4

b. Since the cost depends on the number of DVD rentals, cost is the dependent variable and number of DVD rentals is the independent variable.

c. For x = 15:

C(15) = 2*15 - 4

C(15) = $26

It costs $26 to tent 15 DVDs in one month

5 0
3 years ago
The ratio of boys to girls in Mr. Johnsons after school club is the same as the ratio is the same to the ratio of boys to girls
maks197457 [2]

Answer:

18 GIRLS

Step-by-step explanation:

1. Lets write a fraction (4 boys/12 girls)

\frac{4  \\boys}{12 \\ \\girls}

2. Now lets plug the value in

\frac{6 \\boys}{x girls}

3. In the original equation, the amount of girls is 3 times the amount of boys

4. multiply 6 and 3 = 18

5. 18 girls

7 0
3 years ago
Read 2 more answers
12. On a table there were 16 dimes and quarters. The value of the coins was
7nadin3 [17]
6 quarters and 10 dimes
6 0
3 years ago
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