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liubo4ka [24]
3 years ago
13

Find the variable of each ............

Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer:

The answer is option d.

To find a we have to first find b

sin 60° = b / 10

b = 10 sin 60°

b = 5√3

sin 30° = b / a

b = 5√3

a = 5√3 sin 30°

a = 10√3

cos 30° = c / a

a = 10√3

c = 10√3 sin 30°

c = 15

cos 60° = d /10

d = 10 cos 60°

d = 5

a = 10√3 , b = 5√3 , c = 15 and d = 5

Hopethis helps.

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CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU
Elza [17]

Answer:

120 magazines

Step-by-step explanation:

to get how many 1/7 is you need to divide 120 by 7

210/7=30

now you need to know what 4 sevenths is

30x4=120

so 4/7 of the magazines is 120

(please make sure to rate and thank)

5 0
2 years ago
You want to save $500 for a school trip. You begin by saving a penny on the first day. You save an additional penny each day aft
irga5000 [103]

Answer:

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

a = 1 penny = 1/100 = $0.01

d = 0.01

a) For 100 days, the sum of the first 100 terms, S100 would be

S100 = 100/2[2 × 0.01 + (100 - 1)0.01]

S100 = 50[0.02 + 0.99)

S100 = 50 × 1.01 = $50.5

b) when Sn = $500, then

500 = n/2[2 × 0.01 + (n - 1)0.01]

Multiplying through by 2, it becomes

500 × 2 = n[2 × 0.01 + (n - 1)0.01]

1000 = n[0.02 + 0.01n - 0.01]

1000 = n[0.01 + 0.01n]

1000 = 0.01n + 0.01n²

0.01n² + 0.01n - 1000 = 0

Applying the general formula for quadratic equations,

x = [-b±√(b² - 4ac)]/2a

n = - 0.01±√0.01²-4(0.01 × - 1000)]/2 × 0.01

n = (- 0.01 ± √40.001)/0.02

n = (- 0.01 + 6.32)/0.02 or

n = (- 0.01 - 6.32)/0.02

n = 315.5 or n = - 316.5

Since n cannot be negative, then n = 315.5

It will take approximately 316 days to save $500

6 0
3 years ago
Solve m/26=-1/2 '''''''''''''''''''''''
trapecia [35]

Answer:

m= -13

Step-by-step explanation:

step1:  left part times 26 is   m

step2: right part times 26 is -13

so m= -13

6 0
3 years ago
Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.
Margaret [11]

Answer:

The true statements are A and D

Step-by-step explanation:

4 (3(3) + 4) is 52, while 16(3) + 12 is 60

that would not be equivalent in w = 3 but it would in w = 1

6 0
2 years ago
Read 2 more answers
Use the discriminant to find all values of b for which the question has one real solution.
Arada [10]
Use the formula 0 = b^2-4ac

0 = -b^2-4(2)(-9)

0 = -b^2+72

b^2 = 72

b = square root of 72

b = 2 real numbers
4 0
3 years ago
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