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san4es73 [151]
3 years ago
11

What is the value of x

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

x = 4 root square 3

Step-by-step explanation:

sin60° = x/8

x = 8×sin60° = 4 root square 3

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What line is parallel to 2x+5y=6 that goes through (5,3)
Anna11 [10]

Answer:

4y = x - 17

Step-by-step explanation:

First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = \frac{-2x}{5} + \frac{6}{5}  which make the gradient, m, the coefficient of x = \frac{-2}{5}  . Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)

Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where   y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)

y - 3 = \frac{1}{4}(x - 5); y - 3 = \frac{x}{4} - \frac{5}{4};  y = \frac{x}{4} - \frac{5}{4} +3

y = \frac{x}{4} - \frac{17}{4};  y = \frac{x-17}{4}  ;   4y = x - 17

7 0
2 years ago
There is enough grass to feed 5 cows for 8 days.
tigry1 [53]

Answer:

5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write each function in standard form.<br> y = 3(x - 2)2^2- 4​
galben [10]

Answer:

-4  

Step-by-step explanation:

7 0
3 years ago
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 80% antifreeze?
Georgia [21]

Answer:

The amount of water to be added is ¹/₄ gallon

Step-by-step explanation:

Given;

amount of pure antifreeze at 100% = 1 gallon

let the amount of water to be added with 0% antifreeze = (x) gallon

then, the amount of mixture at 80% antifreeze = (x + 1) gallon

For conservation of mass, we will have the following equation;

(1 x 1) + (0)(x) = 0.8(x +1)

1 = 0.8x + 0.8

0.8x = 1 - 0.8

0.8x = 0.2

x = 0.2 / 0.8

x = ²/₈

x = ¹/₄ gallon

Therefore, the amount of water to be added is ¹/₄ gallon

8 0
3 years ago
Josh is going to the store to buy candy. Bags of candy corn cost $3 and bags of chocolate cost $5. He needs to buy at least 20 b
tino4ka555 [31]

Answer:

x + y ≥ 20

3x + 5y > 60

Step-by-step explanation:

Let

Bags of candy corn = x

Bags of chocolate = y

Cost of bags of candy corn = $3

Cost of bags of chocolate = $5

He needs to buy at least 20 bags of candy and he cannot spend more than $60

system of linear inequalities to model the situation.

x + y ≥ 20

3x + 5y > 60

The system ot inequalities which models the situation

x + y ≥ 20

3x + 5y > 60

5 0
3 years ago
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