Let the number of dimes = xLet the number of quarters = y You know that each dime is worth $0.10You know that each quarter is worth $0.25 Using the variables above, we can write two equations that represents the total number of coins and total amount. x + y = 47 eq10.10x + 0.25y = 8 eq2 You can use the substitution/elimination method to solve for x and y.<span>3/6/2017 </span>| Michael J.<span>
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The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.
<h3>What are Trigonometric functions?</h3>
The trigonometric function gives the ratio of different sides of a right-angle triangle.
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°) = 3√3 / x
x = 3√3 / 3
W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3 = 4√3 / 3
S) Sin(60°) = x / (10/3)
x = 5√3 / 3
Learn more about Trigonometric functions:
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Answer:
2
Step-by-step explanation:
She wants 25she divides each by 12 to get for 1 person then multiplies by 25 to get for 25 peoplemulitply each ingredient by 25/12
for multiplying fractions, try to put them in standard a/b form first
flour1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 cup flour
baking powder1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 tsp baking powder
salt1/2 times 25/12=25/24=24/24+1/24=1+1/24=1 and 1/24 tsp salt
butter1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 stick of butter
sugar
1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 cup of sugar
eggs3 times 25/12=3/1 times 25/12=75/12=25/4=24/4+1/4=6+1/4=6 and 1/4 eggs
vanilla extract
1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 tsp vainlla extract
milk3/4 times 25/12=75/48=25/16=16/16+9/16=1+9/16=1 and 9/16 cup milk
for 25 servings
she needs
3 and 1/8 cup flour
2 and 1/12 tsp baking powder1 and 1/24 tsp salt2 and 1/12 stick of butter2 and 1/12 cup of sugar
6 and 1/4 eggs3 and 1/8 tsp vanilla extract1 and 9/16 cup milk
