Answer:
1.) X = 7 and Y = 5
2.) 5 streamers
Step-by-step explanation:
According to the question, you are given the inequality equation of
2.5x + 3.5y < = 35
Since the equation is less than or equal to, than means that the equation can be 2.5x + 3.5y = 35
According to the graph,
X = 14 and Y = 10
Substitute both into the equation if it will not exceed 35
2.5(14) + 3.5(10) = 35
35 + 35 = 70. This is wrong.
Take the half value of both x and y and substitute again
X = 7 and Y = 5
2.5(7) + 3.5(5)
17.5 + 17.5 = 35
Therefore, she can buy 7 helium - filled balloons and 5 streamers
2.) If Julie buy 6 ballons, substitute x for 6 in the inequality equation to find y
2.5(6) + 3.5y < = 35
Open the bracket
15 + 3.5y < = 35
Collect the like terms
3.5y <= 35 - 15
3.5y <= 20
Make y the subject of formula
Y <= 20/3.5
Y < = 5.7
We can therefore conclude that she can buy 5 streamers. Or 5 1/2 if possible.
Answer:
1.A
2.A
3.C
4.D
5.A
6.A
7.D
8.B
9.A
10.C
Step-by-step explanation:
PA BRINLY TEST PLSSS
These problems are solved using the trigonometric function. Trigonometric functions provides the ratio of different sides of a right-angle triangle.
<h3>What are Trigonometric functions?</h3>
The trigonometric function refer to function that are periodic in nature and which lend insight to the relationship between angles and the sides of a triangle that is right angled.
The solutions to x in the respective problems is given as follows:
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) It is to be noted that for right-triangle that is isosceles in nature, 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 at:
brainly.com/question/1143565
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The answer is A (360/53=6.8)