Answer:
x = 5, y = 2
Step-by-step explanation:
First, isolate y in the top equation.
Next, substitute y in the bottom equation.
Simplify.
Combine like terms.
Isolate x on one side.
Isolate x.
Substitute x into
Simplify.
Isolate y.
Answer:
EF = 6.6
Step-by-step explanation:
Since ABCD is similar to EFGH, then EH is similar to AD. So, we can solve by first dividing 12 by 2 (EH by AD). The quotient of this is 6. This tells us that quadrilateral EFGH is 6 times larger than quadrilateral ABCD, since they are similar. So, with this and the measurement of AB (which is similar to EF), we can now solve for EF. We simply multiply 1.1 (the measurement of AB) by 6 (how many times larger EFGH is compared to ABCD). The product of this is 6.6, our final answer.
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,
Sin(θ) = Perpendicular/Hypotenuse
Sin(79°) = 80 meter/Length of the wire
Length of the wire = 81.4973 ≈ 81.5 meters
Hence, the length of the wire is 81.5 meters.
Learn more about Sine:
brainly.com/question/21286835
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Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them. How many more shirts does she have for her ?
Answer:
The number of T-shirt that Maya will have after donating 40% is 22 shirts
Explanation:
Given:( as per the above data provided)
Total number of T-shirts = 55
Percentage of T-shirts she wish to donate = 40%
To find:
Remaining number of T-shirt left after donating?
Formula to be used:
Remaining T shirt = (Total number of T-shirt /100) X The Percentage of T-shirt she wish to donate
Steps:
Substituting all the above provided values in the formula we get,
= (55/100)*40
= 22 shirts.
Thus the number of T-shirts left with her is 22.
Answer:
The graph is wider and is reflected across the x axis.
Step-by-step explanation:
See attached image.
