By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.
<h3>How to find the missing side?</h3>
By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:
z² = x² + y²
Also, the sides of this right-angled triangle are:
- Opposite side = x inches.
- Adjacent side = 7 inches.
Substituting the given parameters into the formula, we have;
14² = x² + 7²
196 = x² + 49
x² = 196 - 49
x² = 147
x = √147
x = √49 × √3
x = 7√3 inches.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Alright, 14 oz. cup of coffee contains 20% milk. If you add 7 ounces to that mixture, your answer would be:
14 oz = 0.2 milk
+7 oz. = 28
28/14 = 2
0.2*2 = 0.4, written as a percent will be 40%
40% milk.
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream
Equation1 ---- x + y = 50 (the sum of all the ice creams they sell)
Equation 2 ---- 3x + 5y = 180 Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides. (I could have done subtracted x - it did not matter). Now we have x= ₋ y +50 (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50
3 (-y +50) + 5y = 180
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1 is x+y=50 we can replace y with 15
x + 15 = 50 Now subtract 15 from both sides x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5 = + <u>75
</u> $180
Answer:
0, -2, 2, -1
Step-by-step explanation:
You are trying to make it so that the one of the ( )= 0.
An example is (x+15) or (2x+3)
the first l one would be x= -15 since -15+15 would equal 0.
The second one is -3/2 since it would be -3+3 which would equal 0.
also since the equation starts with x( or -x it doesn't really matter) one of the zeros would also be 0.
Hope this helps!
The solution is as follows:
Set up the proportion:
70% - 98
90% - x
70% / 90% = 98 / x
7 / 9 = 98 /x
(7 / 9) x = 98
x = 98 x 9/7
x = 14 x 9
x = 126
The answer is <span>D. 126.
I hope my answer has come to your help. God bless and have a nice day ahead!</span>
