The isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2.1 m?
Answers
Answer:
Equation used to solve for x is 2x + 2.1 = 7.5
The value equal sides of triangle is 2.7 m
Step-by-step explanation:
Given: The isosceles triangle has a perimeter of 7.5 m and the shortest side, y, measures 2.1 m.
We have to find the value of x.
Since y is shortest sides and the triangle given is isosceles thus the other two sides must be equal.
So, length of two equal sides is x.
Then equation becomes,
⇒ x + x + y = 7.5
⇒ 2x + y = 7.5
Substitute the values of y = 2.1 , and solve for x, we have
⇒ 2x + 2.1 = 7.5
Subtract 2.1 both side, we get,
⇒ 2x = 7.5 - 2.1
Divide both side by 2, we get,
⇒ x = 2.7
Thus, the value equal sides of triangle is 2.7 m.
So it says the shortest side, y, is 2.1m, so that means it's the side that is not the same length as the other two sides.
But the other two sides will be the same length. Let's make those 2 sides x.
The equation would be
x + x + 2.1 = 7.5
And with that you can find x.
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Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.A. 2.06B. –2.06C. 1.18D. 0.35
Answers
In the whole wide world of math, there is only one number that equals 19.
That number is . . . . . . . . . . wait for it . . . . . . . . . . 19 .
Answers
Answer:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or m = 2/3 - (π n_2)/18 for n_2 element Z
Step-by-step explanation:
Solve for m:
-cos(7 m + 2) sin(12 - 18 m) = 0
Multiply both sides by -1:
cos(7 m + 2) sin(12 - 18 m) = 0
Split into two equations:
cos(7 m + 2) = 0 or sin(12 - 18 m) = 0
Take the inverse cosine of both sides:
7 m + 2 = π n_1 + π/2 for n_1 element Z
or sin(12 - 18 m) = 0
Subtract 2 from both sides:
7 m = -2 + π/2 + π n_1 for n_1 element Z
or sin(12 - 18 m) = 0
Divide both sides by 7:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or sin(12 - 18 m) = 0
Take the inverse sine of both sides:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or 12 - 18 m = π n_2 for n_2 element Z
Subtract 12 from both sides:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or -18 m = π n_2 - 12 for n_2 element Z
Divide both sides by -18:
Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or m = 2/3 - (π n_2)/18 for n_2 element Z
Estimate by first rounding each number to the nearest 1/2.
A.4 cups
B.5 1/2
C.2 1/2
D.3 1/2
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6/11 ... 1/2
4 7/8 cups ... 5 cups
1/2 of 5 cups = 1/2 * 5 = 5/2 = 2 1/2 cups
The correct result would be C. 2 1/2.
Answers
If the mean is $12, her eighth earning was $10.
What is the data's Mean?
By dividing the total number of entries by the sum of the given numbers, the mean, or average, of the given data set is obtained.
To put it another way, the mean is equal to the sum of all the data divided by the total number of data.
Laura moved 8 Iawns. Her pay for seven lawns was $12, $10, $15, $15, $10, and $9.
Let's say she was paid $x for the eighth year.
being $12 on average
Using the formula, mean
=
=(86+x)/8
so, (86+x)/8=12
(86+x) =96
x =10
Hence, Laura earned $10 the eighth time.
To know more abοut mean of data
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Answers
To solve a problem, we often translate the given information into algebraic expressions and equations; in doing so, the variable (unknown value) is represented with a letter. For instance, the information, “6 less than twice a number" is translated to '2n – 6'.
correct.
9.3+5 = 32
99.3 + 5 = 302
999. 3+5 = 3002
9999.3+5 = 30002
Make a conjecture by predicting the correct numbers in the line below.
0-3+5 -0
Is the conjecture correct?
O A. Yes
OB. No
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Answer and explanation:
Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.
B. The conjecture 0-3+5 -0 is incorrect
Given the above sequence of computations, we use inductive reasoning to predict the next computation
The correct next conjecture is
99999.3+5= 300002
The next number in the sequence is predicted to be 300007, and the conjecture is confirmed to be correct.
To predict the next line in the sequence, we can observe that the pattern is adding a sequence of 2s at the end of each number. The first number ends with 32, the second with 302, the third with 3002, and the fourth with 30002. Following this pattern, the next number in the line would be 300002. Calculating the sum, we get 300002 + 5 - 0 = 300007.
Therefore, the conjecture for the correct numbers in the next line is 300007.
By performing the arithmetic, we can confirm that the conjecture is indeed correct, as the sum of 9.3 + 5 - 0 equals 14.3, which matches the predicted number.
Learn more about Inductive reasoning here:
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