The answer is c
Hope that helps
Answer: x =
5*sqrt(10)"sqrt" stands for "square root"
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Refer to the attached image. The figure is not to scale. Notice how I've added in y and z (blue and red respectively)
The length y is the bottom horizontal leg for the triangle on the right.
The length z is the bottom horizontal leg for the triangle on the left.
To find x, we need to find y first, which will help us find z, and then we can finally get to x.
Let's find y first
To do this, we use the pythagorean theorem
a^2 + b^2 = c^2
y^2 + 9^2 = 15^2
y^2 + 81 = 225
y^2 + 81-81 = 225-81
y^2 = 144
sqrt(y^2) = sqrt(144)
y = 12 ... keep in mind that y is a length, so it needs to be positive
Notice how the y and z lengths combine to form a total length of 25 units
Therefore,
y+z = 25
12+z = 25
12+z-12 = 25-12
z = 13
Now that we know z = 13, we can find x. Again we use the pythagorean theorem one last time
a^2 + b^2 = c^2
z^2 + 9^2 = x^2
13^2 + 9^2 = x^2
169 + 81 = x^2
250 = x^2
x^2 = 250
sqrt(x^2) = sqrt(250)
x = sqrt(250)
x = sqrt(25*10)
x = sqrt(25)*sqrt(10)
x = 5*sqrt(10)This is in simplest radical form as we can't factor 10 any further (there are no perfect square factors that go into 10). This is the exact length of side x
Note: using a calculator,
5*sqrt(10) = 15.8113883008419 approximately
Answer:
2+3n
Step-by-step explanation:
This question is based on a topic called sequence and series,under which we have the arithmetic progression
The formula for arithmetic progression is a+(n-1)d
In which a is the first number,n is the nth term and d is the difference
Back to the question
a=5,n=it's not given,d=3
Using the general formula
a+(n-1)d
5+(n-1)3
Open the bracket first
5+3n-3
Collect like terms
5-3+3n
2+3n
The answer is 2+3n
And it can be solved further only if we are given the value of n...the question even stated that we should solve in terms of n
Therefore the answer is 2+3n
First, we have to solve the sides of the right triangle by using the Pythagorean theorem: a² + b² = c² where c is the length of the hypotenuse. Then, we can use the legs as length and height of the triangle and find the area by 1/2(base x height).
x² + 60² = 68²
x² + 3600 = 4624
x² = 1024
x = √1024
x = 32 = length of the other side
A = (1/2)(32) (60) = 960 mm²
Answer: B
Step-by-step explanation:
I used heron's formula.