The first base matches the second height
The second base matches the first height
The third base matches the third height
<h3>Base and height of a triangle </h3>
From the question, we are to match the base to the corresponding height
In a triangle, the height of the triangle is perpendicular to the base.
Applying this in the given diagram,
The first base matches the second height
The second base matches the first height
The third base matches the third height
Learn more on Base and height of a triangle here: brainly.com/question/17154315
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Area of a triangle=bh/2
27= x(x-3)/2
27= (x^2-3x)/2
54= x^2-3x
x^2-3x-54=0
(x-9)(x+6)=0
x=9, x=-6.
In this case, x must equal 9 since the base cannot be a negative number.
Final answer: Height=6 m
Answer:
A.)D23
Step-by-step explanation:
Answer:
x=0.69897009
Step-by-step explanation:
expand by logarithms
10^x=5
=log(10^x)=log(5)
=x log(10)=log (5)
log base 10 of 10 is 1
x.l =log(5)
multiple bothside by 1
x=log(5)
x=0.6989709
Answer:
Step-by-step explanation:
There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.
We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:
which simplifies to
and
so
so that's the missing side. Now we can easily determine that
Now we have everything we need to fill in the identity for sin2θ:
and multiply all of that together to get
