Answer:
I subbed you're welcome
I need some help with this problem.
1 answer:
So we are dealing with a 30-60-90 triangle obviously. This is one of those triangles that always has the same ratio of their sides which means if you know one side length of a 30-60-90 you know all the sides.
I have attached a diagram of a 30-60-90 triangle below, we can use it to find the different sides
.
1. 2x =AB and x = BC, we know AB=14, since AB is two times as big as BC we know that BC = 7
2. Knowing BC equals 7 we can also say that x=7, since the diagram shows us AC = x times the square root of three we know that AC = 7 times the square root of 3.
3. If AB =16, 16 = 2x, and x=8, plug this into x times the square root of three to get AC, which equals 8 times the square root of three.
4. If AC equals 9 times the square root of three, we know that x=9. Side BC is simply x so BC = 9
I have attached a diagram of a 30-60-90 triangle below, we can use it to find the different sides
.
1. 2x =AB and x = BC, we know AB=14, since AB is two times as big as BC we know that BC = 7
2. Knowing BC equals 7 we can also say that x=7, since the diagram shows us AC = x times the square root of three we know that AC = 7 times the square root of 3.
3. If AB =16, 16 = 2x, and x=8, plug this into x times the square root of three to get AC, which equals 8 times the square root of three.
4. If AC equals 9 times the square root of three, we know that x=9. Side BC is simply x so BC = 9
You might be interested in
The complete formula for circumference is:
Since we know the circumference of the circle is 314 inches, we can then solve for d, the diameter:
Using 3.14 for pi, we get:
Then solve for d:
And now we know the diameter of the circle is 100 inches.
Answer:
C) See attachment.
Step-by-step explanation:
Given function:
To factor a <u>quadratic</u> in the form <em> , </em>find two numbers that multiply to
and sum to
:
Therefore, the two numbers are -5 and 4.
Rewrite as the sum of these two numbers:
Factor the first two terms and the last two terms separately:
Factor out the common term (2x - 5):
The x-intercepts are when the curve crosses the x-axis, so when y = 0:
Therefore:
So the x-intercepts are:
<h3><u>Part B</u></h3>
The x-value of the vertex is:
Therefore, the x-value of the vertex of the given function is:
To find the y-value of the vertex, substitute the found value of x into the function:
Therefore, the vertex of the function is:
Plot the x-intercepts found in Part A.
Plot the vertex found in Part B.
As the <u>leading coefficient</u> of the function is positive, the parabola will open upwards. This is confirmed as the vertex is a minimum point.
The axis of symmetry is the <u>x-value</u> of the <u>vertex</u>. Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is <u>symmetrical</u>.
Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).
