Answer:
{-4,-1,1,4,7,8,15,18}
Step-by-step explanation:
The range of this function is a universal set that contains all elements of each set
And is;
{-4,-1,1,4,7,8,15,18}
The vertices of the triangle are the points where any pair of lines intersect.
We start by setting up the system
Using one of the two equations we can derive the correspondent y value:
So, one vertex is (1, 1)
We choose the other two pairs of lines to find the other vertices:
So, the three vertices are (1, 1), (2, 0), (-1, -3).
Answer:
28 ounces = 793.79 grams
28 ounces = 0.79 kilograms.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Conversion a mixed number 3 3/
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4
To find new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4
b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.
Three and three quarters is fifteen quarters
Multiple: 7/
3
* 15/
4
= 7 · 15/
3 · 4
= 105/
12
= 35 · 3/
4 · 3
= 35/
4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(105, 12) = 3. In the next intermediate step, , cancel by a common factor of 3 gives 35/
4
.
In words - seven thirds multiplied by fifteen quarters = thirty-five quarters.
Compare: the result of step No. 3 vs 35/
4
= 35/
4
vs 35/
4
= 35 vs 35 = Yes
1) Draw a right triangle with these measures:
angle with the horizontal: 6 degress
horizontal segment: 5
height: x
2) Definition of tangent : tan(6°) = opposite leg / adjacent leg = x / 5 =>
3) Solve for
x = 5tan(6°) = 0.53 miles
Answer: 0.53 miles
