Answer:
<em>The percent error of the cyclist's estimate is 5.63%</em>
Step-by-step explanation:
<u>Percentages</u>
The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.
The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:
Error = 80 miles - 75.5 miles = 4.5 miles
To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:
Error% = 4.5 / 80 * 100 = 5.625%
Rounding to the nearest hundredth:
The percent error of the cyclist's estimate is 5.63%
We know that
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
(2x-5)+(4x-1)+30=180
6x+24=180
6x=156
x=26°
the answer is
x=26°
Answer:
(x - 8)(2x + 3)
Step-by-step explanation:
To factor a polynomial of the form
ax² + bx + c,
follow these steps:
1) Multiply ac together.
2) Find 2 factors of ac that add to b. Call these factors p and q.
3) Break up the middle term of the polynomial into px + qx.
4) Factor by grouping.
Now let's follow the steps above with your problem.
You are given the polynomial
2x² - 13x - 24,
so a = 2, b = -13, and c = -24
1) Find ac.ac is the product 2(-24) = -48
2) Now we need to find 2 factors of -48 that add to b, -13.
I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have
-16 + 3 = -13
and -16 × 3 = -48.
3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.
The polynomial is now
2x² - 16x + 3x - 24
4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.
2x² - 16x + 3x - 24 =
= 2x(x - 8) + 3(x - 8)
We now see the common factor of x - 8, so we factor that out.
= (x - 8)(2x + 3)
Answer: (x - 8)(2x + 3)
Answer:
49.12 square inches
Step-by-step explanation:
Area of a circle = Pi x r^2
= 3.14 x 4^2
= 3.14 x 16
= 50.24
Half the circle = 25.12 squared inches
Area of a triangle = base x height /2
= 6 x 8 /2
= 24
25.12 + 24 = 49.12 square inches
Answer:
Alrighty so number one is <em>5
z (x + 2y)</em>, and number two is <em>13x + 19y - 34z</em>
