Answer:
? = 95 degrees
Use your complementary angles to solve for the missing angle. Remember a line is 180 degrees and any triangle whether its obtuse or acute it also equal 180.
Answer:
P(rolling five distinct values) = 1/3888
Step-by-step explanation:
We are told that I the fair sided dice, 6 is replaced with 5.
Thus,the numbers are now;
1,2,3,4,5,5.
This means a total of 6 possible numbers appearing.
Now, in these 6 numbers there are only 5 distinct numbers since 5 occurs twice.
P(1) = 1/6
P(2) = 1/6
P(3) = 1/6
P(4) = 1/6
P(5) = 2/6
Thus,probability of rolling 5 distinct values = 1/6 × 1/6 × 1/6 × 1/6 × 2/6 = 1/3888
Answer:
86.53
Step-by-step explanation:
Area of Triangle Formula: A = 1/2bh
Pythagorean Theorem: a² + b² = c²
Step 1: Draw altitude and label numbers
If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find <em>h</em> using Pythagorean Theorem in order to use area formula:
3² + b² = 29²
b² = 29² - 3²
b = √832 = h
Step 2: Plug in known variables into area formula:
A = 1/2(√832)(6)
A = 3√832
A = 86.5332
Answer:
$3.06
Step-by-step explanation:
First we need to calculate the mark up
The mark-up rate is 150% = 1.5 as a decimal
New price = original price + original price * markup rate
= 61.20 + 61.20* 1.50
= 61.20 + 91.80
= 153
The new price is 153.00
Commission is the price times his commission rate
commission = price* .02
= 153*.02
= 3.06
Neil will make 3.06 on the sale of the table
ANSWER:
$18.90
EXPLANATION:
3L of fuel for every 100km
450km = 13.5L
13.5 x 1.40 = $18.90
