Answer:
5040a^2b^2
Step-by-step explanation:
(3a2b7)(5a3b8)
(42ab)(120ab) multiply everything inside each parenthensis
42ab * 12ab remove parenthesis
5040a^2b^2 multiply
Product of 7 which is an odd number is 49 and another odd number is 9 and the product of 9 is 81
Multiple of 2 is 2,4,6,8,10,12,14,16,18,20,22
Answer:
Question 5: y = 6.69 ft
Question 6: z = 12.52 in
Step-by-step explanation:
<u>Question 5</u>
In the right triangle shown, with respect to the angle given, y is the side that is "opposite" and the known side (15) is the "hypotenuse".
Note: The side opposite of right angle is the hypotenuse
Which trigonometric ratio relates "opposite" and "hypotenuse"? It is "SINE".
Let's setup the ratio and solve for y:
So,
y = 6.69 feet
<u>Question 6</u>
With relation to the angle given, we have the "adjacent" side and the "hypotenuse".
Which trigonometric ratio relates "adjacent" with "hypotenuse"?
<em>It is COSINE!</em>
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We can set up a ratio as the previous question and solve for z:
So,
z = 12.52 inches
Answer:
y = - 2x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = - 12 + c ⇒ c = 5 + 12 = 17
y = - 2x + 17 ← equation of line
Answer:
Step-by-step explanation:
number of members=22
mean age=19 years
Total age of 22 members=22×19=418 years
age of new members=17 years and 30 years
Total age of 24 members=418+17+30=465 years
mean=465÷24=19.375 years