Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
Zach made a batch of cookies with 2/7 of a pound of butter and 2/9 of a pound of sugar. How much more butter than sugar was used
2 answers:
Quantity of butter = 2/7 pounds
Quantity of sugar= 2/9 pounds
Now we have to find the difference here.
First finding lcd of 7 and 9 , we have 9*7 =63
lcd is 63
Now converting each fraction into lcd form,
Quantity of butter = 2/7 pounds
Quantity of butter = 18/63
Quantity of sugar= 2/9 pounds
Quantity of sugar = 14/63
Difference = 4/63
Answer : 4/63 pounds of more butter was used.
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Given:
Americans who are 65 years of age or older make up 13.2% of the total population.
Required:
The total u.s. population
Explanation:
Let the total population of u.s be x.
According to the given condition.
Therefore,
Answer:
Thus the total population of u.s is 229.55 billion.
So if the height is going to be 20ft, that means 20 = 2+35t-16t²
9514 1404 393
Answer:
(b) -36
Step-by-step explanation:
Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)
This table shows the remainder, which is f(-2), is -36.
__
The equation itself can be rewritten in "Horner form" to facilitate evaluation.
f(x) = (((-x +2)x -1)x +4)x +8
In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.
f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8
= (((4)(-2) -1)(-2) +4)(-2) +8
= ((-9)(-2) +4)(-2) +8
= (22)(-2) +8
= -36
f(-2) = -36 . . . . remainder from synthetic substitution
