Answer: 86.5 in²
Step-by-step explanation: Circumference is2·pi·r= 32.97 in.
Radius r = 32.97 in/ 2pi = 5.247 in. Area is pi·r²
Step-by-step explanation:
Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).
\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}
ES
=(4;4)−(4;−3)=
(0;7)
\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}
EJ
=(−5;−4)−(4;−3)=
(−9;−1)
cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=
∣
EJ
∣∗∣
ES
∣
ES
∗
EJ
cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;
a = 96,34°
Solution: 96 degrees.
Easiest would be just crosscheck 1 by 1,
like, first check for flour, he has 15 cups, i.e. 15/2.5 = 6 cups can be made.
then come to sugar, sugar per cup (if he wants to make 6 cups of recipe) = 16/6 = 2+2/3 (what he has), but he need 2+3/4; so not available.
<span>So, ans =5</span>
When a number with a power is given another power, the powers multiply. Thus,
(2^t)⁸
Answer:
4
Step-by-step explanation:
To begin with, convert both fractions into improper fractions:
and 
.
Then convert the first fraction to ninths in order to add the two:
.
Then we add the two:
