Answer:
It is given that in triangle XYZ, XY = 13, YZ=20, and XZ=25.Using the law of cosines, we have
CosC=\frac{a^2+b^2-c^2}{2ab}
cosZ=\frac{(YZ)^2+(XZ)^2-(XY)^2}{2(YZ)(XZ)}
CosZ=\frac{(20)^2+(25)^2-(13)^2}{2(20)(25)}
CosZ=\frac{400+625-169}{1000}
CosZ=\frac{856}{1000}
CosZ=0.856
Z=cos^{-1}(0.856)
Z=37.13^{\circ}
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
the greatest common factor is 8 so you know you have to have 8 rows, divide all of those number by 8 and add the answers
Answer:
0.75 or 3/4 cups
Step-by-step explanation:
Make a proportion
We need 1 1/4, or 1.25 cups of sugar for 20 cookies, and we need x cups of sugar for 12 cookies
1.25/20=x/12
To solve, we need to get the variable,x, by itself. It is being divided by 12. To reverse this, multiply both sides by 12.
12(1.25/20)=(x/12)12
The 12s on the right will cancel, and we are left with
0.75=x
0.75 is equivalent to 3/4
So, 0.75 or 3/4 cups of sugar is needed to make 12 cookies
The question is incomplete. The complete question is :
One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three other brands of similar all-bran cereals. The company's research office wants to investigate if the percentage of people who consume all-bran cereal is the same for each of these four brands. Let us denote the four brands of cereal by A B C and D. A sample of 900 persons who consume all-bran cereal was taken, and they were asked which brand they most often consume. Of the respondents, 201 said they usually consume Brand A, 224 consume Brand B, 299 consume Brand C, and 176 consume Brand D. Does the sample provide enough evidence to reject the null hypothesis that the percentage of people who consume all-bran cereal is the same for all four brands? Use alpha = 0.025. Find the value of the test statistic x^2. x^2 = the tolerance is +/-2% Using alpha = 0.025, can you conclude that the current percentage distribution is different from the hypothesized one? We conclude that the current percentage distribution from the hypothesized one.
Solution :
A B C D Total
201 224 299 176 900
225 225 225 225


We reject 
level

are not equal.
The distribution is multinomial hypothetical distribution.
Hello There!
It is Arithmetic.
Hope This Helps You!
Good Luck :)