Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You're given an angle, the adjacent side to that angle, and the hypotenuse. So use cosine.
Cosine = Adjacent / Hypotenuse
cos 37° = 48 / x
Multiply both sides by x.
x cos 37° = 48
Divide both sides by cos 37°.
x = 48 / cos 37°
If desired, use a calculator to evaluate.
x ≈ 60.1
Answer:
numbers
Step-by-step explanation:
numbers
Step-by-step explanation:
"In three years, Tonya will be 17."
14 + 3 = 17, so Tonya is 14 atm. (At The Moment)
"Tonya is twice Kevin's age." Kevin is 7, because 7 x 2 = 14.
"In another three years, Uncle Rob will be three times Tonya's age."
Since Tonya is 14, multiply 14 x 3 and you get 42.
If you're asking for the three years, 17 x 3 = 51 < Uncle Rob's age
Kevin is about 8 1/2 years old. Since 8 x 2 = 16, I multiplied 8 1/2 x 2 and got 17.
I hope this helped.
Answer:
89.84375
Step-by-step explanation:
Given that on a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93.
To find weighted mean.
Here weights can be considered as number of majors in each subject
Weighted total = 1350+595+930 = 2875
Weighted mean = weighted total/total students
Answer:
95%
Step-by-step explanation:
About 95% of the area is within two standard deviation in standard normal distribution. This can be explained by finding the probability within 2 standard deviation using standard normal distribution.
P(z1<Z<z2)=P(-2<Z<2)
P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)
P(-2<Z<2)=0.4772+0.4772
P(-2<Z<2)=0.9544
Thus, About 95% of the area is between z2 and z2