Given: FKLM is a trapezoid, KL = 26 FM = 49, FK = 10, m∠F = 48º Find: Area of FKLM
1 answer:
Answer:
Area of the trapezoid is 278.63 square units.
Step-by-step explanation:
In this question figure of the trapezoid is not given;
If the figure is same as figure attached,
FKLM is the trapezoid having
Side FK = 10 units
KL = 26 units
m∠F = 48°
Now in ΔKFP,
sin48° =
0.7431 =
PK = 7.43 units
Now area of the trapezoid FKLM =
=
= 278.63 square units
Therefore, area of the trapezoid will be 278.63 square units.
You might be interested in
Answer:
The 33 week gestation period baby has a zscore of -0.47.
The 41 week gestation period baby has a zscore of -0.94.
The 41 week gestation period baby weighs less relative to the gestation period.
Step-by-step explanation:
Normal model problems can be solved by the zscore formula.
On a normaly distributed set with mean and standard deviation
, the z-score of a value X is given by:
The zscore represents how many standard deviations the value of X is above or below the mean . This means that the baby with the lowest Zscore is the one who weighs relatively less to the gestation period.
33 week gestation period baby:
Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 900 grams, so .
A 33-week gestation period baby weighs 2275 grams. So .
41 week gestation period baby:
Babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 450 grams, so
A 41-week gestation period baby weighs 2775 grams, so .
The 41 week gestation period baby weighs less relative to the gestation period, since he has a lower zscore.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.
<h3>What are Trigonometric functions?</h3>The trigonometric function gives the ratio of different sides of a right-angle triangle.
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The sum of all the angles can be written as,
∠A + ∠B + ∠C = 180°
90° + 62° + ∠C = 180°
∠C = 28°
Sin(∠B) = AC/BC
Sin(∠B) = b/8
b = 8 × Sin(62°)
b = 7.06
Cos(∠B) = AB/BC
Cos(∠B) = c/8
c = 8 × Cos(62°)
c = 3.76
Hence, the measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.
Learn more about Trigonometric functions:
#SPJ1