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jaliyahmw
05.02.2020 •
Mathematics
In the circle shown below, ∠bac is a central angle, and r is the length of ab.
the area of the shaded sector is equal to 1/2r^2θ. which of the following must be true about the value of θ?
θ= the measure of ∠bac in degrees.
θ= the measure of ∠bac in radians
θ= the difference between 2π and the measure of ∠bac in radians
θ= the difference between 360 and the measure of ∠bac in degrees
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Ответ:
Ф = the measure of ∠BAC in radians
Step-by-step explanation:
∵ ∠BAC is a central angle
∴ The are of the sector will depended on the length of the radius r and the measure of the central angle Ф
If the measure of Ф in degrees
∴ The area of the sector = Ф°/360° (π r²)
If the measure of Ф in radians
∴ The area of the sector = 1/2 r² Ф
When to change from degree to radian you do that
Ф radian = Ф°/180 × π
∴ Ф/360 π r² = 1/2 (Ф/180 π) r² ⇒ ∵ underline is Ф radian
∴ Area sector = 1/2 r² Ф ⇒ Ф in radians
Ответ:
-1.973
Step-by-step explanation:
Given the data :
Age 36 39 48 53 58
Bone Density 358 351 330 325 314
Equation of regression line is in the form:
yˆ=b0+b1x
Where y = predicted variable ;
b0 = intercept ; b1 = slope or gradient ; x = predictor variable
Using The correlation Coefficient calculator :
The regression equation obtained is :
ŷ = -1.97316X + 427.94399
From the equation ;
The slope or gradient (b1) = - 1.97316
Hence, estimated slope to 3 decimal places is : - 1.973