Answer: x=18, R=20 degrees,
sin Q=3/5
cos Q=4/5
tan Q=3/4
sec Q=5/4
csc Q=5/3
cot Q=4/3
Step-by-step explanation:
Distance formula: a^2+b^2=c^2
30^2=24^2+x^2
900=576+x^2
x^2=324
x=18
180=P+Q+R
180=90+70+R
180=160+R
R=20 degrees
sin Q=18/30=3/5
cos Q=24/30=4/5
tan Q=18/24=3/4
sec Q=30/24=5/4
csc Q=30/18=5/3
cot Q=24/18=4/3
The coordinates of the mid-point between points B and C is given by:
(-5, -10).
<h3>What is the mid-point concept?</h3>
The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.
The points in this problem are given as follows:
B(-40, -30), C(30, 10)
Hence the coordinates of the mid-point are:
More can be learned about the mid-point at brainly.com/question/10956693
#SPJ1
Answer:
Tricky question, but it would be a better deal if he wants extra ribbon, then he could but the 180 inch and get more for only $3.99. But if he wants to have the exact 8 feet ribbon, it would only be $3.12.
Step-by-step explanation:
complete question:
Danila breeds peregrine falcons. She recorded the breadth (in mm) of each egg and the mass (in g) of the falcon
chick that hatched from it.
After plotting her results, Danila noticed that the relationship between the two variables was fairly linear, so she
used the data to calculate the following least squares regression equation for predicting the mass of the chick
from the breadth of the egg:
y = -47 + 2x
What is the residual of a 29 g falcon chick who hatches from an egg with a breadth of 40 mm ?
Answer:
residual = -4
Step-by-step explanation:
Residual is the difference between the actual mass of the falcon chick and the predicted mass of the falcon chick.
residual = actual - predicted
The square regression is used to evaluate the predicted mass of the falcon chick.
actual mass = 29 g
Predicted mass can be gotten from the regression line.
y = -47 + 2x
y = -47 + 2(40)
y = - 47 + 80
y = 33
Predicted mass of 40 mm breadth of egg from the regression line = 33 g
residual = actual - predicted
residual = 29 - 33
residual = -4
If two ratios have the same value when simplified, then they are called Equivalent Ratios.
Equivalent ratios can be obtained by multiplying or dividing both sides by the same non-zero number.
As we want 3 equivalent ration in higher terms we will multiply it
4 : 7
by multiply with 2
4* 2 : 7* 2
8 : 14
by multiply with 3
4* 3 : 7* 3
2 : 21
by multiply with 4
4* 4 : 7* 4
16 : 28
you can multiply with any nonzero number
Hope this helped!
Have a great day!
