Answer:
A
Step-by-step explanation:
272/64 = 4.25
4.25*48 = 204
Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points ![(0,3), (5,4),(10,5)...](https://tex.z-dn.net/?f=%280%2C3%29%2C%20%285%2C4%29%2C%2810%2C5%29...)
From these points we can find the slope of the line .
From point slope formula ![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
And assigning
and
![m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_1-y%7D%7Bx_1-x%7D%20%3D%5Cfrac%7B4-3%7D%7B5-0%7D%20%3D%5Cfrac%7B1%7D%7B5%7D%3D0.2)
This slope is also the speed of the bird which is ![0.2\ miles\ per\ minute.](https://tex.z-dn.net/?f=0.2%5C%20miles%5C%20per%5C%20minute.)
As by plugging the values of any coordinate point we can confirm this.
Lets put
, y-axis is the distance so in
minutes the the distance covered by the bird must be equal to to y-axis value which is
miles.
![y=0.2(x),y=0.2(10)=5\ miles](https://tex.z-dn.net/?f=y%3D0.2%28x%29%2Cy%3D0.2%2810%29%3D5%5C%20miles)
Now as in
the bird has started from y-intercept value
so we can say that,the original distance of the bird from its nest is
.
So the correct choices are:
and ![D](https://tex.z-dn.net/?f=D)
The birds speed is
per minute and is
away from its nest.
It's a vertical angle. Add the two angles 143+33=176
then divide by 2 , 176÷2=88
the answer is C. 88°
Answer:
253.520
Step-by-step explanation:
Let us see what is the thousandths place...
It is the third digit to the right.
253.5198 rounded is about
253.520.
I can tell because you take the thousandths place, look at the one to the right of it, then if it is greater than 5, you make the thousandths place greater. Since it's a 9, you move the extra 10 thousandths to the next thing- the hundredths. and you get 253.520.
Answer:
The answer to your question is FJ = 18
Step-by-step explanation:
Data
FG = 30
FH = 12
HE = 8
JH ║GE
These triangles are similar, so we can use proportions to find the length of FJ.
![\frac{FJ}{FH} = \frac{FG}{FH + HE}](https://tex.z-dn.net/?f=%5Cfrac%7BFJ%7D%7BFH%7D%20%3D%20%5Cfrac%7BFG%7D%7BFH%20%2B%20HE%7D)
Substitution
![\frac{FJ}{12} = \frac{30}{12 + 8}](https://tex.z-dn.net/?f=%5Cfrac%7BFJ%7D%7B12%7D%20%3D%20%5Cfrac%7B30%7D%7B12%20%2B%208%7D)
Simplification
![\frac{FJ}{12} = \frac{30}{20}](https://tex.z-dn.net/?f=%5Cfrac%7BFJ%7D%7B12%7D%20%3D%20%5Cfrac%7B30%7D%7B20%7D)
Solve for FJ
![FJ = 12 \frac{30}{20}](https://tex.z-dn.net/?f=FJ%20%3D%2012%20%5Cfrac%7B30%7D%7B20%7D)
Result
FJ = 18