Answer:
1:2
Step-by-step explanation:
There are 5 square numbers and 10 prime numbers between 1 and 30 so this is what you will do:
1:Since you said square numbers to prime numbers, you start with the total number of square numbers which is 5
2:Then you put a colon and put the total number of prime numbers which is 10 after it ,which the answer will be 5:10
3:Now you have to simplify it, since 5 can go into itself and 10, the answer will be 1:2
Therefore, it will be 1:2
The simplified form is: =4p2−18p+8
Step by Step:
(4p−2)(p−4)
=(4p+−2)(p+−4)
=(4p)(p)+(4p)(−4)+(−2)(p)+(−2)(−4)
=4p2−16p−2p+8
=4p2−18p+8
It just means 8 x 45.
4
45
x8
360
The answer is 360.
Answer:
2
Step-by-step explanation:
let (-4,0) be (x1,y1) and (-5,3) be (x2,y2)
slop formula = <u>y2-y1</u>
x2-x1
=(3-0)+(-5-(-4))
=3+(-5+4)
=3+(-1)
=3-1
=2
Answer:
58°
Step-by-step explanation:
A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.
The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.
Sin = Opposite/Hypotenuse
sin(α) = (85 ft)/(100 ft) = 0.85
The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:
α = arcsin(0.85) ≈ 58.2°
The angle of elevation is about 58°.
_____
When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).