Answer:
x=2√5
Step-by-step explanation:
<u>1st method:</u>
sin(30)=opposite/hypotenuse=√5/x
sin(30)x=√5
x=√5/sin(30)
x=2√5
<u>2nd method:</u>
cos(60)=adjacent/hypotenuse=√5/x
cos(60)x=√5
x=√5/cos(60)
x=2√5
<u>3rd method:</u>
This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5
Answer:
Number of total bees = 400
Step-by-step explanation:
He catches 100 bees from the hive and marks each one with a dye.
He later catches 60 and 15 were marked with the dye.
Its very to estimate from the data given.
I'll answer it with ratio.
We'll ratio number of bees with dye to total he caught the second day.
I.e 15:60 = 1:4
We'll multiply this ratio with the number he caught the first day to know the total.
1/4x =100
X = 100*4
X= 400
Where x is the total number of bees in the bee hive.
Answer:
3
Step-by-step explanation:
I think all the digits added together is 84 if I counted right which can be divided by 12 so the number can be divided by 3
Answer:
(x+5)(x+7)
Step-by-step explanation:
Let's factor x2+12x+35
x2+12x+35
The middle number is 12 and the last number is 35.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 12
Multiply together to get 35
Can you think of the two numbers?
Try 5 and 7:
5+7 = 12
5*7 = 35
Fill in the blanks in
(x+_)(x+_)
with 5 and 7 to get...
(x+5)(x+7)
Answer:
(x+5)(x+7)
Since it's perpendicular to the line with the slope 5, you take the reciprocal of 5 which is 1/5 and change the sign: -1/5. So you have the equation: y=-(1/5)+b. To find b you substitute x and y for the coordinate (10,8).
y=(-1/5)x+b
8=(-1/5)10+b
8=(-10/5)+b
8=-2+b
<u>+2 +2</u>
10=b
So your new equation is: y=<u>1x</u>+10
5
