(2.3 x 10^3)(4.0 x 10^5) =
2300 * 400000 = 920,000,000 or 9.2 x 10^8
or
(2.3 * 4.0)(10^3 * 10^5) =
9.2 * 10^8 = 920,000,000
Answer:
2 = (2/3)*(6)+b
2 = 4+b
b= -2
so slope intercept form is y = (2/3)x -2
To find the point slope form, simply plug in m and the point given.
y-2 = (2/3)*(x-6)
Step-by-step explanation:
Answer:
<1 = 107°
<7= 92°
Explanation:
<h2>
What is a hexagon?</h2>
A hexagon is a type of polygon with six sides, six vertices and six angles. It's two dimensional and closed as well.
<h3>Finding the missing angles:</h3>
Note:
<h3>Angles on a straight line equal 180°</h3>
Therefore,
88° + <7 = 180°
Subtract 88° from bothsides
88° - 88° + <7 = 180°- 88°
<7 = 92°
164° + < 6 = 180°
subtract 164° from bothsides
164° + < 6 = 180°
164° - 164° + < 6 = 180°- 164°
< 6 = 16°
118° + < 4 = 180°
subtract 118° from bothsides
118° - 118° + < 4 = 180 - 118°
< 4 = 62°
To find angle2
Note:
<h3>Sum of exterior angles of a polygon is equal 360°</h3>
64° + 62° + 57° + <2 + 88° + 16° = 360
combining like terms
64° + 62° + 57° + 88° + 16° + <2 = 360°
287° + <2 = 360°
subtract 287° from bothsides
287°- 287° + <2 = 360° - 287°
<2 = 73°
Calculating for angle 1
< 1 + 73° = 180°
Subtract 73° from bothsides
<1 + 73° - 73° = 180 - 73°
<1 = 107°
Therefore,
< 1 = 107°
< 7 = 92°
Answer:
3 x^3 y^4 sqrt(5x)
Step-by-step explanation:
sqrt(45x^7y^8)
We know that sqrt(ab) = sqrt(a)sqrt(b)
sqrt(45)sqrt(x^7) sqrt(y^8)
sqrt(9*5) sqrt(x^2 *x^2 * x^2* x) sqrt(y^2 *y^2 *y^2 *y^2)
We know that sqrt(ab) = sqrt(a)sqrt(b)
sqrt(9)sqrt(5) sqrt(x^2)sqrt(x^2) sqrt(x^2) sqrt(x) sqrt(y^2)sqrt(y^2)sqrt(y^2)sqrt(y^2)
3 sqrt(5) x*x*x sqrt(x) y*y*y*y
3 x^3 y^4 sqrt(5)sqrt(x)
3 x^3 y^4 sqrt(5x)
Answer:
=64 ft
Step-by-step explanation:
The wire, the pole and the flat surface form a right triangle with a base angle of 40°. The pole is the height of the triangle and is opposite the angle 40°.
Therefore we can use the trigonometric ratio -sine of the angle 40° -to find the height.
Sin∅ =opposite/hypotenuse
opposite=hypotenuse × sin∅
=100ft × Sin 40°
=64.28ft
≅64 ft