Answer:
287.1 inches of the canvas.
Step-by-step explanation:
To solve this, we need to first figure out the total area of the canvas. To do that, multiply width by height.
29*33=957
Now set up your equation for solving for the area of the canvas that the rose covers.
x/957=30/100
We did it where: x is the area of the rose covers, 957 is the amount of inches that the canvas takes up, and the right side of the equation is the percent.
Now cross multiply.
100x=28,710
Now divide both sides by 100.
x=287.1
The red rose covers 287.1 inches of the canvas.
Answer:
1. $155 ≥ $31.50p + $13.25
2. p ≤ 4
Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have

This value also equals by bigger triangle as

From these two we get
h = height of street light =
The distance from the sun is option 2 5.59 astronomical units.
Step-by-step explanation:
Step 1; To solve the question we need two variables. P which represents the number of years a planet takes to complete a revolution around the Sun. This is given as 13.2 years in the question so P = 13.2 years. The other variable is the distance between the planet and the sun in astronomical units. We need to determine the value of this using the given equation.
Step 2; So we have to calculate the value of 'a' in Kepler's equation. But the exponential power
is on the variable we need to find so we multiply both the sides by an exponential power of
to be able to calculate 'a'.
P =
,
=
,
= a,
= a = 5.58533 astronomical units.
Rounding it over to nearest hundredth we get 5.59 astronomical units.
Answer:
1/3
Step-by-step explanation:
The slope increases by 1/3.
The slope formula is y2-y1/x2-x1.
When you plug in the points and simplify, you get 1/3.