With base-ten blocks ,there would be the 3 units, 1 tens block , and five hundreds cubes
Answer:
Step-by-step explanation:
Remark
Simple answer: you can't. I mean that you can't try to use 4 numbers, but you can solve the problem. You are going to have to redraw the diagram on another sheet of paper. Follow the directions below.
Directions for diagram extension.
Go to the right hand end of the 10 unit line.
Draw a line from the intersection point of the 10 unit line and 12 unit line
Draw this line so it is perpendicular to the 18 unit line. That will mean that the new line is parallel (and equal) to x
Mark the intersect point of the new line and the 18 unit line as B
Mark the intersect point of the 18 point line and the 12 unit line as C
Given and constructed
BC = 18 - 10 = 8
BC is one leg of the Pythagorean triangle.
The new x is the other leg of the Pythagorean triangle.
12 is the hypotenuse.
Formula
x^2 + 8^2 = 12^2
x refers to the new x which is equal to the given x
Solution
x^2 + 64 = 144 Subtract 64 from both sides
x^2 +64 - 64 = 144-64 Combine
x^2 = 80 Break 80 down.
x^2 = 4 * 4 * 5 Take the square root of both sides
x = 4*sqrt(5)
Comment
If you want the area it is 4*sqrt(5)(10 + 18)/2 = 56*sqrt(5)
Answer:
Airspeed in still air: 140 mph
Step-by-step explanation:
Let s represent the speed in still air. Recognize that the distance traveled is the same in either direction.
Also note that SF is north of LA.
Distance to SF from LA = Distance to LA from SF
(s-20)(mph)(4 hr) = (s+20)(mph)(3 hr)
Then:
4s - 80 = 3s + 60 => s = 60 + 80 + 140 (mph)
The airspeed of the plane was 140 mph in still air. With a tail wind, the plane is faster; with a headwind, slower.
Answer:


Step-by-step explanation:
a. Area is calculated by summing the areas of the prism's individual surfaces.
#First, calculate the areas of the right-angled surfaces:

#We then find the areas of the rectangular surfaces:

#We sum the areas to find the total surface areas:

Hence, the prism's surface area is 
b.Area is calculated by summing the areas of the prism's individual surfaces.
#First, calculate the areas of the right-angled surfaces:

#We then find the areas of the rectangular surfaces:

#We sum the areas to find the total surface areas:

Hence, the prism's surface area is 
Answer & Step-by-step explanation:
Slope-intercept form:

m is the slope and b is the y-intercept. Insert the given slope:

To find the y-intercept, take the given coordinate point and insert:

Solve for b:
Simplify multiplication:

Subtract 45 from both sides:

The y-intercept is -50. Insert:


Use the slope formula for when you have two points:

The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:


The slope is
. Insert:

Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:

Solve for b:
Simplify multiplication:

Re-insert:

Subtract b from both sides:

Subtract 4 from both sides:

Simplify subtraction:

Re-insert:

Divide both sides by -1 to make the variable positive (can be seen as -1b):

The y-intercept is
.
Write the equation:

:Done