Answer:
6 2/3 ft by 8 1/3 ft
Step-by-step explanation:
So the room will be 80 inches by 100 inches
( 1 inch ----> 20 inches
so 4 inches ----> 80 inches )
Answer:
24
Step-by-step explanation:
draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps
You can set up a proportion to solve for the percentage of the coins that are pennies. Of course, there are alternate methods as well, but this is one method. First, you define the percentage of the coins that are pennies to be equal to a variable, such as x. Next, you write 240/600 = x/100, due to how "x" is the amount out of 100 (since per cent is for every cent (out of 100)), and 240 would correspond to x while 600 would correspond to 100. This proportion may also be written as 100/x = 600/240, or 240/x = 600/100. In order to solve for x, you use cross-products, or you multiply each denominator by the numerator of the other fraction. You will be left with a numerical value that's equal to a number times x, and then you divide both sides of the equation by the coefficient of x in order to isolate x. As a result, you will have the percentage of the coins that are pennies to be your answer. Remember to write the units for every numerator and denominator in your proportion.
Answer:
1)107
2)43
Step-by-step explanation:
Triangles interior angles add up to 180 degrees. In the first one, the first two angles are 31and 42, and if interior angles add up to 180, the equation should be 31+42+x=180 x=107.
Second one is hardes. A square means a right angle, or 90 degrees. 180-90 is 90. Next, we have the two angles x, and x+4 We know that triangles interior angles add up to 180 degrees, so x+x+4+90=180 2x+94=180 2x=86 x=43
Hope this helps :D Please mark brainliest if correct :D
