Answer:
117 
Step-by-step explanation:
First think of the square that was removed. All 4 sides are equal but you don't know the length so lets gives them the variable X.
So to find the area of the rectangle, insert those variables into the area equation for a rectangle.
(RV + (X) ) (PT +(X)) = rectangle area
Now you are given what the area is if you remove the square. So subtract the the square's area from the equation above and set it equal to the size they told you.
(RV + (X)) (PT + (X)) - [(X)(X)] = 92
rectangle - square = remaining area
Now plug in the numbers you know and solve for X.
(8 + X) (4 + X) - ((X)(X)) = 92
Use FOIL to multiply the first part of the equation (first, outer, inner, last)
32 + 8x + 4x + 
- = 92
32 + 12x = 92
12x = 60
x = 5
So now you know the size of the square. Each side is 5m. So add 5m onto the top of the rectangle and onto the side. The top is 13m and the side is 9m. The area of the rectangle is the length times the height to 13 x 9 which is 117
Answer:
700,000
Step-by-step explanation:
To explain this, we need to know the basics.
If you look at the number 790,390, you should automatically know that you can also write the same number as:
700,000 + 90,000 + 300 + 90
How did we do this?
Because each number in 790,390 has a <u>value.</u>
In fact, we can do this for any number! Like this:
12,345
You can also write the same number like this:
10,000 + 2,000 + 300 + 40 + 5
Back to the original question. If there is a seven in the hundred thousands place, that means that the 9 is equal to 700,000
Examples:
12,345
The 3 in this number stands for 300, since it is in the hundreds place.
678,900
The 7 in this number stands for 70,000 because it is in the ten thousands place
Now you know!
Answer:
Step-by-step explanation:
There will be a fence around the garden. ... per linear foot. About how much will the fencing costs altogether? Round to the nearest hundreth. Use 3.14 for π ... The straight part of the fence will equal the diameter (d) = 32. The rounded portion will be 1/2 the circumference = (pi)d/2 = (3.14)(16)=50.24.
Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13
Answer is option . D
Answer:
$104
Step-by-step explanation:
- First, find the employee’s hourly rate. You can do this by dividing the total amount earned by the total hours worked.
- Now that you know that the employee’s hourly rate is $13 per hour, you can multiply the hourly rate by the number of hours.
