First you solve for the area of the unshaded triangle. Use the formula of area of triangle which is 1/2bh to find. 1/2(9)(4) = 18 cm^2. The area of the unshaded triangle is 18cm^2. Now we need to find the area of the rectangle. We can find that by using the formula for area of rectangle which is (b)(h). 12*4 = 48 cm ^2. Now that we have the area of the triangle and the area of the rectangle, we just need to subtract the area of the triangle from the area of the rectangle to get the area of the shaded region. 48 cm^2 - 18 cm^2 = 30 cm^2.
So our answer is: The area of the shaded region is 30 cm^2. In this case it’s option C or the third option for your quiz.
Answer:
FALSE
Step-by-step explanation:
The length of the base edge of a triangular pyramid may vary.
The height is not always twice the length of the base edge for any triangular pyramid, the dimensions are not fixed for any shape and can vary from one design to another.
more so, i may require a particular size or dimension of triangular based pyramid for my application that may not suit your application.
Answer: speed of the car is 88 miles per hour
the speed of the motorcycle is 78 miles per hour
Step-by-step explanation:
Number of miles travelled by car = 312
Number of miles travelled by motorcycle = 272
Let x = speed of the car
Let y = speed of the motorcycle
If the car's speed is 10mph more than the motorcycle's, it means
x = y + 10 - - -- - - 1
Time taken for car to travel 312 miles is distance /speed = 312/x
Time taken for motorcycle to travel 272 miles is distance /speed = 272/y
The car travels 312 miles in the same time that a motorcycle traveled 272.
This means
312/x = 272/y
312y = 272x
y = 272x/312
Substituting y = 272x/312 into equation 1, it becomes
x = 272x/312 + 10
312x = 272x + 3120
312x-272x = 3120
40x = 3120
x = 3120/40 = 78 miles per hour
x = y + 10 = y + 78
x = 88 miles per hour
The two numbers are 3 and 12.
I got these numbers by factoring 36.
1 * 36 sum : 37
2 * 18 sum : 20
3 * 12 sum : 15
It is easier to find the factor of a number and solve for the sum. Than to find the addends of a number and solve for the product.
There are 9 factors of 36 while 14 addends of 15.
Answer:
<u>150</u>
Step-by-step explanation:
So I will shorten Eric, and Bob's names as E, and B.
So the equations are this
B-E = B+E - 240, E as Eric, and B as Bob, and this E+B=9(E-B)
Move the variables and you get
-2E =- 240
Just divide them both by -2
and E=120
So when we know the value of E we can just plug it into the 1st question
120+B=9B+1080
Moves the Variables and numbers to the other side
8B=1200
1200/8= 150
B=150
There is Bob's weight
