Answer: 6928
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Explanation:
We have two areas we need to find: The area of the trapezoid and the area of the rectangle. Let's call these areas A1 and A2.
Area of Trapezoid = (height)*(base1+base2)/2
A1 = h*(b1+b2)/2
A1 = 80*(150+100)/2
A1 = 80*250/2
A1 = 20000
A1 = 10000
Area of Rectangle = (length)*(width)
A2 = L*W
A2 = 48*64
A2 = 3072
Subtract the two areas (A1-A2) to get the difference D
D = A1 - A2
D = 10000 - 3072
D = 6928
This difference D is exactly equal to the shaded area.
Answer:
x = 14 and 2/3
Step-by-step explanation:
Make an equation where x is the number.
2x - 15 = 7 + 1/2x
Then, solve the equation.
multiply both sides by 2 to get rid of the fraction
4x - 30 = 14 + x
subtract x from both sides
3x - 30 = 14
add 30 to both sides
3x = 44
divide both sides by 3
x = 14 and 2/3
When it is 3:00 the minute hand and the hour hand would form a 90 degree angle making a right triangle. If you use the Pythagorean theorem you can find the distance between the tips of the hands.
14^2+9^2=x^2
196+81=x^2
277=x^2
X=16.64ft when rounded
Answer:
B) y=3x+7.5
Step-by-step explanation:
The equation of the data in the table can be obtained by using any two points.
We will use points (3, 13) and (5,17)
<u>The slope - intercept form is: </u>
<u>We find the slope as:</u>
- m = (17-13)/(5-3) = 4/2 = 2
<u>The equation becomes:</u>
<u>To find the value of b, the y -intercept is:</u>
- 13 = 2*3 + b ⇒ b= 13 - 6 = 7
<u>So the equation is:</u>
<u />
<h3>Now let's compare this with the options</h3>
A) y = 2x + 8.5
- The slope is 2, and y- intercept is 8.5
- It has same slope and greater y-intercept
- Answer is <u>no</u>
B) y=3x+7.5
- The slope is 3, and y- intercept is 7.5
- It has greater slope and greater y-intercept
- Answer is <u>yes</u>
C) y=5x+6.5
- The slope is 5, and y- intercept is 7.5
- It has greater slope but smaller y-intercept
- Answer is <u>no</u>
D) y=10x+5.5
- The slope is 10, and y- intercept is 5.5
- It has greater slope but smaller y-intercept
- Answer is <u>no</u>
Answer:
64
Step-by-step explanation:
scale problem
ratio:
300/480 = 40/x
300x = 19200
x = 19200/300
x = 64
quiziz
