Find the area of the figure. A) 114 cm2 B) 350 cm2 C) 418 cm2 Eliminate D) 447 cm2

Mathematics

1 answer:

ANEK [815]3 years ago

5 0

Answer:

418cm2

Step-by-step explanation:

Separate the figure into a square and a triangle. Find the area of each and add.

s2 = area of square

192 = 361 cm

bh = area of triangle

(6)(19) = 57 cm2

361 + 57 = 418 cm2

You might be interested in

What is the distance between -2/3 and 4/3 on a number line?

soldier1979 [14.2K]

If from the negative to the positive side, count how many dots are in between and add together. So it is 6 units apart or 6 dots apart.

8 0

3 years ago

The area of a patio is 72 square feet. The length of the patio is 1 foot longer than the width. What is the width of the patio?

mote1985 [20]

I know there must be an equation to do this, but there is a simpler way.
Just factor number 72 into two numbers which, when multiplied, equal 72. Two of such numbers are 9 and 8, and you can see that the difference between those two numbers is just 1. So that is the answer to your question - the length of the patio is 9 feet, whereas the width is 8 feet.

4 0

3 years ago

A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. Find a quadratic func

UNO [17]

Let x refers to the Month numbers
And y refers to Number of births

There is 5 steps to find the quadratic function that models the data.

First step ⇒ Plot the data pairs (x, y) in a coordinate plane.
 which are the blue circles in the attached figure

Second step ⇒ Draw the parabola you think best fits the data.
 Which is the red function in the attached figure.

Third step ⇒ Estimate the coordinates of three points on the
 parabola, which are (2, 108), (4, 68), and (6, 75).
 which are the black squares in the attached figure

Fourth step ⇒ Substitute the coordinates of the points into the model 
 y = ax2 + bx + c
 to obtain a system of three linear equations.

 4a + 2 b + c = 108 ---------(1)
 16a + 4 b + c = 68 ---------(2)
36a + 6 b + c = 75 ---------(3)

Fifth step ⇒ Solve the linear system.
 By using the calculator
 a = 5.875 , b = -55.25 , c = 195

So, the quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
To predict the number of births for month 8
substitute with x = 8 ⇒ y = 5.875 * 8²- 55.25 * 8 + 195 = 129