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3 years ago

What is the approximate area of the shaded region?

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

7 x 7 = 49 area of square.

The radius of the circle is half the diameter. 7 cm/2 = 3.5

A = 3.14 × 3.5 cm × 3.5 cm = 38.465

Finale step. Subtract the area of the circle from the area of the square.

49 cm^2 −38.465 cm^2 = 10.535 or round to 10.54 cm^2

D. 10.54

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Which of the following is true about the function y= 4 * 3tothepowerofx

xenn [34]

Only true statement for function f(x) = $4(3^{x})$ is c. if the value of x increases by 1, the value of y will triple.

Step-by-step explanation:

a. the function decreases

f(x) = $4(3^{x})$ , For value of x<1 function decreases and for x>1 function increases . False statement .

c. if the value of x increases by 1, the value of y will triple.

For value of x increases by 1 we have , $f(x) = 4(3^{x+1}) = 4(3^{x})(3) = f(x) (3) = y(3)$ . True statement.

b. the function has a y-intercept of (0, 3)

At y intercept x=0, f(x) = $4(3^{x})$ , $f(0) = 4(3^{0}) = 4$ . Function has a y-intercept of (0,3). False statement.

d. the function contains the point (1, 4)

At x=1, $f(1) = 4(3^{1}) = 12$ . Function contains (1,12) not (1,4) . False statement.

8 0

3 years ago

Find the number of integral solutions of x+y +z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and z ≥ 3.

SashulF [63]

There are 59 integer solutions

Such questions are best solved by writing cases and calculating the total number of cases. So beginning with

1) x = -3. The possible combinations are as follows:-

-3 2 13

-3 3 12

-3 4 11

-3 5 10

-3 6 9

-3 7 8

-3 8 7

-3 9 6

-3 10 5

-3 11 4

10 combinations

2) x = -2

-2 2 12

through

-2 11 3

10 combinations

3) x = -1

-1 2 11

through

-1 10 3

9 combinations

4) x = 0

0 2 10

through

0 9 3

8 combinations

as we can see from the pattern at x =1 we get 7 combinations, at x =2 we get 6 combinations, at x=3 we get 5 combinations and at x =4 we get 5 combinations.

Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.

Learn more about combinations here :

brainly.com/question/13387529

#SPJ1

5 0

2 years ago

Byron placed bricks in a row to make a border that was 16.9 feet long. Each brick is 1.3 feet long.

Marina86 [1]

16.9/1.3

= 13 bricks (A)

Hope this helps!

4 0

3 years ago

Read 2 more answers

Both circle A and circle B have a central angle measuring 50°. The area of circle A's sector is 36π cm2, and the area of circle

slega [8]

Answer:

A) 3/4

Step-by-step explanation:

Given: Both circle A and circle B have a central angle measuring 50°.

The area of circle A's sector is 36π cm2.

The area of circle B's sector is 64π cm2.

We know, area of the circle= $\pi r^{2}$

lets assume the radius of circle A be " $r_1$ " and radius of circle B be " $r_2$ "

As given, Area of circle A and B´s sector is 36π and 64π repectively.

Now, writing ratio of area of circle A and B, to find the ratio of radius.

⇒ $\frac{\pi r_1^{2} }{\pi r_2^{2} } = \frac{36\pi }{64\pi }$

Cancelling out the common factor

⇒ $\frac{r_1^{2} }{r_2^{2} } = \frac{36 }{64}$

⇒ $(\frac{r_1 }{r_2} )^{2} = \frac{36 }{64}$

Taking square on both side.

Remember; √a²= a

⇒ $(\frac{r_1 }{r_2} ) =\sqrt{ \frac{36 }{64}}$

⇒ $(\frac{r_1 }{r_2} ) = \frac{6}{8}$

⇒ $\frac{r_1 }{r_2} = \frac{3}{4}$

Hence, ratio of the radius of circle A to the radius of circle B is 3:4 or 3/4.

5 0

3 years ago

If a trucker changes the oil every 10,000 miles, and he starts the year with a fresh oil change, how many times will he change t

Wittaler [7]

he will change his oil 16 times because 160,000 divided by 10,000 equals 16

8 0

2 years ago

Read 2 more answers