Find the Area of the figure below, composed of an isosceles trapezoid and one
semicircle. Rounded to the nearest tenths place
10

Exact Answer:     x = 16/3

Approximate Answer:      x = 5.333

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Work Shown:

base = 3x-1

height = x

area of triangle = (base*height)/2

40 = x*(3x-1)/2

40*2 = 3x^2 - x

80 = 3x^2 - x

0 = 3x^2 - x - 80

3x^2 - x - 80 = 0

Now apply the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-80)}}{2(3)}\\\\x = \frac{1\pm\sqrt{961}}{6}\\\\x = \frac{1\pm31}{6}\\\\x = \frac{1+31}{6} \ \text{ or } \ x = \frac{1-31}{6}\\\\x = \frac{32}{6} \ \text{ or } \ x = \frac{-30}{6}\\\\x = \frac{16}{3} \ \text{ or } \ x = -5\\\\x \approx 5.333 \ \text{ or } \ x = -5\\\\[/tex]

A negative height doesn't make sense, so we ignore x = -5

The only solution is x = 16/3 which approximates to x = 5.333

Answer:

d. 3,200

Step-by-step explanation:

If the total population consists of 32,000 people, a sample of the population selected will consist of a number equal or less than 32,000 people.

From the given options, the only option that matches the above explanation is "D" which is less than 32,000 people.

Therefore, the correct answer choice is D. 3,200.

1 (hide)

2 (disattracted)

3(...)

4(younger)

5(decided)

6(big)

7(wide)

8(down)

9(stopped)

10(

Answer:

Option. A

Step-by-step explanation:

Have a great day!

Answer: A

Step-by-step explanation: there's 8 spaces on the spinner

Answer:

494

Step-by-step explanation:

There's 60 seconds in 1 minute

multiply 8 * 60 and add 14

494

Answer:

494 seconds

Step-by-step explanation:

1 minute = 60 seconds

Convert 8 minutes into seconds:

Variable x = number of seconds in 8 minutes

1 min/60 seconds = 8 mins/x

Cross multiply:

1 × x = 60 × 8

1x = 480

x = 480 seconds

Add the 14 seconds to 480 seconds:

14 + 480 = 494

Answer:

y=2x+2

Step-by-step explanation:

Answer:

$16.70

Step-by-step explanation:

9.5 miles / .25 = 38

The first mile is 1.25 so we do this

37 * .35 = 12.95

12.95 + 1.25 = 14.2

14.2 + 1.25 + 1.25(two additional passengers) = 16.70

Answer:

11 equal $187 plus 7 more hours to get $306

Step-by-step explanation:

18 hours

Answer:

18 hours

Step-by-step explanation:

187 divided by 11 = 17

306 divided  17 = 18 hours

Answer:

line one and 2

Step-by-step explanation:

the quetoin says it is x - 3 not 2x

Answer:

C 16/33

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

0%, there is no chance you can roll a 7 on a number cube with 6 sides.

If you meant a 5 and then a 6, or 2 rolls subsequently, it would be 1/36.

Step-by-step explanation:

1/6*1/6=1/36

Answer:

1.57480315

Step-by-step explanation:Mark me brainliest!

Answer:

D

Step-by-step explanation:

i hope this helped

:))))))

Answer:

3:1

Step-by-step explanation:

Given data

Distance jogged= 1.5km

Distance walked= 500m= 0.5km

Hence the ratio of distance jogged to distance walked is

=1.5/0.5

=3/1

= 3:1

Answer:   Yeah ik i have to do it too lol

but the answer is -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

67% (rounded)

Step-by-step explanation:

Since there is 1-6,

There is 3,4,5,6 which is 4/6 chance being above 2.

2/3 = 66.6%  

Answer:1/36

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )

Answer:

14%

Step-by-step explanation:

[tex]\frac{70,000}{500,000} :\frac{y}{100}[/tex]

y × 500,000 = 100 × 70,000

500,000y = 7,000,000

500,000y ÷ 500,000 = 7,000,000 ÷ 500,000

y = 14

Answer:

Area = 28.43 cm²

Step-by-step explanation:

area of square = 11.5 x 11.5 = 132.25 cm²

area of circle = πr² = (3.14)(5.75²) = 103.82 cm²

Area= 132.25 - 103.82 = 28.43 cm²

Answer:

28.38 cm²

Step-by-step explanation:

Area of square

a = 11.5^2

a = 132.25

The corners are 4 quarter circle

which makes a complte circle

a = πr^2

a = π(11.5/2)^2

a = 103.8689071093

Area shaded

a = 132.25 - 103.8689071093

a = 28.3810928907

Rounded

a = 28.38 cm²

Answer:

a=-2

Step-by-step explanation:

-29=6a-17

add 17 on both sides

-12=6a

divide by 6 on both sides

-2=a

a=-2

Answer:

= 5^-8 . 5^-10

= 5^(-8 ) + (-10)

=5^-18

Answer:

5^-18

Step-by-step explanation:

[tex](5^{-8})(5^{-10}) = 5^{-8-10} = 5^{-18}[/tex]

Answer:

75.52

Step-by-step explanation:

All you have to do is second cos, or cos^-1(2/8), because of sohcahtoa, adjacent hypotenuse, so it is cos.

From 12 different letters, 3326400 arrangements can be made using the letters in the word CARELESSNESS.

When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Among the 12 letters in CARELESSNESS,

there are 4 S’s, 3 E’s, and 1 each of C, A, R, L, N.

There are 12! = 479,001,600 arrangements (permutations) of the 12 letters,

most of which are identical because of repeated letters.

In order that each permutation be distinct, repeat letters have to be accounted for.

4 S’s be in 4! = 24 ways,

3 E’s, in 3! = 6 ways.

And 1! = 1 way.

Distinct permutations as requested,

thus = 12!/(3!)(4!)(1!)

       = 3326400.

Therefore, 3326400  different 12-letter arrangements can be made using the letters in the word CARELESSNESS.

To learn more about the permutation;

https://brainly.com/question/1216161

#SPJ2

Answer:

its -15 !!! its easy!!!!

Answer:

they can be described as terms!