What is the solution set for this inequality
-8x + 40 > -16
A. x > 7
B. x < 7
C. x > -3
D. x < -3

Given:

The circumference of a circle is 18.

Central angle of an arc is 120 degrees.

To find:

The measure of arc length.

Solution:

The arc length of a circle is:

[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]

Where, r is the radius of the circle, [tex]\theta[/tex] is the central angle in degrees.

We know that, [tex]2\pi r[/tex] is the circumference of the circle. So, substitute [tex]2\pi r=18,\theta=120^\circ[/tex] in the above formula.

[tex]s=18\times \dfrac{120^\circ}{360^\circ}[/tex]

[tex]s=18\times \dfrac{1}{3}[/tex]

[tex]s=6[/tex]

Therefore, the length of the arc is 6 units.

Answer:

A.

B.

C.

D.

Answer:

answer:

A.

2 cm, 5 cm, 29 cm

for right angled triangle

2²+5² =29²

29=29²

false

B.

2 cm, 6 cm, 8 cm

for right angled triangle

2²+6²=8²

40=64

false

C.

4 cm, 5 cm, 6 cm

for right angled triangle

4²+5²=6²

41=36

false

D.

5 cm, 12 cm, 13 cm

5²+12²=13²

169=169

true

so.

possible lengths of the sides of a right triangle is:D.

D. 5 cm, 12 cm, 13 cm

Answer:

There is a vertical stretch when I graphed it.

Step-by-step explanation:

Hope this helps:)

Answer:

I am not sure about this one but I think x = 13.89

Step-by-step explanation:

Have a nice day!

Answer:

OPA OPA OPA OPA OPA OPA OPA OPA

Step-by-step explanation:

_. ._

\_(``-)_/

Answer:

its by chance yk

Step-by-step explanation:

Answer and Step-by-step explanation:

The top right shape is the correct option.

It contains a triangle and a rectangle, in which she can use the formulas to solve for their areas.

#teamtrees #PAW (Plant And Water)

Answer: Number 2 is correct. It divides the trapezoid into a square (rectangle) and 2 triangles which is equivalent to the whole trapezoid.

Answer:

Step-by-step explanation:

B is correct:  We Divide it (the coefficient b) by 2 and square the result.

Answer:

B. Divided it by 2 and square the result.

Answer:

13 pounds

Step-by-step explanation:

We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:

205 - 192 = 13 pounds

That means that the box and the packaging is 13 pounds. Hope this helps!

Answer:

13

Step-by-step explanation:

8x-6 = 98 and solve from there to get 13

Answer:

B=128

Step-by-step explanation:

because 190 - 62=128.

Answer:

weight on saturn = (weight on earth/9.8) x 10.44

So,

3.24 = (x/9.8) x 10.44

0.3103 = x/9.8

x = 3.0409

The rock would weigh 3.0409 pounds on Earth! :)

Answer:

104.06 m^2

Step-by-step explanation:

Area of square

22 X 22 = 484 m^2

Area of circle

3.14r^2

radius = 22/2

radius = 11

3.14* 11^2 = 379.94

484 - 379.94 = 104.06

Answer:

$48

Step-by-step explanation:

20%=1/5

60/5=12

60-12=48

Answer:

32 ft

Step-by-step explanation:

s = number of sides

Area of a square = s²

64 = s²

[tex]\sqrt{64}[/tex] = s²

8 = s

P = 4s

P = 4(8)

P = 32

Answer:

P = 64

Step-by-step explanation:

Area ÷ 4 = One side length = 16

16 x 4 = 64

Answer: 12%

Step-by-step explanation:

Given

There are 70 dogs and 55 cats at the shelter

If 15 animals are adopted

Total no of animals =70+55=125

Percent of animals adopted is given by

[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]

Answer:

y = 4

Step-by-step explanation:

2y - 6 = 2

add 6 to each side of the equation:

2y = 8

divide both sides by 2:

y = 4

Answer:

7/12lb

Step-by-step explanation:

5-1 2/3-2 3/4

=5-5/3-11/4

=10/3-11/4

=40/12-33/12

=7/12lb

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

There was an initial amount of 5 lbs.

[tex]1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}[/tex]

4 (5/12) of the sugar was used.

[tex]5 - 4\frac{5}{12}=\boxed{\frac{7}{12}}[/tex]

(7/12) of sugar should be remaining.

Hope this helps.

When we divide both sides of the inequality,

3x > 27 by 3,  3x(3) > 27(3)

we get x > 9, as the simplified form of the inequality.

Thus, giving us the answer of:

x > 9

Answer:

Step-by-step explanation:

3x > 27

x > 9

Answer:

V = 567 ft³

Step-by-step explanation:

V = Bh

[note: a capital 'B' represents the area of the base]

The right triangle is the triangular prism's base.

Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.

Area of triangular base:

 A = [tex]\frac{bh}{2}[/tex]

 A = [tex]\frac{1}{2}[/tex] (9 ⋅ 9)

 A = [tex]\frac{1}{2}[/tex] (81)

 A = 40.5

We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.

Volume of triangular prism:

 V = Bh

 V = (40.5)(14)

 V = 567 ft³

Answer:

0.44237 units

Step-by-step explanation:

Given

[tex]v(t) = e^t*sin(e^t)[/tex]

[tex]0 \le t \le \frac{\pi}{2}[/tex]

Required

The distance traveled in this interval

We have:

[tex]v(t) = e^t*sin(e^t)[/tex]

The distance is calculated as:

[tex]d(t) = \int\limits^a_b {v(t)} \, dt[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

Let:

[tex]u = e^t[/tex]

Differentiate

[tex]\frac{du}{dt} = e^t[/tex]

So:

[tex]dt = e^{-t} du[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du[/tex]

Rewrite as:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du[/tex]

Integrate:

[tex]d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0[/tex]

Substitute [tex]u = e^t[/tex]

[tex]d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0[/tex]

Split

[tex]d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)][/tex]

[tex]d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)[/tex]

[tex]d(t) = -0.09793 + 0.5403[/tex]

[tex]d(t) = 0.44237[/tex]

The distance traveled in this interval is: 0.44237 units

dt =

d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt

Answer:

Well actually,its fair,because he has a higher chance

Step-by-step explanation:

Answer:

54 percent

Step-by-step explanation:

The final probability is a weighted average of the going to play probabilities determined for each weather scenario:

P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +

If it doesn't rain, P(John plays cello) * P(it doesn't rain) =

0.54 = 0.6 * 0.7 + 0.4 * 0.3

The likelihood is 54 percent.

Answer:

8/15

-3

2 1/7

-10

Step-by-step explanation:

...............

Answer:

A. 8/15

B. 36/-12 = 3/-1 (-3)

C. -15/-7 (15/7)

D. -30/3 = -10/1 (-10)

Step-by-step explanation:

To find the quotient of two fractions, change the equation from division to multiplication.

Each time you divide fractions, remember this:

SAME, CHANGE, RECIPROCAL (FLIP)

For example, 2/5 ÷ 3/4

SAME: Keep 2/5 as it is.

CHANGE: Change the division to a multiplication sign.

RECIPROCAL (FLIP): Switch the numerator and denominator; 3/4 would become 4/3.

2/5 x 4/3

(Multiply the numerators and denominators).

2/5 x 4/3 = 8/15.

Now, repeat this with other equations.

9/4 ÷ -3/4

9/4 x 4/-3 = 36/-12 = 3/-1 (-3)

-5/7 ÷ -1/3

-5/7 x 3/-1 = -15/-7 = (15/7)

-5/3 ÷ 1/6

-5/3 x 6/1 = -30/3 = -10/1 (-10)

Answer:

D.infinitely many

try it you'll see

Answer:

Given data:

The range:

The IQR is the difference of Q3 and Q1:

Step-by-step explanation:

volume is cubic feet and cubic meters

area is square feet and square units

perimeter is inches

Answer:

12

Step-by-step explanation:

Answer:

610000

Step-by-step explanation:

Srry i misread that i thought it said round to the nearest thousandth f

After rounding the number to the nearest thousand we get 609635.783

Here,

The given number to round nearest thousand is 609635.782852

What is rounding off of a number?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Now,

In rounding off a number nearest thousand we can write a number up to 3 decimal places

So after rounding 609635.782852 to the nearest thousands we get,

609635.783

Learn more about the Rounding off of a number visit:

https://brainly.in/question/5838592

#SPJ2

Answer:

168<266

Step-by-step explanation:

Answer:

168<266 (Did it on college bridge)

Step-by-step explanation: