A and b are supplementary angles. angle a measures 67° what is the measure of angle b​

Answer:

Hence, the square root of 8 is not a rational number. It is an irrational number.

Step-by-step explanation:

according to my math book.. thanks me later

The total mall visitors is the population parameter of the experiment

The sample of the experiment is 200, while the population is 1200

From the question, we have the following parameters:

The total mall visitors is the population while the visitors that were asked of their food preference are the sample

Hence, the sample of the experiment is 200, while the population is 1200

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The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

The instantaneous rate of change at a given value of [tex]x[/tex] can be found by concept of derivative, which is described below:

[tex]g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

Where [tex]h[/tex] is the difference rate.

In this question we must find an expression for the instantaneous rate of change of [tex]g[/tex] if [tex]f(x) = \sin x[/tex] and evaluate the resulting expression for [tex]x = \frac{\pi}{3}[/tex]. Then, we have the following procedure below:

[tex]g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}[/tex]

[tex]g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}[/tex]

[tex]g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x[/tex]

[tex]g(x) = \cos x[/tex]

Now we evaluate [tex]g(x)[/tex] for [tex]x = \frac{\pi}{3}[/tex]:

[tex]g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}[/tex]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. [tex]\blacksquare[/tex]

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The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

The instantaneous rate of change is the change in the rate at a particular instant, and it is the same as the change in the derivative value at a specific point.

The  instantaneous rate of change is given by the following formula;

[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{f(x+h)-f(x)}{h}[/tex]

The given function is;

[tex]\rm f(x)=sinx[/tex]

The function is also written as;

[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{sin(x+h)-sin(x)}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinx cosh +cosx sinh-sinx}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinh}{h}. \ lim_{h\rightarrow 0} cosx\\\\g(x)=cosx[/tex]

Substitute the value of x in the function

[tex]\rm g(\pi /3)= cos(\pi /3)=1/2\\[/tex]

Hence, the instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

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Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.

Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.

Therefore, the diameter of a full sphere = side length of cube.

Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

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Explanation:

SA = surface area of the sphere

SA = 4*pi*r^2

SA = 4*pi*8^2

SA = 804.247719

The surface area is roughly 804.247719 sq ft.

I used the calculator's stored version of pi to get the most accuracy possible.

Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.

804.247719/75 = 10.72330292

Round up to the nearest integer to get 11

You'll have leftover paint, but it's better to go over the goal than come up short.

Answer:

2(m+8)

Step-by-step explanation:

5(m+2) -3(m-2)

= 5m+10-3m+6

= 2m+16

= 2(m+8)

Answer:

Step-by-step explanation:

[tex]\begin{aligned}& 5(m+2)-3(m-2) \\\\=& 5 m+5 \times 2-(3 m-6) \\\\=& 5 m+10-3 m+6 \\\\=&(5 m-3 m)+(10+6) \\\\=& 2 m+16\end{aligned}[/tex]

Answer:

20320 minutes

Step-by-step explanation:

divided the minutes by 24 then get your answer

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {x}^{ - 4} \times {y}^{2} } [/tex]

plug in the values :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {3}^{ - 4} \times { - 1}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3 {}^{ - 6} {}^{ } {}^{} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: {3}^{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \:729[/tex]

Therefore, B is the Correct choice ~

・ ．━━━━━━━†━━━━━━━━━．・

Answer:

729

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{1}{3^{-2}x^{-4}y^2}[/tex]

Apply exponent rule [tex]\sf \dfrac{1}{a^{-b}}=a^b[/tex]

[tex]\sf \implies \dfrac{3^2x^4}{y^2}[/tex]

[tex]\sf \implies \dfrac{9x^4}{y^2}[/tex]

Substituting x = 3 and y = -1:

[tex]\sf \implies \dfrac{9(3)^4}{(-1)^2}[/tex]

[tex]\sf \implies \dfrac{9 \cdot 81}1}[/tex]

[tex]\sf \implies 729[/tex]

Answer:

25.1

Step-by-step explanation:

for perimeter you just add them all together

Answer:

25π + 30m which is approx. 108.54m

Step-by-step explanation:

First, we can work out the angle of the middle of the playground. 360 - 60 = 300°

Next, we can find out the arc length of the playground using the formula:

θ/360 × πd → 300/360 × 30π = 25π

Finally, we need to add on the two radii to find the perimeter of the playground: 25π + 15 + 15 = 25π + 30m which is approx. 108.54m

Hope this helps!

Answer:

4items

Step-by-step explanation:

bought 8items

p=10%

10\20×8

Answer:

C)  y = -2x - 5

Step-by-step explanation:

[tex]\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)[/tex]

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2[/tex]

Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-1=-2(x-(-3))[/tex]

[tex]\sf \implies y=-2x-5[/tex]

Slope:-

Equation in point slope form

Answer: 10

Step-by-step explanation:

We can get this is a right triangle with a hypotenuse of c and legs equal to the height and radius.

So, the hypotenuse is c and the legs are 6 and 8.

This means that c=10

Answer:

Multiply the numbers then Add on both sides then simplify

Step-by-step explanation:

Answer:

√(23)

Step-by-step explanation:

The Pythagorean Theorem is a² + b² = c²

so...

a = 7

b = 3

7² + 3² = c²

14 + 9 = c²

√(23) = c

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

Answer:

(-3,8)

step by step explanation:

y=-4/3 +4

x=-3

put in x value in first Problem

y=-4/3(-3) +4

solve

y= 12/3+4

y=4+4

y=8

we already know what x is so

x= -3, y=8

(-3,8)

hope this helps

Check the picture below.

Answer:

Step-by-step explanation:

y=Mx+c

M=6 c=-2

Answer:

Step-by-step explanation:

First find the shaded area. Ignore the fact that something is missing.

L = 16

w = 8

Area = L*w           Substitute the givens

Area = 16*8

Area = 128

Now consider the white area. It has a "length" of 4 and a width of 8

L = 4

w = 8

Area = 32

Now subtract 32 from 128

Area of shaded part = 128 - 32

Answer: 96 mm^2

Answer:

Runner A is more consistent as all of the dots are close to the line unlike Runner B or C

Answer:

Step-by-step explanation:

answer: (x-4)(x+5)

x^2 + x - 20

x^2 + 5x -4x -20

x^2 + 5x - 4x - 20

x(x+5) -4 (x+5)

x(x+5)-4(x+5)

(x-4)(x+5)

Mean, Median, and Mode

Mean - Add all the numbers then divide by the number of numbers you added.

Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)

Mode - The number that appears the most in a set of numbers.

They are called measures of center because they are statistics that describe the center of a set of data.

Answer:

more girls than boys.

Step-by-step explanation:

because there is 95 girls compared to 65 boys, so whatever random numbers of both are pulled, girls will have the higher ratio.

Answer:

b

Step-by-step explanation:

i just think so correct me if im wrong

Answer:

When you divide 4/16 by 4 it equals 1/4. which is known as 0.25 or 25% of a whole.  

Step-by-step explanation:

Answer:

X< 7/8

Step-by-step explanation:

X< 2/7×4

X< 2×4/7

X< 7/8

Answer:

[tex]\boxed{\sf{x < -\dfrac{20}{7} }}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate it on one side of the equation.

x/4+<2/7

First, multiply by 4 from both sides.

x/4*4+4<2/7*4

Solve.

2*4=8

Rewrite the problem down.

x+4<8/7

Then, you subtract by 4 from both sides.

x+4-4<8/7-4

Solve.

x<-20/7

Therefore, the correct answer is x<-20/7.

I hope this helps you! Let me know if my answer is wrong or not.

if we do a vertical line test on that graph, we'll find that a vertical line will pass by and hit the line only once on its way down, only once meaning the graph is the graph of a function.

well, is really how high and low it goes or namely over the y-axis.

well, it goes up up up to 3 then U-turns and back down it goes, now the graph has arrowheads, meaning the graph keeps on going towards infinity, vertically as well as horizontally since it's a parabola, so the range will be

well, is simply how left and right it goes or namely over the x-axis.

judging from the arrowheads it moves from infinity to infinity, so