Building A and Building B are 500 meters apart. There is no road between them, so to drive from building A to Building B, it is necessary to first drive to building C and then to Building B. А 500 m b 60° B C a Find the distance from Building A to Building C. Round to the nearest whole number O 577 m O 447 m O 433 m O 250 m​

Answer:

(1/6)π = 0.524

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} *\pi *r^{3}[/tex]

Volume of Sphere = [tex]\frac{4}{3} *\pi *0.5^{3}=\frac{1}{6} \pi[/tex]

Answer:

V = (1/6)π

Step-by-step explanation:

Use the sphere volume formula:

V = (4/3)(π)(r^3)

V = (4/3)(π)(1/2)^3

V = (4/3)(π)(1/8)

V = (4/24)π

V = (1/6)π

Answer:

= 240ml purple dye

Step-by-step explanation:

150ml red dye + 175ml blue dye = 325ml purple dye

            325ml - 85ml = 240ml purple dye

                       = 240ml purple dye

Answer:

130°

Step-by-step explanation:

∠AOB + ∠BOC + ∠COD = 180

Note ∠BOC = 90°

so 3x - 28 + 90 + 66 - x = 180

2x + 128 = 180

2x = 180 - 128 = 52

x = 52/2 = 26

Note ∠EOD = ∠BOA = 3x - 28 = 3*26 - 28 = 50

∠AOE + ∠EOD = 180°

so

∠AOE + 50 = 180

∠AOE = 180 - 50 = 130°

Answer:

number of math textbooks sold: 211

number of chemistry textbooks sold: 159

Step-by-step explanation:

let [tex]x[/tex] be the number of math textbooks sold

let [tex]y[/tex] be the number of chemistry textbooks sold

[tex]y=x-52[/tex]

[tex]y+52=x[/tex]

[tex]x+y=370[/tex]

[tex]y+52+y=370[/tex]

[tex]2y=318[/tex]

[tex]y=159[/tex]

[tex]x=159+52[/tex]

[tex]x=211[/tex]

Answer:

Step-by-step explanation:

(3x+5)+75+x=180⁰

3x+5+75+x=180

4x=180-80=100

x=100/4=25⁰

Answer:

61

Step-by-step explanation:

Answer:

Step-by-step explanation:

When the central tendency is the outliner is removed , the mean will increase.

Outliers are often used to measure central tendency and dispersion. They can give wrong impressions of a data set when a the set has more than one or one outliers.

An outlier is known to be the value that is said to be greater than or say less than most of the other values found in a data set.

see options below

A.They will not change.

B.The mode will change.

C.The mean will decrease.

D.The mean will increase.

Learn more about central tendency from

https://brainly.com/question/1288901

Answer:

False

Step-by-step explanation:

10x3=30

30-20=10

10=20

These equations dont match.

Hence, the equation is false

Answer: This equation is FALSE. The left side 10 does not equal to the right side which is 20.

Step-by-step explanation:

Answer:

The correct answer is C, x = 1; x = -8

Step-by-step explanation:

[tex]x^2+7x=8[/tex]

[tex]x^2+7x-8=0[/tex] <== a = 1, b = 7, c = -8

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a} \\\\x=\frac{-7\±\sqrt{7^2-4*1*-8}}{2*1} \\\\x=\frac{-7\±\sqrt{7^2-4*-8}}{2} \\\\x=\frac{-7\±\sqrt{49+32}}{2} \\\\x=\frac{-7\±\sqrt{81}}{2} \\\\x=\frac{-7\±9}{2} \\\\x=\frac{-7+9}{2}\ \ and\ \ x=\frac{-7-9}{2} \\\\x=\frac{2}{2}\ \ and\ \ x=\frac{-16}{2} \\\\x=1\ \ and\ \ x-8\\\\x=1,\ x-8[/tex]

Hope this helps!

Answer:

See below for answers

Step-by-step explanation:

Problem 1

[tex]\frac{1}{sin\theta}=2cos\theta\: ; \: 0\leq\theta < 2\pi\\\\1=2sin\theta cos\theta\\\\1=sin2\theta\\\\\frac{\pi}{2}+2\pi n=2\theta\\ \\\frac{\pi}{4}+\pi n=\theta\\ \\\theta=\bigr\{\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\bigr\}[/tex]

Therefore, the second option is correct.

Problem 2

[tex]cos(2x)+1=sin(x)+2\:;\: 0\leq x < 2\pi\\\\1-2sin^2x+1=sin(x)+2\\\\-2sin^2x=sin(x)\\\\0=2sin^2x+sinx\\\\0=sinx(2sinx+1)[/tex]

[tex]0=sinx\\\\x=\pi n\\\\x=0,\pi[/tex]

[tex]0=2sinx+1\\\\-1=2sinx\\\\-\frac{1}{2}=sinx\\ \\x=\frac{7\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\\\x=\frac{7\pi}{6},\frac{11\pi}{6}[/tex]

Therefore, the solution set is [tex]x=\bigr\{0,\pi,\frac{7\pi}{6},\frac{11\pi}{6}\bigr\}[/tex], making the second option correct.

Problem 3

[tex]2cos^2x=-cosx\: ;\: 0^\circ\leq x < 360^\circ\\\\2cos^2x+cosx=0\\\\cosx(2cosx+1)=0[/tex]

[tex]cosx=0\\\\x=\frac{\pi}{2}+\pi n\\ \\x=90^\circ+180n^\circ\\\\x=90^\circ,270^\circ[/tex]

[tex]2cosx+1=0\\\\2cosx=-1\\\\cosx=-\frac{1}{2}\\\\x=\frac{2\pi}{3}+2\pi n,\frac{4\pi}{3}+2\pi n\\ \\x=120^\circ+360n^\circ,240^\circ+360n^\circ\\\\x=120^\circ,240^\circ[/tex]

Therefore, the solution set is [tex]x=\bigr\{90^\circ,120^\circ,240^\circ,270^\circ\bigr\}[/tex], making the fourth option correct

What is the area of the box?

      B * H = A

      54 in² * 13 in = A

      702 in³ = A

The area of the box is 702 in³

Does he have enough sand?

If not, how many more bags does he need?

      I am not sure how many bags he does have, so I cannot answer these two questions. I can, however, tell you how many bags he will need.

      702 in³ / 36 in³ = 19.5 bags

He most likely will not have half a bag, so he will need 20 bags in total.

Answer:

Please tell me the total of students?

Step-by-step explanation:

Answer:

70% of the people at the carnival are students.

Step-by-step explanation:

Since the total is 550:

To find the percentage, we need to divide the amount of students by the total:

385/550=0.7

Then multiply the quotient by 100 and you have the percentage!

0.7*100=70

Answer:

4%

Step-by-step explanation:

1% of 900: 9

9 * 4 = 36

Answer:

  5.44 cm³

Step-by-step explanation:

The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.

The area of a hexagon with side length s is given by ...

  A = (3/2)√3·s²

For s=1 cm, the area is ...

  A = (3/2)√3(1 cm)² = (3/2)√3 cm²

__

The area of a circle is given by ...

  A = πr²

The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...

  A = π(0.5 cm)² = 0.25π cm²

__

The volume is the face area multiplied by the length, so is ...

  V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³

  V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³

The volume of the metal is about 5.44 cm³.

Answer:

D. 7n = 28

Step-by-step explanation:

Let's substitute 4 for n in each equation to check if it the resulting equation is correct:

[tex]6+n=24\\ 6+4=24\\ 10\neq 24\rightarrow \text{Incorrect!}[/tex]

[tex]5n=54\\5(4)=54\\20\neq54\rightarrow\text{Incorrect!}[/tex]

[tex]12-n=16\\12-4=16\\8\neq16\rightarrow\text{Incorrect!}[/tex]

[tex]7n=28\\7(4)=28\\28=28\rightarrow\text{Correct!}[/tex]

Therefore the answer is D

Step-by-step explanation:

Answer:

The answer is 1/2

Step-by-step explanation:

to find the answer you can multiply the to given fractions.

Hope that helps!

Answer:

352 oz

Step-by-step explanation:

16 oz in a pound

16x22 = 352

Answer:

352.

Step-by-step explanation:

One lb is 16 oz. 22x16 is 352

Answer:

6√3

Step-by-step explanation:

Let's take the vertical side in the middle as y and the side on the left as z.

We have:

from the right triangle on the right:

9²+y²=x²

from the right triangle over the big triangle:

z²+x²=(9+3)²=12²

from the right triangle on the left:

3²+y²=z²

We can use substitution in our three equations to get x.

9²+y²=x²

z²+x²=12²

3²+y²=z²

First, solve for y² in terms of x². We want everything in terms of x so we can solve for it.

9²+y²=x²

subtract 9² from both sides

x²-81 = y²

plug that into the third equation

3²+(x²-81)=z²

x²-72=z²

z²+x²=144 (the second equation)

plug x²-72 for z²

x²-72+x² = 144

add 72 to both sides

2x² =216

divide both sides by 2 to isolate x²

x²=108

square root both sides to get x

x = √108 = 6√3

Answer:

B W(2,-4),X(6,-4)Y(6-10),Z(2,-10)

Step-by-step explanation:

i think dont get ur hopes ^

Answer:

B

Step-by-step explanation:

One input must have one output.

If x were to be 3, then there would be two inputs for 3, and there should only be one.

Therefore, the answer is B.

The volume of the prism that is completely filled by 80 cubes of edge length 1/2 cm is 10 cm³.

To calculate the volume of the prism, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The volume of the prism is 10 cm³.
Learn more about prism here: https://brainly.com/question/23963432

Answer:

$4000 Is the Schrader family monthly budget

Step-by-step explanation:

Take $600 and DIVIDE it by .15 to get $4000

GIVEN ↷

where,

h⤿ Height ⤏0

t ⤿ time⤏?

v⤿initial velocity⤏8ft/s

s⤿initial height⤏24ft

TO FIND ↷

SOLUTION ↷

we know that,

To factorise the equation, we'll divide the both side by 8 and multiply by -1

we get,

so,

2t - 3 = 0

2t = 3

t = 3/2

t = 1.5 seconds

hence, the diver will take 1.5 seconds to reach the maximum height

Now , to find the maximum height ,

we'll insert the value of time taken in the given equation which is ↷

Hence , the maximum height the diver will reach in 1.5 seconds = 0

Answer:

equation= y-y¹=m(x-x¹)

where m= slope = y²-y¹

x²-x¹

= 10-4

6-0

= 6

6

= 1

= y-10=1(x-4)

y-10=1x-4

y=1x-4+10

y=1x+6

hope this helps

Answer:

21 is the correct answer kids.so do it ok bye

Answer:

Step-by-step explanation:

The amount your credit score improves depends a lot on how high your utilization was in the first place. If you're already close to maxing out your credit cards, your credit score could jump 10 points or more when you pay off credit card balances completely.