A building casts a 33-m shadow when the sun is at an angle of 27° the vertical. How tall is the building to the
nearest meter? How far is it from the top of the building to the tip of the shadow?

Answer:

36

Step-by-step explanation:

There would be three on each edge. (Five, minus the two ends that have 3 sides painted.)

A cube has 12 edges.

12x3=36

Answer:

2

Step-by-step explanation:

A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.

The format is not exactly clear with the expression in the question.

Assuming the expression is '8 * 2n', the coefficient would be 2.

'n' is getting multiplied by '2'.

'8' does not have a variable next to it, so it is just a term in the expression.

The product of 8 and 2 is 16. 16 is not in the expression.

If the expression was '8.2n', 8.2 would be the coefficient.

Brainilest Appreciated.

Answer:

72  minutes until they play again

Step-by-step explanation:

18+18+18+18=72

24+24+24=72

Answer:  72 minutes

======================================================

Explanation:

The GCF of 18 and 24 is 6, since this is the largest factor shared between the two numbers

To find the LCM, we'll involve the GCF. The LCM of two numbers x and y is found by multiplying them, and then dividing over the GCF of them.

LCM of x and y = (x*y)/(GCF of x and y)

LCM of 18 and 24 = (18*24)/6

LCM of 18 and 24 = 432/6

LCM of 18 and 24 = 72

-----------

To help confirm this, we can list out the multiples of each

We see that 72 is the lowest common multiple. This is the final answer because each station will play the same song 72 minutes apart.

The stations play the same song at 3 PM. Then 72 minutes later (4:12 PM), the same song is played again on both stations at the same time. Then at 5:24 PM, another 72 minute gap, is when the same song is played again at the same time. And so on.

----------

Side note: 72 minutes = 60 min + 12 min = 1 hr, 12 min

Answer:

Adult=1,385.71

Children=814.29

Approximately

Adult=1386

Children=814

Step-by-step explanation:

c= number of children

a= number of adults

Admission fee for children=$4.50

Admission fee for adults=$8.00

Total attendees=2200

Total amount realized=$5050

We need two equations to solve the two unknowns

c + a=2200 (1)

4.50c + 8.00a=5,050 (2)

From (1)

c + a=2200

c=2200 - a

Substitute c=2200 - a into (2)

4.50c + 8.00a=5,050

4.50(2200 - a) + 8.00a=5050

9900 - 4.50a +8.00a=5050

Collect like terms

9900-5050= -4.50a+8.00a

4,850=3.5a

Divide both sides by 3.5

1,385.71=a

Substitute a=1,385,71 into (1)

c + a=2200

c+1385.71=2200

c=2200-1385.71

=814.29

c=814.29

Answer:

Zoom it to see well

Step-by-step explanation:

The equation of the parabola is y = (x - 1)² - 4. Then the vertex of the parabola is at (1, -4) and the parabola passes through (0, -1) and (0, 3).

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The equation is given below.

y = (x + 1)(x - 3)

We know that the equation is a parabolic equation.

And the value of y at -1 and 3 is zero.

The equation can be written as

y = x² - 2x -3

y = (x - 1)² - 4

And the vertex of the parabola is at (1, -4).

The graph is shown below.

More about the parabola link is given below.

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Hence, the m∠DCA is 59.2

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs, and sometimes the arms of the angle.

m∠DCB = (4x) + (6x-58) = 90

10x = 148

x = 14.8

m∠DCA = 4x

             = 4(14.8)

             = 59.2

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Answer:

  D.  127°

Step-by-step explanation:

The exterior angle (x) is the sum of the remote interior angles (y, z).

  x = y +z

  (197 -5n) = (6n +22) +(n +7) . . . . . substituting the given expressions

Eliminating parentheses and collecting terms, we have ...

  197 -5n = 7n +29

  168 = 12n . . . . . . . . . add 5n-29

  14 = n . . . . . . . . . . divide by 12

Then the measure of remote exterior angle x is ...

  m∠x = (197 -5(14))° = (197 -70)°

  m∠x = 127°

Answer:

  $86.81

Step-by-step explanation:

Using the given formula, we want to compute A for ...

  P = 4750

  r = 0.2279

  n = 365 . . . . . assuming "exact" interest

  t = 1 or 30

For 1 day late:

  A = 4750(1 +0.2279/365)^(365·(1/365)) = 4752.97

For 30 days late:

  A = 4750(1 +0.2279/365)^(365·(30/365)) = 4839.78

The difference in these payment amounts is ...

  $4839.78 -4752.97 = $86.81

You would save $86.81 in interest charges by paying only 1 day late.

_____

Comment on the question

It would be a poor choice of credit card to use one that compounds interest daily. Most do so on a monthly basis.

Answer:

Geometery is used everywhere you go. Construction blueprints, the design of assembly systems in manufacturing, nanotechnology, computer graphics, visual graphs, video game programming virtual reality creation, and etc. It has given us what we have today and why we have everything today. Without geometry to help us how would construction know how to build the bridge so it won't fall. It benefits us in ways people don't expect but everyone should learn it so we can recognize the importance of math to the real world. Stuff wasn't just created it was hard work and dedication which led to the great feeling of accomplishment!

Step-by-step explanation:

Not plagiarized so go ahead and use it.

Answer:

14

Step-by-step explanation:

The expression is h = 17 + x/6

Replace x by -18

● h = 17 + x/6

● h = 17 + (-18/6)

● h = 17 +(-3)

● h = 17 -3

● h = 14

So the output when x = -18 is 14

h=14

h=17+18/6

h=17+-3

h=17-3

h=14

Answer:

t= 0

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

[tex]log_{b}[/tex] 1 = 0

Given

[tex]log_{x}[/tex] a + [tex]log_{x}[/tex] [tex]\frac{1}{a}[/tex] = t ,then

[tex]log_{x}[/tex] (a × [tex]\frac{1}{a}[/tex] ) = t

[tex]log_{x}[/tex] 1 = t , thus

t = 0

Answer:

22 years

Step-by-step explanation:

Well we know the formula for simple interest is

I = PRT

I = interest earned

P = initial balance

R = rate

T = time

We want to solve for time here....so rearrange for T

T= I/(PR )

We have

P = 825

R = .057

And I = current balance - initial balance = 1859.55 - 825 = 1034.55

So plugging all those in we have

T = 1034.55/(825×.057 )

T = 1034.55/47.025

T = 22

It was held for 22 years.

Answer:

Step-by-step explanation:

1. Solve

 5(4x + 2) ÷ 7y

20x+10 ÷  7y

Sum: 20x+10 ÷ 7y

Products: 20x and 10

Factors: 5, 4x, and 2

Quotient: not present

Coefficient: not present

Terms: x and y

Answer:

998

Step-by-step explanation:

I haven't included the 1 or the 1000

Answer:

There are 200 numbers between 1 and 1000  that do not contain the digits 8, and 9.

Step-by-step explanation:

1-100

=(8,9,18,19,28,29,38,39,48,49,58,59,68,69,78,79,88,89,98,99)=20

101-200

=(108,109,118,119,128,129,138,139,148,149,158,159,168,169,178,179,188,189,198,199)=

201-300=20

.......

100*10=1000

20*10=200

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers

Step-by-step explanation:

Answer: answer in the attachment

Step-by-step explanation:

Hope this might have helped you

Answer:

b is the correct answer. p is 10

The value of m∠RLU = 10.

Given: (5p - 8) and (2p + 22)

Simplifying both of the equation, then we get

5p - 8 = 2p + 22

Add 8 to both sides of the equation, then we get

5p - 8 + 8 = 2p + 22 + 8

simplify

5p = 2p + 30

substract 2p from both sides of the equation

5p - 2p = 2p + 30 - 2p

3p = 30

p = 30/3

p = 10.

m∠RLU = 10

Therefore, the correct answer is option D. 10.

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Answer:

[tex]\huge\boxed{0}[/tex]

Step-by-step explanation:

First we have to do the operation of multiplication

=> (12+6-15)*(4+1-7+2)

Now, Solving the terms inside the brackets

=> (18-15)*(5-7+2)

=> (3)*(-2+2)

=> (3)*(0)

=> 0

Answer:

[tex]\Huge \boxed{{0}}[/tex]

Step-by-step explanation:

[tex](12+6-5*3)*(2*2+1-7+2)[/tex]

Solve brackets.

[tex](12+6-15)*(4+1-7+2)[/tex]

[tex](3)*(0)[/tex]

Multiply both numbers.

[tex]3 \times 0 = 0[/tex]

Answer:

but i didn't understand the root 5 with b on the question

Answer:

Lesser x = -10

greater x = -2

Step-by-step explanation:

Find the zeroes:-

[tex]f(x)=(x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} =16[/tex]

[tex]\sqrt{(x+6)^{2} }=\sqrt{4^{2} }[/tex]

[tex]x+6=[/tex] ± [tex]4[/tex]

[tex]x+6=4[/tex]

[tex]x=4-6[/tex]

[tex]x=-2[/tex]

or, [tex]x+6=-4[/tex]

[tex]x=-4-6[/tex]

[tex]x=-10[/tex]

So, [tex]x=-10, \: or\: x=-2[/tex]

OAmalOHopeO

Answer:

LESSER X=-10

GREATER X=-2

Hope it helps:)))

have a marvellous day every single day!

Step-by-step explanation:

Answer:

s

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since g(x) is the inverse of f (x) to find g(x) must first find f-¹(x)

To find f-¹(x) equate f(x) to y

That's

f(x) = y

y = 4x + 12

Next interchange the terms x becomes y and y becomes x

That's

x = 4y + 12

Next make y the subject

4y = x - 12

Divide both sides by 4

Therefore

Hope this helps you

Answer:

1. [tex](A,B) = (3,-2)[/tex]

2. The values of t are: -3, -1

Step-by-step explanation:

Given

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}[/tex]

[tex]|t| = 2t + 3[/tex]

Required

Solve for the unknown

Solving [tex]\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}[/tex]

Take LCM

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{(x - 2)(x-1)}[/tex]

Expand the denominator

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - 2x + x -2}[/tex]

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - x -2}[/tex]

Both denominators are equal; So, they can cancel out

[tex]x + 7 = A(x+1) + B(x-2)[/tex]

Expand the expression on the right hand side

[tex]x + 7 = Ax + A + Bx - 2B[/tex]

Collect and Group Like Terms

[tex]x + 7 = (Ax + Bx) + (A - 2B)[/tex]

[tex]x + 7 = (A + B)x + (A - 2B)[/tex]

By Direct comparison of the left hand side with the right hand side

[tex](A + B)x = x[/tex]

[tex]A - 2B = 7[/tex]

Divide both sides by x in [tex](A + B)x = x[/tex]

[tex]A + B = 1[/tex]

Make A the subject of formula

[tex]A = 1 - B[/tex]

Substitute 1 - B for A in [tex]A - 2B = 7[/tex]

[tex]1 - B - 2B = 7[/tex]

[tex]1 - 3B = 7[/tex]

Subtract 1 from both sides

[tex]1 - 1 - 3B = 7 - 1[/tex]

[tex]-3B = 6[/tex]

Divide both sides by -3

[tex]B = -2[/tex]

Substitute -2 for B in [tex]A = 1 - B[/tex]

[tex]A = 1 - (-2)[/tex]

[tex]A = 1 + 2[/tex]

[tex]A = 3[/tex]

Hence;

[tex](A,B) = (3,-2)[/tex]

Solving [tex]|t| = 2t + 3[/tex]

Because we're dealing with an absolute function; the possible expressions that can be derived from the above expression are;

[tex]t = 2t + 3[/tex]    and   [tex]-t = 2t + 3[/tex]

Solving [tex]t = 2t + 3[/tex]

Make t the subject of formula

[tex]t - 2t = 3[/tex]

[tex]-t = 3[/tex]

Multiply both sides by -1

[tex]t = -3[/tex]

Solving [tex]-t = 2t + 3[/tex]

Make t the subject of formula

[tex]-t - 2t = 3[/tex]

[tex]-3t = 3[/tex]

Divide both sides by -3

[tex]t = -1[/tex]

Hence, the values of t are: -3, -1

Answer:

  {1, 3, 5, 7}

Step-by-step explanation:

There are four possibilities:

  AD = AB -BC -CD = 1 -2 -4 = -5

  AD = AB +BC -CD = 1 +2 -4 = -1

  AD = AB -BC +CD = 1 -2 +4 = 3

  AD = AB +BC +CD = 1 +2 +4 = 7

Possible lengths of AD are 1, 3, 5, 7.

__

The negative sign means the segment is added toward the left instead of toward the right. A final negative value means D is left of A, instead of to the right.

On a graph, points are grouped closely together to form a line and decrease.

====================================

Explanation:

Negative association is where the points decrease as you move from left to right. In other words, you move downhill as you move from left to right. There could be random upward bumps here and there, but overall the general trend is down.

Linear association is when the points are close to the same straight line, known as the regression line.

When points have strong negative linear association, we combine the two ideas mentioned above. The points are close to the same straight line and this line has a negative slope. The correlation coefficient r is close to r = -1.

Choice C is a close answer, but choice D is the better answer due to the "to form a line". If all points are on the same straight line, then r = -1 exactly and we have the strongest possible negative correlation.

The strongest negative linear association is depicted by the graph where points are grouped closely together to form a line and decrease.

Therefore, a graph with closely grouped points which forms a line and decreases infers a strong negative linear association.

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Answer:

1 58/100 or 1 29/50 (simplified)

Step-by-step explanation:

you can turn them into decimals

5/10 = 0.5

8/100 = 0.08

0.5 + 0.08 = 0.58

0.58 = 58/100 = 29/50