Angle of elevation and depression: A boy 1.5m tall is 15m away from the hut. what is the angle of elevation of the top of the hut.​

Answer:

Step-by-step explanation:

The difference is a2 - a1 = 31 - 24 = 7

n = 500

a500 = a1 + (500 - 1) * 7

a500 = 24 + 499 * 7

a500 = 24 + 3493

a500 = 3517

dude its just 3 rooms. yes

Answer:

3 rooms

Step-by-step explanation:

For 1 1/4 rolls of electric wire = 1 room

For 3 3/4 rolls of electric wire = 3 3/4 ÷ 1 1/4

                                                 = 15/4 ÷ 5/4

                                                 = 15/4 x 4/5

                                                 = 15/5

                                                 = 3 rooms

Answer:

140

Step-by-step explanation:

40 divided by 16 = 2.5 .  350 divided by 2.5=140 hope this helped

Answer:

80 mm

Step-by-step explanation:

1/p + 1/20 = 1/16

Subtract 1/20 from both sides

1/p = 1/16 - 1/20

Use 160 as common denominator

1/p = 10/160 - 8/160

1/p = 2/160

1/p = 1/80

Cross multiply

80 = p

80 mm

Given:

Principal = $54,000

Time = 9 years

Rate of compound interest = 12% per annum.​

To find:

The compound interest.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded and t is the number of years.

The interest is compounded annually, so [tex]n=1[/tex].

Substituting [tex]P=54000,\ t=9,\ n=1,\ r=0.12[/tex] in the above formula, we get

[tex]A=54000\left(1+\dfrac{0.12}{1}\right)^{1(9)}[/tex]

[tex]A=54000\left(1.12\right)^{9}[/tex]

[tex]A=149746.252902[/tex]

[tex]A\approx 149746.25[/tex]

The amount after 9 years is $149746.25.

Now, the compound interest is:

[tex]C.I.=A-P[/tex]

Where, C.I. is compound interest, A is amount and P is principal.

[tex]C.I.=149746.25-54000[/tex]

[tex]C.I.=95746.25[/tex]

Therefore, the compound interest is $95746.25.

Answer:

A. (x + 2)²(x - 2)²

Step-by-step explanation:

x⁴ - 8x² + 16 =

(x² - 4)(x² - 4) =

(x - 2)(x + 2)(x - 2)(x + 2) =

(x - 2)²(x + 2)²

Answer:

Step-by-step explanation:

Answer:

61.6 dollars

Step-by-step explanation:

So, lets go over what we know:

The shows orginally cost 88 dollars.

They are 30% less than that.

This basically means that the shoes will cost 70 percent of their orginal price.

We can basically find the new cost by multiplying the 88 dollars by the 70 percent.

Or, multiplying 88 by 0.7, which is the decimal form of 70%.

88*0.7=61.6

How did I get this?

Multiply 80 by 0.7:

7*8=56

We have 0.7 so it = 5.6

However, it's tens place is 80, not 8, so it will be = 56

It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8

= 5.6

56+5.6=61.6

So 61.6 is our answer.

Hope this helps!

Answer:

$61.60

Step-by-step explanation:

the other answer is correct.

just to add some explanation about the % considerations.

we know $88 is 100%

in order to get any other % value, we need to divide the original value by 100 (that gives us 1%), and then multiply with the number of % we want to have - in our example 70, as the discount is 30% (so the remaining part is 70% of the original price).

so, in order to get 70% we actually have to do the above things and divide by 100 and multiply by 70.

70% = (100% / 100) × 70 = 100% × 70 / 100

70 / 100 = 0.7 (that is how answer 1 actually got that multiplication factor)

70% = 100% × 0.7

70% = $88 × 0.7 = $61.60

Answer:

(x-a)(y-b)=r²

(x-(-3))(y-(-5))=r²

(x+3)2(y+5)2=36

Answer:

TRUE

Step-by-step explanation:

Answer:

true i think

Step-by-step explanation:

Answer:

[tex]\sqrt[6]{2\\}[/tex]

Step-by-step explanation:

Rewriting

2 ^1/2 ÷ 2 ^ 1/3

We know a^ b ÷ a^c = a^ (b-c)

2 ^ (1/2 -1/3)

Getting a common denominator

2^ ( 3/6 - 2/6)

2^ 1/6

[tex]\sqrt[6]{2\\}[/tex]

Answer:

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:

[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]

Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:

[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]

We just need to subtract 1/3 from 1/2 to get:

[tex]2^{\frac{1}{6} }[/tex]

This is the same as the 6th root of 2, which is the second option.

Answer:

inverse: f-(x)=x+3/5

Step-by-step explanation:

Set f(x)=x and x=y

x=y-3/5

isolate y by adding 3/5 to both sides

x+3/5=y

this is the inverse :)

The none of no irrational number in the given option.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

In another word, irrational numbers are those numbers that can not terminate.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

Among the given option

A) √100 = 10 which is integer.

B) 1/8 were 1 and 8 both integer.

C)  -2.2675 here also it is an integer.

D)  [tex]0^{12}[/tex] which is 0 so it is also a rational number.

Hence none of the irrational numbers. It might be possible that there is a typing mistake in the question or in option D there is something else.

For more about the irrational number

https://brainly.com/question/4031928

#SPJ2

Answer:

Step-by-step explanation:

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument. ... The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .

Answer:

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument . Coordinate geometry proofs employ the use of formulas such as Slope Formulas, the Midpoint Formula and the Distance Formula, as well as postulates, theorems and definition s. The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas . The facilitate verification is a proof of a geometric hypothesis which utilizes " summed up" indicates on the Cartesian Plane make a contention. The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations. For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem, which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.

Answer:

Is that it's not about the answers and the questions

Step-by-step explanation:

22+22=44

Es una pregunta fácil, incluso un niño pequeño puede responder a esto.

Answer:

shhsksbsvsvdbdhsbs. c

9514 1404 393

Answer:

  (d)  -3

Step-by-step explanation:

Put the number into the expression and do the arithmetic.

  f(g(-2)) = f(-2-3) = f(-5) = 2(-5) +7 = -10 +7

  f(g(-2)) = -3

Answer:

Evaluated, you get 4x^4

Step-by-step explanation:

Differentiated, you get 16x^3

It all depends on what you're looking for, really

Answer:

Kaden had $17 at first

Step-by-step explanation:

Ben = x

Kaden = x - 10

x + 4

x - 10 + 4 = x -6

x - 6 = [tex]\frac{7}{9}[/tex] x

9(x - 6) = 7x

9x - 54 = 7x

2x = 54

x = 27

x - 10 = 27 - 10 = 17

Answer:

Kaden had $31

Ben had $41

Step-by-step explanation:

k = b - 10

k + 4 = (7/9)(b+ 4)

Substitute for k = b - 10

(b - 10) + 4 = (7/9)(b+ 4)

b - 6 = (7/9)(b+ 4)

multiply by 9 to clear the fraction

9b - 54 = 7(b + 4)

Distribute

9b - 54 = 7b + 28

subtract 7b from both sides

2b - 54 = 28

Add 54 to both sides

2b = 82

Divide both sides by 2

b = 41

k = b - 10

k = 31

Answer:

18x

Step-by-step explanation:

If f(x) is 5x which can also be expressed 5(x)

Then r(x) is a number then x

f is the fifth digit in the alphabet

So fx is 5x

r is the 18 th letter so

18x

Answer:

[tex] - i[/tex]

Step-by-step explanation:

Set up equation.

[tex]i {}^{3} = y[/tex]

[tex] {i}^{2 } \times i = y[/tex]

[tex] - 1 \times i = y[/tex]

[tex] - i = y[/tex]

Answer:

He paid $640 out of his total $3,200 for the month.

As a fraction it is (640/3200) which equals (1/5)

We want it as a percentage so we multiply the fraction by 100.

1/5×100=20%

20% is the final answer.

Answer:

B

Step-by-step explanation:

The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.

Answer:

Did you find them ?

Step-by-step explanation:

Answer:

8

Hope this answer is right!!

Explanation:

Given, a×b=a^b=2 ×3

=2^3

=8

So, the value of 2 ×3 =8.

Answer:

$425.6 should be budgeted for weekly repairs and maintenance.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean $400 and standard deviation $20.

This means that [tex]\mu = 400, \sigma = 20[/tex]

How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 400}{20}[/tex]

[tex]X - 400 = 20*1.28[/tex]

[tex]X = 425.6[/tex]

$425.6 should be budgeted for weekly repairs and maintenance.

Think back to the definition of absolute value:

• If x ≥ 0, then |x| = x.

• If x < 0, then |x| = -x.

In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.

This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.

In this case,

|4√2 - 6| = -(4√2 - 6) = 6 - 4√2

because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:

4√2 = √16 √2 = √32

6 = √36

and √32 < √36 because 32 < 36.

Similarly,

|2√10 - 6| = 2√10 - 6

because

2√10 = √4 √10 = √40

6 = √36

So ultimately,

|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2