An observer stationed 20 m away from a tall
of elevation of the top of the building is 68° and the angle of depression of
its foot is 50 degrees. Calculate the height of the building.
​

Answer:

Each family member gave $4

Step-by-step explanation:

(-44 - (-80))/9

36/9

4

Answer: 22 AUD x 1.2USD / 1AUD

Step-by-step explanation: The expression would be like this:   22 Australian dollars/1.2 (value of Australian dollars to US dollars) = X US dollars/1 We would get the value of x by multiplying 1 to 22 then divide it by 1.2 and we would get the US conversion from it. We could also put the expression 22=1.2x directly and we would get the US conversion from it.

Answer:a

Step-by-step explanation:

Answer:

It is A, y = 9,958(0.972)x

Step-by-step explanation:

Answer: x^2 + 4x + 4

Step-by-step explanation:

Answer:

x^2 + 4x + 4

Step-by-step explanation:

We can do this first

(x + 2)^2

Then we can use our knowledge and do

x^2 +4.

We have to multiple the two by two and then x because that is a rule in

(a + b) ^2

=

a^2 + b^2 + 2ba

So we end up with x^2 + 4x +4

Answer:

[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}[/tex]

Decimal Form:

[tex]x = -267.38030...[/tex]

Step-by-step explanation:

[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14[/tex]

Remove Parentheses: [tex](-a) = -a[/tex]

[tex]-3^{\circ \:}x\left(-3\right)=-3\cdot \:14[/tex]

Multiply the numbers: [tex]3 * 14 = 42[/tex]

[tex]-3^{\circ \:}x\left(-3\right)=-42[/tex]

Divide both sides by: [tex]-3^{\circ \:}\left(-3\right)[/tex]

[tex]\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}[/tex]

Simplify:

[tex]x=-\frac{840}{180^{\circ \:}}[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

7,1 × 10-⁶

Step-by-step explanation:

Once you move the comma 1 time by right (,) you have -1, so by moving it six times, you have 7,1 × 10-⁶

Answer:

$55

Step-by-step explanation:

5 tickets = $25

1 ticket = $5 (divide by 5 on both sides)

multiply by 11

11 tickets = 5 ×11

11 tickets = $55

Answer:

x varies inversly inversly with z,

so it Maries linearly.

x to y and then to a can be expressed as

x = m/y

y = n/z

so we can say

x = m/(n/z) = m/n * z

m & n could be any constant numbers, like 5 or 3.7

Here is an example where both are just one:

x = 1/y

y = 1/z

so we can say

x = 1/(1/z) = 1/1 * z

(would really, really appreciate the brainliest)

Answer:

erm

Step-by-step explanation:

The sides will be:

6cm

6cm

4cm

Answer:

In isosceles triangle two sides are equal . Let the length be x .hence perimeter can be given as x + x + 6 . Therefore 2x + 6 = 16 . And 2x = 10 .and hence x =5 . So the length of each side is 5 cm

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

a) $926.40

b) $606.32

Step-by-step explanation:

a)

If she worked a total of 45.5 hours, she will receive $19.20 per hour in the first 40 hours and 1.5 * $19.20 for the exceeding 5.5 hours, so her earnings is:

19.2 * 40 + 1.5 * 5.5 * 19.2 = $926.40

b)

The deduction is $34.75, so the remaining will be:

926.40 - 34.75 = $891.65

Then, after this deduction, the taxes is 32% of the remaining, so:

891.65 - 0.32 * 891.65 = $606.32

She received $606.32

Answer:

b is false, idk about a the median is the middle line its 70 in this case

Answer:

a. true

b. false

Step-by-step explanation:

a. 2 parts of diagram are 50% and that's 62 - 70

b. median height is 70 in

Answer:C

Step-by-step explanation:There is definitely enough info.

And there are no angles so it has to be SSS~ (It's dilated by 1.5 by the way)

Answer:

P(B) = 0.85

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

[tex]P(A) = 0.24, P(B|A) = 0.85[/tex]

These events are independent.

This means that [tex]P(A \cap B) = P(A)*P(B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(B|A) = \frac{P(A)*P(B)}{P(A)}[/tex]

[tex]P(B|A) = P(B)[/tex]

So

[tex]P(B) = 0.85[/tex]

Answer:

44 m

Step-by-step explanation:

I'll assume the 5 seconds is from the time he jumped off the board.

This means we are to calculate his height 3 seconds after dropping from the height of 9 m, since he spent 2 seconds springing up off the board from a height of 7 m to the 9 m height.

we use Newton's equation of motion.

We are given

initial velocity U at the height of 9 m = 0 m/s

acceleration due to gravity downwards g  = 9.81 [tex]m/s^{2}[/tex]

distance covered S = ?

time of fall t = 3 seconds

we use S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

S = (0 x 3) + [tex]\frac{1}{2}[/tex](9.81 x [tex]3^{2}[/tex])

S = 0 + 44.145

S = 44 m

Answer:

b=9

Step-by-step explanation:

move the 4b over to the other side by adding it to both sides

[tex]-3b(+4b)=9-4b(+4b)[/tex]

[tex]1b=9[/tex]

Answer:

45+20=65

21+33=54

90+10=100

100+30= 130

Step-by-step explanation:

45+20=65

Doesn't belong as it has an odd numbered answer where as all the others have even answers

HOPE THIS HELPS

Answer:

0

Step-by-step explanation:

if x stade for any number like 5 then it will be 5-5=0

hope this helps you out need more help ask me

Answer:

We can find the radius from circumference and then area

Circumference(C) = 2πr

r = C/2π

r = 20/2π

r = 10/π

Area = πr²

Area = π × 10/π × 10/π

Area = 100/π

Area = 100/3.14

Area = 10000/314 = 31.84 cm² (approx)

Area = 32 cm² (Rounding to nearest whole number)

Answer:

32 m²

Step-by-step explanation:

We need to work out the area of the flower garden when we are given the circumference. First we need to know the formula's for area of circle and circumference of circle which are

→ Area of a circle = π × r² where 'r' is the radius

→ Circumference of a circle = 2 × π × r where 'r' is the radius

So we need to form an equation with the circumference of a circle formula and work out the radius in order to find the area so,

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2  only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

2 × π × r = 20

→ Substitute 3.14 for π

2 × 3.14 × r = 20

→ Simplify

6.28 × r = 20

→ Divide both sides by 6.28 to isolate 'r'

r = 3.18471338

So now we now the radius of the circle we can substitute the radius into the area of circle formula

Area = π × r²

→ Substitute 3.14 for π and r for 3.18471338

Area = 3.14 × 3.18471338²

Area = 31.847133842

To the nearest whole number your answer is 32 m²

The trick is to exploit the difference of squares formula,

[tex]a^2-b^2=(a-b)(a+b)[/tex]

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

[tex](\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2[/tex]

Whatever you do to the denominator, you have to do to the numerator too. So

[tex]\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2[/tex]

Expand the numerator:

[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2[/tex]

[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6[/tex]

[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6[/tex]

[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)[/tex]

[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)[/tex]

[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}[/tex]

So we have

[tex]\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2[/tex]

But √12 = √(3•4) = 2√3, so

[tex]\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}[/tex]

Answer:

b=10, a=13

Step-by-step explanation:

let s number of yellow = a

number of blue = b

we have

a+b =23

2b - a = 7

->a+b +2b -a = 23+7

-> 3b = 30

->b = 10

->a = 13

Answer:

(x + 9)(x - 7)

Step-by-step explanation:

We want to factorize [tex]x^2 + 2x - 63[/tex]

We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:

[tex]x^2 + 9x - 7x - 63\\\\= x(x + 9) -7(x +9)\\\\ = (x +9)(x -7)[/tex]

The complete factorization is (x + 9)(x - 7)

The factored form of the expression x² + 2x - 63 is (x + 9)(x - 7).

Given the expression in the question:

x² + 2x - 63

To determine the complete factorization of the quadratic expression x² + 2x - 63, we aim to break it down into its simplest factors.

This is achieved through factoring, a process of identifying the expressions that, when multiplied, result in the original quadratic expression.

x² + 2x - 63

Now, find a pair of integers whose sum equals 2,

and whose product equals -63.

We use integers 9 and -7.

Next, rewrite the quadratic expression using these factors:

(x + 9)(x - 7)

Therefore, the complete factorization of x² + 2x - 63 is (x + 9)(x - 7).

Option C) (x + 9)(x - 7) is the correct answer.

Learn more about factorization here: brainly.com/question/20293447

#SPJ6

Answer:

6 + 6x

Step-by-step explanation:

9 - (3-6x) = 9 - 3 - (-6x)

= (9-3) +6x

= 6 + 6x

1) expand the bracket

2) group like terms together

3) simplify to form expression

Answer:

3.84 * 10^8 meters

Step-by-step explanation:

As the speed of light is 300,000,000 meters/second and the time that the light takes to go from the moon to the Earth is 1.28 seconds, we can find the distance using the formula:

Distance = speed * time

So we have that:

Distance = 300,000,000 * 1.28 = 384,000,000  meters

In cientific notation, we need the first number to be in the interval from 1 to 10, so we have 3.84, and we have to multiply by 10^8 to reach our result, so we have:

Distance = 3.84 * 10^8 meters

What is the nth term to this sequence 18,16,14,12 ?

Answer: 4

Explanation:

1. 18

2. 16

3. 14

4. 14

5. 12

6. 10

7. 8

8. 6

9. 4

Answer:

Hey!

The nth term for your sequence is -2!

Step-by-step explanation:

18 - 2 = 16

16 - 2 =14

And so on! (the nth term of a sequence is basically the differences between the different terms!)

HOPE THIS HELPS!!

Answer:

You might need to repost or edit this question - there are no choices or picture.

Answer:

There are no choices.

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

angle QRS is same as (2x + 3) because it is an isosceles triangle

so, 90 + (2x+3) + (2x+3) =180 degrees

             2x+3 +2x+3=180-90

2x+2x +3+3=90

4x+6=90

4x=90-6

4x=84

x=84/4

x=21

substitute x=21 in (2x+3)

2*21+3=45

Answer:

∠ MON = 15°

Step-by-step explanation:

∠ LOM + ∠ MON = ∠ LON, substitute values

9x + 44 + 6x + 3 = 77, that is

15x + 47 = 77 ( subtract 47 from both sides )

15x = 30 ( divide both sides by 15 )

x = 2

Thus

∠ MON = 6x + 3 = 6(2) + 3 = 12 + 3 = 15°

Only one of those is actually a prime factorization.  Demand better from your teacher.  Anyway, I think they're just asking us to take out the calculator and enter the multiplication into it.

5) 22 isn't prime, neither is 52.  Answer:  3432

6) 32 isn't prime.  Answer: 448

7) 33 isn't prime.  Answer: 165

8)  Finally a real prime factorization.  Answer: 106