While you’re at the top of the tower(50 meters), you see an ant walking along the edge of the building. If the ant were to walk straight down the side of the tower until it reached the ground, how far would the ant travel? Which trigonometric ratio would you use to find this distance? Use the ratio to find the measurement.

Answer:

c

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

The Empirical Rule states that 68% of data is between 1 standard deviation in a dataset of normal distribution, 95% falls between 2 standard deviations, and 99.7% between 3.

The mean is 450, and one standard deviation is between 450 ± 50 = 400 and 500. Therefore, we can say that 68% of the data falls between 400 and 500 seconds.

The data includes 97 emergencies, so we just need to find 68% of that, which is 0.68*97 = 65.96 (rounding up to 66)

There are 66 emergencies are the response times expected between 400 seconds and 500 seconds.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

mean = 450 sec

standard deviation = 50 sec

Hence, We get;

450-50 =400

450+50=500

Now, In Between 400 sec and 500 sec means one deviation above and one deviation below the mean, and it is 68%.

68% = 0.68

Thus,

0.68 x 97 = 65.96 ≈ 66

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Answer:

C

Step-by-step explanation:

you are adding

-3√18=

-27

√16=4

-27+4=-23

Answer:

Similarly: yes

Similarly Statement: LMNO ≈ ZWXY

Scale factor: 2/7

Answered by GAUTHMATH

Answer:

h = 4sqr(3)

Step-by-step explanation:

r = d/2

d =  8

r = 8/2

r = 4

a = 4

c = 8

b = h = ?

a^2 + h^2 = c^2

4^2 + h^2 = 8^2

16 + h^2 = 64

h^2 = 64 - 16

h^2 = 48

sqrt(h^2) = sqrt(16*3)

h = 4 sqrt3)

Answer:

48

Step-by-step explanation:

Answer:

mn/100

Step-by-step explanation:

m/100 * n = number = mn/100

Assuming m and n are variables with no values.

Answer:

10

Step-by-step explanation:

E = F + V - 2

E = edges

F = faces = 6

V = vertices = 6

E = 6 + 6 - 2

E = 12 -2

E = 10

Answer:

5/2

Step-by-step explanation:

The square root of 5 divided by the negative square root of 5 equals -1. 7/2 - 1 = 5/2.

Answer:

{2,4,5,6,8,10,15,20}

Answer:

{ 2,4,5,6,8,10,15,20}

Step-by-step explanation:

D ∪ E

This means the union of the two sets or what is in both circles with no duplicates

{ 2,4,5,6,8,10,15,20}

Answer:

jejejjejejr

Step-by-step explanation:

uejejjejejjsjs

Answer:

Third option: (1, 0), (2, 0), and (–3, 0)

Step-by-step explanation:

The x-intercepts are the points at which the graph of the function crosses the x-axis.

By reading the question, we can see that:

"... crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0)..."

So the x-intercepts are:

(-3, 0)

(1, 0)

(2,  0)

Then the correct option is the third one:

"(1, 0), (2, 0), and (–3, 0)"

Answer: Option 3

Step-by-step explanation: Got it right on Edge

Answer:

Step-by-step explanation: Scale [tex]\frac{130}{100} = \frac{13}{10}[/tex]

New dimensions [tex]16 * 1.3 --- 24*1.3 =20.8 cm * 31.2 cm[/tex]

Answer:

UWUNOE BRO HUUZEM HIHUDHS

Step-by-step explanation:

9514 1404 393

Answer:

  can't be done. x = 6, not 36

Step-by-step explanation:

Without the diagram we must speculate that the 150 cm length is the hypotenuse. Then we have ...

  150² = (7x)² +(24x)² = (49 +576)x² = 625x² . . . . Pythagorean relation

  150²/625 = x² = 36 . . . . . divide by 625

  x = √36 . . . . . . . . . . . take the square root

  x = 6

Answer:

$5000 per year

Step-by-step explanation:

Given data

initial value of the computer= $30000

Final value = $0

Duration= 6years

Hence the rate of change in the value per year is

=30000/6

=$5000 per year

Answer:

x=[tex]\frac{y+1}{7}[/tex]

Step-by-step explanation:

Hi there!

We want to make x the subject of the formula, which means to solve the formula for x

Here is the given formula:

y=7x-1

Our ultimate goal is to isolate x onto one side

Start by subtracting 7x from both sides

y-7x=-1

Subtract y from both sides to remove it from the left side

-7x=-y-1

Divide both sides by 7

x=[tex]\frac{-y-1}{-7}[/tex]

Simplify (factor -1 out of the numerator and denominator, then cancel it out)

x=[tex]\frac{-1(y+1)}{(-1)(7)}[/tex]

x=[tex]\frac{y+1}{7}[/tex]

Hope this helps!

Answer:

x = 1/7(y+1)

or

x = 1/7 y + 1/7

Step-by-step explanation:

y= 7x-1​

Solve for x

Add 1 to each side

y+1 = 7x-1+1

y+1 = 7x

Divide each side by 7

1/7(y+1) = 7x/7

1/7y + 1/7 =x

Answer:

2200, 0.053 and t=7

Step-by-step explanation:

Intrest will be 3158. 1

Answer:

C. 2.

Step-by-step explanation:

The graph descends from the left  so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below.  The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.

f(x) = a(x + 20)(x - 6.5)(x - 13)   where a is  a negative constant.

(This is only an approximation).

By the Remainder theorem, when the expression is divided by (x + 10):

f(-10) = -20 so we have

-20 = a (-10 + 20)(-10-6.5)(-10 - 13)

(10)(-16.5)(-23)a = -20

a = -20 / (10)(-16.5)(-23)

a = -0.0053

When  the equation is divided by (x - 10) then f(10)  is the remainder so substituting we have as the remainder:

-0.0053(10+20)(10-6.5)(10 -13)

-0.0053 * 30 * 3.5 * -3

= 1.7 approximately.

Looks like the answer is 2.

Answer:

lemonade is 4:10 to ice or .4:1

Step-by-step explanation:

Assuming lemonade is 2 and tea is 5, you can use a table or multiply both reciprocals by 2 so 2x2 and 2x5 = 4:10. then if you want to see how much is in just once cup of tea divide by ten to each for the product of .4:1

Answer:  For every 2 cups of lemonade, there are 5 cups of iced tea.

if the ratio is 2:5 then for every 2 cups of lemonade there are 5 cups of tea.

it is just another way of saying the ratio

Answer:

shift of 1 unit to the right

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Given the parent function is y = x² , then

y = (x - 1)² is a shift to the left of 1 unit of the parent function

[tex]\boxed{\sf sin\theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{38}{53}[/tex]

[tex]\\ \sf\longmapsto sin\theta=0.7[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{1.4}[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto sin\theta=sin45°[/tex]

[tex]\\ \sf\longmapsto \theta=45°[/tex]

Answer:

x = 16.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 71 = x /5.7

5.7 tan 71 = x

x=16.55400

Rounding to the nearest tenth

x = 16.6

I am not understanding the language

Answer:

its Vietnamese

Step-by-step explanation:

I just dont understand what that type of math is? sorry ):

0.0910, I think.

-

-

-

-

-

-

-

My dyslexia did not like theese numbers

Answer:

3.18%

2 between 89   91

Step-by-step explanation:

*Probability-Between 3.18%

Z1=0.04 Z2=0.12

x-1 89

x-2 (not required) 91

µ 88

σ 25

Answer:

b because it is an expressio n

Step-by-step explanation:

Answer:

-x3+x2+3x+1

Step-by-step explanation:

V(x) + W(x) = -x2 + 2x - 4 + -x3 + 2x2 + x + 5= -x3+x2+3x+1

Answer:

Below.

Step-by-step explanation:

a. (x - √5)(x + √5)

= x(x + √5) - √5(x + √5)

= x^2 + √5x - √5x - 5

= x^2 - 5.

b. 10 - 3x^2

= (√10 - √3x) (√10 + √3x)

(a) Ahmad's factorization is correct.

(b)  (√10 - √3x)(√10 + √3x)

Given equation as

x² - 5 = (x - √5)(x + √5)

A Perfect Square is defined as when multiplying an integer by itself, we get a perfect square, which is a positive integer. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves.

Solution of (a)

Taking RHS from the given equation

⇒ (x - √5)(x + √5)

⇒ x(x + √5) - √5(x + √5)

⇒ x² + √5x - √5x - 5

⇒ x² - 5.

So, RHS = LHS

Hence, Ahmad's factorization is correct.

Solution of (b)

⇒ 10 - 3x²

According to Ahmad's strategy  

⇒ √10(√10 + √3x) - √3x(√10 + √3x)

⇒ (√10 - √3x)(√10 + √3x)

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Answer:

[tex]x=10[/tex]

Step-by-step explanation:

A secant is a line segment that intersects a circle in two places. One property of a secant is the product of the lengths ratio. This ratio can be described as the following, let ([tex]inside[/tex]) refer to the part of the secant that is inside the circle, and ([tex]outside[/tex]) refer to the part that is outside of it. ([tex]total[/tex]) will refer to the entirety of the secant or ([tex]inside+outside[/tex]). The numbers (1) and (2) will be used as subscripts to indicate that there are two different secants.

[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]

Substitute,

[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]

[tex](outside_1)(inside_1+outisde_1)=(outside_2)(inside_2+outside_2)[/tex]

[tex](6)(6+x+5)=(7)(7+x+1)[/tex]

Simplify,

[tex](6)(6+x+5)=(7)(7+x+1)[/tex]

[tex]6(x+11)=7(x+8)[/tex]

[tex]6x+66=7x+56[/tex]

Inverse operations,

[tex]6x+66=7x+56[/tex]

[tex]66=x+56[/tex]

[tex]10=x[/tex]