In your own words, explain why the ratios 3:2, 6:4 and 9:6 are all equivalent
ratios.

Answer:

31.8 m

Step-by-step explanation:    6   5  17  26

add up all the lengths to find the perimeter

or sum the multiplication of the common lengths

P = 6 × 4.4 m  + 2 × 2.7 m

  =  26.4 m  +  5.4 m

  =  31.8 m

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]

[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]

[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]

[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]

[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]

[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]

[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]

[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]

[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]

[tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]

۵ Hope I helped! ツ

☼Have a wonderful day / evening !☃

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Answer:

6x²+4x

Step-by-step explanation:

The given expressions are 3x²- 4x-4 and 3x²+8x+4.

We need to add these two expressions.

3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4

= 6x²+4x

On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x

Answer:

$20.85 less.

Step-by-step explanation:

City sales:

7% tax = 48.65

total bed cost = $743.65

Nearby City:

4% tax = 27.8

total bed cost = $722.8

city sale - nearby city

743.65 - 722.8

=20.85

Answer:    [tex]2\sqrt{7}[/tex]

When writing this on a keyboard, you would say 2*sqrt(7)

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

Explanation:

The formula we'll use is

A = 0.5*p*q*sin(R)

where R is the angle between sides p and q.

The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.

Plug in the given values and simplify to get the following

A = 0.5*p*q*sin(R)

A = 0.5*(x+4)*x*sin(60)

A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle

A = 0.25*(x^2+4x)*sqrt(3)

A = (0.25x^2+x)*sqrt(3)

Set this equal to the given area of A = sqrt(27) and solve for x

A = (0.25x^2+x)*sqrt(3)

(0.25x^2+x)*sqrt(3) = A

(0.25x^2+x)*sqrt(3) = sqrt(27)

(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom

0.25x^2+x = 3

(1/4)x^2+x = 3

x^2+4x = 12 .... see note2 at the very bottom

x^2+4x-12 = 0

(x+6)(x-2) = 0

x+6 = 0 or x-2 = 0

x = -6 or x = 2

A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.

Since x = 2, this means we have the following side lengths so far

Now apply the law of cosines to find the missing side.

r^2 = p^2 + q^2 - 2*p*q*cos(R)

r^2 = 6^2 + 2^2 - 2*6*2*cos(60)

r^2 = 36 + 4 - 24*1/2

r^2 = 40 - 12

r^2 = 28

r = sqrt(28)

r = sqrt(4*7)

r = 2*sqrt(7)

Side PQ is exactly 2*sqrt(7) units long

This approximates to 2*sqrt(7) = 5.2915

------------------------------------

Footnotes:

Answer:

132/100 or 1.32

Step-by-step explanation:

13/10=130/100

130/100+2/100=132/100

Answer:

132

Step-by-step explanation:

13/10+2/100=?/100

Get a common denominator of 100 for the first term

13/10  * (10/10)  +2/100=?/100

130/100 + 2/100 = ?/100

132/100   = ? /100

Answer:

a.    (x+2)(x+3)

b.   x = -2

     x = -3

Step-by-step explanation:

a.

split 5x into 2x + 3x

then, you get

x² + 2x + 3x + 6

Split into (x² + 2x) + (3x + 6)

factorize individual groups

x (x + 2) + 3 (x + 2)

combine x + 3

your final answer is

(x + 2) (x + 3)

b.

if (x + 2) (x + 3) = 0

then (x+2) = 0 and (x+3) = 0

x + 2 = 0

x = -2

x + 3 = 0

x = -3

Answer:

A)(x+2)(x+3)

B)(x + 2) (x + 3) = 0

x + 2 = 0

x = -2

x + 3 = 0

x = -3

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

Answer:

20

Step-by-step explanation:

Answer:

2) 0.0914

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.

This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What would be the margin error for this confidence interval?

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]

[tex]M = 0.0914[/tex]

Thus the margin of error is 0.0914, option 2).

Answer:

I added the answer as a screenshot, using math solvers is helpful for math problems, I haven't learned this yet but I found the answer. Also, I only need one more person to mark me brainliest to move onto the next level which is expert.

Hope I helped :)

Answer:

11 is one 0f them

Step-by-step explanation:

11x11

Answer:

0

Step-by-step explanation:

The slope is 0 as there is no x variable within the equation.

recall y=mx+c where m is the slope. y=3 so we are only given the y intercept.

to graph this simply draw a horizontl line that crosses (0,3).

Answer:

C)  3(x+7)²

Step-by-step explanation:

Answer:

A) (3x + 21)(x + 7)

Step-by-step explanation:

If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...

[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]

Therefore the answer is A)

Answer:

wheres the photo

Step-by-step explanation:

Answer:

A function is an expression in terms of a variable, usually x. Hence, that is not a function.

Step-by-step explanation:

What you have there are four sets of coordinates.

Answer:

no

Step-by-step explanation:

(1,5) (2,5) (1,-5) (2,-5)

This is not a function

To be a function each x must only go to one y

x=1 goes to both 5 and -5

x=2 goes to both 5 and -5

It is not a function

Answer:

depends on the size of the food

Step-by-step explanation:

He gave $100 to the local charity

Step-by-step explanation:

1/5 of 500 is 100

Answer:

$100

Step-by-step explanation:

This question asks how much of his money he gave to charity, meaning we must find 1/5 of 500. An easy way to mentally solve this is by dividing 500 into 5 separate, equal parts. This can be done by dividing 500 by 5. If you don't know what 500/5 is you can ignore the 0s for now and just divide 5/5, which is 1. Then, add the 0s back on for an answer of 100. Therefore, because 100 is 1/5 of 500 it must be the answer.

Answer:

2,29

Step-by-step explanation:

17,56 = 29,01 - 5x

5x = 29,01 - 17,56

5x = 11,45|:5

x = 2,29

Answer:

x =2.29

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

120 degrees

Step-by-step explanation:

a straight line is 180 degrees, so 180-60

Answer:

Slope is 2.

Step-by-step explanation:

So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:

Step 1 - [tex]x_2-x_1=change_.in_.x[/tex]

Step 2 - [tex]y_2-y_1=Change_.in_.y[/tex]

Step 3 - [tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]

So lets start by doing step one.

All we need is to look for two x values. Lets use 5 and 6:

6-5=1

So 1 is our change of x. This is our 1st step.

Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:

-1-(-3) = 2

So 2 is our change in y. This is our 2nd step.

Now lets plug this into:

[tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]:

[tex]\frac{2}{1} = 2[/tex]

So our slope is 2. Completing our 3rd and final step.

Hope this helps!

Answer:

3/14 of an hour

Step-by-step explanation:

9 hours/42 dollars

Answer:A

Step-by-step explanation:

Answer:

2 dozen hope this helps!!

4x-4=20

or, 4x=20+4

or,4x=24

or,x=20/4

tgerefore,x=5

Answer:

honesty i don't know fam

Answer:

Step-by-step explanation:

[tex]sin(2\theta)=2sin\theta~cos\theta\\\\cos(2\theta)=cos^2\theta-sin^2\theta\\\\cos\theta=\frac{24}{25}\\\\sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\we ~will~ use~ the ~minus~ sign~because~sin\theta~is~negative~in~IV~cuadrant\\sin\theta=-\sqrt{1-{(\frac{24}{25})}^2}=-\frac{7}{25}[/tex]

Now we cal calculate the quantities requested

[tex]sin(2\theta)=2sin\theta cos\theta=2(-\frac{7}{25})\frac{24}{25}=-\frac{336}{625}\\\\[/tex]

[tex]cos(2\theta)=cos^2\theta-sin^2\theta=(\frac{24}{25})^2-(-\frac{7}{25})^2=\frac{527}{625}[/tex]

[tex]tan(2\theta)=\frac{sin(2\theta)}{cos(2\theta)}=\frac{-\frac{336}{625}}{\frac{527}{625}}=-\frac{336}{527}[/tex]

Answer:

[tex]Height = 173.8ft[/tex]

Step-by-step explanation:

Given

[tex]\theta = 40^o[/tex]

[tex]d = 200ft[/tex] --- distance from building

[tex]h=6ft[/tex]--- height of the building

Let the height of the building be H. So:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(40) = \frac{H}{200}[/tex]

Make H the subject

[tex]H = 200 * \tan(40)[/tex]

[tex]H = 167.82[/tex]

The required height s:

[tex]Height = H + h[/tex]

[tex]Height = 167.82 + 6[/tex]

[tex]Height = 173.82ft[/tex]

[tex]Height = 173.8ft[/tex] --- approximately

Answer:

Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment

Step-by-step explanation:

a) Mr X Return

We have the compound interest formula as;

V = P(1 + r)^t

V is the value yielded after some certain amount t

Where P is the amount invested = R20,000

r is the yearly interest rate = 10/100 = 0.1

t = 5 years

so we have;

V = 20,000(1 + 0.1)^5 = R32,210.2

b) Mrs X return

We use the simple interest formula here;

A = P + I

I = PRT/100

where P, the principal is the amount invested = R20,000

R = 10%

T = 5 years

I = (20,000 * 10 * 5)/100

I = R10,000

A = R20,000 + R10,000

A = R30,000

Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment

Answer:

- 31

Step-by-step explanation:

4(3 − 2) − 7(5)

Subtract 3 - 2

4(1) - 7(5)

Multiple -7 and 5

4 - 35

Subtract 4 - 35

The correct answer is -31.

The simplified form of 4(3 − 2) − 7( + 5) is -31.

To simplify the given expression, using (PEMDAS/BODMAS) and simplify each part step by step.

4(3 − 2) − 7( + 5)

First, simplify the expressions inside the parentheses:

3 − 2 = 1

+ 5 = 5

then, the expression becomes:

4(1) − 7(5)

Next, let's perform the multiplications:

4(1) = 4

7(5) = 35

The expression now becomes:

4 − 35

Finally, let's perform the subtraction:

4 − 35 = -31

Therefore, the simplified form of 4(3 − 2) − 7( + 5) is -31.

Learn more about PEDMAS here:

https://brainly.com/question/24086845

#SPJ2

Answer:

c. 250

Step-by-step explanation: