Determine the unknown side lengths’ to the nearest tenth. for the first question and also please help with question 6

Answer: 15 sides

Step-by-step explanation: Because the sum of the outer angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equivalent outer angles and therefore 15 vertices and sides to the polygon

Answer: angle is 24 degrees meaning that a regular polygon has more than 6 sides hope this is helpful

Step-by-step explanation:

Answer:

[tex]h = 15.163\ meters[/tex]

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

[tex]tan(30) = (h - 1.5) / x[/tex]

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

[tex]tan(45) = (h - 1.5) / (x - 10)[/tex]

So rewriting both equations using the tangents values, we have that:

[tex]0.5774 = (h - 1.5) / x[/tex]

[tex]1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)[/tex]

From the first equation, we have that:

[tex]x = (h - 1.5) / 0.5774[/tex]

Using this value of x in the second equation, we have that:

[tex]h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10[/tex]

[tex]h + 8.5 = \frac{ (h - 1.5) }{0.5774}[/tex]

[tex]0.5774h + 4.9079 = h - 1.5[/tex]

[tex]0.4226h = 6.4079[/tex]

[tex]h = 15.163\ meters[/tex]

Answer:

donda esta laletcha

Step-by-step explanation:

hola

Answer:

1/4 or 25% chance

Step-by-step explanation:

the probability of getting each question right is 1/2, so for getting 2 questions right its 1/2 × 1/2, which is 1/4

The probability that a student that guesses gets at least 2 questions correct is 1/4.

The probability of getting a question correct is the same as the probability of getting a question wrong.

The probability of getting the question is correct is;

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

The probability of getting the question is wrong is;

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

Therefore,

The probability that a student that guesses gets at least 2 questions correct is;

[tex]= \dfrac{1}{2} \times \dfrac{1}{2}\\\\= \dfrac{1}{4}[/tex]

Hence, the probability that a student that guesses gets at least 2 questions correct is 1/4.

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Answer:

Term to add is (3/8)^2 = 9/64

Step-by-step explanation:

Here, we want to know the value that must be added to make the equation a perfect square.

x^2 - 3/4x = 5

x^2 -3/4x -(3/8)^2+ (3/8)^2 = 5

x^2 -3/4x + (3/8)^2 = 5 + (3/8)^2

= (x-3/8)^2 = 5 + (3/8)^2

So the term to add is (3/8)^2 = 9/64

Answer:

[tex]\dfrac{9}{64}[/tex]

Step-by-step explanation:

Given the equation: [tex]x^2-\frac{3}{4}x=5[/tex]

To make the left hand side of the equation a perfect trinomial, we follow these steps.

Step 1: Divide the coefficient of x by 2.

Coefficient of x [tex]=-\frac{3}{4}[/tex]

[tex]-\frac{3}{4} \div 2 =-\frac{3}{8}[/tex]

Step 2: Square your result from step 1

[tex]\implies (-\frac{3}{8})^2 \\=\dfrac{9}{64}[/tex]

Therefore, to make the Left-Hand side a  perfect-square trinomial, we add 9/64.

Answer:

(x+11)(x-2)

Step-by-step explanation:

To factorise: x^2+9x-22

You must first divide the centre term in such a way that the sum of the 2 values will be divisible by x squared and minus 22 respectively.

So x^2+9x-22 = x^2 -2x + 11x - 22.

Now factorize x^2 - 2x and 11x-22 individually.

x^2 - 2x = x(x-2)

11x - 22 = 11(x-2)

Since these both have the same value in the brackets, use 5at one of the brackets and the other is the combination of them together:

(x+11)(x-2)

Hope this helps

Answer: (x + 11)(x - 2)

Step-by-step explanation: Since the constant term is negative, it can be factored as a positive times a negative.

Before we do that however, an x will go in the first position

of each binomial because x² breaks down into x · x.

Remember, the factors of the constant term

must add to the coefficient of the middle term.

So let's list out the factors of -22.

Factors of -22

+22 · -1

-22 · +1

+11 · -2

-11 · +2

Looking at the list above, that pair

of factors that add 9 is +11 and -2.

So our answer therefore is (x + 11)(x - 2).

Note that if you wrote your answer

as (x - 2)(x + 11), it means the same thing.

Answer:

95 degrees

Step-by-step explanation:

All triangles have an interior measure of 180 degrees

180-41-44=95

Answer:

95 degrees

Step-by-step explanation:

Answer:

The correct answer is 25/32

Step-by-step explanation:

Let's recall that the division of two fractions is the same as multiplying the first fraction by the inverse or reciprocal of the second fraction. We get the reciprocal of a fraction by interchanging its numerator and denominator.

Upon saying that, we have:

5/8 ÷ 4/5 =

5/8 * 5/4 = (We use the inverse and not it is a multiplication)

25/32

The correct answer is 25/32

Answer:

When n is 1

3n+4

=3*1+4

=3+4

=7

When n is 2

3n+4

=3*2+4

=6+4

=10

When n is 3

3n+4

=3*3+4

=9+4

=13

When n is 4

3n +4

=3*4+4

=12+4

=16

When n is 10

3n+4

=3*10+4

=30+4

34

Answer:

The equation of the tangent is [tex]y=-\frac{8}{15}x+\frac{289}{15}[/tex].

Step-by-step explanation:

Center = (0, 0). Point on the circle = (8, 15).

OP is a radius. The slope of the radius = [tex]\frac{15-0}{8-0}=\frac{15}{8}[/tex].

The tangent is perpendicular to the radius.

So, its slope is = [tex]-\frac{8}{15}[/tex].

The tangent passes through (8, 15).

So, the equation is:

[tex]y-15=-\frac{8}{15}\left(x-8\right)\\y-15=-\frac{8}{15}x+\frac{64}{15}\\y=-\frac{8}{15}x+\frac{289}{15}[/tex]

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Answer:

A) 21/20

Step-by-step explanation:

Tangent = Opposite/Adjacent

Answer:

The correct option is (B).

Step-by-step explanation:

The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.

For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.

In this case it is provided that:

The statement:

"the probability that a student who is a licensed driver is a male"

Is a statement of conditional probability.

This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.

Thus, the correct option is (B).

Answer:

x = 2 and x = +2

Step-by-step explanation:

It's essential that you use parentheses to clarify what's happening here:

h(x)=x-4/x^2-4  =>  h(x)=(x-4) / (x^2-4)

We have vertical asymptotes at x values at which the denominator (x^2 - 4) is zero.  That would be x = 2 and x = +2.

Answer:

x=2 f(x)=5-x

o≤x≤3  f(x)=x

2＜x＜3 f(x)=1

3＜x≤5  f(x)=5-x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The demand is 50 and the supply is 45. Since 50 > 45 the answer is that the demand is greater than the supply.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

= x^2+6x+9-8=0

=x^2+6x+1=0

D=b^2-4ac

D= 36-4

D=32

x=-b±root D/2a

x=-6+4root2/2     ,    x = -6-4root2/2

simplify you get the least form...

hope it helps

Answer:

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 5 ] , thus

f(b) = f(5) = - 26 ← value of y for x = 5 from table

f(a) = f(3) = - 10 ← value of y for x = 3 from table

average rate of change = [tex]\frac{-26-(-10)}{5-3}[/tex] = [tex]\frac{-16}{2}[/tex] = - 8 → A

Answer:

Step-by-step explanation:

The attachment will help you with your question:

Answer:

A=250(1+2.5)^4/12

Step-by-step explanation:

A=250(1+0.1)^t

compounded  quarterly : divide the annual by 4 : 0.1/4=0.025 or 2.5%

2.5% every  3 month (quarterly), t=4/12 (quarterly)

the equation will be :

A=P(1+r/n)^t (p is the principal),r is the rate, n is the number of compounding , t is the time.

i hope it works, just try it

A=250(1+2.5)^4/12

Answer:

hi skkedklsk sn1. soosis

Answer:

42=7(x+5)

42=7x+35

42-35=7x

7=7x

X=7/7=1

Answer:

4.4

Step-by-step explanation:

Write the question out as an equation:

7+x/3 = 2x - 5

Rearrange , simplify and solve:

7+x = 3(2x-5) = 6x - 15

7+x = 6x-15

6x - 15 = 7+x

6x = 7+x+15 = 22+x

6x = 22+x

6x-x = 22

5x = 22

x = 4.4

hope this helps.

Good Luck.

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Answer:

Step-by-step explanation:

7+x/3=2x-5

taking 3 on the RHS

7+x=6x-15

22=5x

x=22/5

=4.4

Answer:

b

Step-by-step explanation:

Answer:

[tex]x = p(m-n)[/tex]

Step-by-step explanation:

m = n + [tex]\frac{x}{p}[/tex]

Subtracting n to both sides

=> m-n = [tex]\frac{x}{p}[/tex]

Multiplying p to both sides

=> [tex]x = p(m-n)[/tex]

Answer:

x=p(m-n)

Step-by-step explanation:

m =n + x/p

x/p=m-n

x=p(m-n)

Answer:

First Option

Step-by-step explanation:

When we graph the expression, we should see that an infinite amount of y-values work. Since the domain comprises of all working x-values, we have (negative infinity, positive infinity) or all real numbers as our range, since we have an infinite amount of y-value outputs.

Answer:

Step-by-step explanation:

To find x we use cosine

cos∅ = adjacent / hypotenuse

x is the adjacent

8√3 is the hypotenuse

cos 30 = x / 8√3

x = 8√3 cos 30

To find y we use sine

sin∅ = opposite / hypotenuse

y is the opposite

8√3 is the hypotenuse

sin 30 = y / 8√3

y = 8√3 sin 30

Hope this helps you

Answer:

The 3rd one is correct.

Step-by-step explanation:

Answer:

1.5mg

Step-by-step explanation:

From the question, we are told that the HCP prescribed 7.5 mg of PO weekly

The therapeutic dosage is given in the question as 5 - 15 mg/m² weekly.

The child's body surface area is given = 0.6m²

The mg of PO that the nurse should administer in each of the three doses given weekly is calculated as

7.5mg/ 5mg/m²

= 1.5 mg of PO

Answer:

1/2 or 0.5

Step-by-step explanation:

1/3 divided by 2/3

1/3 times 3/2

3/6

1/2, or 0.5

Answer:

1/2

Step-by-step explanation:

1/3 ÷2/3= 1/3×3/2( this is because fractions cannot be divided and the reciprocal of the fraction by which 1/3 had to be divided has to be taken which makes 2/3 as 3/2 and division as multiplication)

so, 1/3×3/2 gives 3/6, when simplified, gives 1/2.

Answer:

8

Step-by-step explanation:

10-8 x 2 = 4

2 x 2 = 4

4 = 4

The number is 8, which is when subtracted from 10 and the result is multiplied by 2, then the result is 4.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Let the required number is x.

According to given condition,

When x is subtracted from 10 and the result is multiplied by 2, final result comes as 4.

Implies that,

2 (10 - x) = 4

10 - x = 2

x = 10 - 2

x = 8

The required number is 8.

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Answer: The width is x-6

Step-by-step explanation:

To find the with factor out the area x^2 - 11x + 30

[tex]x^{2}[/tex] - 11x +30  to factor it find two numbers that multiply to get 30 and add up to get -11 . And that two numbers are -6 and -5 .

[tex]x^{2}[/tex] - 5x - 6x + 30   now group them

([tex]x^{2}[/tex] - 5x) (-6x+ 30)   factor them out.

x(x - 5) - 6(x -5)   Factor x-5 out  

(x-5)(x-6)  since the length is x-5 then the width is x-6.