Find the unknown side length, x.

What are you trying to get? ill edit my answer once you tell me.

Answer:

x is 23 degrees

Answer:

5 StartRoot 2 EndRoot ft its B

Step-by-step explanation:

The height of the roof is 5 StartRoot 2 EndRoot ft

Since the triangle is isosceles, hence the base angles will be 45 degrees

Using the SOH CAH TOA identity;

Given

Substitute

Cos 45 = h/10

h = 10cos45

h = 10 * 1/√2

h = 5√2

Hence the height of the roof is 5 StartRoot 2 EndRoot ft

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Answer:

Distance between the points (-9,2) and (-4,2):

D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5

=> Option A is correct

Answer:

B.13

Step-by-step explanation:

In order to solve the distance between two points you need the distance formula which is -> Distance = √  (x1 - x2)^2 + (y1 - y2)^2  

-9 would be x1 and -4 would be x2(so the first numbers of both sets)

Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)

You plug in the numbers to the formula.

Which would be:

Distance = √  (-9-4)^2 + (2-2 )^2

Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.

Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.

You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.

First off, notice that this is a right triangle.

You can use this to help write equation.

Equation : x+ (4x-85)=90. The correct answer is "c"

Answer:

B

Step-by-step explanation:

Answer:

english plz !!!!!!!!!!

Step-by-step explanation:

Answer: 5.6

Step-by-step explanation:

70 * 8/100

70 * .08

Answer:

Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. ... Conditional relative frequency numbers are the ratio of a joint relative frequency and related marginal relative frequency

Answer:

Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. ... Conditional relative frequency numbers are the ratio of a joint relative frequency and related marginal relative frequency.

Step-by-step explanation:

Answer:

81 has the most factors of 3

Step-by-step explanation:

To conclude which of the following options has the most factors of 3, take each of the number's prime factorization, which will help us solve the problem.

( 1 ) 81 is a composite number and is 9 squared. Knowing that 3 squared = 9, we can say that the prime factorization of 81 = 3 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] 3, which can also be denoted as 3⁴.

( 2 ) 270 is a composite number. The exponents in the prime factorization are 1, 3, and 1, and therefore it's prime factorization is - 3 [tex]*[/tex] 5 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 3, composed of 3 3s.

( 3 ) If we put all of it together we have the factors 3 x 3 x 3 x 37 = 999. It can also be written in exponential form, with 3 to the power of 3 - hence having 3 factors of 3.

And finally the value 3333 has the prime factorization of 3 [tex]*[/tex] 11 [tex]*[/tex] 101, and as you can see it has 1 factor of 3. 81, having 4 factors of 3, is present with the most factors, and therefore is our solution.

Number 81 has the most number of factor 3. Option A is correct.

A number from the options to be determined that has the most number of factor 3.

factors can be defined by splitting the value into multipliable values.

Here,
Factors of 81 = 3,3,3,3            Number of factor 3 = 4
Factors of 270 =2,3,3,3,5       Number of factor 3 = 3  
Factors of 999 =3,3,11             Number of factor 3 = 2
Factors of 3333 = 3,11             Number of factor 3 = 1
As per the above comparison, 81 has the most number of factor 3.

Thus, Number 81 has the most number of factors 3.

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Answer:

46 cm

Step-by-step explanation:

2(5*1) = 10

2(1*3) = 6

2(3*5) = 30

add all those together and you get 46

Answer:

See explanation

Step-by-step explanation:

A circle is a figure where all of the points on its graph are equidistant from a single, central point. You can define a circle in a plane with the formula (x-h)^2+(y-k)^2=r^2, where h represents the x coordinate of the center, k represents the y coordinate, and r represents the radius. Hope this helps, and feel free to ask for more clarification!

A circle is the set of all points in a plane that are a fixed distance, called the radius, from a fixed point, called the center.

In addition, all radii of a given circle are congruent.

Answer:

A.5

B.4

C.4

D.20

Step-by-step explanation:

I just did it and they are all right

Answer:

the answer is:

5

4

4

10

Step-by-step explanation:

sorry if im wrong but i did it on ed ty!!!!!!!

Answer:

84 milligrams of caffeine

Step-by-step explanation:

5% of 140 is 7, and if its 5% every hour then you take away 7 for every hour, if there are 8 hours then its 7*8=56. You then subtract that number from 140 which is equal to 84

Answer:

Step-by-step explanation:

145 = 2x + 15

2x = 130

x = 65 (ANS)

Answer:

65º

Step-by-step explanation:

145º = (2x + 15)º

145º = (2x + 15)º

145º - 15º = 2xº + 15º - 15º

130º = (2x)º

x = 65º

Answer:

Step-by-step explanation:

x = 105

the angle vertically opposite to x is 105 as it is corresponding to 105

and corresponding angles are equal

since vertically opposite angles are equal too, then x = 105 too

Answer:

Step-by-step explanation:

x = 105 {alternate exterior angles are equal}

When two parallel lines are intersected by the transversal, alternate exterior angles are equal

Answer:

its D 100%

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

Got 100% today :0

Answer:

V =221.4 m^3

Step-by-step explanation:

The volume is given by

V = Bh

Where B is the area of the base

The base is the triangle

B = 1/2 (12) * 4.1

B = 24.6

The height of the figure is 9

V = 24.6 *9

V =221.4 m^3

Answer:

221.4 m³

Step-by-step explanation:

Volume = base area × height

Base area: ½ × 4.1 × 12 = 24.6 m²

height: 9 m

Volume = 24.6 × 9 = 221.4 m³

Answer:

Domain: x >0

Range : y < 0

Step-by-step explanation:

Step-by-step explanation:

The simplest possible form of f(n) is:

f(n) = n² + bn + c

f(n) / (n + 1) has a remainder of -12, so:

n² + bn + c = (n + p) (n + 1) − 12

n² + bn + c = n² + (1 + p)n + p − 12

b = 1 + p and c = p − 12

f(n) / (n + 2) has a remainder of -24, so:

n² + bn + c = (n + q) (n + 2) − 24

n² + bn + c = n² + (2 + q)n + 2q − 24

b = 2 + q and c = 2q − 24

Setting the expressions equal:

1 + p = 2 + q and p − 12 = 2q − 24

1 = p − q and p = 2q − 12

Solving the system of equations:

1 = q − 12

q = 13

p = 14

b = 15, c = 2

Therefore, f(n) is:

f(n) = n² + 15n + 2

Using grouping:

f(n) = n² + 3n + 2 + 12n

f(n) = (n + 1) (n + 2) + 12n

f(n) / ((n + 1) (n + 2) = 1 + (12n) / ((n + 1) (n + 2))

The remainder is 12n.

Answer:

B

Step-by-step explanation:

Given W varies inversely as t² then the equation relating them is

W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation

To find k use the condition W = 12 when t = 2, thus

12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

k = 48

W = [tex]\frac{48}{t^2}[/tex] ← equation of variation

When W = 27, then

27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )

27t² = 48 → B

B)  27 t² = 48 will be the algebraic equation for t if W = 27.

In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.

Given W varies inversely proportional to t² then the algebraic equation relating them is

W =  k / t² is the constant of variation

for k we can use the condition W = 12 when t = 2,Hence,

12 =  k / 2²

k = 48

When W = 27, then

27 = 48 / t²  ( multiply by t² )

Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.

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Answer:

The value of z-y is 14x/5

Step-by-step explanation:

The value of x decreased by 80% is → x - x * 80/100 = x - x*4/5 = x/5. This also equals to y → y = x/5.  (1)

The value of x increased by 200% is → x + x * 200/100 = x + 2x = 3x. This also equals to z → z = 3x.  (2)

If you substitute the values from the equation 1 and equation 2, the value of z - y → (3x) - (x/5) = 14x/5

Answer:

2102.13 mm^2

Attached is a completed image of the question

Step-by-step explanation:

Given;

Radius of the circle r = KL = 27.1 mm

Angle of unshaded region = 32°

The total angle in a circle is 360°

Angle of shaded region θ = 360° - angle of unshaded region.

θ = 360° - 32° = 328°

The Area of a circle = πr^2

Area of shaded region A = (θ/360)πr^2

Substituting the given values;

A = (328/360)×π × 27.1^2

Area of shaded region A = 2102.13 mm^2

Answer:

she will be left with 25 dollars

Step-by-step explanation:

2.50 x 8=20

20+3+2=25

Answer:

Answer is 25 dollars.

Step-by-step explanation:

3$- 50 dollars= 47.

2.50 x 8= 20 dollars.

20$ -47 = 27.

2$- = 25

Answer:

Step-by-step explanation: d-12=? So D would have to be -3

Answer:

368 square feet of orange paint.

292 square feet of grey paint.

Step-by-step explanation:

Here is a picture of my work that you can follow to show how i did it. hope this helps!

Answer:

sorry don't know

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

65/63.

Step-by-step explanation:

65 is the hypotenuse, and JK is opposite angle < I  so

csc < I = hypotenuse / opposite side

= 65/63.

Answer:

y = – 3x + 4 and 3y = – 9x + 12, y = –3x + 4 and y = –6x + 8

Step-by-step explanation:

Consider all Options as to solve this problem;

Option A; Here we are given equations y = – 3x + 4 and y = – 3x – 4. A system of equations can only have infinitely many solutions if the two equations are one in the same, such that their graphical representation overlap one another. Now the difference between the two equations is that the second has a y - intercept of - 4, rather 4 such that they are not one in the same equation.

Option B; We are given the following equations; y = – 3x + 4 and 3y = – 9x + 12. Convert the second equation to point - slope form, so that they can easily be compared, by dividing the second equation by 3: 3y = –9x + 12 ⇒ y = - 3x + 4. y = - 3x + 4, and y = - 3x + 4 are one in the same equation, thus this system of equations has infinitely many solutions.

Option C; The equations y = –3x + 4 and y = - 1/3x + 4 are most certainly not the same provided the second equation has a slope of - 1 /3 comparative to that of the first equation's slope, - 3.

Option D; y = –3x + 4 and y = –6x + 8, are one in the same, as if yoy multiply the first equation by 2 you receive the second; y = –6x + 8

Solution( s ); y = – 3x + 4 and 3y = – 9x + 12, y = –3x + 4 and y = –6x + 8

The system of equations y = –3x + 4 and 3y = –9x + 12y has infinitely many solutions.

We need to find the system of equations below has infinitely many solutions.

The condition for the system of lines that has infinitely many solutions is [tex]\frac{a_{1} }{a_{2}} =\frac{b_{1} }{b_{2}}=\frac{c_{1} }{c_{2}}[/tex].

Now, y +3x - 4=0 and 3y+9x - 12=0

3/9=1/3=-4/-12=1/3

Therefore, the system of equations y = –3x + 4 and 3y = –9x + 12y has infinitely many solutions.

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