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S
55°
W
Angle STV is a right angle.
The measure of angle STW is 55°.
The measure of angle WTV is xº.
What is the value of x?
to
Х
5
=
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Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

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

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

Answer:

9.067cm

Step-by-step explanation:

x--- amount by which the length is reduced

area=(18-x)(15)=134

(18-x)=134/15

x=18-(134/15)

x= 9.067cm

Answer:

292

Step-by-step explanation:

73 students in 1 group

4 groups all together

73 Students times 4 groups = amount of students all together

so 73x4=292

Answer:

angle j=104 degrees

angle m=  127 degrees

Step-by-step explanation:

angle n=53 degrees

angle h=104 degrees

angle m=180-53(angles on a staright line)

angle m=  127 degrees

angle j=104 degrees (vertically opposite angles)

Answer:

On the pic

Step-by-step explanation:

Sorry if my handwriting is bad

9514 1404 393

Answer:

  0

Step-by-step explanation:

Many authors do not recognize three points on a line as forming a triangle. This is because its area is zero. (The "base" is the length of the line segment; the "height" is the width of the line (zero).)

Answer:

Step-by-step explanation:

The number of different ways there for him to order the different steps of his morning routine will be 5040.

The arrangement of the different things or numbers in a number of ways is called the combination.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

It is given that every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie. Knut always takes his shower last.

The arrangement will be calculated as below:-

The number of the activities is 7.

The number of ways = 7!

The number of ways = ( 7x 6 x 5 x 4 x 3 x  2 )

The number of ways = ( 5040 ).

Therefore, the number of different ways there for him to order the different steps of his morning routine will be 5040.

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9514 1404 393

Answer:

  (6.8, 0.7)

Step-by-step explanation:

That point is ...

  A + (7/10)(B -A)

  = (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)

  = (-3, -7) +(9.8, 7.7) = (6.8, 0.7)

The point 7/10 from A to B is (6.8, 0.7).

Answer:

240m^3

Step-by-step explanation:

Volume = length x width x height.

5x12x4= 240

9514 1404 393

Answer:

Step-by-step explanation:

a) If we let B, L, F represent the elevations of the basement, lobby, and first floor, respectively, then we have ...

  B = -22

  L = 0

  F = 18

Your inequality could be either of ...

  B < L

  -22 < 0

__

b. We're not sure exactly the form you're looking for. Use whichever absolute value statement is appropriate to your needs.

  distance = |B -L| = |-22 -0| = |-22| = 22

__

c. The distance from the lobby to the first floor is |18 -0| = 18.

The distance from the lobby to the basement is |-22-0| = 22.

The distance 22 is greater than the distance 18, so the distance to the basement is greater.

_____

Additional comment

The difficulty with this question is not figuring out whether -22 is farther from 0 than is +18. The difficulty is in figuring out the form of the answer that is expected. Without looking at your curriculum materials, we cannot even make an appropriate guess.

Answer:

In total she will pay $615.60

Step-by-step explanation: Because 8% of 570 is 45.60 and if you add 45.60 to 570 you get 615.60.

Answer:

Slope = 3

y-intercept: - 7

y = 3x -7

Step-by-step explanation:

Answer:

45820

Step-by-step explanation:

the "10" means adding 1 zero to "4582" in place value

Hundred Thousand= 4

Thousand= 5

Hundred= 8

Tens= 2      

Units= 0

9514 1404 393

Answer:

  a) 0.8

  b) 0.05

  c) 0.01875

Step-by-step explanation:

The denominator will need to have equal powers of 2 and 5 to be a power of 10.

a) 4/5 = (4/5)(2/2) = 8/10 = 0.8

__

b) 1/20 = 1/(2²·5) = (1/20)(5/5) = 5/100 = 0.05

__

c) 3/160 = 3/(2⁵·5) = (3/160)(625/625) = 1875/10000 = 0.01875

Answer:

Can you put a fraction. It is 1/3

Use reduction of order. Given a solution [tex]y_1(x) = x^2[/tex], look for a second solution of the form [tex]y_2(x) = y_1(x)v(x)[/tex].

Compute the first two derivatives of [tex]y_2(x)[/tex]:

[tex]y_2 = x^2v \\\\ {y_2}' = x^2v' + 2xv \\\\ {y_2}'' = x^2v''+4xv' + 2v[/tex]

Substitute them into the ODE:

[tex]x^4 (x^2v'' + 4xv' + 2v) + x^3 (x^2v' + 2xv) - 4x^2 (x^2v) = 1 \\\\ x^6v'' + 5x^5v' = 1[/tex]

Now substitute [tex]w(x) = v'(x)[/tex] and you end up with a linear ODE:

[tex]x^6w'+5x^5w=1[/tex]

Multiply through both sides by [tex]\frac1x[/tex] (if you're familiar with the integrating factor method, this is it):

[tex]x^5w'+5x^4w = \dfrac1x[/tex]

Bear in mind that in order to do this, we require [tex]x\neq0[/tex]. Just to avoid having to deal with absolute values later, let's further assume [tex]x>0[/tex].

Notice that the left side is the derivative of a product,

[tex]\left(x^5w\right)' = \dfrac1x[/tex]

Integrate both sides with respect to [tex]x[/tex] :

[tex]x^5w = \displaystyle \int\frac{\mathrm dx}x \\\\ x^5w = \ln(x) + C_1[/tex]

Solve for [tex]w(x)[/tex] :

[tex]w = \dfrac{\ln(x)+C_1}{x^5}[/tex]

Solve for [tex]v(x)[/tex] by integrating both sides:

[tex]v = \displaystyle \int \frac{\ln(x)+C_1}{x^5} \,\mathrm dx[/tex]

Integrate by parts:

[tex]\displaystyle f = \ln(x) + C_1 \implies \mathrm df = \frac{\mathrm dx}x \\\\ \mathrm dg = \frac{\mathrm dx}{x^5} \implies g = -\frac1{4x^4} \\\\ \implies v = -\frac{\ln(x)+C_1}{4x^4} + \frac14 \int \frac{\mathrm dx}{x^5} \\\\ v = -\frac{\ln(x)+C_1}{4x^4} - \frac1{16x^4} + C_2 \\\\ v = -\frac{4\ln(x)+C_1}{16x^4}+C_2[/tex]

Solve for [tex]y_2(x)[/tex] :

[tex]\displaystyle \frac{y_2}{x^2} = -\frac{4\ln(x)+C_1}{16x^4}+C_2 \\\\ y_2 = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2[/tex]

But since [tex]y_1(x)=x^2[/tex] is already accounted for, the second solution is just

[tex]\displaystyle y_2 = -\frac{4\ln(x)+C_1}{16x^2}[/tex]

Still, the general solution would be

[tex]\displaystyle \boxed{y(x) = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2}[/tex]

Answer:

The answer is 52%

ssmoga membantu

Answer:

Step-by-step explanation:

[tex]\begin{array}{|c|c|c|c|c}day&1&2&3&4\\----&-----&-----&-----&-----\\Mary&\frac{1}{8} &\frac{2}{8} &\frac{3}{8} &\frac{4}{8} \\Assis&\frac{1}{12} &\frac{2}{12} &\frac{3}{12} &\frac{4}{12} \\Sum&\frac{1}{8}+\frac{1}{12}&\frac{2}{8}+\frac{2}{12}&\frac{3}{8}+\frac{3}{12}&\frac{4}{8}+\frac{4}{12}\\part&\frac{5}{24}&\frac{10}{24}&\frac{15}{24}&\frac{20}{24}=\boxed{\frac{5}{6}}\\----&-----&-----&-----&-----\\\end{array}[/tex]

The fraction of the catalog that is checked after 4 days is 5/6

If Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

Fraction is a combination of numerator and denominator. The number above division sign is known as numerator and the number below the division sign is known as denominator. It is in p/q form in which q cannot be equal to 0.

let the catalog contains 100 things.So in this way ,

In 1 day Mary does 100/8 things completed and her assistant does 100/12 things completed in 1 day.

So in four days they will complete =100*4/8+100*4/12

=400/8+400/12

=(4800+3200)/96

=8000/96

=1000/12

Hence if Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

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The fraud triangle is used to model the causes of frauds in an organization or company.

The scenario in her wife's company shows that the fraud leg that applies to Jessica is pressure.

From the question, we understand that:

Financial trouble as used in the question implies that her wife's company are in debts or mismanagement.

This means that Jessica is under pressure to commit fraud in her own company in other to assist her wife's company.

Hence, the leg of the Fraud Triangle best applies to Jessica's situation is pressure

Read more about fraud triangle at:

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[tex]\\ \rm\longmapsto \sqrt[3]{8}=2[/tex]

[tex]\\ \rm\longmapsto \sqrt[3]{-8}=-2[/tex]

Answer:

All integers have only one cube root.

Because it is an inverse of an odd degree (3) exponent.

And

Answer:

17 Ans is -3/7

Step-by-step explanation:

Let ( x1,y1)=(-3,8)

(X2,y2)=(-17,14)

By the formula,

slope (m)=y2-y1/x2-x1

=14-8/-17+3

=6/-14

=-3/7

Do others with same steps and process

Answer:

The choose A.

[tex]250 {x}^{3} - 16 \\ 2(5x - 2)(25 {x}^{2} + 10x + 4)[/tex]

I hope I helped you^_^

Answer:

Hence, total surface area of the pyramid is 360 cm².

Step-by-step explanation:

We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:

L²=H²+(s/2)²=122+(10/2)²=122+5²

=144+25=169⇒

L=(169)^1/2=13

The perimeter of the base is P=4s, since it is a square, therefore, 

P=4×10=40 cm

The general formula for the lateral surface area of a regular pyramid is LSA=1/2Pl where P represents the perimeter of the base and l is the slant height.

Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:

LSA=1/2Pl=1/2×40×13=260 cm²

Now, the area of the base B=s² with s=10 cm is:

B=s²=10²=100 cm²

The general formula for the total surface area of a regular pyramid is TSA=1/2Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.

Since LSA=1/2Pl=260 cm² and area of the base is B=100 cm², therefore, the total surface area is:

TSA=1/2Pl+B=260+100=360 cm²

Hence, total surface area of the pyramid is 360 cm².

Answer:

5 walnuts = 4 cups of pecans

8 walnuts = 9 cups of pecans

Answer:

10 cups of pecans.

Step-by-step explanation:

The ratio between pecans and walnuts are:   [tex]\frac{4}{5}[/tex]×8

So if we make a smaller batch with 1 cup of walnuts, we will need [tex]\frac{4}{5}[/tex] cup of pecans.

So for 8 cups of walnuts, we will need [tex]\frac{4}{5}[/tex] x 8 = 6,4 cups or [tex]6 \frac{2}{5}[/tex] cups of pecans.

I'm vietanh and good luck studying!

Step-by-step explanation:

Pls mark brainliest

Plssssssssssssssss

A percentage is a way to describe a part of a whole. The value of x is 5,000.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that 8.4% of x is 420. Therefore, we can write the given statement in the form of an equation as,

8.4% of x = 420

8.4% × x = 420

(8.4/100) × x = 420

x = (420 × 100)/8.4

x = 5,000

Hence, the value of x is 5,000.

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9514 1404 393

Answer:

Step-by-step explanation:

A circle is a plane figure, so the descriptor "in a plane" is part of the definition. The notion of "surrounding" is not defined, so does not specify any particular relationship.

The appropriate definition is ..

  the set of all points in a plane that are the same distance from a given point called the center

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Yeah, don't know how to explain :/

Step-by-step explanation:

Area= 13.86 cm²

πr²= 13.86 cm²

r= √13.81 ×7/22

r= 2.1 cm

Circumference= 2πr

= 2 × 22 × 2.1 / 7

=13.2 cm

Answer:

circumference is the outside area of a circle

area of the circle is the inside area

Answer:

so i think answer of this quiestion is option D

Answer:

122.6875 (122 ft 8.25 in)

Step-by-step explanation:

12 ft 7in = 151 in

9 ft 9 in = 117 in

151 x 117 = 17667

17667in = 122 ft and 8.25 in = 122.6875 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K