The measures of the angle of a triangle are shown on the figure below. Solve for X.

Answer:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which:

The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:

[tex]x(t) = r\cos{(t)} + x_0[/tex]

[tex]y(t) = r\sin{(t)} + y_0[/tex]

In this question:

[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]

This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Answer:

(x - 3)² + (y + 4)² = 49

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + *y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, - 4) and r = 7 , then

(x - 3)² + (y - (- 4) )² = 7² , that is

(x - 3)² + (y + 4)² = 49 ← equation of circle

Answer:

8,978 People

Step-by-step explanation:

13,400 x 0.33 = 4,422

13,400 - 4,422 = 8,978

Answer:

87.5

Edited: Yea should be 56, misread it LOL.

Appoligise to that silly mistake

Step-by-step explanation:

Answer:

Step-by-step explanation:

Even I need help with that

Answer:

Step-by-step explanation:

Answer:

its blurry

Step-by-step explanation:

Answer:Just multiply Step-by-step explanation:do 12x10x20=2,400

Answer:

o . ooo 2 and dr 45009.7 ok byy

Step-by-step explanation:

7/10 in percentage form is 70%

70/100 in percentage form is 70%

Simple as that

It is proved that the given decimals are equivalent decimals.

Given are the fractions -

7/10 and 70/100

We have the following fractions -

A = (7/10) = 0.7

B = 70/100 = (7 x 10)/(10 x 10) = (7/10)

B = (7/10) = 0.7

It can be seen that fraction A equals to B.

Therefore, it is proved that the given decimals are equivalent decimals.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

Answer:

10.25%

Step-by-step explanation:

imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%

Hope this is correct :) I'm rly not sure now

Answer:

10%

Step-by-step explanation:

Answer:

$123.66

Step-by-step explanation:

53 divided by 3 is 17.66, which is how much one ticket will cost. 17.66 multiplied by 7 is 123.66

Step-by-step explanation:

6 customers per hour [tex]=1[tex] customer per 10 minutes

[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)

Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]

Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.

Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]

[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]

a)[tex] \begin{array}{c}

P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\

P(X<12)=0.699 \end{array}[/tex]

[tex]\begin{aligned}

&\begin{array}{c}

P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\

P(X>20)=0.1353

\end{array}\\[/tex]

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

Answer:

3

Step-by-step explanation:

the y axis

Answer:

V = J = 92

Step-by-step explanation:

The angles are the same on both shapes.

Answer:

94.56

Step-by-step explanation:

because 94,56 x 11.5 x 5 =4300

Answer:

Step-by-step explanation:

Equal installments can be found by

I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)

I=4300((1.00958-1)/(1.00958^60-1)+0.00958)

I=$94.56

Answer:

15°

Step-by-step explanation:

2x+5=3x

5=3x-2x

5=x

Now we can solve the angle.

<BAD=2x+5 = 2(5)+5 = 10+5 = 15°

Answer:

4

Step-by-step explanation:

because

8÷2=4

16÷4=4

24÷6=4

32÷8=4

Answer:

B. 12 in.

Step-by-step explanation:

Diameter = 5 in.

Diagonal = 13 in.

Apply Pythagorean theorem to find the height of the cylinder.

Thus:

13² - 5² = height²

144 = height²

√144 = height

12 in. = height

Answer:

B. 12 in.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2a-21 / b

2(4)-21/3

8-7=1

Answer:

1

Step-by-step explanation:

(FIRST THING FIRST REMEMBER PEMDAS)

First you rewrite the number sentence with the clues you got.

2 x 4 - 21 / 3

Then you do 2x4 to get 8, then you rewrite the # sentence again

8 - 21 / 3

Next you divide 21 / 3 to get 7 and rewrite the sentence again

8-7

FINALLY you subtract 8-7 to get 1

Answer:

the coordinates of b if it is reflected over the x-axis (-2,5)

Answer:

Volume of cuboid = 2000 m³

Step-by-step explanation:

Given the following data;

Base area = 500 m²

Height = 4m

To find the volume of a cuboid;

The volume of a cuboid is given by the formula;

Volume of cuboid = length * breadth * height

But remember, base area = length * breadth

Therefore, the volume of the cuboid becomes;

Volume of cuboid = base area * height

Substituting into the equation, we have;

Volume of cuboid = 500 * 4

Volume of cuboid = 2000 m³

Answer:

W + 5

Step-by-step explanation:

Given a number, W

An increase in W by a constant 5 ; can be expressed as ;

W plus the constant value increase

Hence,

Increase in W by 5 equals ;

W + 5

Answer:

OK I will dot this after getting 10 followers

Answer:

deez

Step-by-step explanation:

Answer:

3^3

Step-by-step explanation:

[27]^2/3 can also be written as,

[(3)^3]^2/3

Now we know that a^m * a^n = a^m+n, therfore,

[3]^ 3*2/3

Cut 3 and 3

Therefore, you get 3^3

Let me know if you understood. If you didnt I can try to explain it to you in another way.

Also, plz mark me as the brainliest!

Answer:

-3

Step-by-step explanation:

Slopes of a perpendicular line are the opposite reciprocal.

So, the opposite of 1/3 is -1/3.

Then the reciprocal of -1/3 is -3 (since -3 is -3/1).

Answer:

B: y= 3(1/3)^x

Step-by-step explanation:

I graphed it on Desmos

Answer:

I might be wrong but since ur in a rush: 173

Step-by-step explanation:

Answer:

287.25 miles in 5.75 hours

Step-by-step explanation:

so he was first driving at 48mph because 168/3.5=48

5 miles per hour faster than that is 53mph

53*2.25=119.25

then we add 119.25 and 168

Answer:

D) 36 cm^2

Step-by-step explanation:

(9 x 3) + (2 x 4.5)(2)(0.5) = 36 cm^2