Find the length of the third side. If necessary, round to the nearest tenth.
24
14

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:

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

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:

Step-by-step explanation:

Even I need help with that

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

the y axis

Answer:

[tex]9x + x - 4x = 6x[/tex]

they're all like terms so we just add and subtract

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:

5a - 8b

Step-by-step explanation:

Mr Davis buys 5 package of a glue stick

= 5a

Mr. Wilson buys 8 packages of b glue sticks

= 8b

Therefore the difference in the total is

5a-8b

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:65

Step-by-step explanation:

Answer:

87.5

Edited: Yea should be 56, misread it LOL.

Appoligise to that silly mistake

Step-by-step explanation:

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:

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

Step-by-step explanation:

I graphed it on Desmos

Answer:

o . ooo 2 and dr 45009.7 ok byy

Answer:

OK I will dot this after getting 10 followers

Answer:

deez

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

26 is 65% of 40

Answer:

Carter scored 21 points

Step-by-step explanation:

If Denise scored 3 fewer points, then you would add three to 18 to get the number of points that Carter scored.

18 + 3 = 21

Answer:

X^7

Step-by-step explanation:

3+4=7

Answer:

20 minutes

Step-by-step explanation:

Method 1:

(0.75)/(0.25)=(1)/(x)

0.75*1.333333=1, so multiply 0.25 by 1.333333 to find the value of x!

0.25*1.333333=0.33333, or one-third of an hour, or 20 minutes.

Method 2:

(0.75)/(0.25)=(1)/(x)

Cross-multiply

0.75x=0.25

(0.25)/(0.75)=x

x=0.33333 hours

Emily will use 20 minutes or 1/3 hour to walk 1 mile.

Note that 3/4 = 0.75

1/4 hour = 1/4 × 60 = 15 minutes

Let the amount of time that it takes Emily to walk 1 mile be represented by x.

Therefore, the equation to solve the question will be:

0.75 /1 = 15/x

Cross multiply

(0.75 × x) = (1 × 15)

0.75x = 15

x = 15/0.75

x = 20

Therefore, Emily will use 20 minutes or 1/3 hour to walk 1 mile.

Read related link on:

https://brainly.com/question/21405634

Answer:3kg of small bag costs £10.20 while 3kg of the medium bag costs £11.40. Hence, the bag with better value which is the cheapest is a 3kg of the big bag which costs £3.9

Step-by-step explanation:

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:

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:

-236

Step-by-step explanation:

Step 1 (plug in x and y): [tex](2)(6)(2)-(8)(6)(5)-(2)(5)(2)=[/tex]

Step 2 simplify): [tex](24)-(240)-(20)[/tex]

Step 3 (evaluate): [tex]-236[/tex]

Answer:

60% of 60 is 36. The answer should be 36

Step-by-step explanation:

60 / 100 * 60

0.6 * 60

36

Just divide the number by 100 and multiply it by the percentage.

Mark me as brainliest if you want to.

Answer:

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

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:

700,000

Step-by-step explanation: