Find the missing side of triangle

Find The Missing Side Of Triangle

Answers

Answer 1

Answer:

x = 50

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other two sides , then

x² = 48² + 14² = 2304 + 196 = 2500 ( take the square root of both sides )

x = [tex]\sqrt{2500}[/tex] = 50

Answer 2
48^2 + 14^2 = x^2
X= 50

Related Questions

The power 9 squared is equivalent to 81. What is the value of 9 Superscript negative 2?

Answers

Answer:

1/81

Step-by-step explanation:

9^2 = 81

We know that a^ -b = 1/a^b

9^-2

1/9^2

1/81

Answer:

1/81

Step-by-step explanation:

Edge

(25 POINTS)Please help me, and show all of your work step by step.
Now say you invest $6,500 and the highest interest rate you can find is 2.5% compounded annually, but you would have to leave this investment in the account for a minimum of 5 years. If you decide to wait 5 years to buy the car, how much more money will you have to save to buy a car at the price of $8,000? Use the compound interest formula A = P(1 + i)^n.
A = accumulated amount
P = principle
i = interest rate
n = number of years

Answers

Answer:

$ 645.85

Step-by-step explanation:

First you would plug 6,500 into P. The plug 2.5% as 0.025 into i. And plug the years (5) into n.

A = 6500 (1 + 0.025)^5 = 7354.15

That is the amount that would be in the account at the end of the 5 years.

Then you take the cost of the car (8,000) and subtract the money left in the account (7,354.15).

8000 - 7354.15 = 645.85

Your final answer would be rounded to the nearest cent, or the hundredths place.

DEFG is a cyclic quadrilateral. If ∠E = 27°, find ∠G.

Answers

For a cyclic quadilateral, the combination of opposite angles = 180°. So <G is opposite to <E so G must be 153°

please me in math
[tex] \frac{a + 1}{a - 1} + \frac{ {a - 1}^{2} }{a + 1} [/tex]

Answers

Step-by-step explanation:

hope this helps you thank you

[tex]\boxed{ \sf{Answer}} [/tex]

[tex] \large{\sf\frac{a + 1}{a - 1} + \frac{ {a - 1}^{2} }{a + 1}} [/tex]

Use the algebraic identities ⟶

[tex]{\sf(a - b)(a + b) = {a}^{2} - b ^{2}} [/tex][tex]{\sf(a + b) {}^{2} = {a}^{2} + 2ab - {b}^{2}} [/tex][tex]{\sf(a - b) {}^{2} = {a}^{2} - 2ab + {b}^{2}} [/tex]

Squaring on both the sides

[tex] {\sf\frac{(a + 1 {)}^{2} + ( {a - 1)}^{2} }{(a - 1)(a + 1)}} [/tex]

[tex]=\frac{ {a}^{2} + 2a + 1 + {a}^{2} - 2a + 1 }{ {a}^{2} - 1 } \\ = \frac{ {a}^{2} +\bcancel 2a + 1 + {a}^{2} - \bcancel2a + 1 }{ {a}^{2} - 1 } \\ = \frac{ {a}^{2} + {a}^{2} + 1 + 1 }{ {a}^{2} - 1}[/tex]

[tex]\large\boxed{\sf{⟹\frac{ {2a}^{2} + 2}{ {a}^{2} - 1 }}} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Evaluate the six trigonometric functions of the angle 0

Answers

# Sin θ = 9/15.

# Cos θ = 12/15.

# Cosec θ = 15/9.

# Sec θ = 5/4

Step-by-step explanation:

[tex]by \: using \: pythagorian \: triplets[/tex]

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {9}^{2} + {12}^{2} = {c}^{2} [/tex]

[tex]81 + 144 = {c}^{2} [/tex]

[tex]225 = {c}^{2} [/tex]

[tex]c = 15.[/tex]

[tex] \sin θ = \frac{9}{15} [/tex]

[tex] \cos θ = \frac{12}{15} = \frac{4}{5} [/tex]

[tex] \csc θ = \frac{15}{9} [/tex]

[tex] \secθ = \frac{5}{4} [/tex]

In the American version of the Game Roulette, a wheel has 18 black slots, 18 red slots and 2 green slots. All slots are the same size. A person can wager on either red or black. Green is reserved for the house. If a player wagers $5 on either red or black and that color comes up, they win $10 otherwise they lose their wager. What is the expected value of playing the game once

Answers

Answer:

-$0.26

Step-by-step explanation:

Calculation to determine the expected value of playing the game once

Expected value= [18/(18+18+2) x $5)]- [20/(18+18+2) x $5]

Expected value= ($18/38 x $5) - (20/38 x $5)

Expected value= ($2.37-$2.63)

Expected value= -$0.26

Therefore the expected value of playing the game once is -$0.26

answer nowwwwwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

7/6

Step-by-step explanation:

(7x/12)/(x/2)

=7/6

Answer: 7/6

Explanation: (7x/12)(x/2)

If b = -1, which one is the value of b^3?

Answers

Answer:

b=-1Put the value of b in b^3

[tex] \\ \sf \longmapsto \: b {}^{3} \\ \\ \sf \longmapsto \: { - 1}^{3} \\ \\ \sf \longmapsto \: 1 \times - 1 \\ \\ \sf \longmapsto \: - 1[/tex]

Hence b^3=-1

Help!!!!!!!!!!!!!!!!

Answers

502.5 = -502.5

Now

x = -502.5

= -5025/10

= -1005/2 feet

Answered by Gauthmath must click thanks and mark brainliest

Simplify and state the restrictions.
I gotta test due and im having a hardd time lmk ty

Answers

i am not sure for a)...

How long would it take for $5000 invested at 5% p.a. compound interest with yearly
rests to double in value?
5 years
7 years
10 years
14 years

Answers

Answer:

14

Step-by-step explanation:

10000 = 5000[tex](1.05)^{t}[/tex]

2 =  [tex](1.05)^{t}[/tex]

ln(2) = t ln(1.05)

t = ln(2)/ln(1.05)

[tex]\frac{\ln \left(2\right)}{\ln \left(1.05\right)}=14.20669\dots[/tex]

For $5000 invested at 5% p.a. compound interest with yearly rests to double in value, The time will be 14 years. So, option D is correct.

How to find the compound interest?

If n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually,

then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

For $5000 invested at 5% p.a. compound interest with yearly

rests to double in value, we need to find the time.

So,

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

[tex]10000 = 5000(0.05)^t\\\dfrac{10000 }{5000} = (0.05)^t\\2 = (0.05)^t\\ln(2) = t ln(1.05)\\t = \dfrac{ln(2)}{ln(1.05)}\\\\t = 14.21[/tex]

Hence, The time will be 14 years. So, option D is correct.

Learn more about compound interest here:

https://brainly.com/question/1329401

#SPJ2

A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 10 hours? What is the rate of speed of the jet?

Answers

980 miles

Step-by-step explanation:

5 hours =490miles

1 hour =490/5=98miles

10hours = 98×10=980miles

Bike speed of 21miles per hour. What is the speed per minute how many miles will the cyclist travel in 10 minutes

Answers

Answer:

First part: 0.35 miles per minute

Second part: 3.5 miles in 10 minutes

Step-by-step explanation:

Think about this as a fraction. Fractions can't be added nor subtracted unless they share the same denominator. So for this case, we have to turn hours into minutes. So 21 mph becomes 21 miles per 60 minutes. Then, we divide 60 from each side to find the speed per minute. 21/60 = 0.35, so the answer to the first part is 0.35 miles per minute.

Using what we got, we can answer the second part of the distance covered in 10 minutes. So, we just multiply 0.35 by 10 which is 3.5 miles covered in 10 minutes.

A mixture of jellybeans is to contain twice as many red as yellow, three times as many green as yellow, and twice as many pink as red. Red jelly beans cost $1.50 per pound, yellow cost $3.00 per pound, green cost $4.00 per pound, and pink only costs $1.00 per pound. How many pounds of each color jellybean should be in a 10 pound canister that costs $2.20 per pound?

Answers

There’s like 100 pounds

Help please, help me out

Answers

Answer:

2nd option x=-12.........

Solve for x in the inequality below. 4x-8<5x+4​

Answers

Answer:

Step-by-step explanation:

4x-8<5x+4

4x<5x+12

-x<12

flip sign

x > -12

Answer:

-12 < x

Step-by-step explanation:

4x-8<5x+4​

Subtract 4x from each side

4x-4x-8<5x-4x+4​

-8 < x+4

Subtract 4 from each side

-8-4 < x+4-4

-12 < x

Find the measure of angle BAC.

Answers

Answer:

[tex]\angle 72=BC-86/2[/tex]

[tex]144+86=BC[/tex]

[tex]BC=230[/tex]

[tex]BC=230/2[/tex]

[tex]\angle BAC= 115[/tex]°

~OAmalOHopeO

Translate sentence into equation

nine more than a product of a number and 4 is 8

Answers

Answer:

If x is the required number, equation will be 9+4x=8

Consider the graph below.

Which of the following piecewise functions is shown in the given graph

Answers

Answer:

[tex]f(x)=\begin{cases}x^2 + 3; & \text{ } x<1 \\ -2\cdot x+5; & \text{ } x\geq 1 \end{cases}[/tex]

Step-by-step explanation:

The y-intercept (when x = 0) on the quadratic graph is 3, the upper quadratic graph does not intersect the x-axis, and the endpoint of the function has an open circle that stops at x = 1. The starting point extends to the boundaries of the graph

Therefore, the piecewise function shown in the quadratic graph is given as follows;

f(x) = x² + 3; x < 1

The straight line graph has a negative slope and starts at x = 1, with a closed circle, extending to higher values of x to the boundaries of the graph

Two points on the straight line graph are (1, 3) and (5, -5), therefore, the slope is (-5 - 3)/(5 - 1) = -2

The equation of the function is y - 3 = -2·(x - 1)

∴ y = f(x)  -2·x + 2 + 3 = -2·x + 5

f(x) = -2·x + 5; x ≥ 1

What is the value of f(x) = 2 • 2 x for f(–2)?

Answers

Answer:

-8

Step-by-step explanation:

you know, all you have to do in such a case is simply taking the given -2 and put it, where there is "x" in the function expression and then calculate this. if necessary with a calculator.

2×2×x with x=-2 is

2×2×-2 = -8

Answer:

- 8

Step-by-step explanation:

f ( x ) = 2 . 2 x

f ( - 2 )

= 2 . 2 ( - 2 )

= 2 x 2 x ( - 2 )

= - 8

if anyone could help with any 3 or all of these questions it would be great!

Answers

Answer:

1. 90-68= 22

2. 90-80= 10

3. 90-3= 87

Step-by-step explanation:

A complement angle is found by their sum being 90 degrees. So, you are looking for the angle that would add to the given angle to = 90.

What is the value of the expression -5pqr when
p = 3, q= -5, and r = 2?

Answers

Answer:

150

Step-by-step explanation:

-5pqr

Let p = 3, q= -5, and r = 2

-5(3)(-5)(2)

-15(-5)(2)

75(2)

150

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{pink}{☆Answer}}}}}}:)}[/tex]

See this attachment

Helppppp please
What is the slope of the line shown below?

Answers

Answer:

A.

[tex]{ \tt{slope = \frac{ - 4 - 2}{ - 1 - 2} }} \\ \\ = { \tt{ \frac{ - 6}{ - 3} }} \\ = 2[/tex]

i need the last part of it pls help!

Answers

Answer:

Commutative

Step-by-step explanation:

Multiplication is Commutative. the term can be multiplied in either order. the product will be the same as the previous product.

OAmalOHopeO

What is the range of 58, 59, 57, 59, 55

Answers

Answer:

4

Step-by-step explanation:

Hi there!

Range = largest number from data given - smallest number from data given

From the given data, 58, 59, 57, 59, 55,

59 is the largest number and 55 is the smallest number

So the range = 59 - 55 = 4

!!! 25 POINTS HELP PLS

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. Select all that apply.

Answers

Answer:

Option (3)

Step-by-step explanation:

Given functions are,

f(x) = [tex]\frac{1}{4^x}[/tex]

g(x) = log(2x)

By using a graphing utility we can draw the graphs of the given system of equations.

Common points of the graph will be the solutions of the equations,

From the graph attached,

Solution of the functions is → (0.937, 0.273)

                                             → (0.9, 0.3)

Option (3) will be the answer.

Which function has a domain of all real numbers?

Answers

Answer:

c part ....

please mark brainlest

How do I solve this?

Answers

Answer:

y = 0.8x – 2

Step-by-step explanation:

Slope (m) =  

ΔY/ ΔX =  4 /5 = 0.8

y=.8x+b

plug in point

b=-2

please help me with this question <3

Answers

9514 1404 393

Answer:

  a) 30.7 million

  b) 1.5% per year

  c) 42.0 million

  d) 2017

Step-by-step explanation:

a) The initial population is P(0) = 30.7 (million). The exponential term is 1 when t=0, so this number is the multiplier of the exponential term.

__

b) The growth factor is the base of the exponential term: 1.015. The growth rate is the difference between this and 1: 1.015 -1 = 0.015 = 1.5%.

The population is growing by 1.5% per year.

__

c) Fill in the value and do the arithmetic. t=2021 -2000 = 21.

  P(21) = 30.7·1.015^21 ≈ 41.968 ≈ 42.0

The population in Canada in 2021 is predicted to be 42.0 million.

__

d) For this we need to solve for t when P(t) = 40.

  40 = 30.7·1.015^t

  40/30.7 = 1.015^t

Taking logarithms gives ...

  log(40/30.7) = t·log(1.015)

  t = log(40/30.7)/log(1.015) ≈ 17.773

In 2017, the population is predicted to be less than 40 million; in 2018, it is predicted to be more than 40 million. Canada should anticipate hitting 40 million people in 2017.

_____

Additional comment

The second attachment shows the prediction described here is a little high relative to the actuals in the last few years.

Write an equation of a polynomial with the given characteristics: a quadratic function has x -intercepts of -3 and 1, and a y-intercept of (0,9).

Answers

Answer:

f(x) = -3(x+3)(x-1)

Step-by-step explanation:

x = -3 & 1; f(x) = 9

f(x) = a(x-r1)(x-r2)

f(0) = a(x-r1)(x-r2) = 9; 9 = a(0-(-3))(0-1)

9 = a(3)(-1); 9 = a(-3)

a = -3

f(x) = -3(x+3)(x-1)

Answer:

f(x) = -3x^2 - 6x + 9.

Step-by-step explanation:

As the x intercepts are - 3 and 1 we can write it as:

f(x) = a(x - 1)(x + 3)    where a is a constant to be found.

As the - intercept is at (0, 9),  x =0 when f(x) = 9 so we can also write:

a( 0 - 1)(0 + 3) = 9

(-1)(3)a = 9

a = 9 / -3

= -3.

So the equation is f(x) = -3(x - 1)(x + 3)

In expanded form it is

-3(x^2 + 2x - 3)

= -3x^2 - 6x + 9.

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