Mathematics College

What is the value of x in the triangle?
3/2
X
help please<3

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

Assuming the acute angle are 45degrees

Hypotenuse = 3√2

Opposite = x

According to SOH CAH TOA

Sin 45 = opposite//hypotenuse

Sin 45 = x/3√2

1/√2 = x/3√2

Cross multiply

√2x = 3√2

x = 3

Hence the value of x is 3

Related Questions

Solve the equation to find the
value of x.
8.35x – 1.5 = 71.98

Answers

8.35x-1.5=71.98
Add 1.5 to both sides:
8.35x=73.48
Divide both sides by 8.35:
x=8.8

Answer:

x = 8.8

General Formulas and Concepts:

Pre-Algerba

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

8.35x - 1.5 = 71.98

Step 2: Solve for x

[Addition Property of Equality] Add 1.5 on both sides: 8.35x = 73.48[Division Property of Equality] Divide 8.35 on both sides: x = 8.8

Help ASAP
What is the solution to this equation? (1/4)^x+1 =32

Answers

Answer:

B. [tex]\displaystyle \frac{-7}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex] Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \bigg( \frac{1}{4} \bigg)^{x + 1} = 32[/tex]

Step 2: Solve for x

Rewrite: [tex]\displaystyle \bigg( \frac{1}{2^2} \bigg)^{x + 1} = 2^5[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle (2^{-2})^{x + 1} = 2^5[/tex]Exponential Rule [Powering]: [tex]\displaystyle 2^{-2(x + 1)} = 2^5[/tex]Set: [tex]\displaystyle -2(x + 1)} = 5[/tex][Division Property of Equality] Divide -2 on both sides: [tex]\displaystyle x + 1 = \frac{-5}{2}[/tex][Subtraction Property of Equality] Subtract -1 on both sides: [tex]\displaystyle x = \frac{-7}{2}[/tex]

Solve 2 + 3et+ 2 = 7 for x.

Answers

It’s the answer 6x2=-7

Let (fx)= -14x+3 and g(x) =x^2 +10
Find f(5)-g(5)=

Answers

Answer:

-102

Step-by-step explanation:

First, substitute the value into each equation and solve:

f(5) = -14(5) + 3 = -70 + 3 = -67

g(5) = (5)² + 10 = 25 + 10 = 35

-67 - 35 = -102

The initial number of views for a reader board is 25. The number of views is growing exponentially at a rate of 18% per week. What is the number of views expected to be four weeks from now?

Answers

Answer:

Step-by-step explanation:

n = 25(1.18)^4

n = 48.469444

Rounded to 48

Answer:

48 views.

Step-by-step explanation:

18% = 0.18 as a decimal fraction.

The increase in number of books per week is found by multiplying by 1.18.

The equation is an exponential one and is:

V = 25(1.18)^t where V = views and t = number of weeks.

So after 4 weeks :

V = 25 (1.18)^4

= 48.47

find the surface area of the composite figure

Answers

Answer:

[tex]=280[/tex] [tex]in^2[/tex]

Step-by-step explanation:

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

Let's find the surface area of the pink rectangular prism first.

[tex]2*10=20+20=40[/tex]

[tex]4*10=40+40=80[/tex]

[tex]4*2=8+8=16[/tex]

[tex]40+80+16=136[/tex]

The surface area for the pink rectangular prism is [tex]136[/tex] [tex]in^2[/tex].

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

[tex]4*7=28+28=56[/tex]

[tex]4*4=16+16=32[/tex]

[tex]56+56+32=144[/tex]

The surface area for the green rectangular prism is 144 [tex]in^2[/tex].

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

[tex]136+144=[/tex]

[tex]=280[/tex] [tex]in^2[/tex]

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

Hope this is helpful.

9514 1404 393

Answer:

224 in²

Step-by-step explanation:

There are a couple of ways to go at this. Here, we choose to figure the areas of each of the prisms individually, then subtract the "hidden" area where they are joined together.

The area of a prism is ...

A = 2(LW +H(L+W))

Pink area:

A = 2(10·4 +2(10+4)) = 2(40 +28) = 136 . . . square inches

Green area:

A = 2(7·4 +4(7+4)) = 2(28 +44) = 144 . . . square inches

One 4 in × 7 in face of the green prism meets with a similar area of the pink prism, so the area hidden at that interface is 2(4·7) = 56 square inches. Then the total surface area of the composite figure is ...

SA = 136 in² +144 in² -56 in² = 224 in²

A payday loan company charges a $90 fee for a $500 payday loan that will be repaid in 16 days.

Treating the fee as interest paid, what is the equivalent annual interest rate?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Interest amount paid on loan = $90

Principal value, amount borrowed = $500

Period, t = 16 days

The equivalent annual interest :

Using the simple interest formula :

simple interest = principal * rate * time

Using, days of year = 365

Plugging in the values into the formula :

90 = 500 * rate * (16/365)

90 = 500 * rate * 0.0438356

90 = 21.917808 * rate

Rate = 90 / 21.917808

Rate = 4.10 = 4.10 * 100% = 410%

If days of year = 360 is used :

90 = 500 * rate * (16/360)

Rate = 90 / 22.222

Rate = 4.05 = 4.105 * 100% = 405%:

Solve this pls help

How did the Californian gold rush have an effect on people?

Answers

Answer:

The gold rush has a big impact on people. Especially since it helped shaped the course of California's development by bringing economic growth.

PLEASE HELP QUICKKKKKKKK

Answers

9514 1404 393

Explanation:

Using a random number generator to choose coefficients, we can substitute the required solution to find the constants in the equations. Here is one possible set of equations.

17x +7y +8z = 6

12x -6y +z = -16

14x +8y +11z = 16

Additional comment

"Standard form" requires the x-coefficient be positive. Truth be told, the random number generator came up with negative numbers for the first and last equations (on the second try). On the first try, it came up with a couple of zero coefficients. Such is the behavior of random numbers.

The trick with choosing a set of numbers "by hand" is doing it in such a way that the equations are independent.

What is the 45th digit in the decimal equivalent of 3/7

Answers

Answer:

1/7 = 0.142857 since this decimal is repeating divide 45/6(number of repeating numbers) and it gives you 7.5 so you know that it repeats this sequence 7 times plus an extra 3 numbers so the 45th decimal is 2

Step-by-step explanation:

If my answer is incorrect, pls correct me!

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

Answer:

3/7 = 0.428571 which is also considered a number that keeps repeating.

PLSSSS ANSWER!!!!!!!!!

Answers

Which one did you need help with?

What is the value of x? Round the answer to the nearest tenth.
DONT RESPOND WITH A LINK!!!!!!!

Answers

Answer:

i believe x is 16.1

Step-by-step explanation:

hope this helps

What is this function’s input if its output is 11?

f(x) = 2x + 5

Answers

Answer:

the input x is 3

Step-by-step explanation:

2x+5=11

2x=6

x=3

the input is 3 #speakingfromthehesrtbfletcher

Which expression is equivalent to the given expression?

6ab/(a^0b^2)^4

Answers

Answer:

,here is the answer

Step-by-step explanation:

here is your answer

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 66 different TVs, 1212 types of surround sound systems, and 1818 types of DVD players. How many different home theater systems can you build

Answers

Answer:

You can build 1296 different home theater systems.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

There are:

6 different TVs

12 types of surround sound systems.

18 types of DVD players.

How many different home theater systems can you build?

The components are independent, so, by the fundamental counting principle:

6*12*18 = 1296

You can build 1296 different home theater systems.

Question
Which of the following is equivalent to 1-12 + 3/?

Answers

d because if you look and add them there the exact the same

Which option shows the graph of 3y+18>5x

Answers

Hi, I'm so sorry I can't answer that. but I have something you can answer that. Search in browser or anything searcher that you have "Quickmath" or "Cymath" all your equations,problems can solved

Step-by-step explanation:

i hope it helps

Pppppppllllssss help

Answers

nah you good g shsgshagagagag

shshagsggsgsgwg

There are 12 adults, 24 girls and 6 boys in a room.
Work out the ratio of adults to girls to boys.
Write the answer in its simplest form.

Answers

Answer:

12:24:6- divide by 3

4:8:2 - divide by 2

2:4:1- simplest form

Find(g-f)(x)
f(x)=1/x
g(x)=x^2+2x-5

a. 1/x-x^2-2x+5
b.1/x+x^2+2x-5
c.x^2+2x-5-1/x
d.1/x+x^2-5

Answers

Answer:

x^2+2x-5 - 1/x

Step-by-step explanation:

f(x)=1/x

g(x)=x^2+2x-5

(g-f)(x) = x^2+2x-5 - 1/x

Answer:

c. x² + 2x - 5 - 1 / x

Step-by-step explanation:

f ( x) = 1 / x.

g ( x) = x² + 2x - 5

so,

( g - f) ( x) = x² + 2x - 5 - 1 / x

Souta wants to compare the mean of his test scores in French class to the mean absolute deviation.

Language Test Scores

French Scores

76

62

94

80

He uses the steps below to find both the mean and mean absolute deviation.

French Scores

Step 1
Add the scores.
76 + 62 + 94 + 80 = 312

Step 2
Divide the sum of the scores by 4.
312 divided by 4 = 78

Step 3
Add the differences between the mean and each score.
(76 minus 78) + (62 minus 78) + (94 minus 78) + (80 minus 78) = 0
Step 4 Divide by 4.
StartFraction 0 over 4 EndFraction = 0

In which step did Souta make the first error?
Step 1
Step 2
Step 3
Step 4

Answers

step 1 add score
76 + 62 + 94 + 80 + = 312

step 2 bye score 4 312 divided by 4 = 78

sana po makatulong

I believe it is step 4

60.3 60.44 witch one is greater

Answers

60.44 is greater than 60.3
-you can see this when you subtract 60.3 from 60.44 this would leave a 0.11 which is a positive number.
-thus meaning 60.44 is larger/greater.

A triangle has two sides length 10 to 14 wht value could the length of the third side be

Answers

Answer:

[tex]4 < c < 24[/tex]

Step-by-step explanation:

Given

[tex]a = 10[/tex]

[tex]b = 14[/tex]

Required

The possible length of c

Using triangle inequality theorem, we have:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

So, we have:

[tex]a + b > c[/tex]

[tex]10 + 14 > c[/tex]

[tex]24 > c[/tex]

Also:

[tex]a + c > b[/tex]

[tex]14 + c > 10[/tex]

[tex]c > 10 - 14[/tex]

[tex]c > - 4[/tex]

Lastly;

[tex]b + c > a[/tex]

[tex]10 + c > 14[/tex]

[tex]c > 14 - 10[/tex]

[tex]c > 4[/tex]

Write out all inequalities without negative consideration

[tex]24 > c[/tex]

[tex]c > 4[/tex]

Rewrite as:

[tex]c < 24[/tex] [tex]4 < c[/tex]

Writing both together, we have:

[tex]4 < c < 24[/tex]

Hence, the third side can take its value from the range: [tex]4 < c < 24[/tex]

How many distinct 5 digit numbers can be formed from the list of numbers
{0,1,2,3,4,5,6,7,8,9}such that the number
i. Is an even number
ii. Is a Odd number
iii. Multiple of 5
iv. Never ends with {2,3,4,5}

Answers

Case 1: A 5 digit number with the digits {1,2,3,4,5}. Since 0 is not a part of this set and there are 5 different digits, we can form a total of 5P5 = 5! = 120 numbers.

x^3y+2x^2y^2+xy^3 and 2x^3+4x^2y+2xy^2 Find the HCF.

Answers

Answer:

[tex]x(x+y)^2[/tex]

Step-by-step explanation:

We are given that

[tex]x^3y+2x^2y^2+xy^3[/tex] and [tex]2x^3+4x^2y+2xy^2[/tex]

We have to find HCF.

[tex]x^3y+2x^2y^2+xy^3=xy(x^2+2xy+y^2)[/tex]

=[tex]xy(x+y)^2[/tex]

By using the formula

[tex](x+y)^2=x^2+2xy+y^2[/tex]

[tex]xy(x+y)^2=x\times y\times (x+y)^2[/tex]

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

[tex]=2x(x+y)^2[/tex]

[tex]2x(x+y)^2=2\times x\times (x+y)^2[/tex]

HCF of ([tex]x^3y+2x^2y^2+xy^3,2x^3+4x^2y+2xy^2[/tex])

[tex]=x(x+y)^2[/tex]

What are the three plot points and is it over the x-axis or y-axis

Answers

Answer:

(-2,1), (0,1), and (2,0). its over the y axis

Step-by-step explanation:

Answer:

shift it 3 values right and 2 units up

Step-by-step explanation:

moving x-axis and moving y-axis

At Dubai English School, 549 students use buses to go to school. If this number is 75% of the total school enrollment, then how many students are enrolled in total?

Answers

732 is the answer have a nice day and I hope you pass your exam or complete your homework

A. If I do something for 30 seconds every day for a whole year, how long did I do it in total.

B. If I do something for 10 seconds every day for a whole year, how long did I do it in total.

Answers

Answer: 120 minutes

Step-by-step explanation:

Answer:

A. 10,950 seconds, 182.50 minuets, and about 3 hours

B. 3,650 seconds, about 60 minuets, or about 1 hour.

Step-by-step explanation:

A. We can multiply the seconds by the days in a year to get our answer, and we can simply divide if we want to get the amount of minuets or hours.

B. Same thing as "A", but all we do here, is multiply 10 by 365. :)

I took 18 pencils from the box. this is equivalent to 2/5 of the total number of pencils.
How many pencils were there in the box originally. Show your work.

Answers

45
if 18 is 2/5, than 9 is 1/5. That means that 5/5 is 45.
Hope this helps!

Answer: 45 pencils were in the box originally

Step-by-step explanation:

Suppose there were x pencils in the box originally. Since 18 pencils is equal to 2/5 of the total number of pencils in the box originally, set 18 equal to 2/5x or

18=2/5x

Now solve

x = 18x5/2 = 45

If f(x)=x^2−8x and g(x)=−12x^2 what is g(f(−4))?

Answers

Answer:

-27648

Step-by-step explanation:

In this problem, we are looking for the function of g in terms of the function f. Simply put, we just replace the variable x in the function g with f(-4).

Step 1, writing g(f(-4)):

[tex]g(f(-4))=-12(f(x))^2[/tex]

Great! Let us substitute f(x) with the given expression.

Step 2, substituting and simplifying:

[tex]\\g(f(-4))=-12(x^2-8x)^2\\g(f(-4))=-12((-4)^2-8*(-4))^2\\g(f(-4))=-12(16+32)^2\\g(f(-4))=-12*2304\\g(f(-4))=-27648[/tex]

g(f(-4) is [tex]\fbox{-27648}[/tex].

I hope this helps! Let me know if you have any questions :)

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What is the value of x in the triangle? 3/2 X help please<3

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What is the value of x in the triangle?
3/2
X
help please<3