What is the value of x? E Enter your answer in the box.​

What Is The Value Of X? E Enter Your Answer In The Box.

Answers

Answer 1

Step-by-step explanation:

Right away i notice the 45° angle and the 90° angle in triangle RTQ, this means that the remaining angle must be 180-(90+45)=45°.

If it isn't obvious yet, triangle RTQ is a right isosceles triangle where RT=RQ=x.

Now looking at my other triangle RST

I know that RT=x, RS=23 and ST is unknown.

So i cannot apply my Pythagorean theorm.

HOWEVER i do notice 60 degree angle and the 90 degree angle, which means that the last angle must be 180-(90+60)=30° and this triangle (RST) must be a half equilateral triangle;,

Now i can use the relation which describes the relation between the hypotenuse(x) and the side opposite or facing the 60° angle (RS=23).

RS=x√3/2

2RS=x√3

2×23=x√3

43=x√3

43/3=x

x=4 :P


Related Questions

What are the solution(s) for the quadratic equation?

Y=x^2-2x+1

Answers

[tex]\\ \rm\rightarrowtail x^2-2x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-x-x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-1)-1(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1[/tex]

10. deshawn installs a shelf bracket. what is the
widest shelf that will fit without overhang?
explain.

Answers

When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.

How to calculate the width?

From the complete information, the other two sides have been given as 4 inches and 5 inches.

The Pythagoras theorem will be used in this case and it goes thus:

4² + Width² = 5²

Width² = 5² - 4²

Width² = 25 - 16

Width² = 9

Width = ✓9

Width = 3

In conclusion, the width is 3 inches.

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-7i x -1
I just need to multiply these 2 numbers but i forgot how to

Answers

The answer to -7i x -1 equals 7 i

Write 1.5 as an improper fraction and mixed number in simplest form.

Answers

Answer:

1 1/2 (mixed)

3/2 (improper)

Step-by-step explanation:

When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.

good luck :)

3/2

is the answer to this question

Which value should she use as the common ratio?

0.05
0.5
1.05
5.0

Answers

Answer:

0.5

Step-by-step explanation:

0.5

I guess i am 70% sure

Omar owns a small business selling ice-cream. He knows that in the last week 32
customers paid cash, 2 customers used a debit card, and 26 customers used a credit
card.
a
a
If next week, he is expecting 1500 customers, about how many would you expect to
pay with a debit card? Round your answer to the nearest whole number.
a

Answers

The number of customers who will pay by debit card will be 50.

What are fractions?

The fraction is defined as the division of the whole part into an equal number of parts.

Last week there were

32 + 2 + 26 = 60 customers.

That means that the fraction of the customers, who paid by debit card, was

2/60  =   1/30

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

1500  × 1 / 30 = 1500  /  30  = 50

Therefore the number of customers who will pay by debit card will be 50.

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You are given two offers for a monthly wage. Option A is to be paid one cent on the first day of the month, with your wages doubling each day (2 cents on day 2, 4 cents on day 3, 8 cents on day 4, etc.) for the rest of this 30 day month. Option B is to be paid $1 on the first day of the month, with your wages increasing $100 each day ($101 on day 2, $201 on day 3, $301 on day 4, etc.). Which option will give you more money by the end of the month? Make sure to support your answer. Also remember to find the equations for the exponential function and the linear function. Substitute 30 in for x and simplify.

Answers

Answer:

Step-by-step explanation:

Option B

Because if you start with one dollar and by day 3 you get 301 dollars and option A only gives you 8 cents on day 3 you get more money by the end of the month if you choose option B.

Answer: A is the correct answer

Step-by-step explanation:

Its a because the amount keeps doubling so you will start with =

.1 then go too .2 (which is double .1)

then after .2 you will get .4( which is double .2 i will show you the graph.

.1,  .2,  .4,  .8,  1.6,   3.2,   6.4 etc. Then when you get to day 30 you will have

53.687 million dollars, buy the end of them month, you'd be a millionaire.

Complete the square to transform the expression x2 4x 2 into the form a(x − h)2 k. (x 2)2 − 2 (x 2)2 2 (x 4)2 − 2 (x 4)2 2.

Answers

The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form  [tex](x+2)^2-2[/tex].

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

write in the form of [tex](x+y)^{2}[/tex]

[tex]\rm x^{2} +2xy + y^{2}[/tex]

2y = 4

y = 2

so, [tex]\rm x^{2} +4x + 2^{2}[/tex]

we will now convert it into the form

[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]

substitute the values

[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]

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

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

Thus, [tex](x+2)^2-2[/tex] is the correct form.

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A wooden block has a mass of 55 grams, correct to the nearest gram. A) Find the least possible mass of the wooden block. B) The volume of the wooden block is 19cm3, correct to the nearest cubic centimetre. Find the greatest possible mass of 1 cubic centimetre of the wood.​

Answers

Answer:

A) 54.5g, B) 1.4g

Step-by-step explanation:

Find the lower bound of 55 and the upper bound of the cubed root of 1. the cubed root of 1 is 1 and the upper bound of that is 1.4

Given h(r) = 5r-5,find h(2)

Answers

hello!

[tex]===================================[/tex]

let's find the value of h(2)

we know that

h(r)=5r-5

which means

h of r is 5 times r minus 5

hence

h of 2 is 5 times 2 minus 5

simplify:

h(2)=5(2)-5

h(2)=10-5

h(2)=5

[tex]==================================[/tex]

note:-Hope everything is clear; if you need any more explanation/clarification, kindly ask me, and I will comment and/or edit my answer :)

Answer:

5

Step-by-step explanation:

h(2)=5r-5

=5×2-5

=10-5

=5

Suppose $a(x) = 3x - 7$ and $b(x) = 2 - x^3$. What is the value of $a(b(3)) - b(a(3))$?

Answers

Answer:

-76

Step-by-step explanation:

b(3)=2-3^3 = -25.

So a(b(3))=a(-25)=3(-25)-7=-82.

a(3)=3(3)-7=2.

So b(a(3))=2-2^3 = -6.

Therefore, the value of the desired expression is -82-(-6)=-76

The value of the required function [tex]a(b(3)) - b(a(3))[/tex] is (-88).

What is a function?

"A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}

A relation is said to be a function if every element of set A has one and only one image in set B.

A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element."

Given two functions are:

[tex]a(x) = 3x - 7\\b(x) = 2 - x^{3}[/tex]

When the value of 'x' is 3, then the values of the given two functions are:

[tex]a(3) \\= 3x - 7\\= 3(3)-7\\= 9-7\\= 2[/tex]

[tex]b(3)\\= 2 - x^{3}\\= 2-(3)^{3}\\= 2-27\\= -25[/tex]

Now the value of the required function is:

[tex]a(b(3)) - b(a(3))\\= a(-25)-b(2)\\= [3(-25)-7]-[2-2^{3}]\\= (-75-7)-(2-8)\\= -82-6\\= -88[/tex]

Therefore, the value of the required function is (-88).

Learn more about a function here:

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hello, please answer the question, please show work

Answers

14 1/4
you just multiply the two

please answer these quickly i need this

Answers

Answer:

A

Step-by-step explanation:

find the total surface area of the net below.

Answers

Answer:

78,4 cm^2

Step-by-step explanation:

I did this in my head so i could be wrong but im pretty certain this is right

To solve this equation for x, we must get x by itself. How would we do this?
X + 4 = 7
A. Add 4 to both sides.
B.Subtract 4 from both sides.

Answers

Answer:

B

Step-by-step explanation:

If you were to add 4 to both sides, you would have X + 8 = 11

But when you subract, you get X = 7-4, X = 3.

Is this equation an identity? (2x+1)^2-(x+1)^2=3(x+1)^2-1

Answers

Answer:

See below, please

Step-by-step explanation:

Left side

[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]

[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]

[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]

[tex] = 3 {x}^{2} + 2x[/tex]

Right side

[tex]3 \times {(x + 1)}^{2} - 1[/tex]

[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 2[/tex]

After compared with both sides, we can make a conclusion that

This equation isn't an identity.

calculate the value of s and t​

Answers

Answer:

s = 4, t = 1.2.

Step-by-step explanation:

y = k/x   (Inverse variation, k is some constant)

Substituting:

2 = k/3

k = 2*3 = 6

So the relation is y = 6/x.

So 1.5 = 6/s

s = 6/1.5 = 4.

t = 6/5 = 1.2.

HELP ME PLEASE
I HATE THE BOTS

How many times more is 2 ^ 10 than 2^ 6
Answer Choices
12
16
8

Answers

Answer:

16

Step-by-step explanation:

Evaluate the two in order to compare them.

2^10=2*2*2*2*2*2*2*2*2*2=1024

2^6=2*2*2*2*2*2=64

The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16

The answer is 16! Hope this helps ^^



A customer buys three packets of cookies that
cost $0.55 each and a packet of pasta that costs $6.92
She gives the shop assistant $20
How much change should she receive?

Answers

11.43 hope you have a good day
.55x3=1.65 then add 6.92+1.65=8.57 then 20-8.57=11.43 she receives $11.42 as change

3
14) There are seven million, eight hundred and fifty-four thousand,
three hundred and eight people in a country. i lleda
Round this number to the nearest ten thousand people.

Answers

Answer:

7,854,000

because the 308 people would have to be at least 500 to round up to 7,855,000

What is the AREA of the figure

Answers

The area is 30 I believe

Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help

Answers

Answer:

  x > -3

Step-by-step explanation:

The function will be increasing where its derivative is positive.

__

  y = x^2 +6x . . . . . given function

  y' = 2x +6 . . . . . . . derivative

The derivative is positive for ...

  2x +6 > 0

  2x > -6

  x > -3 . . . . . domain where the function is increasing

Please help me!!! I don't know!
txcfygvubhjnlkm

Answers

Answer:

See explanation

Step-by-step explanation:

look photo

What would you drink to survive a extra 30 years?

A. Lean
B. Orange Juice
C. Mug

Answers

Lean bc I LOVE LEAN!!!

Write a real-world problem that can be solved using the equation:
7.5 + x = 16
PLEASE HELP ME

Answers

Answer:

8.5

Step-by-step explanation:

7.5 + 8.5 = 16

X=8.5 hope this helps

compute (5 2/3)^2-(4 1/3)^2

Answers

Answer:

40/3

Step-by-step explanation: If you have a calculator type in (5 2/3)^2-(4 1/3)^2. To get 40/3. So in short, square (5 2/3)^2 to get 289/9 and square (4 1/3)^2 to get 169/9. Then subtract the two 289/9-169/9 to get 40/3.

Please Hurry! I will award the first person right the brainlyest award

Answers

Answer:

y = -3

Step-by-step explanation:

When you graph it on a graphing calculator or on desmos, it appears to be at y = -3

This i-ready lesson is hurting my brain, anyway I need help on this one ‍

Answers

Answer:

I am pretty sure it is 100in^3 + s^3

can someone help me with this please ​

Answers

Answer:

40 ft^2

Step-by-step explanation:

Composite shapes make a square and rectangle

4 x 4 = 16

6 x 4 = 24

24 + 16 = 40

Answer:

24 unless my mind died

Step-by-step explanation:

8+16 :D

What is the area of this figure?

Answers

Answer:

Step-by-step explanation:

Answer:

140.5 square yards

Step-by-step explanation:

split the triangle from the shape: 8+7=15yd

area of triangle = 1/2 x base x height

= 1/2 x 5 x 15

=37.5 square yards

split the rectangle from the shape: 7+2=9yd

area of rectangle = length x width

= 11 x 9

= 99 square yards

split the square from the shape

area of square = n squared

= 2^2

= 4 square yards

add them all up: 37.5+99+4

= 140.5 square yards is the final answer

my bad if you can't read the working out in the picture

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