Answers
(60)tan(x/4sq14)
Once you find this answer, apply it to the opposite of the 60° angle on the far right.
Then you are going to do the solution of the equation I just stated above, times 4sq14 using the Pythagorean theorem theory shown down below.
a^2 + b^2 = c^2
first answer^2 + 4sq14^2 = C^2
C^2 will then provide the short legs of the larger triangle (they are congruent lengths in a 45-45-90 triangle)
Multiply the value of c times c without squaring either of them, like so, this will lead to the answer of X
C times C = “x”
Hope this helps!
Related Questions
Need some help please.
Answers
Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
What are the Rules of Exponents?Some of the rules of exponents to be applied are as follows:
[tex]x^0 = 1\\\\x^m \times x^n = x^{(m + n)}\\\\x^{-m} = \frac{1}{x^m} \\\\x^m \div x^n = x^{(m - n)}\\\\[/tex]
What are Equivalent Expressions?If two expressions have the same value, both are said to be equivalent expressions.
1. [tex]3^2 \times 3^{-5} = 3^{2 - 5}\\\\[/tex]
[tex]3^-3 = \frac{1}{3^3} = \frac{1}{27}[/tex]
Answer: H
2. 3³/6² = 27/36 = 3/4
Answer: R
3. [tex]\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}[/tex]
Answer: M
4. 7²/7² = 49/49 = 7° = 1
Answer: J
5. 8^-2 = 1/8² = 1/64
Answer: A
6. (4²)(4³) = 4^(2 + 3) = [tex]4^5[/tex]
Answer: L
7. (3²)³ = 3²*³ = [tex]3^6[/tex]
8. 4° × 4^-1 = 1 × 1/4 = 1/4
Answer: E
9. [tex]\frac{(2^4)^3}{(2^7)(2^5)} = \frac{2^{12}}{2^{12}}[/tex] = 1
Answer: U
10. [tex](3^2)^{-1} = 3^{-2}[/tex]
Answer: I
11. [tex]1^{98}[/tex] = 1
Answer: D
12. [tex]y^{10} \div y^5 = y^{10 - 5} = y^5[/tex]
Answer: F
13. [tex]8^{-2} \times 8^4 = 8^{(-2 + 4)}[/tex] = 8² = 64
Answer: S
14. [tex]2^{-3} \times 3^{-2} =[/tex] 1/2³ × 1/3² = 1/8 × 1/9 = 1/72
Answer: O
15. [tex]\frac{3^2}{3^2} = 3^{2-2} = 3^0 = 1[/tex]
Answer: N
16. [tex](\frac{1}{2} )^{-1} = (2^{-1})^{-1}[/tex] = 2
Answer: T
Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
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Science!
In the process of combustion, a fuel such as coal undergoes _________________.
Answers
Answer
Burning of coal undergoes combustion reaction. Combustion reaction is a type of reaction in which chemical species experiences oxidation by undergoing a reaction with the oxidizing agent which results in the emission of energy in the form of heat. It is an exothermic process.
Step-by-step explanation:
What is the missing term?
Answers
Consider the following system of equations.
1. 75x + 1. 25y = 2. 75
7x + 5y = 9
What is the solution to the system?
Since 11 ≠ 9, there is no solution.
Since 0 = 0, there are infinitely many solutions.
There is one solution, x = 0 and y = 0.
There are two solutions (11, 0) and (0, 9)
Answers
Multiply the upper system by -4:
[tex] - 7x - 5y = - 11[/tex]
[tex]7x + 5y = 7[/tex]
[tex]0 = - 3[/tex]
[tex]this \: system \: admits \: no \: solutions[/tex]
Find the surface area of the prism:
Answers
Answer: the prism has a surface area with 920
1. Find the value of X and Y:
2. Find the value of X:
Answers
Answer:
Step-by-step explanation:
Goal: Gather and organize statistical data in frequency distribution table.
Role: Statistician, Data Analyst
Audience: Math Teacher, Adviser
Situation: Your Math Teacher asked your class to conduct a simple survey to
determine the number of learners who are using gadgets in your school.
Product/ Performance:
You were asked to look for at least 15 individuals among your friends within
your school and construct a frequency distribution table on each category:
A. gender
B. preferred distance learning modality (online, modular, blended)
C. available gadget used in distance learning (smartphone, laptop,
tablet, desktop, or none)
I'm looking for a serious answer. I need to pass this on monday. Thank you.
Answers
Frequency distribution tables are a tool for organizing data and obtaining additional information.
What is the frequency distribution?The frequency distribution is a term to refer to a type of tables that are used in the area of statistics to organize data.
In the frequency distribution tables, the different variables are arranged by rows. The columns show the number of occurrences for each value, percentages, among others. These types of tables are an ideal tool to analyze data and obtain specific information.
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please help if you can xx
Answers
Answer:
Below in bold.
Step-by-step explanation:
The angle in a regular octagon = 180 - (360/8) = 135.
Using trigonometry sin (135/2) = k/2 / EF
sin 67.5 = k / 2EF
2EF = k / sin 67.5
EF = k / 2 sin 67.5 = k/1.8478
Perimeter of octagon = 8 * k/1.8478
= 4.33k to the nearest hundredth.
What are the zeros of the following function?
a) 2 and and -3
b) 2 and 3
c) 3 only
d) -3,2 and 3
Answers
Answer:
a
Step-by-step explanation:
"Zeroes" of the function are where the graph crosses the x- axis at -3 and 2
The diagram shows the curve with equation y = ( 1 + x ) cosx.
Complete the table below for points on the curve, giving the y values correct to 3 decimal places where appropriate.
Answers
Answer:
y = 1, 1.319, 1.024, 0
Step-by-step explanation:
Given equation:
[tex]y=(1+x)\cos x[/tex]
[tex]\textsf{when}\:x=0:[/tex]
[tex]\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}[/tex]
[tex]\textsf{when}\:x=\dfrac{\pi}{6}:[/tex]
[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}[/tex]
[tex]\textsf{when}\:x=\dfrac{\pi}{3}:[/tex]
[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}[/tex]
[tex]\textsf{when}\:x=\dfrac{\pi}{2}:[/tex]
[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}[/tex]
Find the value of x. Round to the nearest tenth. 1.4ft 2.1 ft 2x x = [ ? ]ft
Answers
Perpendicular projected from center of a circle to its chord bisects it. The value of the x for this case is: x = 1.565 ft approximately.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
What is the relation between line perpendicular to chord from the center of circle?If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.
Or |AC| = |CB|
For this case, consider the diagram below.
The line OC divides AB in half.
Since it is given that:
Length of AB = |AB| = 2x ft,
therefore, we get:
|AC| + |CB| = 2x
|AC|+|AC| = 2x (as |AC|=|CB|)
therfore, we get: |AC| = x feet = |CB|
Now,as the triangle OBC contains a right angle, we can use Pythagoras theorem, and therefore, we get:
[tex]|OB|^2 = |OC|^2 + |CB|^2\\2.1^2 = 1.4^2 + x^2\\x^2 = 4.41 - 1.96\\x = \sqrt{2.45} \approx 1.565 \: \rm ft[/tex]
(took positive root as 'x' represents measurement of length, which is a non-negative quantity).
Thus, the value of the x for this case is: x = 1.565 ft approximately.
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#SPJ1
Find the equation of the line shown
Answers
Answer:
that would be 1/1 or just 1 as your equation of the line.
Step-by-step explanation:
you find this by taking one part of the grid where a line perfectly intersects 2 parts, and you count to the next spot where this happens, in this case would be to the right 1 and up one, making the slope 1/1 which you can simplify into 1. and slope works like y/x, which y is the up and down movement while x is the side to side.
Answer:
y = x + 6
Step-by-step explanation:
two points are;
(0 , 6) & (4 , 10)
The slope: [tex]\frac{10-6}{4-0} =\frac{4}{4} =1[/tex]
The equation:
[tex]y-10=1(x-4)[/tex]
[tex]y-10=x-4[/tex]
[tex]y=x-4+10[/tex]
[tex]y=x+6[/tex]
Hope this helps
Find the surface area of each solid.
Answers
Answer:
232 in^2
Step-by-step explanation:
This rectangle has 6 surfaces:
Front: 10 x 8 = 80
Back: 10 x 8 = 80
Top: 10 x 2 = 20
Bottom: 10 x 2 = 20
Side: 8 x 2 = 16
Side: 8 x 2 = 16
Total surface area: 232 in^2
1. Carol jogged 13 miles on 5 days last week.
She jogged 22 miles on 4 days this week.
Was her total distance greater last week or
this week? How much greater? Explain.
Answers
22 x 4 = 88
She jogged 65 miles last week and 88 miles this week, so she her total distance this week was greater.
It was 23 miles greater.
Explanation: 88 miles is greater than 65 miles by 23 miles because 88 - 65 = 23.
Any Questions?
You know that the current exchange rate for us dollars (usd) to indian rupees (inr) is 1:45.85, that the exchange rate for indian rupees to bangladeshi taka (bdt) is 1:1.507, and that the exchange rate for bangladeshi taka to myanma kyat (mmk) at a rate of 1:0.0928. which of the following equations is set up properly to calculate the exchange rate from us dollars to myanma kyat? a. (1 u s d) times startfraction (1 u s d) over (45.85 i n r) endfraction times startfraction (1 i n r) over (1.507 b d t) endfraction times startfraction (1 b d t) over (0.0928 m m k) endfraction = (x m m k). b. (1 u s d) times startfraction (45.85 i n r) over (1 u s d) endfraction times startfraction (1.507 b d t) over (45.85 i n r) endfraction times startfraction (0.0928 m m k) over (1.507 b d t) endfraction = (x m m k). c. (1 u s d) times startfraction (45.85 i n r) over (1 u s d) endfraction times startfraction (1.507 b d t) over (1 i n r) endfraction times startfraction (0.0928 m m k) over (1 b d t) endfraction = (x m m k). d. (1 u s d) times startfraction (1 u s d) over (45.85 i n r) endfraction times startfraction (45.85 i n r) over (1.507 b d t) endfraction times startfraction (1.507 b d t) over (0.0928 m m k) endfraction = (x m m k).
Answers
The exchange rate from US dollars to Myanma Kyat is given as:
1 : (45.85 × 1.507) × (0.0928) (Option C).
What is an exchange rate?
The rate at which one currency is converted to another is what is referred to as Exchange Rate.
Recall that the following is given from the question:
Step One - Convert from USD to BDT
This gives us 1 : (45.85 × 1.507); Hence, the rate from BDT to MMK is 1 : 0.0928
Step Two: - Ascertain the current rate for USD to MMK
This gives us - 1 : (45.85 × 1.507) × (0.0928). To get a simplified version. One would have to open the brackets.
However, from the above, it is clear that the correct answer is Option C.
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HELP! WILL GIVE BRAINLEST! On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?
Answers
Answer:
2 rad
Step-by-step explanation:
Given :
arc length = 2 mradius of a unit circle = 1 mFormula
l = rβ⇒ β = l/rSolving for β
β = 2/1β = 2 radgift card for 25 dollars 4 dollars per pair 5 dollars off
Answers
Answer:
i dont know but i will try
Step-by-step explanation:
example
34 dolars look i have answer
I need help with this assignment, please help
Answers
Answer:
A
Step-by-step explanation:
We need to first find the number of dice rolls. The amount of dice rolls equals 8+9+5+15+2+11=50. And 8 out of thouse 50 were ones, so 8 out of 50 rolls is also 4 out of 25 rolls.
James studied for his test. He started studying at 3:20 p.m. and studied for 2 hours
and 15 minutes. What time did he finished studying?
Answers
Answer:
5:35
Step-by-step explanation:
since he started at 3:20 , to find when he ended you add the 2 hours to that, which gives you 5:20. but, you still have the fifteen minutes which you just add to 5:20, giving you 5:35.
A bookshelf contains 9 mysteries and 7 biographies books. A book is randomly selected and not replaced.
What is the probability that the first book is mystery and the second is the biography?
Answers
Answer:
The answer is 7/30
Step-by-step explanation:
According to counting rules, we use permutation when we want to choose successively and without replacement, as given in this problem
Rule of permutation: nPr = n! /(n-r)!
where: n:objects and r:sample
n of mysteries=9 ; r of mysteries=1 ; ⇒ 9P1
n of biographies=7 ; r of biographies=1 ; ⇒ 7P1
n of total books=9+7=15 ; r of total books=2 ; ⇒15P2
Probability=( 9P1 x 7P1 ) / 15P2 = 49/210 = 7/30
Hope this helps :)
The volume of a cone-shaped hole is 147 pi ft3 If the hole is 9 ft deep, what is the radius of the hole?
Please help!!
Answers
radius : 3.95 ft
[tex]\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{3} \pi r^2(9) = 147[/tex]
[tex]\hookrightarrow \sf r^2 = \dfrac{147*3}{\pi (9)}[/tex]
[tex]\hookrightarrow \sf r = \sqrt{\dfrac{147*3}{\pi (9)}}[/tex]
[tex]\hookrightarrow \sf r = 3.95 \ ft[/tex]
Pls help quick
the
A garden store bought a fountain at a cost of $995. 66 and marked it up 100%. Later on,
store marked it down 25%. What was the discount price?
Answers
hope it really helps......!!!!!
raise r to the 7th power, then double the result
Answers
Answer:
[tex]\huge\boxed{\bf\:2r^{7}}[/tex]
Step-by-step explanation:
Let the variable be taken as 'r'.
Then, by raising it to the 7th power, we'll get the result as [tex]\downarrow[/tex]
[tex]\sf\:Raise \: r \: to \: the \: 7^{th} \: power = r \: with \: 7 \: as \: its \: exponent.\\\\\sf\:Then,\\\dashrightarrow \underline{\bf\:r \: ^{7}}[/tex]
Now, by doubling the result....
[tex]\sf\:To \: double \: the \: result = multiply \: the \: result \: by \: 2.\\\\\sf\:Then,\\\dashrightarrow \sf\:r \: ^{7} \\=\boxed{\bf\: 2r\:^{7}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Answer:
2r⁷
Step-by-step explanation:
Raise r to 7th power
= r⁷
Double it
= 2r⁷
_________
Hope it helps ⚜
solve the inequality; x2-x-2>0
Answers
Answer:
x > 2/3
Step-by-step explanation:
2x -x - 2 > 0
add 2x and x (It becomes 3x)
3x -2 >0
subtract 0 from both sides
3x> 2
divide 3 on both sides
And the answer is
X> 2/3
Find the surface area of the figure. Be sure to show all of your work and steps in solving
for your answer.
Please show me the steps and solutions not just answers pls pls pls help me, tysm!!
Answers
The surface area of the figure which comprises two rectangular prisms is: 328 in.²
What is the Surface Area of a Rectangular Prism?Surface area = 2(wl+hl+hw)
Decompose the given figure into two.
Surface area of the figure = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of base of the top rectangular prism)
Surface area of top rectangular prism:
l = 6 in.
w = 4 in.
h = 5 in.
Surface area = 2(wl+hl+hw) = 2(4×6 + 5×6 + 5×4) = 148 in.²
Surface area of bottom rectangular prism:
l = 6 in.
w = 9 in.
h = 4 in.
Surface area = 2(wl+hl+hw) = 2(9×6 + 4×6 + 4×9) = 228 in.²
Area of base of the top rectangular prism:
Area = (l)(w) = (6)(4) = 24 in.²
Surface area of the figure = 148 + 228 - 2(24)
Surface area of the figure = 328 in.²
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A store owner bought a grill for $180, then
marked it up 25% to sell in his store. If a
customer has a coupon for 25% off and
purchases the grill, which statement is true?
A. The customer paid the same
amount the store owner paid.
B. The customer paid $8.75 less
than the store owner paid.
C. The customer paid $11.25 less
than the store owner paid.
D. The customer paid $9.50 more
than the store owner paid.
Answers
Answer:
A. The customer paid the same
amount the store owner paid.
Step-by-step explanation:
its adding 25% of the original $180, then immediately decreasing 25% of the original $180, thus the customer paid the same amount the store owner paid.
The higher the number, the more you divide
Here is my way of doing this
I divide it by 10 then multiply by 7.5
So 225 divided by 10 is 22.5
I multiply by 5 and get 112.5 or do 20 x 5 and add 12.5 because the other 2.5 x 5 is 12.5
Then divide it by 2 and add it to the 112.5
So 110 divided by 2 is 55 and 2.5 divided by 2 is 1.25 so 55 + 1.25 is 56.25
Now we add 112.5 + 56.25 is 168.75
180
-168.75 = 11.25
What value of x is the solution to the equation −3/2x−3/4=−1/5 ?
A
−19/30
B
33/40
C
−19/20
D
−11/30
Answers
Answer:
[tex]\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
-3/2x-3/4=-1/5First, add by 3/4 from both sides.
[tex]\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }[/tex]
Solve.
⇒ = -3/2x=11/20
Then, you multiply by 2 from both sides.
2(-3/2x)=11*2/20
Solve.
11*2/20
11*2=22
22/20
Common factor of 2.
11/10
-3x=11/10
Divide by -3 from both sides.
[tex]\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}[/tex]
Solve.
[tex]\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}[/tex]
Therefore, the correct answer is D. x=-11/30.I hope this helps! Let me know if you have any questions.
You have $5,000 to invest for ten years. Crown of The Sun bank pays compound interest at an annual rate of 4.5%. Calculate your balance after 10 years. Round to the nearest hundreth
Answers
Answer: $7,764.85
Step-by-step explanation:
Use the formula for Compound Interest: CI = P(1 + r/n)^nt
CI = 5000(1 + 0.045/1)^10
CI = 5000(1.045)^10
CI ≅ $7,764.85
After 10 years, the balance should be $7,764.85
Answer:
$7764.85
Step-by-step explanation:
Assume the compounding is annual.
F = P(1 + r/n)^(nt)
F = 5000(1 + 0.045/1)^10
F = 7764.85
Answer: $7764.85
10 identical copies of a movie will be stored on 40 computers such that each computer has at most 1 copy. How many different ways can the 10 copies be stored
Answers
We will see that there are 847,660,528 different ways in which the copies can be stored.
In how many ways can the 10 copies be stored?
So, we know that the copies can be stored in any of 40 computers, such that each computer can get, at most, one copy.
Then what we need to do is find how many different combinations of 10 computers can we make with the set of 40 computers, this is given by using the combination formula:
[tex]C(40, 10) = \frac{40!}{(40 - 10)!*10!} = \frac{40*39*38*37*36*35*34*33*32*31}{10*9*8*7*6*5*4*3*2} = 847,660,528[/tex]
This means that the 10 computes can be selected in 847,660,528 different ways, so there are 847,660,528 different ways in which the copies can be stored.
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Benny went to his local zoo that featured 11 reptile exhibits. if these reptiles exhibits make up 55% of the zoo's exhibits, then how many exhibit does the zoo have in total?
Answers
Answer: 20 exhibits
Step-by-step explanation:
If 11 is 55%, we need to find 100%. We will set up a proportion and solve. Percents are on the bottom, exhibits are on the top.
[tex]\frac{11}{55}[/tex] = [tex]\frac{x}{100}[/tex]
Cross multiply:
1,100 = 55x
Divide:
20 = x
There are 20 exhibits in total.