Answer:
x = 4.99°
Step-by-step explanation:
Reference angle = x
Opposite side to x = 20 cm
Hypotenuse = 230 cm
Applying trigonometric ratio formula, we would have the following equation:
[tex] sin(x) = \frac{Opp}{Hyp} [/tex]
Plug in the values
[tex] sin(x) = \frac{20}{230} [/tex]
[tex] x = sin^{-1}(\frac{20}{230}) [/tex]
x = 4.99° (approximated to nearest hundredth)
please help me i’ll mark brainliest, comment, and rate 5 stars
Answer:
c...........................
Please help again!!!!!!!!
Answer:
94.077=90+4+0.07+0.007
Step-by-step explanation:
I hope this answered your question
Answer:
a) 94.077= 90+ 4+ 0.07 + 0.007Step-by-step explanation:
I hope it helps you ❤❤answer ??????????????????
Answer:
The answer is 5x
Step-by-step explanation:
A small business earns a profit of $4,500 in
March and $9,500 in July. What is the rate
of change in profit for this time period?
Answer:
$2750/month
Step-by-step explanation:
Which of the following terms correctly describe the object below?
Check all that apply.
Which equation represents the relationship between the x-and y-values shown in the table?
This graph and table show the total number of cars parked in a parking lot, n, after it was open for t hours.
Plot and table. Plot has horizontal axis from 0 to 3 in increments of 1, labeled t, and vertical axis from 0 to 18 in increments of 2, labeled n. Plot shows the points left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 6 right parenthesis, left parenthesis 2 comma 12 right parenthesis, and left parenthesis 3 comma 18 right parenthesis. Two-column table has column Time in hours left parenthesis t right parenthesis showing values 0, 1, 2, 3 and column Number of cars parked left parenthesis n right parenthesis showing values 0, 6, 12, 18.
What is an equation showing the relationship between n and t?
Enter your answer by filling in the box to complete the equation.
n =
Answer: n = 6t
Explanation: i took the test
(8x-17)(5x+19)
Find the converse and x
[tex](8x-17)(5x+19)\\40x^{2}+152x-85x-323\\ 40x^{2}+67x-323[/tex]
Which polynomial can be factored using the binomial theorem?
81x2 + 117x + 169
81x2 + 234x + 169
6,561x4 – 9,477x3 + 13,689x2 – 19,773x + 28,561
6,561x4 – 18,954x3 + 27,378x2 – 39,546x + 28,561
Answer:
B.) 81x2 + 234x + 169
Step-by-step explanation:
pls help asap!! no trolls
Answer:
7
Step-by-step explanation:
а>12-6
the area of rectangular plot of land fenced all round is 2000 sq. yards and the total length of fencing 180 yards. find the length and width of plot
9514 1404 393
Answer:
length: 50 ydwidth: 40 ydStep-by-step explanation:
The perimeter is twice the sum of length and width. Then the sum of length and width is 90 yards. Their product is the area, so we have ...
x(90 -x) = 2000 . . . . where x is length or width
x^2 -90x +2000 = 0 . . . . rearrange to standard form
(x -40)(x -50) = 0 . . . . . . . factor
x = 40 or x = 50
The dimensions of the rectangular plot are 40 yards by 50 yards.
A total of 633 tickets were sold for the school play. They were either adult tickets or student tickets. There were 67 fewer student tickets sold then adult tickets. How many tickets were sold?
Answer:
x+x-63=637 solve for x
2x=700 divide each side by 2
x=350
so 350 adult and 350-63=287 student
your answe is
287
find all the real and complex zeros of f(x)=x^3-7x^2+4x-28
Answer:
For [tex]x \in\mathbb{C}[/tex]
[tex]x = -2i[/tex]
[tex]x = 2i[/tex]
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-7x^2+4x-28[/tex]
For [tex]f(x) = 0[/tex]
[tex]x^3-7x^2+4x-28 = 0[/tex]
We can easily factor the expression [tex]x^3-7x^2+4x-28[/tex] by grouping.
[tex]x^3-7x^2+4x-28 = (x^3-7x^2)+(4x-28) = x^2(x-7)+4(x-7) = \boxed{(x^2+4)(x-7) }[/tex]
Now we have
[tex](x^2+4)(x-7) = 0[/tex]
Therefore,
[tex]x^2+4 = 0 \text{ or } x-7 = 0[/tex]
So,
[tex]x^2 = -4 \implies x = \pm\sqrt{-4}[/tex]
Once [tex]\sqrt{-1} = i[/tex]
[tex]x = \pm\sqrt{-4} = \pm\sqrt{4}\sqrt{-1} = \pm 2i[/tex]
Please help ASAP!!!!!!!!!!!!!
Answer:
im horrible at this kinda stuff-but is it 18......? ive always been bad-so if im wrong-dont get mad-
Step-by-step explanation:
happy new year!
Ace gained $ 176 by selling 32 meters cloth for $1496. Find his loss per meters he sold it for $1276
Answer:
Selling the total for $ 1276, Ace lost $ 1.37 for each meter.
Step-by-step explanation:
Given that Ace earned $ 176 selling 32 meters of cloth at $ 1496, to find out his loss for each meter if he sold the total for $ 1276, the following calculation must be performed:
1496 - 176 = 1320 (stock price)
1320/32 = 41.25 (price per meter)
1276/32 = 39.87
41.25 - 39.87 = 1.37
Thus, selling the total for $ 1276, Ace lost $ 1.37 for each meter.
what linear equation in slope intercept from does this graph represent?
Answer:
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
Step-by-step explanation:
The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.
We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].
Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).
Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.
Let's substitute in our points.
[tex]\frac{150-100}{3-0}[/tex]
Simplify.
[tex]\frac{50}{3}[/tex]
Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].
We'll put that in our equation for a line and...bam!
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
A person was modeling a declining population with a decay factor of 0.5 using pennies. They started with 100 pennies and flipped all 100 pennies. Any pennies that landed on tails were removed. Then, the remaining pennies are flipped again and again the ones landing on tails were removed. The process is repeated until no pennies are left. How many flips is the most reasonable expectation for when this model should reach 0 pennies?
4 flips
8 flips
12 flips
16 flips
Answer: 8 flips
Step-by-step explanation:
What is the reciprocal of 5/6
Answer:
6/5
Step-by-step explanation:
Answer:
The reciprocal of 5/6 would be 6/5
A student takes 25 minutes to solve 10 math problems in class if the student solve similar problems at the same rate how many minutes will it take the student to solve 12 math problems
Answer:
The answer would be 30 minutes
Step-by-step explanation:
Find how many ties 12 can go into 10. (Divide 12 divided by 10=1.2)
Multiply 25 times 1.2 (30)
Your answer would be 30 minutes
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest!!!
the Pythagorean theorem
please help answer all the questions
Answer:
Step-by-step explanation:
A.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]16^{2} +20^{2}= c^{2}[/tex]
256 + 400 = [tex]c^{2}[/tex]
656 = [tex]c^{2}[/tex]
25.6 = c
__________________________________________________________
B.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]25^{2}+ 10^{2} = c^{2}[/tex]
625 + 100 = [tex]c^{2}[/tex]
725 = [tex]c^{2}[/tex]
26.9 = c
__________________________________________________________
C.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]12^{2} +10^{2}= c^{2}[/tex]
144 + 100 = [tex]c^{2}[/tex]
244 = [tex]c^{2}[/tex]
15.6 = c
__________________________________________________________
D.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]26^{2}+ 24^{2} =c^{2}[/tex]
676 + 576 = [tex]c^{2}[/tex]
1,252 = [tex]c^{2}[/tex]
35.4
__________________________________________________________
Sry it takes a lot of time to put in these equations and all that
Hope it helped!
An anchor was dropped into the ocean. It sank 60 feet below sea level in 5 seconds. What integer represents the anchor’s change in elevation per second?
Answer:
1245.89
Step-by-step explanation:
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which list shows the numbers in order in which they would appear from left to right on the number line
What 12x12 I need help please help me
Answer:
144
Step-by-step explanation:
-0- Easy :D
Allan writes down n positive integers so that the sum of those numbers is 23. When he multiples those numbers, he gets the maximum result. List all of the n positive integers that Allan has written.
Answer:
3, 3, 3, 3, 3, 3, 3, 2Step-by-step explanation:
To get maximum product we need to optimize how we break down the numbers
Its obvious we don't want number 1 to be used as it won't change the product
Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10
What is best number?
2 and 3 are the smallest, 4 can be written as two 2's5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 56 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 67 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater productSo the best is to break the number down to 2's and 3's
23 = 2*10 + 3 ⇒ 2^10*3 = 307223 = 3*7 + 2 ⇒ 3^7*2 = 4374As we see the maximum product we can get is 4374 with seven 3's and one 2.
Hence the numbers are:
3, 3, 3, 3, 3, 3, 3, 2Answer:
your answer should be 3, 3, 3, 3, 3, 3, 3, 2
divide the stars into 3 equal groups .
How many stars are in each group ?
what is 1/3 of 9 ?
Answer: 3
Step-by-step explanation: Divide 9 by 3
Identify whether the following items best fit with a discrete or a continuous model. Then determine whether it is a linear (arithmetic) or exponential (geometric) relationship that is being described. Finally, write the function that represents the situation.
One square inch is infected by bacteria. For every hour that passes the amount of area infected by the bacteria doubles.
Answer:
it will be a continuous model
Step-by-step explanation:
weekend weekend assume every amount of area infected by the bed period doubles as hour passes
A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is dissolved. Brine containing 1 2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 30 minutes. (Round your answer to two decimal places.
Answer:
76.09 pounds
Step-by-step explanation:
From the information given:
[tex]R_{in} = (\dfrac{1}{2} \ lb/gal ) *(6 \ gal/min)[/tex]
[tex]R_{in} =3 \ lb/min[/tex]
At a slower of 4 gal/min, the solution gets pumped out;
So,
[tex]R_{out} = \dfrac{4A}{100+(6-4)t }[/tex]
[tex]R_{out} = \dfrac{2A}{50+t }[/tex]
The differential of the equation is:
[tex]\dfrac{dA}{dt}+ \dfrac{2}{50+t}A=3 ---(1)[/tex]
For the linear differential equation, the integrating factor is determined as:
[tex]\int_e \dfrac{2}{50 +t}dt = e^{2 In|50+t|[/tex]
[tex]= (50+t)^2[/tex]
Multiplying [tex](50+t)^2[/tex] with the above integration factor;
[tex](50+t)^2 \dfrac{dA}{dt} + 2 (50+t) A = 3(50 +t)^2[/tex]
[tex]\dfrac{d}{dt}[ (50 +t)^2 A] = 3(50+t)^2[/tex]
[tex](50+t)^2 A = (50 +t)^3 + c[/tex]
[tex]A = (50 +t) + c (50 +t )^{-2}[/tex]
By using the given condition:
A(0) = 40
40 = 50 + c (50)⁻²
10 = c(50)⁻²
OR
c = -10 × 2500
c = -25000
A = (50 + t) - 25000(50 + t)⁻²
The number of pounds of salt in the tank after 30 min is:
A(30) = (50+30) - 25000(50 + 30)⁻²
[tex]A(30) = 80 - \dfrac{25000}{6400}[/tex]
[tex]A(30) = 76.09 \ pounds[/tex]
Thus, the number of pounds of salt in the tank after 30 min is 76.09 pounds.
3.5x = 20 Round to nearest hundredths
place
Answer:
5.71
Step-by-step explanation:
x = 20/3.5 = 5.71
Complete each ratio table.
Answer:
I only, know one of them....
Step-by-step explanation:
a triangle has 2 angles with measures of 40 degrees and 60 degrees. what is the measure of the third angle?
acute
obtuse
right
it doesnt make a triangle
Answer:
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
180-40-60 = 80
80 degrees
80 degrees is an acute angle.
Answer:
It would be 80 degrees which is an acute angle
Step-by-step explanation:
A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!