solve for x, need help asap!
Let's solve for x using trigonometric relation ( Cos )
we know,
[tex] \cos(30 \degree) = \dfrac{base}{hypotenuse} = \dfrac{ \sqrt{3} }{2} [/tex]
now
[tex] \dfrac{x}{8} = \dfrac{ \sqrt{3} }{2} [/tex]
[tex]x = 8 \times \dfrac{ \sqrt{3} }{2} [/tex]
[tex]x = 4 \sqrt{3} [/tex]
hence, the value of x is [tex] 4 \sqrt{3} [/tex]
Consider the sequence of numbers 50,48,46,44….
(A) What are the next three numbers in this sequence?
(B) Using n to represent the position of a number in this sequence, write an expression that allows you to calculate the nth number.
(C) use your expression to find the 100th number in this sequence
Step-by-step explanation:
(A) 42,40
(B) T(n) = 50 + (n-1)(-2)
= 50+2-2n
= 52-2n
(C) T(100) = 52 - 2(100)
= 52- 200
= - 148
Write a two-step equation and solve.
Four more than six times a number is 22
Five less than eleven times a number is 50
Seven less than nine times a number is -16
Step-by-step explanation:
1) let the number=x
six times a number=6x
Condition:
6x+4=22
2) eleven times a number=11x
Condition:
11x-5=50
3) nine times a number=9x
Cindition:
9x-7=-16
At the zoo the polar bears are fed 0.1 bucket of fish a day.
The penguins are fed 0.83 that amount. How much of a
bucket are the penguins fed?
Answer:
0.083
Step-by-step explanation:
0.1 x 0.83 = 0.083
There are 0.083 bucket are the penguins fed.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
At the zoo the polar bears are fed 0.1 bucket of fish a day.
And, The penguins are fed 0.83 that amount.
Now,
Since, At the zoo the polar bears are fed 0.1 bucket of fish a day.
And, The penguins are fed 0.83 that amount.
Hence, The bucket are the penguins fed is,
⇒ 0.83 × 0.1
⇒ 0.083
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Quick answer only please
Step-by-step explanation:
The equation for circumference is
[tex]c = 2 \pi r[/tex]
Solve for circumference using the equation.
C = 2(3.14)(13)
C = 81.64 km
An effort of 50 N is applied to lift a load of
200 N by using a lever. If effort is displaced
through 5m to lift a load through 1m, calculate
it’s MA, VR and efficiency. Please help me
Step-by-step explanation:
hope it helps u........
simplify 81-19+218-412
Answer:
-132
Step-by-step explanation:
81+(218-19)-412
81+(199)-412
81+199-412
280-412
-132
THANK YOU
Answer:
-132
BRAINLIEST, PLEASE!
Step-by-step explanation:
Add and subtract two terms at a time until you reach the end.
Plz help me with these with steps
Answer:
10. 9/40
11. $72
Step-by-step explanation:
10.
Step 1: Have the whole cake as 1,
[tex]1-\frac{1}{8} -\frac{2}{5} -\frac{1}{4}\\= 1 -\frac{5}{40}-\frac{16}{40}-\frac{10}{40} \\= \frac{9}{40}[/tex]
11.
Step 1: Find the remaning income left
[tex]1-\frac{5}{16}-\frac{1}{4}-\frac{1}{24} -\frac{1}{48} \\= \frac{3}{8} \\[/tex]
Step 2: Calculate the weekly income
3 units = $27
1 unit = $9
Weekly income = $9 * 8 = $72
How do you solve this: 2x+4+2=7x-6-3?
The answer you are looking for is x=3.
Solution/Explanation:
First, writing out the equation,
2x+4+2=7x-6-3.
Next, simplifying the equation just a little bit more, with the four numbers that do not include the variable "x" at all,
2x+6=7x-9.
Now, subtracting 7x from both sides of the equation,
2x+6-7x=7x-9-7x.
Regrouping the positions of the terms, using the Associative Property,
2x-7x+6=7x-7x-9.
Simplifying, and also, canceling out the 7x, since 7x-7x=0.
2x-7x+6=0-9, or 2x-7x+6=-9.
Simplifying "2x-7x," which is -5x,
-5x+6=-9.
Now, subtracting 6 from both sides,
-5x+6-6=-9-6.
Canceling out the "6," since 6-6=0,
-5x=-9-6.
Solving for "-9-6," which is "-15,"
-5x=-15.
Finally, dividing both sides by "-5,"
-5x/-5=-15/-5.
Simplifying "-5x/-5=-15/-5,"
-5x/-5=x.
And, also, -15/-5=3.
This eventually leads to x=3.
So, therefore, the final answer is x=3.
I hope that this has helped answer your question. Good day to you.
Answer:
The answer is x=3.
Step-by-step explanation:
2x+6=7x-9
-5x=-15
x=3
A little Challenge.
(I made this question)
The radii of circles G and F is 1
The radii of all other circles is .5.
Step-by-step explanation:
the total area of circles =
(2 × π × 1²) + (3 × π × 0.5²)
= (2π) + ( 3× 0.25×π)
= 2π + 0.75π
= 2.75π
assume π=3.14
so, the total area =
2.75 × 3.14 = 8.635
Let's see
Area
2π(1)²+3π(0.5)²2π+0.75π2.75π8.6 units ²Louis Poinsot established the patterns for the icosahedron and the dodecahedron in
1809. Besides really long words, what are they?
Answer:
Platonic solids
Step-by-step explanation:
To solve this we must be knowing each and every concept related to geometry. Therefore, icosahedron and the dodecahedron represents geometry of molecule.
What is geometry?Molecular geometry in chemistry depicts a molecule's three-dimensional form as well as the relative location of its atomic nuclei.
Understanding a molecule's molecular geometry is critical since the spatial connection between atoms dictates its reactivity, color, bioactivity, state of matter, polarization, as well as other features. A molecule's form influences its physical and chemical properties, including its colour, sensitivity, and bioactivities. Icosahedron and the dodecahedron represents geometry of molecule.
Therefore, icosahedron and the dodecahedron represents geometry of molecule.
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Please help
Solve the inequality.
1
x+ z
x+-3-3 or x - 3>-2
'
7.
x <
or x >[ ]
[?]
9514 1404 393
Answer:
x ≤ -7/2 or x > 1
Step-by-step explanation:
To solve the left inequality for x, subtract 1/2 from both sides:
x ≤ -3 -1/2
x ≤ -7/2
__
To solve the right inequality for x, add 3 to both sides.
x > -2 +3
x > 1
how to find the sum of 12 and 36 using the gcf and distributive property
Which number has a 6 that is 1/10 the value of the 6 in 6,239
Answer:
it is b
Step-by-step explanation: hope help
Describe how many zeros this equation will have, and where they are.
(1 Point)
f (x) = -2x2 – 5x – 2
Answer:
Let y=x
2
−5x+6, when we substitute different values of x in the equation y=x
2
−5x+6 then value of y changes accordingly.
When x=0 then
y=(0)
2
−(5×0)+6=0−0+6=6
The point is (0,6)
When x=2 then
y=(2)
2
−(5×2)+6=4−10+6=10−10=0
The point is (2,0)
When x=3 then
y=(3)
2
−(5×3)+6=9−15+6=15−15=0
The point is (3,0)
Therefore, the coordinates are (0,6), (2,0) and (3,0) and the graph of the quadratic equation y=x
2
−5x+6 is as shown above.
Hence, from above graph, we get that x=2 or x=3.
Write 8-10 sentences of how math was used during the pandemic
^^i didn't really understand that one and yes ill give brainliest and yes I will report your answer if you put absurd stuff
Math in many areas is used to create models, mathematical systems the describe real-world situations.
During the pandemic, a model called exponential model was used to predict the how many people will get infected given certain parameters, such as infection rate, average age of population, ...
We picked this particular model because viruses spread at an exponential rate, just like for example bacteria division would be modeled with something like [tex]2^t[/tex] where t is day number. After 1 day there are 2, after 2 days there are [tex]4, 8, 16, 32, \dots[/tex] which is known as exponential behaviour -- viruses spread that way, first person gets infected, aka patient 0, then that person likely infects others and others likely infect more people.
In particularly [tex]R_0[/tex] also known as basic reproduction number was used as a base, that is, [tex]R_0^t[/tex].
You can see if, [tex]R_0\lt 1[/tex] then we have a reciprocating behaviour, less and less infected with time passing, this is ideal and it means the pandemic is waning.
However if, like in case with current pandemic, [tex]R_0\gt 1[/tex] then the behaviour is exactly the opposite, more and more get infected with time. The current pandemic had a highest [tex]R_0[/tex] of 6.49 with a mean of 3.28 and a median of 2.76.
That means at its heighest, 1 new infected person meant potentially 6 new infected people which meant 36 because each of them would probably infect which means [tex]216,1296,7776,46656,\dots[/tex].
So the main goal is to prevent [tex]R_0[/tex] from getting larger ie. minimization, that is why vaccination, masks, good hygiene.
Of course the model is much much more complex and parameterized.
The exponential model took a lot into account and came up with various prediction graphs of for example the next week.
The graphs served to the states to decide what to do next.
So in all, everything that you are witnessing was at some point just, math.
Hope this helps :)
Answer:
it was online math cause of the pandemic
Step-by-step explanation:
PLS HELP , I GOT ONLY ONE RIGHT AND THE REST ARE WRONG. I dont know what to do anymore pls help , its due todayyy plsjnn
Solve for y: -5(2y+3) +5=40
Answer:
Step-by-step explanation:
-5(2y + 3) +5 = 40
-10y - 15 + 5 = 40
-10y = 40 +15 - 5
-10y = 50
y =[tex]\frac{50}{-10\\}[/tex]
y = -5
slove the simoltanous equation by using substitution or elimination method 5x-3y=1 3x+2y=1
By substitution method
5x - 3y =1
3x + 2y = 1
_____o____o____
[tex]5x - 3y = 1 \\ 5x = 1 + 3y \\ x = \frac{1 + 3y}{5} [/tex]
______o____o_____
[tex]3x + 2y = 1 \\ 3( \frac{1 + 3y}{5} ) + 2y = 1 \\ \frac{3 + 9y}{5} + 2y = 1 \\ \frac{3 +9y + 10y}{5} = 1 \\ \frac{3 + 19y}{5} = 1 \\ 3 + 19y = (1)(5) \\ 3 + 19y = 5 \\ 19y = 5 - 3 \\ 19y = 2 \\ y = \frac{2}{19} [/tex]
______o_____o____
[tex]x = \frac{1 + 3y}{5} = \frac{1 + 3 \frac{2}{19} }{5} \\ x = \frac{1 + \frac{6}{19} }{5} = \frac{ \frac{19 + 6}{19} }{5} = \frac{ \frac{25}{19} }{5} \\ x = \frac{25}{19} \div 5 \\ x = \frac{25}{19} \times \frac{1}{5} \\ x = \frac{5}{19} [/tex]
I hope I helped you^_^
what number divided by four equals three?
Answer:
12 divided by 4 equals 3
Step-by-step explanation:
What type of relationship is expressed below?
f(x) = 7x +3
Answer:
Linear Function
Step-by-step explanation:
This is a linear function. A linear function is a function with the degree of 1, where the line increases continuously the whole graph. The growth of the graph is constant, making a straight line. This function is written in slope-intercept form, f(x) = mx+b. Where m is the slope and b is the y-intercept. The function will have 1 solution.
A wall is 4200 sq ft.
A gallon of paint covers 600 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Answer:
1 gallon = 600 sq ft. So you will need 7 gallons to cover the whole wall
Step-by-step explanation:
4200 ÷ 600 = 7
Answer:
7
Step-by-step explanation:
Divide the total wall space by the amount in 1 gallon: 4200/600= 7
So you would need 7 gallons to paint the whole wall.
Is that what you were looking for?
what is the annual salary equivalent to a semimonthly salary of $834.08?
Answer:
$20,017.92
Step-by-step explanation:
Semimonthly means twice a month.
There are 12 months in a year.
12 x 2 = 24 (because they are payed twice a month)
24 x 834.08 = 20017.92
A board of wood measures 58 inches thick. If you stack the boards 6212 inches high, how many boards are in the stack
Answer:
107 full and .103 of another
Step-by-step explanation:
6212/58 =
Express the following as the sum of twin primes
a) 84
b)36
c)24
d)425
Answer:
answer it's c)24...
Step-by-step explanation:
i think helping you..... please tell correct or no...
What is the answer to |-2|+|-3|
Answer:
5
Step-by-step explanation:
the absolute value of -2 is 2
the absolute value of -3 is 3.
Since the question is adding the absolute values, the answer is 5
I keep getting 30 but it’s not right. Can anyone tell me the steps?
2[10-3(4-2)]+1
Answer:
9
Step-by-step explanation:
[tex]2[10-3(4-2)]+1\\=2(10-3\times2)+1\\=2(10-6)+1\\=2\times4+1\\=9[/tex]
Convert a lot size of 2/9 acre to square feet given the conversion factor: 1 acre = 43,560 ft2
Answer:
9680 ft^2
Step-by-step explanation:
1 acre = 43,560 ft^2
(2/9) acre = (2/9)*43,560 ft^2
(2/9) acre = 9680 ft^2
Find the value of x 8/x=6/30
Answer:
x = 40
BRAINLIEST, PLEASE!
Step-by-step explanation:
8/x = 6/30
8/x = 1/5
x = 8/(1/5)
x = 8(5)
x = 40
James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in total to go around all
four sides of his yard?
O 10 ft
O 20 ft
O 40 ft
O 80 ft
Answer:
40 ft.
Step-by-step explanation:
Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.
Hope this helps!