Answer:
43
Step-by-step explanation:
First you divide the opposite side from the angle by the hypotenuse.
33/44
then you take the inverse sine of 33/44, resulting in
43.43°, which rounds to 43°
We have two fractions, 3/4 and 7/6 , and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator?
Answer:
12,24 etc
Step-by-step explanation:
4 and 6 both go into 12 evenly
4*3 = 12
6*2 = 12
12 is the least common denominator
We could also use 24
4*6 = 24
It is a common denominator, but not the least common denominator
We can use any multiple of 12
Graph the inequality on the axes below.
-5x + 4y > -24
Step-by-step explanation:
-5x + 4y > -24
Plot and draw a graph that's it
A television was sold at a gain of 20% after allowing a discount of 20% on its marked price . Had it been sold after allowing 25% discount there would have been a gain of Rs.1450. Find the marked price of the television.
Answer: The marked price is 40% more than the original price
40% - 25% = 15% or 1450
Marked price = 140%
140 × 1450 ÷ 15 = 13533. 33
Step-by-step explanation:
The point (0,0) is a solution to which of these inequalities?
Answer:
c
Step-by-step explanation:
Answer:
C. y - 7 < 2x - 6
Step-by-step explanation:
A. y + 7 < 2x + 6
0 + 7 < 2(0) + 6
7 < 0 + 6
7 < 6 —————- FALSE
B. y + 7 < 2x - 6
0 + 7 < 2(0) - 6
7 < 0 - 6
7 < -6 —————FALSE
C. y - 7 < 2x - 6
0 - 7 < 2(0) - 6
-7 < 0 - 6
-7 < -6 —————TRUE
D. y - 6 < 2x - 7
0 - 6 < 2(0) - 7
-6 < 0 - 7
-6 < -7 ————— FALSE
Glven: 3x < 9.
Choose the solution set.
Answer:
x<3
Step-by-step explanation:
We divide equation by 3. So we get x<3. You can think of it with logic, too.
Answer:
x<3
Step-by-step explanation:
3x< 9
Divide each side by 3
3x/3 <9/3
x < 3
There is an open circle at 3 and a line going to the left
Guys please help me with this problem
Answer:
11. 5%
Step-by-step explanation:
1 + percent increase = 1.115
Percent increase = 1.115 - 1 = 0.115 = 11.5 /100 = 11.5 %
Answer:
Step-by-step explanation:
In the exponential form of an equation, the growth or decay rate is found inside the parenthesis. The standard form of an exponential equation is
[tex]y=a(1+r)^x[/tex] if it's growth, or
[tex]y=a(1-r)^x[/tex] if it's decay.
Looking at those equations, logically a growth equation is greater than 1, while a decay equation is less than 1. Obviously, our function is a growth.
To determine the rate of growth, we look closely at (1.115) inside the parenthesis. BECAUSE that is greater than 1, we KNOW it is growth, therefore, it follows the (1 + r) pattern. Let's break up our (1.115) so it models that pattern:
(1.115) --> (1 + .115) and since these are percentages in their decimal form, it follows that 1 is 100% and .115 is 11.5%. Our growth rate is 11.5%
A contractor construct to build a house in 30 days. He employed 10 men to build the house. After 20 days. They completed only 1 /3 of the total work. How many more men will be required to finish the remaining work within due time?
Answer:
30
Step-by-step explanation:
First, we can say that because the men do 1/3 of the work in 20 days,
for 10 men:
20 days = 1/3 total work
Because we need the house built in 30 days, and 20 days have already passed, we only have 30-20=10 days left. Furthermore, 20/2=10, so in our equation of 20 days = 1/3 total work, we can divide both sides by 2 to get
10 days = 1/6 total work
The amount of work we need to get done in 10 days is (all of it) - (1/3 of total work) = 1 - 1/3 = 2/3 = 4/6
Since 10 men can do 1/6 of the work in 10 days, 10*4 =40 men can do 1/6 * 4 = 4/6 of the work in 10 days. This is the amount of work that needs to get done. Therefore, the contractor needs 40 (total workers) - 10 (current workers) = 30 new workers to finish the remaining work in due time
Helppppp pleaseeee anyoneeeee
Step-by-step explanation:
so, the time to answer questions has to be added to the speaking time to get the total time of the meeting.
the speaking time is constant (25 minutes).
q = 1 means t = 25 + q = 25 + 1 = 26
q = 2 means t = 25 + q = 25 + 2 = 27
q = 3 means t = 25 + q = 25 + 3 = 28
q = 8 means t = 25 + q = 25 + 8 = 33
J.W. is an artist and sells hisnpottery each year at a local Renaissance Festival. He keeps track of his sales and the 7.75% sales tax he collects by making notations in a ledger. Every evening he checks his records by counting the total money in his cash drawer. After a day of selling pottery, the cash totaled $1253.68. How much is from the sale of the merchandise and how much is sales tax? Round your answer to the nearest cent.
The amount from tax is $97.16 while the amount from sales is $1156.52
Tax is a compulsory sum levied on the sales of goods and services
Taxes increases the price of a good
The price of J.W.'s pottery would be 7.75% higher as a result of the tax
Amount of tax collected = percentage of sales tax x total of cash
0.0775 x $1253.68 = $97.16
Amount from the sale = total cash - taxes
$1253.68 - $97.16 = $1156.52
For more information on how to determine sales tax, check : https://brainly.com/question/19715580?referrer=searchResults
can i get some help please
Answer:
28.26
Step-by-step explanation:
We want to find the area of the circle shown.
We can calculate the area of a circle using the formula A = πr²
where r = radius
The circle shown has a given diameter of 6
We want the radius.
To convert diameter to radius simply divide the measure of the radius by 2
So radius = 6 / 2 = 3
Now to find the area we simply plug in the value of the radius into the area of a circle formula
Area of a circle: A = πr²
r = 3
( Note that the question says to use 3.14 for π )
So π = 3.14
* Substitute values *
A = (3.14)(3)²
3² = 9
(3.14)(9) = 28.26
A = 28.26
And we are done!
Can someone help me I don't understand
Answer:
79.605
Step-by-step explanation:
sin 31° = 41/x
x = 41/sin 31°
x = 79.605
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 12 mm. whats the volume of each lollipop! ANSWER THIS ASAP
Answer:
7238.23
Step-by-step explanation:
v=4/3πrcubed
solve it and get the answer
find the missing side. Round it to the nearest tenth.
Final Answer: 82.2
formula used: a² + b² = c²
a = 66
b = 49
c = x
Solution:
66² + 49² = x² (note: 66² = 66 × 66 = 4,356 and 49² = 49 × 49 = 2,401)
4,356 + 2,401 = x²
[tex]\sqrt{6,757}[/tex] = [tex]\sqrt{x^2}[/tex]
82.201 = x
rounded to the nearest tenth: 82.2
hope this helps, let me know if its incorrect or not
have a great day ;)
x + y = −3
y = 2x + 2
Answer:
Step-by-step explanation:
x + y = −3
y = 2x + 2
Substitute the y value of the second equation into the top equation
x + 2x + 2 = - 3
3x + 2 = - 3
3x = -3 -2
3x = - 5
x = -5/3
x + y = - 3
-5/3 + y = - 3
y = -3 + 5/3
y = -1 1/3
Find f(-2).....................................
Answer:
1/25
Step-by-step explanation:
f(x) = 5^x
Let x = -2
f(-2) = 5^-2
We know a^-b = 1/a^b
f(-2) = 1/5^2
= 1/25
Answer:
[tex]\frac{1}{25} [/tex]
Step-by-step explanation:
[tex]f(x) = {5}^{x} \\ f( - 2) \\ f( - 2) = {5}^{ - 2} \\ = \frac{1}{ {5}^{2} } \\ = \frac{1}{25} [/tex]
Find the remainder when the polynomial 9x2 - 4x - 7 is divided by x - 3.
Answer: 62
Step-by-step explanation:
[tex]\displaystyle\bf 9x^2-4x-7 =0 \\\\ Synthetic \ \ division\ \ if \ \ x-3 =0 => x=3 \\\\ then \ \ 3| \underline{ \ 9 \ | \ -4 \ | \ -7 \ | } \\\\ . \!\! \qquad\qquad +|3*9| \ \ 23*3 | \\ .\!\!\!\!\!\1 \qquad \qquad \qquad | \ 23 \ | \ \ \ \boxed{62}[/tex]
Si Juana tiene dos perros y lo simbolizamos y 2p y le regalan un hato y lo simbolizamos por g como se representa en el leguaje algebraico.
A) 3P
B) 3G
C) 2PTG
D) 2P-G
In 1991, the moose population in a park was measured to be 1900. By 1997, the population was measured again to be 3600. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t , the years since 1990. P = What does your model predict the moose population to be in 2007?
Answer:
Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)
The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.
Step-by-step explanation:
.
Choose the inequality that represents the following graph.
Answer:
D) x ≥ -2
Step-by-step explanation:
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your
answers as radicals in simplest form.
Answer:
x =10
y = 10 sqrt(3)/ 3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 5 sqrt(3) / x
x sin 60 = 5 sqrt(3)
x = 5 sqrt(3)/sin 60
x = 5 sqrt(3) / sqrt(3)/2
x = 5*2
x =10
tan theta = opp /adj
tan 60 = x/y
ytan 60 = 10
y = x/ tan 60
y = 10/ sqrt(3)
y = 10/ sqrt(3) * sqrt(3)/ sqrt(3)
y = 10 sqrt(3)/ 3
Help please............./..
Answer:
D
Step-by-step explanation:
=
-1
Use the distributive property with factoring to find the equivalent expression.
33x + 22y = 11 X + y
Answer:
22x + 21y = 0
Step-by-step explanation:
33x + 22y = 11x + y
Subtract y from both sides.
33x + 21y = 11x
Subtract 11x from both sides.
22x + 21y = 0
I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!! I’ll mark you brainliest
Answer:
(x+2)^2 + (y-15)^-1 = 64
Step-by-step explanation:
plz mark brainlist
What type of number is 37 + 1?
Choose all answers that apply:
Whole number
Integer
Rational
Irrational
help
Answer:
Irrational
Step-by-step explanation:
The constant [tex]\pi[/tex], or "pi", is an irrational mathematic constant that corresponds to a non-terminating (never-ending decimal). Because there are an infinite number of digits in pi, pi cannot be expressed as a fraction and therefore is irrational.
Multiplying or adding a rational number does not make pi rational, and therefore the desired answer is (D) Irrational.
I am on a time crunch please answer fast!
Answer:
Step-by-step explanation:
Function 2 has a slope of 1.1 while function 1 has a slope of just 1.
For the following equation,find y when x = - 3. Then find x when y = 2. Y = 6x + 8
Answer:
When
when x = - 3 then y=. -10
when y = 2 then x =. -1
help me with this two I don't understand
Step-by-step explanation:
5.
[tex](5 + 4 \sqrt{7} ){x}^{2} + (4 - 2 \sqrt{7} ) x- 1 = 0[/tex]
Simplify both radicals.
[tex](5 + \sqrt{112) {x}^{2} } + (4 - \sqrt{28} )x - 1 = 0[/tex]
Apply Quadratic Formula
First. find the discramnint.
[tex](4 - \sqrt{28} ) {}^{2} - 4(5 + \sqrt{112} )( - 1) = 64[/tex]
Now find the divisor 2a.
[tex]2(5 + \sqrt{112} ) = 10 + 8 \sqrt{7} [/tex]
Then,take the square root of the discrimant.
[tex] \sqrt{64} = 8[/tex]
Finally, add -b.
[tex] - (4 + 2 \sqrt{7} )[/tex]
So our possible root is
[tex] - (4 + 2 \sqrt{7} ) + \frac{8}{10 + 8 \sqrt{7} } [/tex]
Which simplified gives us
[tex] \frac{ 4 + 2 \sqrt{7} }{10 + 8 \sqrt{7} } [/tex]
Rationalize the denominator.
[tex] \frac{4 + 2 \sqrt{7} }{10 + 8 \sqrt{7} } \times \frac{10 - 8 \sqrt{7} }{10 - 8 \sqrt{7} } = \frac{ - 72 - 12 \sqrt{7} }{ - 348} [/tex]
Which simplified gives us
[tex] \frac{6 + \sqrt{7} }{29} [/tex].
6. The answer is 2.
9514 1404 393
Answer:
5. x = (6 +√7)/29; a=6, b=1, c=29
6. x = 2
Step-by-step explanation:
5.The quadratic formula can be used, where a=(5+4√7), b=(4-2√7), c=-1.
[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\dfrac{-(4-2\sqrt{7})+\sqrt{(4-2\sqrt{7})^2-4(5+4\sqrt{7}})(-1)}{2(5+4\sqrt{7})}\\\\=\dfrac{-4+2\sqrt{7}+\sqrt{16-16\sqrt{7}+28+20+16\sqrt{7}}}{10+8\sqrt{7}}=\dfrac{4+2\sqrt{7}}{2(5+4\sqrt{7})}\\\\=\dfrac{(2+\sqrt{7})(5-4\sqrt{7})}{(5+4\sqrt{7})(5-4\sqrt{7})}=\dfrac{10-3\sqrt{7}-28}{25-112}=\boxed{\dfrac{6+\sqrt{7}}{29}}[/tex]
__
6.Use the substitution z=3^x to put the equation in the form ...
z² -3z -54 = 0
(z -9)(z +6) = 0 . . . . . factor
z = 9 or -6 . . . . . . . . value of z that make the factors zero
Only the positive solution is useful, since 3^x cannot be negative.
z = 9 = 3^2 = 3^x . . . . use the value of z to find x
x = 2
HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!! it's on KHAN ACADEMY!!
Answer:
[tex]32[/tex]
Step-by-step explanation:
[tex]x=\dfrac{180-116}{2}=\dfrac{64}{2}=32[/tex]
Choose the equation that represents the graph.
graph of a line passing through points negative 3 comma 0 and 0 comma 3
y = x − 3
y = −x + 3
y = −x − 3
y = x + 3
Answer:
Answer: Option D
Step-by-step explanation:
Hey there!
From the above question;
The line passes through (-3,0) and (0,3).
Use double point formula;
[tex]( y - y1) = \frac{(y2 - y1)}{(x2 - x1)} (x - x1)[/tex]
Keep all values;
[tex](y - 0) = \frac{(3 - 0)}{(0 - ( - 3))} (x + 3)[/tex]
Simplify it;
[tex]y = \frac{3}{3} (x + 3)[/tex]
Therefore, y = x+3.
Hope it helps!
Answer:
D
Step-by-step explanation:
Write the following expression as a simplified polynomial in standard form.
(x-4)^2+3(x-4)+6
Answer:
x6−24x5+240x4−1280x3+3840x2−6144x+4102
Step-by-step explanation:
I don't know if this is right or not but there ig?