Answer:
m = 6√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing side length.
Step 2: Identify Variables
POV from angle measure
Angle = 30°
Adjacent Leg = m
Hypotenuse = 12
Step 3: Solve for m
Substitute [cosine]: cos30° = m/12Isolate m: 12cos30° = mEvaluate: 10.3923 = mRewrite: m = 6√3
There is an animal farm where chickens and cows live. All together, there are 59 heads and 184 legs. How many chickens and cows are there on the farm?
Answer:
There are 33 cows and 26 chickens
Step-by-step explanation:
Problem Solving
This problem can easily be solved by using equations, but it's more fun to solve it through pure reasoning and arithmetics.
Let's imagine there are no cows on the farm. Just chickens. 59 chicken heads mean 59*2 = 118 legs.
Now let's take one chicken out and one cow in. The number of heads will remain the same, but now there are two more legs: 120 legs.
We are closer to the answer. The trick is to calculate how many chickens we have to exchange for cows knowing each change means two more legs.
Since we initially had 118 legs, we need to add 184 - 118 = 66 more legs.
62 more legs are 66/2 = 33 changes or 33 cows.
The number of chickens is 59 - 33 = 26
Answer: There are 33 cows and 26 chickens
Find gradient of y=x^2-4x+6 at (3,3)
[tex]y=x^2-4x+6\\y'=2x-4[/tex]
To find the slope/gradient of the curve at the specific point, we use the derivative.
Then substitute x = 3 in y' = 2x-4
[tex]y'=2(3)-4\\y'=6-4\\y'=2[/tex]
Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.
The Point Imperial is the highest point of the Grand Canyon and it is 8,800
- feet tall. A professional hiker climbed to the top of one of the rims of the
Grand Canyon that is 348 feet below Point Imperial. The hiker threw a rock
upward from that rim with an initial velocity of 18 ft per second. How
many seconds will it take the rock to hit the ground? Round your answer
to the nearest tenth of a second.
Answer:
1222
Step-by-step explanation:
sorry youve been waiting a minute
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. And 6 x + 11 y = -2. 4 x + 5 y = 12. And 8 x + 3 y = -4. 5 x + 4 y = 12. And 7 x + 8 y = 12. 10 x + 3 y = 8. And 17 x + 6 y = 10.
Answer:
A. [tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]
Step-by-step explanation:
Required
Determine which system of equation satisfy (-4,2)
To do this, we simply substitute -4 for x and 2 for y in the given functions.
A.
[tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]
[tex]3x + 13y = 14[/tex]
[tex]3(-4) + 13(2) = 14[/tex]
[tex]-12 + 26 = 14[/tex]
[tex]14 = 14[/tex]
[tex]6x + 11y = -2[/tex]
[tex]6(-4) + 11(2) = -2[/tex]
[tex]-24 + 22 = -2[/tex]
[tex]-2 = -2[/tex]
The above shows that the given linear combination has a solution of (-4,2).
Hence, this option answers the question and there is no need to check other options
Answer: the answer is A
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
5
Step-by-step explanation:
Write in y=mx+b form
Answer:
y = -2/3x
Step-by-step explanation:
To write in y=mx+b form, you need the y-intercept (b) and the slope (m).
The y-intercept is the point the line crosses the y-axis. This line crosses the y-axis of (0, 0). This makes the y-intercept equal to 0.
The slope is the rise of the line over the run of the line. Pick two points from the line. It doesn't matter which ones, you will get the right answer regardless.
I picked (0, 0) and (-3, 2). Subtract the x-values from each other, and subtract the y-values from each other.
-3 - 0 = -3 (x)
2 - 0 = 2 (y)
Divide the y by the x to find the slope.
2/-3 = -2/3
Plug in the slope and y-intercept into the equation.
y = mx + b
y = -2/3x + 0
y = -2/3x
Factor completely −5x3 + 10x2.
Prime
−x(5x2 − 10x)
5x(−x2 + 2x)
−5x2(x − 2)
Answer:
-5x³ + 10x² = -5x²(x - 2)
Step-by-step explanation:
Answer:
-5x³ + 10x² = -5x²(x - 2)
Step-by-step explanation:
this is right i fact checked it
happy trails
Please help using the picture below I will give BRAINLY!
Answer:
2) 76
3) 64
Step-by-step explanation:
A waiter had fifty-seven customers. If twenty-three left, how many customers would the waiter still have?
Answer:
34
Step-by-step explanation:
Answer:
34 customers.
Step-by-step explanation:
57-23=34
An investment that you bought for __________ and sold for __________ made a profit.
700-600
700-500
600-500
600-700
Step-by-step explanation:
600-700 is the correct answer
pls mark me as BRAINLIAST
r/2+y=11
pleaseeee help!! i need the answer like rn
Answer:
r=99
Step-by-step explanation:
confused :( please help!!!!
angles are confusing aaaaaa
Answer:
22
Step-by-step explanation:
Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.
90-68= 22
Answer:
29
Step-by-step explanation:
PLS AWNSER BEST AWNSER GET BRAINLIST.
I need a good grade on this final for my pc lol
Answer:
D
Step-by-step explanation:
True or false
It is common for
basic savings accounts
to have interest rates
up to 35%.
Answer:
TRUE
i think
Step-by-step explanation:
what is the rate of change of y to x for 25x-5y=50
Answer:0
Step-by-step explanation:
Because it says rate of change witch don’t have one
what is the lowest term of 35/63
Answer:
5/9
Step-by-step explanation:
A negative correlation has a/an?
positive trend
decreasing trend
stable trend
increasing trend
Answer:
decreasing trend
Gino and Milla each open a savings account with an initial deposit of $6,300. Gino's account pays 2% simple interest annually. Milla's account pays 3% simple interest annually. If Gino and Milla make no other deposits or withdrawals, how much more interest will Milla's account earn than Gino's after 1 year?
Answer:
Milla's account would earn $63 more that Gino's account after 1 year.
Step-by-step explanation:
Both Gino and Milla made an initial deposit of $6300.
Principal = $6300
Gino's rate = 2% = 0.02
Milla's rate = 3% = 0.03
number of years = 1
Interest = Principal x Rate x Time
So that,
for Gino;
Interest = 6300 x 0.02 x 1
= 126
The interest on Gino's savings after a year is $126.
for Milla;
Interest = 6300 x 0.03 x 1
= 189
The interest on Milla's savings after a year is $189.
Milla's interest - Gino's interest = 189 - 126
= 63
Milla's account would earn $63 more that Gino's account after 1 year.
Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In how many different ways can the children sit
Answer: 40320
Step-by-step explanation: I think thats correct because the kids on the outside is 1234567 so then there is a kid in the middle.
The number of ways for the children sit will be 40,320.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Eight children sit together at story time.
And, Seven children sit in a circle and one child sits in the middle to tell the story.
Now,
Since, There are 8 students.
Hence, The number of ways for the children sit = 8!
= 40,320
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
I climbed 775 steps in 12 1/2 seconds
how many steps did i average climb per minute?
Answer:
3720
Step-by-step explanation:
60/12 1/2
*775
Answer:
Per minute is 3720 steps.
Step-by-step explanation:
60 divided by 12.5 = 4.8
4.8 times 775 = 3720
Someone please help me make an equation for the first question! :)
matching math game help!
Answer:
dude your math period is way too long
Answer:
dude your math period is way too long
What is the perimeter of the parallelogram?
29 cm
80 cm
58 cm
32 cm 2
Answer:
199 [tex]cm^{2}[/tex]
Step-by-step explanation:
Answer:
58 CM
Step by Step explanation.
Need done soon as possible
Answer:
x = -9
Step-by-step explanation:
Applying midsegment theorem, we would have the following:
CB = ½(RT)
CB = x + 19
RT = x + 29
Plug in the values
x + 19 = ½(x + 29)
2(x + 19) = x + 29
2x + 38 = x + 29
Collect like terms
2x - x = -38 + 29
x = -9
As part of your retirement, you wish to generate $2,000 monthly payments for a 15-year period. The annual interest rate is 5%. What minimum amount is necessary to fund these payments?
Answer:
$962.0
Step-by-step explanation:
The formula for amount is ;
[tex]A=P(1+\frac{r}n} )^{nt}[/tex]
where
A= amount at the end of the period= $2000
P=minimum amount necessary to fund the payments
r= annual interest rate = 5% = 0.05
n= number of compounding per year , 1
t= time period = 15 years
Applying the values to the formula as;
[tex]2000=P(1+\frac{0.05}{1} )^{1*15} \\\\\\2000=P(1.05)^{15} \\\\\\2000/2.079=P\\\\\\962.0=P[/tex]
►Solve the problems.
I
The tile floor in a restaurant is being replaced. The dimensions of the floor are
shown. What is the total area of the new tile floor in the restaurant?
12 ft
17 ft
15 ft
20 ft
A 64 ft2
B 180 ft2
C 240 ft2
D 300 ft
Anyone know this?need help ASAP
Answer:
45
Step-by-step explanation:
I used Toa to figure it out. First I did Tan(32) times 13 and got 45.
Y greater than or less than 1/4 X + 2
Answer:
y[tex]\geq[/tex]1/4x+2
Step-by-step explanation:
A school district has decided that students in grades 7 through 12 should receive 400 minutes of physical education every 10 school days. A gym teacher at one of the schools believes that his students are not meeting this criterion. She randomly selects 50 students and it is found that her students have a mean of 385 minutes and a standard deviation of 55 minutes. Is this evidence to support her claim?
Answer:
Yes
Step-by-step explanation:
Based on the information provided we can say that Yes, this is enough evidence to support her claim. Since the 50 students were randomly selected and the physical education criteria applies to all of the students in that grade range then these 50 students perfectly represent the total population. That being the case, the results gathered to show that with a standard deviation of 55 minutes some students are surpassing the requirement by very little but others are falling very far from that requirement. When it is a requirement for all of the students in that grade range. Therefore, it is enough to support her claim.
Only right answer please I need help