Answer:
it would be 5pi/6 radians
Step-by-step explanation:
Answer:
[tex]\frac{5\pi }{6\\}[/tex]
Step-by-step explanation:
to convert degrees to radians, use the equation [tex]\frac{\pi }{180\\}[/tex]. then simplify
150*[tex]\frac{\pi }{180\\}[/tex]=[tex]\frac{150\pi }{180\\\\}[/tex]=[tex]\frac{5\pi }{6\\}[/tex]
A florist prepares an order of daisies and roses. For every 5 daisies she orders 2 roes. What 2 equations show the relationship between the number of daisies d and the number of roses r ?
Answer:
[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]
Step-by-step explanation:
Given
5 daises to 2 roses
Required
Determine the relationship between them
The question shows a direct proportion between number of daises and roses.
i.e.
[tex]d\ \alpha\ r[/tex]
Where d = daises and r = roses
Convert the above expression to an equation
[tex]d = kr[/tex]
Make k the subject
[tex]k = \frac{d}{r}[/tex]
When d = 5 and r = 2;
[tex]k = \frac{5}{2}[/tex]
[tex]k = 2.5[/tex]
So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr
So:
[tex]d = 2.5 * r[/tex]
[tex]d = 2.5r[/tex] ----------- (1)
Make r the subject in (1)
[tex]r = \frac{d}{2.5}[/tex] ------------------------(2)
Hence, the relationships between d and r are:
[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]
Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36km/h and 48km/h respectively.
i) How long will it take train B to catch up with train A? ii) How far from the start were the two trains when they met
Answer:
Train B catches up with train A at 2.25 h
The two trains meet at 108 Km from the start
Step-by-step explanation:
Relative Speed
There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.
i)
Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.
[tex]X_h=36*0.75=27~Km[/tex]
When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.
Thus, for train B to meet with train A, the head start must be traveled at the relative speed.
The time needed to do that is:
[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]
t = 2.25 h
Train B catches up with train A at 2.25 h
ii) In the time calculated above, train B has traveled a distance of:
[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]
The two trains meet at 108 Km from the start
Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False
Answer:
a. true
b. false
Step-by-step explanation:
What is the equation of this graphed line?
Answer:
[tex]y=-\frac{9}{8} x+7[/tex]
Step-by-step explanation:
The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is -9 (since it decreased by 9) and the run (difference between the two x values) is 8 (since it increased by 8). This makes the slope equal [tex]-\frac{9}{8}[/tex].
The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
2.
What is the area of a triangle whose vertices are J(-2,1), K(4,3), and L(-2,-5) ?
(7 points)
a. What is the formula for the area of the triangle?
b.
Find the length of the base. Do not round to a decimal.
C.
Find the length of the height. Do not round to a decimal.
d. Find the area of the triangle.
Answer:
Area: T = 18
a. The triangle area using Heron's formula: T= sqrt(s(s−a)(s−b)(s−c) )
b. 2[tex]\sqrt{10}[/tex]
c. h = 5.69
d. T = 18
Step-by-step explanation:
a. T= sqrt(s(s−a)(s−b)(s−c) )
T=sqrt( 11.16(11.16−10)(11.16−6)(11.16−6.32) )
T= sqrt(324 )
T =18
b. We compute the base from coordinates using the Pythagorean theorem
c= sqrt( ((−2−4)^2)+ ((1−3) ^2) )
c= sqrt(40) = 2sqrt(10)
c. Calculate the heights of the triangle from its area
An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?
Answer:
5.83
Step-by-step explanation:
70 / 12
Answer:
6.3
Step-by-step explanation:
You want to add 1, 5, and 70 up. Then you would get 76. Next you want to divide 76 into 12. And there you go, 6.3 is the answer
(I hoped this helped. This was a bit confusing to me and difficult but i wanna try to be useful for once lol..)
What do variables and function have in common
Which of the following inequalities is correct?
-9 ≥ -7
-10 > |-10|
6 ≤ |-6|
0 < -13
Answer:
The last one
Step-by-step explanation:
Answer:6 should be right
Step-by-step explanation: since the absolute value of -6 is 6, it satisfies the equation
|-6|=6
6 is less than or EQUAL to 6
>
X
1. Explain why the slope of line a is
6
13
12
11
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
If the original quantity is 17 and the new quantity is 33, estimate the percent change.
Answer:
The estimate rounding to the nearest whole is 94%, the specific answer is 94.12%.
Step-by-step explanation:
calculator lol
how do i do rotations
Please help me!!! I don’t get this what do ever....
Step-by-step explanation:
15÷3+10
5+10
15
=15,521÷15
=1034.73
=3015÷15-186
=201-186
=15
=20×15^2÷30
=4500÷30
=150
=2×15^2÷5-25
=450÷5-25
=90-25
=65
Need help anyone know this as well? Very confusing
After restocking the vending machine, Sonya determined that 2 packs of mints were sold for every 6 packs of gum. If a total of 160 packs of candy were sold, how many were packs of gum?
Answer:
80
Step-by-step explanation:
160÷2=80 yay!!!!!!!!!!!
Answer:
(By mints I hoped you meant candy) 480 packs of gum
Step-by-step explanation:
2 packs of candy for every 6 packs of gum. Divided beach side by two to get ration of 1:3. This means that for every 1 pack of candy 3 packs of gum are sold. 160 x 3 = 480.
+ 19=20+24
A 11
B 13
C 15
D 25
Answer:
its D 25
i just know stuff
Consider the equation Ax+By=−36. If the x-intercept is (−3,0) and the y-intercept is (0,9), what are the values of A and B?
Answer:
A= 12
B = -4
Step-by-step explanation:
( -3,0) & (0,9) should satisfy the equation Ax + By = -36
when ( -3,0)
-3A+ 0 = -36
A = 12
when (0,9)
0 + 9B = -36
B = -4
The value of A and B is 12 and -4.
Given that,
The equation is Ax + By = -36.And, the x-intercept is (-3,0) and the y-intercept is (0,9).Based on the above information, the calculation is as follows:
Ax + By = -36
When (-3,0)
So,
-3A+ 0 = -36
A = 12
Now
when (0,9)
So,
0 + 9B = -36
B = -4
Therefore we can conclude that the value of A and B is 12 and -4.
Learn more: brainly.com/question/3334417
ILL MARK U BRAINLIEST!!!
Answer:
20
Step-by-step explanation:
first take out the cost of the cup 31.75-6.75=25
then divide by the cost of the refills 25/1.25=20
hope this helps :)
HELP ME PLS!!!!!!!!!!!!!!!!!!!!
Answer:
1) Yes because the slope, 10x, is constant
2) Yes for every 1 hour of baby sitting $10 dollars is earned.
Consider Brainliest!
Dr. Osborne is studying a bacterial colony with a population of 30,000 bacteria. The colony is growing 5% per hour. How many bacteria will the colony contain in 4 hours?
Answer:
36,465.1875
Step-by-step explanation:
The colony grows by 5% each hour, so you take the current total of bacteria, (100%) and add 5%. Every hour, you multiply the current total by 105%.
Hope this helps :)
i need help plz i dont understand
Can someone help. I need it ASAP
Answer/Step-by-step explanation:
10 is between the perfect squares of 9(3) and 16(4).
This means the square root of 10 is between 3 and 4.
The square root of 10 is about 3.162
So, it is less than 5.
Evaluate the expression 2(n + 1) - 5 using n=4
Answer:
5
Step-by-step explanation:
2(4+1)-5
2(5)-5
10-5
5
Write the equation of the line, in point-slope form, that has a slope of and passes through the point (-6, 4). Fill in point-slope form. Y-___ =___(x-__)
Answer:
y - 4 = -5(x - -6)
Step-by-step explanation:
its correct
Find the series in A.P whose sum to n terms is n*(n+2)
Answer:
3, 5, 7, 9, 11, .........
Step-by-step explanation:
Given
[tex]S_{n}[/tex] = n(n + 2) , then
S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3
S₂ = 2(2 + 2) = 2(4) = 8
S₃ = 3(3 + 2) = 3(5) = 15
Thus
a₂ = S₂ - S₁ = 8 - 3 = 5
a₃ = S₃ - S₂ = 15 - 8 = 7
The first 3 terms are 3, 5, 7
This is an AP with common difference d = 2, then
a₄ = a₃ + 2 = 7 + 2 = 9
a₅ = a₄ + 2 = 9 + 2 = 11
and so on
If the circumference of a circle and the perimeter of a square are equal, then
(a) Area of circle = Area of the square
(b) Area of circle > Area of the square
(c) Area of circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square
Answer:
nothing definite can be said and square
Answer:
option no b is correct area of circle>area of square.
Step-by-step explanation:
What is the solution of 6d + 6 - 4d = 12 ?
Help rn please!!! Urgent
Answer:
try 3 i need 20 more letters
Answer:
f(x) = 2x^2 + 12x +10
Step by step solution:
x = 1 x = 5 y = 10
f(x) = a(x+1)(x+5)
f(0) = a(1)(5) = 10
5a = 10
Divide by 5
a = 2
f(x)= 2(x+1)(x+5)
f(x) = 2(x^2 +6x +5)
f(x) = 2x^2 + 12x +10
brainliest much appreciated!
Solve 17 < 5x – 8 < 22. How many integer solutions are there?
Answer:
0
Step-by-step explanation:
To find the number of integer solutions there are to the inequality, we need to separate [tex]x[/tex] so it is on its own.
[tex]17<5x-8 < 22[/tex] (given inequality)
[tex]25 < 5x < 30[/tex] (add [tex]8[/tex] )
[tex]5 < x < 6[/tex] (divide by [tex]5[/tex] )
Since there are no integers between [tex]5[/tex] and [tex]6[/tex], it means there are 0 integer solutions for the inequality [tex]17 < 5x - 8 < 22[/tex].
Hope this helps :)
How do you answer this?
Answer:
x= -3/2Step-by-step explanation:
((4)²)^x = 1/(4)³
4²^x = 4³
thus the powers are same then
2x =-3
x=-3/2Answer:
x = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^m}[/tex]
Note that 16 = 4² and 64 = 4³ , then
[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex] , can be expressed as
[tex](4^2)^{x}[/tex] = [tex]\frac{1}{4^3}[/tex] , that is
[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]
Since the bases on both sides are equal, then equate the exponents
2x = - 3 ( divide both sides by 2 )
x = - [tex]\frac{3}{2}[/tex]
I’ll be great if you guys can explain these questions I’ll give brainliest
Answer:
both yes
Step-by-step explanation:
from my understanding an order pair means the x values from all must never match so
Answer:
no is not pairs function