let : y = Opponent side, x= Adjecent side
and r= hypotenuse
tan = 4/5
y/x = 4/5 => y =4, x=5
so, r = √4²+5²=√16+25=√41
sin = y/r = 4/ √41
cos = x/r = 5/√41
tan = y/x = 4/5
csc = r/y = √41 /4
sec = r/x = √41 /5
cot = x/y = 5/4
Find the greatest common factor of the terms in the following expression: 8m + 18mn.
m
2 m
mn
8
Answer:
2m
Step-by-step explanation:
GCF of 8 and 18 is 2 and m is the only variable in both parts of the equation.
A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?
Answer:
10344.827586 basketballs
Step-by-step explanation:
A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?
Step 1
We find the volume of the room
The room is rectangular in shape
Volume = Length × Width × Height
= 15ft × 20ft × 10ft
= 3000ft³
Step 2
Basket ball is spherical in shape
Volume of a sphere = 4/3πr³
Diameter = 9.6 inches
Radius = Diameter/2 = 9.6 /2 = 4.8 inches
Convert Radius from inches to ft
= 4.8inches/12
= 0.408333 feet
Volume of a sphere = 4/3 × π × 0.408333³
= 0.29 ft³
Step 3
3000 ÷ 0.29
10344.827586
Can anyone help?????
List the first 5 multiples of 4. * Your answer
Answer:
4,8,12,16,20
Step-by-step explanation:
The volume of a sphere is 5000pi m^3 What is the surface area of the sphere to the nearest square meter?
Answer:
2nd chioce
Step-by-step explanation:
someone please explain this
Answer:
Step-by-step explanation:
110=4t+90(being vertically opposite angles)
110-90=4t
20/4=t
5=t
Answer:
Hello! answer: t = 5 degrees
Step-by-step explanation:
these are vertical angles meaning they will have the same measure! 4 × 5 = 20 and 20 + 90 = 110 therefore t = 5 HOPE THAT HELPS!
Solve the equation 3 (x+ 4.5) = 36 one step at a time. Use the diagram to help you
(EXPLAIN. step BY step)
I need answers now please!
Answer:
option C
Step-by-step explanation:
write an expression that is equivalent to: 1/3 ÷ 5/6
Answer: 0.4 or 4 i think
I PROMISE TO GIVE BRAINIEST BUT ONLY IF YOU GET IT RIGHT!!!!
Answer:
Step-by-step explanation:
use pythageran theorem
c=square root of a2+b2
but we are solving angle b
so
b2=c2-a2
b2=225-196
b2=29
b approximately = 5.39 Rounded up
Answer:
5.4
Step-by-step explanation:
c² = a² + b²
15² = 14² + b²
225 = 196 + b²
b² = 225 - 196
b² = 29
b = 5.4
i want to fined out that
a^2+b^2
________is equal to?
a+b
Answer:
(a+b)²-2ab
Step-by-step explanation:
First we need to factorize (a+b)²
(a+b)² = a² + 2ab + b²
(a+b)² = a²+b²+2ab
Subtract 2ab from both sides
(a+b)² - 2ab = a²+b²+2ab - 2ab
(a+b)²-2ab = a²+b²
Swap;
a²+b² = (a+b)²-2ab
Hence the expression of a² + b² is (a+b)²-2ab
multiply the negative of 2/3 by the inverse of 4/5
- 10/12 or -5/6
Step-by-step
-2/3 × 5/4 = -10/12
OR
-10÷2/12÷2 = -5/6
hope this helps
In 1980, there were 1.2 million elephants living in Africa. Because the natural grazing lands for the elephant are disappearing due to increased population and cultivation of the land, the number of elephants has decreased by about 6.8% per year. In 1987, what was the population of elephants? Round up to the nearest elephant.
Out of 80 workers surveyed at a company, 11 walk to work A. What is the experimental probability that a randomly selected worker at that company walks to work B. Predict about how many of the 3,700 workers at the company walk to work
Answer:
Below.
Step-by-step explanation:
A. Required probability = 11/80.
B. 3700 * 11/80 = 508.75 so the predicted number would be 509.
if 4x=3y, which shows the ratio of x to y in simplest form?
Answer:
B
Step-by-step explanation:
4x=3y
x/y=3/4
Just like the photo I attached
If 4x=3y, then 3/4 is the ratio of x to y in the simplest form. Option B is correct.
The ratio of x to y can be determined by dividing both sides of the equation 4x = 3y by y:
4x/y = 3y/y
4x/y = 3
To express the ratio of x to y in simplest form, we divide both sides of the equation by 4:
x/y = 3 / 4
Therefore, the ratio of x to y in simplest form is 3/4. option B is correct.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ4
what does 2x<12 eqaul
Answer:
x <6
Step-by-step explanation:
bots these days i swear
can someonee help me please
Answer:4
Step-by-step explanation:
x+8=2x-1
so x-9=0
and x=9
so x+6=9+6=15
and x+8=9+8=17
You can do Pythagoras' theorem:
17^2-15^2=64
so [tex]\sqrt{64}[/tex]=4
Can pls someone help me plsss I need help :(
Answer: [tex]7,5.66,39^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]IJ=9\\\angle I=51^{\circ}[/tex]
from figure, we can write
[tex]\Rightarrow \sin 51^{\circ}=\dfrac{HJ}{9}\\\\\Rightarrow HJ=9\sin 51^{\circ}=6.99\approx 7[/tex]
[tex]\Rightarrow \cos 51^{\circ}=\dfrac{HI}{9}\\\Rightarrow HI=9\cos 51^{\circ}\\\Rightarrow HI=5.66[/tex]
In right angle trianle, the sum of the remaining two angles is [tex]90^{\circ}[/tex]
[tex]\therefore 51^{\circ}+\angle J=90^{\circ}\\\Rightarrow \angle J=90^{\circ}-51^{\circ}\\\Rightarrow \angle J=39^{\circ}[/tex]
Patrick is building a fence for his backyard. He bought wood planks that have a base length of 1/2 a foot and a height of 6 feet. If he buys 24 of these wood planks what is the total area he can cover with the fence
Answer:
72 ft^2
Step-by-step explanation:
area = length x width
1/2 x 8 = 3
3 x 24 = 72
Can someone help with these two questions thank you!
Answer:
10^-5= 1/10^5
so option c is correct
The sum of three numbers is 84, the second number is 2 times the 3rd , the first number is 8 more than the 3rd. What are the numbers
Answer:
a = 27
b = 38
c = 19
Step-by-step explanation:
a + b + c = 84
b = 2c
a = 8+c
8+c +2c+c = 84
4c + 8 = 84
4c = 76
c = 19
b = 2(19) = 38
a = 8 + 19 = 27
What is the correct way to write slope
intercept form?
y = m + b
y = m + bx
y = mx + b
y = x + b
Answer:
y = mx + b
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Answer:
y = mx + bStep-by-step explanation:
y = mx + b is the correct way to write slope intercept form.
A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function \large h=-16t^2+40t. What is the ball's maximum height?
Answer:
[tex]h=25[/tex]
Step-by-step explanation:
From the question we are told that:
Velocity [tex]v=40fts[/tex]
The height h function
[tex]\large h=-16t^2+40t[/tex]
Generally time t is mathematically given by
[tex]h'=-32t+40[/tex]
[tex]-32t+40=0[/tex]
[tex]t=\frac{40}{32}[/tex]
[tex]t=1.25[/tex]
Therefore the ball's maximum height is given as
[tex]\large h=-16(1.25)^2+40(1.25)[/tex]
[tex]\large h=-16(1.25)^2+40(1.25)[/tex]
[tex]h=25[/tex]
During the basketball season, Jason scored 43 points. He scored 5 fewer points than three times the number Kevin did. How many points did Kevin score? Write an equation and solve.
can someone please please please please please help me with this, this is the sixth time I've had to repost this, I need BOTH of these answered,
7.
lateral surface area of traingular prism=perimeter of traingle ×length=[5+3+4]×6=72cm²
curved surface area=2[area oftraingle]=2×1/2×4×3
=12cm²
now
total surface area=72cm²+12cm²=84cm²
8.
volume of traingular prism=area of traingle ×length
=1/2×12×3.4×4=81.6in³
1/2 + 3/4
write answer as a fraction
Answer: 5/4
Step-by-step explanation:
4/6
just add the numerators and denominators
HELP ASAP WILL GIVE BRAINLIEST
Answer:
the area of this triangle is 7(5) which equals 35 sq cm
Step-by-step explanation:
no parallelogram shown?
If events A and B are independent, P(A) = 0.62, and P(
BA) = 0.93, what is P(B)?
O 0.41
O 0.93
O None of the other answers are correct
O 0.58
O 0.67
Answer:
Step-by-step explanation:
you’re given A=0.62 and B/A=0.93
you’re solving for B
substitute your A value of 0.62
B/0.62=0.93
same as B/0.62=0.93/1
now cross multiply
B= 0.62x0.93
B=0.5766
B=0.58
75% of Grant’s coin collection is quarters. If Grant has 200 coins in his collection, how many are quarters?
Answer:
150 of Grant`s coins are quarters. i hope this helped
Could someone please tell me the answer
Its 10.4 you are correct