Answer:
4.8 feet
Step-by-step explanation:
Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.
Let x represent the horizontal distance (the adjacent leg)
cosine θ = adjacent / hypotenuse
cosine 76° = x / 20
(20)(cosine 76°) = x
4.8 = x
So, the horizontal distance is approximately 4.8 feet
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
Answer:
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Step-by-step explanation:
For each coil, there are only two possible outcomes. Either it is good, or it is not. Since the coil taken is replaced, the probability of choosing a good coil on a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
88 out of 100 are good:
This means that [tex]\pi = \frac{88}{100} = 0.88[/tex]
Find the probability of getting two good coils when two coils are randomly selected.
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.88)^{2}.(0.12)^{0} = 0.7744[/tex]
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Hello pls help
Find the volume of this sphere.
Use 3 for 7T.
2 ft
V~ [?]ft
V = 3
Answer:
volume of the sphere=4/3πr³
=4/3×3×2³
=32 feet³
Answer:
32 ft³
Step-by-step explanation:
Hi there!
[tex]V=\frac{4}{3} \pi r^3[/tex] where r is the radius
Plug in the given radius, 2 ft
[tex]V=\frac{4}{3} \pi (2)^3[/tex]
Plug in the given value of π, 3
[tex]V=\frac{4}{3} (3) (2)^3\\V=\frac{4}{3} (3) (8)\\V=(4)(8)\\V=32[/tex]
Therefore, the volume of the sphere is 32 ft³.
I hope this helps!
Iff a projectile has a maximum range of 40 metres , find its speed of projection . ([tex]g = 10ms^-^2[/tex])
.[tex]0.5 ms^-^1\\2ms^-^1\\\\4ms^-^1\\\\20ms^-^1\\\\400ms^-^1[/tex]
its speed of projection is 20 ms^(-1)
Answer:
Solution given:
maximum range=40m
u²sin90°/g=40
u²*sin90°/10=40
u²=40*10
u=[tex]\sqrt{400}=20m/s[/tex]
Can someone help with this please & thank you It’s due tomorrow
Answer:
[11] x = 3
[12] x = 37
[13] x = 1.2
[14] x = 62
Apparently I'm supposed to do one at a time so here we go again
If
R = (5+T)P/3
then what is p?
Answer:
Step-by-step explanation:
R = (5+T)P/3
3R = (5+T)P
3R/ (5+T) = P
[tex]P = \frac{3R}{(5+T) }[/tex]
Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.
Answer:
25 divided by 5 equals 5
it cost 5 dollars per package
Hope This Helps!!!
which statements are true about the target function? Check all that apply.
tan(PAB) = y/x
tan(APB) = x/y
tan(PAB) = sin(PAB)/cos(PAB)
tan(PAB) = cos(PAB)/sin(PAB)
tan(PAB) = PB/AB
Answer:
A, B, C, E.
Step-by-step explanation:
.
Squares of Binomials
Please Help
What is the value of p?
A)180
B)90
C) 116
D)58
Can someone help I don’t understand
Answer:
58
Step-by-step explanation:
Need help on this! 10 points!!!
Answer:
C) or 1.25
Step-by-step explanation:
all you have to do is divide (thats how you undo multiplication) 150 and 120 (150/120) leading you to get 1.25.
HOPE THAT HELPED :D
Can somebody help me please?!!
Answer:
Step-by-step explanation:
1+1+1+5+1+1+4+5+10+1LL pop
Answer:
The answer should be 30. I don’t know if those letters are apart of it but it’s 30.
PLS HELP ASAP!
which of the follwing expressions is equvialent to:
*image below*
Answer:
A
Step-by-step explanation:
simplify equation A
then you will get same as the expression above
0,5.[tex]\sqrt{0,09}[/tex]-2.[tex]\sqrt{0,05}[/tex]+[tex]\sqrt \frac{1}{4}[/tex]
Answer:
0.21
Step-by-step explanation:
The given expression is :
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]
We need to solve it.
We know that,
[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]
So,
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]
or
[tex]=\dfrac{21}{100}[/tex]
So, the value of the given expression is equal to 0.21.
Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?
There are 6 numbers on the dice, rolling a 3 would be 1/6
Multiply total rolls by probability of getting a 3:
132 x 1/6 = 132/6 = 22
The answer: 22 times.
A side of the triangle below has been extended to form an exterior angle of 158º. Find
the value of x.
Answer:
22°
Step-by-step explanation:
180° - 158° = 22°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?
Answer:
√65
Step-by-step explanation:
The distance formula can be represented as
[tex]\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}[/tex]
Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have
[tex]\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}[/tex]
as our answer
(not really a math problem) I have a 125 gallon tank, 5ft long and 6ft in circumfrence 3 inches of fuel in the tank how much gallons is that ` - `
Answer:
6.25 gallons
Step-by-step explanation:
If 125 gallon tank in equivalent to 5ft
1 foot is equal to 12inches...
5 ft ×12 =60 inches
So 125 gallon tank= 60 inches
If 60 inches = 125 gallon
3 inches = 125 × 3 / 60
= 375/60
= 6.25 gallons
Jordan bikes 4/3 miles in 1/10 hours. What is his Speed in miles per hour?
Answer:
speed=distance / time
speed=(4/3) / (1/10)
speed=13.33miles per hour
A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train
Answer:
48km hr this is the answer in your question.
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)
Answer: 69, -69
Step-by-step explanation:
it is easy buddy not lies
Solve for 0 or x, round to the nearest tenth.
Answer:
theta = 44.4 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig formulas
cos theta = opposite/ hypotenuse
cos theta = 15/21
Take the inverse of each side
cos^ -1 (cos theta) = cos ^-1 (15/21)
theta =44.4153086
theta = 44.4 degrees
Round 7874 to the nearest 100
Answer:
7900 is the round off to the nearest hundred
What is the result of isolating x^2 in the equation below?
y^2-3x^2 = 6
Answer;
x² = 42 - 2
3
Step-by-step explanation:
#carryonlearning
Answer:
Step-by-step explanation:
y² - 3x² = 6
Subtract y² from both sides
-3x² = 6 - y²
Divide by -3
[tex]\frac{-3x^{2}}{-3}=\frac{6-y^{2}}{-3}\\\\x^{2}=\frac{y^{2}-6}{3}[/tex]
How do you calculate 3x-9y?
Answer: 3(x-3y)
Step-by-step explanation: first you have to take the 3x and split it up so it can make 3(x-3y) then you have to rewrite it to -9 as 3x3 and then factor out common term 3 which would be your final answer 3(x-3y)
Anna is following this recipe to make biscuits.
Anna uses 750 g of margarine.
How many grams of sugar will she need?
Recipe: Makes 24 biscuits
60 g sugar
100 mL syrup
250 g oats
125 g margarine
60 g chocolate
Answer:
130
Step-by-step explanation:
If f(x) = x+1 and g(x) =x^2, then gf(2) =
Answer:
g(f(2)) = 9
Step-by-step explanation:
Evaluate f(2) and substitute the value obtained into g(x)
f(2) = 2 + 1 = 3 , then
g(3) = 3² = 9
Answer:
9
Step-by-step explanation:
f(x)=x+1........(i)
g(x)= x^2......( ii ).
gf(2)........(III)
substitute f( 2) to ......(I)
f(2)=2+1
f(2)=3
gx=gf(2)
gf(2)= 3^2
=9
At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2
pahelp naman po :<
Answer:
E = 7.30 J
PE = 7.30 J
KE = 0
Step-by-step explanation:
Given;
maximum height, h = 1.2 m
mass of the object, m = 0.62 kg
velocity, v = 0 m/s
acceleration due to gravity, g = 9.81 m/s²
To determine;
total energy, E =?Potential energy, PE =?Kinetic energy, KE =?The potential energy, PE = mgh
PE = 0.62 x 9.81 x 1.2
PE = 7.30 J
The kinetic energy, KE = ¹/₂mv²
KE = ¹/₂ x 0.62 x 0
KE = 0
The total mechanical energy, E = PE + KE
E = 7.30 J + 0
E = 7.30 J
Heya Kitties! Can someone answer this for me?
3⋅2−1(−10)−3+12?
Thanks!
Answer:
the answer of the above question is -1.2
