Find the measure of the arc,
mEDF = 124°
Steps
360 = 146 + 90 + x
360 = 236 + x
-236 -236
124 = x
Answer:
m(EDF) = 214°
Step-by-step explanation:
GIVEN :-
Measure of minor arc FE = 146°Measure of minor arc DE = 90°TO FIND :-
Measure of major arc FE (also known as arc FDE)FACTS TO KNOW BEFORE SOLVING :-
Sum of all angles in a circle is 360°.SOLUTION :-
According to the figure given in question ; in the orange circle ,
m(minor FE) + m(minor DE) + m(minor FD) = 360°
⇒ 146° + 90° + m(minor FD) = 360°
⇒ m(minor FD) = 360° - 236° = 124°
∴ m(major FE) [or] m(EDF) = m(minor DE) + m(minor FD) = 90° + 124° = 214°
what is equivalent to 5x + 8y + 2
Answer:
(5 · x) + (8 · y) + (2 · 1)
Answer:
5x + 2 ( 4y + 1 )
Step-by-step explanation:
i just factorised 8y + 2
A baseball team has won 50 games of 75 played. The team has 45 remaining games to play. How many of the remaining games must a team win in order to win 60% of the total games played during the season?
A. 20
B. 21
C. 22
D. 23
Answer:
C. 22
Step-by-step explanation:
The team played 75 games and 45 remaining.
75+45=120
60% of 120 = 0.6×120= 72
The team must win 72 games and they already won 50 games so the team has to win 72-50=22 games more.
Find the area of a triangle with a base of 4 meters and a height of 14 meters.
Answer:
28 meters²
Step-by-step explanation:
Area of triangle = 1/2(base x height).
It is given that:
base = 4 meters
height = 14 meters
Plug in the corresponding numbers to the corresponding terms:
Area of the triangle = 1/2(4 * 14)
Area of the triangle = (4 * 14)/2
Area of the triangle = 56/2
Area of the triangle = 28 meters²
Answer:
The answer is 28 meters^2.
Step-by-step explanation:
To solve for the area of the triangle, start by using the area of a triangle formula, which is A= [tex]\frac{1}{2}[/tex] bh.
Next, plug in the information from the question into the formula. The formula will look like A= [tex]\frac{1}{2}[/tex](4)(14).
Then, solve the equation, and the final answer will be 28 meters^2.
4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.
Altogether there are 68 legs.
How many
stools are there?
Answer:
There are 12 stools in the room
A factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where t is the number of years that the factory has been in operation. Find the total amount of pollution discharged during the first 7 years of operation. (Round your answer to two decimal places.)
Answer:
The total amount of pollution discharged during the first 7 years of operation is 1.955 tons
Step-by-step explanation:
Given
[tex]r(t) = \frac{t}{t^2 + 1}[/tex]
Required
The total amount in the first 7 years
This implies that:
[tex]r(t) = \frac{t}{t^2 + 1}; [0,7][/tex]
The total amount is calculated by integrating r(t) i.e.
[tex]v = \int\limits^a_b {r(t)} \, dt[/tex]
So:
[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]
--------------------------------------------------------------
We have:
[tex]t^2 + 1[/tex]
Differentiate
[tex]d(t^2 + 1) = 2t[/tex]
Rewrite as:
[tex]2t = d(t^2 + 1)[/tex]
Solve for t
[tex]t = \frac{1}{2}d(t^2 + 1)[/tex]
---------------------------------------------------------------------------
So:
Make t the subject
[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]
[tex]v = \int\limits^7_0\frac{1}{2}* {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]
[tex]v = \frac{1}{2}\int\limits^7_0 {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]
Integrate
[tex]v = \frac{1}{2}\ln(t^2 +1)|\limits^7_0[/tex]
Expand
[tex]v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)][/tex]
[tex]v = \frac{1}{2}[\ln(50) - \ln(1)][/tex]
[tex]v = \frac{1}{2}[3.91 - 0][/tex]
[tex]v = \frac{1}{2}[3.91][/tex]
[tex]v = 1.955[/tex]
What type of symmetry’s are shown?
Answer:
18o rotational symetry
Step-by-step explanation:
The graph shows the function f(x) = 2*
What is the value of x when f(x) = 4?
A. 3
B. 1
C. 2
D 0
Answer:
Step-by-step explanation:
2
A cylinder has a height of 7 inches and a radius of 14 inches. What is its volume? Use a
3.14 and round your answer to the nearest hundredth.
Answer: Volume is 4308.1 in³
Step-by-step explanation: Volume is pii· r²·h = 3.14 · (14 in)²·7 in
1/3 x 1/2 x 1/4 = V.
Answer:
Step-by-step explanation:
1*1*1/3*2*4=V
1/24=V
multiply all numerator and all denominator.
PLA ANSWER RN
What is the value
of x?
A. 5
B. 8
C. 11
D. 12
Answer:
a
Step-by-satep explanation:
just took it
Suppose the length of each side of a square is increased by 5 feet. If the perimeter of the square is now 56 feet, what were the original side lengths of the square? A. 9 ft B. 11 ft C. 14 ft D. 36 ft
Answer:
D. 36 ft
Step-by-step explanation:
5 feet added to each of 4 sides is 20 feet
56 - 20 = 36
which expressions are equivalent to -3x+6v+7x14?
Between the 4 and the 7 is it a multiplication or an X?
If the multiplication sign, this is the solution
[tex] - 3x + 6v + 7 \times 14 \\ = 6v - 3x + 98[/tex]
Sonya has a collection of gold and silver coins.
65% of her collection consists of gold coins.
70 of her coins are silver.
What is the total number of coins in Sonya's collection?
Enter your answer in the space provided.
HELP PLEASE
Answer:
10.5
Step-by-step explanation:
65% of 70 is 45.5
So gold is 45.5 and silver is 54.5
so but45.5 + 54.5 = 100% but divide by 2
which is 50% but now we find 10% and 5%
10% = 7
5% = 3.5
now add 7 and 3.5 together
7+3.5 = 10.5
help it's due tomorrow
Answer:
a) 42
b) 42/120
Step-by-step explanation:
Oof, I was just about done with answering this question but I deleted it all by accident so I had to rewrite it.
Anyways, the first part of it is correct.
The second part of it is a bit harder. See, this is conditional probability, which uses the equation that I've attached below.
For Event A, you'll need the total boys / total students:
0.44166
For Event B, you'll need the total counters / total students:
0.83333
Now, plug these values into the equation. The weird U thingy is called "Union". It basically means "and".
P(A and B) / P(B)
P(0.44166 * 0.8333) / P(0.8333)
0.36803 / 0.8333
This is about 0.44165, or 53/120
An ion channel can be in either open (O) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Calculate the probability of the ion channel going through the following sequence of states: COO. An individual can be either susceptible (S) or infected (I), the probability of infection for a susceptible person is 0.05 per day, and the probability an infected person becoming susceptible is 0.12 per day. Calculate the probability of a person going through the following string of states: SISI.
Answer:
a) P (COO) = 0,135
b) P ( SISI) = 0,00015
Step-by-step explanation:
a) the probability of an ion channel in open position is 50 % 0,5
the probability of an ion channel in close position is 50 % 0,5
probability for the following sequence of states COO
to be closed 0,5 (C)
from (C) to pass to open 0,3 (O)
and to stay O is 0,9
Then the probability of the sequence of states COO is
P (COO) = 0,5 * 0,3 * 0,9
P (COO) = 0,135
b) If people are either infected or susceptible, then
Probability of an individual infected is 0,5
Probability of an individual susceptible is 0,5
to pass from susceptible to infected is 0,05
to pass from infected to susceptible is 0,12
then
P ( SISI) = 0,5 * 0,05*0,12*0,05
P ( SISI) = 0,00015
probability for the following sequence of states COO
Draw a line with the given intercepts.
X-intercept: 2
y-intercept: -1
Answer:
Equation: y = (1/2)x - 1
Step-by-step explanation:
What is the proportion for this problem?
It is already solved, just need the proportion.
Will mark brainliest to the correct answer!
Answer:
1/2
Step-by-step explanation:
Given the equation
6/12 = x/8
We are to find the proportion
Cross multiply
12 * x = 8 * 6
12x = 48
x = 48/12
x = 4
Hencethe value of x is 4
Substitute into the expression to get the proportion
6/12 = 4/8
In its lowest term;
6/12 = 4/8 = 1/2
Hence the required proportion is 1/2
Please help It is important
Answer:
$54
Step-by-step explanation:
first find 1/4 of $80 and then take that answer and find 10% of that to get your answer
Law of Sines, due by tonight
Answer:
[tex]21^{\circ}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.
Substituting given values, we have the following equation:
[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]
*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
Using traditional methods it takes 99 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 190 students and observed that they had a mean of 98 hours. Assume the population variance is known to be 49. Is there evidence at the 0.05 level that the technique reduces the training time?
State the null and alternative hypotheses.
Find the value of the test statistic. Round your answer to two decimal places
Answer:
the aswer is 0.40 hope this helps
Step-by-step explanation:
The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights from Boston to Washington D.C. when the ticket price is p dollars. Interpret the following.
f'(70) = 1.5
When the ticket price is _____, the weekly profit to the airline on flights from Boston to Washington is _____
Answer:
When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.
Step-by-step explanation:
The function has the following format:
f(p)
That is, f is a function of p.
The derivative, f'(p), is the variation of f for the given value of p.
f'(70) = 1.5
p = 70, thus, ticket price of $70.
f'(70) = 1.5 means that the weekly profit to the airline on flights from Boston to Washington is 1.5 thousand dollars, that is, $1500.
Thus the correct answer is:
When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.
Pls help this is due soon
Answer:
180⁰ 8. 20⁰ 3. rays and angle
Step-by-step explanation:
need ko po ang sagot
Can someone please help me ASAP??
Find the surface area of the figure below
Answer:
592 cm
Step-by-step explanation:
16*10/2=80
16*10/2=80
16*12=192
10*12=120
10*12=120
Add all the sum, which would equal 592.
Hope this helps.
Find the measure of arc TV
y=300(1+0.06/12)^12t
i need to answer. no links or I'll report
Find the sum of the geometric series if n = 6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67
Help me with this please?? Find the indicated side length(s) of this triangle in simplified radical form
Answer:
b = 5√6
c = 10√5
Step-by-step explanation:
This is a 30-60-90 triangle
the hypotenuse is always twice the short leg
c = 2(5√2)
c = 10√5
The long leg is alway √3 times the short leg
b = √3(5√2)
b = 5√6
extend pattern 1,4,9
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100......
Step-by-step explanation:
This is a list of perfect squares.
1 is the square of 1. ( 1 x 1 = 2)
4 is the square of 2. (2 x 2 = 4)
9 is the square of 3. (3 x 3 = 9)
So, the next number would be the square of 4 which is 16 ( 4 x 4)
And so on.