Answer:
56 degrees
Step-by-step explanation:
Hope this helps
Answer:
124 degrees
Step-by-step explanation: I added them both together
a rectangular prism has its length as 6cm, breath 5cm and height 9cm. find the volume
Answer:
270
Step-by-step explanation:
Volume of rectangular prism = length x width x height
6 x 9 x 5= 270
Find the measure of the arc or angle indicated.
The measure of the arc or angle is:
m∠NLM = 60 deg
How to find the measure of the arc or angle indicated?From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).
Thus, we can say:
arc NM + arc ML = 180°
(3x + 21) + (8x + 16) = 180°
11x + 37 = 180
11x = 180 - 37
11x = 143
x = 143/11
x = 13
arc NM = 8x + 16
put x = 13:
arc NM = 8(13) + 16 = 120°
Recall that:
The measure of inscribed angle is half the measure of its intercepted arc. That is:
m∠NLM = 1/2 * 120°
m∠NLM = 60°
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help pls pls pls pls pls pls pls pls
rewrite 1 1/3 using thirds
Answer:
4/3
I just guessed I think it's right
Decide which project the most profitable is by:
(a) Determining the NPV at a discount rate of 6.5%. (8 marks)
(b) The IRR. ?
Answer:
Project A :
NPV : $703,888.64
IRR : 44.882%
Project B:
NPV : $5,241.26
IRR : 49.662%
Project B is more profitable
Step-by-step explanation:
The NPV gives the difference between the present value of cash inflow and cash outflow over a certain period of time.
The Internal rate of return is the discount rate which makes the NPV of an investment 0. It is used to estimate the potential return on an investment. Investments with higher IRR are said to be better than those with lower IRR value.
Using the net present value, (NPV) Calculator, the NPV for project A is : $703,888.64
The IRR of project A is : 44.882%
The NPV for Project B is : $5,241.26
The Internal rate of return (IRR) : 49.662%
From the Internal rate of return value obtained, we can conclude that, project B is more profitable as it has a higher IRR than project A.
A spinner is divided into 12 identical sectors and labeled 1 through 12.
How many spins are expected for a multiple of 5 to be spun 8 times?
Select from the drop-down menu to correctly complete the sentence.
The spinner is expected to have to spin approximately
times for a multiple of 5 has been spun 8 times.
Answer: The awnser is 48
Step-by-step explanation: I took the quiz
6.03 Quiz: Use Theoretical Probability to Predict
It is expected to take 48 spins for a multiple of 5 to be spun 8 times.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Since there are 12 sectors, the probability of landing on a multiple of 5 is 2/12 or 1/6.
The probability of not landing on a multiple of 5 is 5/6.
We can use the geometric distribution formula to find the expected number of spins:
E(X) = 1/p, where p is the probability of success.
As per the question, the probability of success is 1/6.
Therefore, E(X) = 1/(1/6) = 6.
We need to spin a multiple of 5 8 times, so we multiply the expected number of spins by 8:
6 x 8 = 48.
Therefore, we can expect to spin a multiple of 5-8 times after 48 spins.
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Help me with geometry that's due tonight!
find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²On a survey, 8 students reported how many minutes it takes them to travel to school. Here are their responses.
4, 16, 4, 13, 4, 7, 4, 15
Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.
Answer:
9.6
Step-by-step explanation:
When it says find the mean, it basically means find the average. So we'll add the numbers and divide by the amount of numbers there are (7).
(4+16+4+13+4+7+4+15)/7 = 9.571
Round to the nearest tenth, 9.6.
Which value is in the domain of f(x)?
9514 1404 393
Answer:
(c) 4
Step-by-step explanation:
The domain of the function is ...
-6 < x ≤ 4
Only values greater than -6 (not including -6) and less than or equal to 4 are in the domain. Of the choices listed, only 4 is in the domain.
A six sided die is tossed. Determine the odds against rolling a 3.
The odds are :
Answer:
1/6 because 3 is one of the sides of the 6
The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.
The total number of possible outcomes is 6, since there are six sides on the die.
Therefore, the odds against rolling a 3 are:
5:1
This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:
P(not rolling a 3) = 5/6
Alternatively, the probability of rolling a 3 is 1/6, so we can also say:
P(rolling a 3) = 1/6
And the probability of not rolling a 3 is:
P(not rolling a 3) = 1 - P(rolling a 3)
= 1 - 1/6
= 5/6
Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6
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John grosses 38000 per year. What is his gross weekly wage? _ (round
your answer to the nearest penny)
Answer:
He grosses by $730.8 each week
Step-by-step explanation:
Divide $38000 by 52*
To get 730.76
But you have to round to the nearest penny so u get 730.8
Hope this helps
Have a amazing day!
*Number of weeks in a year.
The equation C=24n+2 represents the cost
Jim did not buy any tickets (n_Jim = 0).
Larry bought 7 more tickets than Jim.
To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.
For Larry:
Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:
$170 = 24n + 2
Subtracting 2 from both sides:
$168 = 24n
Dividing both sides by 24:
n = 7
For Jim:
We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:
n_Jim = n_Larry - 12
n_Jim = 7 - 12
n_Jim = -5
Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).
To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:
n_difference = n_Larry - n_Jim
n_difference = 7 - 0
n_difference = 7
Therefore, Larry bought 7 more tickets than Jim.
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Question
The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12
Alana is 2 years younger than Tommy and the
sum of their ages is 16. How old is Alana?
Answer:
7
Step-by-step explanation:
9 - 2 = 7
7 + 9 = 16
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Cómo resolver con cambio de variable
The solution of the integral by variable change is equal to (1 / 6) · √(2 · x + 3)³ - (3 / 2) · √(2 · x + 3).
How to solve an integral by variable change
In this problem we find the definition of an integral, whose solution must be found by variable change, that is, a kind of algebraic substitution. First, write the complete expression:
∫ [x / √(2 · x + 3)] dx
Second, use algebraic substitution to simplify the expression:
u = 2 · x + 3
x = (u - 3) / 2
dx = du / 2
(1 / 2) ∫ [(u - 3) / (2 · √u)] du
(1 / 4) ∫ [(u - 3) / √u] du
(1 / 4) ∫√u du - (3 / 4) ∫ du / √u
Third, solve the integral:
(1 / 6) · √u³ - (3 / 2) · √u
Fourth, revert the algebraic substitution:
(1 / 6) · √(2 · x + 3)³ - (3 / 2) · √(2 · x + 3)
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Mr. Ruiz has 200 students who are interested in joining the marching band. He decides to have 80% of the band be
made up of brass instruments. How many of the 200 students would play brass instruments?
A. 16 students
B. 60 students
C. 160 students
D. 280 students
Answer:
160 students
Step-by-step explanation:
As, 80% of 200 students instruments are of brass
So 80% of 200
= 80/100 x 200 = 160
So 160 students
If f(x) = 3x+2 and g(x) =x^2-x
Find each value
A. G(3b)
B. F(2)+1
Answer:
Step-by-step explanation:
so first ur oging to add the five then the 6
PLEASE HELP ASAP! Which of the following statements is true ?
x > z
x < z
x = z
Answer:
x < z is true
Answer:
x<z is true
Step-by-step explanation:
Chester hopes to earn $1200 in interest in 2.6 years time from $48,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that
compounds annually, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of
Interest have to be? Round to two decimal places.
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \stackrel{ 48000+1200 }{\$ 49200}\\ P=\textit{original amount deposited}\dotfill &\$48000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2.6 \end{cases}\)
\(49200 = 48000\left(1+\frac{ ~~ \frac{r}{100} ~~ }{1}\right)^{1\cdot 2.6} \implies \cfrac{49200}{48000}=\left( 1+\cfrac{r}{100} \right)^{2.6} \\\\\\ \cfrac{41}{40}=\left( \cfrac{100+r}{100} \right)^{2.6}\implies \sqrt[2.6]{\cfrac{41}{40}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[2.6]{\cfrac{41}{40}}=100+r\implies 100\sqrt[2.6]{\cfrac{41}{40}}-100=r\implies \stackrel{ \% }{0.95}\approx r\)
Find the measure of the arc or angle indicated assume that lines which appear tangent are tangent
Answer:
17. C 60°
18. D 121°
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs.
17. (161° -41°)/2 = 60°
__
18. (? -59°)/2 = 31°
? = 59° +2(31°) = 121°
External angle∠C of the given circle is 60°
The angle subtended by the arc VS is 121°
What is the formula for external angle made by extending two chords?External angle is half of the difference between angles subtended by arcs.
So in problem 17,
∠C = (161°-41°)/2 = 60°
In problem 18,
We got the external angle = 59°
Let us take the angle subtended by arc = x
so,
(x-59°)/2 = 31°
x = 121°
Therefore, External angle∠C of the given circle is 60°
The angle subtended by the arc VS is 121°
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the dimension of the confirms room or 7.2 M * 11 M what is the area of the conference room
Step-by-step explanation:
Just multiply the two dimensions to get m^2 area
7.2 m * 11 m = 79.2 m^2
Cory has received the following grades this term: 75, 87, 90, 88, 79. Find the mean
Answer:
83.8
Step-by-step explanation:
first you add the grades together: 75 + 87 + 90 + 88 + 79 = 419
then you divide by the amount of grades: 419 / 5 = 83.8
Examine the diagram. Triangle M P L. Angle P is 90 degrees and angle L is (4 x + 6) degrees. The exterior angle to angle M is 136 degrees. What is the value of x?
Answer:
x = \(10^{0}\)
Step-by-step explanation:
From Δ MPL given that; <P = \(90^{0}\), exterior angle to M = \(136^{0}\) and <L = \((4x+6)^{0}\).
In the triangle, the exterior angle is equal to the sum of the two adjacent interior angles. So that;
\(136^{0}\) = \(90^{0}\) + \((4x+6)^{0}\)
= \(90^{0}\) + 4\(x^{0}\) + \(6^{0}\)
\(136^{0}\) = \(96^{0}\) + \(x^{0}\)
⇒ 4\(x^{0}\) = \(136^{0}\) - \(96^{0}\)
4\(x^{0}\) = \(40^{0}\)
Divided both sides by 4 to have;
\(x^{0}\) = \(10^{0}\)
The value of x is \(10^{0}\).
Answer:
The correct answer is in fact 10 degrees.
Step-by-step explanation:
I hope this helps!
Have a great day! :)
What is the answer please helppppp
Answer:
7
Step-by-step explanation:
f(x) = x^2 and g(x)=x^2 +1
find (g/f)(x)
Find the cost to carpet a 15ft. by 18ft. room if the carpet costs $25.95 per square yard.
The cost of the carpet will be $2,335.5.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The dimensions of the carpet are;
⇒ 15 feet by 18 feet
Now,
The area of the carpet = 15 x 18
= 279 feet²
= 270 / 3 yards²
= 90 yards²
Since, The carpet costs = $25.95 per square yard.
Hence, The carpet cost for 90 yards² = 90 x $25.95
= $2,335.5
Thus, The cost of the carpet will be $2,335.5.
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A quadrilateral has two angles that measure 235° and 40°. The other two angles are in a ratio of 5:12. What are the measures of those two angles?
Answer: Let's denote the two unknown angles as x and y.
We know that the sum of the angles in any quadrilateral is 360°, so we can set up an equation using this fact:
235° + 40° + x + y = 360°
Simplifying this equation, we get:
x + y = 85° (equation 1)
We also know that the other two angles are in a ratio of 5:12. This means that:
x/y = 5/12
Multiplying both sides by y, we get:
x = (5/12)y (equation 2)
Now we can substitute equation 2 into equation 1 and solve for y:
(5/12)y + y = 85°
(17/12)y = 85°
y = (12/17) * 85°
y = 60°
Substituting y = 60° into equation 2, we can solve for x:
x = (5/12) * 60°
x = 25°
Therefore, the two angles that are in a ratio of 5:12 measure 25° and 60°, respectively.
Step-by-step explanation:
ANSWEER FAST!:)For the figure shown herea. Rotate segment CD 180 degrees around point D.b. Rotate segment CD 180 degrees around point E.c. Rotate segment CD 180 degrees around point M.
a) Rotate segment CD 180 degrees around point D.
Answer: x
Step-by-step explanation:
x
Each flowerpot costs $7. How many flowerpots can be bought with $285? Explain
Use the following statements to write a compound statement for each conjunction or disjunction. Then find its truth value.
p: 60 seconds = 1 minute
q: Congruent supplementary angles each have a measure of 90.
r: –12 + 11 < –1
answer choices
O Congruent supplementary angles each have a measure of 90 and –12 + 11 < –1; true.
O Congruent supplementary angles each have a measure of 90 and –12 + 11 < –1; false.
O Congruent supplementary angles each have a measure of 90 or –12 + 11 < –1; true.
O Congruent supplementary angles each have a measure of 90 or –12 + 11 < –1; false.
The answer is O Congruent supplementary angles each have a measure of 90 or –12 + 11 < –1; true.
This can be proven by using the following formula:
p: 60 seconds = 1 minute
q: Congruent supplementary angles each have a measure of 90.
r: –12 + 11 < –1
For p, we can use the formula to calculate the number of minutes:
60 seconds * 1 minute = 60 minutes.
Therefore, 60 seconds = 1 minute.
For q, we can use the formula to calculate the measure of each angle:
2x = 90
Therefore, each angle has a measure of 45°.
For r, we can use the formula to calculate the result of the operation:
–12 + 11 = –1
Therefore, –12 + 11 < –1 is true.
In conclusion, the compound statement “Congruent supplementary angles each have a measure of 90 or –12 + 11 < –1” is true.
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