What is the area of a triangle with sides 56 cm, 60 cm and 52 cm?
Step-by-step explanation:
LxW
Answer:
A=1344cm²
Step-by-step explanation:
Enzo drew Triangle K L N. In Enzo's triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times Measure of angle K. The measure of Angle N is 16 degrees less than 8 times Measure of angle K. Which statements must be true about the angle measures of Enzo's triangle? Check all that apply. Measure of angle K = x degrees Measure of angle L = (5 x) degrees Measure of angle N = (16 minus 8 x) degrees Measure of angle K + measure of angle L = measure of angle N Measure of angle K + measure of angle L + measure of angle N = 180 degrees
Answer: (1) Measure of angle K = x degrees
(12) Measure of angle L = (5x) degrees
(3) Measure of angle k + Measure of angle L + Measure of angle N = 180 degrees
Step-by-step explanation: First of all, what we have is a triangle, and one of the properties of a triangle is all three angles add up to 180 degrees. This simply means that the addition of angles K and L and N would be equal to 180 degrees.
The question states that angle K is represented as x degrees, and angle L is 5 times the measure of angle K. Therefore, if K is x degrees, then L is 5 times x, which becomes 5x degrees. Also, angle N is given as 16 degrees less than 8 times the measure of angle K (x degrees). Eight times the measure of angle K is given as 8x. Sixteen degrees less than 8x would now become, 8x - 16 (degrees). Therefore, the angles have been derived as;
Angle K = x degrees
Angle L = 5x degrees
Angle N = 8x - 16 degrees
Having known that one of the properties of any triangle is all angles adding up to 180 degrees, we can now derive the following equation;
x + 5x + 8x - 16 = 180
14 x - 16 = 180
Add 16 to both sides of the equation
14x = 196
Divide both sides of the equation by 14
x = 14
Therefore, angle K = 14 degrees (x), angle L = 70 degrees (5x) and angle N = 96 degrees (8x - 16)
*14 + 70 + 96 = 180*
Answer:
145
Step-by-step explanation:
The highest elevation in a small country occurs on a mountain 1232 meters above sea level, while the lowest elevation in the same country occurs at -27 meters (below sea level). What is the difference in elevation between the highest and lowest points?
Answer: 1259 meters
Step-by-step explanation:
Highest elevation = 1232 meters
Lowest elevation = -27 meters
The difference in elevation between the highest and lowest points will be:
= 1232 - (-27)
= 1232 + 27
= 1259 meters
Note that (-) × (-) = +
What is the range of this data set?
27,5,11,13,10,8,14,18,7
Help! Will mark brainliest! Promisw
Answer:
22
Step-by-step explanation:
Range is the highest value - the lowest value so in this case it's:
27-5 = 22
Write 4% as a
fraction in lowest terms.
Answer:
1/25
Step-by-step explanation:
4 over 100 = 1/25
simplify -2+3(1-4)-2
Answer:
-13
Step-by-step explanation:
−2+3(1−4)−2
=−2+(3)(−3)−2
=−2+−9−2
=−11−2
=−13
hope it helped
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Find the value of x so that f(x) = 13.
f(x) = x - 10
Answer:x is 23
Step-by-step explanation:f(x) = x - 10
13 = x - 10
13 + 10 = x
23 = x
So x is 23
Answer:
The value of x is 23
Step-by-step explanation:
Given:
\(f(x)=x-10\)
Find:
The value of x
Explanation:
\(f(x)=x-10\\f(x)=13\\\\13=x-10\\x=13+10\\x=23\)
Final Answer
Hence, the value of x is 23
Please Help Me Out Show You Work :) I will appreciate much
Step-by-step explanation:
6)
\(k = \frac{6}{4} \\ k = \frac{3}{2} \)
7)
\( \frac{ab}{mn} = \frac{bc}{no} = \frac{cd}{op} = \frac{da}{pm} \)
8)
\(y = 8 ( \frac{3}{2} ) \\ y = 12\)
\(z = 6 ( \frac{3}{2} ) \\ z = 9\)
9)
\(5k = 8 \\ k = \frac{8}{5} \\ x( \frac{8}{5}) = 32 \\ x = 20ft\)
what is the limit of the infinite series? ∑n=1[infinity](5n54n5 5) enter your answer in the box. enter any fraction as a simplified fraction.
The limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.
In this series, each term consists of the expression (5n⁵) divided by (\($4n^{5.5}$\)). We can simplify this expression by canceling out common factors:
\(\(\frac{{5n^5}}{{4n^{5.5}}} = \frac{5}{4} \cdot \frac{{n^5}}{{n^{5.5}}} = \frac{5}{4} \cdot \frac{1}{{n^{0.5}}} = \frac{5}{{4n^{0.5}}}\)\)
Now, let's analyze the behavior of the terms as n approaches infinity. As n increases, the denominator \($n^{0.5}$\) grows larger while the numerator remains constant. Consequently, the value of each term approaches zero.
Since the series consists of an infinite sum of terms approaching zero, the sum of the series also approaches zero as the number of terms increases.
Therefore, the limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.
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Find b for the following right angled triange where a=5 and c=13
Tammy estimated the product of 4.2 and 5.9, then calculated the exact product. Analyze her work and decide if she made an error.
Answer:
C.Tammy’s estimate is right, but the actual product should be 24.78.
Step-by-step explanation:
i took the assessment! thank you for your attention and i hope i helped!!
Answer:
the answer is C which is Tammy’s estimate is right, but the actual product should be 24.78.
Step-by-step explanation:
In ΔFGH, f = 7. 5 inches, h = 7 inches and ∠H=44°. Find all possible values of ∠F, to the nearest 10th of a degree
The possible values of ∠F 131.9°
What is meant by angles?An angle is formed when two straight lines or rays meet at a single terminal.The place where two points converge is known as an angle's vertex.An angle is formed when two straight lines or rays meet at a single terminal.Two rays that have a common endpoint and are referred to as the angle's sides and vertices, respectively, form an angle.In ΔFGH, f = 7.5 inches, h = 7 inches and ∠H = 44°
Law of sines is a/sin A = b/sin B = c/sin C where a, b, c are sides of the triangle and A, B, C are angles of the triangle.
Using Law of sines and applying reciprocal we get sin A/a = sin B/b.
where a = f = 7.5 inches, b = h = 7 inches, ∠A=∠F and ∠B = ∠H.
∠H = 44°.
sin F/7.5 = sin44°/7
Therefore,
sin F = (7.5sin44°)/7
≈ 0.74427
F = sin-1(0.74427) ≈ 0.83944 = 48.1°
Quadrant II: 180° - 48.1° = 131.9°
To check for possibility
44° + 48.1° = 92.1° [This is not possible because 99° is less than 180°]
44° + 131.9° = 175.9° [This is possible because 175.9° is less than 180°]
Hence, the triangle FGH, the all possible values of ∠F is 131.9⁰.
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Which expression to represents the phrase: "6 times a number plus 3."
6 x 3
6 x 3 + n
6n + 3
6n = 3
The expression to represents the phrase: "6 times a number plus 3." is:
6n + 3
Here, "n" represents an unknown number, and "6" and "3" are constants. The expression means that 6 is being multiplied by "n" to get an intermediate result, and then 3 is being added to that result to get the final answer.
For example, if n = 2, then the expression would evaluate to 6 * 2 + 3 = 12 + 3 = 15. So, the expression "6n + 3" represents the mathematical relationship between the unknown number "n" and the final result.
Therefore, the expression "6 times a number plus 3" can be represented as "6n + 3".
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You buy an 8-year $1,000 par value bond today that has a 6% yield and a 6% annual payment coupon. In 1 year promised yields have risen to 7%. Your 1-year holding-period return was
In one-year, the promised yields have risen to 7%, then the 1-year holding-period return was : (a) 0.61%.
The "Par-value" of the bond (face value) is = $1,000;
Coupon rate = 6% (annual payment coupon)
Yield at purchasing time is = 6%
Yield after 1 year = 7%
Step 1: Calculate the present value of the redeemable value:
We know that PVIF at 7% for 7 years is 0.623,
So, Present value of redeemable value = (Par value) × PVIF = $1,000 × 0.623 = $622.75,
Step 2: Calculate the present value of coupon payments:
Coupon payment = (Coupon rate)×(Par value) = 6% × $1,000 = $60,
We know that PVAF at 7% for 7 years is 5.389,
So, Present value of coupon payments = (Coupon payment) × (PVAF) = $60 × 5.389 = $323.36,
Step 3: Calculate the price of bond after 1 year:
Price of bond = Present value of redeemable value + Present value of coupon payments,
Substituting the values,
We get,
Price of bond = $622.75 + $323.36 = $946.11
Step 4: Calculate the 1-year holding-period return:
Holding return = (Price in next year + Coupon interest - Price in current year) / Price in current year,
Holding return = ($946.11 + $60 - $1,000) / $1,000
Holding return = $6.11 / $1,000
Holding return = 0.00611 = 0.61%.
Therefore, the correct option is (a).
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The given question is incomplete, the complete question is
You buy an 8-year $1,000 par value bond today that has a 6% yield and a 6% annual payment coupon. In 1 year promised yields have risen to 7%. Your 1-year holding-period return was
(a) 0.61%
(b) -5.39%
(c) 1.28%
(d) -3.25%
r= x+1 what is the area of the circle
Answer:
Step-by-step explanation:
area is \(R^{2} \pi =(x+1)^{2}\pi =(x^{2} +2x+1)\pi\)
If 4 hours are required to type 16 pages, how many hours would be required to type 28 pages?
ANSWER
112
EXPLAINATION
28÷16 = 7
7×16 = answers
Juan manages a restaurant which is currently hiring. On Tuesday he interviewed 3 waiters, 2 chefs, and 4 dishwashers. On Wednesday he interviewed 4 waiters, 4 chefs, and 4 dishwashers. Each day one woman applied for a job while the rest were men. What is the probability that the woman shared the same profession?
Probability helps us to know the chances of an event occurring. The probability that the woman shared the same profession is 0.334.
What is Probability?Probability helps us to know the chances of an event occurring.
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
The probability of both being a waiter is,
P(Both Waiter) = (3/9)×(4/12) = 1/9
The probability of both being chefs,
P(Both Chef) = (2/9)×(4/12) = 2/27
The probability of both being a Dishwashers,
P(Both Dishwasher) = (4/9)×(4/12) = 4/27
Thus, the probability that the woman shared the same profession is,
Probability = P(Both Waiter) + P(Both Chef) + P(Both Dishwasher) = 0.33
Hence, the probability that the woman shared the same profession is 0.334.
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To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.
It is TRUE that If you want to calculate the total magnification, take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.
If you want to get the total magnification of a microscope, you need to multiply the magnification of the objective lens by the magnification of the eyepiece lens. The objective lens typically has a magnification of 4X, 10X, or 40X, and the eyepiece lens usually has a magnification of 10X. So, for example, if you are using a 10X objective lens and a 10X eyepiece lens, the total magnification would be 10 × 10 = 100X.
On the other hand, these numbers may be the total magnification for a lower powered stereomicroscope. 10X and 40X are achievable with 10X eyepieces and 1X or 4X objective lenses. Or it can be a zoom stereomicroscope with zoom set to 1X and 4X and 10X eyepieces. To get a total of 4X, you can use the 0.8X zoom setting (which is common) plus the 5X eyepiece. Or you can use the 0.5x auxiliary lens, 0.8x zoom and 10x eyepieces.
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Complete Question:
True, or False
To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.
The number of weeds in my yard doubles every 3 weeks. If I initially have 80 weeds in my yard, what unit is most appropriate for the time at which the number of weeds is 120? (circle one) How do you know?
Week, Month, Weeds per week, Weeds per month
The unit that is most appropriate for the time at which the number of weeks is 120 is given as follows:
Week.
How to define an exponential function?The general format for an exponential function is given as follows:
\(y = a(b)^{\frac{x}{n}}\)
The parameters for the exponential function are defined as follows:
a is the initial value of the exponential function.b is the rate of change of the exponential function.n is the time that the exponential function for the rate of change.The number of weeds in my yard doubles every 3 weeks, and the initial number of weeks is of 80, hence the values of the parameters are given as follows:
a = 80, b = 2, n = 3.
As n = 3, we have that the unit of the output variable is of weeks, hence weeks is the appropriate measure in this problem.
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Help pleaseeeeeeeeeeee
Answer:
C. 72
Step-by-step explanation:
your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm
so we know cos = adjacent/ hypotenuse
so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)
after typing into calculator you should get about 72
Answer:
C
Step-by-step explanation:
cos(0)= Adjacent/Hypotenuse
cos(0)= n/p
cos(0)=2.4/7.8
cos(0)=4/13
(0)=cos‐¹(4/13)
(0)=72.07978686
(0)=72°
angle (0)= 72°
carl bought a circular cake and ate 1/5 of it on monday and 0.25 on Tuesday what percent of the cake has carl not eaten yet
0.45 or %45 is left of the circular cake.
Hope this helps; have a great day!
Which is 3 groups of 5
Answer:
Specifically, if we want to think of multiplication as repeated addition, exponentiation as repeated multiplication, and ↑↑ as repeated exponentiation, three groups of five is the way to go. 53 means 5×5×5, not 3×3×3×3×3.
Step-by-step explanation:
Sam made $147 for 7 hours of work at the same rate how much would he make for 9 hours of work
Felipe bought 4 CDs that were each the same price. Including sales tax, he paid a total of $54.80. Each CD had a tax of $1.10. What was the price of each CD before tax?
Answer:
13.7. with tax it is 14.8
A tank contains 50 kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 10 L/min. The solution is mixed and drains from the tank at the same rate.
(a) The initial concentration of the solution in the tank is 0.05 kg/L. (b) After 2.5 hours, the amount of salt in the tank remains unchanged at 50 kg. (c) As time approaches infinity, the concentration of salt in the solution remains constant at 0.05 kg/L.
(a) The initial concentration of the solution in the tank can be calculated by dividing the total amount of salt initially present by the total volume of the solution initially.
Total amount of salt initially = 50 kg
Total volume of the solution initially = 1000 L
Concentration of the solution initially = (Total amount of salt initially) / (Total volume of the solution initially)
Concentration of the solution initially = 50 kg / 1000 L = 0.05 kg/L
Therefore, the concentration of the solution in the tank initially is 0.05 kg/L.
(b) Find the amount of salt in the tank after 2.5 hours.
In this case, we need to consider the amount of salt entering and leaving the tank over time.
Amount of salt entering the tank per minute = concentration of the incoming solution × rate of incoming solution
Amount of salt entering the tank per minute = 0.025 kg/L × 10 L/min = 0.25 kg/min
Amount of salt leaving the tank per minute = concentration of the solution in the tank × rate of outgoing solution
Amount of salt leaving the tank per minute = (amount of salt in the tank) / (total volume of the solution in the tank) × 10 L/min
Since the incoming and outgoing rates are equal (10 L/min), the amount of salt in the tank after a certain time remains constant. Let's calculate the amount of salt in the tank after 2.5 hours (150 minutes).
Amount of salt entering the tank in 150 minutes = 0.25 kg/min × 150 min = 37.5 kg
The amount of salt in the tank after 2.5 hours remains the same as the initial amount, as there is no net change in the salt content.
Therefore, the amount of salt in the tank after 2.5 hours is 50 kg.
(c) Find the concentration of salt in the solution in the tank as time approaches infinity.
As time approaches infinity, the concentration of salt in the solution in the tank will be determined by the ratio of the total amount of salt in the tank to the total volume of the solution in the tank.
Total amount of salt in the tank = 50 kg
Total volume of the solution in the tank = 1000 L
Concentration of salt in the solution as time approaches infinity = (Total amount of salt in the tank) / (Total volume of the solution in the tank)
Concentration of salt in the solution as time approaches infinity = 50 kg / 1000 L = 0.05 kg/L
Therefore, as time approaches infinity, the concentration of salt in the solution in the tank will be 0.05 kg/L, the same as the initial concentration.
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Complete question:
A tank contains 50 kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 10 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? (b) Find the amount of salt in the tank after 2.5 hours. (c) Find the concentration of salt in the solution in the tank as time approaches infinity.
The city has created a new contest to raise funds for a big Fourth of July fireworks celebration. People buy tickets and scratch off a special section on the ticket to reveal whether they have won a prize. One out of every five people who play get a free entry in a raffle. Two out of every fifteen people who play, win a small cash prize
a) It is like winning a free entry ticket raffle.
b) The probability that you will win something (either a free raffle entry or a cash prize - \(\frac{1}{3}\) .
c) The probability that you win nothing at all is - \(\frac{2}{3}\)
a) One of every five people plays and gets a free entry in a raffle.
P(Free entry)= \(\frac{1}{5}\)
Two of every fifteen people play and win a small cash prize.
P( Small prize)= \(\frac{2}{15}\)
P(Free entry) = \(\frac{1}{5}\)
= \(\frac{1 . 3}{5 . 3}\) = \(\frac{3}{15}\)
\(\frac{3}{15}\) > \(\frac{2}{15}\)
P(Free entry) > P( Small prize)
b) P(Win something) =P(Free entry) + P(Small prize)
= \(\frac{1}{5} + \frac{2}{15}\)
= \(\frac{3}{15} + \frac{2}{15}\) ( use addition)
= \(\frac{3 + 2}{15}\)
= \(\frac{5}{15}\) = \(\frac{1}{3}\)
c) P(Win nothing) + P(Win something) = 1
P(Win nothing) = 1 - P(Win something)
P(Win nothing) = 1 - \(\frac{1}{3}\) (use subtraction)
P(Win nothing) = \(\frac{3}{3} - \frac{1}{3}\)
P(Win nothing) = \(\frac{2}{3}\)
So,
a) It is like winning a free entry ticket raffle.
b) The probability that you will win something (either a free raffle entry or a cash prize - \(\frac{1}{3}\) .
c) The probability that wins nothing at all is - \(\frac{2}{3}\)
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The complete question is :
The city has created a new contest to raise funds for a big Fourth of July fireworks celebration. People buy tickets and scratch off a special section on the ticket to reveal whether they have won a prize. One out of every five people who play gets a free entry in a raffle. Two out of every fifteen people who play win a small cash prize. a. If you buy a scratch-off ticket, is it more likely that you will win a free raffle ticket or a cash prize? Explain your answer. b. What is the probability that you will win something (either a free raffle entry or a cash prize)? c. What is the probability that you will win nothing at all? To justify your thinking, write an expression to find the complement of winning something.
what is the electron domain charge cloud geometry of brf5
The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).
\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.
In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.
Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
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use green's theorem to find the counterclockwise circulation and outward flux for the field f=(7x−4y)i (9y−4x)j and curve c: the square bounded by x=0, x=4, y=0, y=4.
The counterclockwise circulation around c is 12 and the outward flux through c is zero.
Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.
In this case,
we have a field f=(7x−4y)i+(9y−4x)j and
a square curve c bounded by x=0, x=4, y=0, y=4.
To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.
The curl of f is given by (0,0,3), so the line integral evaluates to 12.
To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.
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increasing the threshold does not change the values in the confusion matrix of a model for a given dataset.
The statement "increasing the threshold does not change the values in the confusion matrix of a model for a given dataset" is incorrect.
Increasing the threshold can indeed lead to changes in the values of the confusion matrix. Increasing the threshold does not necessarily change the values in the confusion matrix of a model for a given dataset. However, it can affect how the predictions are classified and thus impact the composition of the confusion matrix.
The confusion matrix is a table that summarizes the performance of a classification model by showing the counts of true positive, true negative, false positive, and false negative predictions. It is typically based on a fixed threshold for determining the predicted class labels. When the threshold is increased, it may lead to a shift in the classification of instances.
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Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall. 6. 5 ft 6. 5 StartRoot 2 EndRoot ft 13 ft 13 StartRoot 2 EndRoot ft.