Answer: X=45
Step-by-step explanation:
What is the measure of angle B?
Triangle A B C. Angle A is 50 degrees and angle C is 28 degrees.
78°
92°
102°
282°
Answer is 103
- took the test on edge!
- Have a good day :)
ILL GIVE 20 POINTS !!!! PLSS HELP ASAP
Answer: 10/40 or 1/4
Step-by-step explanation:
Add up all the amount of rolls, so 10+6+4+8+6+6=40
then add the probability of rolling a 3 or 6 = 10
divide that quantity out of the whole
answer is 10/40 and simplified is 1/4
hope it helps
What is the surface area of the triangular prism?
The surface area of the triangular prism is 608 cm².
What is surface area and volume? Surface area and volume are two measurements of three-dimensional objects. Surface area is the total area of the object’s exposed sides, while volume is the amount of space that the object occupies. Surface area is typically measured in square units, such as inches or centimeters, while volume is measured in cubic units, such as cubic inches or cubic centimeters.The primary difference between surface area and volume is that surface area measures the area of the exposed surfaces of an object, while volume measures the amount of space within the object. Volume is the total amount of space inside the object, while surface area is the total area of the exposed faces of the object. For example, a cube has six faces, and each of those faces has an area. The total of all six faces is the surface area of the cube, while the volume is the amount of internal space inside the cube.Given,
base of triangle = 12 cm
height of triangle = 8 cm
length of triangle = 10 + 10 + 12 = 32 cm
Width of the triangle = 16 cm
Area of the rectangle = l x b = 32 x 16 = 512 cm²
Area of triangle = 1/2 x 12 x 8 = 48 cm²
There are 2 triangle, so 48 + 48 = 96 cm²
Add all these values, 512 + 96 = 608 cm²
∴The surface area of triangular prism = 608 cm²
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The sum of the surfaces of the five faces of a triangular prism is its surface area.
Explain about the triangular prism?Having two triangular bases and three rectangular sides, a triangular prism is a type of polyhedron. It is a three-dimensional object with two base faces and three side faces that are joined by edges.
There are 6 vertices, 5 edges, and 5 faces on it. The other 3 faces have a rectangle-like shape, while the 2 bases are structured like a triangle. Camping tents, chocolate candies, roofs, etc. are a few instances of triangular prisms in the real world.
A solid object called a prism has plane faces enclosing each of its four sides. Faces in a prism come in two different varieties. Bases are used to describe the top and bottom faces, which are identical.
12 cm is the triangle's base.
triangle's height is 8 cm.
Triangle's length is 32 cm (10 + 10 + 10 cm).
Triangle width is 16 cm.
The rectangle's area is 512 cm2 (l x b = 32 x 16).
Triangle area equals 1/2 x 12 x 8 = 48 cm2.
Two triangles are present, therefore 48 + 48 = 96 cm2.
512 + 96 = 608 cm2 after adding all these values.
The triangular prism's surface area is 608 cm2.
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Find the 8th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.
Answer: 5/2187
Step-by-step explanation: The equation for geometric sequence is (a (subroot) n = a (subroot) 1) x ratio^(n-1).
a (sub) n = a (sub) 8a (sub) 1 = 5ratio = 1/3(n-1) = 7Find the ratio of the perimeter of the
larger rectangle to the perimeter of the
smaller rectangle.
5 A
3 ft
9 Aft
11 ft
The ratio of the perimeter of the smaller to larger rectangle is 3:4
The dimension of the smaller rectangle = 3 by 9
The dimension of the larger rectangle = 5 by 11
Perimeter of a rectangleThe perimeter of a rectangle is given by the relation :
Perimeter = 2(Length + width)
Perimeter of smaller rectangle = 2(3+9) = 24 ft²
Perimeter of larger rectangle = 2(5+11) = 32 ft²
Ratio of smaller to larger rectangle
Smaller perimeter : larger perimeter
24 : 32
Reduce to simplest form
3 : 4
Hence, ratio of smaller to larger rectangle is 3:4
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Which ones right ????
zack borrowed some money from his parents to buy a cell phone his purchase and plan to repay his parents, is shown on the graph below. determine the intercepts and explain what each intercept means
Answer:
where is the graph?
Step-by-step explanation:
how do you expect people to answer your question if the entire question is based on the graph
On average, 24% of customers who buy shoes in a particular store buy two or more pairs. One weekend, 350 customers purchased shoes. How many can be predicted to buy two or more pairs? If 107 customers buy more than two pairs, did more customers than normal buy two or more pairs?
It is predicted that__________
customers bought two or more pairs out of 350 customers. There were customers than normal who bought two or ___ pairs.
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
Five less than six times a number is less than or equal to twenty-five.
Answer:
X is less than or equal to five.
Step-by-step explanation:
Add five on each side and divide by 2!
Jewel completed 12 out of 20 of her homework questions last night. What percent did she complete?
Answer:
60%
Step-by-step explanation:
12/20 = 3/5 = 0.6 = 60%
Hey there! To find out how much of her homework Jewel completed, all we need to do is a little math. First, let's divide the number of questions she did by the total number of questions. That's 12 divided by 20 which equals 0.6.
Now, we just need to turn that decimal into a percentage. To do that, we simply multiply 0.6 by 100, which gives us 60. And voila! Jewel completed 60% of her homework.
question is pictured below, need to learn steps to solve this and I dont have my book with me
However, I can still give you some general steps to solve a math problem in 200 words.
Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.
Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.
Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.
Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.
Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.
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Asia bought a 3- pound bag of food for her pet rabbit. The rabbit’s food bowl holds pound of food. The rabbit eats pound of food per day. How many times can Asia fill the food bowl from the bag of food?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?
Answer:
3 times
Step-by-step explanation:
The bag is three pounds
The bowl hold 1 pound and her rabbit rats 1 pound
Therefore you can fill it 3 times per bag :))
(3/1=3)
Answer:
Asia can fill the bowl 3 times and it would feed her rabbit 3 days.
which is irrational?
A. 5/2
B. 5.22
C. 2/5
D. √5/2
Answer:
D
Step-by-step explanation:
Plz mark as brainliest!!!
160 O SHO) A person bought 6,852 Japanese you from Nepal Rastra Bank for Rs 6,320. find exchange rote between japanese yen and Nepali rupess.
The exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
The exchange rate between Japanese Yen and Nepali Rupees is
1 JPY = 0.7184 NPR
Therefore, the exchange rate is 6,852 JPY = 6,320 NPR
Therefore, the exchange rate between Japanese Yen and Nepali Rupees is 0.7184 NPR per 1 JPY.
The exchange rate between Japanese Yen and Nepali Rupees is given by the following formula:
Exchange Rate = (Total Amount in Nepali Rupees/Total Number of Japanese Yen)
Exchange Rate = (Rs 6320/6852 Yens) = Rs 0.92 per Yen.
Therefore, the exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
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What do you know to be true about the values of a and b?
Answer:
they are both acute angles or less than 90 degress
Step-by-step explanation:
Answer:
Can't be determind
Step-by-step explanation:
A man makes $52 in 3 hours. How much money does he make in 10.5 hours.
Answer:$182
Step-by-step explanation:
52/3 = 17.3333333333
so 17.3333333333 * 10.5 = 182
According to a survey conducted by the Association for Dressings and Sauces, 80% of American adults eat
salad once a week. A nutritionist suspects that this percentage is not accurate. She conducts a survey of
445 American adults and finds that 374 of them eat salad once a week. Use a 0.005 significance level to
test the claim that the proportion of American adults who eat salad once a week is equal to 80%.
Claim: Select an answer which corresponds to [Select an answer
Opposite: Select an answer which corresponds to [Select an answer
The test is: Select an answers
The test statistic is: z-
(to 2 decimals)
The Critical Value is: z-
Based on this we: [Select an answer
Conclusion: There Select an answer appear to be enough evidence to support the claim that the
proportion of American adults who eat salad once a week is equal to 80%.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
How to solveTo test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.
Claim: p = 0.80
Opposite: p ≠ 0.80
The test is a two-tailed z-test.
Sample proportion (p) = 374/445 = 0.8404
Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)
z = 2.53 (rounded to 2 decimals)
Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.
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Let the function P be defined by P(x) = x³ + 2x² - 13x + 10. Mai divides P(x) by
x + 5 and gets:
x²-3x+2
x+5) x³ + 2x² - 13x + 10
−x3 – 5x2
-3x² - 13x
3x² + 15x
2x + 10
-2x - 10
0
How could we tell by looking at the
remainder that (x + 5) is a factor?
The roots of the equation are x1=1,x2=-5, and x3= 2.
What is the equation of root?Equation with quadratic roots. The quadratic equation's roots are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is the quadratic equation's root, f(x). Real roots of an equation f(x) = 0 are the x-coordinates of the places where the curve y = f(x) intersects the x-axis.
The equation x3+2x2-13x+10 has roots that you need to find.
x^3 + 2x^2 -13 x+10=0
In order to determine whether x=1 is a root for the equation, let's first start by substituting it:
1+2 -13 +10 =0
When one of the roots is x=1, a factor is (x-1)
We'll divide the function by the second component to determine it (x-1)
==> x^3 +2x^2-13x +10 =0
==> (x-1)(x^2+3x-10)=0
Consider factoring now:
==> (x-1)(x+5)(x-2)=0
==> x1=1,
x2=-5,
The roots of the equation are and x3= 2.
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Prove:is tangent to circle C.
The tangent at any point of a circle is perpendicular to the radius through the point of contact by showing that line PQ coincides with the radius OP.
Let us assume that we have a circle with center O and radius r.
Let P be any point on the circle .
And let Q be the point of intersection of the tangent to the circle at P and the radius OP,
To prove that PQ is perpendicular to OP.
First, we observe that OP is a radius of the circle and therefore its length is r.
Since PQ is tangent to the circle at point P,
It is perpendicular to the radius drawn from the center of the circle to point P.
As the tangent to a circle is perpendicular to the radius drawn to the point of contact.
This implies, angle QOP is a right angle.
Next, triangle OPQ is a right triangle with right angle at Q.
By the Pythagorean Theorem, we have,
OP²= OQ² + PQ²
Substituting r for OP and noting that OQ = r since Q is on the radius. we have,
⇒ r² = r²+ PQ²
Subtracting r² from both sides, we get,
⇒ PQ² = 0
This implies that PQ = 0,
In other words, that point Q coincides with point P.
PQ is a line that coincides with the radius OP.
And since angle QOP is a right angle, we can conclude that PQ is perpendicular to OP.
Therefore, it is proved that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
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The above question is incomplete, the complete question is:
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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The slope that passes through the point (-2,-4) and (-3,-8) is
Answer:
\(y=4x+b\) (four being the slope)
Step-by-step explanation:
So lets use
ΔY/ΔX
or the y2-y1 over x2-x1
\(\frac{-8+4}{-3+2}\)
\(\frac{-4}{-1}\)
Therefore, the slope is 4
Answer:
(-2,-4)
x= -2 and y= -4
(-3,-8)
x= -3 and y= -8
What is the solution to the equation below?
x+4=√8-x
A. x=0
B. x=-1
C. x=-7
D. x=4
Answer:
Step-by-step explanation:
\(x+4=\sqrt{8-x} \\squaring\\x^{2} +8x+16=8-x\\x^{2} +8x+x+16-8=0\\x^{2} +9x+8=0\\x^{2} +x+8x+x=0\\x(x+1)+8(x+1)=0\\(x+1)(x+8)=0\\either \\x+1=0,\\x=-1\\or\\x+8=0\\x=-8\\x=-8 ~is~ an~ extraneous~ solution \\as~-8+4=\sqrt{8+8} \\-4=\sqrt{16} \\-4=4\\\)
it does not satisfy the given equation.
Hence rejected.
so solution is x=-1
A gardener has 640 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing.
What dimensions would guarantee that the garden has the greatest possible area?
9514 1404 393
Answer:
160 ft (out from the river)320 ft (parallel to the river)Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...
A = x(640-x)/2
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.
The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.
Mrs. Grubbs has the option of eating a cookie with the diameter of 14 cm or 4 smaller cookies with a diameter of 5
cm. Which option would give Mrs. Grubbs more cookie to eat?
Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.
To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.
The area of a cookie with diameter 14 cm can be calculated as follows:
A = πr^2 = π(7 cm)^2 = 49π cm^2
where r is the radius of the cookie.
On the other hand, the area of a single small cookie can be calculated as follows:
A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)
where r is the radius of the small cookie.
Therefore, the total area of 4 small cookies is:
A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)
Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:
A2 > A
\(25π cm^2 > 49π cm^2\)
It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.
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What is the slope of the line that passes through the points (2,-11) and (8,-53)?
Answer:
- 7
Step-by-step explanation:
Line is passing through the points (2,-11) and (8,-53)
Slope of the line = [-53 - (-11)]/(8 - 2)
= (-53+11)/6
= -42/6
= -7
Bobby posts an online video and sends it to three of his friends on a social media platform. After one minute passes, each of those friends shares the video with two of their friends. The process continues for a few minutes. Write a recursive process that represents the number of people who have received the video in n minutes
Answer:
\(f(n) = f(n- 1) * 2\); \(f(1) = 3\)
Step-by-step explanation:
Given
\(1\ minute = 3\ friends\)
Every other minute
\(Each\ friend = 2\ other\ friends\)
Required
Determine the recursive function
Let the number of minutes be represented with n.
The initial condition can be represented as:
\(n = 1\)
\(f(1) = 3\) --- i.e. 3 friends initially at the first minute
At every other minutes:
\(n \ge 2\) i.e 2 minutes upwards
This means that n follows the following sequence
\(n \to n, n -1, n -2,n -3, n - 4,.....,4,3,2\)
Note that the difference between each term is 1.
This means that recursive function has to be defined backwards i.e.
\(f(n) = f(n- 1) * k\)
Where k = 2
i.e. The number of friends that received the video from each friend
So, we have:
\(f(n) = f(n- 1) * 2\)
Hence, the recursive function is:
\(f(n) = f(n- 1) * 2\); \(f(1) = 3\)
PLEASE HELP ME, ILL GIVE YOU BRAINLIEST
Answer:
3/2^3=3/8 and (-1/4)^2 = 1/16
Step-by-step explanation:
1. You know what 2^3 is, right? That's 2*2*2. 2*2 is 4, and then 4*2 is 8. So that is 3/8.
2. (-1/4)^2 is (-1/4)*(-1/4), right? So that is (-1*-1)/(4*4). Two negatives make a positive, so -1*-1=1. 4*4 is 16, so we have 1/16.
Bodytemperatures ofhealthy koalasarenormally distributed with a mean of 35.6°C and a standard deviation of 1.3°C. a.What is the probability that a health koalahas a body temperature lessthan 35.0°C? (1pt)b.Veterinarians at a nature preserve in Australiathought a population of koalas might be infected with a virus, so they chose a random sample of n=30koalas and measured their body temperatures. If they got a sample mean body temperature less than 35.0°C, do you think that this population of koalas is healthy? Why/why not?Be specific.(4pt)c.List a potential confounding variable for this study and briefly how it might have impactedthe results. (2pt)2.
Answer:
a
\(P(X < 35) = 32.3 \%\)
b
\(P(\= X < 35) = 0.6 \%\)
Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy
c
A potential confounding variable for this study is the population of the koalas because in the first question the population was not taken into account and the probability was \(P(X < 35) = 32.3 \%\) but when the population was taken into account (i.e n = 30) the probability became
\(P(\= X < 35) = 0.6 \%\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 35.6^oC\)
The standard deviation is \(s = 1.3^oC\)
The sample size is n = 30
Generally the probability that a health koala has a body temperature less than 35.0°C is mathematically represented as
\(P(X < 35) = P(\frac{X - \mu }{s} < \frac{35 - 35.6}{1.3} )\)
Here \((\frac{X - \mu }{s} = Z (The \ standardized \ value \ of \ X )\)
So
\(P(X < 35) = P(Z < -0.46)\)
From the z-table P(Z < -0.46) = 0.323
So
\(P(X < 35) = 0.323 \)
Converting to percentage
\(P(X < 35) = 0.323 * 100 \)
\(P(X < 35) = 32.3 \%\)
considering question b
The sample mean is \(\= x = 35\)
Generally the standard error of the mean is mathematically represented as
\(\sigma_{\= x} = \frac{s}{\sqrt{n} }\)
=> \(\sigma_{\= x} = \frac{1.3}{\sqrt{30} }\)
=> \(\sigma_{\= x} = 0.2373 \)
Generally the probability of the mean body temperature of koalas being less than 35.0°C is mathematically represented as
\(P(\= X < 35) = P(\frac{\= X - \mu }{\sigma_{\= x }} < \frac{35 -35.6}{0.2373 } )\)
\(P(\= X < 35) = P(Z< -2.53 )\)
From the z-table we have that
\(P(Z< -2.53 ) = 0.006\)
So
\(P(\= X < 35) = 0.006 /tex]
Converting to percentage
\(P(\= X < 35) = 0.006 * 100 \)
\(P(\= X < 35) = 0.6 \%\)
Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy
A potential confounding variable for this study is the population of the koalas because in the first question the population was not taken into account and the probability was \(P(X < 35) = 32.3 \%\) but when the population was taken into account (i.e n = 30) the probability became
\(P(\= X < 35) = 0.6 \%\)
I need help finding the domain and range, I already know is not a function
Answer:
Domain: [-4, 4]
Range: [-3, 5]
Function? No
Step-by-step explanation:
Domain is all x-values that can be inputted in the graph that returns an output.
Range is all y-values that are outputted when x is inputted.
A function has to pass the Vertical Line Test.