Answers
Answer:
61°
Step-by-step explanation:
You want the angle XCA in the figure, given that angle XBA is 70°, and ABCD is a rectangle with AB=5.6m and BC=6.4m. Angles at A are right angles.
DiagonalThe length of diagonal AC is found using the Pythagorean theorem.
AC² = AB² +BC²
AC = √(5.6² +6.4²) = 0.8√113 ≈ 8.504 . . . . meters
HeightThe length XA is found using the tangent function:
Tan = Opposite/Adjacent
tan(B) = XA/AB
XA = AB·tan(B) = 5.6·tan(70°) . . . . meters
AngleThe angle XCA is found from the tangent relation:
tan(XCA) = XA/AC
tan(XCA) = 5.6·tan(70°)/(0.8√113) = 7·tan(70°)/√113
angle XCA = arctan(7·tan(70°)/√113) ≈ 61.07°
The angle XC makes with the horizontal is about 61°.
Related Questions
What decimal number is halfway between 16 and 17?
Answers
Answer:
16.5?
Step-by-step explanation:
It's halfway between 16 and 17?
NO LINKS OR FILES THINGS LIKE THAT!!!!!!
DUE TODAY!!!!!!
Write format:
(Quarters,Dimes)
No spaces
Example:
5 quarters, and 2 dimes should be written as (5,2)
Answers
Answer:
(4,8)
Step-by-step explanation:
One of the marked points on the black line is (4,8).
__
You will notice that the only combination worth $3.00 is (12,0).
Question 7(Multiple Choice Worth 1 points)
(07.02 MC)
Jason has two bags with 6 tiles each. The files in each bag are shown below
1
2
3
4
5
6
Without looking, Jason draws a file from the first bag and then a file from the second bag What is the probability of Jason drawing the file numbered 5 from the first bag and an odd file from the second bag?
0
영
o
Answers
Answer:a.3/6
Step-by-step explanation:
Because there’s a total of 12 files in each bag which is 6 in each
Analyzing Wages-Plus-Commission Pay
Maybelle works in the shoe department for a high-end
store. She earns $15 per hour for at least 40 hours per
week. On top of that, she earns 10% commission for each
pair of shoes she sells. She is expected to sell $2,500
worth of shoes every week.
What will Maybelle earn in wages in a typical week?
How much commission will Maybelle earn if she sells
$3,000 of shoes in one week?
v
The next week, customers return $1,000 worth of
shoes. How much money will be deducted from
Maybelle's paycheck?
With an economic downturn, sales slump. As a result,
Maybelle will likely
Answers
a)In a typical week, Maybelle will earn a total of: $600 + $250 = $850
b) Her total earnings for the week would be: $600 + $300 = $900
c) Her paycheck will be reduced by $100.
d) Her wage earnings should remain the same assuming she still works at least 40 hours per week.
To calculate Maybelle's earnings in a typical week, we first need to determine the minimum number of hours she works. Since she earns $15 per hour for at least 40 hours per week, her minimum wage earnings are:
$15 x 40 = $600
In addition to her wage earnings, Maybelle earns a commission of 10% for each pair of shoes she sells. Since she is expected to sell $2,500 worth of shoes every week, her commission earnings are:
$2,500 x 0.10 = $250
b) If Maybelle sells $3,000 worth of shoes in one week, her commission earnings would be:
$3,000 x 0.10 = $300
On top of her wage earnings of $600 (based on working at least 40 hours at $15 per hour)
c) If customers return $1,000 worth of shoes the next week, Maybelle's commission earnings will not be affected. However, her wage earnings will be reduced by the amount of the returned shoes, which is $1,000 x 0.10 = $100.
d) With an economic downturn and sales slump, Maybelle's earnings from commission will likely decrease since she will sell fewer shoes. However, her total earnings will likely decrease due to the decrease in commission earnings.
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-3g = 9 what does g =
Answers
Answer:
g=-3
Step-by-step explanation:
-3g=9
divide through by-3
g=9/-3
g=-3
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3g=9 Equation/Question
Step 2
-3g=9 Simplify
-3g=9
Step 3
-3g =9 Divide by 3
answer
-3
Hope this helps
What classification of quadrilateral is show? Explain
Answers
PLEASE!!!! In the linear equation shown, which variable would represent the output (range) values?
y = mx + b
B
X
M
y
Answers
The variable y represents the range or output values of the function.
What is the Range of a function?The range of a function is the set of output values of the function.
The given equation is y = mx + b.
Note that x is an independent variable, therefore, we substitute the values for x and calculate the value of y to that value of x.
Therefore, y denotes the range or output values of the function.
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what is midpoint mean
Answers
Answer:
The middle of a line segment
Step-by-step explanation:
Which is the solution of 3(t+1) ≤ 6t - 13.5?
A t≤-5.5
B t≥-5.5
C t≤ 5.5
D t≥ 5.5
Answers
Answer:
Step-by-step explanation:
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In AUVW, u = 55 inches, w = 43 inches and angle W=134^ . Find all possible values of angle U , to the nearest degree .
Answers
I like marshmallows and weird fives eat food
You are going off roading in a 4x4 Jeep Wrangler in Colorado.You quickly drive up the side of a small mountian at a steep angle of elevation of 32.8Your vertical rise is 800ftHow far did you travel when you finally reach the top of the mountainRound to the nearest tenth
Answers
The given information is:
- The steep angle of elevation is 32.8
- The vertical rise is 800 ft.
A diagram of the situation is:
If we look at the diagram, we can see a triangle, and we need to know the hypotenuse. As we know the angle and the opposite side, we can use the trigonometric function sine, which is given by the following formula:
\(\sin \theta=\frac{opposite}{hypotenuse}\)If we replace the know values, we can solve for hypotenuse as follows:
\(\begin{gathered} \sin 32.8\degree=\frac{880ft}{x} \\ x=\frac{880ft}{\sin 32.8\degree} \\ x=\frac{880ft}{0.54} \\ x=1624.5\text{ ft} \end{gathered}\)Then, you traveled 1624.5 ft when you finally reach the top of the mountain.
In a statistics class, there are 22 juniors and 18 seniors. Of the juiors, 12 are females. Of the seniors, 11 are males. What is the probability that a randomly selected studemt from the class is a male or a junior?
Answers
Answer:
a) 0.857
b) 0.571
c) 1
Step-by-step explanation:
Based on the data given, we have
18 juniors
10 seniors
6 female seniors
10-6 = 4 male seniors
12 junior males
18-12 = 6 junior female
6+6 = 12 female
4+12 = 16 male
A total of 28 students
The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have
P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857
P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571
P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1
Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.
The probability that a randomly selected student from the class is a male or a junior = 33/40 or 0.825
What is the probability of an event?The probability of an event is a fractional value representing the chance of the event taking place. The probability of event A can be determined by the ratio of the number of outcomes favorable to event A, to the total number of outcomes.
How do we solve the given question?We are informed that in a statistics class, there are 22 juniors and 18 seniors. Of the juniors, 12 are females. Of the seniors, 11 are males.
We are asked to find the probability that a randomly selected student from the class is a male or a junior.
To find the probability, we first need to find the number of juniors or males in the class.
The number of juniors = 22.
The number of males = (22-12) + 11 = 10 + 11 = 21 {Taking (22 - 12) as there are 12 females among the 22 juniors}
Now, we have counted male juniors in both cases.
The number of male juniors = 22 - 12 = 10.
∴ Total number of favorable outcomes = The number of juniors + The number of males - The number of male juniors = 22 + 21 - 10 = 33.
Total number of outcomes = Total students = 22 + 18 = 40
∴ The probability that a randomly selected student from the class is a male or a junior = Total number of favorable outcomes/Total number of outcomes = 33/40 or 0.825
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Maya used a recipe in which 2 tablespoons of vinegar were mixed with 3 tablespoons of olive oil. Which statement about the amount of vinegar mixed with olive oil is true?
2 over 3 tablespoon of vinegar is mixed with every tablespoon of olive oil because the ratio of vinegar to olive oil is 2:3.
2 over 3 tablespoons of vinegar is mixed with every 5 tablespoons of olive oil because the ratio of vinegar to olive oil is 2:5.
2 over 5 tablespoons of vinegar is mixed with every 5 tablespoons of olive oil because the ratio of vinegar to olive oil is 2:5.
2 over 5 tablespoon of vinegar is mixed with every tablespoon of olive oil because the ratio of vinegar to olive oil is 2:3.
Answers
Answer:
Step-by-step explanation: becuase if the ratio is 2:3 then the ratio reduced to 1 would be 2/3:1
Answer:
(First Option): 2 over 3 tablespoon of vinegar is mixed with every tablespoon of olive oil
Step-by-step explanation
For every 2 tablespoons of vinegar, it was mixed with 3 tablespoons of olive oil. This leads to a ratio of 2:3, and that rules out option 2 and 3. To get the unit rate we divide 2 tablespoons of vinegar by 3 tablespoons of olive oil. This means that there is 2/3 tablespoons of vinegar for every tablespoon of olive oil and leads it to be answer choice 1.
HELP ME PLEASE!!! LOTS OF POINTS!!
x/4 + x/6 = 16/3 SHOW WORK.
Answers
I hope this helps in anyway. on the sides I tried to explain what I did:)
i hope u had a great day and to remember that school does not define how smart you are:)
Answer:
x = 12 and 4/5
Step-by-step explanation:
If you multiply by 12 on both sides, you get 3x + 2x = 64. This is equal to 5x = 64. Dividing by 5 on both sides, we get x = 64/5 or 12 and 4/5 or 12.8. Hope this helps.
Plz help me well mark brainliest only if correct!…
Answers
I need help on shehidbdornd Fr
Answers
Answer:
A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory makes 126 aquariums, how much water will be needed to fill all of them (in cubic feet)?
Step-by-step explanation:
Finding the inverse of the cube of a bijective function. i About For a function f : R + R, we will define f-cube as f-cube(x) = (f(x))3 . (a) Prove that if f is a bijection, then f-cube is also a bijection. You can use the fact that for any two real numbers x and y, if x = y, then æ1/ well-defined real number. 1/3 = y1/3. Also for any real number x, x1/3 is a (b) For a bijection f, what is the inverse of f-cube? Justify your answer. Feedback?
Answers
if f is a bijection, then f-cube is also a bijection, and the inverse of f-cube is f^-1(y1/3). These results are important for understanding the properties of functions and their inverses.
Finding the inverse of the cube of a bijective function is an important step in understanding the properties of functions. To prove that f-cube is a bijection if f is a bijection, we can use the fact that for any two real numbers x and y, if x = y, then x1/3 = y1/3. This means that if f(x) = f(y), then (f(x))3 = (f(y))3, or f-cube(x) = f-cube(y). Since f is a bijection, this means that x = y, so f-cube is also a bijection.
To find the inverse of f-cube, we can use the fact that for any real number x, x1/3 is a well-defined real number. This means that if we have f-cube(x) = y, we can take the cube root of both sides to get f(x) = y1/3. Since f is a bijection, it has an inverse function f^-1, so we can apply this inverse to both sides to get x = f^-1(y1/3). This means that the inverse of f-cube is f^-1(y1/3).
In conclusion, if f is a bijection, then f-cube is also a bijection, and the inverse of f-cube is f^-1(y1/3). These results are important for understanding the properties of functions and their inverses.
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what is a proportional relationship between x and y; proportional relationship calculator; proportional relationship formula; what is a proportional relationship example; proportional relationships 7th grade; is y=x/2 a proportional relationship; proportional relationship example problems
Answers
The proportional equation has a general form. The proportional relation is:
y = k/x
The letters y and x are variables that can vary, and the letter k is the constant of proportionality. A constant of proportionality is a constant ratio between the y and x variables. The constant of proportionality can be found by calculating y/x.
A proportional relationship is a relationship between two variables in which as one variable changes, increases, or decreases, the other variable changes at a constant rate. A constant ratio is considered a constant ratio between two variables. Proportional relationships can be identified by proportional equations, graphs, or tables. The proportionality equations discussed in this lesson have the general form: The graph is displayed as a straight line. The table is pairs of numbers with a constant ratio between the pairs.
A linear relationship is written as: y = mx + b, where m is the slope and b is the y-intercept.A direct proportional relation is written as y = k/x. where k is the constant of proportionality. A direct proportional relationship is a linear relationship where k is the slope and the y-intercept is zero.Therefore, only linear relationships with zero y-intercept are directly proportional.
For example:
If 1 hat is $20, 2 hats are $40, 3 hats are $60, and so on. This is a direct share. If you triple the number of hats, the total amount will triple.
For 1 hut and $30 fee, 2 hut and $50 fee, 3 hut and $70 fee. This is a linear relationship, with each additional hat ordered increases the price by $20. However, due to a one-time processing fee of $10, the total price of 3 hats will not be 3 times the total price of 1 hat.
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Miguel went to a movie theater and bought a large bag of popcorn that cost $10.49. To avoid
spending too much money in all, he determined that he could spend up to $5.51 on a drink.
Let x represent how much money Miguel wanted to spend in all. Which inequality describes
the problem?
x - 10.49 >
5.51
4
Submit
x - 10.49 <
5.51
Solve the inequality. Then, complete the sentence to describe the solution.
Miguel wanted to spend at most $15.91 in all.
Answers
Answer:75.6
Step-by-step explanation:
7. How many possible combinations are possible if you choose exactly 4
toppings for a pizza from the choices below? You may use your formula sheet
or Desmos formulas to show your work.
pepperoni, pineapple, sausage, onions, frogs. peppers, ham, fish, olives.
mushrooms, tomatoes
Answers
The number of possible combinations is 330.
What is combination?
The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.
The toppings for a pizza is pepperoni, pineapple, sausage, onions, frogs. peppers, ham, fish, olives, mushrooms, tomatoes.
The number of toppings is 11.
you choose exactly 4 toppings for a pizza.
Here r = 4
n = 11
The formula of combination rCn.
The number of possible combinations of a pizza is
₁₁C₄ = 11!/[4! (11-4)!]
₁₁C₄ = 11!/[4! 7!]
₁₁C₄ = 330
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Help please 111119228282
Answers
Here we have a dilation of scale factor 2.
How to describe the enlargement?We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.
To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:
L' = K*L
Here if we use the left sides, we will get:
for figure A; L= 2
for figure B: L = 4
4 = K*2
4/2 = K
2 = K
So this is a dilation of scale factor k = 2.
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Easy math questions, I just don't have time
Answers
He paid $1,502
He received four ten-dollar bills
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
Answers
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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Find the slope of the line that goes through the points (11,-14) and (-9,15).
Answers
Answer:
yo tbh
Step-by-step explanation:
just wanted the points
Answer:
slope: -1.45
Step-by-step explanation:
It is believed that 90 percent of the population of all students consider statistics to be an exciting subject. Suppose we randomly and independently selected 20 students from the population. Find the probability that at least 15 of these students consider statistics to be an exciting subjec
Answers
Answer:
18 students
Step-by-step explanation:
90 percent of 20 is 18. 75 percent of 20 is 15.So More than 15 students .
Zack and Dave each bought some coins from jerry online. Dave bought 5 more coins than Zack bought
C. Explain why it’s not necessary to know how many coins Zack bought to determine how much more Dave paid than Zack paid
Answers
Answer & Step-by-step explanation:
number of Dave's coins = number of Zack's coins + 5
The question is asking to find the difference in prices paid (thus "more"), completely unrelated to the number of coins Zack bought as these two numbers are independent of one another. The difference in price can be found by simply multiplying the cost of one coin by 5.
Joe works as a plumber. He charges $45 per hour for a house call. You can use the equation c = 45h to determine the total amount of money Joe earns after h hours of work. If he made a total of $540, how many hours did he work?
A
5 hours
B
6 hours
C
10 hours
D
12 hours i asked how many hours it would be : (
Answers
Answer:
D. 12 hours
Step-by-step explanation:
You divide the total he made by how much he charges per hour to find out how many hours he worked.
540 divided by 45 equals 12.
In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.
Answers
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain
empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7
gallons of water. Three minutes later, the tank contains 5 gallons of water.
a. At what rate is the amount of water in the tank changing? Use a signed number,
and include the unit of measurement in your answer.
b. How many more minutes will it take for the tank to drain completely? Explain or
show your reasoning.
C. How many minutes before Jada arrived was the water tank completely full?
Explain or show your reasoning.
Answers
What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answers
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.