Answers
Using the angles in a triangle formula we can get the value of x to be = 19.4
What are angles?A point where two lines intersect each other produces an angle. The breadth of the "opening" between these two rays is referred to as an "angle." It is depicted by the character "∠". Radians, a unit of circularity or rotation, and degrees are two common units used to express angles.
Here. the tangents form a triangle with angles: (5x-6) °, (4x+8) ° and 3°.
Now as per sum of angles in a triangle will be 180°:
5x-6 + 4x + 8 + 3 = 180
⇒ 9x + 5 = 180
⇒ 9x = 175
⇒ x = 19.4
Therefore, the value of x = 19.4.
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Related Questions
Which angle is congruent to ∠8? Select all that apply.
A. ∠1
B. ∠2
C. ∠3
D. ∠4
Answers
Answer:
Angle 1,Angle 4
Step-by-step explanation:
They're
The value of angle ∠1 and angle ∠4 will be congruent with angle ∠8. The correct options are D.
What are lines and angles?Lines are straight with little depth or width. Perpendicular lines, intersecting lines, transversal lines, and other types of lines will be covered. An angle is a shape formed by two rays emerging from a common point. In this field, you may also come across alternate and corresponding angles.
Given that there are two lines e and f cut by the transversal line g making different angles.
From the property of the alternate interior angles the two angles, 1 and 4 are congruent to angle 8. The value is mathematically written as,
∠1 = ∠4 = ∠8
Therefore, the value of angle ∠1 and angle ∠4 will be congruent with angle ∠8. The correct options are D.
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I NEED HELP ASAP! the question is in the picture
Answers
•18 •18
18sin(30)=x
-10
Which system of inequalities is shown in the graph?
A)
x - 2y > 8 or x - 2y ≤ -6
x - 2y < 8 or x - 2y 2-6
x - 2y > -8 or x - 2y ≤ 6
x - 2y <-8 or x - 2y ≥ 6
B)
G
D)
-5
10-
0
-10+
5
10
Answers
Answer:
x - 2y > 8 or x - 2y ≤ -6
Step-by-step explanation:
I used desmos
I hope this helps!!!
The graph and the table show the high temperatures in a city over a 10-day period.
a. What was the high temperature on Day 7?
b. On which days was the high temperature 61 degrees?
c. Is the high temperature a function of the day? Explain how you know.
d. Is the day a function of the high temperature? Explain how you know.
Answers
The graph and the table show the high temperatures in a city over a 10-day period. here are the right answer:
a. 60, b. 2, 4, and 6 days
c. Yes, the high temperature is a function of the day.
Reading the graph:The following group is shows a the high temperatures in a city for 10 -days. Where height temperature is on day 9, lowest temparature in day 7. Here the high temperature is a function of the day.
Here we have
The graph and the table show the high temperatures in a city for 10-days
From the table,
The high temperature on Day 7 = 60
The high temperature 61 degrees on 2, 4, and 6 days
Since the graph shows the change in temperature as well as the change in the number of days the high temperature is a function of the day
Therefore,
The answer are
a. 60, b. 2, 4, and 6 days
c. Yes, the high temperature is a function of the day.
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PLEASE PROVIDE ANSWER AS SOON AS POSSIBLE
Answers
Find the volume of a right circular cone that has a height of 18.1 in and a base with a diameter of 18.7 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer: 1657.0 in^3
Step-by-step explanation:
The formula for the volume of a right circular cone is: V = π*r^2*(h/3).
Therefore, plugging in 18.1 for "h" and 9.35 for "r" (this is half of the diameter) yields the answer.
WILL GIVE BRAINLIEST
Triangle XYZ ~ triangle JKL. Use the image to answer the question.
a triangle XYZ with side XY labeled 8.7, side XZ labeled 8.2, and side YZ labeled 7.8 and a second triangle JKL with side JK labeled 10.44
Determine the measurement of KL.
KL = 8.58
KL = 9.36
KL = 10.13
KL = 9.84
AND EXPLAIN WHY
Answers
Answer:
B) KL = 9.36
Step-by-step explanation:
It looks like the triangle JKL is scaled to a factor of 1.2 because with the first angle XY at 8.7 and the first angle JK at 10.44, this is 10.44/8.7 = 1.2.
Therefore, multiply the rest of the angles by the scale factor to get:
JL: 8.2 * 1.2 = 9.84
KL: 7.8 * 1.2 = 9.36
If this helped, please make this answer BRAINLIEST!! ;)
For 23 years, Janet saved $1,150 at the beginning of every month in a fund that earned 3.25% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent Round to the nearest cent b. What was the amount of interest earned over the period?
Answers
The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.
a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.
To calculate the balance, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:
Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683
Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:
A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51
Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.
b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:
Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance
Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49
Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.
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You have 2/5 of a pizza left over from your pool party. If you sent 2/3 of the leftover pizza home with your friends, how much of the pizza do you have left in the box?
Answers
In order to determine how much of the pizza have left in the box, proceed as follow:
Multiply 2/3 by 2/5:
\(\frac{2}{3}\cdot\frac{2}{5}=\frac{4}{15}\)It means that you sent 4/15 of the pizza you intially have.
Now, subtract 4/15 to 2/5 to determine the pizza left in the box:
\(\frac{2}{5}-\frac{4}{15}=\frac{30-20}{75}=\frac{10}{75}=\frac{2}{15}\)Hence, the pizza in the box is 2/15 of the pizza of the party
x³- 16x write factorize
Answers
Answer:
x(x+4)(x−4)
Step-by-step explanation:
Factor x3−16x
x3−16x
=x(x+4)(x−4)
Answer:
x³-16x
x(x²-4²)
x(x+4)(x-4) is your answer
Use the function below (whose parameters qualify it as a STC function) to answer the questions.
"STC "=" 6 "+"9 Q - 3" "Q" ^2 +" (1/3)" "Q" ^3
a) Total fixed cost is $_________
b) Obtain the AFC function from (a) and write it here __________________
c) Obtain the AVC function contained in the STC function and write the AVC function here _________________________
d) Write here the MC function __________________________
e) Find the value which AFC approaches as Q gets very large. Also write a sentence or two explaining what this implies for fixed costs per unit (AFC) as production quantities get ever larger.
f) Find the value of Q at which AVC is a minimum.
g) Is productive efficiency at the value in (f) greatest or least?
h) Demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum. Hint: The level of Q you found in (f) is where AVC is a minimum. If you plug this level of Q into AVC (see c) and also into MC (see d) the two outcomes should be the same if SMC crosses AVC at this level of Q.
i) Why does the derivative of Short Run Total Cost (STC) equal the derivative of Total Variable Cost (TVC)? Stated another way, why does dSTC/dQ = dTVC/dQ? Explain in a couple of sentences.
j. Find the value of Q where increasing returns ceases and diminishing returns begins. Hint: Diminishing returns begins at the level of Q where MC is a minimum
Answers
Total fixed cost is $6. The value of AFC is $6 / Q. Productive efficiency is greatest at Q = 4.5. Diminishing returns begin when Q = 3. The total fixed cost (TFC) does not change because it is fixed.
a) Total fixed cost is $6
b) We can obtain the average fixed cost function (AFC) from the total fixed cost (TFC) by dividing it by output (Q) as follows: AFC = TFC / Q. So, the value of AFC is $6 / Q.
c) The AVC function is calculated by dividing total variable cost (TVC) by output (Q).
STC = TFC + TVC6 + 9Q - 3Q2 + (1/3)Q3TVC = 9Q - 3Q2 + (1/3)Q3AVC = TVC / QAVC = (9Q - 3Q2 + (1/3)Q3) / QAVC = 9 - 3Q + (1/3)Q2
d) The MC function is derived by taking the first derivative of the STC function with respect to output (Q). The derivative of the STC function is: MC = dSTC / dQMC = 9 - 6Q + Q2
e) As Q approaches infinity, the denominator of AFC becomes larger and larger. So, AFC approaches zero as Q gets very large. This implies that fixed costs per unit decrease as production quantities get larger.
f) We can find the value of Q at which AVC is a minimum by taking the first derivative of the AVC function and setting it equal to zero. The first derivative of AVC is: AVC = 9 - 3Q + (1/3)Q2
dAVC / dQ = -3 + (2/3)Q= 0
Q = 4.5
g) Productive efficiency is greatest when AVC is at its minimum. Therefore, productive efficiency is greatest at Q = 4.5.
h) We can demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum by plugging Q = 4.5 into both the AVC and MC functions. AVC = 9 - 3(4.5) + (1/3)(4.5)2AVC = 7.125MC = 9 - 6(4.5) + 4.52MC = 7.125
Since SMC = MC, we can conclude that SMC equals AVC at the value of Q where AVC is a minimum.
i) In the short run, the total fixed cost (TFC) does not change because it is fixed. Therefore, the derivative of the STC function with respect to output (Q) is equal to the derivative of the TVC function with respect to output (Q). This means that dSTC / dQ = dTVC / dQ.
j) Increasing returns to scale cease when the marginal cost (MC) is equal to average total cost (ATC). Diminishing returns to scale begins when MC exceeds ATC. ATC is calculated by dividing the total cost (TC) by output (Q). TC is calculated by adding total fixed cost (TFC) and total variable cost (TVC).
ATC = TC / QATC = (6 + 9Q - 3Q2 + (1/3)Q3) / Q
Now, we can find the level of Q where increasing returns to scale cease by calculating the first derivative of ATC and setting it equal to zero.
ATC = (6 + 9Q - 3Q2 + (1/3)Q3) / QdATC / dQ = (6 - 6Q + Q2) / Q2= 0
Q = 3
Now, we can calculate the marginal cost function and find the level of Q where diminishing returns begins. We know that diminishing returns begin where the marginal cost is at its minimum.
MC = 9 - 6Q + Q2MC = 9 - 6(3) + 32MC = 3
So, diminishing returns begin when Q = 3.
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Please help me please
Answers
Water makes up about 60% of the average adult's body weight. Represent this percent by shading in the squares.
Answers
Answer:
shading three boxes
Step-by-step explanation:
It is given that :
The body weight of an average adult = 60%
We have to show this by shading the square boxes shown.
There are 5 square boxes in total which makes up 100%.
So divide 100 by 5, we can 20% for each box.
So, 20% + 20% + 20% will give us 60%
Therefore, shading three boxes will give us 60% which is the water percent in an average adult's body weight.
This is represented by the figure below.
Given a reduced echelon matrix in R3 is 1--1 iff the homogeneous system Ax = 0 has only the trivial solution iff there are no free variables.
A. True B. False
Answers
A reduced echelon matrix in R3 is 1--1 if and only if the homogeneous system Ax = 0 has only the trivial solution if and only if there are no free variables.
The statement is true.
A reduced echelon matrix in R3 represents a linear system of equations that can be solved using Gaussian elimination.
The reduced echelon form of a matrix is obtained by performing row operations that reduce the matrix to a triangular form, with ones on the main diagonal and zeros below it.
If the homogeneous system Ax = 0 has only the trivial solution, it means that the only solution to the system is the zero vector.
In other words, there are no non-zero vectors that satisfy the system.
This is equivalent to saying that the rank of the matrix is equal to the number of columns, or in other words, there are no free variables in the system.
If the system has no free variables, it means that each variable can be expressed as a unique function of the other variables.
This implies that the system has a unique solution, or in other words, the mapping from the system of equations to the solution vector is one-to-one.
If the system is one-to-one, it means that each solution vector corresponds to a unique system of equations.
This implies that there are no redundant equations or variables, and therefore no free variables.
Hence, the homogeneous system Ax = 0 has only the trivial solution.
The statement is true.
A reduced echelon matrix in R3 is 1--1 if and only if the homogeneous system Ax = 0 has only the trivial solution if and only if there are no free variables.
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After too many drinks at a party, your friend awkwardly stumbles into a table, almost knocking it over. Your friend coordination such as walking between tables, is reduced because the alcohol has affected his:a. medullab. cerebellumc. thalamusd. motor cortex
Answers
Answer:
B. Cerebellum
Step-by-step explanation:
two nimbers have a product of 90 and a sum of 19. What are the two numbers?
Answers
Answer:
9 + 10 = 19 product is 9 x 10 = 90 9^2 + 10^2 = 181
I need help asap!!!!
Answers
Answer:
Step-by-step explanation:
Its A and B
The local supermarket had a sale on canned green beans. The green beans sold for 3!cans for $1. 25. One can of green beans usually sells for 50 cents. Find the percent of increase of decrease
Answers
The sale price of the green beans represents a decrease of 16.67% compared to the original price of the beans.
To find the percent increase or decrease in the price of a can of green beans during the sale, we need to compare the sale price with the original price.
During the sale, the green beans were sold at a rate of 3 cans for $1.25, or approximately 41.67 cents per can:
Sale price per can = $1.25 / 3 = $0.4167 ≈ 41.67 cents
The original price of a can of green beans was 50 cents.
To find the percent increase or decrease in the price, we can use the following formula:
Percent increase or decrease = ((New value - Old value) / Old value) x 100%
Substituting the values, we get:
Percent increase or decrease = ((0.4167 - 0.5) / 0.5) x 100%
Percent increase or decrease = (-0.0833 / 0.5) x 100%
Percent increase or decrease = -16.67%
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A company orders 28 box lunches from a deli for 204 $.40 if each box lunch cost the same amount what is the unit cost of each box lunch
Answers
The total price is 204.40 for 28 boxes. So we need to divide the total price of how many were bought.
$204.40 / 28 = $7.8 for each box
What is the answer to this, I’m doing an assignment that i forgot to do over spring break
Answers
Answer:
24/25
Step-by-step explanation:
When dividing fractions, multiply the first fraction by the reciprocal of the second fraction, and simplify if necessary.
3/5 ÷ 5/8 = 3/5 × 8/5 = 24/25
What is z+6+5z+1 I will mark brainlist answer
Answers
Answer:
6z plus 7
Step-by-step explanation:
an elementary school is offering 3 language classes: one in spanish, one in french, and one in german. the classes are open to any of the 100 students in the school. there are 28 students in the spanish class, 26 in the french class, and 16 in the german class. there are 12 students that are in both spanish and french, 4 that are in both spanish and german, and 6 that are in both french and german. in addition, there are 2 students taking all 3 classes.
Answers
Using Venn diagram, if a student is chosen randomly, (a) the probability that he or she is not in any of the language classes is 0.5, (b) the probability that he or she is taking exactly one language class is 0.32, and (c) if 2 students are chosen randomly, the probability that at least 1 is taking a language class is 0.753.
Venn diagram is a diagram used to present the relationship between sets in a logical form. (See attached image)
Let A = students in the Spanish class = 28
B = students in the French class = 26
C = students in the German class = 16
Hence, the probability of each class is:
P(A) = 28/100 = 0.28
P(B) = 26/100 = 0.26
P(C) = 16/100 = 0.16
P(A ∩ B) = 12/100 = 0.12
P(B ∩ C) = 6/100 = 0.06
P(A ∩ C) = 4/100 = 0.04
P(A ∩ B ∩ C) = 2/100 = 0.02
(a) P(not A, B, C) = 1 - P(A ∪ B ∪ C)
P(not A, B, C) = 1 - [P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)]
P(not A, B, C) = 1 - (0.28 + 0.26 + 0.16 - 0.12 - 0.06 - 0.04 + 0.02)
P(not A, B, C) = 1 - 0.5
P(not A, B, C) = 0.5
(b) P(A, B, C only) = P(A only) + P(B only) + P(c only)
P(A, B, C only) = [P(A) - P(A ∩ B) - P(A ∩ C) + P(A ∩ B ∩ C)] + [P(B) - P(A ∩ B) - P(B ∩ C) + P(A ∩ B ∩ C)] + [P(C) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)]
P(A, B, C only) = (0.28 - 0.12 - 0.04 + 0.02) + (0.26 - 0.12 - 0.06 + 0.02) + (0.16 - 0.06 - 0.04 + 0.02)
P(A, B, C only) = 0.14 + 0.10 + 0.08
P(A, B, C only) = 0.32
(c) P = 1 - (50/100 x 49/99)
P = 1 - (49/198)
P = 149/198
P = 0.753
To complete the problem, here are the questions:
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
(b) If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
(c) If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?
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pls help asap if you can!!!!!
Answers
Answer:
x = 24
Step-by-step explanation:
if a and b are parallel then
62 and 5x - 2 are same- side interior angles and sum to 180° , that is
5x - 2 + 62 = 180
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
thus for a to be parallel to b , then x = 24
EASY Math Homework EASY
Answers
1a) 2x + 3y = 24
To solve this first equation, plug in provided values until you get a true statement. In this case, option 2 is correct.
2(3) + 3(6) = 24
6 + 18 = 24
24 = 24
1b) y > x + 2
To solve this first equation, plug in provided values until you get a true statement. In this case, option 1 is correct.
7 > 4 + 2
7 > 6
1c) x - 3y ≤ 5
To solve this first equation, plug in provided values until you get a true statement. In this case, option 3 is correct.
0 - 3(7/2) ≤ -2
0 - 10.5 ≤ -2
True
1d) Needs options
Answer:1a) 2x + 3y = 24 is (3,6)
1b) y > x + 2 is (7,4)
1c) x - 3y ≤ 5 is (0,-2)
1d) what are the options?
Step-by-step explanation:
a rivet is to be inserted into a hole. if the standard deviation of hole diameter exceeds 0.02 mm, there is an unacceptably high probability that the rivet will not fit. a random sample of n 15 parts is selected, and the hole diameter is measured. the sample standard deviation of the hole diameter measurements is s 0.016 mm. (a) is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.02 mm? calculate
Answers
Based on the hypothesis test, we fail to reject the null hypothesis that the standard deviation of hole diameter is less than or equal to 0.02 mm. Therefore, there is not enough evidence to indicate that the standard deviation of hole diameter exceeds 0.02 mm.
To test whether there is strong evidence to indicate that the standard deviation of hole diameter exceeds 0.02 mm, we can use a hypothesis test.
Let's assume that the hole diameter measurements follow a normal distribution. Then, the null hypothesis is that the standard deviation of the hole diameter, σ, is less than or equal to 0.02 mm
H0: σ ≤ 0.02
The alternative hypothesis is that the standard deviation of the hole diameter is greater than 0.02 mm
Ha: σ > 0.02
We can use a chi-square distribution with n-1 degrees of freedom to test this hypothesis. The test statistic is calculated as
χ2 = (n-1) × s^2 / σ^2
where s is the sample standard deviation, σ is the hypothesized population standard deviation (0.02 mm), and n is the sample size (15).
Plugging in the numbers, we get:
χ2 = (15-1) × 0.016^2 / 0.02^2 ≈ 4.08
The corresponding p-value for this test statistic can be found using a chi-square distribution with 14 degrees of freedom. Using a calculator or statistical software, we find that the p-value is approximately 0.931.
Since the p-value is much greater than the significance level (α = 0.05), we fail to reject the null hypothesis. There is not enough evidence to conclude that the standard deviation of hole diameter exceeds 0.02 mm.
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simplify the expression using properties of operation -8(1 +x) + 7x
Answers
Answer:
- x - 8
Step-by-step explanation:
Step 1:
- 8 ( 1 + x ) + 7x Equation
Step 2:
- 8 - 8x + 7x Multiply
Step 3:
- 8 - x Combine Like Terms
Answer:
- x - 8
Hope This Helps :)
If the systolic pressures of two patients differ by millimeters, by how much would you predict their diastolic pressures to differ? Round the answer to three decimal places
Answers
Answer:
convert each fraction to a mixed number
Can someone help me solve this?
Answers
The function is an exponential growth since it is increasing with time and k is positive
What is exponential growth?
Given that at t =6, P = 167075
Then;
167075 =110.8e^6k
167075/110.8 = e^6k
1507.9 = e^6k
ln(1507.9) = 6k
k = ln(1507.9)/6
k = 1.2
Thus in the year 2020;
P = 110.8e^20(1.2)
P = 2.9 * 10^12
In the year 2025;
P = 110.8e^25(1.2)
P = 1.18 * 10^15
To reach 290,000
290,000 = 110.8e^1.2t
290000/110.8 = e^1.2t
2617.3 = e^1.2t
t = ln(2617.3 )/1.2
t = 7 years
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I will mark Brainiest (no links please)
Answers
Answer:
Step-by-step explanation:
Are the volumes equal? No, so throw out the first and the last one.
Is the volume of the pyramid greater than the volume of prism?
No, so throw out the third one
so by inspection it must be the remaining one
or mathematically
vol pyramid = (1/3)(base)(height)
vol prism = (base)(height)
vol pyramid / vol prism
(1/3)(base)(height) / (base)(height) = 1/3
Someone please help I’m literally so close to finishing this assignment and schools almost over so I need to bring up my grade quick
Answers
Step-by-step explanation:
if that is a problem for the end of the school year, what problems did you solve during the year ?
this question needs one of the basic principles of angles :
the sum of all angles around one point on one side of a line is always 180°, because that line can be seen as the diameter of a circle, and the point is the center of that circle. so, all angles in one side of the line are representing a half-circle.
this special point here is clearly T.
and 85 + x = 180
x = 180 - 85 = 95°