Answers
Answer:
sorry wala pa ang math ko jan
Answer:
c. 88
Step-by-step explanation:
All the the angles put together are equal to 360°.
ABC and DBE are congruent.
Therefore, 360-131-53=176 and since the two angles are congruent you divide 176 by to and get 88°
Related Questions
Two points have the coordinates (2,3) and (7,9).
Calculate the distance between the two points. Give the answer in two significant figures.
Answers
Answer:
x¹y¹=2,3
x²y²=7,9
ans
prove
and
last
=
rhs
I arrive at a bus stop at a time that is normally distributed with mean 08:00 and SD 2 minutes. My bus arrives at the stop at an independent normally distributed time with mean 08:05 a.m. and SD 3 minutes. The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus
Answers
Answer:
0.0485 = 4.85% probability that you miss the bus.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In this question:
We have to find the distribution for the difference in times between when you arrive and when the bus arrives.
You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:
[tex]\mu = 0 - 5 = -5[/tex]
The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So
[tex]\sigma = \sqrt{2^2 + 3^2} = \sqrt{13}[/tex]
The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?
You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - (-5)}{\sqrt{13}}[/tex]
[tex]Z = \frac{6}{\sqrt{13}}[/tex]
[tex]Z = 1.66[/tex]
[tex]Z = 1.66[/tex] has a pvalue of 0.9515
1 - 0.9515 = 0.0485
0.0485 = 4.85% probability that you miss the bus.
if the average of x and y is 11 and the average of x, y and z is 5, what is the value of z?
Answers
Answer:
z = -17
Step-by-step explanation:
If the average of x and y is 11, then;
x+y/2 = 11
x+y = 2 + 11
x+y = 22 .... 1
similarly, if average of x, y and z is 5, then;
x+y+z/3 = 5
x+y+z = 3*5
x+y+z = 15
Since x+y = 22
22 + z = 5
z = 5 - 22
z = -17
Hence the value of z is -17
how do you prove each of the following theorems using either a two-column paragraph or flow chart proof?
triangle sum theorem-
triangle inequality theorem-
isosceles triangle theorem-
converse of the isosceles triangle theorem-
midsegment of a triangle theorem-
concurrency of medians theorem-
Answers
Answer:
Step-by-step explanation:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
3) Isosceles triangle theorem states that the angles opposite the equal sides of an isosceles triangle are congruent
4) Converse of the Isosceles theorem states that the sides opposite the equal angles of an isosceles triangle are congruent
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
6) Concurrency of medians theorem states that the medians of a triangle intersect at a point within the triangle
Step-by-step explanation:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
Proof: To draw a triangle ABC starting from the point A we move 180° - ∠A to get to ∠B
From ∠B we turn 180° - ∠B to get to ∠C and from ∠C we turn 180° - ∠C to get back to A we therefore have turned 360° to get to A which gives;
180° - ∠A + 180° - ∠B + 180° - ∠C = 360°
Hence;
- ∠A - ∠B - ∠C = 360° - (180°+ 180°+ 180°) = -180°
-(∠A + ∠B + ∠C) = -180°
∴ ∠A + ∠B + ∠C = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
Proof: Given ΔABC with height h from B to D along AC, then
AC = AB×cos∠A + CB×cos∠C
Since ∠A and ∠C are < 90 the cos∠A and cos∠C are < 1
∴ AC < AB + CB
3) Isosceles triangle theorem
Where we have an isosceles triangle ΔABC with AB = CB, we have by sine rule;
Therefore;
sin(C) = sin(A) hence ∠A = ∠C
4) Converse of the Isosceles theorem
Where we have an isosceles triangle ΔABC with ∠A = ∠C, we have by sine rule;
Therefore;
sin(C) = sin(A) hence AB = CB
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
Given triangle ABC with midsegment at DF between BA and BC respectively, we have;
in ΔABC and ΔADF
∠A ≅ ∠A
BA = 2 × DA, BC = 2 × FA
Hence;
ΔABC ~ ΔADF (SAS similarity)
Therefore,
BA/DA = BC/FA = DF/AC = 2
Hence AC = 2×DF
6) Concurrency of Medians Theorem
By Ceva's theorem we have that the point of intersection of the segments from the angles in ΔABC is concurrent when the result of multiplying ratio the ratios of the segment formed on each of the triangle = 1
Since the medians bisect the segment AB into AZ + ZB
BC into BX + XB
AC into AY + YC
Where:
AZ = ZB
BX = XB
AY = YC
We have;
AZ/ZB = BX/XB = AY/YC = 1
∴ AZ/ZB × BX/XB × AY/YC = 1 and the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).
PLZ MARK ME BRAINLY
Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p is a square. Let the sides of the rectangle be x and y and let f and g represent the area (A) and perimeter (p), respectively. Find the following. A = f(x, y) = p = g(x, y) = ∇f(x, y) = ????∇g = Then ???? = 1 2 y = implies that x = . Therefore, the rectangle with maximum area is a square with side length .
Answers
Answer:
a) Rectangle of maximum area ( given perimeter p ) is
A= x² That means the rectangle of maximum area, is a square
Step-by-step explanation:
The equation: A (x,y) = x*y is the area of a rectangle ( to maximize)
Subject to: p = 2*x + 2*y or g(x,y) = 2*x + 2*y -p
Now
A(x,y) = x*y δA/δx = y δA/δy = x
And
g(x,y) = 2*x + 2*y -p
δg(x,y)/δx = 2 and δg(x,y)/δy = 2
Matching respective partial derivatives we get a system of equation
δA/δx = y = λ * = δg(x,y)/δx = 2
y = 2*λ
δA/δy = x = 2*λ
The system of equations is:
y = 2*λ
x = 2*λ
And 2*x + 2*y -p = 0
p = 2*x +2*y
So x = y p is equal either 4*x or 4*y
Solving for λ
What is the first step to solve the following system of equations using substitution?
ſ 3.x+y= 15
5x – 3y = 11
Answers
that way the equations have variables with equal coefficients
Answer:
multiply 3 to the second eqn
Multiply the polynomials and simplify by combining like terms.
(x2 + 2) (4x3+x-5) = Simplify your answer
Answers
Answer:
4x^5+9x^3-5x^2+2x-10
Step-by-step explanation:
(x^2+2)(4x^3+x-5)
4x^5+x^3-5x^2+8x^3+2x-10
4x^5+x^3+8x^3-5x^2+2x-10
4x^5+9x^3-5x^2+2x-10
Help please it’s bout to be report cards and I have a bad grade
Answers
Step-by-step explanation:
Given,
[tex]y = - 3(x - 2) + 4[/tex]
then,
[tex]y = - 3x + 6 + 4 \\ y = - 3x + 10[/tex]
also,
[tex]y + 3x = 10 \\ 3x + y = 10 \\ multiply \: equation \: by \: 2 \\ 6x + 2y = 20[/tex]
From here you can see,options C and E are the answer
What is the area of a circle with a radius of 1 foot?
Answers
Answer:
C. π ft ²
Step-by-step explanation:
:)
Answer:
c. 3.14^2
Step-by-step explanation:
A= pi × R^2
have a good day
Please help immediately!!!
Answers
Answer:
x^2+y^2=5
25x^2+25y^2=1
x^2+y^2=0.25
x^×+y^2=0.0025
Simplify the following expression. (3 + 8x) + 7x 3 +15 18 + x 11x+7 18 x
Answers
Answer:
3 plus 15x should be the correct answer.
Step-by-step explanation:
hope this helped
Answer:
3+8x+7x3+1518+x11x+718x
=3+8x+7x3+1518+x12+718x
Step-by-step explanation:
Max is the owner of California Surfer shop his store sells shortboards that are $400 he decided to have a sale for 10% off but then raised the price up by 15%, what is the price for the Shortboards?
Answers
Answer:
$414
Step-by-step explanation:
Steps to take to derive the answer to this question :
1. Determine the price after the 10% discount
2. Use the price gotten above to determine the price after the 15% raise
price after discount = original price - discount
Discount = 0.1 x $400 = $40
Price after discount = $400 - $40 = $360
Price after raise = discounted price + raise
15% raise = 0.15 x $360 = $54
Price after raise = $360 + $54 = $414
carmen y catalina comparan la nota que obtuvieron en su examen de nivelacion matematica y mencionan lo siguiente: nuestras notas juntas es igual a 34 puntos pero se sabe que carmen obtuvo 4 puntos mas que catalina, ¿ cual es la nota de catalina?
Answers
Answer:
38?
Step-by-step explanation:
Find the volume of the rectangular prism.
Volume =
_in?
7 in.
10 in.
7 in.
Answers
Answer:
490 in.^3
Step-by-step explanation:
volume = length * width * height
volume = 7 in. * 10 in. * 7 in.
volume = 490 in.^3
Volume = edge^(3).
Volume = (7)(10)(7) inches
Volume = 490in^3
Determine the degree of the polynomial 49xy+34y−72z.
Answers
The polynomial 49 · x · y + 34 · y - 72 · z has three variables (x, y, z) and each of these variables has a degree of 1.
How to determine the degree of a polynomial
Variables and degrees are the most important features in polynomials. A variable is a letter that represents at least one value of an expression and the degree of the variable is the maximum number of the exponent associated to the variable. According to the statement, the polynomial has three variables (x, y, z), each of them has an degree of 1, that is:
grade (x) = 1, grade (y) = 1, grade (z) = 1
To learn more on degree of polynomials: https://brainly.com/question/12850541
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A sample of 14 joint specimens of a particular type gave a sample mean proportional limit stress of 8.59 MPa and a sample standard deviation of 0.72 MPa. (a) Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.) MPa Interpret this bound. With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is less than this value. With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is greater than this value. With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around this value. What, if any, assumptions did you make about the distribution of proportional limit stress
Answers
Answer:
(8.1744 ; 9.0056) ;
With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around this value.
Step-by-step explanation:
Given that :
Sample size, n = 14
Mean, xbar = 8.59
Standard deviation, s = 0.72
Tcritical at 95%, df = 13 - 1 = 12 confidence level = 2.160
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.160 * 0.72/sqrt(14)
Margin of Error = 0.4156446
Lower confidence boundary :
8.59 - 0.4156 = 8.1744
Upper confidence boundary :
8.59 + 0.4156 = 9.0056
Confidence interval : (8.1744 ; 9.0056)
Hence, we can conclude with a confidence of 95% that the true mean proportional limit stress of all joints exists within the interval above.
i really need help on these two questions. its my last two.
Answers
Answer:
10. 200 sq.in
11. 56 sq.in
Step-by-step explanation:
10.
area = 16×2 + 12×10 + 1/2 × 8 ×12
= 32+ 120 + 48
= 200
11.
area= 1/2 ×3 × 4+ 1/2×5×4 + 8×5
= 6+ 10 + 40
=56 sq.in
Question
Suppose Shelly invests $2650 semiannually into an annuity for six years. At the end of this time, she has $40,000. How
much of this balance is from interest? Enter your answer as a whole number, without the dollar sign and a comma
Answers
Answer:
$8200
Step-by-step explanation:
rounded to the nearest dollar
The required interest earned is $8200.
Given that,
Suppose Shelly invests $2650 semiannually into an annuity for six years. At the end of this time, she has $40,000.
To determine how much of this balance is from interest.
Simple interest is defined as the percentage of earnings on the lending for a period of time.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Total balance earned = $40,000
Total investment in 6 year = 6*2*2650
= 31,800
Interest earned = 40,000 - 31800
= $8200
Thus, the required interest earned is $8200.
Learn more about your interest here:
https://brainly.com/question/20406888
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1.
Mr Rankhakile receives a statement from the bank every month with regards to the
vehicle he purchased.
The cash price of the vehicle was R151 140 but since Mr Rankhakile didn't have
enough money in cash, he bought the car on hire-npurchase. An example of one of his
statements is given in ANNEXURE A. Study ANNEXURE A and answer the
questions that follow. Write down the street name used on this statement
Answers
-#(1(1+#&$:3:+343;2()1-^|•{`}÷~^¢™¢
Which expression is equivalent to 16+2·36?
f 2^4 + 2^3 ⋅ 3^2
g 2^3 + 2^3 ⋅ 3^2
h 2^4 + 2^2 ⋅ 3^2
j 2^3 + 2^2 ⋅ 3^3
Answers
9514 1404 393
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
16 +2·36 = 16 +2·4·9 = 16 +8·9
= 2^4 + 2^3 · 3^2 . . . . . matches choice F
_____
Since you're familiar with your multiplication tables, you know ...
4 = 2·2
8 = 2·4 = 2·2·2 = 2^3
16 = 2·8 = 2·2·2·2 = 2^4
9 = 3·3 = 3^2
36 = 4·9
The exponent signifies repeated multiplication.
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
i will give BRAINLIEST!!! middle school math...
On a coordinate grid, point is at (2, 1) and point Ris at (-6, -5) Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? O Q(2, -1), S(-6,5) O Q(-2, 1), S(6,-5) O Q(-2, -1), S(6,5) O Q(-2, 1), S(-6, 5)
Answers
Answer:
Solution given:
A(x,y))----reflection about x axis--->A'(x,-y)
P(2,1)---reflection about x axis----->Q(2,-1)
R(-6,-5)----reflection about x axis-->S(-6,5)
Answer:
A. Q(2, -1), S(-6,5)Step-by-step explanation:
Reflection rule across the x-axis:
(x, y) → (x, -y)P(2, 1) → Q(2, -1)R(-6, -5) → S(-6, 5)Correct choice is A
NEED HELP ASAP PLEASE PLEASE PLEASE
Answers
Answer:
tanθ=1.17
Step-by-step explanation:
please see the attachment below
Can someone help me with number 9 pllsssss I’m confused
Answers
Answer:
C
Step-by-step explanation:
Select all the conditions for which it is possible to construct a triangle. A triangle with side lengths 4 cm, 5 cm, and 15 cm A triangle with side lengths 5 cm, 5 cm. and 10 cm. A triangle with side lengths 3 cm. 5 cm. and 7 cm A triangle with side lengths 4 cm, 5 cm. and 6 cm.
Answers
9514 1404 393
Answer:
A triangle with side lengths 3 cm. 5 cm. and 7 cm A triangle with side lengths 4 cm, 5 cm. and 6 cm.Step-by-step explanation:
The sum of the short two sides must exceed the length of the longest side. That is not the case for lengths {4, 5, 15} or {5, 5, 10}.
Triangles can be formed from {3, 5, 7} and {4, 5, 6}.
greg is at a used bookstore. Paperback books cost $1 each, and hardcover books cost $2 each. Greg can spend up to $20 in all. Write and inequality that represents this situation. Let x be the number of paperback books, and let y be the number of hardcover books.
Answers
Step-by-step explanation:
Cost of paperback books = $1x = $x
Cost of hardcover books = $2y
Given Greg can spend a MAXIMUM of $20,
Cost of Paperback books + Cost of hardcover books must be at most 20.
Inequality of this situation =
[tex]x + 2y \leqslant 20[/tex]
Please help me and actually give me a proper answer pleaseeee I beg youuuu
Answers
Answer:
A
Step-by-step explanation:
To figure out when the object hit the ground you need to set h(t)=0, after this you need to find the number that when it is plugged in for t makes the equation equal to 0
h - c + what = h
help help
Answers
Answer:
h - c + c = h
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If you have H - C + ____ = H you would need something to cancel out C and I believe that would just be a positive C
f) 2(x +3) = 8 - 3 (x-4)
Answers
Answer: x = 14/5. Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5
Answer:
x = 2.8Step-by-step explanation:
2(x +3) = 8 - 3 (x-4)
=> 2x + 6 = 8 - 3x + 12
=> 2x + 3x = 8 - 6 + 12
=> 5x = 14
[tex] = > x = \frac{14}{5} [/tex]
=> x = 2.8 (Ans)
[tex]x {}^{2} - 2ax + a {}^{2} - b = 0[/tex]
Answers
Answer:
The answer is the last line.
Step-by-step explanation:
Use the quadratic formula
a = 1
b = -a
c = a^2 - b
x = -b +/- sqrt(b^2 - 4ac)
=================
2a
x = a +/- sqrt(a^2 - 4(1)*(a^2 - b)
========================
2
x = a +/- sqrt(a^2 - 4a^ + 4b)
=====================
2
x = a +/- sqrt(4b - 3a^2)
===================
2
What’s the answer and work for this? Someone please tell me
Answers
Answer:
The averages are equal, since both are 4.Step-by-step explanation:
2 + 4 + 6 = 12 / 3 = 4
Average of even numbers = 4
1 + 3 + 5 + 7 = 16 / 4 = 4
Average of odd numbers = 4
The averages are equal, since both are 4.
Hope that helps!