HELP PLEASE!!!!
By which rule are these triangles congruent?
A) AAS
B) ASA
C) SAS
D) SSS
Answers
Answer:
ASA
Step-by-step explanation:
Both triangles contains two angles which indicate that it can only be the top 2 options.
Related Questions
im in need of help for this problem (listing BRAINLIST and giving points) :)
Answers
I hope this is help full to you
Tan x=d/f
Cos x = f/e
Hope it helps!
please help! (listing BRAINLIST and giving points)
Answers
Hope it helps : )
Help ASAP 100 PTS!!!!
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly.
Answers
Answer:
39
Step-by-step explanation:
Find the value of f(x) at both points
f(3) = 3(3)³ + 1 = 82
f(1) = 3(1)³ + 1 = 4
---------------------------
Average Rate of Change is just like slope
Divide the change in f(x) by the change in x
r = (82 - 4) / (3 - 1)
r = 78/2
r = 39
Which of these fractions are equivalent to -3/2
Answers
You used (formula in screenshot) when calculating variance and standard deviation. An alternative formula for the standard deviation that is sometimes convenient for hand calculations is shown below. You can find the sample variance by dividing the sum of squares by n-1, and the sample standard deviation by finding the square root of the sample variance. Complete parts (a) and (b) below.
Answers
Answer:
[tex]Varianve = 3.842[/tex]
[tex]SD = 1.960[/tex]
Step-by-step explanation:
Given
See attachment for data
First, calculate [tex]\sum x^2[/tex]
[tex]\sum x^2 = 18^2 + 17^2 +20^2 + 19^2 + 20^2 + 16^2 + 16^2 + 15^2 + 18^2+14^2 +19^2 + 19^2+18^2+17^2 + 16^2+20^2+16^2+18^2+14^2+20^2[/tex]
[tex]\sum x^2 = 6198[/tex]
Calculate [tex]\sum x[/tex]
[tex]\sum x = 18 + 17 +20 + 19 + 20 + 16 + 16 + 15 + 18+14 +19 + 19+18+17 + 16+20+16+18+14+20[/tex]
[tex]\sum x = 350[/tex]
So, we have:
[tex]SS_x = \sum x^2 -\frac{(\sum x)^2}{n}[/tex]
[tex]SS_x = 6198 -\frac{350^2}{20}[/tex]
[tex]SS_x = 6198 -\frac{122500}{20}[/tex]
[tex]SS_x = 6198 -6125[/tex]
[tex]SS_x = 73[/tex]
Solving (a): The variance
[tex]Varianve = \frac{SS_x}{n-1}[/tex]
[tex]Varianve = \frac{73}{20-1}[/tex]
[tex]Varianve = \frac{73}{19}[/tex]
[tex]Varianve = 3.842[/tex]
Solving (b): The standard deviation
[tex]SD = \sqrt{Variance}[/tex]
[tex]SD = \sqrt{3.842}[/tex]
[tex]SD = 1.960[/tex]
At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?
Answers
Answer:
6 meters
Step-by-step explanation:
Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
To buy a car, you borrow $28,000 with a term of five years at an APR of 5%. What is your monthly payment? (Round your answer to the nearest cent.)
$
How much total interest is paid? (Round your answer to the nearest cent.)
$
Answers
9514 1404 393
Answer:
monthly payment: $528.39interest paid: $3,703.40Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where the annual interest rate is r for t years on loan value P.
Filling in the given information, we find the monthly payment to be ...
A = $28000(0.05/12)/(1 -(1 +0.05/12)^(-12·5)) ≈ $528.39
The monthly payment is $528.39.
__
The total amount repaid is ...
($528.39/mo)(60 mo) = $31,703.40
The interest paid is the difference between this and the loan amount:
interest paid = $31,703.40 -28,000 = $3,703.40
The total interest paid is $3,703.40.
Reeba is baking cookies for the bake sale. She bakes 3 ¾ dozen chocolate chip cookies to sell . If Reeba sells ⅔ of the cookies, how many cookies did she sell?
Answers
Answer:
30 cookies
Step-by-step explanation:
Reeba sells [tex]\frac{2}{3}[/tex] of [tex]3\frac{3}{4}[/tex] of 12 chocolate chip cookies.
Let us start by finding [tex]3\frac{3}{4}[/tex] of 12. We simply have to multiply the two numbers. However, it would be much easier if we had an improper fraction than a mixed number. Let us make [tex]3\frac{3}{4}[/tex] an improper fraction first.
[tex]3\frac{3}{4} =\frac{15}{4}[/tex]
Ok! Let's multiply.
[tex]\frac{15}{4} *\frac{12}{1} =\\15*3\\=45[/tex]
Ok, Reeba baked 45 cookies in total. We know that she sells [tex]\frac{2}{3}[/tex] of her baked cookies, so we can again multiply the two numbers.
[tex]\frac{2}{3} *\frac{45}{1} =\\2*15=\\30[/tex]
Therefore, Reeba sold 30 cookies.
I hope this helps! Let me know if you have any questions :)
Find the value of x.
Answers
9514 1404 393
Answer:
103
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°, so the measure of x° is ...
x° = 360° -127° -90° -40° = 103°
x = 103
Answer:
The measure of x is 103 °.
Step-by-step explanation:
Concept :- As we know that sum angles of quadrilateral is 360 ° so, to find the measure of x.
Firstly add all the angles that we have given and subtract from 360 ° and we get the vue of x.
Solution :-We know that The sum angles of quadrilateral is 360 ° , Hence, value of x =
x + 127 ° + 90 ° + 40 ° = 360 °
x + 257 ° = 360 °
Subtract 257 ° from 360 °
x = 360 ° - 257 °
x = 103 °
Therefore, The measure of x is 103 °.
At Bill’s Burger Barn, every time you buy a burger there is a one in eight chance of winning a free burger. Nicholas bought a hamburger every day for five days. What is the probability that Nicholas wins 1 free hamburger this week?
Answers
Answer:
im not sure about this one but my answer is 0.025.
Step-by-step explanation:
if there is a 1 out of 8 chance of getting a free burger, convert that into 1/8. divide that by 5 and you get 0.025.
10) -2(n - 6) = 20
please help!
Answers
Answer:
n = 1
Step-by-step explanation:
Answer:
n = -4
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(n − 6) = 20
Step 1: Simplify both sides of the equation.
−2(n − 6) = 20
(−2)(n) + (−2)(−6) = 20(Distribute)
−2n + 12 = 20
Step 2: Subtract 12 from both sides.
−2n + 12 − 12 = 20 − 12
−2n = 8
Step 3: Divide both sides by -2.
[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]
n = -4
Hope this helps, please mark brainliest if possible. Have a great day.
- ⅘ x = 8.....................
im actually in middle school btw dunno why it says college
Answers
Answer:
-10
Step-by-step explanation:
See image below:)
Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-4/5x = 8
Step 2: Solve for x
[Division Property of Equality] Divide -4/5 on both sides: x = 8 / -4/5Divide: x = -10
The yearbook staff receive 75 submissions for yearbook articles. Paul will acceptſ of all submissions. Currently, Paul plans for the yearbook to have 156
pages.
How many more pages will Paul need to add to the yearbook to have 2 articles on every 13 pages? Show your work and explain your thinking.
Answers
Answer:
The correct answer is - 332 pages.
Step-by-step explanation:
Given:
number of articles submissions - 75
number of pages in the yearbook on current plan = 156
pages required for two articles = 13 pages.
The number of pages to add = ?
Solution:
1 article takes pages in the yearbook = 13/2
= 6.5
the number of pages required for 75 articles = 75*6.5
= 487.5
The number of pages to add in the yearbook = 487.5 - 156
= 331.5 or 332.
Thus, the correct answer is - 332 pages.
What inequality is shown by the graph? (slope form)
Answers
Answer:
y < [tex]\frac{1}{4} x+3[/tex]
Step-by-step explanation:
(-4, 2) (4, 4)
4 - 2 = 2
4 - - 4 = 8
slope = 1/4
y intercept is 3 because the inequality goes up 3 units
Mathema
8. Leg XY of the right triangle shown in the
diagram below is twice as long as
leg YZ.
Z
Y
х
If the area of the triangle is 36 cm?, what
is the length, in cm, of leg XY?
(1)
6
(2)
9
(3)
12
(4)
18
(5)
24
Answers
9514 1404 393
Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
A cone-shaped paper drinking cup is to be made to hold 24 cm3 of water. Find the height and radius of the cup that will use the smallest amount of paper. (Round your answers to two decimal places.)
Answers
Answer:
I. Radius, r = 2.90 cm
II. Height, h = 4.10 cm
Step-by-step explanation:
Given the following data;
Volume of cone = 24 cm³
To find the height and radius of the cup that will use the smallest amount of paper;
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex] ......equation 1
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the formula, we have;
[tex] 36 = \frac{1}{3} \pi r^{2}h[/tex]
Multiplying both sides by 3, we have;
[tex] 108 = \pi r^{2}h[/tex]
Making radius, r the subject of formula, we have;
[tex] r^{2} = \frac {108}{ \pi h} [/tex]
Taking the square root of both sides, we have;
[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]
Mathematically, the lateral surface area of a cone is given by the formula;
[tex] LSA = \pi rl [/tex] ......equation 2
Where;
r is the radius of a cone
l is the slant height of a cone.
To find the slant height, we would apply the Pythagorean' theorem;
[tex] l = \sqrt {r^{2} + h^{2}} [/tex]
Substituting r into the above equation, we have;
[tex] l = \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]
Substituting the values of r and l into eqn 2, we have;
[tex] LSA = \pi * \sqrt { \frac {108}{ \pi h}} * \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]
Simplifying further, we have;
[tex] LSA = \sqrt {108} * \sqrt { \frac {\pi h^{3} + 108}{\pi h}} [/tex]
[tex] LSA = \sqrt {108} * \sqrt { \frac {108}{ h^{2}} + \pi h}} [/tex]
Next, to find the value of h, we differentiate the above mathematical equation with respect to h;
[tex] \frac {dS}{dh} = \sqrt {108} * (\pi - \frac {216}{h^{3}}) * (\pi h + \frac {108}{h^{2}}) [/tex]
Limiting [tex] \frac {dS}{dh} [/tex] w.r.t 0;
[tex] \frac {dS}{dh} = 0 [/tex]
[tex] (\pi - \frac {216}{h^{3}}) = 0 [/tex]
Rearranging the equation, we have;
[tex] \pi = \frac {216}{h^{3}} [/tex]
We know that π = 3.142
[tex] 3.142 = \frac {216}{h^{3}} [/tex]
Cross-multiplying, we have;
[tex] 3.142h^{3} = 216 [/tex]
[tex] h^{3} = \frac {216}{3.142} [/tex]
[tex] h^{3} = 68.75 [/tex]
Taking the cube root of both sides, we have;
Height, h = 4.10 cm
Lastly, we find the value of r;
[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]
[tex] r = \sqrt { \frac {108}{3.142 * 4.10}} [/tex]
[tex] r = \sqrt { \frac {108}{12.88}} [/tex]
[tex] r = \sqrt {8.39} [/tex]
Radius, r = 2.90 cm
The height and radius of the cup that will use the smallest amount of paper is;
Radius = 2.52 cm
Radius = 2.52 cmHeight = 3.58 cm
Let us first state some relevant formulas;
Volume of a cone is;
V = ⅓πr²h
Surface area of a cone is;
S = πrL
Where L is Slant height and has a formula;
L = √(h² + r²)
We are told that the cone is to hold 24 cm³. Thus; V = 24 cm³
24 = ⅓πr²h
πr²h = 72
r = √(72/πh)
Putting √(72/πh) for r in the Slant height equation gives;
L = √(h² + (72/πh))
Thus;
S = π × √(72/πh) × √(h² + (72/πh))
Differentiating with respect to h gives;
dS/dh = √72 × (π - 144/h³) × 1/√(πh + 72/h²)
At dS/dh = 0,we will have;
(π - 144/h³) = 0
Thus;
h³ = 144/π
h = 3.58 cm
Thus, from r = √(72/πh);
r = √(72/(π × 3.58))
r = 2.52 cm
Read more at; https://brainly.com/question/4405937
Need help with this please!
Answers
A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar
How much oil should kin use?Complete the Table
Answers
Answer:
36 ounces.
Step-by-step explanation:
The ratio being 24:8 can be simplified to 3:1
Multiply the one (the vinegar) by a factor of 12
What happens to one side has to happen to the other
12(3:1)
36 ounces.
Answer:36
Step-by-step explanation:
Suppose a binomial trial has a probability of success of 0.9, and 750 trials are
performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.
A. 13.69
B. 13.42
C. 8.22
D. 12.55
Answers
fine ,it is a A ok,I am sorry for using rude words on you
=
Evaluating an algebraic expression: Whole nu
Evaluate the expression when b=38 and c=8,
B/2+3c^2
Simplify your answer as much as possible.
Answers
9514 1404 393
Answer:
211
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic.
b/2 +3c^2 = 38/2 +3(8^2) = 19 +3·64 = 211
Answer:
211
Step-by-step explanation:
given : b = 38 and c = 8
Evaluate :
= b/2 + 3c²
= 38 / 2 + 3 ( 8 )²
= 19 + 3 × 64
= 19 + 192
= 211
A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary word with its corresponding example.
-
The average recovery time for all heart attack patients that the cardiologist has or will treat
-
All heart attack patients that the cardiologist has cared for or will care for in the future
-
The average recovery time for the 32 heart attack patients
-
The 32 heart attack patients who were observed by the cardiologist
-
The list of all 32 heart attack patients' recovery times
-
The recovery time for a heart attack patient
Answers
Answer: See explanation
Step-by-step explanation:
1. The average recovery time for all heart attack patients that the cardiologist has or will treat. = Parameter
2. All heart attack patients that the cardiologist has cared for or will care for in the future = Population.
3. The average recovery time for the 32 heart attack patients = Statistics
4. The 32 heart attack patients who were observed by the cardiologist = Sample
5. The list of all 32 heart attack patients' recovery times = Data
6. The recovery time for a heart attack patient. = Variable
pls help for both 12 and 13!!
Answers
Answer:
The answer to 12 is 40 cubic units
Step-by-step explanation:
Which of the following is an example of quantitative data?
A person's Zip Code
The color of your car
A Person's Height
A person's city of residence
Answers
Answer:
a person's height
Step-by-step explanation:
thing that you can count
Answer:
a person's height helpful answer
Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $690, how many of each denomination does he have?
How many $10 coins does he have?
How many $20 coins does he have?
Answers
Let x be number of $10 coins and y be number of $20 coins
x + y = 49. Number of coins
10x + 20y = 690. Value of coins
Multiply the first equation by 10
10x + 10y = 490
Subtract from the second equation
10y = 200
y = 20
Substitute into equation 1
x + 20 = 49
x = 29
in a system of equations why is the intersection the solution
Answers
9514 1404 393
Answer:
It satisfies both equations.
Step-by-step explanation:
The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).
In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.
For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.
A soup pot in the shape of a cylinder has a radius of 5 inches and a
height of 10 inches. How much soup can the pot hold? *
A) 750.8 cubic inches
B) 785.0 cubic inches
C) 525.7 cubic inches
D) 780.0 cubic inches
Answers
Answer:
B)785.0 cubic inches
Step-by-step explanation:
amount of soup the pot can hold is equal to its volume
Volume of a cylinder is πr²h
π(5inches)²x 10inches
785.39816339744830
~785.0 cubic inches
A stack of squares has 170 squares in the bottom row, 156 in the second row from the bottom, 142 in the third row from the bottom and 128 in the fourth row from the bottom. How many squares will there be in the 11th row from the bottom ? - a table always makes these sums easier!)
Answers
9514 1404 393
Answer:
30
Step-by-step explanation:
The sequence of square counts is ...
170, 156, 142, 128
The differences from one row to the next are ...
-14, -14, -14
We see that the differences are constant, so we know the sequence is an arithmetic sequence with first term 170 and common difference -14. This means the n-th term is ...
an = a1 +d(n -1) . . . . . . for first term a1 and common difference d
an = 170 -14(n -1)
For n=11, the number of squares is ...
a11 = 170 -14(11 -1) = 30
There will be 30 squares in the 11th row.
Write the point-slope form of the equation for a line that passes through (-1, 4) with a slope of 2.
The value of xt is
The value of yn is
The point-slope form of the equation is
Answers
Answer:
67 f
Step-by-step explanation:
$6300 is invested, part of it at 11% and part of it at 6%. For a certain year, the total yield is $533.00. How much was invested at each rate?
$___ was invested at 11%
Answers
Answer:
Invested at 11% : 3100
Invested at 6% : 3200
Step-by-step explanation:
let x= amount invested at 11%
let y= amount invested at 6%
we can write
Equation 1: x+y=6300
Equation2: .11x+.06y=533
Divide equation 2 by .06 to get
1.8333333x+y=8883.33333333
Subtract equation 2 from equation 1
.8333333x= 2583.33333333
x= 3100
Plug in x= 3100 into equation 1
3100+y= 6300
y= 3200
If the height of the tree trunk is 13 feet and the radius is 1.5 feet what is the volume in cubic feet round to the nearest 10th
Answers
Answer:
91.8 feet^3
Step-by-step explanation:
We can find out the area of a circle and then multiple that by the height to get the volume of the tree trunk (which is a cylinder).
Area of circle formula: pi x r^2
3.14 x 1.5^2 = 7.065
Now we can multiple it by the height and round to the nearest 10th.
7.065 x 13 = 91.845
91.845 -> 91.8
Hope this helps! Brainliest?
Answer:
Step-by-step explanation:
Givens
h = 13 feet
r = 1.5 feet
pi = 3.14
Equation
V = pi r^2 *h
V = 3.14 * 1.5^2 * 13
V = 91,8 cubic feet.
