Step-by-step explanation:
Three coordinates of triange are given to us and we need to find its perimeter . We know that perimeter is the sum of all sides . Lets find the distance between each sides using distance formula .
• Distance between A and B :-
[tex]\tt\to D_{(AB)} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\tt\to D_{(AB)} =\sqrt{(3-2)^2+(4-4)^2}\\\\\tt\to D_{(AB)} =\sqrt{( 1^2+0^2 )} \\\\\tt\to D_{(AB)} =\sqrt{1} \\\\\tt\to \boxed{\orange{\tt D_{(AB)} = 1\ units }}[/tex]
_________________________________
• Distance between A and C :-
[tex]\tt\to D_{(AC)} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\tt\to D_{(AC)} =\sqrt{(3-2)^2+(4+4)^2}\\\\\tt\to D_{(AC)} =\sqrt{( 1^2+8^2 )} \\\\\tt\to D_{(AC)} =\sqrt{65} \\\\\tt\to \boxed{\orange{\tt D_{(AC)} = \sqrt{65}\ units }}[/tex]
_________________________________
• Distance between C and B :-
[tex]\tt\to D_{(CB)} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\tt\to D_{(CB)} =\sqrt{(3-3)^2+(4+4)^2}\\\\\tt\to D_{(CB)} =\sqrt{( 8^2+0^2 )} \\\\\tt\to D_{(CB)} =\sqrt{65} \\\\\tt\to \boxed{\orange{\tt D_{(CB)} = \sqrt{65}\ units }}[/tex]
Hence the total perimeter will be ,
[tex]\to\tt D_{(AB)}+D_{(BC)}+D_{(CA)}\\\\\tt\to \sqrt{65}+\sqrt{65}+1 \\\\\tt\large\to\underline{\boxed{\green{\tt 1 +2\sqrt{65} \:\:units }}}[/tex]
At the play, sodas cost $2 and popcorn cost $3 during intermission. If your group bought a total of 18 items ar
spend $47, how many popcorns and how many sodas did you buy?
Will give brainly also no links
Answer:
7 sodas and 11 popcorns
Step-by-step explanation:
7 times 2 is 14
11 times 3 is 33
14+33= 47
They bought 18 items
Suppose that a home mortgage company has N mortgages numbered serially in the order that they were granted over a period of 20 years. There is a generally increasing trend in the unpaid balances because of the rising cost of housing over the years. The company wishes to estimate the total amount of unpaid balances. Would you employ a systematic or simple random sample
Answer:
A systematic sample
Step-by-step explanation:
since there is an increasing trend in the unpaid balances because of the rising cost of housing the best approach is A systematic sample.
A systematic sample is preferred because it will capture the individual debts over the period of 20 years (i.e. the whole 20 years of mortgages ) while a simple random sample will just capture a certain period and its result will not represent the true nature of indebtedness .
help me
if i ned hellp
Answer:
The answer is B or 96!!
Step-by-step explanation:
Brainliest Please!
Answer:
Solution given:
total area of triangular prism=perimeter of base×height +2×area of traingle
={3+5+4)7+2(1/2×4×3}
=96in²
can somebody please help me out ?
Answer:
30
Step-by-step explanation:
238,900/7,917=30.1755
Answer:
30
Step-by-step explanation:
You divide the distance to the Earth's diameter:
238,900/7,917=30
please put it in simplest radical form and rationalize the denominators
B=
A=
Answer:
a = 36√3
b = 36
Step-by-step explanation:
Reference angle = 30°
Opposite = b
Adjacent = a
Hypotenuse = 72
✔️To find a, apply CAH:
Cos 30° = Adj/Hyp
Cos 30° = a/72
a = Cos 30° × 72
a = √3/2 × 72 (cos 30° = √3/2)
a = √3 × 36
a = 36√3
✔️To find b, apply SOH:
Sin 30° = Opp/Hyp
Sin 30° = b/72
b = Sin 30° × 72
b = 1/2 × 72 (sin 30° = ½)
b = 36
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If X machines are made, then the unit cost is given by the function C(x)=0.7x^2-462x+88218 .
What is the minimum unit cost?
Answer:
$11988
Step-by-step explanation:
Given that,
The unit cost is given by :
[tex]C(x)=0.7x^2-462x+88218[/tex]
We need to find the minimum unit cost.
For minimum cost,
Put [tex]\dfrac{dC}{dx}=0[/tex]
So,
[tex]\dfrac{d}{dx}(0.7x^2-462x+88218)=0\\\\1.4x-462=0\\\\x=\dfrac{462}{1.4}\\\\x=330[/tex]
Put x = 330 in equation (1).
[tex]C(330)=0.7(330)^2-462(330)+88218\\\\=\$11988[/tex]
So, the minimum unit cost is equal to $11988.
How many favorable outcomes will there be for spinning blue at least once?
(I NEED HELP PLEASE)
Answer:
It depends on the spinner and how many of each color spaces are on it.
Step-by-step explanation:
A favorable outcome means an outcome that matches your criteria.
Example: You spin a spinner with 10 spaces. 3 blue, 2 red, 3 green, 2 yellow.
If you spin the spinner once, there are 3 favorable outcomes (remember a favorable outcome means landing on blue in this case).
Spinning the spinner twice would lead to at least 100 outcomes, 9 of which are favorable.
Data from a 2006 GSS subsample show that the mean number of children per respondent was 1.87, with a standard deviation of 1.64. A total of 1,494 people answered this question. Estimate the population mean number of children per adult using a 90% confidence interval. We our 90% confident that the population mean number of children per adult is between to . Please round to the nearest tenth For example, rounding 0.843 to the nearest tenth would give 0.8.
Answer:
We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.
Step-by-step explanation:
The confidence interval for population mean is given by:-
[tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where n= sample size, [tex]\overline{x}[/tex] = sample mean, z* = critical value for confidence level, [tex]\sigma[/tex]= standard deviation.
z* for 90% confidence level = 1.645
As per given, the required confidence interval is
[tex]1.87\pm (1.645)\dfrac{1.64}{\sqrt{1494}}\\\\\approx1.87\pm0.070\\\\=(1.87-0.07,\ 1.87+0.07)\\\\=(1.8, 1.94)[/tex]
Hence, We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.
middle school math problem
Answer:
12%
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
NEED HELP FOR HOMEWORK: Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F' G′ H′ J′.
Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F' G′ H′ J′?
A. (x, y) à (x - 2, y + 1)
B. (x, y) à (1.4x , 1.4y)
C. (x, y) à (x + 1, y + 2)
D. (x, y) à (5/7x, 5/7y)
Answer:
B
Step-by-step explanation:
Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B
Attempt 1 of 2
<< <
1
2
Find the vertices for the ellipse with the given equation.
x2 + 9y2 + 2x + 18y + 1 = 0
Answer:
is this quadratic equation
What symmetry is this shape?part a
a. Reflection symmetry
b. Rotational symmetry
c. Translation symmetry
d. This figure is not symmetrical
Answer:
b. Rotational symmetry
Step-by-step explanation:
Hope it helps you in your learning process
Find the length of side x in simplest radical form with a rational denominator.
[tex]x = \frac{7 \sqrt{3} }{2} \\ [/tex]
Explain.
[tex] \frac{7}{x} = \frac{2}{ \sqrt{3} } \\ [/tex]
[tex]7 \times \sqrt{3} = 2 \times x[/tex]
[tex]7 \sqrt{3} = 2x[/tex]
[tex] \frac{7 \sqrt{3} }{2} = x \\ [/tex]
[tex]x = \frac{7 \sqrt{3} }{2} \\ [/tex]
.
.
#LearnWithBrainly
GAK BISA BAHASA INGGRIS1 +
+ '2+3+ - + = no +1
그
Answer:
t = 1/2n-6, nER
Step-by-step explanation:
Julieta mastered 17 of of the last 20 exit tickets on the first try what percent of the exit tickets did she Master on the first try?
Answer:
Julieta mastered 85% of the exit tickets on the first try.
Step-by-step explanation:
Julieta mastered 17 of 20 total exit tickets
17 ÷ 20 = 0.85
0.85 = 85%
pls me with this maths assignment
Answer:
56ft
Step-by-step explanation:
5+4+12+11+16+8=56
Sam loaned $8,000 to his brother to make a down payment on a new home. Three
years later, he paid her back the $8,000 along with an interest of $900. If the
interest that was collected was simple interest, what was the annual interest rate?
Round answer to two decimal places.
I need help this one someone please I will Mark someone brainliest and if you post any links I will report you.
Answer:
$1,200 interest.
Step-by-step explanation:
To use the simple interest formula, I = Prt, we substitute in the values for variables that are given, ... Do you know that banks pay you to let them keep your money? ... Find the rate if a principal of $9,000 earned $1,755 interest in 3 years. ... Five years later, she paid him back the $8,000, plus $1,200 interest.
What is the volume of the sphere below?
1.5
O A.
I units3
O B.
17 units 3
units3
500
3
RE
I units3
Answer:
ans is (D)500/3 π unit^3
Explanation :
Formula for volume of sphere is 4/3 π r^3 .
The volume of the sphere below is 500π/3 units³, the correct option is D.
What is the volume of sphere?
If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
Suppose that radius of the considered sphere is of 'r' units.
Then, its surface area S would be:
[tex]S = 4\pi r^2 \: \rm unit^2[/tex]
We are given that;
The radius = 5
Now,
The volume of a sphere is given by the formula V = ⁴⁄₃πr³, where r is the radius of the sphere1. To find the volume of a sphere whose radius is 5 units, you need to plug in r = 5 into the formula and simplify it using arithmetic operations.
V = ⁴⁄₃πr³
V = ⁴⁄₃π(5)³
V = ⁴⁄₃π(125)
V = (4)(125)π/3
V = 500π/3
Therefore, by the volume of sphere formula the answer will be V = 500π/3 units³.
Learn more about volume of a sphere here:
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A contractor decided to build homes that will include the middle 80% of the market. If the average size of homes built is 1810 ft2 with a standard deviation of 92 ft2, find the maximum and minimum sizes of the homes the contractor should build. Assume that the size of homes is normally distributed.
Answer:
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
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.
The average size of homes built is 1810 ft2 with a standard deviation of 92 ft2
This means that [tex]\mu = 1810, \sigma = 92[/tex]
Middle 80%:
Between the (100-80)/2 = 10th percentile and the (100+80)/2 = 90th percentule.
Minimum size:
The 10th percentule, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = -1.28*92[/tex]
[tex]X = 1692.24[/tex]
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
Maximum size:
The 90th percentule, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = 1.28*92[/tex]
[tex]X = 1927.76[/tex]
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
hi can you please help me with my work
Answer:
3 expodent 12
Step-by-step explanation:
Jasmine likes to set placemats out on her dining room table. Her favorite placemats are circular. Each one has a radius of 5 inches. What is the area of each placemat to the nearest tenth of a square inch?
Answer:
The answer is half of 5 to the nearest 10th
Step-by-step explanation:
What is the area of kite QRST? If necessary, round to the nearest tenth.
Answer:
its 17 I have the same one I got my quiz and I saw that we had different answers and the only same one we had was 17
Step-by-step explanation:
...........................
Answer:
.. .. .. .. .. .... . ..
Step-by-step explanation:
... .... .. .. ..
PLEAES HELP 80 POINTS with branily I really need help and I will be forever in det to the person that helped me Bec this Is 40% of my grade And please don't steal my points I need them in doing a give away soon. :)
On the coordinate plane shown below, points
G and I have coordinates (6,4) and (3,2) , respectively.
1)Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I
2) on a coordinate plane. Use complete sentences to describe the strategy.
Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
Use the distance formula and the coordinates of points
G and I
3) to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:
sorry wanted pionts
Step-by-step explanation:
umm sorry
Answer: :Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
different approaches of Pythagoras theorem - Brainly.in
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13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
Question 7Partially correct answer. Your answer is partially correct. Try again.An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.(a) Is there evidence that the success rate is greater for longer tears
This question is incomplete, the complete question is;
An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.
a) Is there evidence that the success rate is greater for longer tears? Use alpha=0.05
Answer:
P-value = 0.6443
Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.
Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ = [tex]p[/tex]₂
Step-by-step explanation:
Given the data in the question;
Sample of tears greater than 25;
number of successive repairs X₁ = 13
number of repair n₁ = 19
proportion of successive repairs [tex]p[/tex]₁ = 13/19 = 0.68
q₁ = 1 - [tex]p[/tex]₁ = 1 - 0.68 = 0.32
Sample of tears shorter than 25;
number of successive repairs X₂ = 22
number of repair n₂ = 30
proportion of successive repairs [tex]p[/tex]₂ = 22/30 = 0.73
q₂ = 1 - [tex]p[/tex]₂ = 1 - 0.73 = 0.27
so;
H₀ : There is no significant difference in the successive proportions; [tex]p[/tex]₁ = [tex]p[/tex]₂
Hₐ : The successive rate is greater for longer tears [tex]p[/tex]₁ >
Significance level ∝ = 0.05
Test Statistics
Z = ([tex]p[/tex]₁ -
so we substitute
Z = ( 0.68 - 0.73 / √[ (0.68 ×0.32 / 19) + ( 0.73×0.27 / 30 ) ]
Z = -0.05 / √[ 0.01802 ]
Z = -0.05 / 0.1342
Z = -0.37
P-value for the given test, p = P( Z > -0.37 )
= 1 - P( Z ≤ - 0.37 )
= 1 - 0.35569
P-value = 0.6443
Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.
Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ = [tex]p[/tex]₂
What is the distance between J and K
Answer:
9 i think
Step-by-step explanation:
i don really know
Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal places.Write only the formula down.. Single line text.
Answer:
44.04°
Step-by-step explanation:
We would use the Law of Sines, [tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} =\frac{sin(C)}{c} [/tex]
Applying the formula, let's find b°:
Thus:
[tex] \frac{sin(b)}{3.6} = \frac{sin(100)}{5.1} [/tex]
Cross multiply
[tex] sin(b)*5.1 = sin(100)*3.6 [/tex]
Divide both sides by 5.1
[tex] sin(b) = \frac{sin(100)*3.6}{5.1} [/tex]
[tex] sin(b) = 0.69516 [/tex]
[tex] b = sin^{-1}(0.69516) [/tex]
b = 44.0399685° ≈ 44.04° (2 decimal places)
Solve the following problem then write your answer before the number.
1.)Rizza started cycling at 7:15 a.m. By 7:35 a.m,she had covered a distance of 9km.Find his average speed in km/h.
2.)A car left Barretto at 10:50 a.m and reached Pampanga at 2:20 p.m.its average speed was 84 km/h.Find the distance between Barretto and Pampanga.
3.)Aaron travalled 210 km at a uniform speed of 60 km/h.How long was his travel?
Answer:
1) Rizza's average speed is 27 km/h.
2) The distance between Barretto and Pampanga is 294 km.
3) Aaron's journey was 3.5 hours long.
Step-by-step explanation:
1) Time taken to cove the distance = 20 minutes
60 minutes = 1 hour
So that, 20 minutes = [tex]\frac{20}{60}[/tex] hours
= [tex]\frac{1}{3}[/tex] hours
Distance covered = 9 km
But,
speed = [tex]\frac{distance covered}{time taken}[/tex]
Rizza's average speed = 9 ÷ [tex]\frac{1}{3}[/tex]
= 9 x 3
= 27 km/h
Rizza's average speed is 27 km/h.
2) Time taken = 3.5 h
the car's average speed = 84 km/h
Distance between Barretto and Pampanga = average speed x time taken
= 84 km/h x 3.5 h
= 294 km
The distance between Baretto and Pampanga is 294 km.
3) The uniform speed implies that Aaron did not accelerate during his journey.
Distance covered = 210 km
uniform speed = 60 km/h
time taken = [tex]\frac{distance covered}{speed}[/tex]
= [tex]\frac{210}{60}[/tex]
= 3.5 hours
Aaron's journey was 3.5 hours long.
what is the slope of line parallel to the line q?
A. 1/3
B. -3
C. -1/3
D. 3
Answer:
C
Step-by-step explanation:
The line is negative therefore the slope will be negative.
The line goes down 1 and over 3 to get to the next even point.
-1/3 = slope
Let {an} be a sequence that satisfies the recurrence relation an = an-1 + 3 for n = 1, 2, 3, ... , and suppose that a0 = 2. What are a1, a2, and a3? Show your solution.
Given:
[tex]a_n=a_{n-1}+3[/tex]
[tex]a_0=2[/tex]
To find:
The values [tex]a_1,a_2,a_3[/tex].
Solution:
We have,
[tex]a_n=a_{n-1}+3[/tex]
For [tex]n=1[/tex],
[tex]a_1=a_{1-1}+3[/tex]
[tex]a_1=a_{0}+3[/tex]
[tex]a_1=2+3[/tex]
[tex]a_1=5[/tex]
For [tex]n=2[/tex],
[tex]a_2=a_{2-1}+3[/tex]
[tex]a_2=a_{1}+3[/tex]
[tex]a_2=5+3[/tex]
[tex]a_2=8[/tex]
For [tex]n=3[/tex],
[tex]a_3=a_{3-1}+3[/tex]
[tex]a_3=a_{2}+3[/tex]
[tex]a_3=8+3[/tex]
[tex]a_3=11[/tex]
Therefore, [tex]a_1=5,a_2=8,a_3=11[/tex].
The value of [tex]\rm a_1=5[/tex], [tex]\rm a_2=8[/tex], and [tex]\rm a_3=11[/tex] and this can be determined by using the arithmetic operations and the given data.
Given :
Let {an} be a sequence that satisfies the recurrence relation [tex]\rm a_n=a_{n-1}+3[/tex] for n = 1, 2, 3,... and suppose that [tex]\rm a_0=2[/tex].
According to the given data, the recurrence relation is given below:
[tex]\rm a_n=a_{n-1}+3[/tex] --- (1)
Now, substitute the value of (n = 1) in the above expression.
[tex]\rm a_1=a_{1-1}+3[/tex]
[tex]\rm a_1=a_{0}+3[/tex] (put [tex]\rm a_0=2[/tex])
[tex]\rm a_1=2+3[/tex]
[tex]\rm a_1=5[/tex]
Now, substitute the value of (n = 2) in the expression (1).
[tex]\rm a_2=a_{2-1}+3[/tex]
[tex]\rm a_2=a_{1}+3[/tex] (put [tex]\rm a_1=5[/tex])
[tex]\rm a_2=5+3[/tex]
[tex]\rm a_2=8[/tex]
Now, substitute the value of (n = 3) in the expression (1).
[tex]\rm a_3=a_{3-1}+3[/tex]
[tex]\rm a_3=a_{2}+3[/tex] (put [tex]\rm a_2=8[/tex])
[tex]\rm a_3=8+3[/tex]
[tex]\rm a_3=11[/tex]
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