Answers
==========================================================
Explanation:
Let's say that a = 25, b = 37 and c = 32 are the side lengths.
The uppercase letters A,B,C are opposite their lowercase counterparts.
That means angle A is opposite side a = 25
Apply the law of cosines to find angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
25^2 = 37^2 + 32^2 - 2*37*32*cos(A)
625 = 1369 + 1024 - 2368*cos(A)
625 = 2393 - 2368*cos(A)
625 - 2393 = -2368*cos(A)
-1768 = -2368*cos(A)
-2368*cos(A) = -1768
cos(A)= (-1768)/(-2368)
cos(A) = 0.746621621621622
A = arccos(0.746621621621622)
A = 41.7014263373247
A = 41.7
Related Questions
A pizza parlor advertises pizza options. They offer 7 toppings and allow up to 4 on each pizza. Write an expression that represents this situation.
A: 7!
B: 7!/3!
C: 7!/4!3!
D: 4!3!/7!
Answers
Explanation:
This is after using the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.
We use nCr instead of nPr because the order of the toppings doesn't matter.
sqrt x^ 2 +7 -2*=x-1
Answers
Which answer is it?
Answers
Answer:
C
Step-by-step explanation:
descending order of 2.061,0.66,2.612,6.21,2.62
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Answer:
Step-by-step explanation:
Descending order:
6.21 ; 2.62 ; 2.612 ; 2.061 ; 0.66
First see the whole number. write the number with biggest whole number.
6.21
2) Then three numbers have 2 . So, now compare the tenth place.
Two numbers have same place value 2.62 and 2.612.
Compare the hundredth place value in these two numbers.
So, 2.62
3) 2.612
4) 2.061
5) 0.66 is the smallest
For every 5 balloons in the sky, 2 of them will be rainbow. If there was 150 of them in the sky, how many would be rainbow?
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Cross multiply: 5x=300
Answer= 60 rainbow balloons
does anyone know the answer?
Answers
Answer:
x = 145
Step-by-step explanation:
The angles are same side exterior angle and same side exterior angles are supplementary
x +35 =180
Subtract 35 from each side
x = 180-35
x =145
Answer:
x=145
Step-by-step explanation:
180 -35 = 145
angle in a straight line add up to 180
x=145
F angle /corresponding angle are the same
The distance between points A and B is?
Answers
Answer:
√85
Step-by-step explanation:
A (-3 , 4) B (4 , -2)
AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85
AB = √85
Show that 0-58200-48826-5 is a valid UPC number.
Answers
Answer:
Proved
Step-by-step explanation:
Given
[tex]UPC = 0-58200-48826-5[/tex]
Required
Show that it is valid
Add up the elements at odd positions
[tex]Odd = 0 + 8 + 0 + 4+8+6[/tex]
[tex]Odd = 26[/tex]
Multiply by 3
[tex]Product = 26 * 3[/tex]
[tex]Product = 78[/tex]
Add up the elements at even positions
[tex]Even = 5 + 2 + 0 + 8 + 2 + 5[/tex]
[tex]Even = 22[/tex]
Add up both results
[tex]Result = 78 +22[/tex]
[tex]Result = 100[/tex]
Take modulus of 10
[tex]Result \% 10 = 100 \% 10[/tex]
[tex]Result \% 10 = 0[/tex]
Since the result of the modulus is 0, then the number is valid
how can the position of a certain value in a given set of data be described and used in solving real-life problems?
Answers
Percentiles
Assume that the elements in a data set are rank ordered from the smallest to the largest. The values that divide a rank-ordered set of elements into 100 equal parts are called percentiles.
An element having a percentile rank of Pi would have a greater value than i percent of all the elements in the set. Thus, the observation at the 50th percentile would be denoted P50, and it would be greater than 50 percent of the observations in the set. An observation at the 50th percentile would correspond to the median value in the set.
Quartiles
Quartiles divide a rank-ordered data set into four equal parts. The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively. The chart below shows a set of four numbers divided into quartiles.
Eight numbers: 1, 2, 3, 4, 5, 6, 7, 8
Note the relationship between quartiles and percentiles. Q1 corresponds to P25, Q2 corresponds to P50, and Q3 corresponds to P75. Q2 is the median value in the set.
While measures of central tendency, dispersion, and skewness are used often in statistics, there are other methods of characterizing or describing data distributions or portions that are commonly used as well. We will examine several of these statistical measures, some of which you may already know or have seen elsewhere.
Standard Scores (z-Scores)
A standard score (aka, a z-score) indicates how many standard deviations an element is from the mean. A standard score can be calculated from the following formula.
z = (X - μ) / σ
where z is the z-score, X is the value of the element, μ is the mean of the population, and σ is the standard deviation.
Here is how to interpret z-scores.
A z-score less than 0 represents an element less than the mean.
A z-score greater than 0 represents an element greater than the mean.
A z-score equal to 0 represents an element equal to the mean.
A z-score equal to 1 represents an element that is 1 standard deviation greater than the mean; a z-score equal to 2, 2 standard deviations greater than the mean; etc.
A z-score equal to -1 represents an element that is 1 standard deviation less than the mean; a z-score equal to -2, 2 standard deviations less than the mean; etc.
Three boys and four girls enter a contest at the local movie theater. A randomly chosen winner will be awarded a free movie ticket, a collectible poster, or free popcorn. What is the probability that a girl will win free popcorn?
A. 3/21
B. 4/21
C. 3/7
D. 4/7
Answers
Answer:
D. 4/7
Step-by-step explanation:
There are 7 people in people and there are 4 girls, that would be 4/7.
Solve for x.
2/5 ≤ x-4
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2/5 ≤ x-4
0.4 ≤ x-4
let's just add 4 on both sides
0.4 +4 ≤ x-4 +4
4.4 ≤ x
simple as that. just handle inequalities like you would handle equations
solve for X and Y. be sure to solve for both.
Answers
Answer:
x = 48; y = 13
Step-by-step explanation:
20/5 = 52/y
4 = 52/y
4y = 52
y = 13
20/5 = x/12
4 = x/12
x = 4 * 12
x = 48
Answer:
x = 48, y = 13
Step-by-step explanation:
Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48
If a line falls on the points (6,22) and (4,21), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar
Answers
Answer:
1/2
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = (y2-y1)/(x2-x1)
= (22-21)/(6-4)
= 1/2
Answer:
slope , m = 1/2
Step-by-step explanation:
We have two points which are ( 6,22) and (4,21).
To find slope , using slope formula
m = ( y² - y¹ ) / ( x ² - x ¹)
Where,
m, is the slope ( y² - y¹ ) = ( 22- 21 ) ( x ² - x ¹) = ( 6 - 4 )Substitute the values into the formula
m = ( 22 - 21 ) / ( 6 - 4 )
m = 1 / 2
What is the slope of the line
Answers
Answer:
below
Step-by-step explanation:
∆y/∆x
2.3/1.5
= 1.533
What is the value of x?
Answers
Answer:
i dont know but the answer will be 1From the classroom window, Melissa finds that the angle of elevation to the top of the flagpole is 22 degrees. Her teacher tells them that they are approximately 18 feet up from the ground and that the flagpole is 50 feet away from the building. What is the height of the flagpole based on this information to the nearest tenth of a foot?
Answers
Answer:30
Step-by-step explanation:
A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the calculator with a $100 bill?
Answers
Answer:
64 dollars
Step-by-step explanation: 120×30%= $36-$100= $64
She receives $16 when she pays for the calculator with a $100 bill
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A calculator which is marked at $120 is sold for cash at a 30% discount.
So, It was sold for 70% of its mark value assuming that to x.
∴ (70/100)×120 = x.
x = $84.
So, Susan will receive $(100 - 84) = $16.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
Jane and Tannic split the cost of buying a video game. The game costs$25, and the sales is 6% markup. How much do they each pay?
Answers
Given:
The cost of game = $25
Sales markup = 6%
To find:
How much do they each pay?
Solution:
The sales markup is 6% of the cost.
[tex]\text{Sales markup}=25\times \dfrac{6}{100}[/tex]
[tex]\text{Sales markup}=1.5[/tex]
Now, the total cost after sales markup is:
[tex]25+1.5=26.5[/tex]
Jane and Tannic split the cost of buying a video game. It means they divide the cost in two equal parts. So, the amount paid by each one is
[tex]\dfrac{26.5}{2}=13.25[/tex]
Therefore, Jane and Tannic will pay $13.25 each .
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answers
Answer: -9/2
Step-by-step explanation:
Answer:
x = -9/2
Step-by-step explanation:
Use the law of exponents
(a^p)^q = a^(pq)
here on the left-hand-side
a=3
p=3
q=2x+6
so
(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)
The right-hand-side = 3^(2x)
Equate exponents of both sides
6x+18 = 2x
6x-2x = -18
4x = -18
x = -9/2
pls answer this for me now
Answers
Answer:
(3) 48
Step-by-step explanation:
The angle inside the ABC one is two times its angle size
A $108,000 down payment would be? of the purchase price.
Answers
Answer: 45%
Step-by-step explanation:
You need to purchase price to answer this question and I believe that purchase price to be $240,000.
The question wants to know the percentage of the purchase price that the down payment is and to find that out, use the following formula:
= Down payment / Purchase price * 100%
= 108,000 / 240,000 * 100%
= 45%
Answer:
45%
Step-by-step explanation:
.......................
Please helpbajshsjs please anyways thanks a lot
Answers
Answer:
225 cm cubed
Step-by-step explanation:
(1/2•base)•height
Please help me as fast as you can
Answers
Answer:
0.99
Step-by-step explanation:
divide 6.93 by 7.
= 0.99
Step-by-step explanation:We have the equation:
6.93 ÷ 7 = ?
[tex]\left[\begin{array}{ccccccc}&&0.&9&9\\7&&6.&9&3\\&&-&6&3\\\left&&&&6&3\\&&&-&6&3\\&&&&&0\end{array}\right][/tex]
0 . 9 9 ↑ 7 6 9 3 −6 3 ↓ 6 3 −6 3 0Comes with a picture
multiple-choice answer please help I need immediate help
Thank youuuu
Answers
Answer:
The answer is A. 31,250.
Step-by-step explanation:
To solve for the 7th term in the geometric sequence, start by plugging 7 into the explicit formula, and the formula will look like [tex]a_{7}=2*5^{(7-1)}[/tex].
Next, subtract 1 from 7, and the formula will look like [tex]a_{7}=2*5^{6}[/tex].
Then, raise 5 to the power of 6, which will look like [tex]2*15625[/tex].
Finally, multiply 2 by 15,625, and the answer will be 31,250.
which equation has x=4 as the solution
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-4х + 5y=— 28
4x – 3y = 20
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I hope it's correct and it helps I don't know how to explain it lol
5 mins left!!!!!!!!
Does the residual plot show that the line of best fit is appropriate for the data?
No, the points are in a curved pattern.
No, the points are evenly distributed about the x-axis.
Yes, the points are in a linear pattern.
Yes, the points have no pattern.
Answers
Answer:
No, the points are evenly distributed about the x-axis
Step-by-step explanation:
Hope its right , if not so advance sorry :)
*SHOW STEPS PLEASE* You can verify the zeros of the function y=x^2+6x-7 by using a graph and finding where the graph ________
a) is at a maximum.
b) is at a minimum.
c) crosses the y-axis.
d) crosses the x-axis
Answers
Someone please help me with this lol… have no idea what I’m doing
Answers
Given:
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
To find:
The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].
Solution:
We know that,
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II: Only sin and cosec are positive.
In Quadrant III: Only tan and cot are positive.
In Quadrant IV: Only cos and sec are positive.
It is given that,
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.
We know that,
[tex]\sin^2\theta +\cos^2\theta =1[/tex]
[tex]\sin^2\theta=1-\cos^2\theta[/tex]
[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]
It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,
[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]
After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get
[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]
[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]
[tex]\sin \theta=-\dfrac{4}{5}[/tex]
Therefore, the correct option is B.
can anyone help with these four⁉️ Will mark brainliest:D !!
Answers
Answer:
Step-by-step explanation: