Answers
Answer:
Step-by-step explanation:
take theta as reference angle
tan theta=opposite/adjacent
=15/8
Answer:
option B
Step-by-step explanation:
First find opposite side using Pythagoras theorem:
[tex]17^2 = 8^2 + opposite^2 \\\\opposite^2 = 289 - 64 = 225\\\\opposite = 15[/tex]
Therefore,
[tex]tan \theta = \frac{opposite}{adjacent} = \frac{15}{8}[/tex]
Related Questions
Let 0 be an angle such that sec0= -13/12 and cot0<0. Find the exact values of tan0 and sin0.
Answers
Answer:
tan 0 = -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
On Friday night, the owner of Chez Pierre in downtown Chicago noted the amount spent for dinner for 28 four-person tables.
95 103 109 170 114 113 107 124 105 80 104 84 176 115 69 95 134 108 61 160 128 68 95 61 150 52 87 136
(a) Find the mean, median, and mode.
(b) Do these measures of center agree? Explain.
(c) Make a histogram or dot plot.
(d) Are the data symmetric or skewed? If skewed, which direction?
Answers
Answer:
median: 104.5
mean: 102.4
mode: 95
Step-by-step explanation:
A simple random sample of eight high school students' ACT scores gave the following data: What is a point estimate for μ, the mean test score for the population? a. A point estimate cannot be computed since the data for the whole population are not available. b. 235 c. 29.38 d. 4.84
Answers
Answer: c, is the correct option.
Step-by-step explanation:
The sample mean is the best point estimate for the population mean in a particular study.
Given data of scores: [tex]$\begin{array}{llllllll}27 & 30 & 20 & 29 & 28 & 36 & 34 & 31\end{array}$[/tex]
Sample mean = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]
[tex]=\frac{27+30+20+29+28+36+34+31}{8}\approx29.38[/tex]
Hence, a point estimate for μ, the mean test score for the population is 29.38
Thus , c. is the correct option.
girlcome 5324611502
p:1234
Answers
Answer:
Hi there! Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!
Step-by-step explanation:
Need help with this scatter plots question. How do I solve it?
Answers
Answer:
No Trend
Step-by-step explanation:
Scatter plots usually have 1 or 2 outlier points if they're to show a positive or negative trend. There is a kind-of negative trend in the graph, but for me personally, I think the outliers kind of cancel the pattern out since there's way to much other points around it. It can't be constant since constant means that the points have to be in one place, and obviously its not really the case here. Therefore, you're left with a no-trend graph!
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.
Answers
Answer:
total amount donated when aaron walks n miles = $2 + $3(n-1)
Step-by-step explanation:
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.
Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.
total amount sponsor pays = base donations + (additional miles walked after first mile x amount paid)
when Aaron walks 8 miles
additional miles = 8 - 1 = 7
23 = 2 + 7x
23 - 2 = 7x
x = 3
additional amount paid is $3
total amount donated when aaron walks n miles = $2 + $3(n-1)
If there are 82 students and they read 1000 books what is the average number of books the students read round it to the nearest whole number
Answers
Answer:
12 books read per student
Step-by-step explanation:
1000 divided by 82 is close to 12
Answer:
12 books
Step-by-step explanation:
Since there are 82 students who in total read 1000 books, we need to find how many books each student read. To do that; Divide the number of books read by the number of students who read those books. Then round your answer to the nearest whole number as an estimate. In otherwords, in "tenths place".
Step 1: Divide 1000 by 82
[tex]1000\div 82\\\\= \frac{1000}{82} \\\\= 12.1951219512[/tex]
Now to round up. To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up. Since the digit after our result is less than 5, we do nothing.
Step 2: Round [tex]12.1951219512[/tex] in the nearest whole number
[tex]12.1951219512 \\= 12[/tex]
Therefore, the average number of books the student read rounded to the nearest whole number is 12 books.
The perimeter of the figure below, in inches.
Answers
Answer:
just use a calculator and add all the numbers-
Step-by-step explanation:
add
An economist, an expert in the study of sales and production of goods and services, is interested in studying the average amount of money people spend, each month, on entertainment. For example, he wants to know how much people spend, each month, going to the movies, attending a concert, etc. His assistant conducted a poll of 500 randomly selected people across the country. He found a 95% confidence interval: $72 to $198. From this confidence interval the assistant concluded that people spend an average of $200 a month on entertainment. Is this a reasonable conclusion and why
Answers
Answer:
$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.
Step-by-step explanation:
95% confidence interval: $72 to $198.
This means that we are 95% sure that the true mean spending is between $72 and $198.
From this confidence interval the assistant concluded that people spend an average of $200 a month on entertainment. Is this a reasonable conclusion and why?
$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.
if two rectangles have the same area what do u know abt the measures of their sides
Answers
AB * AC = area
In another rectangle WXYZ
WX * WY = area
The sides must be equal or have same multiples and should be divisible by each other
The sum of two numbers is 12 . Their difference is 2 what are two numbers ?
Answers
Answer: 7 and 5
Step-by-step explanation:
I HOPE THIS HELPS
STAY SAFE!!!
Answer:
7 and 5
Step-by-step explanation:
7+5=12
7-5=2
On average, there are 177,000 cars on the road every hour in Los Angeles. 1 point
In March 2020, the coronavirus shutdown, resulted in Los Angeles having
80% fewer cars on the road. How many cars were on the road in March
2020 every hour in Los Angeles, after the 80% reduction?
Answers
Answer:
Number of cars on road in 2020 = 35,400 car
Step-by-step explanation:
Given;
Number of cars on road = 177,000
Decrease in cars on road in 2020 = 80%
Find:
Number of cars on road in 2020
Computation:
Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]
Number of cars on road in 2020 = 177,000[1-80%]
Number of cars on road in 2020 = 177,000[1-0.80]
Number of cars on road in 2020 = 177,000[0.20]
Number of cars on road in 2020 = 35,400 car
what is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? (2 points) a 1 b 2 c 6 d 7
Answers
Answer: a. 1
Step-by-step explanation:
Given data: 9, 7, 6, 8, 7, and 5.
Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean
mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]
[tex]=\frac{42}{6}\\\\=7[/tex]
Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]
[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]
[tex]MAD=\dfrac{6}{6}[/tex]
[tex]MAD=1[/tex]
Hence, the mean absolute deviation=1
Thus correct option is a. 1
A physical fitness association is including the mile run in its high school fitness test. The time for this event is known to possess a normal distribution with a mean of seconds and a standard deviation of seconds. Find the probability that a randomly selected high school student can run the mile in less than seconds. Round to four decimal places.
Answers
Answer:
This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.
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.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].
Find the probability that a randomly selected high school student can run the mile in less than X seconds.
This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.
A gymnasium floor is being covered by square shock-absorbing tiles. The new tiles are 2 inches larger in length and width than the old tiles. The new flooring will require only 600 tiles. What is the length of a side of one of the new shock-absorbing tiles
Answers
This question is incomplete, the complete question is;
A gymnasium floor is being covered by square shock-absorbing tiles.
The old gym floor required 864 square tiles. The new tiles are 2 inches larger in length and width than the old tiles. The new flooring will require only 600 tiles. What is the length of a side of one of the new shock-absorbing tiles
Answer:
Length of the side of one of the new shock-absorbing tiles is 12 inches
Step-by-step explanation:
Given the data in the question;
Since both the area for old tiles and new tiles are the same;
so Area of old tiles = Area of new tiles,
given that; The old gym floor required 864 square tiles and new flooring will require only 600 tiles as new tiles are 2 inches larger in length and width than the old tiles.
Now let the length of the sides of the square tiles be x
Area of a square = length × length = x × x = x²
So, Area of Old tiles = 864 × x² = 864x²
Area of New tiles = 600( x + 2 )²
= 600( x² + 4x + 4 )
= 600x² + 2400x + 2400
Now, Area of old tiles = Area of new tiles
864x² - 600x² - 2400x - 2400 = 0
264x² - 2400x - 2400 = 0
we find x
Using; x = [-b ±√( b² - 4ac )] / 2a
x = [-( -2400) ±√( (-2400)² - (4 × 264 × -2400 )] / 2( 264 )
x = [ 2400 ±√( 5760000 + 2534400) ] / 528
x = [ 2400 ±√8294400 ] / 528
x = [ 2400 ±2880 ] / 528
x = [ 2400 - 2880 ] / 528 or [ 2400 + 2880 ] / 528
x = [ -480 / 528 ] or [ 5280 / 528 ]
x = [ -0.909 ] or [ 10 ]
the length of the sides of the square tiles cannot be Negative
Hence, x = 10
Therefore, the length of a side of one of the new shock-absorbing tiles will be;
⇒ x + 2 = 10 + 2 = 12 inches
Length of the side of one of the new shock-absorbing tiles is 12 inches
Ignore the answer I put please help and I’ll give brainliest
Answers
Answer:
B.
Step-by-step explanation:
3/12 reduces to 1/4.
1/2 alone is greater than 1/4, so when 2/10 is added to 1/2, it is certainly greater than 3/12.
Answer: B.
The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
sub(H,0): Level of math is independent of/dependent on grade level.
sub(H,1): Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Honors Math Regular Math General Math
6th Grade
7th Grade
8th Grade
After running an independence test, can it be concluded that level of math is dependent on grade level?
Yes/No
Answers
Answer:
use Ma.thway it helps
Step-by-step explanation:
The table represents the balance of Fernando’s loan, y, over a period several months, x. He used technology to create the scatter plot shown and determine the best fit equation to model the data: y = -440.91x + 22,060.70. Determine how long it will take to reach the given balances.
Answers
Answer:
The balance of the loan will be approximately $15,000. - Month 16
The balance of the loan will reach $0. - Month 50
Type the correct answer in each box. Use numerals instead of words.
Simplify the following polynomial expression.
(5x2 + 133 – 4) - (17:2 + 74 - 19) + (50 – 7)(3x + 1)
1 2 -
+
Answers
Answer:
14
Step-by-step explanation:
The expression for the polynomial is A = 3x² - 10x + 8
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = ( 5x² + 13x - 4 ) - ( 17x² + 7x - 19 ) + ( 5x - 7 ) ( 3x + 1 ) = ax² - bx + c
Let's simplify the left-hand side of the equation using the distributive property and combining like terms:
A = (5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)
A = 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7
A = 3x² - 10x + 8
Now we have:
a = 3, b = -10, and c = 8
Hence , the final equation is A = 3x² - 10x + 8
To learn more about polynomials click :
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When 6 is subtracted from twice the
Sum of a number and 8 the result
is 5. Find the number.
Answers
2x + 8 = 11
2x = 3
x= 2/3
According to the question,
The equation will be:
[tex](2x + 8) - 6 = 5[/tex]By solving the bracket, we get
→ [tex]2x + 8 - 6 = 5[/tex]
→ [tex]2x +2 = 5[/tex]
By subtracting "2" from both sides, we get
→ [tex]2x+2-2= 5-2[/tex]
→ [tex]2x = 3[/tex]
[tex]x = \frac{3}{2}[/tex]
Thus the above answer is correct.
Learn more about equation here:
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okay so a circle has half a line of 11 in. , what's the circumference and area?? i'm not good at math and so confused
Answers
Answer:
C = 69.12 in.
A = 380.13 in.²
Step-by-step explanation:
Circumference of a circle is the length around the circle.
Circumference, C = 2πr
where,
Radius (r) = 11 in. (Given)
To find the circumference, substitute r = 11 into the circumference formula
C = 2*π*11
Input this into your calculator, you would get:
C = 69.1150384
C = 69.12 in. (Approximated to nearest hundredth)
Area = πr²
Plug in the value of r
A = π*11²
A = 380.132711
A = 380.13 in.² (to nearest hundredth)
what is the surface area in square inches of the prism
Answers
Answer: the answer is 25
Step-by-step explanation:
Help me please i need to hand this in
Answers
Hope this helps
A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
A.12 gallons
B.2.8 gallons
C.13 gallons
D.25 gallons
plss help no link im giving brainless i need it Asap
Answers
============================================================
Work Shown:
(150 miles)/(6 gallons) = (325 miles)/(x gallons)
150/6 = 325/x
150*x = 6*325 .... see note below
150x = 1950
x = 1950/150 .... divide both sides by 150
x = 13 gallons is the final answer
-----------
Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.
A baker makes a circular cake that has a radius of 7 inches. If
the baker wants to cover the top of the cake with frosting, how
much frosting should the baker use?
Answers
9514 1404 393
Answer:
154 in²
Step-by-step explanation:
The area of the cake top is given by the formula for the area of a circle.
A = πr²
Here, it is convenient to use the approximation π ≈ 22/7, so we have ...
A = (22/7)(7 in)² = 154 in²
The baker should use 154 square inches of frosting for the top of the cake.
Can someone help with this problem please.
Answers
The ball is 57 feet from the hole.
Explanation:
The distance from the tee to the hole is 181 yards.
Using the Pythagoras Theorem,
x^2 + 180^2 = 181^2
x^2 + 32400 = 32761
x^2 = 361
x = sqrt(361)
x = 19 yards
1 yard = 3 feet
x = 19 yards = 57 feet
According to the preamble to the constitution what is one purpose of government
Answers
Answer:
The Preamble states the six purposes of government to form a more perfect union; establish jusice; insure domestic tranquility;provide for the common defense; promote the general wefare; secure the blessings of liberty now and the future
Answer:
32 I just know it the answer
PLS HELP IF U WOULDNT MIND
Answers
Answer:
64 cm³
Step-by-step explanation:
The figure can be decomposed to two rectangular prism, one smaller person on top and one bigger prism beneath.
Volume = volume of smaller rectangular prism + volume of bigger rectangular prism
✔️Volume of smaller rectangular prism = L*W*H
L = 2 cm
W = 2 cm
H = 8 - 4 = 4 cm
V = 2*2*4
V = 16 cm³
✔️Volume of bigger rectangular prism = L*W*H
L = 6 cm
W = 2 cm
H = 4 cm
V = 6*2*4
V = 48 cm³
✔️Volume of the figure = 16 + 48 = 64 cm³
Marley has marbles of the same size and shape in a bag. There are 2 green, 5
blue, and 3 red marbles in the bag. Marley picks two marbles without looking.
What is the probability he will pick two red marbles?
a) 3/15
b)1/15
c) 3/50
d) 1/4
Answers
Answer:
B.) 1/15
Step-by-step explanation:
10 total marbles3/10 - 1/1 = 2/93/10 × 2/9 = 1/15Determine whether the following system is consistent or inconsistent and if it is independent or dependent.
Y=2x-3 and 2x-2y=2
Answers
9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is consistent and independent.
__
A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.