In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.
Answers
Step-by-step explanation:
we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem
the length of the side opposite the 30 angle is 17/2
talking about exercise on the photo the answer is
8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.
Now lets use pythagorean theorem
x^2+y^2=z^2
z is hypotenuse
8^2+y^2=16^2
64+y^2=256
y^2=256-64
y^2=192
y=8√3
Related Questions
15. To receive a B in his English class, Nicolas must have an average score of at least 84 on five
tests. He scored 90,91, 79, and 81 on his first four tests. What is the score range he can receive
on his last test and still receive a B in the class?
Answers
Answer:
(90+91+79+81+x)/5=84and 341+x=84*5and341+x=420and x=420-341 finally x=79
Find the point P that is 2/5 of the way from A to B on the directed line segment AB if A (-8, -2) and B (6, 19).
Answers
The location of the point P that is 2/5 of the way from A to B on the directed line segment AB if A(x, y) = (- 8, -2) and B(x, y) = (6, 19) is P(x, y) = (- 12/5, 32/5).
How to determine the location of a point within a line segment
By geometry we know that a line segment is generated from two distinct points set on a plane. The location of the point P within the line segment can be found by means of the following vectorial formula:
P(x, y) = A(x, y) + k · [B(x, y) - A(x, y)], 0 < k < 1 (1)
Where:
A(x, y) - Initial pointB(x, y) - Final pointk - Distance factorIf we know that A(x, y) = (- 8, - 2), B(x, y) = (6, 19) and k = 2/5, then the location of the point P is:
P(x, y) = (- 8, -2) + (2/5) · [(6, 19) - (- 8, -2)]
P(x, y) = (- 8, -2) + (2/5) · (14, 21)
P(x, y) = (- 12/5, 32/5)
The location of the point P that is 2/5 of the way from A to B on the directed line segment AB if A(x, y) = (- 8, -2) and B(x, y) = (6, 19) is P(x, y) = (- 12/5, 32/5).
To learn more on line segments: https://brainly.com/question/25727583
#SPJ1
Solve for X.
3(x + 2) = 7x + 6 - 4x
Answers
Hope this helps! (:
Answer:
(-∞,∞)
any value makes the equation true
(its infinite)
Step-by-step explanation:
3(x + 2) = 7x + 6 - 4x
distribute
3x + 6 = 7x + 6 - 4x
combine like terms
3x + 6 = 3x + 6
move the variable to the other side
0 + 6 = 6
move the 6
0 = 0
Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error
Answers
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the dying time of four different types of paint.
One-way ANOVA can be used to determine whether all the four paints have the same drying time.
Use Excel to perform the one-way ANOVA.
Go to Data → Data Analysis → Anova: Single Factor
A dialog box will open.
Select the data.
Select "Grouping" as Columns.
Press OK.
The output is attached below.
The required values are as follows:
(1)
Sum of Squares of Treatment (Between Subjects):
SST = 330
(2)
Sum of Squares of Error (Within Subjects):
SSE = 692
(3)
Mean Squares Treatment (Between Subjects):
MST = 110
(4)
Mean Squares Error (Within Subjects):
MSE = 43.25
HELP!!!! (zoom in to see it better)
Answers
Answer:
C and D
Step-by-step explanation:
The lines are parallel to eachother dont worry about what the lines is in the middle
for the second question, it is the same thing, the lines are both going straight
which means that they are parallel
Answer:
C and D
Step-by-step explanation:
Please help 60 Points!!!!!!!! my school is glitched :C
Answers
Answer:
its the two that are glitched because its not any of the other ones
Step-by-step explanation:
Answer:
reload
Step-by-step explanation:
Lucas owed his friend 12$. He got some money from babysitting and was able to pay his friend back $8. What is his balance now?
~find an equation to match this word problem and solve~
Plz i need it right now thanksss
Answers
Answer:
balance $4
Step-by-step explanation:
12 - 8 = 4
Answer:
$4
Step-by-step explanation:
$ = 12 - 8
12 - 8 = $4
Suppose you have some money to investfor simplicity, $1and you are planning to put a fraction w into a stock market mutual fund and the rest, , into a bond mutual fund. Suppose that $1 invested in a stock fund yields after 1 year and that $1 invested in a bond fund yields , suppose that is random with mean 0.07(%) and standard deviation , and suppose that is random with mean (%) and standard deviation . The correlation between and is . If you place a fraction w of your money in the stock fund and the rest, , in the bond fund, then the return on your investment is .
Answers
Answer and Step-by-step explanation:
Solution:
Given:
Mean = 0.08
Standard deviation = 0.07
W = 0.75
The return on investment is:
R = W * RS + (1 – W)*RB
Compute the mean and standard deviation:
Mean:
E(R) = E[ W X RS + (1 – W) X RB]
The mean of R is given:
µ = W * RS + (1 – W)*RB
= 0.75 X 0.08 + (1 – 0.75) 0.05
= 0.06 + 0.0125
= 0.0725
Variance:
Var (R) = var [ w x RS + (1 – W)RB]
Var (R) = W 2 Var (RS )+ (1 –W)2 Var (RB) + 2w (1-w)cov(RS , RB)
The standard deviation of R is given by:
∂2 = W2 X (0.07)2 + (1 – W) 2 X( 0.04)2 + 2 W (1 – W) X [0.07 X 0.04 X 0.25]
Where [0.07 X 0.04 X 0.25] is correlation between RS and RB.
PLEASE HEELP
Match the inverse, converse, contrapositive, and biconditional with their sentences.
Conditional Statement: If two angles are congruent, then they have the same measure.
Question 1 options:
converse
biconditional
inverse
contrapositive
1.
If two angles have the same measure, then they are congruent.
2.
If two angles are not congruent, then they do not have the same measure.
3.
If two angles do not have the same measure, then they are not congruent.
4.
Two angles are congruent if and only if they have the same measure.
Answers
Answer:
First, let's define each case:
A conditional statement is:
If P then Q.
P = hypothesis
Q = conclussion.
Converse: If Q then P.
Biconditional: P if and only if Q.
Inverse: If not P, then not Q.
Contrapositive: If not Q, then not P.
Our statement is:
"If two angles are congruent, then they have the same measure."
P = two angles are congruent.
Q = they have the same measure.
Now let's look at the options:
1) If two angles have the same measure, then they are congruent.
or: if Q then P, this is converse.
2) If two angles are not congruent, then they do not have the same measure.
or: If not P, then not Q, this is inverse.
3) If two angles do not have the same measure, then they are not congruent.
or: If not Q, then not P, this is the contrapositive.
4) Two angles are congruent if and only if they have the same measure.
or: P if and only if Q, this is biconditional.
Which of the following options best describes a line graph?
a) graph comparing quantities represented by bars
b) graph showing trends in categorical data
c) graph that displays the rate of change of two variables
d) graph comparing the rate of change of two or more quantities
Answers
Answer:
i hope im not to late but i think its c
❤
A line chart is a graph that shows the rate at which two variables evolve.
Option c) is correct.
Define Graph.A graph is a representation of the relationship among different sets of numbers or measures.
A graph is just a data structure made up of a finite number of nodes (or vertices) and the edges that link them.
A line chart is a graph that shows the rate at which two variables evolve.
So, option c) is correct.
Find out more information about graph here:
https://brainly.com/question/9794343?referrer=searchResults
simplify the expression and explain each step.
1. 4(3x + 2) -2
2. factor the expression completely 20b -16
please explain how to solve! will mark brainliest
Answers
Answer:
is the 3x a expression ill comment the awnser if is
Step-by-step explanation:
4p+2q=62
8p−q=59
Multiply 4p+2q=62 by 2, then subtract 8p−q=59 from the result.
Multiply 8p−q=59 by 2, then add the result to 4p+2q=62.
Do both strategies work for solving the system? If so why?
Answers
Answer:
3/2 and 6/9
Step-by-step explanation:
the teacher said i was right
The quadratic function modeling the height of a ball over time is symmetric about the line , where t is time in seconds. Which statement is true about this situation?
A.
The height of the ball is the same after 1 second and 3 seconds.
B.
The height of the ball is the same after 0 seconds and 4 seconds.
C.
The height of the ball is the same after 0.5 second and 5.5 seconds.
D.
The height of the ball is the same after 1.5 seconds and 3.5 seconds.
Answers
Answer:
A. The height of the ball is the same after 1 second and 3 seconds.
Step-by-step explanation:
The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.
find the square root of 625
Answers
Step-by-step explanation:
square root of 625 is 25
Carlos was baking 1,000 cookies for a yard sale. 3 people bought 82 cookies each. How many cookies does Carlos have left? Explain.
Answers
Answer: 754
Step 1: Multiply 82 x 3.
82 x 3 = 246.
Step 2: Subtract 246, because he sold this much cookies.
1,000 - 246 = 754
Answer = 754.
Hope this helps you!
Answer:
First we need to multiply 3x82. 3x82=246 now we need to subtract 246 from 1,000. 1,000-246=754
Step-by-step explanation:
In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.
Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.
Given:critical value= = 2.00
Answers
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
Step-by-step explanation:
From the question we are told that
The sample size is n = 54
The sample mean is [tex]\= x = 97.4[/tex]
The standard deviation is [tex]s = 18.0[/tex]
The population mean is [tex]\mu = 100[/tex]
The critical value is [tex]t_{critical } = 2.0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 97.4 - 100}{\frac{ 18}{\sqrt{54} } }[/tex]
=> [tex]t =-1.062[/tex]
Comparing the obtained t statistics with the critical value we see that
The critical value is not within the region of rejection (i.e -1.062 to 1.062 )
Hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
I need help please help me out .
Answers
4. Gabby ate 25 % of a whole pepperoni pizza.
Lebron ate 1/8 of the pizza.
What fraction of the pizza was left for Mohamed to eat?
Answers
Answer:
There is 5/8 left for Mohamed to eat.
Step-by-step explanation:
Let's put everything into fractions of 1/8. knowing that 25% is 1/4 or 2/8, 1/8 + 2/8= 3/8. and to find the answer, you need to subtract 3/8 from 8/8 or 1.
As a result, 5/8.
1/8 = 12.5%
12.5% + 25% = 37.5%
We need to know how much is left.
37.5% is gone, so 100% - 37.5% = 62.5%
62.5% is left for Mohamed to eat.
62.5% = 5/8.
5/8 of a pizza is left for mohamed to eat.
A producer plans an outdoor concert for the weekend. The cost of the concert is $8,000 which includes advertising, security, printing, tickets, etc. The producer plans to profit $15,000 if all goes well. However, it it rains, the concert will be canceled. The chance of rain is 0.3 according to the weather report. Find the producer’s expected profit.
Answers
Answer: $8,100
Step-by-step explanation:
If it does not rain, the producer stands to make a profit of $15,000.
If it rains, the producer will lose the $8,000 they invested.
The chance of rain is 0.3 which means the chance it does not rain is 0.7.
Producer's expected profit is the weighted average of these outcomes;
= (15,000 * 0.7) + ( -8,000 * 0.3)
= 10,500 + ( - 2,400)
= $8,100
select all of the lines that have a slope of 2/5
Answers
the slope 2/5 is written in the formula rise/run. So u can use this method to determine which line has a slope of 2/5.
140,562 rounded to the nearest thousands
Answers
Answer:
It's 141,000
Step-by-step explanation:
because 4 or lower doesn't raise the rounding up it stay's the same if it is 4 or lower. But 5 or more raises it up so anything five or more you can round up. They taught me that in 4th grade but now i'm in 6th grade wich is so hard.
does anyone know the answer to this question?
consider the sequence below. What are the next three terms in the sequence?
3, 7, 11, 15,....
Answers
Divide -3 3/4 divided by 3=?
Answers
The answer to your question is -1/4
Help with 50-52 pleaseeeee ASAP
Answers
Answer: -2
Step-by-step explanation:
Flip the equation around and subtract 52-50.
The answer will be 2 so put a negative sign in front since the larger number is being subtracted.
(sorry if this explanation sucks i'm not that good at explaining things)
What is the difference between the largest prime number less than 50 and the smallest com posite number greater than 10?
O 35
O 36
O 37
O 38
Answers
Answer:
prime numbers are those which can't be dividend for 2 and composites are the reverse of prime numbers so largest prime number <50 is 49 and smallest composite number >10 is 12 know we have got the numbers then by subtracting 12 from 49 we get 37
Answer:
37
Step-by-step explanation:
37
Please help!! Will give brainliest if correct!
If triangle RST is an equilateral triangle, find x and y.
A. x = 70, y = 35
B. x = 80, y = 40
C. x = 120, y = 30
D. x = 120, y = 40
Answers
Answer:
C.
Step-by-step explanation:
DUE IN 10 MINS HELP AS SOON AS POSSIBLE ASAP ILL GIVE BRAINLIEST!!
Answers
Answer:
m = -3
Step-by-step explanation:
First, find two clear points:
(1, -2) (0, 1)
Then, use the slope formula:
m = y2 - y1
x2 - x1
m = 1 - (-2)
0 - 1
= 3 = -3
-1
m = -3
This means that the rise-over-run is -3 over 1, or 3 over -1.
Which means three down and 1 to the right, or 3 up and 1 to the left.
Slope is the steepness of the line.
Question 16 (1 point)
Solve for X using Special Rights
X
13
y
1412
7
С
14
772
Answers
Answer:
d
Step-by-step explanation:
Which term describes −8/27?
Answers
Answer:
8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?
Step-by-step explanation:
8 /27
is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions :
Find the GCD (or HCF) of numerator and denominator
GCD of 8 and 27 is 1
Divide both the numerator and denominator by the GCD
8 ÷ 1
27 ÷ 1
Reduced fraction:
8 /27
Therefore, 8/27 simplified to lowest terms is 8/27.
Answer:
-8/27
Step-by-step explanation:
B. Solve the following Polynomials:
1. u³ + 64
Answers
Answer:
(4 + u)(16 – 4u + u2)
Step-by-step explanation:
64 + u3.
= 43 + u3.
= (4 + u)(42 – 4.u + u2).
= (4 + u)(16 – 4u + u2).