for positive acute angles A and B it is known that cos A = 40/41 and tan B = 5/12. find the value of sin(A-B) in simplest form
Answer:
33/16 hope this helps
Step-by-step explanation:
Find the slope of a line parallel to the line containing (-6.1) and (3,-2).
Find the range
3, 20, 3,5,7
Answer:
17
Step-by-step explanation:
Range is the largest number minus the smallest number. In this case, you would do 20 - 3 and get the answer of 17.
Answer:
resta el valor mínimo del valor máximo para obtener el rango 20-3=17
What is the solution to the system x+y=10 3y=-3x+30
PLEASE helpppp
Answer:
Step-by-step explanation:
x+y=10
x=10-y
x=10-5
x=5
3y= -3x+30
3(10-y)= -3(10-y)+30
30-3y= -30+3y+30
30+30-30=6y
30=6y
y=5
11 3/4 x 15 3/4 ?????????
Answer:
185 1/16
Step-by-step explanation:
f(1) if f(x) = x + 3
solve for each variable i don’t need work shown just the answers please thank you very much i have 2 hours to get this done
Answer:
[tex](a)[/tex]
[tex]x = 18.5[/tex]
[tex]y = 22.5[/tex]
[tex](b)[/tex]
[tex]x = 10[/tex]
Step-by-step explanation:
Solving (a):
7x - 19 and 3x + 14 are interior angles.
So:
[tex]7x - 19 + 3x +14 = 180[/tex]
Collect like terms
[tex]7x + 3x = 180 - 14 + 19[/tex]
[tex]10x = 185[/tex]
[tex]x = 18.5[/tex]
7x - 19 and 5y - 2 are equal angles --- corresponding angles
So:
[tex]5y - 2 = 7x - 19[/tex]
Make 5y the subject
[tex]5y = 7x - 19+2[/tex]
5y = 7x -17
Make y the subject
[tex]y = \frac{1}{5} (7x - 17)[/tex]
Substitute [tex]x = 18.5[/tex]
[tex]y = \frac{1}{5} (7*18.5 - 17)[/tex]
[tex]y = \frac{1}{5} (112.5)[/tex]
[tex]y = 22.5[/tex]
Solving (b):
The triangle is right-angled.
So:
[tex]5x + 3 + 2x + 17 + 90 = 180[/tex]
Collect Like Terms
[tex]5x + 2x = 180 - 90 - 17-3[/tex]
[tex]7x = 70[/tex]
[tex]x = 10[/tex]
Multiply (2× +4)(×- 4)
Answer: 2x^2-4x-16
Step-by-step explanation:
Answer: x^4 - 16
Step-by-step explanation:
please help i’ll give you brainlest asap and please help me get this right!!
Answer:
X = 120
Y = 60
.......................
Answer:
x=120
y=60
Step-by-step explanation:
So it states that this is an equilateral triangle which means that all of the angles in this triangle or the same
the sum of all the angles is equal to 180 so to find y we divide 180 by 3
180/3=60
y=60
we notice that its supplementary to the angle that measures 60 and supplementary angles add up to equal 180 so to find x we subtract 60 from 180
180-60=120
x=120
Ok now this one i am 100% confident in my answer
1.)the ratio of the number of apples to oranges is 5:4. if there is a total of 135 apples and oranges, how many apples are there?
2.)mrs.jones is 4 times as old as her son. the sum of their ages is 50 years old. how old was mrs.jones when her son was born
3.)mary sold x candybars for $3 each. she received less than $150 from the sale. find the greatest possible number of candybars she sold.
Answer
2. 10 10 x 4=40 10+40=50
3. 49 3 x 49=147
Step-by-step explanation: number 1 i'm not sure
Which of the points below, when plotted on the graph, would connect with the other two points to form an isosceles triangle?A.(3,4)B.(6,3)C.(4,6)D.(2,5)
Answer:
c I believe
Step-by-step explanation:
can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature,
Answer:
C
Step-by-step explanation:
i took the same test
A brownie recipe calls for 1 cup of sugar and 12 cup of flour to make one batch of brownies. To make multiple batches, the equation f=1/2s where f is the number of cups of flour and s is the number of cups of sugar represents the relationship pls i need helpp
what is the question?
Answer:
4/5 or .8
Step-by-step explanation:
You do 4 divided by 5 to get the answer for 1 batch which would equal to 8/10
then you would simplify it to be 4/5.
Anyone have the answer to this question? Thanks
Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random sample of 50 students, she found that 32 students read at least 1 book last month. Assuming all conditions for Inference are met, which of the following defines a 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month?
A. 32 +1.645,√(32)(18/50)
B. 32+ 1.9620√ √(32)(18/50)
C. 0.64 + 1.282√(0.64 )(0.36)/ 50
D. 0.64 + 1.645√(0.64 )(0.36)/ 50
E. 0.64 + 1.96√(0.64 )(0.36)/ 50
Answer:
D)
[tex](0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })[/tex]
90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month
(0.52846 , 0.75166)
Step-by-step explanation:
Step:-1
Given that the random sample size 'n' = 50
The sample proportion
[tex]p^{-} = \frac{32}{50} = 0.64[/tex]
90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month
[tex](p^{-} - Z_{0.90} \sqrt{\frac{p(1-p)}{n}, } , p^{-} +Z_{0.90} \sqrt{\frac{p(1-p)}{n} })[/tex]
Step(ii):-
Level of significance = 0.90
Z₀.₉₀ = 1.645
[tex](0.64 - 1.645 \sqrt{\frac{0.64(1-0.64)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(1-0.64)}{50} })[/tex]
[tex](0.64 - 1.645 \sqrt{\frac{0.64(0.36)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })[/tex]
(0.64 -1.645(0.06788) , (0.64 + 1.645(0.06788)
(0.52846 , 0.75166)
Final answer:-
90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month
(0.52846 , 0.75166)
423 times 28 in grid method
Answer:
Step-by-step explanation:
The numbers 1 through 20 are written on ping pong balls and placed into a bin. One ping
pong ball is drawn. Find the probability that you draw an even number or a 3.
Answer:
11/20
Step-by-step explanation:
P(even #) = 1/2
P(3) = 1/20
add both probabilities: 10/20 + 1/20 = 11/20
Write the standard equation of the circle with center (-14, -3) that passes through the point (-5,3),
Answer:
[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which r is the radius.
Center (-14, -3)
This means that [tex]x_0 = -14, y_0 = -3[/tex]
So
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - (-14))^2 + (y - (-3))^2 = r^2[/tex]
[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]
Passes through the point (-5,3),
This means that when [tex]x = -5, y = 3[/tex]. We use this to find the radius squared. So
[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]
[tex](-5 + 14)^2 + (3 + 3)^2 = r^2[/tex]
[tex]r^2 = 117[/tex]
So, the equation of the circle is:
[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]
[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]
At Jefferson Middle School, 3/5 of the students play a sport. Of those students, 1/3 play soccer. What equation can be used to find what fraction of the students play soccer
A 1/3 - 3/5
B 1/3 x 3/5
C 1/3 + 3/5
D 1/3 ÷ 3/5
Answer:
a
Step-by-step explanation:
I think that right so let me know if It is right
Answer:
its not a for my quiz im pretty sure its x
Step-by-step explanation:
what would be the answer I need help asap
Answer:
is this weird but in all my years of school I've never learn something like this
kiran walks at a speed of 3 miles per hour while clare walks 3.4 miles per hour. after 1 hour how far apart will they be?
Answer:
0.4 miles
Step-by-step explanation:
kiran will have walked 3 miles while clare 3.4 so 3.4-3=0.4
help me please lsksjdid
Answer:
300
Step-by-step explanation:
The last line on the box is the upper quartile.
Answer:
300
Step-by-step explanation:
The lower quartile is 100
The median(second quartile) is 250
The 3rd quartile is located on the right which is the next point which is 300.
The third quartile is always comes after the median also known as the second quartile.
Hope this helps! :)
A soccer player kicks a ball. The ball rolls in a straight line, slows down, and stops. What can you conclude about the soccer ball?
At the football concessions stand, Tia sold 78 hamburgers and chicken tenders. If she
sold 24 more hamburgers than chicken tenders, how many hamburgers did she sell?
I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.
The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.
As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.
Now write out each sentence using variables.
1.) Tia sold 78 hamburgers and chicken tenders.
x+y=78
2.) If she sold 24 more hamburgers than chicken tenders.
x=y+24
Now that we have the 2 equations, its time to solve.
Since we have x=y+24, we can replace the x in the first equation with the second equation
y+24+y=78
2y+24=78
Now we can subtract 24 from both sides.
2y=54
Simplify
y=27
Solve for x
x=27+24=51
Done!
A bike costs 4.50 per hour plus a 5 dollar deposit. What is the equation in slope-intercept form?
Please help I’m giving thanks
Step-by-step explanation:
8: 4, 2
20: 10, 5
have a good day
Answer:
2/5
Step-by-step explanation:
Hey There!
To simplify this expression we need to find the greatest common factor
Both values can be divided by 4
so the greatest common factor is 4
8/4=2
20/4=5
so the simplified version of the given expression is 2/5
Terry makes 1.5% commissions on a swing set. If he made $10.00, what was the sales price?
Which equation represents the line shown on the coordinate grid below?
PLSSS HELPPP!!ฅ^•ﻌ•^ฅ
He spent $201.6 on the club altogether
What shape is made when you slice through a cylinder horizontally?
Answer:
A semi-circle
Step-by-step explanation:
Hope this helps!! :)
Solve for x and y. *
10
30°
60°
Y
O x = 10 and y = 1003
O x = 10V3 and y = 20
O x = 20 and y = 10V2
O x = 10V2 and y = 10
Answer:
beeebooobeeeeeboooooobeeeeebooooooo
Step-by-step explanation:
option a