Answers
Answer:
A. x = 16, y = 9√2
Step-by-step explanation:
✔️Let's find y first using trigonometric ratio:
Reference angle = 45°
Hypotenuse = y
Opposite = 9
Therefore,
Sin(45) = 9/y
y = 9/sin(45)
y = 9/(1/√2)
y = 9 × √2/1
y = 9√2
✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.
Adjacent side using Pythagorean Theorem would be,
Adj² = y² - 9²
Adj² = (9√2)² - 9²
Adj² = 162 - 81
Adj² = 81
Adj = √81
Adj = 9
x = adj + 7 = 9 + 7
x = 16
Related Questions
I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!
Answers
Answer:
The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!
Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.
Hope it was clear explanation.
solve each equation for given variable
- 12 = 6i- 6
Answers
Explanation:
First get the variable by itself. To do that, add six to both sides of the equation. You will have -6 = 6i. Than divide both sides by 6. It will give you i = -1.
-12 + 6 = 6i - 6 + 6
-12 + 6 = 6i
(-12 + 6)/6 = (6i)/6
(-12 + 6)/6 = i
i = (-12 + 6)/6
In triangle DEF, if the measures of angles D and E are equal, and the measure of
angle F is 26, what are the measure of angles D and E?
Your answer
Answers
Answer:
77 = m∠D = m∠E
Step-by-step explanation:
In a triangle the sum of the measures of the angles = 180. So m∠D + m∠E + m∠F = 180
Let m∠D = m∠E = x
Then x + x + 26 = 180
2x + 26 = 180
2x = 154
x = 77 = m∠D = m∠E
1. Maya had a dozen white eggs
and a dozen brown eggs in her
refrigerator. She used 6 white
eggs and 8 brown eggs to make
breakfast. How many eggs does
she have left?
Answers
Answer:
6 white & 4 brown
Step-by-step explanation:
12-6=6
12-8=4
What is the volume of the rectangular prism?
Answers
Answer:
15 0/0
Step-by-step explanation:
15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume
Answer:
15[tex]cm^{3}[/tex]
Step-by-step explanation:
ok...each of those boxes are 1/2 cm
What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15
Hope this helped!
Have a supercalifragilisticexpialidocious day!
A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?
Answers
Answer:
320 pounds of 55% raisins trail mix
480 pounds of 30% raisins trail mix
Step-by-step explanation:
i did it on RSM and got it right
Kevin draws out one M&M without looking.
· What is P(green)?
· What is P(red)?
· What is P(~Yellow)?
· What is P(~Orange)?
Answers
Answer:
1/6
Step-by-step explanation:
M&M comes in 6 colors.
So, P(green), = 1/6
P(red) = 1/6
· P(Yellow) = 1/6
· P(Orange) = 1/6
The bigger
the number the more
factor pairs it has.
Use examples to show that Dexter is wrong.
Answers
Answer:
See Explanation
Step-by-step explanation:
Required
Prove that Dexter is wrong
To prove that Dexter is wrong, we use the following numbers.
[tex]Number = 4[/tex]
The factors are:
[tex]Factor = 1,2\ and\ 4[/tex]
3 factors
Using a greater number:
[tex]Number = 5[/tex]
The factors are:
[tex]Factor = 1\ and\ 5[/tex]
2 factors
From the above analysis:
4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors
This shows that Dexter is wrong
0.5 g of salt is equal to how many milligrams show your work
Answers
Answer:
Amount of salt = 500 milligrams
Step-by-step explanation:
Given:
Amount of salt = 0.5 g
Find:
Amount of salt in milligrams
Computation:
1 gram = 1,000 milligrams
So,
Amount of salt = 0.5 x 1,000
Amount of salt = 500 milligrams
The coordinates of the vertices of triangle ABC are A(9.-10), B(-15, 0), and C(15, 10). A dilation centered at (0, 0) is perfomed on triangle ABC to produce triangle ABC. The coordinates of the vertices of triangle A'B'C' are A' (13.5, -15), B(-22.5, OJ, and C(22.5, 15). Find the scale factor. will mark brainlyst
Answers
Explanation: I plotted the points on a graph and calculated the length of AC (20) and A’C’ (30)
The answer should be 30/20 = 1.5
I hope this helps!
The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.
Answers
00 DKW wu
6. Jackson made a poster in the shape of a quadrilateral. Each pair of opposite sides of the poster (1 point)
are congruent, and parallel and all angles are congruent. Which of the following names best
describes the shape of Jackson's poster?
O parallelogram
Orhombus
O rectangle
O trapezoid
Answers
Rectangle
Just finished the post test right now.
Find the exact value of sec795°
Answers
Answer:
I believe the answer would be [tex]\sqrt{6}+\sqrt{2}[/tex] or 3.8637
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The function d = 16t2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function
o estimate the time it takes an object to fall 100 feet. (1 point)
Answers
Answer:
[tex]t = \frac{1}{4}\sqrt d[/tex]
Time to reach 100ft is 2.5 seconds
Step-by-step explanation:
Given
[tex]d = 16t^2[/tex]
Solving (a): Determine the inverse function
[tex]d = 16t^2[/tex]
Swap the positions of d and t
[tex]t = 16d^2[/tex]
Make d the subject
[tex]\frac{t}{16} = d^2[/tex]
Take positive square root of both sides
[tex]\sqrt{\frac{t}{16}} = d[/tex]
[tex]d = \sqrt{\frac{t}{16}}[/tex]
[tex]d = \frac{1}{4}\sqrt t[/tex]
Swap the positions of d and t
[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function
Solving (b): Find t when d =100
Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]
[tex]t = \frac{1}{4}\sqrt {100[/tex]
[tex]t = \frac{1}{4}* 10[/tex]
[tex]t = \frac{1* 10}{4}[/tex]
[tex]t = \frac{10}{4}[/tex]
[tex]t = 2.5[/tex]
Need help on only 27 please need ASAP thanks
Answers
Answer:
8 is not in the solution set
Step-by-step explanation:
Given, -y + 7 < -4
To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.
Thus:
-8 + 7 < -4
-1 < -4
This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.
Therefore, 8 is not in the solution set.
what is sociallizatioj
Answers
Answer:
Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society
hope it helps you
please mark me as brainlist
Step-by-step explanation:
mixing up and following social norms and values as a member of the society is called socialization.
Caroline borrowed 300,000 from the bank in order to buy a house. If the simple interest RATE that the bank charged her was 3.5%, and she ended up paying the bank back a total of $615,000 (principal and interest total), how long (in years) did it take her to pay back the loan?
Answers
Answer:
915'000.+123=915,123
random khan question and I haven't done this in a year, I'm struggling.
Answers
Answer:
Add maybe
Step-by-step explanation:
add the 500+400+200 try that hope it helps have a great day
are squares parallelograms
Answers
9514 1404 393
Answer:
yes
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.
_____
A rhombus is a special case of parallelogram in which adjacent sides are the same length.
A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.
__
An alternate route to the same conclusion is ...
A rectangle is a special case of parallelogram in which vertex angles are 90°.
A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.
Plz help me! I’m not sure how to do these!
Answers
Step-by-step explanation:
2. x =101
3. x= 120
4. x= 30
I am very confused in question no 1 and 5 th .
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful .
Y= 2/3x + 2. Y= 3/5x + 3. Graph equations
Answers
Answers are on paper.
I put them on separate graph
Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.81. This can be expressed as P(call is for medical assistance)
Answers
Answer: The is down there
Step-by-step explanation: Glad to help but hope it helps you.
evaluate the expression 4/5-2/3
Answers
Answer:
2/15
Step-by-step explanation:
Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.
12/15-10/15=2/15
Hope this helps. Pls give brainliest.
What is the value of x?
Answers
Answer:
98%
Step-by-step explanation:
The Wall Street Journal reported that the median salary for middle-level manager jobs was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an independent study of middle-level managers employed at companies located in Atlanta, Georgia, was conducted to compare the salaries of managers working at firms in Atlanta to the national average. The following data show the salary, in thousands of dollars, for a 8. sample of 15 middle-level managers.
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
a. Compute the median salary for the sample of 15 middle-level managers. How does the median for this group compare to the median reported by The Wall Street Journal?
b. Compute the mean annual salary and discuss how and why it differs from the median a. b. computed in part (a).
c. Compute the first and third quartiles.
Answers
Answer:
Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000
Step-by-step explanation:
Given the data :
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
Reorderd data :
53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124
The median salary:
1/2(n+1)th term
Sample size, n = 15
1/2 (15 + 1)th term
1/2(16)th term
8th term = 80
Median is $80,000
Median reported by Wall Street Journal approximately $85000
The obtained and reported values are close
The mean annual salary :
ΣX / n = 1260 / 15 = 84
Mean annual salary = $84,000
Mean is the average of all earnings combined, median is the mid value of he data.
First and third quartile :
Q1 = 1/4(n+1)th term
Q1 = 1/4(16)th term
Q1 = 4th term = 67
Third quartile:.
Q3 = 3/4(n+1)th term
Q3 = 3/4(16)th term
Q3 = 12th term = 106
Write an equation of the parabola with focus (0, 10) and vertex at the origin
Answers
Answer:
f(x) = (1/10)x²
Step-by-step explanation:
This is the answer that I think it is but I am not sure if it is right...
Hope this helps!
zach read a book10 min every weekend for the first month 20min in 2nd month 40 min in third month and 80 min in 4th month
victoria read a book 35 everyweekend for first month 50 min second month 65 min third month 80 min 4 the month which method is used linear or exponential
Answers
Answer:
Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.
Step-by-step explanation:
how do you solve 0.7n-1.5+7.3n=14.5
Answers
Answer:
n = 2
Step-by-step explanation:
Answer:
n = 2
Step-by-step explanation:
0.7n-1.5+7.3n=14.5
Add like terms
(0.7n + 7.3n) + (-1.5) = 14.5
8n -1 .5 = 14.5
Add 1.5 to both sides.
8n =1 6
Divide both sides by 8.
n = 2
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
63 + 3y = 12
(5.-6):
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Forms
Tell whether the ordered pair is a solution to the system of linear equations
Yes
No
Maybe
Answers
Answer:
(5,-6) is a solution
Step-by-step explanation:
Given
[tex]6x + 3y = 12[/tex]
[tex]4x + y = 14[/tex]
Required
Tell whether (5,-6) is a solution
In (5,-6): x = 5 and y = -6.
Substitute these values in the given equations
[tex]6x + 3y = 12[/tex] becomes
[tex]6 * 5 + 3 * -6 = 12[/tex]
[tex]30-18 = 12[/tex]
[tex]12 = 12[/tex]
[tex]4x + y = 14[/tex] becomes
[tex]4 * 5 - 6 = 14[/tex]
[tex]20 - 6 = 14[/tex]
[tex]14 = 14[/tex]
Because both solutions are true, then (5,-6) is a solution
Elena mixes 5 cups of apple juice with with 2 cups of ginger ale to make punch for a party she wants to make 35 cups of punch how much apple juice does she need to buy?
Answers
Answer:
25 cups of apple juice and 10 cups of sparking water.
Step-by-step explanation: