What was his mistake????
The perimeter of a square is 12x - 8. Which of the following is the length of
one side of the square?
Answer:
3x-2
Step-by-step explanation:
12x-8/4 = 3x-2 is one side length of a square
Solve triangle PQR. Round intermediate results to 3 decimal places and final answers to 1 decimal place.
Answer:
[tex]Q = 96.4^\circ[/tex]
[tex]R = 58.4[/tex]
[tex]P =25.2[/tex]
Step-by-step explanation:
Given
See attachment for PQR
Required
Solve the triangle
From the attached triangle, all sidea of the triangle are known.
i.e.
[tex]PQ = 6\\QR=3\\PR=7[/tex]
So, we are to solve for [tex]\angle P, Q \& R[/tex]
Using cosine rule:
[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]
To solve for Q, we have:
[tex]PR^2 = PQ^2 + QR^2 - 2 * PQ * QR Cos(Q)[/tex]
[tex]7^2 = 6^2 + 3^2 - 2 * 6 * 3 * \cos(Q)[/tex]
[tex]49 = 36 + 9 - 36 * \cos(Q)[/tex]
Collect like terms
[tex]49 - 36 - 9 = - 36 * \cos(Q)[/tex]
[tex]4 = - 36 * \cos(Q)[/tex]
Divide both sides by -36
[tex]\cos(Q) = \frac{-4}{36}[/tex]
[tex]\cos(Q) = -0.1111[/tex]
Take arc cos of both sides
[tex]Q = cos^{-1}(0.1111)[/tex]
[tex]Q = 96.4^\circ[/tex]
To solve for R, we make use of sine rule;
[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]
So, we have:
[tex]\frac{PQ}{\sin R} = \frac{PR}{\sin Q}[/tex]
[tex]\frac{6}{\sin R} = \frac{7}{\sin 96.4}[/tex]
Cross multiply
[tex]\sin R * 7 = 6 * \sin 96.4[/tex]
Solve for sin R
[tex]\sin R = \frac{6 * \sin 96.4}{7}[/tex]
[tex]\sin R = \frac{6 * \0.9938}{7}[/tex]
[tex]\sin R = 0.8518[/tex]
Take arc sin of both sides
[tex]R = sin^{-1}(0.8518)[/tex]
[tex]R = 58.4[/tex]
Solving P:
[tex]P+ Q + R = 180[/tex] --- angles in a triangle
Solve for P
[tex]P =180-Q-R[/tex]
[tex]P =180-96.4-58.4[/tex]
[tex]P =25.2[/tex]
I don’t understand!!!
Answer:
48
Step-by-step explanation:
by parallel laws
132 + x = 180
x = 48
so x must be 48
After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.
Using the box plot, determine the best measures of the data.
The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.
The number that best summarizes the data is (blank)
years of service.
The number that best describes how the data varies is (blank)
years of service.
Step-by-step explanation:
The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank
Please send the box plot, I can solve it then but there is not enough info right here. Sorry!
Alica created a portrait that is 10 inches wide and 13 inches long she wants to put a frame that is 2 1/4 wide on each side
Answer:
[tex]A_f=470ft[/tex]
[tex]P_f=88ft[/tex]
Step-by-step explanation:
From the question we are told that:
Width of Portrait [tex]w=10inches[/tex]
length of Portrait [tex]l=13inches[/tex]
Frame each [tex]l_W=21/4inch each[/tex]
Generally the equation for area of portrait A is mathematically given by
[tex]A=w*l\\A=10*13\\A=130m^2[/tex]
Generally the equation for Perimeter of portrait is mathematically given by
[tex]P=2(w+l)\\P=2(10+13)\\P=46m[/tex]
Generally the equation for area of portrait with frame is mathematically given by
[tex]A=w_f*l_f[/tex]
where
w_f=width of portrait with frame
[tex]w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft[/tex]
l_f=Length of portrait with frame
[tex]l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft[/tex]
Therefore Area of picture with frame
[tex]A_f=w_f*l_f[/tex]
[tex]A_f=20.5*23.5[/tex]
[tex]A_f=470ft[/tex]
Generally the equation for Perimeter of portrait is mathematically given by
[tex]P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft[/tex]
solve for x
[tex]\frac{1}{x-9}[/tex] =6
r = 1/15
a branliest from the answer will be appreciated
Step-by-step explanation:
1/x-9= 6
cross multiply
1= 6×{x-9}
1= 6x - 54
collect like terms
1+54= 6x
55= 6x
x= 55/6 or 9.1667
Please help asap I need it please
Answer:
Exponential decay
Step-by-step explanation:
Because the values are exponentially decreasing.
Use the graph to find the cost of 8 shirts,
Cost of Shirts
100
TA
Cost (5)
Number of shirts
A. The cost of 8 shirts is $8.
B. The cost of 8 shirts is $150
C. The cost of 8 shirts is $15.
D. The cost of 8 shirts is $120.
You choose two different movies on a list at random. Out of 10 movies on the list, 6 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.
Answer:
5/9
Step-by-step explanation:
You have 10 movies in total. You take 1 out of 6 action movies. Now you have 5 action movies left, so that means the probability is 5/9. It's 5/9 because you chose 1 action movie out of 10 movies in total, so that means there are 9 movies in total left.
Hopes this helps and makes sense!
What is the probability of drawing an even numbered card, keeping it, and then drawing another even numbered card from a stack of 24
cards numbered 1 to 247
Oct
O
С C
46
Answer: 1/4
Step-by-step explanation:
In a stack of 24, the 2 mediums are odd and even cards in this question. This means that 1/2 the cards are even and 1/2 are odd. To get a even card once is a 1/2 chance, then to get it again is 1/2 x 1/2 chance or 1/4 chance. This is what I think.
Can someone help me pls
Answer:
D . 8x - 3
proof
16x - (3 + 8x ) = 8x - 3
16 -3 - 8x = 8x - 3
8x -3 = 8x - 3
Can someone please help me on this I am stuck
Answer:
3, 4, 5
5, 12, 13
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
ANSWER FOR BRAINLIEST:
Mark all of the following that are measures of Central Tendency.
Mean
Range
Mode
Median
Mean Absolute Deviation
Outlier
Answer:
I think it's mean, range, median, and outlier
Answer:
range,mode and median I think hehehe
last year there were 480 students in school and this year it has become 600 find the percentage increase in the number of students
Answer:
25%Steps:
600 - 480 = 120
100(120/480) = 25
Answer:
increase in percentage = 25%
Step-by-step explanation:
here's your solution
==> Total number of students last year = 480
==> Number of students this year = 600
==> Number of increased students = 600 - 480
= 120 students
==> now , in percentage = (120/480)*100
==> percentage increase = 25%
hope it helps
Rori read 5 books last month. Here are the number of pages in each book that she read. (120, 106, 94, 100, 180) What is the mean absolute deviation (MAD) of the number of pages in the 5 books Rori read?
Answer:The mean absolute deviation (MAD) of the number of pages in the 5 books Rori read =24
Step-by-step explanation:
To find the the mean absolute deviation (MAD,we start firt by
Getting the mean of all values
Mean =120, 106, 94, 100, 180/5 =600/5=120
Next we subtract the mean value from each value which is called distance
120 -120 = 0
106 -120 = -14
94 -120= -26
100 -120=-20
180 -120=60
Thirldly, we find the mean of the distances ignoring the negative signs
0+14+26+20+60 / 5 = 120/5=24
¿Avisar y enamorar es una rima asonante o consonante?
ES URGENTE. NO PONGAN TONTERIAS SI NO REPORTO
GRACIAS :)
Answer:
son consonantes
guíate por esto.
La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonante.
Which sequence of transformations will map triangle A onto its congruent image, triangle B?
A. a reflection over the x- axis, then a reflection over the y-axis
B. a translation 8 units down, then a reflection over the y-axis
C. a reflection over the x-axis, then a translation 6 units to the left
D. a rotation 90 degrees clockwise about the origin, then a translation 6 units to the left
(If anyone knows the answer please explain why it’s the answer)
Answer:
C. a reflection or the x-axis,then a translation 6 units to the left
someone help me, graphs r shown!
Answer:
A
Step-by-step explanation:
Answer:
A
explanation:
i answered the question
btw thanks for the brainliest
I need help as soon as poible
π×5×5×7=
Answer:
549.5
Step-by-step explanation:
For a estimate of pi we use 3.14. So 3.14x5x5x7=549.5
For a realistic answer its 549.778714378.....
Can someone please help me with this question?
Which of the following expressions are equivalent?
A) 2(x + 3) - 2
B) 2x + 4
C) 3(x + 3) - x - 5
Simplify A:
2(x+3)-2
Use distributive property:
2x+6-2
Combine like terms:
2x+4
This is the same as B.
A and B are equivalent.
i beg for help where are the geniuses?
Answer:
CB = sqrt62
Step-by-step explanation:
The pythagorean theorem will help with this! First take triangle ACD, AD^2 + CD^2 = AC^2. Plug in, AD^2 + 16 = 25. AD^2 = 9. AD = 3. I'm not exactly sure how to find DB, but I can assume it's double of AD< so 6. We know CD is 4, so 4^2 + 6^2 = CB^2. 16 + 36 = CB^2. CB = sqrt62
Sorry if this isn't exactly right, there's no exact way to find DB.
Answer:
CB = sqrt62
Step-by-step explanation:
The Pythagorean theorem will help with this! First take triangle ACD, AD^2 + CD^2 = AC^2. Plug in, AD^2 + 16 = 25. AD^2 = 9. AD = 3. I'm not exactly sure how to find DB, but I can assume it's double of AD< so 6. We know CD is 4, so 4^2 + 6^2 = CB^2. 16 + 36 = CB^2. CB = sqrt62
what is the lcm of 32 and 14
the answer is 224 im pretty sure hope this helps
Reasoning How could you write, as a percent
without dividing?
help please quick will mark brainliest
Answer:
5. B 6A. True 6B. True 6C. False 6D. True
Step-by-step explanation:
A rectangular prism has a volume of 819 cubic meters. It has a length of 10 meters and a width of 9 meters. What is the height of the prism?
Answer:
9.1m
Step-by-step explanation:
h = V ÷ l w = 819 ÷ (10 × 9) = 9.1m
Have a good day
Find the radius of the circle.
(x – 3)2+(9 + 7)2= 16
please help asap for the area. i got homework to submit in 5 minutes
Answer:
area = 228 m^2
Step-by-step explanation:
here's your solution
=> length = 20 m. , width = 12 m
=> Area of rectangle = length*width
=> Area of rectangle = 12*20
=> Area of rectangle = 240 m^2
now we need to find area of traingle
=> base = 4 m. , height = 6 m
=> area of traingle = 1/2*base*height
=> area of traingle = 1/2*4*6
=> area of traingle = 12 m^2
=> now , area of figure = 240 m^2 - 12 m^2
=> 228 m^2
hope it helps
Answer:
p= 66.32 m
a= 228 m squared
Step-by-step explanation:
How do you write
4,083/1000
as a percentage?
Answer:
408.3%
Step-by-step explanation:
Which ratio compares the number of daffodil bulbs to the number of tulip
bulbs?
Answer:
2:3
Step-by-step explanation:
8:12
divide by 4
2:3
Good luck on your test
Answer:Well it's probably 1:5
Step-by-step explanation:
Tell me If I was wrong :<