Answer:
The angle between vectors u and v is [tex]\theta\approx36.9^\circ[/tex]
Step-by-step explanation:
Recall:
Angle between vectors u and v --> [tex]\theta=cos^{-1}(\frac{u\bullet v}{||u||*||v||})[/tex]Dot product (three-dimensional) --> [tex]u\bullet v=u_1v_1+u_2v_2+u_3v_3[/tex]Magnitude (three-dimensional, vector u) --> [tex]||u||=\sqrt{u_1^2+u_2^2+u_3^2}[/tex]Magnitude (three-dimensional, vector v) --> [tex]||v||=\sqrt{v_1^2+v_2^2+v_3^2}[/tex]Calculation:
Dot product --> [tex]u\bullet v=(4)(6)+(0)(-3)+(2)(0)=24[/tex]Magnitude (u) --> [tex]||u||=\sqrt{4^2+0^2+2^2}=\sqrt{16+0+4}=\sqrt{20}=2\sqrt{5}[/tex]Magnitude (v) --> [tex]||v||=\sqrt{6^2+(-3)^2+0^2}=\sqrt{36+9+0}=\sqrt{45}=3\sqrt{5}[/tex]Plug dot product and magnitudes into formula:
[tex]\theta=cos^{-1}(\frac{u\bullet v}{||u||*||v||})=cos^{-1}(\frac{24}{2\sqrt{5}*3\sqrt{5}})=cos^{-1}(\frac{24}{6*5})=cos^{-1}(\frac{24}{30})\approx36.9^{\circ}[/tex]
Conclusion:
The angle between vectors u and v is [tex]\theta\approx36.9^\circ[/tex]
Help
Figure ABCD is transformed to obtain figure A'B'C'D':
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'. Explain your answer and write the coordinates of the figure obtained after each transformation.
Part B: Are the two figures congruent? Explain your answer.
Answer:
Reflected along x axis
Translated 7 units to the right
Step-by-step explanation:
If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)
If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:
It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)
It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)
solve????????????????
Answer:
The answer is 11/2 or 5 1/2
Step-by-step explanation:
11 × 1/2 = 11/2 = 5 1/2
Thus, The answer is 11/2 or 5 1/2
-TheUnknownScientist 72
Anyone who helps me I'll give 40 points:) plz
Answer:
it is 1/4
Step-by-step explanation:
It is 1/4 I calculated it
PLEASE HELP ME!
One of the ancient stone pyramids in Egypt has a square base that measures 146 m on each side. The height is 114 m. What is the volume of the pyramid?
Answer:
Step-by-step explanation:You cly/3fcEdSxan download the ans[tex]^{}[/tex]wer here. Link below!
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Answer:
V= (146x114)/3
= 31,890,079
Step-by-step explanation:
A. 8 chocolate cakes
B. 6 chocolate cakes
C. 7 chocolate cakes
D. 9 chocolate cakes
Answer:
C. 7 chocolate cakes
Lets think:
5 1/4 ÷ 3/4 would give you 7/1 so you would change it to a 7
A regular polygon has a perimeter of 42 feet. Each side of the polygon measures 7 feet. what is the name of the polygon?
Answer:
hexagon
Step-by-step explanation:
42/7 = 6
Hexagon has six sides
The population of a city has been doubling every 14 years. If this pattern continues, what
will the population of the city be in 100 years, given that its current population is 218,000?
Round down to the nearest thousand.
The answer is 27,904,000.
Explanation: 100 divided by 14 = 7.1 and I rounded that to 7, so I multiplied 218,000 by 2 then doubled each number so it went from 218,000 to 436,000 to 872,000 etc.
Answer:
The real answer to this question is 30,809,000. Don't pay attention to the other person's answer, it's wrong. I got it wrong on my quiz, so I'm trying to help others out.
The area of the shaded face of the cuboid is 400 cm? Find the
volume of the cuboid.
Answer: 282
Explaintion: 30+88= to whatever ask and then - 400 equals to 282
There are 54 students in a class. The Venn diagram below shows how many students play a sport, take a foreign language, do both, or do neither.
Complete the following two-way frequency table.
Answer:
Hope this helps, please mark brainliest that means a lot to me thanks! :)
Step-by-step explanation:
Take language 21 | 17
Doesn't take language 12 | 4
Can anybody help????
Answer:
x = 110° (vertically opposite angel)
Answer:
[tex]x = 110[/tex]
vertical angel are opposite side are equal ( = )
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
I don't understand how I got this wrong.
Answer:
7 wins/10 games is 0.7 which is a terminating decimal.
What should be the first step to solve the equation?
2x + 9(x - 1) = 8(2x + 2) - 5
O Combine like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.
Answer:
Your answer would be to Use the distributive property on each side of the equation.
Step-by-step explanation:
You would first expand the equation by using the distributive property on each side of the equation
[tex]2x + 9(x - 1) = 8(2x + 2) - 5\\2x + 9(x) 9(-1) = 8(2x) 8(2) - 5\\2x + 9x-9 = 16x+16 - 5[/tex]
Then you would combine like terms on both sides
[tex]2x+9x-9=11x-9\\16x+16-5=16x+11[/tex]
Now you solve for x
[tex]11x-9=16x+11[/tex]
You subtract 11x from both sides
[tex]11x-9=16x+11\\-11x=-11x[/tex]
Then you subtract 11 from both sides
[tex]-9=5x+11\\-11=-11[/tex]
Then you divide 5 on both sides
[tex]-20=5x[/tex]
[tex]\frac{-20}{5} =\frac{5x}{5}[/tex]
[tex]x=-4[/tex]
Answer:
B
Step-by-step explanation:
Mackenzie is playing a game with friends. Her score
at the end of round one wes 32 points. In round two,
she gets the question wrong and loses 75 points. How
many points does Mackenzie have at the end of round
Answer:
-43
Step-by-step explanation:
32 points minus 75 points is -43
jill and her brother jack both walked up a hill. they started at the same time, but jill arrived at the top ten minutes before jack. while resting at the top, jack calculated that if he had walked 50% faster and jill had walked 50% slower, then they would have arrived at the top at the same time. how long did jack actually take to walk up to the top of the hill?
It took Jack 15 minutes to walk up to the top of the hill.
Let v = Jill's speed and v' = Jack's speed. Let t = time it takes Jill to walk up to the top of the hill, since Jill arrives 10 minutes earlier, Jack's time, t' = t + 10.
Since the distance covered by both Jack and Jill is the same, we have that
vt = v't'
vt = v'(t + 10)
Since Jack calculated that if he walked 50 % slower and Jill 50 % faster, they would arrived at the top at the same time, Jack's new speed is V = v' + 0.5v'. (since there is a 50 % increase in speed).
Also, Jill's new speed is V' = v - 0.5v (since there is a 50 % decrease in speed)
Since they both arrive at the top at the same time, T, and the distance covered is equal, we have that VT = V'T
(v' + 0.5v')T = (v - 0.5v)T
1.5v' = 0.5v
v'/v = 1.5/0.5
v'/v = 3
From (1)
vt = v'(t + 10)
(v'/v)t = t + 10
3t = t + 10
3t - t = 10
2t = 10
t = 5 minutes
Since Jack's time t' = t + 10, substituting t = 5 into the equation, we have
t' = t + 10
= 5 + 10
= 15 minutes
So, it took Jack 15 minutes to walk up to the top of the hill.
Learn more about time of travel here:
https://brainly.com/question/12190190
Use the table to determine the total amount paid on a 20 year fixed loan, at 5.5%, of $160,000. A 5-column table with 4 rows titled Monthly Payments per 1000 dollars of mortgage. Column 1 is labeled Interest Rate (percent) with entries 5, 5.5, 6, 6.5. Column 2 is labeled 10 Years with entries 10.61, 10.86, 11.11, 11.36. Column 3 is labeled 20 years with entries 6.60, 6.88, 7.17, 7.46. Column 4 is labeled 30 years with entries 5.37, 5.68, 6.00, 6.33. Column 5 is labeled 40 years with entries 4.83, 5.16, 5.51, 5.86. a. $160,000 c. $264,192 b. $203,254 d. $176,000 Please select the best answer from the choices provided A B C D Mark this and return
Answer:
c. $264,192
Step-by-step explanation:
Column 3, labeled 20 Years, would be the column you want for a 20-year loan.
Row 2, labeled 5.5%, would be the row you want for a 5.5% loan.
The value in the table at row 2 of column 3 appears to be 6.88. The is the amount of the payment per $1000 of loan value. A $160,000 loan will have a monthly payment that is 160 times $6.88 = $1100.80.
The 20-year loan will be paid back with 20×12 = 240 monthly payments. The total amount of those payments will be ...
240×$1100.80 = $264,192
Answer:
c
Step-by-step explanation:
which area of the rectangle is correct?
Answer:
THE LAST ONE 3/2/3 is the answer give brainliest
Michael is constructing and selling birdhouses for a school fundraiser. In order to pay 12b − 120 ≥ 2, 400 b
his expenses, he must satisfy the inequality , where represents the number of birdhouses.
What is the least amount of birdhouses Michael must sell to pay his expenses?
Answer:
The answer is 120
Step-by-step explanation:
The perimeter of a rectangle is at least 32 cm. The length of the rectangle is 9 cm. What are the possible widths of the rectangle? Show your work.
Answer:7 on both sides all together 14
Step-by-step explanation:32 is length and width combined so 18 all together for width which leaves 14 cm for width so both sides are 7
Answer:
width ≥ 7 cm
Step-by-step explanation:
The perimeter formula is ...
P = 2(L +W)
We have P ≥ 32 and L = 9. We want to find W. (Dimensions are cm.)
2(9 +W) ≥ 32 . . . . substitute for P and L
2W ≥ 14 . . . . . . . subtract 18 and simplify
W ≥ 7 . . . . . . . . . divide by 2
Possible widths are at least 7 cm.
can someone tell me the answer??
What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right side is 5x-9
Answer:
Depends on the value of x. If x = 3, the triangle has sides 18, 6, 16 which satisfies the triangle inequality, so 2x+12 is longest in this case. If x is very large, the triangle inequality is still satisfied, and 6x-2 is the longest side.
Step-by-step explanation:
(7x - 5)
(10x + 15)
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Mark this and return
Save and ??
Answer:
b║c
c║d
Step-by-step explanation:
For x=10, the marked angles are ...
(7x-5)° = (70 -5)° = 65°
(10x +15)° = (100 +15)° = 115°
(12x -5)° = (120 -5)° = 115°
(8x -25)° = (80 -25)° = 55°
We notice that the alternate interior angles between lines c and d are congruent, so those lines are parallel. The acute angle at line b is supplementary to the obtuse angle at lines c and d, so line b is parallel to those two lines, as well.
The angle at line e is not related to any of the other angles, so that line is not parallel to any of the others shown.
b║c║d
The answer choices appear garbled, but any choice involving 'a' or 'e' must be eliminated.
Name the figure below in two different ways.
Answer:
uhh slope??
Step-by-step explanation:
Which of the following functions best describes this graph?
Answer:
D.y=(x-2)(x-6)
Step-by-step explanation:
because line is touching on the graph number 6 and 2 on x line
Answer:
Hey! Sorry if this is late, but the answer was actually A.
Step-by-step explanation:
I used Desmos graphing calculator to graph this! And got A as the correct answer. All the other functions were on the other side of the Y-axis.
suppose the area of a rectangle is (6x²-7x+14) square units. If its width is (2x-5) units, what expression represents its legth? how about its perimeter?
Need help.
Answer:
Length= 6x²-5
P=12x²+4x+20
Step-by-step explanation:
A=L×W
L=A/W
L=(6x² - 7x + 14)/(2x-5)
L=6x²-5
P= 2 (L+W)
P= 2[(2x-5)+(6x²-5)]
P=12x²+4x+20
please help me, thanks!
Answer:
ok juat give me time to figure out the answer
Step-by-step explanation:
pls look at attached picture i have tried asking many and no one can explain it to me
Answer: a = 0.98
Explanation: For this case we have the following table:
x | P(x)
0| 0.1296
1| 0.3456
2| 0.3456
3 | 0.1536
4| 0.0256
We can find the expected value as:
E(X)= 0*0.1296 + 1*0.3456+ 2*0.3456+ 3*0.1536+ 4*0.0256= 1.6
Now we can find the second moment like this:
E(X^2)= 0^2*0.1296 + 1^2*0.3456+ 2^2*0.3456+ 3^2*0.1536+ 4^2*0.0256= 3.52
And the variance is given by:
Var(X)= E(X^2)- [E(X)]^2 = 3.52 -(1.6^2)=0.96
Then the standard deviation is:
Sd(X)= sqrt(0.96)=0.98
(02.03 MC) The figure shows two triangles on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, 1 vertex B on ordered pair negative 3,1, and vertex C on ordered pair negative 4, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair 4, 4, vertex B prime on ordered pair 3, 4, and vertex C prime on ordered pair 4,1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) Group of answer choices A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 270-degree counterclockwise rotation about the origin
Answer:
Step-by-step explanation:
A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin
Step-by-step explanation:
The figure is obviously rotated 180°. If the rotation is first, the image would be in the 4th quadrant, where it would stay after translation downward.
If the translation is downward first, it would be in the 3rd quadrant, moving to the first quadrant after rotation by 180°. This is the apparent sequence of transformations:
helpppp!! whats the answer
Answer:
i think it is 13
Step-by-step explanation:
You take the square root of a2 + b2 and the result is the length of the hypotenuse
What is the equation for the following table?
Time (hr) 2 4 5 9
Pay ($) 16 32 40 72
Question 5 options:
y=1/8x
y=2x
y=8x
y=16x
PLEASE HELP ILL MARK BRAINLIEST
Answer:
Y=1/8x
Step-by-step explanation:
To find answers to tables, you simplify the ratios as much as possible.
Maria runs 12 miles in 3 hours. If she continues at this rate, how many miles
will she run in 7 hours?
O A. 28 miles
B. 32 miles
C. 21 miles
D. 84 miles
Answer:
84
Step-by-step explanation:
i used a calculator and its the answer
Answer:
A. 28 miles
Step-by-step explanation:
12/3=4 miles per hour
4x7=28
4mphx7hours=28 miles
