Answers
Answer:
z=6 sqrt 2
Step-by-step explanation:
Find y, by using the pythagrean theorem, 9=1+0, y= 2sqrt 2. Then plug y in to find z. 2srt ^2+8^2=z^2, 8+64=72=6sqrt2
Related Questions
HELP! BRAINLIEST!
Which of the following represents vector w = 11i − 60j in trigonometric form?
w = 61❬sin 280.389°, cos 280.389°❭
w = 61❬cos 280.389°, sin 280.389°❭
w = 61❬cos 79.611°, sin 79.611°❭
w = 61❬sin 79.611°, cos 79.611°❭
Answers
Answer:
w = 61❬cos 280.389°, sin 280.389°❭
Step-by-step explanation:
The "trigonometric form" of a vector is ...
(magnitude)❬cos(angle), sin(angle)❭
This is sometimes abbreviated ...
magnitude cis(angle)
__
This form immediately eliminates choices A and D, as those have the trig functions reversed. The signs on the unit vectors i and j tell you the vector has a 4th-quadrant angle, so will be between 270° and 360°. Only answer choice B makes any sense.
w = 61❬cos 280.389°, sin 280.389°❭
_____
Additional comment
The angle is computed from ...
θ = arctan(y/x) = arctan(-60/11) = -79.611°
Expressed as a positive angle in the range [0, 360°), that will be ...
360° +(-79.611°) = 280.389°
__
The abbreviation "cis" is mentioned as an aid to remembering the (x, y) coordinates are the cosine and sine of the angle, in that order.
HELP ASAP
The table shows how the number of sit-ups marla does each day has changed over time. At this rate, how many sit-ups will she do on day 12? Explain your steps in solving this problem
Day 1 - 12
Day 2 - 21
Day 3 - 25
Day 4 - 29
Day 5 - 33
Answers
Answer:
177
Step-by-step explanation:
just answered this for someone else but the number of sit-ups is going up in 4s so just add four to 33 7 times since thats how many days she has left til 12th day
A quadrilateral has two angles that measure 222° and 81°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?
Answers
[tex]\sf\huge\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] Ratio of two angles are 6:13.
So, let the one angle be [tex]\sf{6x}[/tex] and another be [tex]\sf{13x.}[/tex]
As we know that,
Sum of all interior angles of a quadrilateral = [tex]\sf\pink{360°.}[/tex]
So let's sum up the given angles,
[tex]\rightarrow[/tex] [tex]\sf{222°+81°+6x+13x \:=\: 360°}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{303+19x \:=\: 360°}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{19x \:=\: 360-303}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{19x \:=\: 57}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{x \:=\: \frac{19}{57}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{x \:=\: 3}[/tex]
Hence, [tex]\sf{x \:=\: 3}[/tex]
So, First angle [tex]\sf{= \:6x\: = \:6×3 \:=}[/tex] [tex]\sf\purple{18°.}[/tex]
Second angle [tex]\sf{= \:13x\: = \:13×3 \:=}[/tex] [tex]\sf\purple{39°.}[/tex]
_________________________________
Hope it helps you:)
if the prisms below are similar what is the ratio of the surface area of the smaller prism to the surface area of the larger prism
v=24
v=375
Answers
The ratio between the surfaces areas of the two prisms is equal to 6.25.
How to get the ratio of the surface areas?
The ratio between the volumes of the prisms is:
[tex]R_v = \frac{375 in^3}{24 in^3} = 15.625[/tex]
This number is equal to the cube of the scale of dilation applied to the dimensions of the smaller prism, so the scale factor is:
[tex]\sqrt[3]{15.625} = 2.5[/tex]
And the ratio between the areas should be the square of the scale factor, then we will have that the ratio between the surface areas of the two prisms is:
[tex]2.5^2 = 6.25[/tex]
If you want to learn more about scale factors, you can read:
https://brainly.com/question/3457976
Please help me find the angles marked in the above diagrams The first figure is 8cm,5cm
2. 8m,15m
3. 8.4m,6.3m
4. 105m,123m
Answers
On an average day 1/40 of the students at Brown Middle School are absent during an outbreak of flu twice as many students are absent what fraction of students is this
Answers
Convert any mixed numbers to fractions.
Then your initial equation becomes:
140×21
1
40
×
2
1
Applying the fractions formula for multiplication,
=1×240×1
=
1
×
2
40
×
1
=240
=
2
40
Simplifying 2/40, the answer is
=120
Which is a larger volume, a candle with a height of 6. 3 inches and a radius of 3. 1 inches, or a candle with both a height and a radius of 3. 9 inches?
Answers
Step-by-step explanation:
such candles are cylinders.
the volume of a cylinder is
pi×r²×height
the volume of candle 1 is
pi×3.1²×6.3 in³ = pi × 60.543 in³
the volume of candle 2 is
pi×3.9²×3.9 in³ = pi × 59.319 in³
so, candle 1 has the larger volume.
round 256.709 to the nearest tenth place
Answers
Answer: 256.7
Step-by-step explanation: the tenth place, (7) is rounded to 7 because when you round the number after the tenth place (7) the number has to be at 5 or greater inorder to change values.
PLEASE HELP ASAAPPPPPP!!!!!!!
Which statements are true, according to the graph?
A Time is the independent variable
B Time is the dependent variable
C Distance is the independent variable
D Distance is the dependent variable
E Rate of change is Δdistance/Δtime
F Rate of change is Δtime/Δdistance
G Ted's rate of change is 10 miles per hour
H Ted's rate of change is 15 miles per hour
I Jason's rate of change is 10 miles per hour
J Jason's rate of change is 20 miles per hour
K Ted's rate of change is 10 miles per hour faster than
L Jason's Jason's rate of change equals Ted's rate at one hour
Answers
Using function concepts, it is found that the correct statements are:
A Time is the independent variable.
D Distance is the dependent variable.
E Rate of change is Δdistance/Δtime
G Ted's rate of change is 10 miles per hour.
J Jason's rate of change is 20 miles per hour.
What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
In this problem, the distance depends on the time, hence distance is the dependent variable and time is independent, which means that options A and D are correct.
The rate of change is given by the change in the output(dependent) divided by the change in the input(independent), hence option E is correct.
For Ted, the rate is of 10 mph, while for Jason, it is of 20 mph. Hence options G and J are correct.
More can be learned about functions at https://brainly.com/question/25537936
Which statement is true?
A. |-2.5| >|-3|
B. |-2.5| <|-3|
C. |-2.5| = |-3|
Answers
Answer:
A. |-2.5| >|-3|
Step-by-step explanation:
Which expression is equivalent to -7 + 5a ?
-2a
-12a
5a - 7
-5a + 7
Answers
Hey there!
-7 + 5a
We DO NOT have any LIKE TERMS so we can NOT do much to this equation
So, the one that seems about right would be: -5a + 7
Answer: -5a + 7 (Option D)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I GOT THIS WRONG!! So what is the answer??
BOTS=BAN/REPORT
TROLL=BAN/REPORT
Answers
Use one of the sets and divide them to find the proportional relationship.
3 / 43.5 = 0.06896
Now since it's not in the answer choices, you round it.
0.06896 rounded to the nearest tenths is 0.7
A parallelogram has one angle that measures 125°. What are the measures of the other three angles in the parallelogram?
Answers
Answer:
the other 3 sides are 125,55 and 55 - hope this helped :)
Step-by-step explanation:
side 1 = 125
side 2 = 125
side 3 and 4 = ?
360 - 250 = 110
110/2 = 55
side 3 and 4 = 55
Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet? 1884 feet 4415.63 feet 58.88 feet 117.75 feet
Answers
The distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet
How to calculate the circumference of a circle?The formula for calculating the circumference of a circle is expressed as:
C = 2πr
r is the radius of the circle
Given the following parameters
r = 75ft
Substitute the parameters to have:
C = 2(3.14)(75)
C = 471feet
Hence the distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet
Learn more on circumference here: https://brainly.com/question/26215003
find the lateral area and surface area of each prism. please show your work.
Answers
[tex]\stackrel{\textit{\Large Lateral Area}}{\stackrel{\textit{area of the 6 sides}}{6(12)(15)}\implies 1080} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ p=\stackrel{6\times 12}{72}\\ a=10.39 \end{cases}\implies A=\cfrac{1}{2}(10.39)(72)\implies 374.04 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{lateral}{1080}~~ + ~~\stackrel{two~hexagons}{2(374.04)}}\implies 1828.08\qquad \leftarrow \textit{total surface area}[/tex]
Jared sold 194 Boy Scout chocolate bars. Matthew sold three times as many as Jared. Gary sold 297) few than Matthew. How many bars did Gary sell?
Answers
Answer:
285 choclate bars
Step-by-step explanation:
Jared: 194 choc. bars
Mathew: 3*jared=3*194=582
Gary: matthew-297=582-297=285 choc. bars
Help! Khan academy geometry practice
Answers
V = 4/3πr³ = 4/3π2³= 33.5 (rounded)
Solve:
5 = p/4
SOMEONE PLEASE HELP IM SO CONFUSED AND THEIR IS 90 QUESTIONS AND IM ONLY ON 50 AND ITS DUE THIS FRIDAY
Answers
Answer:
p = 20
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtraction
~
Isolate the variable, p, by multiplying 4 to both sides of the equation:
[tex]5 = \frac{p}{4}\\ 5 (* 4) = \frac{p}{4} (* 4)\\ 5 * 4 = p\\p = 20[/tex]
p = 20 is your answer.
~
You have to put unknowns (p) on 1 side and knowns on other side.
To get p alone you have to move the 4. Since p divides 4, you have to multiple by 4 to cancel it out. BUT Remember if you have to change one side, you have to change other side by same amount too, so the equality stays true. So multiply BOTH sides by 4
4* 5 = (p/4)*4
the 4s on the right side cancel each other because 4/4=1
So,
20 = p
Thursday: For the equation y=3x+5 what is the value of x when y=11? * *
Answers
Answer:
[tex]\huge\boxed{\bf\: 2 = x}[/tex]
Step-by-step explanation:
Given,
y = 11We need to find x.
Equation: y = 3x + 5.
On solving,
[tex]y = 3x + 5\\(11) = 3x + 5\\11 - 5 = 3x\\6 = 3x\\6 \div 3 = x\\\boxed{\bf\:2=x}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
sam has $37 to spend at a festival the price of admission is $10 and tickets to each attraction cost $0.75. how many tickets can he get
Answers
Answer:
37-10=27 then 27 / 0.75 = 36
Step-by-step explanation:
36 is your answer
Solve the equation 1.37w=0
Answers
Divide by 1.37 on both sides
w=0
Hey there!
1.37w = 0
DIVIDE 1.37 to BOTH SIDES
1.37w/1.37 = 0/1.37
CANCEL out: 1.37w/1.37 because it give you 1
KEEP: 0/1.37 because it help solve for the w-value
NEW EQUATION: w = 0/1.37
SIMPLIFY IT!
w = 0
Therefore, your answer is: w = 0
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Three students are sitting on a school bus. Cassie is 5 feet directly behind Grayson and 5 feet
directly left of Deb. Cassie makes a paper airplane and throws it to Grayson. Grayson throws
the airplane to Deb, who throws it back to Cassie. How far has the paper airplane traveled? If
necessary, round to the nearest tenth.
feet
Answers
Answer:
I think it's 15.
Step-by-step explanation:
I would double check that though cuz it kinda seems like a trick question in a way. But i'm not sure.
Consider the diagram and proof by contradiction.
Given: △ABC with ∠B ≅ ∠C
Prove: AB ≅ AC
Triangle A B C is shown. Angles A B C and B C A are congruent.
Which would prove that AB ≅ AC?
converse of the isosceles triangle theorem
substitution
definition of congruency
converse of the triangle parts relationship theorem
Answers
Answer: converse of the isosceles triangle theorem
Step-by-step explanation:
Answer:
converse of the isosceles triangle theorem
Step-by-step explanation:
Took the test
Some of the dimensions of a square pyramid are shown in the diagram. The height of the pyramid is 7.5 meters.
square pyramid
What is the volume of the square pyramid in cubic meters?
Question 8 options:
40 m3
120 m3
360 m3
60 m3
DIGRAM BELOW
Answers
Answer:
40 m^3.
Step-by-step explanation:
Volume = 1/3 * 4^2 * 7.5
= 40 m^3.
Abi takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each year. to the nearest dollar, how much does abi make over the first six years? $600,000 $618,000 $646,841 $716,431
Answers
Answer:
$646,841
Step-by-step explanation:
Got it right on Edge
Aliya lined up the interior angles of the triangle along line p below
When the measure of angle A increases in the triangle, what happens to angle A on line p?
It also increases.
Olt decreases
It stays the same.
It may increase, or it may stay the same.
Answers
Answer:
it also increases
Step-by-step explanation:
-ve Leo got 28 out of 35 questions correct on his last test. What is the decimal equivalent to the fraction of questions that Leo got correct on his last test.
Answers
Answer:
0.8
Step-by-step explanation:
28/35=number of questions Leo got right
28/35=0.8=number of questions Leo got right
if you invest 1500 today in a bank that gives you 5% annual interest eats, which of these items can you buy in two years
Answers
stacy runs 16 miles is 4.5 hours. what is stacys average speed?
Answers
Answer: Stacy's average speed is 3.55555555556 or approximate 3.56 miles per hour. Speed ≈ 3.56
Step-by-step explanation: You simply solve by taking the number of miles dividing it by the number of hours and you get 16 ÷ 4.5 which gets your answer to be approximately 3.56 miles per hour (mph). I hope this helped you! Let me know if you need me to explain more!
16 miles in 4.5 hours.
to find:the average speed.
solution:[tex]speed = \frac{distance}{time} [/tex]
[tex]s = \frac{d}{t} [/tex]
[tex]s = \frac{16}{4.5} [/tex]
[tex] = 3.5555555556[/tex]
[tex] = 3.56m |hr[/tex]
therefore, the average speed of Stacy is 3.56 m/hr.
What is the length of the Radius if AB is tangent to OB
Answers
Answer:
r = 5 units
Step-by-step explanation:
One way is to use the Pythag Theroem
12 ^2 + r^2 = (8+r)^2
144 + r^2 = 64 + 16r + r^2
80 = 16 r r = 5