Step-by-step explanation:
Hey there!!
Let angle 2 be x then,
measure of angle 1 is three less than twice of angle 2 = 2x-3.
Now, we have.
Measure of supplementary angle is 180°.
Angle 1 + angle 2 = 180°
x+(2x - 3)= 180°
3x -3=180°
3x= 180°+3°
[tex]x = \frac{183}{3} [/tex]
Therefore, x = 61°.
Now, angle 2 = 61°
angle 1 = (61×2-3)= 119°.
check (119°+61°=180°).
Hope it helps...
A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit vector
Answer: ( -0.731, 0.682)
Step-by-step explanation:
The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.
Knowing the angle, is really simple to do it.
First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:
x = R*cos(A)
y = R*sin(A)
And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
x = 1*cos(137°) = -0.731
y = 1*sin(137°) = 0.682
Then the unit vector is: ( -0.731, 0.682)
The unit vector is ( -0.731, 0.682)
The calculation is as follows:
[tex]x = R\times cos(A)\\\\y = R\times sin(A)[/tex]
And the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
so,
[tex]x = 1\times cos(137) = -0.731y = 1\times sin(137) = 0.682[/tex]
Then the unit vector is: ( -0.731, 0.682)
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If a = 5 b = 3 and c = 2
2ab =
Answer:
30
2ab=2*5*3
30
hope it helps
Answer:
30
The equation re-written would be
2 · 5 · 2 = 30
Write a decimal expansion for 2/9. Chose the correct decimal notation.
Answer:0.222222
Step-by-step explanation:
DIVIDE 2 BY 9
Which value of x makes the equation true?
X + 7 = -9
A.-16
B.-2
C. 2
D.16
the answer is:
A. -16
If _____, the Triangle)ABC and Triangle)EFD are congruent by the ASA criterion
-Angle B is congruent to angle E
-Angle C is congruent to angle E
-Angle a is congruent to angle E
If______,then triangle)ABC and triangle)EFD are congruent by the SES criterion
-AB = DE
-BC = FD
-CA = FD
Answer:
1). Angle c is congruent to angle E
2) BC=FD
Two bags contain 10 balls each. Every round, you choose with equal probability one of the 2 bags and pick out a ball. After a while, you choose an empty bag. What is the probability for the other bag to contain exactly 4 balls at that time?
a. 2.90%
b. 6.10%
c. 10.80%
d. 12.20%
Answer: b) 6.10%
Step-by-step explanation:
to find the probability for the other bag to contain exactly 4 balls at that time;
is only possible if you have chosen a particular bag 10 times and other bag 6 times.
After that, once again at the 17th attempt
so the required probability = ¹⁶c₁₀ × (1/2¹⁰ × (1/2)⁶ × (1/2)
= 0.610
CONVERT TO PERCENT
0.610 × 100
= 6.10%
A temperature recorded in Antarctica was - 122°F. The temperature recorded in the Sahara Desert was 130°F. How many degrees warmer is 130°F than - 122°F?
ebook
Answer:
252* warmer
Step-by-step explanation:
130 -(-122) = 130 + 122 = 252
Which One Doesn't Belong?
3x - 5
12x
1 + x
x2 + 5x + 6
What's the value of x in the figure? A) 78° B) 57° C) 76° D) 33°
Answer:
x = 78
Step-by-step explanation:
57° + x° = 135° (alternate angles, // lines)
x = 135 - 57
= 78
I hope this helps :)
What is the value of 4 in the number 45?
Answer:
40
Step-by-step explanation:
4 is in "Ten's place".
So, the number is multiplied with 10.
=> 4 x 10
=> 40
The value of 4 in 45 = 40
Solve equation x-9= -12
Answer: x=-3
Step-by-step explanation:
move -9 over to -12 and the 9 becomes positive and then add -12+9 and your answer will be negative
Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle. How many unique triangles can Gloria draw that meet her teachers requirements
Answer:
Just two
Step-by-step explanation:
Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle.
The presence of 90 degrees indicates that it's a right angle triangle.
The remaining angle= 180-90-42
The remaining angle= 48 degrees
Due to the presence of 90 degrees, the angle 42 and 48 degrees will interchange two times only to form only two unique triangles.
Part 1: Use the transformations to prove congruency
Answer:
See Explanation
Step-by-step explanation:
[tex] \overline{CB} ||\overline {ED}... (GIVEN) \\
\& BD\:\&\: CE \: are \: transversals\\
\angle CBF\cong \angle EDF.. (alternate \: \angle 's) \\
\overline{CB} \cong \overline {ED}..... (GIVEN) \\
\angle BCF \cong \angle FED.. (alternate \: \angle 's) \\
\therefore \triangle CBF \cong \triangle EDF.. (By \: ASA\: Postulate) [/tex]
Answer: see proof below
Step-by-step explanation:
Statement Reason
1. CB || ED 1. Given
2. ∠E ≅ ∠C 2. Alternate Interior Angle Postulate
3. ∠D ≅ ∠B 3. Alternate Interior Angle Postulate
4. CB ≅ ED 4. Given
5. ΔCBF ≅ ΔEDF 5. ASA Congruency Theorem
Simplify. Show your work 9x5+4=
Answer:
49 or 7^2
Step-by-step explanation:
9 x 5 + 4
=> 45 + 4
=> 49 or 7^2
Answer: 49
Step-by-step explanation: Multiply 9 and 5. Then add 4. Use PEMDAS.
9 × 5 = 45
45 + 4 = 49
I need help with this question !!!!!!!
Answer:
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Step-by-step explanation:
This is a simple piece wise function. Notice there are three lines or "solutions" for y-values over a range of x-values. Also notice there are filled in and not filled in circles. If the circle is not filled in, then it is not a solution. If it is, then it is a solution.
So for this, -5 is the solution if the range of x is from -5 through -3 inclusive since it has filled in circles.
-2 is a solution if the range of x is from -3 exclusive through 2 inclusive since at -3 it's open circle and 2 is filled.
5 is a solution if the range of x is from 2 exclusive through 6 inclusive since 2 it's open circle and 6 is filled.
To right that in notation simply
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Cheers.
Which of the following is equal to the opposite of −45? −(−45) −45 −|−45| −|45|
Answer:
−(−45)
I hope this helps.
Answer:
−(−45)
Step-by-step explanation:
How much is 18% Equal to in a decimal
Answer: .18
Step-by-step explanation:
Evaluate the expression: 15c4
A. 8,190
B. 32,760
C. 1,365
D. 5,460
Answer:
C. 1365
Step-by-step explanation:
The expression nCr can be written with the simple equation:
n! / ((n-r)! * r!)
So to evaluate 15C4:
15! / ((15-4)! * 4!)
= 1365
So 15C4 = 1365
Cheers.
Answer:
1365
Step-by-step explanation:
15!/4!(15-4)!
1365
Find ordered pair that is solution for liner equation 4x - 5y=20
Answer:
(0,-4) (5,0)
Step-by-step explanation:
4x-5y=20
First, we must put the equation into slope intercept form: y= mx+b
5y=4x-20=y=4/5x-4
The y intercept, by definition, is b. In this scenario, b is -4.
One ordered pair that works is (0,-4).
Also, we can find the ordered pair for the x intercept. By definition, the x intercept is the value of x when y equals zero. hence, we substitute 0 for y and then we can find an ordered pair that works and solve for x!:
0=4/5(x)-4= 4=4/5x4x=20x=5Therefore, (5,0) works as well!
NEED HELP ASAP!! I need to find out x!! Trigonometry!!
Answer:
Hey there!
Well first, don't feel bad, since trig is really hard, especially if you are just learning it.
If you've learned about SOH CAH TOA, you will see that TOA is the best identity to use here.
tangent 20=x/10
tangent 20 (10)=x
x=3.64
Let me know if you have any other trig questions, I'm always here to help :)
Perform the calculations and determine the absolute and percent relative uncertainty. Express each answer with the correct number of significant figures. To avoid rounding errors, do not round your answers until the very end of your calculations. [8.47(±0.06)]1/3=[8.47(±0.06)]1/3= absolute uncertainty: ±± percent relative uncertainty: ±± %% log[6.56(±0.05)]=log[6.56(±0.05)]= absolute uncertainty: ±± percent relative uncertainty ±± %%
Answer: (a). 0.2% (b). 0.4%
Step-by-step explanation:
This is quite straightforward, so let us follow this carefully.
(a) let us consider the expression that was given in the question;
(8.47 + 0.06)1/3 from the binomial expression,
⇒ (x + ∆x)n = xn + nxn-1∆x
So using the stated formula above
(8.47 + 0.06)1/3 = (8.47)1/3+ 1/3(8.47)1-(1/3) (0.06) = 2.038 + 1/3(8.47)(2/3) (0.06)
= 2.038 + 0.005
This gives us the algebric value as x = 2.038
Also, the uncertainity is ∆x = 0.005
Let us calculate the percentage of relative uncertainity;
Relative uncertainity percent is given thus;
⇒ (∆x / x) * 100
= (0.005 / 2.038) * 100 = 0.2%
We have that the relative uncertainity percent is 0.2%
(b). Also we will consider the expression;
log(6.56 + 0.05)
Let us apply the binomial expression to this;
log(6.56 + 0.05) = log(6.56) + ((0.05)2 / 6.56) = 0.817 + 0.003
This makes the algebric value of x = 0.817
and the uncertainity is ∆x = 0.003
Therefore the Relative uncertainity percent is = (∆x / x) * 100
= (0.003 / 0.817) * 100 = 0.4%
We have the relative uncertainity percent as 0.4%
cheers I hope this helped !!
When two lines crosses, it is found that the angle opposite each other are thesame sizes. They are known as what
Answer:
vertical angles
Step-by-step explanation:
Opposite angles that are congruent are known as vertical angles.
Hey Jean’s grandmother is teaching him how to make a salsa recipe each batch of salsa requires one for 12 cup of red onions if they have one and a half cup of red onions how many batches of salsa can they make
Answer:
Number of salsa batches produced = 18 batches
Step-by-step explanation:
Given:
1 red onion = 12 batch of salsa
Amount of red onion = one and half (1.5)
Find:
Number of salsa batches produced
Computation:
Number of salsa batches produced = 1.5 × 12
Number of salsa batches produced = 18 batches
In triangle abc, the length of side and is 10 inches and the length of side be is 17 inches . Which of the following could be the length of side ac
Answer:
a^2=b^2+c^2.
a^2=10^2+17^2.
a^2=100+289.
a^2=389.
a=√389.
a=19.72~20cm.
Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the number $2$ is written. When Ivan's teacher gives a signal, Ivan multiplies the number on his side of the board by $-2$ and writes the answer on the board, erasing the number he started with. Adeline does the same on each signal, except that she multiplies by $2$. The teacher gives 10 signals in total. How many times (including the initial number) do Ivan and Adeline have the same number written on the board (including at the beginning)?
Answer:
The number of times Ivan and Adeline have the same number written on the board is 6.
Step-by-step explanation:
Consider the procedure as follows:
On each half of the board, the number 2 is written.On Ivan's teacher's signal, Ivan multiplies the number on his side of the board by -2 and writes the answer on the board, erasing the number he started with.Adeline does the same on each signal, except that she multiplies by 2. The teacher gives 10 signals in total.Consider the numbers on each half of the board:
Ivan Adeline
2 2
2 × -2 = -4 2 × 2 = 4
-4 × -2 = 8 4 × 2 = 8
8 × -2 = -16 8 × 2 = 16
-16 × -2 = 32 16 × 2 = 32
32 × -2 = -64 32 × 2 = 64
-64 × -2 = 128 64 × 2 = 128
128 × -2 = -256 128 × 2 = 256
-256 × -2 = 512 256 × 2 = 512
512 × -2 = -1024 512 × 2 = 1024
-1024 × -2 = 2048 1024 × 2 = 2048
Thus, the number of times Ivan and Adeline have the same number written on the board is 6.
Help! ASAP pls There is a frog dead in the center of the pond on a lily pad. The pond is 7 meters in diameter. There are 6 lily pads leading to the edge, which the frog MUST jump onto if he wishes to get out. The frog can only jump to 3 pads each day. How many days will it take him to get to the edge of the pond? And give an explanation
Answer:
Approximately 2 days.
Step-by-step explanation:
The frog can only jump 3 lily pads each day.
24 hours = 1 day
[tex]\frac{24}{3}[/tex] = 8 hours
Thus, it would take the frog 8 hours to cover a lily pad.
To get to the edge of the pond, the frog would jump through 6.5 lily pads (since he is at the middle of a lily pad at the center of the pond).
So that;
Total time required to get to the edge of the pond can be determined by;
6.5 × 8 hours = 52 hours
Number of days to get to the edge of the pond = [tex]\frac{52}{24}[/tex]
= 2.2
It would take him approximately 2 days to get to the edge of the pond.
In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be (other things being equal
Answer:
15% above the trend.
Step-by-step explanation:
A time series represented by Y comprises of dataset observed over a particular period of time. Time series is handy in determining the future of a particular business.
In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be
Y = T × C × S × 1
where;
Seasonal S = 1.15
As such Y would increase by 15% above the trend if all other things are being equal.
3-7 Please Help BRAINLEST
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------
Answer: r = 7.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]17 = r + 10[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]r + 10 = 17[/tex]
Subtract 10 from both sides.
[tex]r = 17 - 10[/tex]
Subtract 10 from 17 to get, you guessed it, 7!) A basketball court is 94 feet by 50 feet. Eight fans can
fit next to each other in a 3 ft. by 3 ft. area. How
many kids would you estimate can fit side by side
over the entire floor?
Answer:
4178kidsStep-by-step explanation:
Area of the basket ball court = Length * Breadth (since it is rectangular in nature)
Area of the basket ball court = 94 feet * 50 feet
Area of the basket ball court = 4700ft²
Area of the space covered by 8 kids = 3ft * 3ft = 9ft²
To know the number of kids that would fit the entire floor, we will use the expression;
Number of kids in the floor = 8*Area of the basket ball court /Area of the space covered by 8 kids = 8*4700/9
= 8*4700/9
= 8*522.22
≈ 4,178 kids
Hence approximately 4,178 kids can fit side by side over the entire floor
Let a function f (x) = x² + 1
Find f (4):
Answer:17
Step-by-step explanation:
Plug in 4 in the place of x and then add 1
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
F(x)= x² +1
[tex] f(4) = 4 {}^{2} + 1 [/tex]
[tex] f(4)= 16+1 [/tex]
[tex]\boxed{\color{gold}{f(4) = 17}} [/tex]
[tex]<marquee direction="left" scrollamount="2" height="100" width="150">💘Mynea04</marquee>[/tex]