Answer:
50
Step-by-step explanation:
If everyone scored 50, the average is just 50.
The math would also be:
50 + 50 + 50 + 50 + 50 / 5 = 250 / 5 = 50
Answer:
50
Step-by-step explanation:
In short explanation, since all the students scored the same score, the average will be the that score
Since all students scored 50, the average will be 50.
Proof:
[tex]50 + 50 + 50 + 50 + 50 = 250[/tex]
[tex]250 \div 5 = 50[/tex]
Match the tangent and sine angles to their expressions.
Answer:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = 2 + \sqrt{3}[/tex]
Step-by-step explanation:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ})[/tex]
sin(-15°) = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)
sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2
1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4
sin(-15°) = ((√2) - (√6))/4
[tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ}) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ})[/tex]
tan(15°) = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))
(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))
((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))
(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6
(2 - √3)
[tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ}) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ})[/tex]
tan(75°) = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))
(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)
((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))
(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6
(12 + 6·√3)/6 = 2 + √3
[tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ}) = 2 + \sqrt{3}[/tex]
A portion of Raúl’s check register is shown. His checking account had a balance of $539.50 on April 2.
Answer:
Yes correct
Step-by-step explanation:
Answer:
Thank You!
Step-by-step explanation:
You the people that are good
Stefan I calculated the mean absolute deviation for the data set 32,4,12,40,20 and 24
Answer:
Ok?
Step-by-step explanation:
help pls
a quadrilateral with all sides congruent and all angles required to be equal to 90 us called a
Answer:
square
Step-by-step explanation:
Hope this helps.
Answer:
D
Step-by-step explanation:
Help it’s due today
Step-by-step explanation:
1. 16
2. 16
3. 24
4.39
5. 68
6. 51
Answer:
1 is letter d
2 is letter d
3 is letter e
4 is letter b
5 is letter a
6 is letter f
your very welcome
Step-by-step explanation:
2. Describe the role of the line of reflection in a transformation. (Lesson 2)
Answer:
It pretty much just mirrors the image or points but on the other side of the line of reflection :D
Step-by-step explanation:
Find a formula for the nth term
of the arithmetic sequence.
First term -12
Common difference 4
Answer: aₙ = -12 + (n - 1) 4
Step-by-step explanation:
aₙ = a + (n - 1) d
a = -12
d = 4
aₙ = -12 + (n - 1) 4
Answer:
a(n)=4n-16
Step-by-step explanation:
for those of you who are on acellus
What value of x makes this equation true? 25 = -7 + x
Answer:
x=32 makes this equation true
Step-by-step explanation:
Well first we have to solve this to see-
25=-7+x Add 7 to both sides to get x by itself
+7 +7 Adding 7 to -7 makes it 0 so it goes away
32=x This is our final answer
x to the second power is 49 what is x?
Answer:
7 or -7
Step-by-step explanation:
the question is asking for x to to the second power which is x squared or x^2
so setting x^2=49
square root both sides of the equation so that x is by itself and the other side is just ±√(49). which ±√49 is just 7 or -7
Hope that helps :)
Please gve brainliest
Name two pairs of adjacent angles and two pairs of vertical angles in
the figure.
Can anyone help with 1 and 2?
Answers are
1.
∠ABC and ∠EBD are vertical angles.
∠ABE and ∠CBD are vertical angles.
∠ABE and ∠DBE are adjacent angles.
∠ABC and CBD are adjacent angles.
2.
∠LMN and <RMQ are vertical angles.
∠SML and ∠QMP are vertical angles.
∠LMN and ∠PMN are adjacent angles.
∠NMP and ∠PMQ are adjacent angles.
Adjacent and vertical angles:
Adjacent angles: Two angles with a common arm and vertex are called adjacent angles.
They share a common arm and common vertex.
Adjacent angles are not always equal in measure
Vertical angles: When two lines intersect each other, then the pair of opposite angles formed at the vertex are called vertical angles.
They share a common vertex, but no common arm.
Vertically opposite angles are equal in measure.
(Here)
For question - 1,
∠ABC and ∠EBD are vertical angles.
∠ABE and ∠CBD are vertical angles.
∠ABE and ∠DBE are adjacent angles.
∠ABC and CBD are adjacent angles.
For question - 2,
∠LMN and <RMQ are vertical angles.
∠SML and ∠QMP are vertical angles.
∠LMN and ∠PMN are adjacent angles.
∠NMP and ∠PMQ are adjacent angles.
Learn more about Adjacent angles and vertical angles here:
https://brainly.com/question/12838185?referrer=searchResults
#SPJ2
X and Y are mathematically similar chocolate boxes.
Y
X has a volume of 130 cm^3 and a surface area of 202^2 cm?.
The volume of Y is 638.69 cm^3.
What is the surface area of Y?
Answer:
992.43 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume of shape X (Vₓ) = 130 cm³
Surface area of shape X (SAₓ) = 202 cm²
Volume of shape Y (Vᵧ) = 638.69 cm³
Surface area of shape Y (SAᵧ) =?
The surface area of shape Y can be obtained as follow:
Since the shape are similar, then:
Vₓ / Vᵧ = SAₓ / SAᵧ
130 / 638.69 = 202 / SAᵧ
Cross multiply
130 × SAᵧ = 638.69 × 202
130 × SAᵧ = 129015.38
Divide both side by 130
SAᵧ = 129015.38 / 130
SAᵧ = 992.43 cm²
Thus, surface area of shape Y is 992.43 cm²
Help&EXPLAIN
•••••••••••••••••••
Answer:
The surface area is 200.96 square feet
Step-by-step explanation:
Given
[tex]r = 2[/tex]
[tex]h =14[/tex]
Required: Determine the surface area
This is calculated using:
[tex]SA = 2\pi r^2 + 2\pi rh[/tex]
So:
[tex]SA = 2 * 3.14 * 2^2 + 2 * 3.14 * 2 * 14[/tex]
[tex]SA = 25.12 + 175.84[/tex]
[tex]SA =200.96[/tex]
PLSSSS HELP!
11^9–11^8+11^7 is divisible by 3 and 37.
Answer:
No.2163075981
Step-by-step explanation:
Carlos is making some observations from the roof of a building. Which angle is the angle of elevation from the car to
Carlos?
a ZPKI
b. ZJIK
C. ZPIK
d. ZKPI
Please select the best answer from the choices provided
B
Submit
Answer:
PIK is the angle of elevation from car to Carlos.
Answer:
C.
Step-by-step explanation:
PLEASE HELP ASAP!!!! I CAN GIVE BRINLIEST!!!!A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week. (2 points)
A) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
B) No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
C) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
D) Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
pretty sure its c if not than d
Step-by-step explanation:
5 in.
2 in
4 in.
5 in.
Answer: 8.32462851 × 10-5 m4
Step-by-step explanation: I multiplied them and got this. Hope this helps :)
Determine which lines, if any, are parallel or perpendicular. Explain
Line a: 2x-7y=14
Line b: y=7/2x-8
Line c: 2x+7y=21
Answer:
line b and c are perpendicular because the product of their slope is -1
Step-by-step explanation:
For two lines to be parallel they must have the same slope
For two line to be perpendicular, the product of their slope must be -1
Line a: 2x-7y=14
Rewrite in the form y = mx+c
-7y = -2x + 14
y = -2/-7 x + 14/-2
y = 2/7x - 7
The slope of line a is 2/7
Line b: y=7/2x-8
This is already in standard format
mx = 7/2 x
m = 7/2
The slope of line b is 7/2
Line c: 2x+7y=21
Rewrite in standard form
7y = -2x + 21
y = -2/7 x + 21/7
y = -2/7 x + 3
The slope of line c is -2/7
Take the product of line b and c
mb * mc = 7/2 * -2/7
mb * mc = -1
Hence line b and c are perpendicular because the product of their slope is -1
Which expressions are equivalent to equivalent to (V84 164 ) ? Select all that apply.
Answer:
simplifying this expression (√8^4 × √6^4)^3/2 = 110592
so 2^12 ×3^3= 110592
similar 2^9 ×6^3 =110592
Determine if the graphs of each pair of equations are parallel or perpendicular
y=−4x−12
4x+y=3
Answer:
they are parallel to each other, use desmos graphing calculator, that thing is GOAT
Step-by-step explanation:
What is the image point of (8,-3) after a translation right 5 units and down 5 units?
Answer: (13, -8)
Step-by-step explanation:
Subtract 5 from -3
Add 5 to 8
Find the magnitude of the vector from the origin to (-7, -5) and write the vector as the sum of unit vectors.
Answer:
b. 75,71 +57
Step-by-step explanation:
edge
Answer:
B on edg2021
Step-by-step explanation:
just took the test
find the distance between points u and v in the coordinate plane
Answer:
there is no info
Step-by-step explanation:
Determine how Marilyn’s net pay will be affected if she increases her federal withholding allowances from 3 to 4.
What is the whole question?
Which one of the following fractions is the greatest?
A. 1/2
B. 2/3
C. 3/4
D. 5/12
Answer:
[tex]c. \: \frac{3}{4} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2} = 0.5 \\ \frac{2}{3} = 0.667 \\ \frac{3}{4} = 0.75 \\ \frac{5}{12} = 0.417[/tex]
Find the value of y. *
40
80
140
100+2y = 180
2y=180-100
2y=80
y=40
Decide if the function is an exponential function. If it is, state the intial value and the base. y = 5 ^ x
Answer:
B
Step-by-step explanation:
What is the distance between (-3, 5) and (-3,-4)?
Answer:
9 units
Step-by-step explanation:
the distance from 5 and -4 is 9
5(to)0= 5 -4(to)0=4 5+4=9
not a very good explanation but hope it helps
Simplify the following expression:
6b + 3ab + 4b + 3
O 2b
O 10b + 3ab + 3
O 13b + 3
06b + 3ab + 4b + 3
Answer:
6b+4b first because you have to combine like terms so 10b and the others aren't like terms so you just plug them in so 10b+3ab+3
The governor's approval rating dropped by 40% to 18%. What was his approval rating before?
Answer:
58%
Step-by-step explanation:
58 cuz 40+18=58
A weather station on the top of a mountain reports that the temperature is currently 14°C and has been falling at a constant rate of 9°C per hour. If it continues to fall at this rate, find each indicated temperature. What will the temperature be in 2 hours? What will the temperature be in 5 hours? What will the temperature be in half an hour?
Answer: 2 hours=6 degrees C
5 hours=-31 degrees C
Half an hour=9.5 degrees C
I hope this helps. Sorry if I made a mistake. Good luck!
Step-by-step explanation:
9 x 2 hours = 18 C 14-8= 6 degrees C
9 x 5 hours = 45 C 14-45= -31 degrees C
9 x 0.5 = 4.5 C 14-4.5= 9.5 degrees C