Answer:
D and EStep-by-step explanation:
A. 5/6 + √12/3 = 5/6 +2√3/3 = 1/6( 5 + 4√3)
→ IrrationalB. 5/6 × √12/3 = 5/6 × 2√3/3 = 5√3/9
→ IrrationalC. 5/6 × √12 = 5/6 × 2√3 = 5√3/3
→ IrrationalD. 5/6 - √36/3 = 5/6 - 6/3 = 5/6 - 12/6 = -7/6
→ RationalE. 5/6 + √36/3 = 5/6 + 6/3 = 5/6 + 2 = 2 5/6
→ Rationalmn + p = 2
Solve for m
Answer:
m = [tex]\frac{2-p}{n}[/tex]
Step-by-step explanation:
Given
mn + p = 2 ( subtract 2 from both sides )
mn = 2 - p ( isolate m by dividing both sides by n )
m = [tex]\frac{2-p}{n}[/tex]
Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month?
Answer:
$840
Step-by-step explanation:
price of 1 vacuum cleaner = $150
total no . of vacuum cleaner sole = 70
thus,
price of 70 vacuum cleaner sold = 70*price of 1 vacuum cleaner
price of 70 vacuum cleaner sold = 70*$150 = $10,500
commission of Alonzo = 8% of total vacuum cleaner sold
commission of Alonzo = 8% of $10,500
commission of Alonzo = 8 /100 * $10,500 = $840
Thus, Alonzo made $840 in past month
Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated in quadrant 1? Why?
A. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of angles are congruent
B. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of angles are congruent
C. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of sides and corresponding pairs of angles are congruent
D. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of sides and corresponding Pairs of angles are congruent
Choose a justification for each step in the derivation of the sine difference identity.
Answer:
Step-by-step explanation:
The missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even and sine function is odd respectively.
Given:
The given expression is [tex]\sin (x-y)[/tex].
To find:
The justification for each step.
Explanation:
Cofunction identities:
[tex]\sin\left(\dfrac{\pi}{2}-x\right)=\cos x[/tex]
[tex]\cos\left(\dfrac{\pi}{2}-x\right)=\sin x[/tex]
Cosine difference identity:
[tex]\cos(x-y)=\cos x\cos y+\sin x\sin y[/tex]
Cosine function is even, so [tex]\cos(-x)=\cos x[/tex].
Sine function is odd, so [tex]\sin(-x)=-\sin x[/tex].
We have,
[tex]\sin (x-y)[/tex]
[tex]=\cos\left|\dfrac{\pi}{2}-(x-y)\right|[/tex] Step 1: Cofunction identity
[tex]=\cos\left|\dfrac{\pi}{2}-x+y\right|[/tex] Step 2: Distributive property
[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)+y\right|[/tex] Step 3: Associative property
[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)-(-y)\right|[/tex] Step 4: Factoring out
[tex]=\cos\left(\dfrac{\pi}{2}-x\right)\cos(-y)+\sin\left(\dfrac{\pi}{2}-x\right)\sin(-y)[/tex] Step 5: Cosine difference identity
[tex]=\sin(x)\cos(-y)+\cos(x)\sin(-y)[/tex] Step 6: Cofunction identity
[tex]=\sin(x)\cos(y)-\cos(x)\sin(y)[/tex] Step 7: Cosine function is even, sine function is odd
Therefore, the missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even, sine function is odd respectively.
Learn more:
https://brainly.com/question/20919234
gia puts 24 stickers into 4 equal groups how many stickers are there in each group Enter the correct answer in the box
Answer:
6
Step-by-step explanation:
just do 24 divided by 4 and you get 6 and to check it do 6*4 and its 24
!!!ANSWER ASAP 100 POINTS!!! ANSWER BOTH AND TELL ME EXACTLY WHAT GOES IN EACH BOX
Answer:
1. 7¹⁰
2. 9⁸
Step-by-step explanation:
1. 7 = 7¹
Hence, using the rules of indices..... you would add the exponents when numbers that have the same base are multiplied together.
7⁹⁺¹ = 7¹⁰
2. Add exponents
9²⁺⁶ = 9⁸
I need a quick reply if possible
Answer:d
Step-by-step explanation:
Answer:
d is the answer to your question
x–2(x+1)+3(x+2)=x–4
(show work too please)
Answer:
x = -12
Step-by-step explanation:
x-2(x+1)+3(x+2) = x-4 (equation)
x-2x+2+3x+6 = x-4 (simplify)
2x+8 = x-4 (combine like terms)
x+8 = -4 (subtract x from both sides)
x = -12 (subtract 8 from both sides)
Plz Help!
A function f represents the percentage of life remaining in a cell phone battery. The life of a cell phone battery is dependent on the number of minutes, a , that a cell phone has been in use. In the context of the problem, explain the meaning of the following statements:
D. f(22)
E. f(a) = 50
Answer:
I need help with that too
Step-by-step explanation:
Joan Buys a large pizza and divide it equally among her 4 friends how many pizza does each friend get
Answer:
Just like the first one the answer should be 1/4 because you divide it equally among 4 friends
Step-by-step explanation:
The co-interior angle of 105 degree is
Answer:
[tex]75 \: \: degrees[/tex]
Step-by-step explanation:
[tex]180 - 105 =7 5[/tex]
The sum of the co interior angles is 180 degrees
Point Ris on line segment QS. Given QR = 3x – 8, QS = 3x, and
RS = 2x, determine the numerical length of RS.
Answer: RS
Submit Answer
attempt 1 out of 2
Answer:
RS = 8
Step-by-step explanation:
Given that R is on QS , then
QR + RS = QS , substitute values
3x - 8 + 2x = 3x , that is
5x - 8 = 3x ( subtract 3x from both sides )
2x - 8 = 0 ( add 8 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus
RS = 2x = 2 × 4 = 8
If a player had the following cards what is the value of his hand?
00:00 Choose all of the addition problems in which you add zeros to align place values in the addends. A. 0.04 + 5 + 3.2 B. 18.9 +0.7 C. 1.2 +5.75 +2.8 D. 6.23 + 11.01 + 4.99 o E 15.03 - 23.23 its a mutiple choice question
Answer:
a-8.24 b-19.6 c-9.75 d-17.24 e-−8.2
Step-by-step explanation:
18x (14 - 9) ÷[12 - (19 - 13)] = what is the answer
Answer:
15
Step-by-step explanation:
18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]
18 . ( 5 ) ÷ [ 12 - 6 ]
90 ÷ 6
15
solve the proportion 1/6 ÷3/4
Answer:
the answer is 2/9
Step-by-step explanation:
1/6 ÷ 3/4
= 1/6 × 4/3
= 4/18
= 2/9
Write the equation of the graph to the right in Slope Intercept Form.
Answer:
y= 3x + 5
Step-by-step explanation:
find your slipe and intercept using y=mx + b. mx, being slooe you'd use rise over run. And the b is your y-intercept, being 5.
1. − p + 6p ≤ 4 + 6p
Step-by-step explanation:
-p + 6p <_ 4 + 6p
5p <_ 4 + 6p
-4 <_ p
-4 less than or equal to p
Which of the following is equivalent to
the expression below?
7h +1
A. h +7
B. 7(h + 1)
C. (5h + 2) + 1
D. (5 + 2)h + 1
o
O
D
What is the product of 2.52 and 3.4?*
Answer:
The answer is D
Step-by-step explanation:
(5+2)h+1 add 5 and 2 together and you get 7h+1
Find the vertex of the graph of the function.
f(x) = 3x^2 - 18x + 24
O (4,-2)
O (-2, 4)
O (-3,3)
O (3,-3)
The table shows four swimmers who raced against each other at a swim meet.
Which list shows the swimmers in order by their completion times from slowest to fastest
Answer:
Since you didn't provide the answer choices, it should look like something like this:
(from slowest to fastest)
Addison
Michael
Bryce
Susan
Explanation:
When you convert all the fractions into decimals, you can see and compare times easier.
Susan > 25.09
Bryce > 25.50
Addison > 25.80
Michael > 25.33 (the 3's go on practically forever, thats why it is usally shortened.)
A circular pool has an area of approximately 154 square feet. To the nearest foot, how much fencing is needed to completely surround the pool?
Given parameters:
Area of pool = 154ft²
Unknown:
The circumference or perimeter of the pool = ?
Solution:
The amount of fencing needed for the pool is the same as the circumference of the pool or the perimeter of the pool.
To solve this problem, we need to find the radius from the given area.
Area of a circle = π r²
154 = π r²
r² = [tex]\frac{154}{3.142}[/tex] = 49
r = 7ft
Now the circumference of a circle = 2 π r
= 2 x π x 7
= 44ft
The circumference of the circle is 44ft
i dont understand what the question is asking
Answer:
-9 ≤ x
Step-by-step explanation:
Thsi is probably right
hello me please asap
Answer:
7,10,19 and 4,5,9
Step-by-step explanation:
According to the Triangle Inequality theorem, then largest side of a triangle must be smaller than the sum of the smaller sides. For example, in 5,6,8, the largest side is 8, and 5 + 6 = 11, which is larger than 8. 7 + 10 = 17, which is not larger than 19, and 4 + 5 = 9, which is not larger than 9
4. Classify the number 15.
A. Whole, integer, rational, real
B. Natural, whole, integer, rational, real
C.Integer, rational, real
D. rational, real
what is 9x2y-3 if x = 5 and y = 3.
Answer:
267
Step-by-step explanation:
Find the perimeter of triangle A(-2,2), B(10,2), C(10,7).
Answer:
I believe the answer is 30 units
Step-by-step explanation:
Which rate can you set StartFraction 7 miles Over 1 hour EndFraction equal to in order to find the distance traveled in 49 hours at 7 miles per hour?
StartFraction 7 hours Over question mark miles EndFraction
StartFraction 49 hours Over question mark miles EndFraction
StartFraction question mark miles Over 7 hours EndFraction
StartFraction question mark miles Over 49 hours EndFraction
Answer (It should be D, or ? miles
------------
49 hours
Step-by-step explanation:
If i'm wrong then oh-well i took my unit test online then got the answer wrong so i could see which one was correct before i actually took the unit test... hope i'm correct for you..this is correct on my unit test practice!
Which answer choice shows two hundred two and two thousandths?
OA) 200.02
B) 200.202
OC) 202.02
OD) 202.002
Answer: D
Step-by-step explanation:
Two hundred two =202
The thousands place is the third place=.002
Answer:
D
Step-by-step explanation:
3.6 + 8.3 find the sum plz need help
Answer:
11.9
Step-by-step explanation:
just add the two numbers :)
Answer:
the answer 11.9
Step-by-step explanation:
add by lining up the decimals