Step-by-step explanation:
Recall that
[tex] \cos(x + \pi) = \cos x \cos\pi - \sin x \sin\pi[/tex]
and
[tex] \sin(x - \pi) = \sin x \cos \pi - \cos x \sin \pi[/tex]
But we also know that
[tex] \cos \pi = - 1 \\ \sin \pi = 0 \: \: \: \: [/tex]
so the above relations reduce to
[tex] \cos(x + \pi) = - \cos x \\ \sin(x - \pi) = - \sin x [/tex]
Therefore,
[tex] \cos(x + \pi) - \sin(x - \pi) = - \cos x + \sin x [/tex]
y : 11 = 27 : 33 what is y
9514 1404 393
Answer:
y = 9
Step-by-step explanation:
Corresponding parts of the proportion have the same ratios. We notice that 33 is 3 times 11, so 27 is 3 times y.
y = 27/3 = 9
Help me pls this is hard
Answer:
it is C I did the before it is really easy
Find the surface area of the triangular prism
Answer:
96 i think
Step-by-step explanation:
Answer:
96 I think
Step-by-step explanation:
Question 9
Two sides of a triangle have lengths 10 and 15.
What must be true about the length of the third side?
Greater than 5 but less than 25
Less than 15
Less than 25
Answer:
Two sides of a triangle have lengths 10 and 15.
What must be true about the length of the third side?
Greater than 5 but less than 25
Less than 15
Less than 25
Step-by-step explanation:
Eugene and Jenny are selling cookie dough for a school fundraiser. Customers can buy packages
of chocolate chip cookie dough and packages of gingerbread cookie dough. Eugene sold i
package of chocolate chip cookie dough and 10 packages of gingerbread cookie dough for a total
of $174. Jenny sold 4 packages of chocolate chip cookie dough and 2 packages of gingerbread
cookie dough for a total of $50. Find the cost each of one package of chocolate chip cookie
dough and one package of gingerbread cookie dough.
.
.
Two sides of a triangle have lengths 10 and 15.
What must be true about the length of the third side?
Greater than 5 but less than 25
Less than 15
Less than 25
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Perfect square trinomial:
(a – b)2 = (a – b)(a – b) = a2 – 2ab + b2
Find the product of (k – 9)2 using the perfect square trinomial rule shown on the left.
The product (k – 9)2 can also be written as
.
The product is k2 –
k +
.
Answer:
See work below.
Step-by-step explanation:
[tex](k-9)^2=(k-9)(k-9)\\=k^2-2(k)(9)+9^2\\=k^2-18k+81[/tex]
Select 3 numbers to get the sum of 30, the numbers are 1, 3, 5, 7, 9, 11, 13, 15
i think there is a trick so the 3 nbs are 9+11+13=33
How's that we need 30
if we flip 9 we get 6
so the answer would be 6+11+13=30
PLEASE HELPPPPPP MEEEEEEE!
Answer:
124 students
Step-by-step explanation:
Girls participating in the exercise
4/15 x 285 = 76
Boys participating in the exercise
3/20 x 320 = 48
Total students participating
76 + 48 = 124
Can someone help me with this? Please and thank you!
Answer:
She should find the squares between 4.2 and 4.3
Step-by-step explanation:
The square of 4.2 was too low and the square for 4.3 was too high so the answer is between the two.
Twice a number is 14. What is the number .
Answer: 7
Step-by-step explanation: 7+7=14
I need help with this question
Pls help me ASAP show work please
Answer:
$3.48 for each pair of socks.
Step-by-step explanation:
It's a little confusing, because it says they're buying 2 socks, but then asks for the price of each of 2 *pairs* of socks. I'm going to believe the first sentence should say they paid for 2 pairs of socks.
They have $10, and get $3.04 in change. So we'll subtract $3.04 from $10 to find out the cost of 2 pairs of socks.
10 - 3.04 = 6.96
Then divide $6.96 by 2 pairs of socks
6.96/2 = $3.48 for each pair of socks.
Write the place value of the underlined digit. each answer, 1 point)
(a thousands b. hundreds ctens d. ones e tenths f. hundredths g. thousandths)
9.0631 3place?
32.158 1 place?
28.537 8 place?
Answer:
tenths
Step-by-step explanation:
ones
thousanths
Given that y2 is directly proportional to the cube of x and y is always positive. Find the
value of. when x = 3 if y = 18 when x =4
A) 27 B) 11.67 C) 29
Answer:
11.69
Step-by-step explanation:
Given that y2 is directly proportional to the cube of x and y is always positive. then;
y² = kx³
if y = 18 when x =4
18² = k4³
324 = 64k
k = 324/64
k = 5.0625
To get y when x = 3
Recall
y² = kx³
y² = (324/64)3³
y² = 324/64 * 27
y² = 136.6875
y = √136.6875
y = 11.69
Hence the value of y is 11.69
value of. when x = 3 if y = 18 when x =4
A) 27 B) 11.67 C) 29
One box has 16 apples. Another box has 24 lemons. Each apple weighs twice as much as each lemon. If A is the weight of the box of apples
and B is the weight of the box of lemons, what is?
Answer:
48
Step-by-step explanation:
The school band is ordering customized stickers to support the band. The cost for 100 stickers is $110.00 and the cost for 200 stickers is $185.00 Write an equation to show the total cost of the stickers as a function of the number of stickers ordered.
Answer:
y = 0.75x + 35
Step-by-step explanation:
y = 0.75x + 35
where: y for cost in $, x for number of stickers ordered
What is the value of
(5 1/3)^3 ?
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....Answer:
4096/27
Step-by-step explanation:
This is Exact Form
The perimeter of this rectangle is 30 units. How long is the longer side?
a. 24 units
b. 9 units
c. 5 units
d. 6 units
Answer:
b. 9 units
Step-by-step explanation:
30/2 -6 = 15-6 = 9
Answer:
9
Step-by-step explain
6+6=12
12+x=30
30-12=18
18/2 =9
If the car gets 32 miles per gallon how much does it cost you to drive 30 miles when gasoline cost 2.55
Answer:
$2.39
Step-by-step explanation:
30/32* 2.55 = $2.39
The cost to drive 30 miles is $2.39.
Here,
Car gets 32 miles per gallon.
We have to find cost to drive 30 miles when gasoline cost 2.55.
What is Multiplication?
The multiplication of two numbers is called product.
Now,
Car gets 32 miles per gallon.
Cost to drive 30 miles when gasoline cost 2.55 is;
⇒ 30/32* 2.55 = $2.39
Hence, The cost to drive 30 miles is $2.39.
Learn more about the multiplication visit:
https://brainly.com/question/1135170
#SPJ2
Select the correct difference.
-3z^7- (-5z^7)
What is another way to describe the following expression?
5−(x+y)tothepowerof3
Order the following units of a capacity families to greatest gallon paint cup quart
Answer:
7 yards
Step-by-step explanation:
A researcher selects a sample and administers a treatment for anxiety to the individuals in the sample. If the sample is used for a hypothesis test, what does the null hypothesis (H0) put forth about the treatment? *
Answer:
H0 : the treatment has no effect
Step-by-step explanation:
The test is formulated as hypothesis . Here the test ist that whether the treatment has affected or not . So the null hypothesis can be formulated as
H0 : the treatment has no effect
against the claim
Ha: the treatment has an effect.
The null hypothesis is the test performed and the alternate hypothesis is the claim against the test. Therefore they are opposite of each other.
The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!
Answer:
A. 35 ft.
B. 35 ft
Step-by-step explanation:
Please see attached photo for diagram.
A. Determination of the diagonal using pythagorean theorem.
A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:
Ist leg (L₁) = 25 ft
2nd leg (L₂) = 25 ft
Diagonal (d) =?
d² = L₁² + L₂²
d² = 25² + 25²
d² = 625 + 625
d² = 1250
Take the square root of both side
d = √1250
d = 35 ft
B. Determination of the diagonal using trigonometry.
Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e
Angle between Diagonal and each leg = 90/2 = 45°
Finally, we shall determine the length of the diagonal. This can be obtained as follow:
Angle θ = 45°
Opposite = 25 ft
Hypothenus = d
Sine θ = Opposite / Hypothenus
Sine 45 = 25 / d
0.7071 = 25 / d
Cross multiply
0.7071 × d = 25
Divide both side by 0.7071
d = 25 / 0.7071
d = 35 ft
Can someone help please? 3 |x+1|>5
Answer:
The Answer as you see
Step-by-step explanation:
Have a good luck with ur Exam
Select the false statement about inverse relations.
a. The range of a function will be the domain of its inverse.
b. The graphs of inverse relations are reflections in the line y=x.
c. The inverse of a function will always be a function.
d. The domain of a function will be the range of its inverse.
Answer:
THE ANSWER IS B
Step-by-step explanation:
B mine please im so single
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Answer:
1/18
Step-by-step explanation:
[tex]\frac{1}{9}[/tex]÷2
make 2 a fraction
[tex]\frac{1}{9}[/tex]÷[tex]\frac{2}{1}[/tex]
cross multiply
1*1
9*2
[tex]\frac{1*1}{9*2}[/tex]
[tex]\frac{1}{18}[/tex]
Answer:
Step-by-step explanation:
You always invert the second number in a division question and then multiply. This one is a little different. It has three levels. What do you do about that?
[tex]\frac{\frac{1}{9} }{\frac{2}{1} }[/tex]
Now you have a four level question which is handled the same way as all four level question.
Invert the bottom and multiply. Invert means turn upside down. So you turn the 2/1 upside down and you get 1/2
[tex]\frac{1}{9}*\frac{1}{2}[/tex]
What you get is 1/18 The green box with the question mark is a 1.
A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey is randomly selected , what is the probability that they lived in 2 or more states and that they have a college degree? P( 2 state or more U Degree )
0.655
0.111
0.310
0.500
Solution :
P(2 states or more | college degree)
[tex]$=\frac{\text{P( 2 states or more and college degree)}}{\text{P(college degree)}}$[/tex]
Total number of people = 58
The number of people who lived in two states or more than two states and also have a college degree = 18
Therefore,
[tex]$\text{P(2 states or more states and college degree)} = \frac{18}{58}$[/tex]
The number of people who have a college degree = 20
So, [tex]$\text{P(college degree)} = \frac{20}{58}$[/tex]
Thus,
[tex]$\text{P(2 states or more/college degree)}=\frac{\frac{18}{58}}{\frac{20}{58}}$[/tex]
[tex]$=\frac{18}{20}$[/tex]
= 0.900
Pleaseeeee help me with this question
Please also on this 1
A birthday cake was cut into equal pieces, and five pieces were eaten. The fraction below shows how much cake was left over. According to the fraction, into how many pieces was the cake cut? 8 /13
A. 5
B. 13
C. 18
D. 8
Answer:
13
Step-by-step explanation:
Answer:
B. 13
Step-by-step explanation:
if 5 were eaten, that's 5/13, and there's 8/13 left. 5 out of thirteen total were eaten and 8 out of thirteen total were left.