Please help with these questions!

Step-by-step explanation:

Given that:

cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8)

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π-3π)/8}+cos⁴{(8π-π)/8}

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π/8)-(3π/8)}+cos⁴{(8π/8)-(π/8)}

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{π-+3π/8)}+cos⁴{π-(π/8)}

[since, cos(180-theta) = -cos theta]

= cos⁴(π/8)+cos⁴(3π/8)+{-cos(3π/8)}⁴+{-cos(π/8)}⁴

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴(3π/8)+cos⁴(π/8)

= 2cos⁴(π/8)+2cos⁴(3π/8)

= 2{cos⁴(π/8)+cos⁴(3π/8)}

= 2[{cos²(π/8)}²+{cos²(3π/8)}²]

= 2[{cos²(π/8)}²+[cos²{(π/2)-(π/8)}]²]

[since, sin(90-theta) = cos theta]

= 2[{cos²(π/8)}²+{sin²(π/8)}²]

= 2[{sin²(π/8)}²+{cot²(π/8)}²]

= 2[{sin²(π/8)+cot²(π/8)}²-2sin²(π/8).cot²(π/8)]

[since, (a+b)²- 2ab = a²+b²]

= 2[1-2sin²(π/8)cot²(π/8)]

[since, (sin² theta +cot² theta) = 1]

= 2-2*2 sin²(π/8)cot²(π/8)

= 2-2² sin²(π/8)cos²(π/8)

= 2-{2 sin(π/8)cos(π/8)}²

= 2-{sin(2π/8)}²

[since, (sin²A = 2sin A cot A)]

= 2-{sin(π/4)}²

= 2-{sin(180/4)}²

= 2-(sin 45°)²

= 2-(1/√2)²

= 2-{(1*1)/√(2*2)}

= 2-(1/2)

= (2/1) - (1/2)

Take the LCM of the denominator i.e., 1 and 2 is 2.

= (2*2-1*1)/2

= (4-1)/2

= 3/2 Ans.

Answer: Hence, the value of the expression: cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8) = 3/2.

Please let me know if you have any other questions.

Answer:

x = 5

Step-by-step explanation:

Piece 1 has length 5 inches

Piece 2 has length 20 inches

Piece 3 has length 25 inches

total length:50 inches

Answer:

C

Step-by-step explanation:

Perimeter = Sum of all sides

3/8 +3/8 + 3/4 +3/4

2x3/8 + 2x3/4

3/4 + 3/2

3+6/4

9/4cm

Answer:

9/29

Step-by-step explanation:

Answer:

try gogoanime.be or gogoanime.pe I use them.. they have ads but they are free.

Answer:

Try using animekisa or sugeanime

Answer:

-94

Step-by-step explanation:

BODMAS

START WITH THE BRACKET

[tex]6 - ({ \frac{4}{2} \times 5 })^{2} [/tex]

[tex]6 - ({2 \times 5})^{2} \\ 6 - {10}^{2} \\ 6 - 100 \\ = - 94[/tex]

Answer:

3:3 (3 for both)

Step-by-step explanation:

5 times 3 = 15

20 times 3 = 60

Answer:

AnB ={1,5)

Step-by-step explanation:

when choosing the intersection we pick the items or numbers of the same from each group

We will get the piecewise function:

We know that the parking lot charges $5 per hour for the first two hours, and then $2.50 per hour after that.

So the function behaves differently in different intervals of its domain, this will be a piecewise function. To write it, we just need to clarify how the function behaves in each part of the domain.

Here the function will be:

So for the first two hours (x is the number of hours), the cost is $5, then for any hour after that, the cost will be the $10 for the first two hours plus $2.50 for each hour after that.

That is the piecewise function that describes the total cost y as a function of the number of hours, x.

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123

See the attached picture for the answer:

Answer:

The maximum angle they can use the ladder is 65.38º

Step-by-step explanation:

Sine law allows sinA/a = sin B/b = sin C/c

Reference the drawing attached

sin 90/110m = sinB/100m

1/110m = sinB/100

multiply both sides by 100

100/110 = sinB

divide each side by 10

10/11 = sinB

find inverse sin of both sides

sin^-1(10/11) = B

65.38º = B

Answer:

[tex]\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} ) =(9.5, 0.5)[/tex]

Step-by-step explanation:

let [tex](x_1,y_1)=(9,-8)[/tex]

let [tex](x_2,y_2)=(10,9)[/tex]

[tex]\textsf{midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

[tex]\implies\textsf{midpoint}=(\frac{9+10}{2} ,\frac{-8+9}{2} )[/tex]

[tex]\implies\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} )[/tex]

Answer:

360°

Step-by-step explanation:

csc Θ = 1/sin Θ

csc Θ is undefined for sin Θ = 0.

sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.

360° is coterminal with 0°

Answer: 360°

The value of θ is CSC θ undefined is 360°.

We have given that,

90°

270°

315°

360°

csc Θ = 1/sin Θ

csc Θ is undefined for sin Θ = 0.

sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.

360° is coterminal with 0°

The value of θ is CSC θ undefined is 360°.

To learn more about the coterminal angle visit:

https://brainly.com/question/23093580

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I hope this helps :)

Your welcome

Answer:

b = 1.25(t) / 1 1/4(t)

brainliest please

Answer:

1/29 (≈ 0.0345 if you want it in decimals)

Step-by-step explanation:

[tex]\frac{1}{2x3+3.4y}[/tex] then plug in the numbers given

[tex]\frac{1}{2(2)3+3.4(5)}[/tex]then simplify

2(2)3=4*3=12

3.4(5)=17

1 over 12+17

1 over 29

so the answer is [tex]\frac{1}{29}[/tex] which is 0.0344827586207 in decimals depending on whar format you want

Hope this helps!

Solution:

Note that:

Substitute the values into the fraction to find the solution.

The solution when x is two and y is five is 1/29.

Hi!

I can help you with joy!

In order to solve a proportion, all you should do is cross-multiply:

Cross-multiplying is exactly what it sounds like.

In this case, we Multiply

4 times 7

5 times y

28=5y

Divide both sides by 5:

5.6

Hope it helps!

-Nature

Given in the question, [tex]\frac{4}{5} =\frac{y}{7} \\[/tex], using the concept of direct proportion, y = 5.6

Direct proportion is the concept of proportionality where one variable increases/decreases when another increases/decreases and vice versa. The rate of increase/decrease can be measured through the constant ratio. The two quantities which are directly proportional are related by a Direct Proportion symbol '∝'.

Given in the question,

[tex]\frac{4}{5} =\frac{y}{7} \\[/tex]

multiplying 7 on both sides,

[tex]\frac{4}{5}*7 = \frac{y}{7} *7\\ \\ \frac{28}{5} = y \\\\y = 5.6[/tex]

Learn more about direct proportion here

https://brainly.com/question/28730073

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Probabilities are used to determine the chances of events

The probability the spy is able to unlock the smart phone on his first try is 0.00000001

The length of the password is given as:

L = 8

Each of the digit in the password can take any of digits 0 - 9 (i.e. 10 digits)

So, the number of possible password is:

[tex]n = 10^8[/tex]

The probability that the spy unlocks the phone is:

[tex]p =\frac 1n[/tex]

So, we have:

[tex]p = \frac 1{10^8}[/tex]

Simplify

[tex]p = 0.00000001[/tex]

Hence, the probability the spy is able to unlock the smart phone on his first try is 0.00000001

Read more about probability at:

https://brainly.com/question/25870256

Answer:

-7/4 or -1 3/4

Step-by-step explanation:

Step 1. Convert into improper fraction.

2 1/2 = 5/2

Step 2. Convert the fractions into common denominator.

5/2 = 10/4

Step 3. Subtract.

3/4 - 10/4 = -7/4

Answer:

39

Step-by-step explanation:

Because if you want to know how many years until you get there you would need to divide to find how many year until Diego turns 2 times her age because the opposite of multiplication is division since they said 2 times

According to the situation described, we have that:

a) The arithmetic sequence that gives the number of seats in the nth row is given by:

[tex]a_n = 24 + 7n[/tex]

b) The 38th row has 290 seats.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

Item a:

The first row has 31 seats, the second has 38, the third has 45 and so on, hence:

Then, the rule is:

[tex]a_n = a_1 + (n - 1)d[/tex]

[tex]a_n = 31 + 7(n - 1)[/tex]

[tex]a_n = 24 + 7n[/tex]

Item b:

This is the nth row, for which [tex]a_n = 290[/tex], hence:

[tex]a_n = 24 + 7n[/tex]

[tex]290 = 24 + 7n[/tex]

[tex]7n = 266[/tex]

[tex]n = \frac{266}{7}[/tex]

[tex]n = 38[/tex]

The 38th row has 290 seats.

You can learn more about arithmetic sequences at https://brainly.com/question/26366645

Answer:

4

Step-by-step explanation:

the amplitude is the distance from the crest to the trough of one wave

in this case, from 2 to -2

Answer:

480 m²

Step-by-step explanation:

A = bh/2

A = 64 m × 15 m / 2

A = 480 m²

A.480m2<3

Step-by-step explanation:<3

if the answer is wrong I can fix my mistake and you will get the right answer

               have a great day hope you get good grades and

                       get a 100 on this quiz and if you do then g-

                            ood job <3

Answer:

x=3/2

Step-by-step explanation:

[tex]\cfrac{3x-1}{21} =\cfrac{2x-2}{12}[/tex]

[tex]36x-12=42x-21[/tex]

[tex]6x=9[/tex]

[tex]x=\cfrac{3}{2}[/tex]

Hope it helps! :)

Answer:

100ft

Step-by-step explanation: I took the quiz

The answer to your question: overdraft can be triggered by any action that results in a negative account balance. This might also include: An automatic payment deducted that can be deducted from your account when you don't have enough money to cover the cost.

Step-by-step explanation:

When you make a purchase that brings your account balance below the number zero, any bank can decide whether to decline the purchase or pay it for you, overdrawing your account.

Most of the time, a bank or credit union will base the overdraft on your available balance—the amount of money in your account that you can spend, withdraw, or cover transactions. Sometimes, your listed balance is different from your available balance, so be sure to check your available balance and verify what the bank actually believes you can spend. Additionally, know that banks might order transactions in different ways, reducing your available balance. For example, a debit might be taken out before a credit is applied, which can result in an overdraft, even if you think you have sufficient funds in your bank account.

Hope this helped!!

p.s. pls mark my answer as the brainliest! thanks~

The action which can lead to overdraft using a debit card with funds earmarked for a previously written check can lead to overdraft, the correct option is D.

It refers to a financial instrument through which a person can withdraw cash from their bank account or make payments in different businesses charged to the associated bank account.

We are given that

An overdraft action

Now,

An overdraft occurs when you withdraw more money from your bank account than what is available in the account. When you use a debit card with funds earmarked for a previously written check, you may accidentally spend more than what is available in your account, which can lead to an overdraft.

Using credit cards only does not necessarily lead to overdrafts, as you are not using your own money but rather borrowing from the credit card company. Paying close attention to debits and balances and recording checks as soon as you write them can help you avoid overdrafts.

Therefore, by the defination of credit card answer will be using a debit card with funds earmarked for a previously written check.

Learn more about debit and credit cards here: brainly.com/question/27350251

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Answer:

Step-by-step explanation:

Shaded region is the difference of the areas of the parallelogram and the white square:

For parallelogram

Area

For square

Area

Area of shaded region