Is this is the right answer, I divided 17/20?

Answer:

-[tex]\sqrt{\frac{2-\sqrt{2}}{4}[/tex]

Step-by-step explanation:

The cosine half-angle formula is

[tex]cos\frac{\pi }{2}[/tex]=±[tex]\sqrt{\frac{1+cosx}{2} }[/tex]

we can write

[tex]cos \frac{3\pi }{8}[/tex]

as

[tex]cos\frac{\frac{3\pi }{4} }{2}[/tex]

=-[tex]\sqrt{\frac{1+cos\frac{3\pi}{4} }{2}[/tex]

=-[tex]\sqrt{\frac{1-\frac{\sqrt{2}}{2}}{2}[/tex]

=-[tex]\sqrt{\frac{2-\sqrt{2}}{4}[/tex]

(cosine is negative is in second quadrant)

Using the half angle identity, the exact value of cos 3 pi / 8 is (√2 - 1) / 2√2.

Given a trigonometric expression,

cos 3π/8

We have to find the exact value of this using the half angle identity.

The half angle identity in terms of cosine function is,

cos (x/2) = ± √[(1 + cos x) / 2]

Here the angle is 3π/8.

This can be written as,

3π/8 = 3π/4 / 2

Substituting to the formula,

cos (3π/4/2) = √[(1 + cos 3π/4) / 2]

Now,

cos 3π/4 = cos (π - π/4)

               = -cos(π/4)

               = - 1/√2

Substituting to the formula,

cos (3π/4/2) = √[(1 - 1/√2) / 2]

                    = (√2 - 1) / 2√2

Hence the value is (√2 - 1) / 2√2.

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Answer:

32-28=4

Step-by-step explanation:

See the attachment :)

Answer:

4

Step-by-step explanation:

he started with 32 the he had 28 and 32-28 is 4

Answer: False

Step-by-step explanation:

Answer:

[tex]\large\boxed{x=\pm\sqrt{10}}[/tex]

Step-by-step explanation:

[tex]x^2=10\Rightarrow x=\pm\sqrt{10}\\\\\text{because}\ (-\sqrt{10})^2=10\ \text{and}\ (\sqrt{10})^2=10.\\\\\text{used}\ (\sqrt{a})^2=a[/tex]

Volume of sphere = 4/3 x PI x r^3

= 4/3 x 3.14 x 6^3

= 904.3 cubic meters

Volume of cone = PI x r^2 x h/3

h = √13^2-5^2 = 12

= 3.14 x 5^2 x 12/3

= 314 cubic meters

Answer:

The answer is C on edge (all real numbers except 1)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

19.55 can be either 19 and 20, but it is closer to 20!

Answer: The answer is 20.

Step-by-step explanation: So anytime you are rounded if the number is 5 or over 5 it will round up. If it is under 5 it will round down and in this case it is over half or 5 so it would round up to 20 since 20 is a whole number.

Answer:

28

Step-by-step explanation:

0, 2, 4, 6, 8, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.

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Answer:

28

Step-by-step explanation:

29, 28, 27

28 is before 29 and its even fam

The value of x is 11/3 for expression –4(–3x + 11)

An expression is combination of variables, numbers and operators.

Given expression is –4(–3x + 11)

Let us apply distributive property

–4(–3x + 11)

Minus four times of minus three x plus eleven

-4(-3x)-4(11)

Minus four times of minus three x minus four times of eleven

12x-44

12x=44

Divide both sides by 12

x=44/12

x=11/3

Hence, the value of x is 11/3.

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Answer:

47.1 cm

Step-by-step explanation:

For this problem, I'll use an approximation of [tex]\pi \approx 3.14[/tex], which is good enough for the level of accuracy we need. The definition of π itself is given by the equation

[tex]\pi =\frac{c}{d}[/tex]

where c is the circumference of a circle and d is its diameter. If we want to find the circumference, we can simply multiply both sides of that equation by d to get the formula

[tex]c=\pi d\approx3.14d[/tex]

Here, we're given d = 15 cm, so plugging that in, we find our circumference to be

[tex]c\approx3.14(15)=47.1[/tex]

So the circumference of this circle is approximately 47.1 cm.

Answer:

35 miles

Step-by-step explanation:

Given: Elliot rides his bike at an average speed of 14 miles per hour.

If he rides his bike at 14 miles every hour, and he was riding for 2.5 hours, all we need to do is take 14 and multiply it by 2:

[tex]2(14)=28[/tex]

We just found out how many miles he went in two hours. To find the remaining half, all we need to do is take his speed, divide it by two, and add it to the rest:

[tex]\frac{14}{2}=7[/tex]

[tex]28+7=35[/tex]

Elliot went 35 miles in 2.5 hours.

He will ride 35 miles in 2 1/2 hours.

Hope this helps.

Answer:

Final answer is $9000.

Step-by-step explanation:

Given that Alice took out a $15,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 6%, and Bank B charges an interest rate of 7%. After one year, Alice owes $960 in interest.

Now we need to find out about how much money did she borrow from Bank A.

So let's assume that money borrowed from bank A = x

then money borrowed from bank B = 15000-x

Interest from bank A = 6% of x = 0.06x

Interest from bank B = 7% of (15000-x) = 0.07(15000-x)

Given total interest is $960. So we can write equation:

0.06x+0.07(15000-x)=960

0.06x+1050-0.07x=960

1050-0.01x=960

-0.01x=960-1050

-0.01x=-90

[tex]x=\frac{-90}{-0.01}[/tex]

x=9000

Hence final answer is $9000.

Answer:

The amount borrowed from bank A = $9000

Step-by-step explanation:

Formula:

I = PNR/100

P - Principle amount

N - Number of years

R - Rate of interest

It is given that,Alice took out a $15,000 loan for college. Bank A charges an interest rate of 6%, and Bank B charges an interest rate of 7%. After one year, Alice owes $960 in interest.

Let 'x' be the amount borrowed from Bank A

Then the amount borrowed from Bank B = 15000 - x

To find the value of x

I = PNR/100

Here I = $960

(x*1*6)/100 + (15000 - x)*1*7/100 = 960

6x/100 + (15000*7)/100  - 7x/100 = 960

1050 - x/100 = 960

x/100 = 1050 - 960 = 90

x = 90 * 100 = 9000

Therefore the amount borrowed from bank A = $9000

Answer:

The value of n is equal to 9

Step-by-step explanation:

12^(n) / 12^(5)  = 12^4

12^(n-5) = 12^(4)

Which means

n - 5 = 4

n = 4 + 5

n = 9

We can chek this by dividing

12 ^ 9 = 5159780352  

12 ^ 5 =  248832

5159780352 / 248832 = 20736

12^4 = 20736

Answer:

At 3,500 MPH, the shuttle is traveling approximately one mile per second. That means it only takes 32 seconds more to reach an altitude of 62 miles. If you want to take acceleration into account, it is a few seconds less. So it takes approximately 150 seconds for the shuttle to get out of earth's atmosphere.

Step-by-step explanation:

Answer:

That means it only takes 32 seconds more to reach an altitude of 62 miles. If you want to take acceleration into account, it is a few seconds less. So it takes approximately 150 seconds for the shuttle to get out of earth's atmosphere.

Answer:

120 Degrees

Step-by-step explanation:

4/12 * 360

Answer:

I think the answer is 120 degrees.

Step-by-step explanation:

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

[tex]-x-y=7[/tex] -----> isolate the variable y

[tex]y=-x-7[/tex] ----> equation A

[tex]5x-5y=5[/tex] -----> isolate the variable y

[tex]y=x-5[/tex] ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

so

The system of equations has only one solution

therefore

Is a consistent independent system

By analyzing the given equations and rewriting them to compare coefficients, it is clear that the system of equations is independent because they have different slopes and will intersect at exactly one point.

To classify the system of equations as independent, dependent, or inconsistent without graphing, we have to analyze the equations and solve for their relation to each other. The given equations are:

-x - y = 7
5x - 5y = 5

We can start by putting the equations in the same form to compare the coefficients:

Equation 1 can be rewritten as: x + y = -7 (multiply by -1)
Equation 2 can be simplified: x - y = 1 (divide by 5)

The slopes of the lines represented by the two equations are different (they are not multiples of each other) which suggests that the lines will intersect at exactly one point. This means the system of equations is independent.

Answer: 3.8

Step-by-step explanation: See the attached file!

Answer:

Step-by-step explanation:

Look at the picture.

[tex]\begin{array}{c|c|}&(x,\ y)\\S_{OX}&(x,\ -y)\\S_{OY}&(-x,\ y)\\S_{(0,0)}&(-x,\ -y)\end{array}[/tex]

LENGTH=2/7

WIDTH= 3/7

Perimeter is 2l+2w

Length= 2/7+ 2/7 is 4/7

Width= 3/7 + 3/7 is 6/7

Answer is 4/7+ 6/7 is 10/7

Answer= 10/7 = 1 3/7

Answer:

1 3/7

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

see attachment

Answer:

The answer is B. 6in.

Hope it helps!!!!!!!

5^2+6^2 = x^2

25+36 = x^2

61 = x^2 | sqrt

sqrt(61) = x^2

x ~ 7.81

The distance is 7.81

See the image

The distance between the points (6, −3) and (6, 5) is 8 units.

The distance between two points, (x1,y1) and (x2,y2) is calculated by using the distance formula in coordinate geometry.

According to distance formula,

Distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]  units.

Given points are (6,-3) and (6,5).

Using the distance formula for calculating the distance -

Distance = [tex]\sqrt{(6 - 6)^{2} + (-3 - 5)^{2} }[/tex] units = [tex]\sqrt{8^{2} }[/tex] units = [tex]8[/tex] units

Therefore, the distance between the points (6, −3) and (6, 5) is 8 units.

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Final answer:

To find the distance between the points (6, -3) and (6, 5), calculate the absolute value of the difference between the y-coordinates, resulting in a distance of 8 units.

Explanation:

The distance between the points (6, −3) and (6, 5) can be found using the distance formula, which is derived from the Pythagorean Theorem. In this particular case, since the x-coordinates of both points are the same, the distance is simply the absolute value of the difference in the y-coordinates.

To calculate the distance (d):
d = |y2 − y1|
d = |5 − (−3)|
d = |5 + 3|
d = |8|
d = 8

Therefore, the distance between the points (6, −3) and (6, 5) is 8 units.

Answer:

Step-by-step explanation:each bag has 7 flower stickers........I think

we multiplicate 9*5 that is 45

9-2 is seven ,seven flower stickers

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%. The ­percent of the students who took French is 30%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. Therefore, the number of students who took french is,

Number of students who took french = 1 - 3/5 - (2/5 × 1/4)

                                                              = 1 -0.6 -0.1

                                                              = 0.3

                                                              = 30%

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b is the correct answer

Step-by-step explanation:

The symbolic notation that represents the statement 'Mary works at the water park or takes college classes' is P ∨ Q.

The symbolic notation that represents the statement 'Mary works at the water park or takes college classes' is P ∨ Q.

The '∨' symbol represents the logical operator 'or', which indicates that either statement P or statement Q (or both) can be true for the overall statement to be true.

In this case, Mary can work at the water park, take college classes, or do both.

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Answer:

Price before tax is $64

Step-by-step explanation:

It asks for price before sales tax, so ignore sales tax %.

P=original-[original•(20/100)]

=80-80•0.2

=80-16

P=64

Answer:

$64

Step-by-step explanation:

We have been given that an item regularly priced at $80 is on sale for 20% off. There is 3% sales tax. We are asked to find the sales price before sales tax.

The sales price would be 80 minus 20% of 80.

[tex]\text{Sales price}=80-\frac{20}{100}\times 80[/tex]

[tex]\text{Sales price}=80-\frac{1600}{100}[/tex]

[tex]\text{Sales price}=80-16[/tex]

[tex]\text{Sales price}=64[/tex]

Therefore, the sales price before sales tax would be $64.

Answer:

D

Step-by-step explanation:

Since it is at least 90, it literally means that the lowest possible value is 90. Therefore the number can only be greater than or equal to 90. So, the answer is D.

Answer:

C. X is less than or equal to 90

Step-by-step explanation:

because as you can see  that the last sentence it says. A final grade of at LEAST 90?

Find the length of the hypotenuse

34^2 + 27^2 = c^2

1156 + 729 = 1885

c^2 = 1885

sqrt(1885)

c = 43.42

Answer:

All sides of the triangle are a = 34, b = 27 and c = 46.7

and angles are A = 46°, B = 34.83° and C = 99.17°

Step-by-step explanation:

In a given triangle A = 46°, a = 34 units and b = 27 units

Then we have to find all angles and measure of the side left.

By sine rule,

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex]

[tex]\frac{34}{sin46}=\frac{27}{sinB}[/tex]

sinB = [tex]\frac{27\times sin46}{34}[/tex]

sinB = 0.5712

B = [tex]sin^{-1}(0.5712)[/tex]

B = 34.83°

Since in a triangle,

∠A + ∠B + ∠C = 180°

46°+ 34.83° + ∠C = 180°

80.83° + ∠C = 180°

∠C = 180 - 80.83 = 99.17°

[tex]\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{27}{sin34.83}=\frac{c}{sin99.17}[/tex]

[tex]\frac{27}{0.5711}=\frac{c}{0.9872}[/tex]

c = [tex]\frac{27\times 0.9872}{0.5711}=46.67[/tex]

Therefore, all sides of the triangle are a = 34, b = 27 and c = 46.7

and angles are A = 46°, B = 34.83° and C = 99.17°