plz help asap.................................................

Answer: 22.5

Explanation: from P the radii of length r are perpendicular to xz, xy, and yz and all the same.

if draw it with your compass your see a certain symmetry

call the tangent point on xz Q and the one on xy S

triangle XQP is congruent to XSP and is a right triangle

the two angles at x are 22.5 degrees

so PQ = PS = 4 tan 22.5

Answer:

He would need 2/4 gallon... if not then sorry

Step-by-step explanation:

Answer:

r < 78

Step-by-step explanation:

r/6 - 4 < 9

add 4 to both sides so you can cancel the 4 on the left side.

then it would be r/6 < 13.

Multiply 6 to both sides to cancel out 6.

13 x 6 = 78

final answer: r < 78

The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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Answer:

21= 7x3

Step-by-step explanation:

it is simply reversing the answer in a way from 7x3=21 to 21=7x3

Answer:

So you just calculate the distance from.point 1 to 2 and then from 2 to 3 and then from 3 to 1. then sum them all up and you get the perimeter

The Fourier series for the given function is f(x)=0 and the graph of the function to which the series converges over three periods is a straight line at y=0. The constants are given by a_n cos left(fracn pi xLright)+b_n sin left(fracn pi xLright)right]. The graph of the function to which the series converges over three periods is a straight line at y=0.

Given function is f(x)={0,0First, we need to find the Fourier series for the given function. The Fourier series for the function f(x) can be written as:

\(\[f(x)= \frac{a_0}{2}+\sum_{n=1}^{\infty} \left[a_n cos \left(\frac{n \pi x}{L}\right)+b_n sin \left(\frac{n \pi x}{L}\right)\right]\]\)

where the constants are given by:\(\[a_0 = \frac{1}{L} \int_{-L}^{L} f(x)dx\]\[a_n = \frac{1}{L} \int_{-L}^{L} f(x) cos \left(\frac{n \pi x}{L}\right)dx\]\[b_n = \frac{1}{L} \int_{-L}^{L} f(x) sin \left(\frac{n \pi x}{L}\right)dx\]\)

where L is the period of the function. In the given function, the function values are given at two points, so the period is L=2.

\(\[a_0 = \frac{1}{2} \int_{-1}^{1} f(x)dx\]\[a_n = \frac{1}{2} \int_{-1}^{1} f(x) cos \left(n \pi x\right)dx\]\[b_n = \frac{1}{2} \int_{-1}^{1} f(x) sin \left(n \pi x\right)dx\]\)

Here, f(x)={0,0}, so the constant a0 will be 0. Also, the function is even, so the Fourier series will only have cosine terms and no sine terms.

\(\[a_n = \frac{1}{2} \int_{-1}^{1} f(x) cos \left(n \pi x\right)dx = \frac{1}{2} \int_{-1}^{1} 0 cos \left(n \pi x\right)dx = 0\]\)

Therefore, the Fourier series for the given function is: \[f(x)=0\]Now, we need to sketch the graph of the function to which the series converges over three periods.

The given function is f(x)={0,0}. Since the Fourier series for the given function is 0, the graph of the function to which the series converges will be a straight line at y=0.

Hence, the graph of the function to which the series converges over three periods will be a straight line at y=0 as shown below:  Therefore, the required Fourier series for the given function is f(x)=0 and

the graph of the function to which the series converges over three periods is a straight line at y=0.

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the lengths of sides KN and NM of the kite KN =  15   units and NM =   20 units

What is quadrilateral?

Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.

Given that KLMN is a kite

According to the given figure KN = KL and LM=NM

we have the equation y+10=2y+5

y = 5

So KN = KL =15

On putting x =7 for LM and MN we get

LM = MN = 20

Hence, the lengths of sides KN and NM of the kite KN =  15   units and NM =   20 units

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Answer: I think its B: x=-4

Step-by-step explanation:

Answer:

\(r=0.07\)

Step-by-step explanation:

From the question we are told that

An offer of 2$ in 11 years on every dollar

Generally we make use of this formula

\(F=P(1+r/100)^t\)

where

\(f=Future value\)

\(P= present value\)

\(r=Rate\)

\(t=time\)

Mathematically solving  for the rate

     \(2=1(1+r/100)^1^1\)

    \((2)^1^/^1^1=(1+r/100)\)

    \((1+r/100=1.0650\)

     \(r=(1.0650-1) *100\)

     \(r=0.07\)

Generally this shows that the account give an annual rate of 0.07

The total amount of pentagons and hexagons that Shari does need altogether is given as follows:

32.

The total amount is obtained applying the proportions and ratios in the context of the problem.

Sheri needs 3 pentagons for every 5 hexagons, hence the equation is:

H = 5P/3.

Sheri needs between 10 and 15 pentagons, hence the possible amounts are given as follows:

Hence the amount is of 12 pentagons and 20 hexagons, thus the amount is:

12 + 20 = 32 pentagons and hexagons altogether.

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Answer:

the answer to your question should be 2,068

Step-by-step explanation:

i hope i am right but i think so

Jamie made 8 1/4 cups of fruit punch for a party. Her guests drank 2/3 of the punch. How much fruit punch did her guests drink Jamie made 8 1/4 cups of fruit punch for a party. A mixed number can be converted into an improper fraction by multiplying the denominator by the whole number, and then adding the numerator. Thus, we have 33/4 cups of fruit punch.

Jamie's guests drank 2/3 of the punch. If Jamie made 33/4 cups of fruit punch, then the guests drank2/3 × 33/4= 22/12 or 1 5/12 cups of fruit punch The guests drank 1 5/12 cups of fruit punch. More than 100 words: To determine how much fruit punch Jamie's guests drank, we need to calculate the amount of punch made and then multiply it by the fraction of the punch consumed by the guests. Jamie made 8 1/4 cups of fruit punch.

We'll start by converting the mixed number to an improper fraction, which is 33/4. Next, we'll multiply 33/4 by 2/3 to determine how much punch the guests drank. This is calculated as follows:2/3 × 33/4= 22/12 or 1 5/12 cups of fruit punch. Therefore, Jamie's guests drank 1 5/12 cups of fruit punch.

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Answer:

tan x = c/b

cos x = b/a

sin x = c/a

Step-by-step explanation:

an easy way to memorize it would be SOH CAH TOA

SOH = sin, opposite, hypotunese

-- you find the angle and you divide it's opposite and hypotunese when it asks for sin

CAH = cos, adjacent, hypotunese

-- you find the angle's adjacent side and hypotunese, then divide

TOA = tan, opposite, adjacent

-- you find the angle's opposite side and divide it by the adjacent side

Answer:subtract 72 from the sides

Step-by-step explanation: just because I did it in a quiz got it right

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

Slope: m = (y2-y1)/(x2-x1)

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

Answer:

20+10c

Step-by-step explanation:

-5(c)= -5c

-5(-2)=10

-5c+10=20-5c+10

Answer:

ΔAXC ~ ΔCXB

ΔACB ~ ΔAXC

Step-by-step explanation:

B and D are correct

Congruent triangles have equal corresponding sides.

The true statements are: ΔAXC ~ ΔCXB ; and ΔACB ~ ΔAXC  

From the figure (see attachment), we have the following highlights

This means that we have the following similarities statements:

ΔAXC ~ ΔCXB ; and ΔACB ~ ΔAXC  

Hence, the true options are: (b) and (d)

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Answer:

-3 + 8 = 5

Step-by-step explanation:

When we have a "minus a negative", it's a positive. So the - -8 is the same as + 8.

LMK if you have questions.

-3 + -8 = -11

is that a nice one or something

I think the like terms are t and 3t. the non like terms are 8

Answer:

true

a^4.a^5=a^9

base same then power should be added

a^4+5

a^9

Given:

Fraction of cake left = ¾

Let's find the number of 3/16 size portions of the remaining cake he can share with his family.

To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.

Thus, we have;

To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.

We have:

Therefore, he can share 4 portions of 3/16

ANSWER:

4

Answer:

\(a + b = a + b\)

Step-by-step explanation:

plugging in a and b for anything will work, thus resulting in infinite amount of solutions

The Inequality equations can be correctly matched with the given graphs as 3 - D, 2 - A, 1 - C and 4 - B.

The Inequality equation is given below.

\(y\geq -3x+4\) is correctly matched with 2

\(y\leq -\frac{3}{5} -5\) is correctly matched with 4

\(y\leq \frac{4}{3} x-4\) is correctly matched with 1

\(y > \frac{3}{2} x-5\) is correctly matched with 3.

Therefore, the matching for linear inequality equation with the letter for the graph are:

2= \(y\geq -3x+4\)

4=  \(y\leq -\frac{3}{5} -5\)

1=  \(y\leq \frac{4}{3} x-4\)

3=  \(y > \frac{3}{2} x-5\)

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The Inequality equations can be correctly matched with the given graphs as 3 - D, 2 - A, 1 - C and 4 - B.

Here, we have,

The Inequality equation is given below.

y ≥ -3x + 4 is correctly matched with 2

y≤ -3x/5 - 5  is correctly matched with 4

y≤ 4x/3 -4 is correctly matched with 1

y > 3x/2 - 5 is correctly matched with 3.

Therefore, the matching for linear inequality equation with the letter for the graph are:

2= y ≥ -3x + 4

4= y≤ -3x/5 - 5

1=  y≤ 4x/3 -4

3=  y > 3x/2 - 5

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If Galeno wants to buy a video game at a store having a 20%-off store wide sale.

3. Galeno pays $40.19 for the video game.

4. Jesse's bonus is $3,090.

5.  the volunteers collected 20 cans, 30 glass bottles, and 33 plastic bottles.

3. The discounted price of the video game during the store-wide sale is:

Discounted price = Regular price x (1 - Discount rate)

Discounted price = $50 x (1 - 0.20) = $40

With the additional 5% coupon, the final price is:

Final price = Discounted price x (1 - Coupon rate)

Final price = $40 x (1 - 0.05) = $38

Adding the 5.75% sales tax, the total cost to Galeno is:

Total cost = Final price x (1 + Sales tax rate)

Total cost = $38 x (1 + 0.0575) = $40.19

Therefore, Galeno pays $40.19 for the video game.

4. After his first year, Jesse's salary is:

Salary after first year = Starting salary x (1 + Raise rate)

Salary after first year = $30,000 x (1 + 0.03) = $30,900

After his second year, Jesse's salary with the 10% bonus is:

Salary with bonus = Salary after first year x (1 + Bonus rate)

Salary with bonus = $30,900 x (1 + 0.10) = $33,990

Jesse's bonus is the difference between his salary with the bonus and his salary without the bonus:

Bonus = Salary with bonus - Salary after first year

Bonus = $33,990 - $30,900 = $3,090

Therefore, Jesse's bonus is $3,090.

5. Let's call the number of glass bottles collected "g". Then, the number of cans collected is 20, and the number of plastic bottles collected is 110% more than the number of glass bottles, which is 1.1g.

Since the volunteers collected 50% more glass bottles than cans, we know that:

g = 20 + 0.5(20)

g = 30

Therefore, the number of plastic bottles collected is:

1.1g = 1.1(30)

1.1g = 33

The volunteers collected 33 plastic bottles.

Therefore, the volunteers collected 20 cans, 30 glass bottles, and 33 plastic bottles.

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The maximum height of the ball is 19.31 ft

The maximum height of a projetile is given by h = u²sin2Ф/2g where

Since a  golf ball is hit with a 1 wood (9º) off the ground with an initial velocity of 200 ft/sec, to determine the what is the maximum height of the ball, we proceed as follows.

Since the maximum height of the ball is given by h = u²sin2Ф/2g

Now, given that

So, substituting the values of the variables into the equation, we have that

h = u²sin2Ф/2g

h = (200 ft/s)²sin2(9º)/2(32 ft/s²)

=  4000 ft²/s² × sin18º/64 ft/s²)

=  4000 ft²/s² × 0.3090/64 ft/s²

= 1236.068 ft²/s²/64 ft/s²

= 19.31 ft

So, the maximum height of the ball is 19.31 ft

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This refers to the tax paid to a governing body for the sales of certain goods and services.

In  Williamson County, the sales tax rate is 9.75% = 9.75% × $1,000 = $1,097.5

In Davidson County , the sales tax rate is 9.25% =  9.25%  × $1,000 = $1,092.5

The amount saved will therefore be $1,097.5 - $1,092.5 = $5.

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Answer:

Step-by-step explanation:

Given equation:

Options (4 of them given)

a) Decrease a number by 0.32 is the same as multiplying by 0.68.

b) Decrease a number by 32% is the same as increasing by 68%.

c) Decrease a number by 0.32 is the same as multiplying by 0.32.

d) Decrease a number by 32% is the same as multiplying by 68%