What is the exact value of tan(3009)?

Answer:

146

Step-by-step explanation:

Begin by substituting 20 in for y

8y-14

8(20)-14                   Multiply 8 and 20

160-14                       Subtract

146

Hope this helps!

Step-by-step explanation:

[tex]8y-14 = 8(20) - 14 [/tex]

[tex] [/tex]

160-14=146

Answer:

Larger number(x)=20

Step-by-step explanation:

They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.

The smallest number=35-x.

The larger number= x.

3 times the larger number=3x

4 times the smaller number=4(35-x)

Now, input it into an equation and solve:

3x=4(35-x) Distribute by multiplying 4 with 35 and x.

3x+4x=140-4x+4x Get 140 by itself by adding 4x.

7x/7=140/7 Divide.

x=20

Since x= the larger number, x=20.

To find the larger number when the sum of two numbers is given and the relationship between them is described, we can set up and solve an equation.

To solve this problem, we can set up two equations based on the given information. Let x represent the larger number and 35 - x represent the smaller number. According to the problem, we have the equation 3x = 4(35 - x). Solving this equation will give us the value of x, which represents the larger number.

Expanding the equation, we have 3x = 140 - 4x. Combining like terms, we get 7x = 140. Dividing both sides by 7, we find that x = 20. Therefore, the larger number is 20.

https://brainly.com/question/24875240

#SPJ2

Check the picture below.

A)

well, we start off by making a table of values for the function, with a few "t" values, as you see in the picture, then graph those points to get the graph.

B)

at t = 0, h(0) = 98, and at t = 1, h(1) = 82, so it went from 98 to 82, for a difference of 16.

C)

at t = 1, h(1) = 82, and at t = 2 h(2) = 34, so it went from 82 to 34, for a difference of 48.

does it fall the same distance on both intervals? well, they're different, so nope.

Answer:

Step-by-step explanation: 0.97 times 6 to get 5.82

Then 2.64 plus 5.82 to get 8.46

Lastly 20 - 8.46 = 11.54

The answer would be a two-column proof.

A two-column proof is a logical argument arranged with statements and reasons.

Hope that helps, :)

Answer:

$40.50

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

I= P × r × t

Where:

P is the principal amount, which is $300.00.

r equals the interest rate, which 4.5% per year, or as a decimal, 4.5/100=0.045.

t equals time involved, which is 3 years

To find the simple interest, we multiply 300 × 0.045 × 3 to get that the interest is: $40.50

hope this helped! pls give a thanks:)

Answer:

$68+($6xd) </= $194

Step-by-step explanation:

monthly bus pass plus the amount of days she buys lunch times $6 has to be less than or equal to $194

Answer:

(8, -9), (11, -9)

Step-by-step explanation:

The points (5, 7) and (7, 7) are on a horizontal line in which the y-coordinates of all points are 7. The line has equation y = 7.

For a line to not intersect the line y = 7, it must be parallel to y = 7.

The answer is the pair of points which both have the same y-coordinate, and that y-coordinate is not 7.

From the choices you added to your comments, the only choice with two points with the same y-coordinate is (8, -9) and (11, -9). This is the answer.

Answer: (8, -9), (11, -9)

d = √((7 - 5)² + (7 - 7)²)

d = √(2² + 0²)

d = √4

d = 2

((5 + (2/2)), 7)

= ((5 + 1), 7)

= (6, 7)

Answer:

sin(30) = 1/2

sin(45) = sqrt(2)/2 -> 0.70711

sin(60) = sqrt(3)/2 -> 0.8660

sin(90) = 1

cos(30) = sqrt(3)/2 -> 0.8660

cos(45) = sqrt(2)/2 -> 0.70711

cos(60) = 1/2

cos(90) = 0

Answer:

Step-by-step explanation:

sin30=1/2=0.5

sin 45=(√2)/2=1.41421356237/2=0.70710678...=0.70711

sin 60=(√3)/2=1.73205080757/2=0.86603

sin 90=0

cos30 =(√3)/2=0.86603

co 45=(√2)/2=0.70711

cos 60=1/2=0.5

cos 90=0

Answer:

(1/5x+29/5)

(1/5x÷1/5) + (29/5÷1/5)

(x) +(29)

x+29

The length of the arc is 31.92 units

Explanation:

Given that the sector of a circle of radius 6 units.

The angle is given by [tex]\theta=305^{\circ}[/tex]

Arc length of the circle:

The arc length of the circle can be determined using the formula,

[tex]\ {arc\ length}=2 \pi r\left(\frac{\theta}{360}\right)[/tex]

where r = 6 and [tex]\theta=305^{\circ}[/tex]

Substituting the values, we have,

[tex]\ {arc\ length}=2 \pi (6)\left(\frac{305}{360}\right)[/tex]

Multiplying the numerator, we have,

[tex]\ {arc\ length}=\frac{3660 \pi}{360}[/tex]

Substituting [tex]\pi=3.14[/tex], we have,

[tex]\ {arc\ length}=\frac{3660(3.14)}{360}[/tex]

Multiplying the terms, we get,

[tex]\ {arc\ length}=\frac{11492.4}{360}[/tex]

Dividing, we get,

[tex]\ {arc\ length}=31.92 \ units[/tex]

Thus, the arc length of the circle is 31.92 units

Answer:

R = 23.9

Step-by-step explanation:

formula for circles circumfrence is, C = 2*3.14*R

in this one we have to work backwards so we plug wut we have.

150 = 2*  3.14*R

we divide 150 by 2 so it will be

75 = 3.14R

now we divide 75 by pi so wwe get

23.8732414638 = R

Now we round it to nearest tenth

R = 23.9

Answer:

Angle M has a measure of 47°.

What is the measure of angle PNL?

43°

47°

86°

94°

Answer:

43

Step-by-step explanation:

trust me

Answer:

The correct answer is:

Ken will have run 3 laps and Hamid will have run 4.

Explanation:

To find this, we first find the number of seconds that will have passed when they meet again.  We use the LCM, or least common multiple, for this.  First we find the prime factorization of each number:

80 = 10(8)

10 = 5(2)

8 = 2(4)

4 = 2(2)

80 = 2(2)(2)(5)(2)

60 = 10(6)

10 = 5(2)

6 = 2(3)

60 = 2(2)(3)(5)

For the LCM, we multiply the common factors by the uncommon.  Between the two numbers, the common factors are 2, 2 and 5.  This makes the uncommon 2, 2, and 3, and makes our LCM

2(2)(5)(2)(2)(3) = 240

This means every 240 seconds they will both be at the start line.

Since Ken completes a lap in 80 seconds, he completes 240/80 = 3 laps in 240 seconds.

Since Hamid completes a lap in 60 seconds, he completes 240/60 = 4 laps in 240 seconds.

Answer:

the correct answer is the first option

Step-by-step explanation:

you just need to put the numbers from highest to lowest

dead sea = 1312

lake assal =512

death valley = 282

valdes peninsula = 131

caspian sea = 92

plz mark me as brainliest :)

Answer:

233

Step-by-step explanation:

so we add up the total number of people surveyed (198+212+187) and get 597. So, then we multiply 597 by 0.39 (597(.39)) and that gives us 232.83. we round up 232.83 to 233 and thats the answer

Answer:

5hours

Step-by-step explanation:

Ivanna made $414 for 18 hours of work.

Working at the same rate, she will make $115 for = (115 x 18)/414 = 5hours

Answer:

5

Step-by-step explanation:

First, we have to figure out how much money she makes per hour. We can do this by dividing. 414 divided by 18 = 23. Then, we multiply. 23 x 17 = 391, 23 x 16 = 368 etc. we multiply until we get to, 23 x 5, which equals 115. I hope this made sense!

Answer:

80

Step-by-step explanation:

Step-by-step explanation:

The price of car purchased 5 years ago = 15000

The price of car sold = 7000

By compound depreciation,

[tex]Pn = P (1 - R/100) ^ T[/tex]  ... (1)

where Pn = 7000

P = 15000

R = rate of interest to be calculated

T = 5 ( number of years)

substituting the values in equation (1), we get

[tex]7000 = 15000 (1 - R/100) ^ 5[/tex]

[tex]0.46 = (1 - R/100) ^ 5[/tex]

[tex]0.858 = 1 - R/100[/tex]

0.858 is rounded off as 0.86

R/100 = 0.14

By simplifying the above equation, we get

Rate of depreciation = 14%

Answer: 3.14285714.....

Step-by-step explanation:

pi is  [tex]\dfrac{22}{7}[/tex]

[tex].\quad \underline{\ 3.14285714}\\.\ 7)22.0000000\\.\ \ \underline{-21}\\.\qquad 10\\.\qquad \underline{- 7}\\.\qquad\ \ 30\\.\quad\ \ \ \underline{-28}\\.\qquad \ \ \ 20\\.\quad\ \quad \underline{-14}\\.\qquad \quad \ \ 60\\.\qquad \quad \underline{-56}\\.\qquad \qquad \ 4[/tex]

Thiis is a non-terminating and non-repeating decimal.

Answer:

3.

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24587006606315588174881520920962829254091715364367

89259036001133053054882046652138414695194151160943

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83367336244065664308602139494639522473719070217986

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46844090122495343014654958537105079227968925892354

20199561121290219608640344181598136297747713099605

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10100031378387528865875332083814206171776691473035

98253490428755468731159562863882353787593751957781

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80952572010654858632788659361533818279682303019520

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17546374649393192550604009277016711390098488240128

58361603563707660104710181942955596198946767837449

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33136770289891521047521620569660240580381501935112

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16470600161452491921732172147723501414419735685481

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Step-by-step explanation:i hope this helps!!!!!!

and i looked it up. i just want you to know that.

lol

Answer:

263.76

3.14x(42+42)

3.14x82=263.76 .

Answer:

75.36

Step-by-step explanation:

Given

3.14(a² + ab) ← substitute a = 4, b = 2 into the expression

= 3.14(4² + 4(2)) = 3.14(16 + 8) = 3.14 × 24 = 75.36

Answer:

8 sundaes.

Step-by-step explanation:

Follow below steps:

Combinations without repetition:

In the given scenario, the ice cream shop uses 4 spoonfuls of sprinkles for 1 sundae. To find out how many sundaes they made with 32 spoonfuls of sprinkles, divide the total number of spoonfuls by the amount of sprinkles used per sundae: 32 spoonfuls ÷ 4 spoonfuls = 8 sundaes.

Combinations with repetition:

Explaining combinations with repetition involves calculating the different combinations possible when taking into account repeated flavors in ice cream selections.

Answer:

12

Step-by-step explanation:

Since 12 itself a factor of 36, there can't be a greater commonly factor

Answer:

C)x = +/-15

Step-by-step explanation:

15x15=225

-15x-15=225

Answer:

A

Step-by-step explanation:

The answer would be the square root of 225

Answer:

2 of them

Step-by-step explanation:

sqr root xy and the sqr rt x/y

Answer:

48/52, or 0.92307692307

Step-by-step explanation:

There are 13 cards in each of the 4 suits.

A,2,3,4,5,6,7,8,9,10,J,Q,K.

If there is 1 six in 1 suit, and there are 4 suits, there are 4 sixes. The chance of NOT getting a 6 is 52(all the cards)-4(six delt) /52.

48/52=0.92307692307

Want it more professionally?

Using the scientific probability method:

p=probability

p(all cards in 1 deck)-p(a 6 dealt)=p(not dealt a 6)

p(52/52)-p(4/52)=p(not dealt a 6)

p(48/52)=p(not dealt a 6)

There is a 48/52 chance (0.92307692307) that you are not dealt a 6.

Hope this helps!

The probability of not being dealt a six from a 52-card deck is 12/13.

Probability of not being dealt a six:

There are 52 cards in a deck.

There are 4 sixes in a deck .

Hence, the probability of not getting a six when dealt one card is 1 - (4/52) = 48/52 = 12/13.

Answer:

The statement is true

see the explanation

Step-by-step explanation:

we have the proportion

[tex]\frac{a}{b}=\frac{c}{d}[/tex]

we know that

To solve the proportion multiply in cross

so

[tex](a)(d)=(b)(c)[/tex]

[tex]ad=bc[/tex]

therefore

The statement is true

Answer:

(q + 1)(q + 5p)

Step-by-step explanation:

q² + q + 5pq + 5p

= (q² + q) + (5pq + 5p)

Consider that : q² + q = q(q + 1) and 5pq + 5p = 5p(q + 1)

then

q² + q + 5pq + 5p 

= (q² + q) + (5pq + 5p) 

= q(q + 1) + 5p(q + 1)  

= (q + 1)(q + 5p)

Good luck :)

Final answer:

The expression q^2 + q + 5pq + 5p is factored by grouping into (q + 5p)(q + 1) by factoring out common factors from the grouped terms.

Explanation:

To factor by grouping the expression q2 + q + 5pq + 5p, we need to group the terms in a way that common factors can be factored out.

Firstly, we divide the expression into two groups:

We can then factor out the common factor from each group:

Now, we can see that the term (q + 1) is common in both grouped expressions:

q(q + 1) + 5p(q + 1)

The expression can be factored as:

(q + 5p)(q + 1)

This is the factored form of the original expression.

[tex]$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]

Solution:

Given expression:

[tex]$(1.0125)^{4 x}=\frac{3}{2}[/tex]

To solve the expression:

[tex]$(1.0125)^{4 x}=\frac{3}{2}[/tex]

If f(x) = g(x) then ln(f(x)) = ln(g(x)).

Using the above condition, we can write

[tex]$\ln \left(1.0125^{4 x}\right)=\ln \left(\frac{3}{2}\right)[/tex]

Apply log rule: [tex]\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)[/tex]

[tex]$4 x \ln (1.0125)=\ln \left(\frac{3}{2}\right)[/tex]

Divide both side of the equation by [tex]4 \ln (1.0125)[/tex].

[tex]$\frac{4 x \ln (1.0125)}{4 \ln (1.0125)}=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]

[tex]$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]

The answer is [tex]x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex].

Final answer:

To solve for x by converting to a logarithm, the base used depends on the context and specific problem. In this case, the natural logarithm is used as the base is relevant to the equation.

Explanation:

To solve for x by converting to a logarithm, you need to determine the base of the logarithm. In this case, the answer is x = ln(3/2) / 4ln(1.0125), where ln represents the natural logarithm.

The natural logarithm, denoted by ln, is the logarithm with base e, where e is an irrational number approximately equal to 2.71828. It is commonly used in calculus and other fields of mathematics.

When converting to a logarithm, the base can be any positive number greater than 1. The choice of base depends on the context and the specific problem being solved. In this case, the natural logarithm is used because it is relevant to the given equation.

Answer:

$1.17 per glove

Step-by-step explanation:

56.16 divided by 4 then divide that number by 12