Simplify as much as possible (and only have positive exponents)

Answer:

Step-by-step explanation:

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]

Answer:

standard form: Ax + By = C

Slope-intercept form: y=mx+b

where m is the slope and b is the y intercept.

first lets put this into intercept form:

y=-5x+b

(4, 0) is the x intercept.)

To find what b is plug in the point 4, 0 for the x and y of the equation:

0=-5(4)+b

0=-20+b

20=b

b=20

Now that we have the slope, m, and the y intercept, b, we can make our equation

y=-5x+20

Now we need to transform this equation into standard form like so:

y=-5x+20

5x+y=20 - this is your answer

Step-by-step explanation:

Answer:

10 kits

Step-by-step explanation:

Because the price of one kit is $3.45 (pencil, pen, eraser, and a notebook). You can get 10 kits for $34.50. 11 kits would be over the amount she would be willing to pay for the kits.

Hope this is helpful, to you have a gret day! Brainliest would be awesome.

Answer:

40%

Step-by-step explanation:

Answer: 40%

Step-by-step explanation: if you add all the students answers you get 30

then take the strawberry students that is 12 divide it 12/30 and you get .4 then multiply by 100 and you get 40%

Answer:

the second one(20)

Step-by-step explanation:

If you pretend 20 is x, you solve the equation by pluging in x (20) into the equation and it gives you 70, 70 is what the big part is and 70+20 is 90, which is the size of a 90degree side.

4(20)-10

80-10

70

70+20=90

Answer: The answer to this question is 20 degrees

Step-by-step explanation:

So, you know that it's a straight line, which is 180 degrees. The angle on the very left is 90 degrees because it's a right angle.

So that means (x + 10) + x = 90 degrees because 180 - 90 = 90

Solve that equation for x:

x + 4x - 10 = 90

5x = 100

x = 20

So, your final answer is 20 degrees

Answer:

i can't understant the question

Step-by-step explanation:

Answer:

The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.

First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.

Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.

Finally, we know <2 is equal to <7 because of the transitive property.

Answer:

Here's the sample response!!

Step-by-step explanation:

Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.

Answer: it has no solutions

Step-by-step explanation:

Factor then solve to find the complex solutions.

Answer:

question is incomplete . to find x value thaf must be a equation but its a simple algebric expression only so inappropriate question

Awnser:

x2+2x−8=0

2cos(x)−1=0

cos(x)=−cos(x)+√3

Step-by-step explanation:

hope that helped

Answer:

x can be divided by 2,3,4,5,6

2 can be divided by 4, so is 3 to 6

so simply x can be divided by 4,5,6

4*5*6=120

Step-by-step explanation:

Answer:

[tex]\bold{\dfrac{63}{32}\ sq\ inches}[/tex]

Step-by-step explanation:

Given that:

Width of stamp = [tex]\frac{7}{8}[/tex] inches

Length of stamp = [tex]\frac{3}{4}[/tex] inches

It is well known that a stamp is in the form of a rectangular shape.

Area of a rectangular shape is given by the following formula:

[tex]Area = Width\times Length[/tex]

Also, there are 3 identical stamps on the envelop, therefore we need to find the area of one stamp and then multiply it with 3 to find the required area.

Required area:

[tex]3\times \dfrac{7}{8}\times \dfrac{3}{4}\\\Rightarrow \bold{\dfrac{63}{32}\ sq\ inches}[/tex]

Answer:

15/2

Step-by-step explanation:

Answer:

The answer is 15/19

Step-by-step explanation:

Both 60 and 76 are divisible by 4:

60/4 = 15 and 76/4 = 19

Final answer; 15/19

The black hole shown in the photograph depicts the buried black hole that looks like a doughnut. Thus option B is correct.

A black hole is a  region of space that has a strong gravity whre nothing even light can eascepe its presence and acts as a black body that relfect no light.

The balck hole gravitational field are so strong that light canot eaxep this was forst consode by John michale. The black hole cannot be seen without X rays as they form a bright spot aroiund the black hole.

Find out more information about the black hole.

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The probability of each outcome in the sample space is 1/20

"It is finding out the possibilities of the occurrence of an event."

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

Total number of students:

n(S) = 5

The probability of selecting one student would be,

P(A) = 1/5

Now, there are 4 students.

n(S) = 4

So, probability of selecting second student from remaining 4.

P(B) = 1/4

Hence, the probability of each outcome in the sample space would be,

1/5 × 1/4  = 1/20

Therefore, the probability of each outcome in the sample space is 1/20

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Answer:

Step-by-step explanation:

hi

Answer:

B

Step-by-step explanation:

Given:

Two points are (6, 7) and I(-7,-6).

Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl.

John says that point G is located at the origin.

To find:

Whether John is correct or not.

Solution:

Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl. I means point G is the midpoint of HI.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]G=\left(\dfrac{6-7}{2},\dfrac{7-6}{2}\right)[/tex]

[tex]G=\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex]

The location of point G is at [tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex], which is not equal to origin, i.e., (0,0).

Therefore, John is incorrect.

Answer:

-2

Hope this helps,

PumpkinSpice1

The slope of the line will be ( -1 / 2 ). The correct option is C.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The two points are (0,3) and ( 6,0). The slope of the line will be calculated by using the formula below;-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 0 - 3 ) / ( 6 - 0 )

Slope = -3 / 6 = -1 / 2

Therefore, the slope of the line will be ( -1 / 2 ). The correct option is C.

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Answer:

x = 7, y = -2

Step-by-step explanation:

hey i assume those are two different equations

(x + 3y = 1) 3

-3x - 3y = -15

3x  + 9y =  3

add both equations in elimination method

6y = -12, y = -2

x + 3(-2) = 1

x + -6 = 1, x = 7

Answer:

x=72

Step-by-step explanation:

1.2x−2.4=84

Step 1: Add 2.4 to both sides.

1.2x−2.4+2.4=84+2.4

1.2x=86.4

Step 2: Divide both sides by 1.2.

x=72

Answer: x=72

Step-by-step explanation:

Answer:

3=15

4=20

5=25

Step-by-step explanation:

bold are the answers

Answer:

The least common multiple of 12 and 18 is 36. The greatest common divisor of 12 and 18 is 6.

The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is 42

We have to given that,

To find sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18.

Since, Factors of 12 and 18 are,

12 = 2 x 2 x 3

18 = 2 x 3 x 3

Hence, The least common multiple of 12 and 18 = 2 x 3 x 2 x 3 = 36

And, The greatest common divisor of 12 and 18 = 2 x 3 = 6

So, The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is,

36 + 6

42

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Answer:

The average speed of the car is 90 km/h

Step-by-step explanation:

The rule of the distance id D = v × t, where

∵ A car can travel 450 km in the same time it takes a train to travel

   350 km

→ That means the time of them are equals

∴ Time of the car = Time of the train

→ From the rule above t = [tex]\frac{D}{v}[/tex]

∵ D(car) = 450 km and D(train) = 350 km

∵ The car's average speed is 20 km/h faster than the average speed

   of the train

→ Assume that the average speed of the train is x km/h

∴ v(train) = x km/h and v(car) = (x + 20) km/h

→ Use the rule of the time above to find the time of each one

∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]

∵ t(train) = [tex]\frac{350}{x}[/tex]

∵ t(car) = t(train)

∴ [tex]\frac{450}{(x+20)}[/tex] =  [tex]\frac{350}{x}[/tex]

→ By using cross multiplication

∵ 450 × x = 350 × (x + 20)

∴ 450x = 350(x) + 350(20)

∴ 450x = 350x + 7000

→ Subtract 350x from both sides

∴ 100x = 7000

→ Divide both sides by 100 to find x

∴ x = 70

∵ x represents the average speed of the train

∴ The average speed of the train = 70 km/h

∵ The average speed of the car = x + 20

∴ The average speed of the car = 70 + 20

∴ The average speed of the car = 90 km/h

Answer:

11

Step-by-step explanation:

Here,

11 is the nth term as it is the last term shown in the sequence

Answer:

(A) the subtraction property of equality

Step-by-step explanation:

Given

The steps in the question

Require

Justify step 2 to 3

Write out step 2:

[tex]-4x+9 = 2x+10[/tex]

Apply subtraction property by subtracting 2x from both sides

[tex]-4x-2x+9 = 2x-2x+10[/tex]

[tex]-6x+9 = 10[/tex]

Notice that the above equation is represented in step 3.

Hence, option A answers the question.

A. the subtraction property of equality

Answer:

I think that there should be 320 tagged deer in the population

A ratio shows us the number of times a number contains another number. The total population of the deer after a month was 1320.

A ratio shows us the number of times a number contains another number.

When the deer were recaptured 10 out of the 40 deers were tagged therefore, the ratio of the tagged deers to the total population of the deers is 10/40. Thus, we can write the total population of the deer as,

[tex]\dfrac{\text{Tagged Population}}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\dfrac{330}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\text{Total Population} = \dfrac{330 \times 40}{10} = 1320[/tex]

Thus, the total population of the deer after a month was 1320.

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Answer:

The answer is a^n+2n+8a^2n-a^2n-14a^n-48.

Step-by-step explanation:

1. Use the distributive property.

2. Remove the parenthesis.

3. Collect like terms.

Hope this helps and if you could mark me as brainliest. Thanks!

The factored form of  (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8) is

(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8).

In case of long division in the quotient well multiply the first term of the divisor 'aⁿ' with such a number that it becomes equal to the first term of the dividend, Now aⁿ×aⁿ is a²ⁿ.

∴  (a²ⁿ - aⁿ - 6)/(aⁿ + 8) is,

(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).

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Answer:

Next 3 terms: 17, -31, 65

3 terms before -7: 2, -1, 5

Step-by-step explanation:

Fourth term in the sequence = -7

Rule for finding the next term:

[tex]a_n=-2\times a_{n-1}+3[/tex]

Therefore, the fifth term:

[tex]a_5=-2\times a_4+3\\\Rightarrow a_5=-2\times -7+3\\\Rightarrow \bold{a_5=17}[/tex]

Sixth term:

[tex]a_6=-2\times a_5+3\\\Rightarrow a_6=-2\times 17+3\\\Rightarrow \bold{a_6=-31}[/tex]

Seventh term:

[tex]a_7=-2\times a_6+3\\\Rightarrow a_7=-2\times -31+3\\\Rightarrow \bold{a_7=65}[/tex]

Let the three terms that came before -7 be: [tex]x, y, z[/tex]

As per question statement:

[tex]a_n=-2\times a_{n-1}+3[/tex]

[tex]-7 = -2\times z+3\\\Rightarrow -2z=-10\\\Rightarrow z=5[/tex]

Again applying the given rule:

[tex]5 = -2\times y+3\\\Rightarrow y =-1[/tex]

Again applying the given rule:

[tex]-1 = -2\times x+3\\\Rightarrow x =2[/tex]

Therefore the 3 terms before -7 are:

2, -1, 5