A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 31. From a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 34. How high (in feet) is the mountain?

Answer:

x = [tex]\frac{5}{12}[/tex]

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Answer:

radius is 12 cm

diameter 24 cm

Answer: Radius= 12cm Diameter= 24cm

Step-by-step explanation:

Answer:

Bella bought the t-shirt at $9.54 each.    

Step-by-step explanation:

We are given the following in the question:

"T-shirts at Perfect Tee cost either $9 or  $10 depending on the style."

Cost of 13 t-shirts = $124

We have to find the cost of each t-shirt.

Cost of 1 t-shirt =

[tex]=\dfrac{\text{Total cost of t-shirts}}{\text{Number of t-shirts}}\\\\=\dfrac{\$124}{13}\\\\=\$9.5384\approx \$9.54[/tex]

Thus, Bella bought the t-shirt at $9.54 each.

Answer:

Step-by-step explanation:

3) ΔABC ≅ ΔDEF

AB = ED   {Corresponding parts of corresponding  triangles are equal}

6y - 4 = 4y +2

add 4 to both sides

6y - 4 + 4 = 4y + 2 + 4

6y = 4y + 6

subtract 4y from both sides

6y - 4y = 4y + 6 - 4y

2y = 6

Divide by 2

[tex]\frac{2y}{2}=\frac{6}{2}\\[/tex]

y = 3

AB = 6y - 4 = 6*3 - 4 = 18 - 4 =14

AB = 14

ΔABC ≅ ΔDEF

∠A = ∠D   {Corresponding parts of corresponding  triangles are equal}

5x + 2 =87

5x = 87 - 2

5x = 85

x = 85/5

x = 17

In ΔDEF,

∠D + ∠E + ∠F = 180°   {SUM OF ALL ANGLES OF TRIANGLES}

87 +  42 + ∠F = 180  

129 + ∠F = 180°

∠F = 180 - 129

∠F =  51°

ΔABC ≅ ΔDEF

∠C = ∠F   {Corresponding parts of corresponding  triangles are equal}

3y = 51

y= 51/3

y = 17

Answer:

It's the law of cosines

Step-by-step explanation:

law of cosines states that [tex]c^{2} =a^{2} +b^{2} -2ab (cos(\alpha ))[/tex]

so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59

Answer:

7  19/24

Step-by-step explanation:

9  6/24  - 1 11/24

I like to line them up vertically

 9  6/24

- 1 11/24

------------------

We need to borrow  one from the 9.  We will borrow it in the form 24/24

8  6/24+24/24               8  30/24

- 1 11/24                      -   1   11/24

------------------              ---------------------

                                       7  19/24

Answer:She walk the dogs for 3 hours and then she worked 5 hours landscaping for last week

Step-by-step explanation:We call X the hours she walk the dog

so the time that she do the landscaping is (8-X)

Put into equation we have 6x+13(8-x)=83

there we have x is 3

Kaylee worked 3 hours walking dogs and 5 hours landscaping last week.

This problem is a system of linear equations which we can solve using substitution or elimination method. But let's use the substitution method for this particular problem. Let's denote the number of hours Kaylee worked walking dogs as x and the number of hours she worked landscaping as y.

So from the problem we have 2 equations:

From the first equation y = 8 - x. Substitute y in the second equation by (8 - x): 6x + 13(8 - x) = 83. By solving this equation we find x = 3 Substitute x = 3 in the first equation we find y = 5.

So, Kaylee worked 3 hours walking dogs and 5 hours landscaping last week.

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Answer:

nobody gave the right answers but here it is :

Step-by-step explanation:

x = −3

⇒ asymptote

x = −2

⇒ asymptote

x = 0

⇒ hole

x = 2

⇒ neither

x = 3

⇒ neither

x = 5

⇒ neither

To determine whether each value of x is a discontinuity of the function, we analyze the function to find asymptotes or holes. For the given function, x = -2 and x = -3 are asymptotes, x = 0 is a hole, and the remaining values of x do not create any discontinuities.

To determine whether each value of x is a discontinuity of the function, we need to analyze the function and look for asymptotes or holes. Let's consider the function f(x) = (5x) / (x^3 + 5x^2 + 6x).

To identify asymptotes, we need to find the values of x where the denominator of the function is equal to zero. For x = -2 and x = -3, the denominator becomes zero, which indicates that there are vertical asymptotes at x = -2 and x = -3. These values are neither holes nor asymptotes.

For x = 0, the denominator also becomes zero, but the numerator is not zero. This indicates that there is a hole at x = 0.

For the remaining values of x (2, 3, and 5), neither the numerator nor the denominator becomes zero. Therefore, these values do not create either holes or asymptotes. So the answer is:

Answer:

A.

Given that a student is a 10th grader, there is a 14% chance he or she has a job.

TOOK ONE FOR THE TEAM

Answer:

A) Given that a student is a 10th grader, there is a 14% chance he or she has a job.

Step-by-step explanation:

Answer:

B. Absolute Value Parent Function

Step-by-step explanation:

Answer:

3172 rabbits

Step-by-step explanation:

nnnnnnnxnxnxnx

The population of rabbits in the year 2025 will be 3172.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have in 2010, there were 1000 rabbits on an island. The population grows 8% every year.

Assume that the population in the year 2025 be [x]. We can write he annual growth multiplicative factor as 1.08. Now -

x = 1000(1.08)¹⁵

x = 3172

Therefore, the population of rabbits in the year 2025 will be 3172.

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Answer: A. Commutative Property of Addition

Step-by-step explanation: In Commutative property is does not matter which number you use first because it is always gonna be the same answer.

Answer:

Hence Group A compose of the alternate Addition of  "ONE" and "THREE" units

Hence Group B Composes of alternate 22 units addition and 3 units addition.

Step-by-step explanation:

Given:

Two groups as A and B with number in certain patterns as

To Find:

What is that certain pattern in numbers?

Solution:

Group A includes the following numbers as ,

0,1,4,5,8

Here 1st number=0 then 2nd number =1

So in between this addition is 1 is present

And then 3rd number =4 and 4th number=5

so there  alternate addition of "one"(1) present

Now in 3rd and 2nd number there is addition of 3 units

And in 5th and 4 number there is addition of 3 units .

Hence this group compose of the alternate Addition of  "ONE" and "THREE" units.

Group B includes the following number as ,

10,32,35,57,79

So here 1st number is 10 and 2nd number is 32 (Addition of 22 units).

Further alternate 4th 57 and 3rd number is 35 (addition of 22 units).

For 3rd number is 35 and 2nd number is 32 (addition of 3 units)

For 6th number will be is  82 and  5th number is 79 (addition of 3 units).

Hence this group Composes of alternate 22 units addition and 3 units addition.

inal answer:

The sorting rule for the numbers in Group A and Group B is based on their units digit, where numbers that end in 0 or 5 are placed in Group B, and other numbers are in Group A.

Explanation:

The student has asked to describe the sorting rule for the numbers in two groups, Group A and Group B. Looking at Group A (0, 1, 4, 5, 8) and Group B (10, 32, 35, 57, 79), the sorting rule appears to be that numbers ending in either 0 or 5 are placed in Group B, while the others are placed in Group A.

To elaborate, we can see that:

Numbers in Group A do not end with either 0 or 5.

Numbers in Group B all end with a 0 or a 5.

This pattern suggests that the sorting rule is based on the units digit of each number.

Answer:

=9

Step-by-step explanation:

3–(–3)+7–4=

=3+3+7-4

=6+7-4

=13-4

=9

I hope this helps!

Answer:

3−(−3)+7−4

=9

Answer is B

The music store will charge $5 for a yearly membership.

Step-by-step explanation:

Let the cost per vinyl album be 'a'

Let the yearly membership cost be 'b'

Given that,

4a + b = 35

7a + b = 57.5

9a + b = 72.5

We can take any 2 equations from the above,

(4a + b = 35 ) - (7a +b =57.5)

4a + b - 7a - b = 35 - 57.5

-3a = -22. 5

3a = 22.5

a = 7.5

The cost of each vinyl album is $7.5

4a + b = 35

4(7.5) + b = 35

30 + b = 35

b = 35 - 30

b = 5

The cost of the yearly membership is $5

The music store will charge $5 for a yearly membership.

Answer:

C. 24

Step-by-step explanation:

In order for the assignments to be equally distributed the total amount of assignment has to be perfectly Divisible by 4.

24/4 = 6  

Answer:

see below

Step-by-step explanation:

2x ≥ 4

Divide by 2

2x/2 ≥ 4/2

x ≥ 2

-x+7<-6

Subtract 7 from each side

-x+7-7<-6-7

-x < -13

Divide each side by -1, remembering to flip the inequality

x > 13

y>-x+3

This is a line with slope -1 and y intercept 3

This is a dotted line since there is no equals sign and graph above

Answer:

2x ≥ 4

x ≥ 2

-x+7<-6

-x < - 13

x > 13

Region towards right of x = 13, with x = 13 being dotted

y > -x + 3

Draw a dotted line passing through (0,3) and (3,0)

Shade the region above this line which is towards right of x = 13

Answer:

7,120

Step-by-step explanation:

Answer:

565

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 13 - 5 = 8, thus

[tex]a_{71}[/tex] = 5 + (70 × 8) = 5 + 560 = 565

Answer:

slope of line ax + by = c is -a/b

so, slope of 7x +2y =5 is -7/2

Answer:

y= -2/7x + 27/7

Step-by-step explanation:

To find the fourth term in the sequence described by the expression c(n)=-7+6(-1), substitute n = 4 into the expression and simplify.  the fourth term in the sequence is -13.

To find the fourth term in the sequence given by c(n)=-7+6(-1), we need to substitute n = 4 into the expression and simplify.

First, substitute n = 4 into the expression:

c(4) = -7 + 6(-1)

Next, simplify the expression:

c(4) = -7 + (-6)

c(4) = -7 - 6

c(4) = -13

Therefore, the fourth term in the sequence is -13.

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Answer:

Y = -7x+7

Step-by-step explanation:

(This takes a while)

A) Y = 7x - 7

B) Y = 7x + 7

C) Y = -7x + 7

D) Y = - 7x - 7

The asnwer is: C.

Because by distribution the numbers of [x], you will find that you will get [y]. And when you must do this with each of them in order to find out which is the right function.

(6,-35) -> Subsitute 6 into [x]:

Y = 7(6) - 7

Y = 42 - 7

Y = 35

This is wrong, because [y] is supposed to equal -35 and not 35. So A. is out.

B. is also positive, so that means you can't get a negative from it either, so that's out.

C. and D. are both negative, so its between these two.

Y = -7x + 7

Y = -7(6) +7

Y = -42 +7

Y = -35 <- Okay, so that's correct, now let's check D.

Y = -7(6) - 7

Y = -42 - 7

Y = -49 <- This answer is wrong, so your correct answer is C!

The best thing to do is distribute into each, it's quite a process, but it'll help  you find out the answer!

Assuming original commercials were 30 seconds long, during a 3.6-minute break, 7 commercials could fit. If they are half as long, or 15 seconds each, then 14 commercials could fit in the same time period.

The question is asking to calculate how many commercials will play during a commercial break that lasts 3.6 minutes if the commercials are half as long as the ones during the original break. To calculate this, you need to know the length of the original commercials. However, since this information was not provided in the question, let's for example assume that the original commercials were 30 seconds long each (a common commercial length).

If the original commercials were 30 seconds long, then during a 3.6-minute break (which converts to 216 seconds), you could fit in 216 / 30 = 7.2, which is not possible since you can't have a fraction of a commercial. So, you would normally have 7 commercials during the break.

If the new commercials are half as long, meaning they are 15 seconds each, then during the same 3.6-minute break, you could fit in 216 / 15 = 14.4, which again is not possible, so you would have 14 commercials play during the break since you can't have a fraction of a commercial.

Answer:

4/11 and 2/11

Step-by-step explanation:

The total number of letters in the word mathematics is 11, making the denominator 11. There are 4 vowels and 2 Ts. That is the number of possibilities for each one.

The odds of choosing a vowel followed by a 'T' from the word 'MATHEMATICS' are unfavorable, approximately 5.45%. This is calculated based on the individual probabilities of first drawing a vowel, then drawing a 'T'.

The word 'MATHEMATICS' contains 11 letters, which includes 3 vowels (A, A, and E) and 2 'T's. The scenario of drawing a vowel followed by a 'T' implies a two-step process: first drawing a vowel, then drawing a 'T'. We must consider these as two separate events.

For the first draw, the chance of drawing a vowel is 3 out of 11. If successful, then the word left is 'MTHMATICS', a total of 10 letters, 2 of which are 'T's. So the chance of drawing a 'T' on the second draw is 2 out of 10.

The total probability of both events occurring is the product of their individual probabilities. So (3/11) * (2/10) = 6/110 = 0.0545, or approx. 5.45%. This can be categorized as unfavorable odds because the percentage is quite low.

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Answer: The answer is 1,411

Step-by-step explanation:

4,233/3=1,411

/ : Divide

= : Equals

1,411 : Residents

Answer:

C. 98.0%

Step-by-step explanation:

If t represents 35 days, then in order to find the daily decay rate we will have to input 1/35 as the value of t.

100(0.5)^[tex]\frac{1}{35}[/tex] = 98.039

The daily decay rate is 98.0%

Answer:

C) Both procedures are correct

Step-by-step explanation:

1 + tan²(theta) = sec²(theta)

And

cos²(theta) = 1 - sin²(theta)

Are both valid identities

Answer:

c) both are correct

Step-by-step explanation:

Answer:

6sqrt(5)

Step-by-step explanation:

Answer:

should be 6sqrt5

Answer:

10,985

Step-by-step explanation: just add it up

They are a set of numbers that when multiplied equal a product.

For example the factors of 6 are...

2 and 3

As 2 * 3 = 6, both of these numbers are factors.

Answer:

it should be D) 20 meters, not 100% sure tho

From the vertex of the quadratic equation, it is found that the maximum height of the ball is of 20 meters, given by option D.

The height of the ball, after t seconds, is given by:

[tex]h(t) = -5(x^2 - 4x + 4) + 20[/tex]

[tex]h(t) = -5x^2 + 20x - 20 + 20[/tex]

[tex]h(t) = -5^x^2 + 20x[/tex]

Which is a quadratic equation with coefficients [tex]a = -5, b = 20, c = 0[/tex].

It is a concave down parabola, thus, it's maximum value is the h-coordinate of the vertex, which is:

[tex]h_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Then, inserting the values:

[tex]h_V = -\frac{20^2 - 4(-5)(0)}{4(-5)} = 20[/tex]

The maximum height of the ball is of 20 meters, given by option D.

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