the angle of depression from the top of the tower to a boulder on the ground is 38 degrees if the tower is 25 m high how far from the base of the tower is the boulder ​

Answer:

76

Step-by-step explanation:

In order for John's average to be 80, the sum of all of his test scores must be 4*80 = 320. We can add 84, 78, and 82 to get 244, and then we subtract 244 from 320 to obtain the answer 76.

Answer:

Step-by-step explanation:

80 * 4 = 320

84 + 78 + 82 + x = 244

244 + x = 320

x = 320 - 244

x = 76

Answer:

11.25

77.85

Step-by-step explanation:

1.6x + 3 = 21

use inverse operation (+ = -, x = ÷) by taking 3 to the opposite side and changing it's integer to negative

1.6x = 21 - 3

divide 2 sides by 1.6

1.6x = 18

1.6x/1.6 = 18/1.6

x = 11.25//

2.15(x-5)=75

inverse operation

x= 75 - 2.15 + 5

x= 77.85//

❄ Hi there,

let us first figure out what we need to do to find x in this equation.

Since x is

we will

In other words we'll do just the opposite.

[tex]\sf{3x=2}\\\sf{x=\dfrac{2}{3}}[/tex]

That's it!

❄

Answer:

This the only one I know for sure right

I think the second one mn/on=qn/pn

I think the last one and the first one too but let me know which was right!

Step-by-step explanation:

Hi what unit of algebra or geometry is this because I did this before, and I can help you.

Answer:

ph : perimeter = 4 sides of the base; p*h = the area of the sides of that prism

B : 2 areas of the base = top and bottom

A right prism consists of a rectangle and two undersides S night prism =

 S rectangle + 2S base

the length of the rectangle is the circumference of the base which is P  so A = ph + 2B

The surface area of the composite figure is: 300 cm².

Surface area of a triangular prism = (P)L + bh, where we have the following:

P = perimeter of the base

L = length of the triangular prism

h = height of the triangular base

b = base of the triangular base

Surface area = 2(wl + hl + hw), where:

h = height of prism

w = width of prism

l = length of prism.

The surface area of the composite figure = surface area of triangular prism + surface area of rectangular prism - 2(the area where both figures are joined at).

Surface area of the triangular prism = (5 + 12 + 13)4 + (5)(12)

Surface area of the triangular prism = 180 cm²

Surface area of rectangular prism = 2(wl + hl + hw) = 2·(4·12+3·12+3·4) = 192 cm²

The area where both figures are joined at = (l)(w) = (3)(12) = 36 cm².

The surface area of the composite figure = 180 + 192 - 2(36)

The surface area of the composite figure = 180 + 192 - 72

The surface area of the composite figure = 300 cm².

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Answer:

$2,450

Step-by-step explanation:

21:150 is the ratio of people who will donate $5.

21:150 / 3 = 7:50

7:50 x 2 = 14:100

14:100 = 21:50

14:100 x 35 = 490:3500

490 out of 3500 people will contribute $5.

490 x 5 = $2,450

Option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively. This can be obtained by knowing what similar triangles are and finding which sides are proportional.

Similar triangles: If two triangles have proportional sides the are similar.

For example, if ΔABC and ΔDEF are similar then

[tex]\frac{AB}{DE}= \frac{BC}{EF} =\frac{AC}{DF}[/tex]

∠ABC = ∠DEF and ∠ACB = ∠DFE

Then we can write that, ΔABC ~ ΔDEF

Here in this question,

Since A, Y, Z are midpoints of sides XW, VW, XV

XA = AW

WY = VY

XZ = VZ

To consider sides AY and XV we should take triangles ΔWAY and ΔWXV

[tex]\frac{WX}{WA} =\frac{2WA}{WA} = 2[/tex]  (since A is the midpoint of WX)

[tex]\frac{WV}{WY} =\frac{2WY}{WY} = 2[/tex]  (since Y is the midpoint of WV)  

∠AWY = ∠XWV (reflexive property)

Therefore ΔWAY and ΔWXV are similar triangles

[tex]\frac{WX}{WA}= \frac{XV}{AY} =\frac{WV}{WY}[/tex] = 2

∠WAY = ∠WXV and ∠AYW = ∠XVW

Hence,

AY || XV option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively.

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.  

Question: Analyze the diagram below and answer the question that follows. If Z, Y and A are midpoints of ΔVWX what is true about AY and XY?

A. AY || XV

B. 1/2 AY = XV

C. AY = XV

D. AY ≅ XV

Answer:

A

Step-by-step explanation:

MOV EBX,EAX

SHL EAX,4

SHL EBX,1

ADD EAX,EBX these are the  series of instructions that will multiply eax by 18, using a combination of shift, mov, and add instructions.

STEPS:

1. Copy EAX into another register, say EBX

2. We know that shift left by 'n' bits results in multiplication with 2^'n' , so perform shift left operation of EAX by 4 bits ( results in multiplication of EAX with 16) and perform shift left operation of EBX by 2 bits(results in multiplication of EBX with 2)

3. Now add EAX and EBX which is the required answer ( Since, i*16 + i*2 equals to i*18 )

INSTRUCTIONS:

mov ebx,eax ; make copy

shl eax,4 ; eax * 16

shl ebx,1 ; ebx * 2

add eax,ebx ; answer

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See attachment for the graph of cell phone plan 1: y= 7.5x and cell phone plan 2: y= 5.5x + 10.1

Linear equations are equations that have constant average rates of change, slope or gradient

The cell phone plans are given as:

Cell phone plan 1: y= 7.5x

Cell phone plan 2: y= 5.5x + 10.1

To plot the graph of both plans, we make use of the following domain for both cell phone plans

Domain: x >= 0

Next, we set x = 0, 1, 2, 3, 4 and 5 for both plans

So, we have:

Cell phone plan 1

y= 7.5x

When x = 0, y = 7.5 * 0 = 0

When x = 1, y = 7.5 * 1 = 7.5

When x = 2, y = 7.5 * 2 = 15

When x = 3, y = 7.5 * 3 = 22.5

When x = 4, y = 7.5 * 4 = 30

When x = 5, y = 7.5 * 5 = 37.5

Cell phone plan 2

y= 5.5x + 10.1

When x = 0, y = 5.5*0 + 10.1 = 10.1

When x = 1, y = 5.5 * 1 + 10.1 = 15.6

When x = 2, y = 5.5 * 2 + 10.1 = 21.1

When x = 3, y = 5.5 * 3 + 10.1 = 26.6

When x = 4, y = 5.5 * 4 + 10.1 = 32.1

When x = 5, y = 5.5 * 5 + 10.1= 37.6

Next, we plot both graphs on the domain x >= 0

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The slope of the linear function described in this problem is:

m = -3.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the line goes through points (5,3) and (8,-6). Considering that the slope is given by change in y divided by change in x, for this function, it is given by:

m = (-6 - 3)/(8 - 5) = -9/3 = -3

The slope of the linear function described in this problem is:

m = -3.

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Answer:

-1

Step-by-step explanation:

Since we have the linear equation, 2x-5, and it's increasing since the slope is positive, that means we want the maximum x-value, to find the maximum y-value, or possible value.

This means, we want to find the maximum x-value of 2x+5 that is less than or equal to 9, and since we want the maximum x-value, we want the right side to also be the maximum, and since we have a less than or equal to symbol, we can have the equation equal to 9, which is the make value. So we get the following equation

[tex]2x+5=9\\[/tex]

Subtract 9 from both sides

[tex]2x=4[/tex]

Divide both sides by 2

[tex]x=2[/tex]

This is the maximum x-value we can get from the inequality, and now we plug this into the equation 2x-5

[tex]2(2)-5[/tex]

4-1

-1

So the maximum value is -1

Equation that represents the total time t (in minutes) Ken spent running is = 10 + m/6.30.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign = The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Total time t (in minutes) =Initial Time + distance/speed

Given :-

Thus,

t = 10 + m/6.30.

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The value of s for the given conditions is 9/2.

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

r = k*s*t

k = constant of proportionality

r = 8

s = 6

t = 5

Putting the value in the equation:

8 = k x (6) x (4)

8 = 24k

k = 8 /24

k = 1/3

Now,

t = 16

r = 24

Putting the value in the equation:

r = k*s*t

24 = 1/3( x (s) x (16))

((24) x (3) )/ 16  = s

((3) x (3))/2 = s

s = 9/2

The value of s for the given conditions is 9/2.

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If the side are increased by 45% then the area of green part will be 26.6955 [tex]mm^{2}[/tex].

Given that area of a shape of 37 [tex]mm^{2}[/tex] in which 60% is green.

We are required to find the area of green region if the side is increased by 45%.

Area is basically part of a surface covered by a shape.

When the side is increased by 45% then the area will increase by 45%*45%=20.25%.

Increased area =37*20.25%=7.4925

New area=37+7.4925

=44.4925

We have been given that 60% is the area of green.

Area of green region=44.4925*60/100

=26.6955 [tex]mm^{2}[/tex]

Hence if the sides are increased by 45% then the area of green part will be 26.6955 [tex]mm^{2}[/tex].

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Answer:

Option A - 32 cm³

Step-by-step explanation:

Volume of a pyramid is given by the formula :

V = [tex]\frac{lwh}{3}[/tex]

Substituting values given gives us :

V = (4)(4)(6)/3

V = (16)(6)/3

V = 96/3

V = 32

Units will be cm³ as this is volume

Hope this helped and have a good day

Answer:

A. 32 cm³

Step-by-step explanation:

V = (1/3)(area of base)(height)

The base is a square of side 4 cm.

area of base = side × side

V = (1/3)(4 cm × 4 cm)(6 cm)

V = 32 cm³

We need to use a technique called dot multiplication. In this technique, we multiply the magnitude of two given vectors by the value of the angle between them.

In the question, the value of the angle between two vectors [tex]cos(45^0)[/tex] and the coordinates of the two vectors are given. Let's multiply them by the dot product to get the result.

Formula: [tex]u.v=|u||v|cos(a)[/tex]

[tex]u=3i+2j[/tex]
[tex]v=i+5j[/tex]
[tex]cos(a)=\frac{1}{\sqrt{2}}[/tex]

To find the magnitude of a vector, we square the coordinates, add them up and take the square root of the result.

Result: [tex]u.v=|\sqrt{(3^2)+(2^2)}||\sqrt{(1^2)+(5^2)}|.\frac{1}{\sqrt{2}}=(13\sqrt{2})\frac{\sqrt{2}}{2} =13[/tex]

Using the distance between two points, it is found that you travel approximately 41 meters.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, we have that:

Hence the distance is:

D = sqrt[(-15 - (-25))² + (15 - (-25))²] = sqrt(10² + 40²) = 41 meters.

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The given case of Gallup asking the same 50 people how many hours had they worked at a job in the past 7 days. is an example of dependent sample.

The measured values in relation in a dependent sample (also called a paired sample).

Some characteristics of dependent sample are-

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Answer: (x) = x^3 − x^2 − 4x + 4End behavior- Falls to the left rises to the righty intercept-(0, 4)Zeros- (1,-2,2)g(x) = x^3 + 2x^2 − 9x − 18

Step-by-step explanation:

Answer:

-456 I think but I could be wrong though

Answer:

1.36mph

Step-by-step explanation:

The escalator is moving at 2ft/s, lets convert this to miles/second.

2ft/s = 0.000378788miles/s.

Now that we have the miles/second lets multiply this value by 3600 to get the miles/h, because there are 3600 seconds in an hour.

2ft/s=1.3636368miles/h

Or approximately 1.36miles/h.

Answer:

y^2 = -8x  for example.

Step-by-step explanation:

General form is y^2 = -4ax

The focus of this parabola will be at (-a , 0) on the x axis.

So the parabola might be:

y^2 = -4x

y^2 = -12x

y^2 = -0.9x  and so on......

Using proportions, it is found that it took 15 days for the students to finish the project.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, we have that:

The compound rule of three is given as follows:

1 project - 5 students - 15 days

0.4 project - 2 students - x days

Increasing the number of students, the number of days is reduced, hence the measures are inverse proportional and the rule of three is given by:

[tex]\frac{15}{x} = \frac{2}[5} \times \frac{1}{0.4}[/tex]

[tex]\frac{15}{x} = \frac{2}{2}[/tex]

15/x = 1

x = 15 days.

It took 15 days for the students to finish the project.

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Answer:

  t = 7

Step-by-step explanation:

You can use your knowledge of powers of 2, or you can use logarithms to find the value of t.

  2^1 = 2

  2^2 = 4

  2^4 = 16

  128 = 16×4×2 = (2^4)(2^2)(2^1) = 2^(4+2+1) = 2^7

Now, the equation is ...

  f(t) = 2^t = 2^7

Equating exponents, we have ...

  t = 7

Taking the log of both sides of the equation ...

  2^t = 128

we have ...

  t×log(2) = log(128)

  t = log(128)/log(2) = 7 . . . . . divide by the coefficient of t

The value of t is 7.

__

Additional comment

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The relevant rule of logarithms is ...

  log(a^b) = b×log(a)

Answer: 420 minutes in 7 hours. 2 minutes in 120 seconds.

Step-by-step explanation: Multiply 7x60, as there are 60 minutes per hour. Divide 120/60 to find how many minutes are within those many seconds.

Answer:

11

Step-by-step explanation:

for this question we can look at the whole answer for the square root of 120 which equals 10.9544511501

[tex]\sqrt{120} = 10.9544511501[/tex]

now looking at our answer (10.9544511501) we want to find the nearest WHOLE NUMBER. in the current answer the whole number is 10, followed by many decimals.

10.9544511501

but to find the nearest whole number we have to round the place value BEFORE our whole number. (in this case the 9)

10.9544511501

we can now look at this highlighted section of our equation and think... is 10.9  closer to 11 or 10. well logically, to get to 11 from 10.9 we only have to go up by 0.1, rather than to get to 10, where you have to subtract 0.9.

10.9 + 0.1 = 11

10.9 - 0.9 = 10

But to make it easier, remember the rule:

the place value one place to the RIGHT of what you're rounding to, is what determines the new number. (in this case the .9)

and as any number 5 or above rounds up, we can say that our new number, rounded to the nearest whole number equals 11

10.9 rounded to the nearest whole number = 11

The discrete probability distribution that finds  the probability that x exceeds 5 is  0.38

Opportunity provides records approximately the likelihood that something will manifest. Meteorologists, for instance, use weather patterns to are expecting the chance of rain. In epidemiology, the probability idea is used to recognize the connection between exposures and the risk of fitness consequences.

Finding the possibility of a simple event happening is fairly straightforward: upload the changes collectively. For example, if you have a 10% chance of triumphing $10 and a 25% threat of triumphing $20 then your normal odds of prevailing something is 10% + 25% = 35%.

If there is no ambiguity within the occurrence of an occasion, then the chance of such an occasion is equal to 1. In other phrases, the chance of a sure occasion is 1. If an occasion has no probability of taking place, then its chance is zero.

We want to find the probability for x exceeding 5 means for x>5

Consider,

           P(X>5)=P(x=6)+P(X=8)

              =0.18+0.2

               =0.38

Hence, the probability is  0.38

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The correct function that has been represented on the graph is,

f(x) = { 2 if -1 < x ≤ 2 as the values of f(x) for the other two parts, -6 ≤ x ≤ -1 and 2 ∠ x ≤ 6 are (2x+17)/5 and (16-7x)/2 respectively.

This can be broken into three parts :

   y-3/x+1 = 2/5

  5y -15 = 2x +2

  2x - 5y = -17

 y-1/x-2 = -7/2

 2y -2 = -7x + 14

2y + 7x = 16

Thus function becomes

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