A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is to make an angle of 31 with the ground? Give your answer to the nearest tenth of a foot.

Answer:

1.

Step-by-step explanation:

( 1 - sin^2 O ) / cos^2 O

Now 1 - sin^2 O = cos^2 O

So the function becomes cos^2 O / cos^2 O

= 1.

Answer:

x= 3/4

Step-by-step explanation:

x^3 = 27/64

x= (3 is the exponent of the squared root √ (27/64)

x=3/4

The measure of the major arc is found by calculating the circumference of the entire circle 2πr and then using the proportion that the angle of the major arc represents out of 360 degrees.

The measure of the major arc in a circle depends on the angle subtended by the arc at the center of the circle. If we define the angle Θ (theta) in degrees, that subtend the arc, the length of the major arc can be found by using the circumference of the entire circle, which is 2πr (where r is the radius), and the proportion of the circle that the major arc represents. Since the entire circle is 360 degrees, if the major arc corresponds to an angle Α, which is the complement of Θ (since Α + Θ = 360 degrees for the minor and major arcs together), the major arc length will be 2πr (Α/360). To summarize, if you're given the central angle of the minor arc or can otherwise determine the central angle for the major arc, you can use this proportion to calculate the arc length.

ANSWER

A. 17.31in²

EXPLANATION

The area of a sector is calculated using the formula:

[tex]Area = \frac{central \: angle}{360 \degree} \times \pi {r}^{2} [/tex]

From the diagram, the central angle is:

145° and the radius is 3.7 in.

We substitute the known values to get;

[tex]Area = \frac{145}{360 \degree} \times 3.14 \times {3 .7}^{2} = 17.3{in}^{2} [/tex]

The approximate area is 17.3 in² to the nearest tenth.

Answer:

12lbs

Step-by-step explanation:

let x be the amount of apples you need, then:

x-0.14x= 10 8/25

0.86x = 10 8/25

(10 8/25) : 86 * 100 = x

x=12

Answer:

Total fresh apple needed = 12

Step-by-step explanation:

It is given that, While drying apple loses 14% of its weight

To find the fresh apple needed

Let x be the total fresh apple needed.

Apple loses 14% of its weight. Final we need 10 8/25 lbs of dried apple

x - 14x/100 = 10 8/25

0.86x = 10 8/25

0.86x = 258/25 = 10.32

x = 12

Answer:

AC = 5

Step-by-step explanation:

AC is the diagonal of the rectangle ABCD and splits the rectangle into 2 right triangles.

Using right triangle ABC with hypotenuse AC

Applying Pythagoras' theorem gives

AC² = AB² + BC² ← substitute given values

AC² = 4² + 3² = 16 + 9 = 25

Take the square root of both sides

AC = [tex]\sqrt{25}[/tex] = 5

Answer:

The answer is x=40

Step-by-step explanation:

Answer:

It's x = 40 that's correct.

In this case, we're looking for a number that is higher than 10. We can't say 29, 37 or 47 but 40

Step by step explanation:

x / 4 > 10

Carry over the 4 and you'll get 4 × 10 -> x = 4 × 10 = 40

Therefore x = 40

Answer:

First we need to calculate the are of each wall, since we alredy knew the length (l) and the width (w) which is the height of the wall in this case:

A = wl = 9 . 12 = 108 (ft²)

We also know that he painted 3 walls, we need to multiply our first result by 3, in other words, the area of wall that Brett painted is the sum of the area of three walls: 108 . 3 = 324 (ft²)

Answer:

324 ft^2

Step-by-step explanation:

ok so to calculate the area its A = wl (width x length)

9 x 12 = 108 ft^2

buuuuuut since we have 3 walls were going to have to multiply it by three as cuz 108 ft^2 is the outcome of one wall

108 ft x 3 = 324 ft^2

~batmans wife dun dun dun....

the distance is 13 length units

Final answer:

Using the Pythagorean Theorem, we calculate the distance between the points (5, -2) and (-7, 3) to be 13 units.

Explanation:

To find the distance between two points on a coordinate plane, we use the Pythagorean Theorem. Given points (5, -2) and (-7, 3), we calculate the difference in the x-coordinates and y-coordinates separately and then square each result.

d² = (5 - (-7))² + (-2 - 3)²

= (5 + 7)² + (-5)²

= 12² + (-5)²

= 144 + 25

= 169

Now, taking the square root of both sides to calculate the distance:

d = √(169)

= 13

Therefore, the linear distance between the two points, often denoted as 'PQ', is 13 units.

Answer:

A

Step-by-step explanation:

A cube has 6 sides

Only one side of the cube has 2 on it

The probability of getting 2 would be 1/6

Only one side of the cube has 6 on it

The probability of getting 6 would be 1/6

For both events to happen together

1/6 x 1/6 = 1/36

To find the probability of rolling a 2 on the first die and a 6 on the second, multiply the independent probabilities of each event (1/6 for each die) to get 1/36, making the correct answer A) 1/36.

The question asks for the probability of rolling two number cubes and getting a 2 on the first number cube and a 6 on the second number cube. When rolling two dice, the outcome of one die does not affect the other, so the probabilities of each outcome are independent. Since a die has six faces, the probability of rolling any specific number on a single die is 1/6.

Therefore, the probability of rolling a 2 on the first die is 1/6 and the probability of rolling a 6 on the second die is also 1/6. To find the combined probability of both events happening together, you multiply the probabilities of each event by each other, which is (1/6) × (1/6) = 1/36. So, the correct answer is A) 1/36.

Well that’s it for today I just wanna was a really good day I wanna

To find the actual speed and direction of the canoe, we can add the velocity of the canoe relative to the water to the velocity of the current. Using vector addition, the approximate resultant velocity of the canoe is 2.19 miles per hour at an angle of 51.3° relative to the shore.

To find the approximate actual speed and direction of the canoe, we can use vector addition. The canoe's velocity relative to the water is 2 miles per hour in the direction of 55°. The velocity of the current is 1 mile per hour due east. We can add these two vectors to find the resultant vector, which represents the total velocity of the canoe relative to the shore.

Using the formula for vector addition, we can find the magnitude and direction of the resultant velocity. The magnitude can be found using the Pythagorean theorem: Vtotal = √(Vcanoe)2 + (Vcurrent)2. The direction can be found using the tangent function: θ = tan-1(y/x), where y is the vertical component of the resultant vector and x is the horizontal component.

In this case, the resultant velocity of the canoe will be approximately 2.19 miles per hour (rounded to two decimal places) and the canoe will move in a direction of 51.3° (rounded to one decimal place) relative to the shore.

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Answer:

Step-by-step explanation:

Whether you use b or x for the variable does not matter.

5 - 7 is a money problem

If you have 5 dollars and spend 7 where are you? You should think you have a debt of 2. So the answer from your point is - 2

5b - 7b = - 2b

5x - 7x = - 2x

Answer:

C) {4, 9, 8, 11, 10, 12, 14}

Step-by-step explanation:

Answer:

{9, 8, 9, 6, 12, 10, 13}

Step-by-step explanation:

Write the data in numerical order. Find the first quartile, the median, the third quartile, the minimum (smallest value) and the maximum (largest value).

{6, 8, 9, 9, 10, 12, 13}

Thus,

low -- 6

1st quartile -- 8

median -- 9

3rd quartile -- 12

high -- 13

Therefore, this data does not match the graph.

Answer:

30

Step-by-step explanation:

If P is the number of peach trees and T is the total number of trees, then:

P = 2/5 T

P + 18 = T

If we substitute the first equation into the second:

2/5 T + 18 = T

18 = 3/5 T

T = 30

The gardener has 30 trees.

Answer:

72 mm^3

Step-by-step explanation:

To find the volume of the combined object, we can find the volume of each cube and add it together

Volume of the 4 mm cube

V = s^3

V = 4^3 = 64 mm^3

Volume of the 2 mm cube

V = s^3

V = 2^3 = 8 mm^3

Add the volumes together

64+8 = 72 mm^3

Answer:

72 mm^3

Step-by-step explanation:

To find the volume of this irregular figure, first find each of the cubes.

Part I. Finding the bottom cube

Since the volume of a cube is s^3 where s is the side, we can plug 4 in and we get 64 mm^3.

Part II. Finding the top cube

Using the formula for volume of a cube, we get the volume of the upper cube to be 8 mm^3.

Part II. The total volume of the irregular figure

To find the total volume we simply add the two volumes together. In doing so, we get 64+8 = 72 mm^3 as our volume.

A (2, -3/2) baisicly it is is a line and it is vertical so this one is more easy.

Answer:

I believe its A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know: If a quadrilateral is inscribed in a circle, then the sum of measures of opposite angles is equal to 180°.

Therefore we have the equations:

[tex](1)\qquad2x+(2x+4)=180\\\\(2)\qquad y+(3y+8)=180[/tex]

Solve:

[tex](1)\\2x+2x+4=180\qquad\text{subtract 4 from both sides}\\\\4x=176\qquad\text{divide both sides by 4}\\\\x=44\\\\(2)\\y+3y+8=180\qquad\text{subtract 8 from both sides}\\\\4y=172\qquad\text{divide both sides by 4}\\\\y=43[/tex]

Answer:

A. x=44 y=43

Step-by-step explanation:

i just did the test yrdlf

Answer:

option c is correct.

Step-by-step explanation:

[tex]7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{16x}\right)-3\left(\sqrt[3]{8x}\right)[/tex]

WE need to simplify this equation.

Solve the parenthesis of each term.

[tex]=7\left\sqrt[3]{2x}\right-3\left\sqrt[3]{16x}\right-3\left\sqrt[3]{8x}\right[/tex]

Now, We will find factors of the terms inside the square root

factors of 2: 2

factors of 16 : 2x2x2x2

factors of 8: 2x2x2

Putting these values in our equation:[tex]=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2X2 x}\right)-3\left(\sqrt[3]{2X2X2 x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3*2\left(\sqrt[3] {2 x}\right)-3*2\left(\sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)[/tex]

Adding like terms we get:

[tex]=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right\\=(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\[/tex]

[tex](\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\can\,\,be \,\, written\,\, as\,\,\\(\sqrt[3] {2x})-6\left(\sqrt[3]{x}\right)[/tex]

So, option c is correct

What that person said so basically C

Answer:

the costs of the career is low

Step-by-step explanation:

The answer is 67.6

You have to find the angle that has cos=8/21=0.381.

Answer:

67.6 degrees

Step-by-step explanation:

You need to use cosine to solve this.

so, cosine is adjacent leg over hypotenuse. which is 8/21. and it is 0.381.

and when you do cos^-1 (0.381), then it is 67.6.

I believe the answer will be (9,9)

Answer:

Power: (1/5)^3, 2^6

Expanded: 5x5, 6x6x6, 3x3x3/4, 2x2x2x2x2x2

How to say it: 5 raised to the 2nd power, 6 raised to the 3rd power, 3 raised to the 3rd power over 4

Value: 25, 216, 1/125, 9/4, 64

Step-by-step explanation:

Answer:

A. π

Step-by-step explanation:

this is a graph of  a cosine function and and the interval during which it completes one cycle starting from the origin, according to the graph is  π

Answer:1, -1,3,-7

Step-by-step explanation:

For this case we must subtract the given matrices and find the values of a, b, c and d:

Subtracting term from term we have:[tex]a = 5-4 = 1\\b = 2-1 = 1[/tex]

We have that different signs are subtracted and the sign of the major is placed.

[tex]c = 3-6 = -3\\d = 0-7 = -7[/tex]

Answer:

[tex]a = 1\\b = 1\\c = -3\\d = -7[/tex]

Answer:

∑5n=(−1)^n(2+5n)

Hope this helps you out!

Answer:

a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.

Step-by-step explanation:

Answer:a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truth

Step-by-step explanation:

Here is the process I did:

2(6x+4)-6+2x=3(4x+3)+1

Step 1: Distribute the 2 to the numbers in the parentheses (6x +4) on the left side of the equation

6x(2)+4(2)-6+2x=3(4x+3)+1

12x+8-6+2x=3(4x+3)+1

Step 2: On the left side of the equation combine like terms

x's go with x's (12x and 2x):

(12x + 2x)+8-6=3(4x+3)+1

14x+8-6=3(4x+3)+1

normal numbers go with normal numbers ( 8 and -6):

14x+(8+(-6))=3(4x+3)+1

14x+2=3(4x+3)+1

Step 3: Distribute the 3 to the numbers in the parentheses (4x+3) on the right side of the equation

14x+2=4x(3) +3(3) + 1

14x+2=12x + 9 + 1

Step 4: On the right side of the equation combine like terms

normal numbers go with normal numbers ( 9 and 1):

14x+2=12x + (9 + 1)

14x+2=12x + 10

Step 5: Bring 2 from the left side to the right by subtracting it to both sides

14x+(2-2)=12x + (10-2)

14x = 12x + 8

Step 6: Bring 12x from the right side to the left by subtracting it to both sides

(14x - 12x) = (12x - 12x) + 8

2x = 8

Step 7: Isolate x by dividing 2 to both sides

[tex]\frac{2x}{2}  =\frac{8}{2}[/tex]

x = 4

Hope this helped!

Given equation is  one degree equation in x

Also it has only one variable 'x' hence it requires only one equation to solve for x  and the equation is given.

hence solution for x can be given as

2(6x+4)-6+2x =3(4x+3)+1

12x + 8 - 6 +2x = 12x + 9 + 1

12x +2 +2x =12x + 10

14x +2 = 12x +10

14x-12x = 10-2

2x = 8

x = 8/2= 4

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Answer:

He drove 244 miles

Step-by-step explanation:

First multiply 4/7*427/1 and you get 1,708/7

Then convert 1,708/7 to 244/1

And so your answer is 244

Ben drove 244 miles before he stopped for lunch.

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole.

As per the given data:

Ben has already driven 4/7 of the way to his friend's house before he stopped to eat lunch.

The total distance from Ben's house to his friend's house is 427 miles.

We have to find the Ben has already driven before he stopped to eat lunch.

Distance Ben's driven = 4/7 of the total distance

Distance Ben's driven = 4/7 × 427

Distance Ben's driven = 4 × 61 = 244 miles

Ben's already drove 244 miles before he stopped for lunch.

Hence, Ben drove 244 miles before he stopped for lunch.

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Vehicle A travels 750 feet and Vehicle B travels 600 feet in 15 seconds. Adding these distances together, we find they are 1350 feet apart after 15 seconds.

The subject of your question falls under the realm of Mathematics, specifically in the area of vector addition or relative velocity. Let's imagine the two vehicles are moving away from each other in a straight line at an angle. We mainly need to consider the relative velocity of vehicle B to vehicle A.

After 15 seconds, vehicle A will have traveled (50 feet/second * 15 seconds) = 750 feet. Similarly, vehicle B will have traveled (40 feet/second * 15 seconds) = 600 feet. In this situation, the total distance separating vehicle A and vehicle B is the sum of their individual distances traveled, which equals 750 feet + 600 feet = 1350 feet.

Therefore, the two vehicles are 1350 feet apart after 15 seconds.

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Answer:

14 years old

Step-by-step explanation:

Assume Ray's sister's age is x.  

Ray's age is (x/2)+3, i.e (x+6)/2  

If Ray is 10yrs old,then  

(X+6)/2 = 10,  

x+6 = 20  

x = 14  

Therefore,Ray's siSter's /e is 14years

ANSWER

[tex]a_{14} = 5[/tex]

EXPLANATION

The given matrix is a 4 by 4 matrix.

We want to find

[tex]a_{14}[/tex]

This is the entry in Row 1 Column 4.

We trace row 1 Column 4 and identify the entry in their intersection.

This entry is 5

[tex]a_{14} = 5[/tex]