What is the relationship between an angle of elevation and an angle of depression in a right triangle?

Answer:

-b - 6

Step-by-step explanation:

4(1 - 2b) + 7b - 10

Apply the distributive property:

4(1 - 2b) + 7b - 10

(4)(1) + (4)(−2b) + 7b + (−10)

4 + (−8b) + 7b + (−10)

Combine like terms:

4 + −8b + 7b + −10

(−8b + 7b) + (4 - 10)

-b - 6

Answer:

-b - 6

Step-by-step explanation:

4 (1 - 2b) + 7b - 10

4 - 8b + 7b - 10

-b - 6

Answer:

14.25

Step-by-step explanation:

95*0.85=80.75

95-80.75=14.25

Answer:

The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.

Answer:

Option B, (39, -59, 43)

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

Decreasing rate = 12% = 0.12

y = 2400 * (1- 0.12)^x = 2400*(0.88)^x

x = 8 years

[tex]y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863[/tex]

Phase shift and period change

Rewriting the equation:

y = cos ( 2 ( x - 2 ) )

Phase shift 2 units to the right

Period changed to 2pi/2 = pi

Answer:

There are no pictures but the dialtion would be the same figure but in an increased size. If you add pictures I can give you a more definite answer

Answer:

here you go!!

Hope it helps

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Step-by-step explanation:

The scale factor of the dilation is 0.78

The centre of dilation is located at (0,0)

The scale factor of a dilation is the ratio of the corresponding component of the final image to the original image.

According to the image given, the scale factor will be the ratio of the radius of the final image to the original image as shown below:

[tex]Scale \ factor = \frac{small \ radius}{large \ radius} \\Scale \ factor = \frac{7}{9}\\ Scale \ factor=0.78[/tex]

Hence the scale factor of the dilation is 0.78

The centre of dilation is located at the origin because the radius is the distance between the centre of the circle and its circumference. We can therefore conclude that the centre of dilation is located at (0,0)

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

The center of dilation is a point to the right of both circles.

From Analytical Geometry we know that every Circle is defined by its Radius, its form is directly proportional to its radius. Hence, the Scale Factor of the Dilation ([tex]f[/tex]) is the following ratio:

[tex]f = \frac{r_{2}}{r_{1}}[/tex] (1)

Where:

[tex]r_{1}[/tex] - Radius of the original circle.

[tex]r_{2}[/tex] - Radius of the dilated circle.

If we know that [tex]r_{1} = 9[/tex] and [tex]r_{2} = 7[/tex], then the scale factor of the dilation is:

[tex]f = \frac{7}{9}[/tex].

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

There is a geometrical approach to determine the location of the Center of Dilation. We draw two lines tangent (blue lines) to both circles and we extend to the right of the scene, the point in which both intersects each other is the location of the center of dilation. (representation is included in the image attached below)

In a nutshell, the center of dilation is a point to the right of both circles.

Answer:

1. 1 & 16, 2 & 8, 4 & 4

2. 1 & 39, 3 & 13

3. 1 & 50, 2 & 25, 5 & 10

Answer:

4.9...Maybe???

Step-by-step explanation:

just writing this to post my answer

Answer:

b1 = 0, b2 = 0

EXPLICACION

A = 12 b1 + b2 h

A - 12 b1 - b2 h = 0

b2!=0, h = -(12 b1)/b2

2

3x. + 63x + 9x + 189

Step-by-step explanation:

Use distributive law, in other words multiply the first bracket terms by the second bracket terms

Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

Answer:

40

Step-by-step explanation:

Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,

L.C.F. = 1×5×8 = 40, so common denominator = 40

Answer:

To determine which number is greater, 0.5 or 0.14, you must determine which of the two has a higher ratio with respect to a whole number. Thus, since 0.5 is equal to 1/2 and 0.14 is equal to 7/50, 0.5 is the greater number.

Answer:  1:30 PM

It takes 30 minutes

==========================================================

Explanation:

x = number of hours traveled

We'll use the equation

distance = rate*time

You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.

16x = 8

x = 8/16

x = 1/2

x = 0.5

Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.

If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.

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

Extra info:

You travel 12x = 12*0.5 = 6 miles

Your friend travels 4x = 4*0.5 = 2 miles

Total distance = you+friend = 6+2 = 8 miles

This helps confirm the answer.

Answer:

A fraction that is equivalent to

8

3

is

16

6

.

Explanation:

To determine a fraction that is equivalent to

8

3

, multiply by a fraction equivalent to 1

A fraction equivalent to 1 is a fraction such as

2

2

and

3

3

. Multiplying by these is the same as multiplying by 1, so the ratio does not change.

One example is to multiply

8

3

by

2

2

.

8

3

×

2

2

=

16

6

8

3

and

16

6

have the same ratio, 3:8.

If you divide each numerator by each denominator, the result will also be the same.

3÷8=0.375

6÷16=0.375

You can do this with any equivalent fraction, even

100

100

and higher!

Other equivalent fractions to

8

3

are:

24

9

,

32

12

,

64

24

,

160

60

,

168

63

Answer:

kyrin had 16 friends

Step-by-step explanation:

40 - 2 (x) = 8 make x as friends

- 2x = 8 - 40

- 2x/ - 2 = - 32/ -2

x = 16

Answer:

m=9n

Step-by-step explanation:

Linear equation, straight forward m=3n. Highlighted point is n=3 and m=9*3=27

The equation for the total money raised will be m = 9n.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the drama club sells sweatshirts for $9 dollars each to raise money for their club.

From the table:-

The number of Sweatshirts               Money raised

       1                                                            9

       3                                                          27    

       4                                                           36

The equation will be written as:-

m = 9n

m = 9 x 1 = 9

m = 9 x 3 = 27

m = 9 x 4 = 36

Therefore, the equation for the total money raised will be m = 9n.

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Answer:

r = 100

6.5r = 650

Step-by-step explanation:

let r be resistors.

6.5r + r = 750

Simplify:

6.5r + r = 750

7.5r = 750

------   ------

7.5     7.5

   r = 100

100 × 6.5 = 650

One resistor is 100 ohms, and he other is 650 ohms.

Hope this helped.

The sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.

According to the question, here we need to take a variable to find the size of each resistor then multiply 6.5 with the variable with the first one. For the second there is no change in the variable. Then adding them we get 750 ohms. Simplifying we get their respective size

Let us assume the other resistor's size be x

Here,

The First resistor's size is 6.5 times the other. Hence, the no. is 6.5x

Given that : the sum of two resistors in 750 ohms

FINDING SIZE :

First Resistor's Size = 6.5x = 6.5*100 = 650 ohms

Other Resistor's Size = x = 100 ohms

[Note : Symbol of ohm is Ω]

Answer:

A. vertical angles

Vertical angles are supplementary angles when the lines intersect perpendicularly

Answer:

a)7640

b)4325670

Step-by-step explanation:

when rounding off a number one of the factors to consider is the number before the number you are supposed to round off,if the number is greater than 5 or equal to then you can go ahead and add a 1 to the number you have to round off.but if the number before is less than 5 you just have to leave the number the way it is.in this case for the first question you can see that the tens number is 3 and the number before is greater than 5 so you can add a 1 to the 3 to make it 4, bringing the answer to 7640 the 9 becames a zero..for the second one you can see that the number before the tens number is less than 5 so you can't add a 1 to it leaving the answer as 4325670..

I hope this helps

Answer:

Speed = 2 7/81 feet per second

Step-by-step explanation:

Distance travelled = 13/18 feet

Time taken = 9/26 seconds

Find the speed of Jayden in feet per second.

Speed = Distance travelled / Time taken

= 13/18 ÷ 9/26

= 13/18 × 26/9

= (13 * 26) / (18 * 9)

= 338 / 162

= 2 14/162

= 2 7/81 feet per second

Speed = 2 7/81 feet per second

Jayden speed is 2 7/81 feet per second

Answer:

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3

Step-by-step explanation:

A trigonometric function is the same as

[tex]f(x) = a \cos(b(x + c)) - d[/tex]

Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.

Given the function

[tex]7 \cos(2x + \pi) - 3[/tex]

The amplitude is 7, and the midline is -3. The period is

[tex] \frac{2\pi}{2} = \pi[/tex]

The phase shift is

[tex]2x + \pi = 0[/tex]

[tex]2x = - \pi[/tex]

[tex]x = - \frac{\pi}{2} [/tex]

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3.

Answer:

Step-by-step explanation:

The equation for the direct variation is, for us (using f and m instead of y and x):

f = km, where k is the constant of proportionality. We need to solve for this first using the first set of given values:

-19 = k(14) so

[tex]k=-\frac{19}{14}[/tex] Now plug that in with second set of givens, namely to find f when m is 2:

[tex]f=(-\frac{19}{14})(2)[/tex] and

[tex]f=-\frac{19}{7}[/tex]

Answer:

3015.92894745 cm^3

Step-by-step explanation:

Formula for volume of cylinder(v)= πr^2h

Here,

r=8 cm

h=15cm

Now,

V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3

[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town

Answer:

First option

Remove 2 tiles

Answer:

52.5

Step-by-step explanation:

Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement

Now, m<B = 105°, since ABCD is a parallelogram, <B = <D

so, m<ADC = 105° so, m<ADE = 180°-105° = 75°

Now, m<EAD+m<AED+m<ADE = 180°

or, m<AED+m<AED+m<ADE = 180°

or, x+x+75°=180°

or, 2x=180+75°

or, 2x=105°

or, x=52.5°

We are required to find the volume of the object which comprises of a cylinder and a cone

The volume of the object is 108 in³

Volume of a cylinder = πr²h

π = 3

r = diameter / 2 = 4 in / 2 = 2 in

h = 8 in

Volume of a cylinder = πr²h

= 3 × (2 in)² × 8 in

= 3 × 4 in² × 8 in

= 96 in³

Volume of a cone = πr²h/3

= (3 × (2 in)² × 3 in) / 3

= (3 × 4 in² × 3 in) / 3

= 36 in³ / 3

= 12 in³

The volume of the object can be found by adding the volume of the cylinder and the volume of the cone

Total volume = Volume of a cylinder + Volume of a cone

= 96 in³ + 12 in³

= 108 in³

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