If BC = 3x, CD = 7x, and BD = 10, what is BC?

Answer:

9.33%

Step-by-step explanation:

Step one:

given

Principal= $10,000

Final amount = $150,000

time = 50-21= 29 years

Required

The rate

Step two:

to solve for the rate we can apply the formula for rate as

r = ln(A/P) /t

r= ln(150000/10000)/29

r= ln(15)/29

r=2.7080502011/29

r=0.0933

r= 0.0933*100

r= 9.33%

Answer:

3 different ways

Step-by-step explanation:

Answer:

3 different ways

Step-by-step explanation:

hope this helps

example of the diffrent way to write a ratio :

5 to 10

5 : 10

[tex]\frac{5}{10}[/tex]

Answer:

60%

Step-by-step explanation:

add them all to 20

add 7 and 5 to get 12

12 over 20 is 60 percent

Answer:

32%

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

In order to solve for x, first combine both fractions on the left

To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4

It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:

8x+24/32

Multiply 4x-2/8 by 4, you will get:

16x-8/32

Now you can add 16x-8/32 + 8x+24/32, you would get:

24x+16/32

Now you can start to solve for x

Your new equation is 24x+16/32 = 1/2

To solve for x, first multiply diagonally, then solve like a regular equation.

Multiply 24x+16 by 2 to get 48x+32

Then multiply 32 by 1 to get 32

Your new equation is 48x+32=32

Now subtract 32 by 32 to get 48x=0

Now divide 48 by 0 to get x=0

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

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Answer:

20

Step-by-step explanation:

15 is the mid so +5 is 20 thus 20 is the anser

Answer:

D

Step-by-step explanation:

points (-4,4) and (0,5)

slope: (y2-y1)/(x2-x1)

(5-4)/(0+4) = 1/4

y intercept given: (0,5)

Answer:

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.

Step-by-step explanation: I hope this helps

Answer:

y=mx + b

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we need to calculate the Total surface area of the cylindrical tank as shown;

TSA of the tank = 2πr² + 2πrh  

TSA of the tank = 2πr(r+ h)  where;

r is the radius of the tank

h is the height

Given

radius = 5.5ft

height = 16ft

Get the surface area;

TSA = 2π(5.5)(5.5+ 16)

TSA = 2π(5.5)(21.5)

TSA = 2π(118.25)

TSA = 2(3.14)(118.25)

TSA = 742.61ft²

If a gallon of paint will cover 130ft^2 of​ surface, then the total number of paint needed will be;

Total number of paint needed = 742.61/130

Total number of paint needed = 5.7

For one coat we will need 5.7gallons of paint

For two coats we will need 2 * 5.7gallons = 11.4

Hence approximately 11 gallons of paints will be needed for the two coats

Answer:

x=-2, 2.

Step-by-step explanation:

5x^2-20=0

factor out the 5

5(x^2-4)=0

5(x+2)(x-2)=0

(x+2)(x-2)=0/5

(x+2)(x-2)=0

x+2=0, x-2=0

x=0-2=-2,

x=0+2=2.

The number of minutes that Abby spend working on her science project altogether is 56 minutes.

From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.

Therefore, the time used altogether will be the addition of the time used for both occasions

= 22 minutes + 34 minutes

= 56 minutes

This illustrates addition.

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Answer:

y = 5x + 100

Step-by-step explanation:

Using the x and corresponding y values from the given table.

Let's use the coordinate (0, 100) and (1, 105)

The equation in slope intercept form is expressed as y = mx+c

m is the slope

c is the y-intercept

Slope m = y2-y1/x2-x1

m = 105-100/1-0

m = 5/1

m =5

Get the y intercept

Substitute the slope m = 5 and any point say (0, 100) into the equation

y = mx+c

100 = 5(0) + c

100 = c

c = 100

Get the required equation;

y = mx+c

y = 5x + 100

Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100

Answer:

y = -6x - 39

Step-by-step explanation:

A parallel line will have the same slope so m= -6, but it will have different points.

So we have y= -6x + b and the points are (8,9)

Substitute that in

9 = -6*-8 + b

9 = 48 + b

subtract 48 on both sides

9-48 = 48 - 48 + b

-39 = b

so equation is

y = -6x -39

click the red heart button to give thanks :) happy holidays

Answer:

y=-6x+9

0=-6x+9

6x=9

x=9/3

x=3/2

Answer:

B

Step-by-step explanation:

The answer is B because it tells you the letter atound triangle.

Answer:

b

Step-by-step explanation:

Answer:

good job its very good

Step-by-step explanation:

Answer:

7/-3

Step-by-step explanation:

6--1=7

-2-1=-3

Answer:

The slope is m=-7/3

m=y²-y¹/x²-x¹

m=(-1)-6/1-(-2)

m=-7/3

Answer:

y = 1/4x + 0 or just y = 1/4x

Step-by-step explanation:

First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.

The value of x is 5, the correct option is B

A quadrilateral with one side parallel to the other is a Trapezoid.

The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.

In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.

The length of AB = 12.6

The length of the midline EF = 8.8

The value of x =?

From the definition,

8.8 = (12.6 + x) /2

8.8 * 2 = 12.6 +x

x = 5

Therefore,the correct option is B.

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Answer: Dried apricots are less expensive they are $8.75

Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive

Answer:

-3/2

Step-by-step explanation:

Answer:Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

Answer:

x=15

Step-by-step explanation:

Answer:

16 17

Step-by-step explanation:

Answer:

Close to 6 miles. Exact is between 5.7 and 6

Step-by-step explanation:

Answer:

no  

Step-by-step explanation:

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)