6. Find the value of the variable that results in congruent triangle

7. if you want to help with this one​

The population at the end of the 10 years is 6,500.

Given that,

A town with a population of 5,000 grows 3% per year.

We need to find the population at the end of 10 years.

Based on the above information, the calculation is as follows:

= 5,000 + 1,500

= 6,500

Therefore we can conclude that the population at the end of the 10 years is 6,500.

Answer:

First of all it's a geometric sequence and it is multiplying 2 every time

Step-by-step explanation:

2*2=4

4*2=8

8*2=16

The equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

The graph is a secant graph, and it has the following form

[tex]y = a\sec(bx) + c[/tex]

From the graph, we have the following parameters:

The amplitude (a) is calculated using:

a = 0.5 *(Local minimum - Local maximum)

a = 0.5 *(5 + 1) = 3

The vertical shift (c) is calculated using:

a = 0.5 *(Local minimum + Local maximum)

a = 0.5 *(5 - 1) = 2

The period (b) is calculated using:

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

This gives

[tex]b = \frac{2\pi}{6}[/tex]

Evaluate

[tex]b = \frac{\pi}{3}[/tex]

Substitute the values of a, b and c in [tex]y = a\sec(bx) + c[/tex]

[tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

Hence, the equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

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Answer:

6x^2yx2^1+y

Step-by-step explanation:

Answer:

r2=48

Step-by-step explanation:

r1=72

s1=12

s2=8

[tex]r \alpha s \\ \frac{r1}{s1} = \frac{r2}{s2} \\ \frac{72}{12} = \frac{r2}{8} \\ r2 = 8 \times \frac{72}{12} = 48[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

The equivalent expression will be ~

[tex] \boxed{ \sf - 7y + 14 \: \: }[/tex]

Answer:

(3)

Step-by-step explanation:

Simply divide 105/115

Answer:

(3)  91.30%

Step-by-step explanation:

[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]

[tex]\begin{aligned}\implies \sf Percentage\:score & = \sf \left(\dfrac{105}{115}\right) \times 100\\& = \sf 0.91304347...\times 100\\& = \sf 91.30\%\:(nearest\:hundredth)\end{aligned}[/tex]

Answer:

a) 80
b) 56

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Answer:

4

Step-by-step explanation:

The diameter of a circle is 2 times the radius. (the diameter is the length from an outer point in  the circle, to one directly across)

In this case, the radius is 2.

So, 2 x 2 = 4.

The diameter is 4.

4 in

The diameter of a circle is twice its radius. Here the given radius is 2 in.

So diameter = 2 in × 2 in = 4 in

Radius = Diameter/2

Diameter = Radius × Radius

Answer:

because 9 I 5x1 *

Step-by-step explanation:

do multiply 5 *1

Answer: 3/5 or 18/30

Step-by-step explanation: You have to find how many in total are not brown, which is 30 - 12 = 18

18/30 are not brown, or simplified is 3/5

Answer:

1. 48

2. 4

3. 12

Step-by-step explanation:

Step-by-step explanation:

this is a combined object :

there is the basic block at the bottom (21×21×17), and there is a pyramid on top of it.

so, we need to calculate the volume of both parts and add them for the total volume.

the volume of the block is, as mentioned :

21 × 21 × 17 (length×width×height) = 7,497 ft³

the volume of a pyramid is

length×width×height/3

which is in our case

21 × 21 × 9 / 3 = 21 × 21 × 3 = 1,323 ft³

so, the total volume is

7,497 + 1,323 = 8,820 ft³

Answer:

C.) Strong negative correlation

Step-by-step explanation:

Answer:

-14/3

Step-by-step explanation:

Use derivative = 0 to find turning point(S)

D f(x) = 3x + 10 = 0

3x = - 10

X = - 10/3

When X = - 10/3

F(x) = 1.5(10/3)^2 - 10(10/3) + 12

= (3*10*10) / (2*3*3) - 100/3 +12

= 50/3 - 100/3 + 36/3

= - 14/3

Answer:

[tex] - \frac{1}{100} [/tex]

Step-by-step explanation:

[tex] - \frac{4}{5x} = 80 \\ - \frac{4}{80 } = 5x \\ x = - \frac{1}{100} [/tex]

Answer:

52 square meters

Step-by-step explanation:

» Concepts

The surface area of a rectangular prism is the area of all the faces on it. The formula to find the TSA (total surface area) is 2(wl + hl + hw), where w = width, l = length, and h = height.

» Application

We're given the length as 4m, the width as 3m, and the height as 2m. Now, we just have to apply these values into our formula!

» Solution

Answer:

A.  7x + 3

Step-by-step explanation:

The perimeter of a 2D shape is the distance all the way around the outside.

⇒ perimeter = (2x + 1) + (x + 1) + (3x - 1) + (x + 2)

                     = 2x + 1 + x + 1 + 3x - 1 + x + 2

                     = 2x + x + 3x + x + 1 + 1 - 1 + 2

                     = 7x + 3

See attachment for answer.

Answer:

The population after 10 years will be 90,000.

Explanation:

2% of 75,000 is 1,500

the population will grow by 1,500 each year.

so 1,500 times 10 is 15,000

so than we add 75,000 + 15,000

we get the answer of 90,000.

Please mark me brainliest. Thank you.

Answer:

91425 population

Step-by-step explanation:

2% = .02    10 years    75 000 start

75 000 (1+.02)^10 = 91425

Answer:

answer is 60

Step-by-step explanation:

80+40+y=180 reason (co-interior angles supplementary)

y=180-80-40

y=60

The length of the rectangular garden which Travis drew on graph is equal to the large side of the rectangle made by four points and width is equal to short side.

The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.

P=2(l+w)

Here, (l) is the length of the rectangle and (w) is the width of the rectangle.

Travis drew a graph to plan the rectangular garden he has. The points over the graph marked are the four corners of the fence around the garden.

Now let suppose the two corner marked are with total distance of x while other two with total distance of y. Then the length will be x and width will be y.

Thus, the length of the rectangular garden which Travis drew on graph is equal to the large side of the rectangle made by four points and width is equal to short side.

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[tex]1 \dfrac 24 +2 \dfrac 14\\\\=1 + \dfrac 24+ 2 + \dfrac 14\\\\=3 + \dfrac 34\\\\=3 \dfrac 34[/tex]

Answer:

sorry is i m wrong hope this will help you

Step-by-step explanation:

z²-12z+24=0

z²-6x-6z+36-12=0

z(z-6)-6(z-6)-12=0

(z-6)(z-6-12)=0

(z-6)(z-18)=0

either

z-6=0

z=6

or

z-18=0

z=18

Answer:

I think it is ± 2y−2X1 −22y− 2X1−2+4=x2=x

Step-by-step explanation:

hope this helps if not let me know

Edit: It seems you want to find the measure of the angle at vertex C.

Consider two vectors x and y, the first of which begins at vertex C and ends at B, and the other begins at C and ends at A. We want to find the angle between x and y. If γ (gamma) is the measure of this angle, then

x • y = ||x|| ||y|| cos(γ)

Translating these vectors so that they start at the origin O, we get

C to B : x = (-2, 2) - (6, -2) = (-8, 4)

C to A : y = (6, 4) - (6, -2) = (0, 6)

Compute the dot product of x and y :

x • y = (-8, 4) • (0, 6) = 24

Compute their magnitudes:

||x|| = √((-8)² + 4²) = 4√5

||y|| = √(0² + 6²) = 6

Solve for γ :

cos(γ) = (x • y) / (||x|| ||y||)

cos(γ) = 24/(24√5)

cos(γ) = 1/√5

γ = arccos(1/√5) ≈ 63.4349°

A trapezium is a quadrilateral. The option that is true for the trapezium is A, D, and E.

A trapezium is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The given trapezium is an isoceles trapezium. Therefore, the properties of the trapezium that are true for KLMJ are:

Hence, the option that is true for the trapezium is A, D, and E.

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