How do I find the area of a triangle and a circle??

We will determine the density of the rock as follows:

So, the density of the rock is 7 g/cm^3.

Answer:

\(\boxed{\sf C. \ 10}\)

Step-by-step explanation:

\(\sf The \ intersecting \ chord \ theorem \ states \ that \ the \ products\)

\(\sf of \ the \ lengths \ of \ the \ line \ segments \ on \ each \ chord \ are \ equal.\)

\(NH \times HT = MH \times HY\)

\((x+20) \times 8=12 \times 20\)

\(\sf Expand \ brackets \ and \ multiply.\)

\(8x+160=240\)

\(\sf Subtract \ 160 \ from \ both \ sides.\)

\(8x+160-160=240-160\)

\(8x=80\)

\(\sf Divide \ both \ sides \ by \ 8.\)

\(\displaystyle \frac{8x}{8} =\frac{80}{8}\)

\(x=10\)

The value of x is 10.

We have a circle and inside it two chords MY and NT intersect at point H.

We have to find the value of x in the figure.

According to the intersecting chord theorem, when two chords say AB and CD intersect at point O, then

AO x OB = CO x OD

Applying the chord intersecting theorem to the figure in the question, we get -

MH x HY = NH x HT

12 x 20 = (x+20) x 8

240 = 8x + 160

8x = 80

x = 10

Hence the value of x is 10.

To solve more questions on Circles and chords, visit the link below -

https://brainly.com/question/15568573

#SPJ5

Answer:

The last table is the answer

Step-by-step explanation:

The last table has a constant slope of -3, hence it represents a linear function.

From the given table, we need to determine which of the table is a linear table.

Looking at the last table;

Slope = -4-(-2)/2-1
Slope = -4+1/1

Slope = -3

Since the last table has a constant slope of -3, hence it represents a linear function.

Learn more on function here: https://brainly.com/question/3632175

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

To learn more on supplementary angles: https://brainly.com/question/29117467

#SPJ1

Answer:

  see attached

Step-by-step explanation:

You want a series of functions and their transformations that will develop a graph of a block capital letter "M", using trig functions.

The block letter M consists mainly of straight lines. To approximate a straight line, we have elected to use the portion of the sine function in the interval [-π/3, π/3] where it is approximately straight, but shows a hint of the sine function.

First, we created a function that moves that segment of the sine function so it is defined between the points (0, 0) and (1, 1). This makes scaling relatively easy.

Then, we created a function that draws that segment between coordinates (a, b) and (c, d).

We used this second function to draw segments between the points we chose for the outline of the left half of the letter.

Finally, we created the right half of the letter by reflecting those functions over the vertical line of symmetry (at x = 4.7). The end result is shown in the first attachment. The function and segment definitions not shown in the first attachment are shown in the second attachment. The f( ) in the Reflection section fills in the horizontal segment between the two halves of the letter.

__

Additional comment

Appending this identifier to the Desmos URL will give you the graph and function definitions we show here. This should eliminate the need to type them, if the result here is suitable.

We have used 13 function definitions that need to be changed if you desire to move the letter to different coordinates or scale it. You could combine these into two piecewise functions (one for the top, one for the bottom), so that translation or scaling could be done more easily.

/calculator/mgh4fgvcge

<95141404393>

Answer:

105.12 ft^2

Step-by-step explanation:

Area of a rectangle: bh

In this case 8*10.... so area of the rectangle is 80

Area of a circle: pir^2

Half it for a semicircle.

so 1/2 pi r^2

radius is 4 cuz its half of 8.

so 1/2(3.14)(4^2)=(0.5)(3.14)(16)=25.12

Now add up 80+25.12

Total is 105.12

Hope I helped :)

Answer:

h(x) = (x-2)^2

Step-by-step explanation:

Answer:

V=1872

Step-by-step explanation:

Area of base

A= l×w

A= (6+6)×(6+6)

A=144

Volume

V= area of base×height

V= 144×13

V=1872

Answer:

The correct answer is 468pi cubic units

For my plato fam

Step-by-step explanation:

The total height of the objects is 38/8 cm

The given parameters are:

Each height = 2/8 cm

Number of ticks = 19

The total height of the objects is then calculated as:

Height = Each height * Number of ticks

So, we have

Height = 2/8 cm * 19

Evaluate the product

Height = 38/8 cm

Hence, the total height of the objects is 38/8 cm

Read more about products at:

https://brainly.com/question/10873737

#SPJ1

From the two column proof below to prove that ABCD is a rhombus, the missing reason is reason 6; C. Opposite sides of a parallelogram are congruent.

Given: ABCD is a parallelogram.

The two column proof that ABCD is a rhombus is;

Statement 1;  ABCD is a parallelogram. AD = AB and AC bisects ∠BCD and ∠BAD

Reason 1; Given

Statement 2; ∠BCA ≅ ∠DCA

Reason 2; Definition of an angle bisector

Statement 3; AC ≅ AC

Reason 3; Reflexive property of congruence

Statement 4; ΔABC ≅ ΔADC

Reason 4; Angle Side Angle Congruence Postulate

Statement 5; AB ≅ AD, BC ≅ DC

Reason 5; Corresponding parts of congruent triangles are equal.

Statement 6; AB ≅ CD, BC ≅ AD

Reason 6; Opposite sides of the parallelogram are congruent

Statement 7; AB ≅ AD, BC ≅ CD

Reason 7; Transitive Property of Congruence

Statement 8;  ABCD is a rhombus

Reason 8: Definition of rhombus

Read more about two column proof at; https://brainly.com/question/26111221

#SPJ1

Given,

The coordinates of the vertices of the pentagon is,

A(-7.42,2.42), B(0,7.88), C(7.42,2.42),D(4.605,-6.35), and E(-4.605-6.35)

Required

The approximate perimeter of the pentagon.

The perimeter of the pentagon is calculated as,

The length of side AB is,

The length of side BC is,

The length of side CD is,

The length of DE is,

The length of AE is,

The perimeter of the pentagon is,

Hence, the perimeter of the pantagon is 46.0568.

Finn would run 18 miles after 6 track practices.

We have,

Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.

Unit rate: 6 miles / 2 practices = 3 miles per practice

To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.

Total miles: 3 miles/practice * 6 practices = 18 miles

Read more about miles

brainly.com/question/23245414

#SPJ1

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$32000\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=32000\left(1+\frac{0.0625}{1}\right)^{1\cdot 6}\implies A=32000(1.0625)^6\implies A\approx 46038.78\)

Answer:

th answer is 10.

Step-by-step explanation:

in the pic. can i get brainlist

Answer:

64

Step-by-step explanation:

First, we multiply by 4 on both sides to get rid of the pesky fraction. We get:

x - 24 = 40

Now we add 24 on both sides to isolate the x and get all of the numbers on the other side:

x = 64

To check our work, we can input our answer back into the equation:

(64)/4 - 6 = 16 - 6 = 10

This satisfies the equation. Therefore, x = 64 is our answer!

I hope this helps! :)

Answer:1.5

Step-by-step explanation:

Y=1/2 of x

Answer:

0 <x<3

Step-by-step explanation:

I hope this helps. Have a blessed day.

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

Learn more about truth table visit:

https://brainly.com/question/29155453

#SPJ1

Answer:

The answer is the secret beans cost $22.5 per pound.

Step-by Step: Step 1: make an equation. 12 lbs is the secret formula, and the cost in unknown lets put that as x. So 12 lbs +15 lbs of $18 mix which is the coffee beans =$20 per lbs. So the total amount is is 27 lbs. Now lets right the equation. 12x+15(18)=20(27) solve for x normally 12x+270=540        12x=270      x=22.5 SO the final answer is $22.5 I hope this helped.

The baristas secret formula beans cost per pound is $19.2.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that a barista mixes 12 lb of his secret-formula coffee beans with 15 lb of another bean that sells for $18 per lb.

The cost of 1 pound of another bean as -

$(15/18) = $(5/6)

Assume that 1 pound of secret coffee costs ${x}. So, we can write -

x + 5/6 = 20

x = 20 - 5/6

x = 19.2

Therefore, the baristas secret formula beans cost per pound is $19.2.

To solve more questions on equation modelling, visit the link-

brainly.com/question/29014197

#SPJ2

The midpoint of the given endpoints is (0,4).

From the graph:

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

Midpoint = (x1+x2 / 2 , y1+y2 / 2)

= (-4+4 / 2 , 4 + 4 / 2)

= (0/2 , 8/2)

= (0,4)

Therefore the midpoint of the given endpoints is (0,4).

Learn more about the midpoint here:

https://brainly.com/question/28224145

#SPJ1

Answer:

A

Step-by-step explanation:

The correct statement regarding the average rate of change of the functions f(x) and g(x) on the interval [-2,2] is given as follows:

Over the interval [-2,2], the function f is increasing at a faster rate than function g is decreasing.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

For the function f(x), the numeric values at x = -2 and x = 2 are given as follows:

Hence the rate is of:

(26 - 14)/(2 - (-2)) = 12/4 = 3. -> positive rate -> increasing.

For function g(x), the rate is given as follows:

(-16 - 4)/4 = -5.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

Answer:

4.24 inches

Step-by-step explanation:

212/50

Answer:

4.24 inches

Step-by-step explanation:

To get the answer you divide 212 miles by 50 miles.

Answer:

x=–2

Step-by-step explanation:

x-8=-10

x=-10-8

x=–2

Answer:

-8= -10

, = -10+8

, = -2

Answer:

(1, 3) should be the answer when u check it all out ya!! but try yourself tho

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

a) We know that 13 cities had soccer and football, 13 had soccer and volleyball, and 7 had all three sports. Therefore, the number of cities that had only 5 soccer.

b)  34 cities had either a soccer team or a football team.

c)27 cities had either a soccer team or a football team, but not a volleyball team.

What is set theory?

(a) To find the number of cities that had only a soccer team, we need to subtract the cities that had soccer and at least one other sport from the total number of cities that had soccer.

From the given information, we know that 13 cities had soccer and football, 13 had soccer and volleyball, and 7 had all three sports. Therefore, the number of cities that had only soccer is:

24 (total cities with soccer) - 13 (cities with soccer and football) - 13 (cities with soccer and volleyball) + 7 (cities with all three sports) = 5

So, 5 cities had only a soccer team.

(b) To find the number of cities that had soccer or football, we need to add the number of cities that had soccer to the number of cities that had football and then subtract the cities that had both soccer and football (which were counted twice).

From the given information, we know that 24 cities had soccer, 23 had football, and 13 had both. Therefore, the number of cities that had soccer or football is:

24 (cities with soccer) + 23 (cities with football) - 13 (cities with both) = 34

So, 34 cities had either a soccer team or a football team.

(c) To find the number of cities that had soccer or football, but not volleyball, we need to subtract the cities that had all three sports from the total number of cities that had soccer or football (which we calculated in part b).

From the given information, we know that 7 cities had all three sports. Therefore, the number of cities that had soccer or football, but not volleyball, is:

34 (cities with soccer or football) - 7 (cities with all three sports) = 27

So, 27 cities had either a soccer team or a football team, but not a volleyball team.

Learn more about Set theory click here:

https://brainly.com/question/13458417

#SPJ1

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

The solution of the given system of equations is (4, 7).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)

Substitute equation (I) in (II), we get

3x-5=1/2 x+5

3x-1/2 x=5+5

2.5x=10

x=4

Substitute x=4 in equation (I), we get

y=3(4)-5

y=7

So, solution is (4, 7)

Therefore, the solution of the given system of equations is (4, 7).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

3/35 is the answer!

3 x 1 = 3

___

5 x 7 = 35