give area of a rectangle measuring 12 ft by 9ft and please show all the work

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Explanation:

Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y

y = measure of arc CDF

Adding the three arcs forms a full circle of 360 degrees

(arc CBH)+(arc FGH)+(arc CDF) = 360

170+64+y = 360

y+234 = 360

y = 360-234

y = 126

arc CDF = 126 degrees

Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.

inscribed angle = (arc measure)/2

x = (arc CDF)/2

x = 126/2

x = 63

Answer:

rewrite the fromula 126

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given one zero of the quadratic polynomial kx² + 3x + k is 2,

Substitute x = 2 in the polyomial , we get

k(2)²+3×2+k = 0

=> 4k + 6 + k = 0

5k+6 = 0

5k= -6

k= -6/5

Therefore,

Value of k = -6/5

Answer:

Step-by-step explanation:

A(0,0) ∧  B(3,0)  ⇒  AB = 3

A(0,0) ∧  C(0,4)  ⇒  AC = 4

From Pythagorean theorem:

AB² + AC² = AB²

3² + 4² = AB²

AB² = 9+16 = 25

AB = 5

Perimeter:  

               AB + AC + BC = 3 + 4 + 5 = 12

Answer:

x=11

Step-by-step explanation:

5x+7=62

5x=62-7

5x=55

x=11

Answer:

Vertex = (7,5)

Length of latus rectum = 2 units

Step-by-step explanation:

The vertex form of a parabola is

[tex]x=a(y-k)^2+h[/tex]    ...(1)

where, (h,k) is vertex and length of latus rectum is [tex]\left|\dfrac{1}{a}\right|[/tex].

The given equation is  

[tex]x=\dfrac{1}{2}(y-5)^2+7[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]h=7,k=5,a=\dfrac{1}{2}[/tex]

So, vertex of parabola is (7,5).

Length of latus rectum is

[tex]L.R.=\left|\dfrac{1}{a}\right|=\left|\dfrac{1}{\frac{1}{2}}\right|=2[/tex]

Therefore, the length of the latus rectum is 2 units.

Answer:

Step-by-step explanation:

Number of candies with Forest = 12

Candies containing coconut and chocolate both = Number common in coconut and the chocolate = 3

Candies which do not contain coconut but contain the chocolate = 6

Candies which contain the coconut but do not contain the chocolate = 1

Candies which neither contain the chocolate nor coconut = 2

From the given Venn diagram,

                                                Contain coconut         Do not contain coconut

Contain chocolate                              3                                       6

Do not contain chocolate                 1                                        2

Answer:

C = 4 + 0.5d

Step-by-step explanation:

General equation: y = ax + b, with b is fixed term and a is rate per x.

Here,

C = y

fixed term b = 4

rate a = 0.5 per kilometer (d)

Answer:

5z

Step-by-step explanation:

As product = multiplication =>

5 x z --> 5(z)

[tex]\text{Find the product of 5 and z}\\\\\text{The key term in this questions is product, and in math it translates to}\\\text{the answer when multiplled}\\\\\text{In this case, you would multiply them together to get your "product"}\\\\\text{Solve:}\\\\5\cdot z\\\\\boxed{5z}[/tex]

Answer:

D. sum of these edges is increased by 24 inches -- True

Step-by-step explanation:

Given a cube and its edge is increased by 2 inches.

To study the effect of this increase in the Volume, area of each face, diagonal and sum of edges.

Solution:

Let the side of original cube = a inches.

Formula for volume of cube:

[tex]V =side^3 = a^3[/tex]

If the side is increased by 2 inches, the side becomes (a+2) inches.

So, new volume, [tex]V' = (a+2)^3[/tex]

Using the formula:

[tex](x+y)^3 =x^3+y^3+3xy(x+y)[/tex]

[tex]V' = (a+2)^3 = a^3+8+3\times 2 \times a(a+2)=a^3+8+6a(a+2)[/tex]

So, [tex]V' = V + 8+6a(a+2)[/tex]

Volume increased by 8+6a(a+2) [which is not equal to 8]

So, statement is false:

A. volume is increased by 8 cubic inches  -- False

Each face in a cube is a square.

Area of each face, A = [tex]side^2 = a^2[/tex]

New area, A' = [tex](a+2)^2[/tex]

Using the formula: [tex](x+y)^2 =x^2+y^2+2xy[/tex]

[tex]A' = a^2+4+4a[/tex]

Area increased by 4+4a [which is not equal to 4 sq inches]

B. area of each face is increased by 4 square inches -- False

Diagonal of each face = [tex]a\sqrt2[/tex]

Increase of 2 in the edge:

New diagonal = [tex](a+2)\sqrt2 = a\sqrt2+2\sqrt2[/tex]

So, increase of [tex]2\sqrt2[/tex] not 2.

C. diagonals of each face is increased by 2 inches -- False

There are 12 number of edges in a square.

So sum of all 12 edges  = 12a

When edge is increased by 2, sum of all edges = 12(a+2) = 12a + 24

An increase of 24.

D. sum of these edges is increased by 24 inches -- True

Phone calls to texts is 3 to 5, so for every 3 phone calls she makes 5 texts:

Divide total phone calls by 3:

27/3 = 9

Multiply that by text ratio:

9 x 5 = 45

She sent 45 texts.

[tex]\boxed{\sf \overrightarrow{XV}\:and\:\overrightarrow{XY}}[/tex]

[tex]\Large{\underline{\sf Observations:-}}[/tex]

Option:-1

Question asks to find opposite rays .Here the given options are segments so this is wrong.

Option-2

This is also given segments so its wrong

Option:-3

Question asks to find rays having endpoint x .means both started from one point and went different sides

So here Its v-x-y so its wrong.

Answer:

3 roots

Step-by-step explanation:

The roots are the values of x on the x- axis where the graph crosses x- axis

The graph crosses the x- axis at 3 points, thus has 3 roots

Answer:

see explanation

Step-by-step explanation:

point on left is -1 and 3/6 = -9/6 = -3/2

point on right is 5/6

Difference 5/6 - -3/2 = 14/6 = 7/3

Answer:

Weak negative correlation

Answer:

x=5

Step-by-step explanation:

To find the mean, add up all the numbers and then divide by the number of numbers

(3+ 2+x+ 11+ 13+14)/6 = 8

Multiply each side by 6

(3+ 2+x+ 11+ 13+14) = 48

Combine like terms

43+x = 48

Subtract 43 from each side

x =5

Answer:

[tex]\huge \boxed{{x=5}}[/tex]

Step-by-step explanation:

The mean is the average value of a data set.

[tex]\displaystyle \sf mean = \frac{sum \ of \ terms}{number \ of \ terms}[/tex]

The mean is given solve for x.

[tex]\displaystyle 8 = \frac{3+2+x+11+13+14}{6}[/tex]

Multiply both sides by 6.

[tex]\displaystyle 8(6) = \frac{3+2+x+11+13+14}{6} \times (6)[/tex]

[tex]48=3+2+x+11+13+14[/tex]

Combine the numbers on the right side of the equation.

[tex]48=x+43[/tex]

Subtract 43 from both sides.

[tex]48-43=x+43-43[/tex]

[tex]5=x[/tex]

Answer:

d=5√2 unit

Step-by-step explanation:

distance between two points d=√(x2-x1)²+(y2-y1)²

two pints (-3,-4) and (4,-5)

d=√(4-(-3)²+(-5-(-4)²

d=√(4+3)²+(-5+4)²

d=√49+1

d=√50

d=√25*2

d=5√2

Answer

[tex] \boxed{5 \sqrt{2} \: \: \:units}[/tex]

Step by step explanation

Let the points be A and B

A ( - 3 , - 4 ) ⇒( x₁ , y₁ )

B ( 4 , - 5 )⇒( x₂ , y₂ )

Now, let's find the distance between these points :

Distance = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

⇒[tex] \mathsf{ \sqrt{ {(4 - ( - 3))}^{2} + {( - 5 - ( - 4))}^{2} } }[/tex]

Calculate

⇒[tex] \mathsf{ \sqrt{ {(4 + 3)}^{2} + {( - 5 + 4)}^{2} } }[/tex]

⇒[tex] \mathsf{ \sqrt{ {(7)}^{2} + {( - 1)}^{2} } }[/tex]

Evaluate the power

⇒[tex] \mathsf{ \sqrt{49 + 1} }[/tex]

Add the numbers

⇒[tex] \mathsf{ \sqrt{50} }[/tex]

Simplify the radical expression

⇒[tex] \mathsf{5 \sqrt{2} \: \: units}[/tex]

Hope I helped!

Best regards!!

Answer:

-11f +15

Step-by-step explanation:

-f-5(2f-3)

Distribute

-f -10f +15

Combine like terms

-11f +15

Answer:

B

Step-by-step explanation:

We apply distributive property first on the 2f thingie.

The negative 5 is applied on both the 2f and the negative 3 to get

-10f + 15 since two negatives equals a positive in math.

Then we subtract an "f" from the current data to get your answer since the original question was

-f -5 ( 2f - 3 )

So we get

-11f + 15 or B.

Answer:

Please refer to the attached figure.

Step-by-step explanation:

Given the function:

[tex]f(x) =cosx \ where\ \{0^\circ\leq x\leq 360^\circ\}[/tex]

OR, the given function can also be written as:

[tex]y = f(x) = cosx[/tex]

We know that graph of cosine is a wave.

and the range of cosine function is [-1, 1]

First of all, let us have a table of values at major values of x.

[tex]x = 0, f(x) = 1\\x = 90, f(x) = 0\\x = 180, f(x) = -1\\x = 270, f(x) = 0\\x = 360, f(x) = 1[/tex]

So, the table of values for f(x) is:

[tex]\begin{center}\begin{tabular}{ c c }x & cosx \\0 & 1 \\90 & 0\\180 & -1\\270 & 0\\360 & 1\\\end{tabular}\end{center}[/tex]

Let us mark these points on the xy coordinate axis where x axis represents value of x and y axis represents value of [tex]f(x) = cosx[/tex] and then join the points using a wave.

Please refer to the attached graph for the answer image.

Answer:

see below

Step-by-step explanation:

9/ 14

----------

3/5

9/14 ÷ 3/5

Copy dot flip

9/14 * 5/3

Rewriting

9/3 * 5/14

3 * 5/14

Multiply 3*5

15/14

Change from an improper fraction to a mixed number

14/14 + 1/14

1 1/14

Answer:

[tex]\boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

9/14 × 5/3

The factors can be canceled if they are factors of both the numerator of the first fraction and the denominator of the second fraction. The factors get cancelled leaving the second fraction to a whole number.

3/14 × 5

(3 × 5)/14

15/14

Answer:

the answer is 5 for blank

Step-by-step explanation:

30=6×blank

blank = 30÷6

blank= 5

Answer:

10

Step-by-step explanation:

d is the variable for distance

√(0−8)2+(−3−3)2=

√(−8)2+(−6)2=

√64+36=

√100=

10

Answer:

10

Step-by-step explanation:

Answer:

16!

Step-by-step explanation:

4 x 3 = 12 + 4 = 16

Answer: x=0.125 or 1/8

Step-by-step explanation:

[tex]7x-\frac{3}{4}=6x-\frac{5}{8}[/tex]

add 3/4 on both sides

[tex]7x-\frac{3}{4}+\frac{3}{4}=6x-\frac{5}{8}+\frac{3}{4}[/tex]

[tex]7x=6x+\frac{1}{8}[/tex]

subtract 6x on both sides

[tex]x=\frac{1}{8}[/tex]

Answer:

x = 1/8

Step-by-step explanation:

7x - 3/4 = 6x - 5/8

7x - 3/4 + 3/4 = 6x - 5/8 + 3/4

7x = 6x + 1/8

7x - 6x = 6x + 1/8 - 6x

x = (6x - 6x) + 1/8

x = 1/8

Answer: 189.41

Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117

I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!

Answer/Step-by-step explanation:

Recall: [tex] x^{-a} = \frac{1}{x^a} [/tex]

a. [tex] 4^{-3} = \frac{1}{4^3} = \frac{1}{64} [/tex]

b. [tex] 13^{-2} = \frac{1}{13^2} = \frac{1}{169} [/tex]

c. [tex] (-3)^{-2} = \frac{1}{-3^2} = \frac{1}{9} [/tex]

Answer:

The value = 1

Step-by-step explanation:

Here in this question, we are interested in calculating the product of the trigonometric identities given.

To adequately calculate this correctly, we shall need to express the trigonometric identities in their normal division form which is as follows ;

Mathematically;

cotA = 1/tanA

let’s leave sin A

sec A = 1/cos A

So inputing the values of the following, we have ;

1/tan A * sin A * 1/cos A

This can be written as;

1/tan A * sin A/cos A

Mathematically; sinA/cos A = tan A

making that substitution, we have;

1/tan A * tan A

= tan A/tan A = 1

Answer:

m = 30 + 15

Step-by-step explanation:

The distance traveled by the Vargas family in their car is 30 miles while the distance traveled when using their truck is 15 miles. To get the total distance traveled, we need to add the distance traveled by the truck and the distance traveled by the car. Since m stands for the total number of miles they drove, the equation needed to find the total distance traveled (m) is given as:

m = 30 + 15

m = 45 miles

Answer:

28\3

Step-by-step explanation:

Answer:

2(x-4) (x+9)

Step-by-step explanation:

Answer:

BH= 108 --> 1st until 6th space

so, 108/6 = 18 for each space

DE...?

DE only use 1 space so the answers is 18 unit

I hope this helps^_^