Determine the area of the shape above. The formula for the area of a polygon is: Area = 1/2 (a n s) *

Answer:

3x18 = 3 (10+8) is an example of the commutative property of multiplication

Step-by-step explanation:

Answer: commutative property of multiplication

Step-by-step explanation:

Answer:

x=30.5

Step-by-step explanation:

Using midsegment 's theorea:

[tex]2=\dfrac{RG}{RS} =\dfrac{RH}{RQ} =\dfrac{GH}{SQ} \\\\4x-65=2x-4\\\\2x=61\\\\x=\dfrac{61}{2} \\\\x=30.5\\[/tex]

Answer:

46.94 degrees (approx)

Step-by-step explanation:

Work Shown:

The keyword "of" means "multiply".

150% = 150/100 = 1.5

150% of 3 = 1.5*3 = 4.5

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

100% = 3 meters

150% = 4.5 meters

The new width is 4.5 meters.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Megan’s room is expanded so the width is 150% of 3 meters.

This means,

100% = 3 meters

Multiply 150/100 on both sides.

150% = 150/100 x 3

150% = 4.5 meters

Thus,

The new width is 4.5 meters.

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Answer:

y = 3/2x-2

Step-by-step explanation:

slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 3/2x+b

Substitute the point in for x and y

1 = 3/2(2)+b

1 = 3+b

1-3 =b

-2=b

y = 3/2x-2

Answer:

$12,78

Step-by-step explanation:

$142 × 0,15 = $21,3

$21,3 × 0,6 = $12,78

Answer:

32

Step-by-step explanation:

Step 1: change 22 - ( -  10) into 22 + 10

Step 2: solve it like normal

Answer:

angle B is 62 Degress angle A is 87 degress D is 87 degress C is 28 degress.

Step-by-step explanation:

I am in geometry btw so i know this stuff and 65 plus 28 is 93 and 180 -93 is 87 so a is 87 and d is 87 too becuase of vertical angles and b is 62 becuase 90 -28 is 62 and c is 28 becuase of vertical angles your wellcome kid good luck!!!!

Answer:

hundredths place, 7,500.

Step-by-step explanation:

They would be the same when they are all rounded all of the numbers to the the hundredths place. And that number would be 7,500.

When rounding its 5 or higher round up, if its 4 or lower round down.

Answer:  see proof below

Step-by-step explanation:

     Statement                                           Reason

1.   ∠WZX ≅ ∠YZX                                  1. Given

2.   ZW ≅ ZY                                           2. Given

3.   ZX = ZX                                             3. Reflexive Property

4.  ΔWZX ≅ ΔYZX                                  4. SAS Congruency Theorem

5. WX = YX                                              5. CPCTC

6. ∠WXZ = 90°                                         6. bisector of isosceles ΔWZY

    ∠YXZ  = 90°

7. ZX is perpendicular bisector of WY   7. Definition of perpendicular bisector

Step-by-step explanation:

In this question we have to prove that zx = wy

the question is proved in the above attachment

and as we know that the straight line is of 180 degree and Ab is the bisector of line so the angles are also equally divided it means angle zxw= 90 and zxy = 90

Hope it helps you mate

4 zeroes basically means [tex]10^4[/tex]

$80=2^3\cdot 10$ and $70=7\cdot10$

there will be $10^2$ when you take the product not $10^4$

hence it will have 2 zeroes not 4

Answer:

The sine ratio is the ratio between the opposite side over hypotenuse. The cosecant ratio is the ratio between the hypotenuse over the opposite side, therefore cosecant is the reciprocal of sine.

To find a missing angle using sine, you would need to use the inverse of sine. For example,  if the sine was  [tex]\frac{30}{40}[/tex], to find the angle you would need to find sin⁻¹ of  [tex]\frac{30}{40}[/tex] which is x =  sin⁻¹ (0.75). Therefore x equals approximately 49°.  

Answer:

See attachment for Venn diagram

Percentage of only TV owners is 16%

Step-by-step explanation:

Given

[tex]TV\ Owners = 68\%[/tex]

[tex]Radio\ Owners = 72\%[/tex]

[tex]None = 12\%[/tex]

Required

Represent with a Venn Diagram

What percentage owned television

From the Venn Diagram and In sets theory; we have that

Total = (TV Owners - Radio and TV Owners) + (Radio Owner - Radio and TV Owners) + Radio and TV Owners + None

Represent Radio and TV Owners with y

[tex]Total = (TV\ Owners - y) + (Radio\ Owner - y) + y + None[/tex]

Substitute 68% for TV Owners, 72% for Radio Owners, 12& for None:

[tex]Total = 68\% - y + 72\%- y + y + 12\%[/tex]

Collect Like Terms

[tex]Total = 68\% + 72\%+ 12\%- y + y - y[/tex]

[tex]Total = 152\% - y[/tex]

In Sets, Total represents 100%; So, we have

[tex]100\% = 152\% - y[/tex]

Make y the subject of formula  

[tex]y = 152\% - 100\%[/tex]

[tex]y = 52\%[/tex]

The percentage of only TV owners is calculated by subtracting y from TV owners

[tex]\%P = 68\% - 52\%[/tex]

[tex]\%P = 16\%[/tex]

Answer:

The answer is 90%

Step-by-step explanation:

Answer:

[tex] X^{\frac{8}{15}} [/tex]

Step-by-step explanation:

[tex] X^\frac{1}{3} \times X^\frac{1}{5} = [/tex]

To multiply two powers with the same base, write the base and add the exponents.

[tex] = X^{\frac{1}{3} + \frac{1}{5}} [/tex]

[tex] = X^{\frac{5}{15} + \frac{3}{15}} [/tex]

[tex] = X^{\frac{8}{15}} [/tex]

Answer:

56.8

Step-by-step explanation:

7.1*8=56.8

Answer:

Hello,

Step-by-step explanation:

[tex]mes\ \widehat{C}=180^o-82^o - 52^o=46^o\\\\Using\ law\ of\ sinus:\\\dfrac{AB}{sin(C)}= \dfrac{AC}{sin(B)} \\\\\dfrac{450}{sin(46^o)}= \dfrac{AC}{sin(52^o)} \\\\AC=\dfrac{450*sin(52^o)}{sin(46^o)}= 492.9587..(ft)\approx{493(ft)}[/tex]

Answer:

Solution : Option D

Step-by-step explanation:

The first thing we want to do here is isolate the cos(t) and sin(t) for both the equations --- ( 1 )

x = 5cos(t) ⇒ x / 5 = cos(t)

y = 2sin(t) ⇒ y / 2 = sin(t)

Let's square both equations now. Remember that cos²t + sin²t = 1. Therefore, we can now add both equations after squaring them --- ( 2 )

( x / 5 )² = cos²(t)

+ ( y / 2 )² = sin²(t)

_____________

x² / 25 + y² / 4 = 1

Remember that addition indicates that the conic will be an ellipse. Therefore your solution is option d.

Answer:

B

Step-by-step explanation:

xy=6

y=6/x (1)

substitute (1) into 3y=x-3 and solve

Answer: x=29

Step-by-step explanation:

[tex]x-21=8[/tex]

add 21 to both sides

[tex]x-21+21=8+21[/tex]

[tex]21+8=29\\[/tex]

[tex]x=29[/tex]

Step-by-step explanation:

Measure the width, length and height of the shipping box in inches. Multiply the width, length and height of the box to calculate its volume in cubic inches. For example, if the box is 20 inches wide, 24 inches long and 16 inches high, then the volume is (20)(24)(16) = 7,680 cubic

Answer:

The volume of the shipping box would be 36 9/16

Step-by-step explanation:

One method to find the volume of the shipping box would be (l)(w)(h)

one we plug in our dimensions the equation would become 3 1/4 x 3 x 3 3/4

To simplify this we would first

Multiply

3 1/4 x 3 x 3 3/4 = 39/4 x 3 3/4

The bolded parts are the pieces we are working on

3 1/4 as an improper fraction is 13/4

13/4 x 3 = 13 x 3/4 = 39/4

- The second step would be to

Convert the mixed number to an improper fraction.

3 3/4  = ( 3 × 4 ) / 4 + 3/4 = 12 + 3 / 4 = 15/4

Now we have to Multiply

39/4 x 15/4 =  39 x 15 / 4 x 4 = 585/16

Lastly, we have to simplify

585/16 = 36 9/16

Answer:

x = (d - c) / (a - b)

Step-by-step explanation:

Let's simply isolate and solve for the variable x.

ax + c = bx + d

ax - bx + c = d

x (a - b) = d - c

x = (d - c) / (a - b)

Thus, we have expressed x in terms of a,b,c, and d.

Cheers.

:)

The value of x in terms of a,b,c, and d will be x = (d - c) / (a - b).

It is described as the process through which we add, subtract, multiply, and divide numerical values. It has the fundamental operators +, -, ×, and ÷.

The order in which arithmetic operations must be performed in an equation is referred to as PEMDAS. This rule states that operations must be performed as follows: parentheses, exponents, multiplication, or division, followed by addition or subtraction.

It is given that,

ax+c =bx +d

a≠b and c≠d

Rearrange the equation and solve it for the x in the following steps,

ax - bx + c = d

x (a - b) = d - c

x = (d - c) / (a - b)

Thus,the value of x in terms of a,b,c, and d will be x = (d - c) / (a - b).

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Answer:

The probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.

Step-by-step explanation:

Let the random variable X represent the amount of gas in Sarah's car.

It is provided that [tex]X\sim Unif(1, 16)[/tex].

The amount of gas in a car is a continuous variable.

So, the random variable X follows a continuous uniform distribution.

Then the probability density function of X is:

[tex]f_{X}(x)=\frac{1}{b-a};\ a<X<b[/tex]

For a continuous probability distribution the probability at an exact point is 0.

So, to compute the probability that the amount of gas in Sarah's car is exactly 7 gallons use continuity correction on both sides:

P (X = 7) = P (7 - 0.5 < X < 7 + 0.5)

              = P (6.5 < X < 7.5)

              [tex]=\int\limits^{7.5}_{6.5} {\frac{1}{16-1}} \, dx \\\\=\frac{1}{15}\times |x|^{7.5}_{6.5}\\\\=\frac{1}{15}\times (7.5-6.5)\\\\=\frac{1}{15}\\\\=0.0666667\\\\\approx 0.067[/tex]

Thus, the probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.

Answer:

(C) 408 miles

Step-by-step explanation:

Looking at this table, we can see that the beginning point is (0,0) so this is a linear slope, meaning we won’t have to add anything.

This means that for every time we rise in x, y will rise by the same amount.

When x is 1, y is 68 - so the constant of proportionality here is 68.

So, to find how much 6 hours would be we just multiply.

[tex]6\cdot68=408[/tex]

Hope this helped!

Step-by-step explanation:

Area of rectangle =L×W

Width =Area

[tex]w idth= \frac{area \ }{length} \\ \\width = \frac{ {y}^{2} + 4y - 45}{y + 9} \\ \\ = \frac{(y - 5)(y + 9)}{(y + 9)} \\ \\ width = y - 5[/tex]

Answer: b. False

Step-by-step explanation:

Hence, the given statement is absolutely false.

Answer:

-3/5, -1, -5/3,  -3, -7

Step-by-step explanation:

Let x go from 1 to 5

x =1      (1+2)/(1-6) = 3/-5 = -3/5

x =2      (2+2)/(2-6) = 4/-4 = -1

x =3      (3+2)/(3-6) = 5/-3 = -5/3

x =4      (4+2)/(4-6) = 6/-2 = -3

x =5      (5+2)/(5-6) = 7/-1 = -7

Answer:

a=3

Step-by-step explanation:

Given points (a, b) and (c,d), the midpoint of the points will be at

((a+c)/2, ((b+d)/2)

Therefore, given (9, 2) and (a,2a), our midpoint is at

((9+a)/2, (2+2a)/2) = (6,4)

Matching the x values to their corresponding x values and doing the same with the y values, we get

(9+a)/2 = 6

(2+2a)/2 = 4

First, we have

(9+a)/2 = 6

multiply both sides by 2 to remove the denominator

9+a = 12

subtract 9 from both sides to isolate a

a = 3

2a = 2 * a = 6

Confirming this, we have

(2+2a)/2 = 4

(2+6)/2 = 4

8/2=4

The value of a is 3 after using the bisection formula and the coordinate of the C is (3, 6).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

Point M is the midpoint of CD.

The coordinate of the C is (a, 2a)

The coordinate of the M is (6, 4)

The coordinate of the C is (9, 2)

Using bisection formula:

(a + 9)/2 = 6

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. I

a + 9 = 12

a = 12 - 9

a = 3

Or

(2a + 2)/2 = 4

a + 1 = 4

a = 3

Thus, the value of a is 3 after using the bisection formula and the coordinate of the C is (3, 6).

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Complete question is;

A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 128 ounces and a standard deviation of 0.20 ounce. You randomly select 35 cans and carefully measure the contents. The sample mean of the cans is 127.9 ounces. Does the machine need to be? reset? Explain your reasoning.

(yes/no)?, it is (very unlikely/ likely) that you would have randomly sampled 35 cans with a mean equal to 127.9 ?ounces, because it (lies/ does not lie) within the range of a usual? event, namely within (1 standard deviation, 2 standard deviations 3 standard deviations) of the mean of the sample means.

Answer:

Yes, we should reset the machine because it is unusual to have a mean equal to 127.9 from a random sample of 35 as the mean of 127.9 doesn't fall within range of a usual event with 2 standard deviations of the mean of the sample means.

Step-by-step explanation:

We are given;

Mean: μ = 128

Standard deviation; σ = 0.2

n = 35

Now, formula for standard error of mean is given as;

se = σ/√n

se = 0.2/√35

se = 0.0338

Normally, the range of values should be within 2 standard deviations of mean. In this case, normal range of values will be;

μ ± 2se = 128 ± 0.0338

This gives; 127.9662, 128.0338

So, Yes, we should reset the machine because it is unusual to have a mean equal to 127.9 from a random sample of 35 as the mean of 127.9 doesn't fall within range of a usual event with 2 standard deviations of the mean of the sample means.

Answer: 1 day

Step-by-step explanation:

i took the test lol...