What is the area of this polygon on a coordinate plane?

10 square units
20 square units
16 square units
12 square units

Answer:

C and F

Step-by-step explanation:

Answer:

A, F

Step-by-step explanation:

ratio of sides in a 30-60-90 triangle is  1 : [tex]\sqrt{3}[/tex] : 2

Answer:

x=28

Step-by-step explanation:

1/2x - 3 = 11

Add 3 on both sides

1/2x = 14

Multiply 2 on both sides x=28

Answer:

For example, if f (x) and g (x) are inverses of each other, then we can ... Consider another case where a function f is given by f = {(7, 3), (8, –5), (–2, 11), (–6, 4)}. This function is one-to-one because none of its y - values appear more than once.

Step-by-step explanation:

Answer:

Step-by-step explanation:

So in the example you gave, a ratio of 7:12 means that for every 7 of the first item, there are 12 of the second. The order becomes very important, as changing the ratio to 12:7 would mean that for every 12 of the first item, there are 7 of the second, which is not the same thing at all

7:12

14:24

21:36

28:48

keep smiling always

Answer:

3√7

Step-by-step explanation:

9²+B²=12²

simplify

81+B²=144

minus the 81

B²= 63

Answer:

The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51.

This means that [tex]\mu = 125.32, \sigma = 49.51[/tex]

Less than 50:

p-value of Z when X = 50. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{50 - 125.32}{49.51}[/tex]

[tex]Z = -1.52[/tex]

[tex]Z = -1.52[/tex] has a p-value of 0.0643

More than 150

1 subtracted by the p-value of Z when X = 150. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{150 - 125.32}{49.51}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915

1 - 0.6915 = 0.3085

The probability that his bill will be less than $50 a month or more than $150 for a single month is:

0.0643 + 0.3085 = 0.3728

The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.

Answer:

tan

Step-by-step explanation:

take 19 degree as reference angle

using tan rule

tan 19=opposite/adjacent

0.34=14/x

x=14/0.34

x=41.17

x=41.2

Answer:

they would sell 496 bottles

Step-by-step explanation:

if %1 of 800 is 8, then pultiply that by 62, since 62% said they liked tide

Answer:

we have

-3+4i

let magnitude be |z|

|z|=[tex] \sqrt{( - 3) {}^{2} + 4 {}^{2} } [/tex]

|z|=5 unit

Answer:

The magnitude of -3 +4i is 5

Step-by-step explanation:

Answer:

plz if you knew if you new it plz tell me

Answer:

0.8k +14

Step-by-step explanation:

See the steps below:)

Answer:

Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12) or Choice 2

Step-by-step explanation:

The last two answers get eliminated because their leading coefficients aren't 2. The first option is wrong because if you plug in -5 and +12 into x the function won't equal 0. So the correct answer is the Second answer: Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)

Answer:

The polynomial function that has a leading coefficient of 2, a root of 5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is choice 2.

Step-by-step explanation:

A leading coefficient of 2 means that the number multiplying all the binomial would be 2, so you know it is not choices 3 and 4. A root of -5 with a multiplicity of 3 means that when you replace x with -5, three binomials will result in 0, which helps eliminate the first choice. A root of 12 with a multiplicity of 1 means that when you replace x with 12, you will have a binomial that results in 0. Using all of this information, you'll get that the polynomial that has a leading coefficient of 2, a root of -5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is [tex]f(x)=2(x+5)(x+5)(x+5)(x-12)[/tex].

Answer:

m<QDC = 77

Step-by-step explanation:

First we need to generate an equation in order to find the value of x.

Thus:

m<QDC = ½(Arc QBC) => Inscribed Angles Theorem)

5x + 17 = ½(4x - 6 + 9x + 4)

5x + 17 = ½(13x - 2)

Multiply both sides by 2

2(5x + 17) = 13x - 2

10x + 34 = 13x - 2

Collect like terms

10x - 13x = -34 - 2

-3x = -36

Divide both sides by -3

-3x/-3 = -36/-3

x = 12

Find m<QDC:

m<QDC = 5x + 17

Plug in the value of x

m<QDC = 5(12) + 17 = 70 + 17

m<QDC = 77

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

Step-by-step explanation:

common ratio r = 98/140

first term a = 140

geometric sequence formula is an = ar^(n-1)

an = 98^(n-1)

where n is the number of terms in the sequence

Answer:

120

Step-by-step explanation:

volume of triangular prism = area of base times length

the base is a triangle and the area of a triangle can be calculated by using this formula

[tex]a=\frac{bh}{2}[/tex]

where b = base length and h = height

Dimensions of base

base length = 8cm and height = 3cm

Thus,

[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\[/tex]

The length of the triangular prism is 10cm

Thus volume = 10 * 12 = 120

Answer:

42.08inches

Step-by-step explanation:

Given data

SIze of TV= 50 inch

Width= 27inches

Length= ??

Applying Pythagoras theorem

z^2= x^2+y^2

50^2=  x^2+27^2

square root both sides

50^2= x^2+27^2

2500= x^2+ 729

2500-729=x^2

1771=x^2

x= √1771

x= 42.08

Hence the lenght is 42.08inches

Answer:

option b : 90 sq. cm

Step-by-step explanation:

1) Area of circle with radius = 12cm

Area = π r^2

= 3.14 * (12) (12)

= 3.14 * 144

= approx 452.4

2) Circumference of circle with radius = 12cm

Circumference = 2πr

= 2 * 3.14 * 12

= approx 75 .4

3) Arc length = 15cm ......(given)

[tex] \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} [/tex]

[tex] \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} [/tex]

[tex]area \: of \: sector \: = \frac{15 \times 452.4}{75.4} [/tex]

[tex] = \frac{6786}{75.4} [/tex]

[tex] = 90 {cm}^{2} [/tex]

Answer:

No.

Step-by-step explanation:

In similar triangles, all the angles are congruent.

b = 180 - 90 - 43 = 47

c = 180 - 90 - 48 = 42

1 set of angles is 90, 43, and 47

And the other is 90, 48, and 42.

Meaning the triangles are not similar.

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

school c so B would be correct

Answer:

-23, -24

Step-by-step explanation:

Adding negative numbers gets you another negative number. Therefore the numbers must be -23 and -24.

9514 1404 393

Answer:

  3.  C(−1, −5), D(2, −5)

Step-by-step explanation:

The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...

  D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)

  C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)

The two points required to make a rectangle with an area of 18 square units are ...

  C(-1, -5), D(2, -5)

_____

The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.

Answer:

b

Step-by-step explanation:

< less than

> greater than

= equal to

1,372 is less than 3,496 true

1,372 is greater than 3,496 false

2,583 is less than 4,194 true

3,496 is greater than 1,372 true

Answer:

4 solutions

Step-by-step explanation:

if the equation is 2x^4 -3x^3 -24x^2 +13x +12 = 0 you look at the highest degree to find how many solutions. the degree being the highest exponent. so in this case it would be the exponent that is 4 so there should be 4 solutions.

Answer:

3x-1

Step-by-step explanation:

3x^2+2x-5=3x-1 x1-25

Answer:

678.24 cubic centimeters

Step-by-step explanation: