What is the area of the triangle?

A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared

Answer:

c) [tex]\frac{x-2}{x+6}[/tex]

Step-by-step explanation:

When given that function (f) is the following,

[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]

The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,

[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]

If is given that function (g) is the following,

[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]

Then one should also factor the expression,

[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]

One is asked to find the following,

[tex]f(x)*g(x)[/tex]

To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,

[tex]f(x)*g(x)[/tex]

Substitute,

[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]

Simplify, cross out like terms in the numerator and denominator,

[tex]\frac{x-2}{x+6}[/tex]

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

Answer:

70 amps

Step-by-step explanation:

The current I is inversely proportional to the resistance R

I=k/R   (k is the constant of proportionality)

A)   I=210 amperes

     R=4 ohms

I=k/R

k=I×R

k=210×4=840

B)    R=12 ohms

     k=840

    I=k/R

   I=840/12=70 amperes

The current will be 40 mA when the resistance is 15 ohms.​

Ohms law says that the current running through the conductor is directly proportional to the potential difference across its extremities as long as the temperature and other physical conditions are constant.

Ohms law formula is -

V=IR, Where

Voltage is V and is measured in Volts,

The current flowing through the conductor is I and it represented in amperes and the resistance is R and is measured in ohms.

Given that, the voltage, V, in an electric circuit is held constant, If the current is 120mA when resistance is 5 ohms,

120 mA = 0.12 A

Therefore,

V = IR

V = 0.12 × 5

V = 0.6 volts

Now, when the resistance is 15 ohms, the current will be =

0.6 = I × 15

I = 0.6 / 15

I = 0.04 A

I = 40 mA

Hence, the current will be 40 mA when the resistance is 15 ohms.​

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Answer: 50%

Step-by-step explanation:

Answer:

What percent of 186 is 93?

answer:50

Answer:

x<-4

Step-by-step explanation:

x+9<5

-9 -9

x<-4

1. subtract the 9 on both sides to have x alone

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

Answer:

A) 1.84

Step-by-step explanation:

I just took the quiz

The standard error of the sampling size is 121 is 1.84

"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."

"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:

σx = σ / sqrt(n)."

Given,

Standard deviation of the sample is 20.2

and sample size is = 121

Standard error is = [tex]\sigma/\sqrt(n)[/tex]

i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84

Hence, option A is true.

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Answer:

2b + 10

Step-by-step explanation:

Answer:

20x^2 +19xy+3y^2

Step-by-step explanation:

See Image below :)

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Answer:

  20x² +19xy +3y²

Step-by-step explanation:

Use the distributive property.

  (4x +3y)(5x +y)

  = 4x(5x +y) +3y(5x +y)

  = 20x² +4xy +15xy +3y²

Collect terms.

  = 20x² +19xy +3y²

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

1/2*1/2*1/2*1/2= [tex]\frac{1}{2} ^{4}[/tex]  Which is apparently none of these answers since it’ll be 1/16.

(Did you make a mistake with 5/16?)

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

I know it is not 4/48 because that’ll be 1/12.

I know it would not be 1/20736 because the number is too small.

I know it would not be 4/12 beacuse that’ll be 1/3

And Iast but now Ieast I know it wouldn’t be 5/16 because that cannot be simplified.

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

Answer:

sec t = 1/(cos t) = 1/(-3/4) = -4/3

Answer: I thihnk it's 1x10^-2

Step-by-step explanation: This equals 0.1, and 6^-2 is equal to 0.1....the rest of the answers are either too big or too small

Answer:

4

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

44 is closer to 40 than 50 because 44-40 = 4, 50-44=6 and 4<6

Answer: The histogram is skewered to the right (right-skewered)

Step-by-step explanation:

The peak veers to the left and the tail is towards the right.

The histogram given is right-skewed.

A histogram is a representation of the distribution of data with intervals.

We have,

Right-skewed and left-skewed are terms used to describe the shape of a data distribution.

A right-skewed (or positively skewed) distribution is one in which the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

A left-skewed (or negatively skewed) distribution is the opposite of a right-skewed distribution.

In this case, the tail on the left-hand side of the graph is longer or fatter than the tail on the right-hand side.

Now,

We see that the histogram given is right-skewed because the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

Thus,

The histogram given is right-skewed.

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Answer:

2/B

Step-by-step explanation:

The base is 9 and the height is 4.

Answer:

$730.08

Step-by-step explanation:

22% = 0.22

1 - 0.22 = 0.78

Value after 2 years

v = 1200(0.78)²

v = 730.08

$730.08

Answer:

Your answer would be 100! :)

Answer:

multiply the top number by 4 also and what ever answer you get by doing 24×4 place that number over 100 and that number will be your percentage

Answer:

here,

38+X=180 (being straight line)

or,X=180-38

therefore, X=142 ans,,,

Answer:

it's

-21

or 12

which one you mean

Answer:

15

Step-by-step explanation:15

Answer:

A) [tex]\sqrt{8x/3}[/tex]

Step-by-step explanation:

[tex]\sqrt{8x^{2} } /\sqrt{3x}[/tex]

[tex]\sqrt{8x^{2}/{3x}[/tex]

[tex]\sqrt{8x/3}[/tex]

Therefore, A is correct

Answer:

HL theorem

Step-by-step explanation:

since NP⊥OM, so, L H is a right angle.

and NM = OP as hypotenuse

HL theorem

NP is perpendicular to OM

NM =OP given

So the triangles are congruent

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Answer:

  0

Step-by-step explanation:

If a=b, you are asking for a whole number c such that ...

  c = √(a² +a²) = a√2

If 'a' is a whole number, the only whole numbers that satisfy this equation are ...

  c = 0 and a = 0.

  0 = 0×√2

The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.

__

√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.

_____

Additional comment

If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.

Answer:

P = 25 + (15)n

Total amount paid by David = $100

Step-by-step explanation:

Given:

Fixed cost of renting chain saw =  $25

Variable cost of renting chain saw =  $15 per hour

Time taken = 5 hour

Find;

Total amount paid by David

Computation:

Assume;

Total amount paid by David = P

Time taken = n

So,

P = 25 + (15)n

P = 25 + (15)(5)

P = 25 + 75

P = 100

Total amount paid by David = $100

Answer:

50.965.01

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The measure of an arc of a circle is the same as the measure of the central angle it subtends. That is, arc RS has the same measure as central angle RPS, which is marked as 100°.

Of course, the total of all central angles, hence all arcs, of a circle is 360°. A diameter of a circle cuts the circle in half, so each semicircle has a central angle measure and arc measure of 180°.

Any arc that is more than a semicircle is called a "major" arc. If it is less than a semicircle, it is a "minor" arc. Arcs RS and ST are minor arcs.

As always in geometry, the whole is the sum of the parts, so arcs RS and ST are supplementary. They total the measure of semicircle RST, which is 180°. Then ST = 180° -RS = 180° -100° = 80°.

__

Additional comment

Usually, an arc identified only by its end points is a minor arc. If the major arc is intended, then it will either be described as "major arc RS" or a point on the major arc will be given, as "arc RTS". The measure of arc RTS is 280°.

Answer:

A x=18

Step-by-step explanation: