Need help plz and thank u

Answer:

Total percent: 3.7%

Step-by-step explanation:

(2000 x 0.01) + (4240 x 0.05) = $232

X/100 = 232/6240

= 23200/6240 = 3.7%

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

isosceles triangle:

ratio:

4 : 3

Step 02:

geometry:

triangles:

ratio (vertex angle: base angle):

4 : 3

vertex angle = 4x

base angle = 3x

the base angles of an isosceles triangle are equal:

(4x)° + (3x)° + (3x)° = 180°

4x + 3x + 3x = 180

10x = 180

x = 180 / 10

x = 18

vertex angle = 4x = 4(18) = 72°

base angles = 3x = 3(18) = 54°

The answer is:

vertex angle = 72°

base angles = 54°

For a company that charges $5.10 plus 5.747 cents per kilowatt-hour (kWh) for customers using up to 1300 kWh, and charges 5.788 cents per kilowatt-hour (kWh) for the extra kWh used after the first 1300 kWh, if more than 1300 kWh are used, the total charge for 1,300 kWh is $79.811.

The total charge is the product of the multiplication of the unit rate by the total kilowatt-hours used by the customer plus the fixed rate.

Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.

Multiplication involves the multiplicand, the multiplier, and the product.

Fixed charge = $5.10

Variable charge per kilowatt-hour = 5.747 cents ($0.05747)

Total usage  = 1,300 kWh

The total charge = $79.811 ($5.10 + $0.05747 x 1,300)

Thus, the total charge for 1,300 kWh for the nonextreme weather month is $79.811.

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Answer:

32/60

Step-by-step explanation:

because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)

numerator: 8*4=32

denominator: 15*4=60

final equivalent fraction: 32/60

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

the younger brother owes bill $17.25, and the older brother dose not owe him anything

Answer:

i got it right on the trst

Step-by-step explanation:

Answer:

The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.

In this case, the diameter of the circle is given as 24 inches.

Using the formula, we can substitute the values:

C = πd

C = 3.14 * 24

C ≈ 75.36 inches

Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.

Step-by-step explanation:

Answer:

0.33333333

0.9375

0.125

7/8

7/16

5/8

3/100

4/10 or 40/100

Step-by-step explanation:

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Noah earned $160 last month, and his income tax rate is 10%. To calculate how much he earns after tax, we need to subtract the tax amount from his earnings.

The tax amount is equal to 10% of his earnings, which is:

0.1

×

160

=

16

0.1×160=16

Therefore, Noah's earnings after tax is:

160

−

16

=

144

160−16=144

Noah earns $144 after tax.

Answer:

Step-by-step explanation:

1)  

The given angle is 57°   at least I think it is .  so we need to look at the triangle being formed inside the circle.   the legs from the center to the edge are both the radius. so they are the same lengths.   so that triangle is an isosceles.  and the two angle at the circles perimeter are going to be both the same, b/c that's a rule of an isosceles triangle.   so now we not both angles on the perimeter of the circle of that inner triangle are both 57°  :)  that's great, b/c now we can find the angle of the inner point of that triangle.   it's going to be  180 = 57 + 57 +  inner angle x  

180 - 57 -57  = inner angle x

66 = x    , so that inside angle on the isosceles is 66°  

that's great to know, that angle is also part of the bigger triangle that goes outside the circle and I'm pretty sure the angle that is at the top of the triangle , at least in the picture,  is a right angle or 90° sooo we now know two angle of the triangle and can figure our the  "?"  one.  :)

180 = 66 + 90 + ?

180-66-90 = ?

24 = ?

so that angle at the point with the "?" is 24 °  :)

2)

The given angle is 24°  :0   look above.. that last we we solved was also 24°

everything is the same in drawing 2, as in drawing 1.   We can simply use all the things we know about drawing 1..    The inside angle at the center of the circle will be 66 °  and the two angle out by the perimeter of the circle will be 57° just like in drawing 1.     They made that a little too easy  :D  Le'ts hope we get a few more like that  :)

3)

I'm just sure why the drew the circle in this drawing.  we don't need it to solve this triangle.  Maybe  you're not supposed to use this very common way to solve the triangle yet?   but maybe it's good to introduce it anyway?  since we are given the hypotenuse (long side) and the adjacent side (next to)  the angle we can just use SOH CAH TOA to find any angle or side of this triangle.    I'll put the useful remind of how trig functions ( sin, cos, ect.) fit on triangles and then we'll use them to find the parts we want. :)

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy the above down.  and put in in a handy place on your computer , for quick reference any time you have to solve a triangle.  it's really super helpful :)

okay now look at the triangle in question 3)  what do we know, and what do we want to find?   we know the Hyp and Adj and one angle and want to find the Opposite  (Opp) side from the known angle.  sooo we have a choice of SOH or TOA.. let's use SOH,  

SOH ⇒ Sin(Ф) = Opp / Hyp

Sin(53) = Opp/ 10

algebra skill engage :P

10* Sin(53) = Opp

7.9863551 = Opp  

so that side with the question mark is 8.0  long. ( rounded to nearest 10th)

4)

On this triangle we are given the Opp and the Adj sides and an angle and are asked to find the Hyp

which trig function would you like to use?

Let's use CAH this time.  We could also use SOH , but we just used that one. let's try out the "tools" of the trade :)

CAH ⇒ Cos(Ф) = Adj / Hyp

Cos(37) = 8/Hyp

use algebra skillz

Hyp = 8 / Cos(37)

use calculator to find  Cos(37) :/

Hyp = 10.01708

? = 10.0  ( rounded to nearest 10th )

5)

oh for this one we do need the circle, and I don't know why they want people to know this , nobody uses this math  :?  Anyway,  

there is a confusing formula for this type of problem

∠ = (bigger arc - smaller arc ) / 2

since we're given the 65° , we know that 2*65= 130 which is the angle of the bigger arc - smaller arc = 130 °

now we have to use our really keen algebra skillz to see that

if the total all the way around a circle is 360 and we have 130 of those left  so

eq. 1)  360 = big arc + small arc

then

360-smal arc = big arc

and

eq. 2)  130 = big arc - small arc

plug in for "big arc" what we know from above :P

130 = 360-small arc - small arc

130 = 360 - 2small arc

130 + 2 small arc = 360

2 small arc = 230

small arc = 115

:0  wow.. we solved it..  that was a lot of fancy algebra huh  :P

? = 115°  ( the small arc)

6)

same as 5

given 72°

72*2=144°

eq. 1)   360 = big arc + small arc

eq. 2 ) 144 = big arc - small arc

solve for big arc this time

360-bigl arc = small arc

now plug into eq. 2

144 = big arc - (360-big arc)

144 = big arc - 360 + big arc

144 = 2big arc - 360

144+ 360 = 2 big arc

504 =  2 big arc

252° = big arc

yay solved !! phew.. that was a lot of algebra.. :P

5 and 6 are tough, ask the teacher how many others got it  :)

Sophia will drive a distance of 300 miles.

To find out how far Sophia will drive, we need to calculate 3/5 of the total trip distance of 500 miles.

1: Calculate the distance driven by Sophia

To find the distance driven by Sophia, we need to multiply the total trip distance by the fraction representing the portion she will drive. Sophia will drive the first 3/5 of the trip.

Distance driven by Sophia = (3/5) * 500 miles

2: Simplify the fraction

To calculate the distance, we simplify the fraction 3/5.

Distance driven by Sophia = (3/5) * 500 miles

                       = (3 * 500) / 5 miles

                       = 1500 / 5 miles

                       = 300 miles

Therefore, Sophia will drive a distance of 300 miles.

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Answer:

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Attended the dinner speech.

Event B: Attended the breakfast forum.

70% attended the dinner speech

This means that \(P(A) = 0.7\)

40% attended both events.

This means that \(P(A \cap B) = 0.4\)

The probability that he also attended the breakfast forum is

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714\)

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Answer:

Hope this helps ;)

Step-by-step explanation:

If you stretch the square root function F(x)=√x vertically by four units, the new function can be represented by the equation:

G(x) = 4 * √x

This can be written as:

G(x) = 2 * √(2x)

Alternatively, you can write the equation as:

G(x) = √(4x)

Either way, the vertical stretch of the square root function by four units is given by the equation G(x) = 4 * √x or G(x) = 2 * √(2x) or G(x) = √(4x).

Answer:

Step-by-step explanation:

4/mx

Hello!

First, let's write the information that we know and then each event:

When we use the interception symbol (∩), it means that we want to know which numbers are part of both sets simultaneously.

Let's calculate it:

Answer:

The answer would be -9

Step-by-step explanation:

-(3)^2

-(9)

-9

Following order of operations (PEMDAS)

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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Answer:

(a)The x-intercepts are 3, -4 and 1.

(b)f(x)=-0.5

Step-by-step explanation:

Given the function:

\(f(x) = \dfrac{(x - 3)(x + 4)(x - 1)}{(x + 2)(x - 12)}\)

x-Intercepts

When y=f(x)=0

\(f(x) = \dfrac{(x - 3)(x + 4)(x - 1)}{(x + 2)(x - 12)}=0\\(x - 3)(x + 4)(x - 1)=0\\x - 3=0$ or $ x + 4=0 $ or $ x - 1=0\\x=3$ or $ -4$ or $ 1\)

The x-intercepts are 3, -4 and 1.

y-intercepts

When x=0

\(f(x) = \dfrac{(x - 3)(x + 4)(x - 1)}{(x + 2)(x - 12)}\\f(x) = \dfrac{(0 - 3)(0 + 4)(0 - 1)}{(0 + 2)(0 - 12)}\\= \dfrac{(- 3)( 4)( - 1)}{( 2)( - 12)}\\= \dfrac{12}{-24}\\\\=-0.5\)

The y-intercept is -0.5

Answer: x=8

Step-by-step explanation:

Answer:

The equivalent equation is found by distributing the 1/4 to get 4 + 3x = 28

The first step is subtract 4 to both sides.

The second step is divide both sides by 3.

The answer is x = 8

i did it wrong in edg, but it shows the correct answers at the end :)

Answer:

AB = 10.398

Step-by-step explanation:

By cosine rule, we have:

AB² = AC² + BC² - 2(AC)(BC)cos(ACB)

⇒ AB² = 7² + 10² - 2(7)(10)cos(73)

⇒ AB² = 49 + 100 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140(0.292)

⇒ AB² = 149 - 40.88

⇒ AB² = 108.12

⇒ AB = √(108.12)

⇒ AB = 10.398

Answer:

115% of 75

Step-by-step explanation:

Answer:

the sum is going by 2

Step-by-step explanation:

the sum is 2

The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Answer:

\((a)\ L = 18.84\) --- arc length

\((b)\ A = 113.04\) --- sector area

Step-by-step explanation:

Given

\(r = 12\)

\(\theta = 90\)

Solving (a): The arc length

This is calculated using:

\(L = \frac{\theta}{360} * 2\pi r\)

So, we have:

\(L = \frac{90}{360} * 2* 3.14 * 12\)

\(L = 0.25* 2* 3.14 * 12\)

\(L = 18.84\)

Solving (b): The sector area

This is calculated using:

\(A = \frac{\theta}{360} * \pi r^2\)

So, we have:

\(A = \frac{90}{360} * 3.14 * 12^2\)

\(A = 0.25 * 3.14 * 12^2\)

\(A = 113.04\)

Answer:

f(-1)= -3

Step-by-step explanation:

We all know f(x) = y

Since x= -1, y= -3 as per given in the graph, so

f(-1)=-3

9514 1404 393

Answer:

  0.11x +4.00

Step-by-step explanation:

When you multiply the number of messages (x) by the cost per message (0.11) and add the base cost of the plan, you get the monthly charge:

  monthly cost = 0.11x +4.00

Answer:

\(x∈( - ∞;8]\)

Step-by-step explanation:

\(x + 9 - 3 \leqslant 14\)

Collect like-terms:

\(x \leqslant 14 - 9 + 3\)

\(x \leqslant 8\)

\(x∈( - ∞;8]\)