On Tuesday, Karen finished all her chores in 3/4 of an hour. On Wednesday, she finished her chores in 5/12 of an hour. How much faster was Karen on Wednesday than Tuesday?

Answer:

angle DCE

Angle DEC

Angle ABF

Step-by-step explanation:

you had the wrong order

The measure of the unknown angle is 53 degrees.

The length of the unknown side of the blue triangle is 4.43 cm

Right angle triangle have one of its angles as 90 degrees.

The sum of angle in a triangle is 180 degrees.

Therefore, the measure of the unknown angle can be calculated as follows:

let

x = unknown angle

x = 180 - 90 - 37 = 53°

Therefore, let's find the unknow length of the blue triangle.

tan 53 = opposite / adjacent

tan 53 = 6.9 / a

a = 6.9 / 1.327

a = 5.1996985682

a = 5.2

The green triangle hypotenuse = 5.2 + (5.2 - 2.6) = 7.8 cm

Therefore,

sin 59 = opposite / 7.8

opposite = 7.8 × 0.8571673007

opposite = 6.68590494548

opposite side = 6.69 cm

The hypotenuse of the blue triangle = 6.69 - 2 = 4.69 cm

Therefore,

sin 71 = x / 4.69

x = 4.69 × 0.94551857559

x = 4.43448211956

x = 4.43 cm

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Answer:

48

Step-by-step explanation:

one pound equals 16 ounces so multiply each side by three and you get that 3 lb equals 48 ounces

Answer:

48 oz

Step-by-step explanation:

We know 1 lb = 16 oz. That means that to find how many oz are in 3 lbs, you have to multiply 16 by 3. That equals 48.

Answer:

I would say False

Answer:

1.3×10^1

Step-by-step explanation:

For this, you need to use scientific notation

First, let's round up the decimal points

135.99 = ~ 136

1.3 ×.10^1

Answer:

2

Step-by-step explanation:

the line is straight and is set on 2 so y<2

Answer:

Model 1

Step-by-step explanation:

Hope this helps. Good luck

Answer:

The Outfit costs $70.4.

Step-by-step explanation:

Add the selling price together

34 + 9 + 12 = 55

Multiply by the markup (Profit)

100% = 1

28% = 0.28

55 x 1.28 = 70.4

Answer:

  45%

Step-by-step explanation:

Your graphing calculator, statistics app, or spreadsheet can tell you that 45% of the normally-distributed data is above 8.6 when the mean is 8.1 and the standard deviation is 3.8.

Answer:

Step-by-step explanation:

39.8 - 32.2 = 7.6

Range is subtracting the highest and lowest numbers by each other .

Based on the calculations, the range for this data set is equal to 7.6.

In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.

Mathematically, range is calculated by using this formula;

Range = Highest number - Lowest number

From the given data set, we have:

Substituting the given parameters into the formula, we have;

Range = 39.8 - 32.2

Range = 7.6.

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Answer:

Step-by-step explanation:

Arithmetic sequaence:

[tex]\sf a_n = -3(4)^n - 1\\\\a_1=-3*4^1 -1\\\\ = -3*4 - 1\\\\ = -12 - 1\\\\a_1=-13[/tex]

[tex]a_2 = -3*4^2-1\\[/tex]

    = -3*16 -1

     = -48 - 1

    = -49

difference = second term - first term

                 = -49 -(-13)

                = -49 + 13

             d = -36

[tex]\boxed{S_n=\dfrac{n}{2}[2a + (n-1)d]}[/tex]

[tex]\sf S_5=\dfrac{5}{2}*[2*(-13} + 4*(-36)]\\\\ =\dfrac{5}{2}[-26-144]\\\\=\dfrac{5}{2}*(-270)[/tex]

= 5*(-135)

= -675

Answer:

From the ratio

The difference is 9 - 5 = 4

Hence Trisha has 4 units more than Nathan and this resulted to 16800

Therefore 1 unit will be

16800 / 4 = 4200

Nathan’s salary is 5 units

5 * 4200 = 21000

Answer:

Step-by-step explanation:

simple interest=prt

p=principle amount

r=rate

t=time

here p=$2500

r=5 %=0.05

t=2 years

simple interest=2500×2×0.05=$250

The simple interest on the loan of $2500 for 2 years at 5% is $250

The formula for calculating simple interest is expressed as;

I = PRT/100

Such that the parameters of the formula are;

Now, substitute the values, we get;

Simple interest = 2500 × 5 × 2/100

Multiply the values

Simple interest =25, 000/100

Simple interest =$250

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#SPJ2

Consider the fraction first ;

[tex]{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}[/tex]

Hence, Option B) is required answer

Answer:

D) Slope of Funcation B = - Slope of Function A

Step-by-step explanation:

The equation for the line is:

y=mx+b

Where m is the slope and b is the y-intercept

In this question, we are only interested in the slope.

For function A, we can see that the equation is f(x) = -2x + 1

Going back to the equation, we can see that -2 is the slope

Now for function B, we need to find the slope by looking at the graph.

To do this, you need to remember that the slope is y/x, or rise over run. (This is saying that every time the y happens, the x also happens. For example, if the slope is 1/2, every time the line goes up 1 unit, it goes to the right 2 units)

So for the function, we can see that when you move to the right 1 unit (run), you also move up 2 units (rise), so the slope would be

2

Comparing the slope of both the functions

Function A is -2

and

Function B is 2

So the answer is D

Answer:

d and a

Step-by-step explanation:

an acute is an angle less than 90 degrees. a 90 degree angle is a right angle (klm) the only 2 angles smaller than (klm) are (gfe) and (dba)

Answer:

  III

Step-by-step explanation:

The signs of both x and y are negative in the 3rd quadrant.

__

x-values are negative in the left half-plane.

y-values are negative in the bottom half-plane.

Both coordinates are negative in the lower-left quadrant, number III.

Answer:

nice handwriting

Step-by-step explanation:

Answer:

A. 108

sorry if im wrong but if u am I'm so sorry

Answer:

[tex] - \frac{1}{2} x - y + 3 = 0[/tex]

Step-by-step explanation:

as shown in drawing

Answer:

C

Step-by-step explanation:

The little square on the angle means that the entire angle is 90 degrees

The larger angle is made up of two angles of measure 'x - 18' and 'x'

Let's put that into an equation form:

     (x - 18) + (x) = 90

        2x - 18 = 90

           2x = 108

            x  = 54

So x = 54

Hope that helps!

Answer:

Pythagoras theorem

Step-by-step explanation:

dhebbd

Answer:

1/2 in/hr

Step-by-step explanation:

2 in / 4h   =   1/2 inch per hour

Answer:

-7a+11

Step-by-step explanation: