Rewrite 3* = 27 as a logarithmic equation.

Work Shown:

3 1/2 inches = 3.5 inches

total width = 28*3.5 = 98 inches

The required total width of 28 2 - by -4s laid side by side is 98 inches.

Given,
The width of a 2-by-4 piece of wood is actually 3 1/2 inches. to determine the total width of 28 2-by-4s laid side by side.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The width of a 2-by-4 piece of wood is actually 3 1/2 inches.
Now, the width of 28 2-by-4 woods laid side by side,
= 28 * 3 1 / 2
= 28 * 7 / 2
= 98

Thus, the required total width of 28 2 - by -4s laid side by side is 98 inches.

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Answer:

65

Step-by-step explanation:

Angle FGH = x

Angle FGJ = 25

Angle JGH = 40

Angle FGH = Angle FGJ + Angle JGH

                x = 25 + 40

                x = 65

The value of x in the diagram is 65.

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the diagram,

∠JGH = 40

∠FGJ = 25

Now,

∠JGH + ∠FGJ = x

So,

40 + 25 = x

Solve for x.

x = 40 + 25

x = 65

Thus,

The value of x in the diagram is 65.

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A. 234 cm

multiply the given length value ( 234 ) by 10.

[tex]234 \times 10[/tex]

[tex] = 2340 \: mm[/tex]

B. 15m

multiply the given length value ( 15 ) by 1000.

[tex]15 \times 1000[/tex]

[tex] = 15000 \: mm[/tex]

C. 25km

multiply the length value ( 25 ) by 1000000.

[tex]25 \times 1000000[/tex]

[tex] = 25000000 \: mm[/tex]

a)

234 × 10

= 2340 millimeters

b)

15 × 1000

= 15000 millimeters

c)

25 × 1000000

= 25000000 millimeters

Answer:

Step-by-step explanation:

(-3*4)^2 = (-12)^2 = 144

Answer:

Step-by-step explanation:

45 cm times 20 cm you find by by mutiply and divide

Answer:

The answer is -2/3

Step-by-step explanation:

Multiply by the reciprocal:

7/3 / 1/4 x 2

Simplify expression:

7/3 x 4/7 -2

Calculate:

1/3 x 4 -2

4/3 - 2

= -2/3

Answer:

1/2

Step-by-step explanation:

1/3 + 1/6

LCM of 3 and 6 is 6.

therefore, multiple the fraction that doesn't have 6 as denominator with a fraction that makes the denominator equal to the LCM.

1/3 × 2/2 = 2/6

(we have used 2/2 because 3×2= 6)

so,

2/6+1/6 = 2+1/6

(2 + 1 whole divided by 6)

therefore we get,

3/6

on simplification,

3/6 = 1/2 = 0.5

hope it helps!!

PLEASE MARK BRAINLIEST..

Answer:

1/3 + 1/6 = 2/6 + 1/6 = 1/2 (simplified from 3/6)

Step-by-step explanation:

since 1/3 = 2/6 (to get the same denominator)

2/6 + 1/6 = 3/6 (or 1/2 simplified, when divided by 3/3)

so 2/6 + 1/6 = 3/6

2 is the first blank

1/2 is your answer. (second blank)

hope this helps:)

Answer:

y intercept

Step-by-step explanation:

Answer:

  122.5 lbs

Step-by-step explanation:

The relation between force, wind speed, and area can be written ...

  f = ks²a

for some wind speed s and area a.

__

The constant of proportionality, k, can be found from the given data.

  64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph

  k = 64.8/(324×500) = 0.0004

__

Using the equation with the second set of data, we have ...

  f = 0.0004(35²)(250) = 122.5 . . . . pounds

The force on the 250 square foot sail would be 122.5 pounds.

Answer:

Surface Area = 130 sq ft

Step-by-step explanation:

If you don't have a picture, draw a picture so you can see what's up. See image. Surface area is the area of all the faces of a 3d shape (a solid) all added up. This solid is a box. It has six faces. Each face is a rectangle. The top and bottom are the same. The front and back are the same. The left and right sides are the same. See image.

Area of a rectangle is:

A = l × w

Area of the top:

5 × 10 = 50

Area of the bottom also 50.

Area of the left side:

1 × 5 = 5

Area of the right side is also 5.

Area of the front:

1 × 10 =10

Area of the back is also 10.

ADD up all 6 areas:

50+50+5+5+10+10

Surface area = 130

Area has square units.

SA = 130 square ft

If the measure of the arc of the circle is 10 cm. Then the measure of the length of the radius will be 6.51 cm.

Consider an arc of a circle.

Suppose it subtends θ angle on the rest of the part of the circumference (at any point). Then it subtends a 2θ angle on the center of that circle.

we know the formula

Are = θ/360 x 2πr

The center of the circle below is at P. If the central angle ∠APB measures 88° and the length of arc AB = 10 cm.

Then we have

    10 = 88 / 360 x 2πr

40.91 = 2πr

       r = 6.51 cm

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The apparent solution set of the system of equations graphed on the grid is {(-1,-4), (2,2)}

The point of intersection of the curves or lines on a graph is the solution of the system of equations

From the complete question, the lines intersect at approximately

(-1,-4) and (2,2)

Hence, the apparent solution set on the grid is {(-1,-4), (2,2)}

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Answer:

D.

{(-1,-4), (2,2)}

Step-by-step explanation:

This should be the answer for Plato/Edmentum users. (Note: not all answers are in the same position. It might be d for me but the answer might be put under any other letter)

Answer:

1,800 more

Step-by-step explanation:

12 × 3 = 36 months

$625 × 36 = $22,500

12 × 5 = 60 months

$405 × 60 = $24,300

$24,300 - $22,500 = $1,800

the interest is paid per month, so we first need to convert the years to months. after that we calculate the total amount of money paid over the specified years. and then we subtract the one from the other to get the difference.

Answer:

23

Step-by-step explanation:

let the number = X

subtracting 13 from X = X -13

multiplying the difference by -4= (X -13)×-4

the result is -40 means (X-13)×-4=-40

(X- 13)×-4 = -40

-4 X +52 = -40

collect like term

-4 X = -40-52

- 4X = -92

dividing bothsides by -4

-4 X /-4 = -92/-4

X = 23

Answer:

Step-by-step explanation:

7. Hours                    Money earned

       4                             34

        8                             68

        10                            85

         14                            119

8. Seconds                     yards

          1                              9

          3                             27

           6                             54

            10                            90

9.    Minutes                          Cost

             5                              $1.50

            12                              $3.60

            24                              $7.20

             30                              $9.00

Answer:

c) 2

Step-by-step explanation:

By definition The mode is the most repeated number in the data-set.

Answer:  Angle Y is 90 degrees, angle X is 35.  

Answer:x=35 and y=35

Step-by-step explanation:

Angle on straight line =180

so 180/2=90

90-55=35

and x and y opposite angle so are eqaul

Step-by-step explanation:

[tex]2p + 2p + 2p + 60 = 360 \\ 6p = 360 - 60 \\ 6p = 300 \\ p = \frac{300}{6} \\ p = 50[/tex]

Answer:

y = 0.

Step-by-step explanation:

The line y = 4 is a horizontal line, parallel to the x-axis.

The point (4,0) is on the axis so the rquired equation is:

y = 0.

Answer:

[tex] \sqrt{32 \div 2 = } 82 \\ [/tex]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, in our case we know this is 10 :

(x+3)(x-1)/2 = 10

(x+3)(x-1) = 20

x² - x + 3x - 3 = 20

x² + 2x - 23 = 0

that is exactly the provided equation. so, yes, x satisfies it.

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -23

x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =

= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =

= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =

= -1 ± 2×sqrt(6)

x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4

or using sqrt(6) ≈ 2.45

= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4

x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6

or using sqrt(6) ≈ 2.45

= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6

x2 would give us negative lengths for the triangle, which does not make sense.

so, x = 4 is our solution.

and that makes the height x-1 = 4-1 = 3 units.

An example of how to sketch the Ferris Wheel diagram is given in the image attached.

To solve for the angular speed, you can use the formula of"

Given that the diameter is 80 feet, so we know the radius will be 40 feet.

The Ferris wheel bottom is 20 feet high, so we add the radius we get that the middle of the Ferris wheel is 60 feet high.

Finally, the Ferris wheel completes 1 ½ rotation (2π radians) in 1 minutes. So we say that the Ferris wheel is said to spins at π rad/min.

Angular velocity ( 1 ½ rev/1min)( 1min/60 sec)

C = 2π(60)

C ≈ 377.04 feet

540 revolution (1 ½ rotations) is 60 seconds, the speed is then

s = d/t

s = 377.06 ft / 60 sec

s = 6.28 ft/sec

To plot the graph, the  final equation will be h(t) = 40sin(πt + π/2) + 60.

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If a student is selected randomly, the probability that the student is a junior given that the student is male is 14%.

Probability determines the odds that an event would happen. The odds of the event happening lie between 0 and 1.  

p (Junior | Males) = number of males that are junior / total number of males

2 / (4 + 6 + 2 + 2 ) = 2/14 x 100 = 14%

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Answer:

1ft 7.7in/1.64 ft

Step-by-step explanation:

50/2.54=19.69in

12in=1ft

so 1ft 7.7in

19.69/12=1.64

The information do you need to prove the triangles are congruent by SSS Will be YD ≅ OD.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

If two figures have three sides similar then they will be similar by side by side property which is written as SSS.

Now in the given figure, the side YD is similar and equal to the side OD so option C will be the correct answer.

Hence the information do you need to prove the triangles are congruent by SSS Will be YD ≅ OD.

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Answer:

a + b = 27

=> a = 27 - b

ab = 50

So, (27 - b) x b = 50

27b - b^2 = 50

b^2 - 27b + 50 = 0

Solving, b = 25, 2

Hence,

Case 1: b = 25, a = 2

Case 2, b = 2, a = 25

Answer:

2, 25

Step-by-step explanation:

Let the numbers be x and y :

Rearrange the first equation so it is equal to one variable :

Substitute the value in the second equation :

Answer:

FIND IT YOURSELF

Step-by-step explanation:

YOU ARE GIVEN QUESTIONS TO ANSWER FOR YOU, NOW DO IT YOURSELF.

Answers:

P(A) = 7/12

P(B) = 1/2

=====================================================

Explanation:

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--------------------

Now to calculate P(B)

If a number is divisible by 2, then the number is a multiple of 2.

In other words, the number is even.

Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.

Here's a further breakdown

Side note: We have nice symmetry going on.

There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.

P(B) = 18/36 = (1*18)/(2*18) = 1/2