Write'15 cubed' as a power.​

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:

Step-by-step explanation:

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

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:

y intercept

Step-by-step explanation:

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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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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The system of three equations and three unknowns to write the equation are: 5t²+80t+6990.

Given:

Elevation              Travel time

6990 feet                    0 hours

8290 feet                    10 hours

10875 feet                   21 hours

Using this formula

y(t)=at²+bt+c

Where:

At:

t=0; y=6990

6990=a(0)²+b(0)+c

c=6990 Equation 1

At:

t=10; y=8290

8290=a(10)²+b(10)+6990

1300=100a+10b Equation 2

At:
t=21; y=10,875

10875=a(21)²+b(21)+6990

3885=441a+21b Equation 3

Using equation 2 and 3 to solve for a and bc

1300=100a+10b

1300-10b/100=a

13-0.1b=a

Plug into equation 3

3885=441(13-0.1b)+21b

3885=5733-14.1b+21b

b=80

a=13-0.1(80)

a=13-8

a=5

Hence:

Write the Equation by plugging a,b and c

y(t)=5t²+80t+6990

Therefore the system of three equations and three unknowns to write the equation are: 5t²+80t+6990.

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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

The volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth is 341416.9 cubic meters

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume, π is a constant with a value of approximately 3.14, and r is the radius of the sphere.

To find the volume of a sphere with a radius of 39.6 m, we can substitute this value into the formula and simplify:

V = (4/3)πr³

V = (4/3)π(39.6)³

V ≈ 341416.8 cubic meters

Since the question asks us to round to the nearest tenth of a cubic meter, we look at the digit in the hundredth place, which is 6 in this case. Since 6 is greater than or equal to 5, we round up the digit in the tenths place, which is 8. Therefore, the volume of the sphere rounded to the nearest tenth of a cubic meter is:

V ≈ 341416.8 cubic meters ≈ 341416.9 cubic meters

In summary, to find the volume of a sphere, we use the formula V = (4/3)πr³, where V is the volume, π is a constant, and r is the radius. We can then round the answer to the nearest tenth of a cubic meter by looking at the digit in the hundredth place and rounding up if the digit in the tenths place is 5 or greater.

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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:

A)6

Step-by-step explanation:

First we can create a second traingle  show in the picture so we figure out the base is 8 and hypotenuse is 10

so we use pythagerous

10^2-8^2=36

root of 36=6

Therefore x is 6 as they are the same height do to us knowing its a rectangle as it has 90 degree angles

Answer:

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

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

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.

Answer:

Step-by-step explanation:

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

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

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:

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

          Hello, my name is Snacks, and I will help you out! :-D

For the answer, refer to the "Answer" portion of this answer. For the step-by-step procedure, refer to the "Procedure" portion of this answer.

Thank you.

So, let's start.

[tex]\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square[/tex]

"Answer" portion ↓

[tex]\frak{14x+8}[/tex]

"Procedure" portion ↓

Let's take a look at our problem, it says we need to find the perimeter of the rectangle; luckily, we have all the info we need!

This is the perimeter formula:

⇒[tex]\frak{Perimeter_{rectangle}=2(a+b)}[/tex]

So basically, it says we need to take the rectangle's length (a), add it's width (b), and multiply their sum times two, and this is equal to the perimeter.

The problem tells us that:

⇒ Length 5x+5

⇒ Width 2x-1

As the equation says, we should add the length and the width:

⇒ 5x+5+2x-1

⇒5x+2x+5-1

⇒7x+4

· Hooray! We found the perimeter!

× Actually, we didn't find the perimeter, yet! Remember, we also need to multiply by 2.

Multiplication results in

⇒ 2(7x+4)

expanding the expression

⇒14x+8

· Now we did find the perimeter, and what's more, we've written it in simplest form.

[tex]\mathbb{LUSCIOUS\:SNACKS} -\:Greetings\:![/tex]

--

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:

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

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:

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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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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Step-by-step explanation:

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

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

Answer:

FIND IT YOURSELF

Step-by-step explanation:

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

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.