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The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.

The dimensions of the room when Alyssa's den is 8 feet longer than it is wide are 15cm as 23cm.

An equation simply means the statement that shows the relationship between the variables given. It has an equal sign to denote this.

Let the width of the den be x.

The length of the den is x+8.

We can set up the equation x*(x+8)=425 to represent the area of the den.

We can solve this equation by factoring it as x² + 8x =425.

x² + 23x - 15x - 425

x(x + 23) - 15(x + 23)

(x - 15)(x + 23)

Either way, we find that the width of the den is 15 feet and the length is 23 feet.

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Answer:

Step-by-step explanation:

1.change minutes to hours,45 minutes is [tex]\frac{3}{4}[/tex] hours

2.then use 390÷    [tex]\frac{3}{4}[/tex]=390·[tex]\frac{4}{3}[/tex]=130·4=520 nautical per hour

Answer:

12

Step-by-step explanation:

The value of the legs of the triangle would be hypotenuse/√2.

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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Answer:

18.4 kg of clay

Step-by-step explanation:

92 kg for 5 students
=> 92 : 5 = 18,4 kg for 1 student

Answer: 18.4 kg

Step-by-step explanation:

DATA :

total mass of clay = 92 kg

total students = 5

how much clay does each student get?

SOLUTION:

assuming that each student got equal amount of clay, we are simply going to divide ⇒92 by 5.

⇒92 ÷ 5

⇒18.4 kg ANSWER

hope that helps...

Answer:

y=4/5x-3 - (-5, -7)

Step-by-step explanation:

So to solve this, lets just plug in each value for x, and see if the y value we get is equal to one of our answers.

So we have (-10, 5)

Well plug in -10 for 4/5x we get:

-40/5=-8

Next we take that value and solve:

y=-8-3

y=-11

The answer for this was 5, not -11.

Ill skip a few steps:

(10, -11):

Plug in 10 we get:

y=8-3 which is y=5. This is not right, for it needed to be -11.

Next we have (5, -1)

This gets us y=4-3 this is y=1 which is not -1. So thats not right.

Finally we have (-5, -7):

This gets us y=-4-3 this is y=-7. What was our y value? -7!

So the answer is (-5, -7)

I hope this helps! :)

Equivalent fractions are those that, despite their visual differences, reflect the same value. we consumed half of a cake, for instance, if you have one, divide it into two equal pieces, and then eat one of the pieces.

Any number of equal portions, or parts of a whole, are described by fractions. Fractions in standard English indicate the number of pieces of a specific size. 8, 3/4 of .Part of an entire is a fraction. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.

If the denominators differ, similar fractions with a common denominator must be used. This requires figuring out the LCM of the two denominators. To be used as a denominator in fractions with various denominators, rename the fractions with a similar denominator.

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Answer:

80 teaspoons

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Teaspoon capacity = 0.015 L

Total quantity = 1.2L

So, we can calculate the number of teaspoons in 1.2L oil by using following formula,

Number of teaspoons = Total quantity ÷ Teaspoon capacity

By putting the value of following, we get

Number of teaspoons = 1.2 ÷ 0.015

= 80 teaspoons

Hence, there are 80 teaspoons of oil in 1.2L.

Answer:

140 cubic cm

Step-by-step explanation:

Find the area of the triangular base: [tex]\frac{3 \times 7.8}{2}[/tex] = 11.7.

Multiply 11.7 square cm with 12 cm to get 140.4 cubic cm.

Answer:

y = 3x - 2

Step-by-step explanation:

See the attached worksheet.  Look for an equation of the form y=mx+b, where m is the slope and b is the y-intercept.  The slope of the line can be determined by taking two points on the line to calculate the Rise/Run.  The points selected for this example are (0,-2) and (2,4).  This makes the Rise/Run (6/2), or 3.  The y-intercept, b, is -2 as per point (0,-2).

The equation for this (non)-prependicular line is thus y = 3x - 2.

Answer:

Hello! answer: 85

Step-by-step explanation:

Formula for square area: base × height

Formula for triangle area: base × height ÷ 2

6 × 5 = 30 30 ÷ 2 = 15 since theres 4 triangles I just multiply by 4 get all the triangles area so...

15 × 4 = 60 now the square is just 5 × 5 so... 5 × 5 = 25 now we just add these up for the answer so... 60 + 25 = 85 therefore the surface area is 85 hope that helps!

Using the slope of the least-squares regression line, the interpretation will be: C) The slope is 0. 50, which means for each additional pound in weight, the child’s height will increase by 0. 5 inches.

A linear approach is linear regression, which is used to represent the relationship between a scalar answer and one or more explanatory factors in statistics. When there are many explanatory factors, multiple linear regression is employed; otherwise, simple linear regression is utilised. It is possible to predict the value of one variable using linear regression analysis and the value of another variable.

Predicting the dependent variable is what you want to do. The variable you are using to anticipate the value of the other variable is the one you are utilising as an independent variable. Lines of best fit are another name for regression lines. To demonstrate how several graph points might be connected, a line of best fit is used.

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

Explanation:

A full circle of radius 5 inches would have a perimeter or circumference of...

C = 2*pi*r

C = 2*3.14*5

C = 31.4

This value is approximate because pi = 3.14 is approximate.

The distance around a full circle with radius 5 inches is roughly 31.4 inches, but we only want a quarter of this. Therefore, the distance around the curved portion of the quarter circle is roughly C/4 = (31.4)/4 = 7.85 inches.

Choice A would be the answer if your teacher only cared about the curved portion. However, don't forget about the straight line portions that also make up the quarter circle. Choice A might have been put there as a trick answer.

We'll add on the two copies of the radius 5 inches to get a total perimeter of 5+5+7.85 = 10+7.85 = 17.85 = 17.9 inches, which points to choice C as the answer.

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

Side note:

If we used a more accurate version of pi, say the version stored in your calculator, then the perimeter is roughly

5+5+(2*pi*5)/4 = 17.8539816339744

Rounding to the nearest tenth leads to the same answer of 17.9 inches

Answer:

This is how you graph it

Step-by-step explanation:

As seen in the equations above, this equation can fit into the equation y=mx+b. M = slope, where is how we will be able to plot the points. Since the slope for both is two, we would go up 2 then right 1, from the y intercept. Which is the point we will be starting at. Plot two points directly on the y-axis at (0,3) and (0,1). Then go back to the slope and go up 2 and right 1. I hope I helped!

Answer:

i dont know

Step-by-step explanation:

Answer:

r = 4

Step-by-step explanation:

product means multiply , so

3(r + 1) = 15 ← is the equation

Divide both sides by 3

r + 1 = 5 ( subtract 1 from both sides )

r = 4

Answer:

4,760

Step-by-step explanation:

PEMDAS: (83 - 27) = 56

85 x 56 = 4,760

Answer:

A. 4,670

Step-by-step explanation:

Subtract 83 and 27

83-27= 56

Multiply 56 and 85

85(56)= 4,670

Which is A

Hope this helps!

The measure of the angle ∠6 = 112°

What are parallel lines?

Parallel lines are two or more lines that are always the same distance apart and never meet, no matter how far they are extended. They are coplanar lines that do not intersect or cross each other, and they have the same direction.

As given

a∥e, m∥n, and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m are transversal.

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Hence, the measure of the angle ∠6 = 112°

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The measure of the angle ∠6 = 112°

What are parallel lines?

Parallel lines are two or more lines that are always the same distance apart and never meet, no matter how far they are extended. They are coplanar lines that do not intersect or cross each other, and they have the same direction.

As given

a∥e, m∥n, and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called a transversal.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m are transversal.

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Hence, the measure of the angle ∠6 = 112°

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Answer:

$52.08

Step-by-step explanation:

There are 12 months in a year, so 3 years will have 36 months.

Find how much money she has to save in total:

6375 - 4500

= 1875

Divide this by 36 to find how much she has to save each month:

1875/36

= $52.08

So, she will have to save approximately $52.08 each month

Answer:

I think its A.

Step-by-step explanation:

Answer: Indont know but I think it is the last one

Step-by-step explanation:

Sorry if I am wrkng

Answer: 57 over 2

57

2

=28 and 1 over 228

1

2

=28.5

Result57 over 2 equals 28 and 1 over 2 equals 28.5

Step by step

Step 1 of 4: Multiply.

Multiply

( Highlighted:2 Highlighted:× Highlighted:7.25 + 24 ) − 10 = ( Highlighted:1450 over 100

1450

100

+ 24 ) − 10

Step 1 of 4: Multiply, sub-step a: Multiply.

Multiply

725 over 100

725

100

× 2 = ( 725 × 2 ) over 100

725 × 2

100

= 1450 over 100

1450

100

Step 1 of 4: Multiply.Hide

Step 2 of 4: Add.

Add

( Highlighted:1450 over 100

1450

100

Highlighted:+ Highlighted:24 ) − 10 = ( Highlighted:3850 over 100

3850

100

) − 10

Step 2 of 4: Add, sub-step a: Convert integer to fraction.

Convert integer to fraction

24 = 24 over 1

24

1

Step 2 of 4: Add, sub-step b: Find common denominator.

Find common denominator

1450 over 100

1450

100

+ 24 over 1

24

1

= ( 1450 × 1 ) over ( 100 × 1 )

1450 × 1

100 × 1

+ ( 24 × 100 ) over ( 1 × 100 )

24 × 100

1 × 100

= 1450 over 100

1450

100

+ 2400 over 100

2400

100

100 is the least common multiple of denominators 100 and 1. Use it to convert to equivalent fractions with this common denominator.

Step 2 of 4: Add, sub-step c: Add.

Add

1450 over 100

1450

100

+ 2400 over 100

2400

100

= ( 1450 + 2400 ) over 100

1450 + 2400

100

= 3850 over 100

3850

100

Step 2 of 4: Add.Hide

Step 3 of 4: Subtract.

Subtract

3850 over 100

3850

100

− 10 = 2850 over 100

2850

100

Step 3 of 4: Subtract, sub-step a: Convert integer to fraction.

Convert integer to fraction

10 = 10 over 1

10

1

Step 3 of 4: Subtract, sub-step b: Find common denominator.

Find common denominator

3850 over 100

3850

100

− 10 over 1

10

1

= ( 3850 × 1 ) over ( 100 × 1 )

3850 × 1

100 × 1

− ( 10 × 100 ) over ( 1 × 100 )

10 × 100

1 × 100

= 3850 over 100

3850

100

− 1000 over 100

1000

100

100 is the least common multiple of denominators 100 and 1. Use it to convert to equivalent fractions with this common denominator.

Step 3 of 4: Subtract, sub-step c: Subtract.

Subtract

3850 over 100

3850

100

− 1000 over 100

1000

100

= ( 3850 − 1000 ) over 100

3850 − 1000

100

= 2850 over 100

2850

100

Step 3 of 4: Subtract.Hide

Step 4 of 4: Simplify.

Simplify

2850 over 100

2850

100

= 57 over 2

57

2

= 28 and 1 over 228

1

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A half of a cup is greater than 1/3 of a cup. This is because if you convert the fractions to the nearest common denominator (6) you can see that 1/2 = 3/6 and 1/3 = 2/6, so 1/2 of a cup is greater.

I hoped this helped!!

The two angles measure 90 degrees are called as complementary angles.

What are  complementary angles?

In geometry, complementary angles are defined as two angles whose sum is 90 degrees.

The two angles' complement and supplement are determined by the sum of their measurements. The two angles are said to be complimentary if their combined measurement equals that of a straight angle.

In other words, a right angle results from the combination of two complimentary angles (90 degrees). Angles 1 and 2 are said to be complementary if their sum of angles equals 90 degrees (i.e., 1 + 2 = 90°), and as a result, they are referred to as each other's partners.

two angles that add up to 90 degrees are known as complementary angles. For example, 60° and 30°.

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Only when each iteration is sufficiently time-consuming in terms of CPU usage does parallel programming become more effective.

The term "parallel processing" is used to deliver simultaneous data-processing activities, which is utilized to increase the computing performance of computer systems. Additionally, a parallel processing system has the ability to process input concurrently for quicker execution times.

As an illustration, when an instruction is being carried out in an ALU, the following instruction may be read from memory. The system may be equipped with two or more ALUs and be able to carry out multiple instructions at once.

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Answer: x = 12 * tan24

Step-by-step explanation:

We're going to use tan because we know one of the angles which is 24°. We also know the leg opposite of that angle, and the leg adjacent to that angle. Using that information, the best option would be tan.

Tan = opposite / adjacent, so substitute everything into that equation

tan24° = [tex]\frac{x}{12}[/tex]

12 × tan24° = x   (move the 12 from the right side to the left side by multiplying)

198.5 is the answer

50X4-(3÷2)=198.5

Answer: 198.5

Step-by-step explanation:

= 50x4-(3 divided by 2)

= 50x4-(3/2)

= (50 x 4) - ( 3/2 )

= (200) - (3/2)

= 200 - 1.5

= 198.5

Answer:

А

The graph would move 5 units down.

Step-by-step explanation:

[tex]24x+15=25x+45[/tex]

Subtract 25x from both sides:

[tex]24x+15-25x=25x+45-25x[/tex]

[tex]-x+15=45[/tex]

Subtract 15 from both sides:

[tex]-x+15-15=45-15[/tex]

[tex]-x=30[/tex]

Divide both sides by -1(to remove negative from variable):

[tex]\dfrac{-x}{-1} =\dfrac{30}{-1}[/tex]

[tex]\fbox{x = -30}[/tex]

Answer:

[tex] \sf \: x = - 30[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ 24x + 15 = 25x + 45

Then the value of x will be,

→ 24x + 15 = 25x + 45

→ 24x - 25x = 45 - 15

→ -x = 30

→ [ x = -30 ]

Hence, the value of x is -30.