12) The rectangle is made up of 12 congruent (same size) squares. Find the perimeter of the rectangle if the area of the rectangle is equal to 432 cm^2.

Answer:

Sorry for the bad handwriting :)

Step-by-step explanation:

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Answer:

2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2

B is the correct answer.

Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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Answer:

The issue needs you to calculate Claire's airplane's speed in miles per hour.

Claire's airplane travels at a speed of 552 miles per hour.

Given:

414 miles total distance traveled

Time allotted = 3/4 hour

Total distance traveled / Total time = Speed

= 414 miles per hour

414 4/3 = 414

= (414 4 / 3)

1656 / 3 =

equals 552 miles per hour

As a result, Claire's airplane's speed in miles per hour is 552 miles per hour.

Please give brainliest

Have a nice day :D

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Answer:

$75.58

The amount spent of $75.58 is most likely an outlier

Step-by-step explanation:

An outliers are unusual values in a dataset, they are data values that are extremely higher or extremely lower when compared to the other values in a data (data points that are far from other data points)

For the case above, give a dataset;

$32.92 $14.14 $30.80 $28.34 $75.58 $36.33 $33.51 $22.94

$75.58 is extremely far from other value. So $75.58 is an outlier in the given dataset.

Answer:

$660.

Step-by-step explanation:

So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:

x ⋅ (1-0.9) = y

Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:

x ⋅ (1-0.9) = $66

Now, to get the original value of the product (x), we solve the equation for x:

x ⋅ (1-0.9) = $66

x= $66 / (1-0.9)

x= $66 / (0.1)

x= $660

• Why did we multiply by 1-0.9?

This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.

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

A different example would be the following:

What was the original price of a product bought for $48 if it has a 60% discount?

x is original price.

Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:

x ⋅ 40%= $48

x= $48 / 40%

x= $48 / 0.4

x= 120

$120 was the original price.

The total weight of the contents is 141.33 pounds.

What is a rectangular prism?

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

Here, we have

Given: A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 5 ft by 14.5 ft by 6.5 ft. The container is entirely full and, on average, its contents weigh 0.3 pounds per cubic foot.

The volume of the container is calculated as:

5 ft× 14.5 ft× 6.5 ft= 471.125 ft³

Then, the total weight of the contents is calculated as:

471.125 ft³×  0.3 pounds per cubic foot= 141.3375 pounds≅ 141.33 pounds

Hence, the total weight of the contents is 141.33 pounds.

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Answer:

1. 740 students

2. 4 years

3. 185 students per year

4. 357 students

5. 185t+357

6. 3132 students

Work:

1. 1837 - 1097 = 740

2. 2008 - 2004 = 4

3. (1837 - 1097) / (2008 - 2004) = 185

4. 185(0) + 357 = 357

5. 185t + 357

6. 185(15) + 357 = 3132

Answer:

The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Step-by-step explanation:

If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:

70 degrees and its corresponding angle (also 70 degrees)

x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)

Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:

x = 70 degrees

y = 180 - x = 180 - 70 = 110 degrees

To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:

z + 70 + 70 + 110 = 360

z + 250 = 360

z = 110 degrees

Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Answer:

Column 1(X)      Column 2(mean - X)

  125                   -13

  137                     -1

  138                     0

  145                     7

  145                     7

Mean = 138

Mean Absolute Deviation : 5.6

Answer:

for all the lazy readers on top the answer is.. B. 5.6:)

Step-by-step explanation:

Answer:

170°

Step-by-step explanation:

180 - 10 = 170

Answer

Wow she can air walk

Step-by-step explanation:

Answer:

It took them 3 weeks

Step-by-step explanation:

I'm smart

Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation:

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Part a: The shaded area of the figure's polynomial expression: 16x + 30.

B) The larger rectangle has a surface area of 96 Sq in.

D) The smaller rectangle has a surface area of 18 Sq in.

By combining numbers and variables with the help of arithmetic operations like addition, subtraction, multiplied, division, and exponentiation, polynomials are algebraic expressions.

A polynomial can be made by adding or removing terms. Applications ranging from engineering and sciences to business can benefit greatly from polynomials

For question:

Dimensions are-

Complete region:

Non shaded rectangle:

Part A: The shaded area of the figure's polynomial expression is as follows:

Area = Length * width(complete)   -  Length * width(smaller)

Area = (2x + 6)(x + 5) - 2x(x)

Area = 2x² + 16x + 30 - 2x²

Area = 16x + 30

Find x-

Given shaded area = 78 sq. in

78 = 16x + 30

16x = 48

x = 3

B) The larger rectangle has a surface area of ___Sq in.

Area of larger rectangle = (2x + 6)(x + 5)

 = (2*3 + 6)(3 + 5)

= 12*8

= 96 Sq in.

D) The smaller rectangle has a surface area of __Sq in.

Area of smaller rectangle = 2x (x)

= 2*3*3

= 18 Sq in

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The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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Answer:

130

Step-by-step explanation:

A straight like measures 180°

25+25=50

180-50=130

plz mark brainliest :)

Answer:

\(130^{\circ}\)

Step-by-step explanation:

A straight line can denote half a circle, each side having \(180^{\circ}\). Therefore, the sum of these three angles should be \(180^{\circ}\). Since the first two angles both measure \(25^{\circ}\), we can set up the following equation and solve:

\(25+25+m\angle 3=180,\\m\angle 3= \fbox{$130^{\circ}$}\).

Answer:o

Step-by-step explanation:

EXPLANATION

Since we have the expression -7w^2 +2w

Plugging in w=-4 into the expression:

Computing the powers:

Multiplying numbers:

The solution is 120

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Step-by-step explanation:

put the value of x in equation and you get the answer

then put value of a on 3a-3

Answer:

Make the -4 exponent in the denominator positive.

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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Answer:

I think 5.4

Step-by-step explanation:

Take it and divide by the number of sides

The Perimeter of rectangle is 27.4 m

The area of rectangle is product of its length to tis width.

So, Area of rectangle = length  x width

Given:

Area of the flower bed = 20.4 square meters.

length = 12 m

As a rectangle, its area be

A = l x w

20.4 = 12 w

w= 20.4/ 12

w= 1.7

Now, Perimeter of rectangle

= 2( l + w)

= 2( 12+ 1.7)

= 27.4 m

Hence, the Perimeter of rectangle is 27.4 m

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Answer:

326.56 sq. units

Step-by-step explanation:

Calculating the slant height

Formula

Subbing in the values

Answer:

Step-by-step explanation:

to go from (4, 3/4 ) to (6, 0) you need

a line with slope m= (y2-y1)/(x2-x1) = \(\frac{3}{4}\) -0 / 4-6 = \(\frac{3}{4} /\frac{-2}{1} =\frac{3}{4} *\frac{-1}{2} =\frac{-3}{8}\)

use the quation of a line point-slope

(y-y1)=m(x-x1)

substitute m= -3/8 and (x1,y1) with (6,0)

\(y=\frac{-3}{8} (x-6)\)

Now does point (10,4) where is the aim is verified by this equation?

substitute x=10, y=4 in the equation to check

4= -3(10-6)/8

4= -3*4/8

4=-3/2 this is never true so you do NOT make the shot

a.) The equation for the path of the ball is:\(\(y = -\frac{3}{8}x + \frac{9}{4}\).\)

b.) The equation is not true because 4 is not equal to -3/2. Therefore, the ball does not make it into the pocket. The bank shot is not successful.The reason the shot fails is that the path of the ball (as represented by the linear equation) does not intersect the pocket point (10, 4), so the ball does not reach the desired target.

a.) To find the equation for the path of the ball, we can use the concept of a linear equation, which represents a straight line on the coordinate plane. The general form of a linear equation is:

\(\(y = mx + b\)\)

where:

- y is the y-coordinate of a point on the line.

- x is the x-coordinate of the same point.

- m is the slope of the line (change in y divided by change in x).

- b is the y-intercept, which is the point where the line intersects the y-axis (x = 0).

a.) Equation for the path of the ball:

We can find the slope m of the line passing through (4, 3/4) and (6, 0) as follows:

\(\(m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \\= \frac{{0 - \frac{3}{4}}}{{6 - 4}} \\= \frac{{-\frac{3}{4}}}{{2}} \\= -\frac{3}{8}\)\)

Now, let's find the y-intercept b by substituting the values of (x, y) from one of the given points (let's use (4, 3/4)) and the calculated slope m :

\(\(y = mx + b\)\\\(\frac{3}{4} = -\frac{3}{8} \times 4 + b\)\\\(\frac{3}{4} = -\frac{3}{2} + b\)\)

Now, solve for

\(\(b\): \(b = \frac{3}{4} + \frac{3}{2}\\ = \frac{3}{4} + \frac{6}{4} \\= \frac{9}{4}\).\)

b.) To determine if the ball makes it into the pocket at (10, 4), we need to check if the y-coordinate (4) of the pocket point lies on the path of the ball. Substitute \(\(x = 10\) and \(y = 4\)\) into the equation for the path of the ball:

\(\(4 = -\frac{3}{8} \times 10 + \frac{9}{4}\)\\\(4 = -\frac{30}{8} + \frac{9}{4}\)\)

Now, let's find a common denominator and simplify:

\(\(4 = -\frac{30}{8} + \frac{18}{8}\)\\\(4 = -\frac{12}{8}\).\)

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Explanation:

x is the number of years since 1988

x = 0 represents the year 1988

x = 1 is the year 1988+1 = 1989

x = 2 is the year 1988+2 = 1990

etc

x = 32 is the year 1988+32 = 2020