The diagram shown is two intersecting lines. The measure of 5 is 47°.

The figure can be divided into a triangle and a rectangle.

The area of a triangle is 10 sq inches.

The area of a rectangle is 80 sq inches.

The total area of the figure is 90 sq inches.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

The figure can be divided into a triangle and a rectangle.

The height of the triangle is 2 inches and the base is 10 inches.

We know the area of a triangle is (1/2)×base×heiht.

∴ Area = (1/2)×10×2 sq inches.

Area = 10 sq inches.

We know the area of a rectangle is length×width.

∴ Area = (10×8) sq inches.

Area = 80 sq inches.

The total area of the figure is (10 + 80) sq inches = 90 sq inches.

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Answer:

Answer will be: $123.25

Answer: 276 grams.

Step-by-step explanation:

Answer:

The area of the base is 24 [tex]cm^{2}[/tex]

The volume is 168 [tex]cm^{3}[/tex]

Step-by-step explanation:

The area of the base is found by solving [tex]0.5*6*8[/tex], because that is the formula for the area of a triangle.

The volume is found by multiplying the area of the base by the height: [tex]24*7=168[/tex]

The new account balance by deposit of $378.42 will be $3014.83.

When anything is increased in the already existing quantity then it is termed the addition.

Now it is given in the question that

Selma deposited an amount of = $378.42

Account balance =$2636.41

Now the new balance will be = New amount + Previous balance

[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]

Thus new account balance by deposit of $378.42 will be $3014.83.

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Answer:

Step-by-step explanation:

c

Divide area by width:

46/10 = 4.6 meters

Answer: 4.6 meters

Answer:

The rectangular garage is 13m long.

Step-by-step explanation:

[tex]\sf\large{\star Given:-}[/tex]

[tex]\sf\large{\star To\: find:-}[/tex]

[tex]\sf\large{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]As we know that,

Perimeter of rectangle = [tex]\sf\blue{2(length+width)}[/tex]

So, by putting the value of perimeter and width in this formula we get,

[tex]\rightarrow[/tex] [tex]\sf{2(l+10)\:=\: 46}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l+20\:=\: 46}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 46-20}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 26}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{l \:=\: \frac{26}{2}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{l\:=\: 13m.}[/tex]

Therefore, length of the rectangular garage = [tex]\sf\purple{=\: 13m.}[/tex]

_______________________________

Hope it helps you:)

Answer:

x = 5

Step-by-step explanation:

3x+5=20

Subtract 5 from both sides.

3x=20−5

Subtract 5 from 20 to get 15.

3x=15

Divide both sides by 3.

x= 15/3

​Divide 15 by 3 to get 5.

x=5

Answer:

90 balls

Step-by-step explanation:

simply add them

Answer: 90 balls

Step-by-step explanation:

30 + 10 = 40

40 + 50 = 90.

The percentage of cupcakes sold that day were mocha flavoured will be 57%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The percentage will be calculated as:-

P  =  171  /  300

P =   0.57

P   = 0.57  x  100

P  = 57%

Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.

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Using proportions, it is found that the actual cost of each pineapple is of $2.12

A proportion is a fraction of a total amount.

In this problem, considering that the waste factor is of 15%, the total price should be of:

P = 0.85 x $14.95 = $12.7075.

For a case of 6 pineapples, hence the price of each is given by:

Pp = $12.7075/6 = $2.12.

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The actual cost of each pineapple with a waste factor of 15% is $12.71

An equation is an expression that shows the relationship between two or more numbers and variables.

The cost of one case of fresh pineapples is $14.95 and the calculated waste factor is 15 percent. Hence:

Actual cost = 14.95 - 15% of 14.95 = $12.71

The actual cost of each pineapple with a waste factor of 15% is $12.71

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Answer:

18,560

Step-by-step explanation:
3 percent *12800 =

(3:100)*12800 =

(3*12800):100 =

38400:100 = 384

384*15 = 5760
12800 + 5760 = 18560

Answer:

B. X

Step-by-step explanation:

The variable is the unknown term.

This is represented by a letter.

In this case, the variable is "x".

So the answer is B.

Hey there!

Solving

3x - 4 = 5

Add 4 to both sides

3x - 4 + 4 = 5 + 4

3x = 9

x = 9/3

x = 3

Equivalent expressions are:

1. 3x = 9

2. 3x - 4 + 4 = 5 + 4

3. 4 = 5 - 3x

If you're confused about the last one

Solving

−4=5−3x

Step 1: Simplify both sides of the equation.

−4=5−3x

−4=5+−3x

−4=−3x+5

Step 2: Flip the equation.

−3x+5=−4

Step 3: Subtract 5 from both sides.

−3x+5−5=−4−5

−3x=−9

Step 4: Divide both sides by -3.

−3x/−3 = −9/−3

x=3 (Still the same answer)

A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.

A rectangle must be such that one side is longer than the other side.

The area of a rectangle is found as:

= Length x Width

As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.

The factors of 12 which allow this to happen are:

= 1, 2, 3, 4, 6, 12

From here you can use 3 and 4.

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Answer: i'm pretty sure the base is 14cm, the height is 7cm, and the volume is 49 cm2

Step-by-step explanation:

for the base, i just added up 6cm and 8cm to get 14cm, the height was already 7cm, and for the volume, its (b*h)/2, since its a triangular 3d object, so  (7*14)/2=49cm2

Answer:

29 square root or 5.39

Step-by-step explanation:

Answer:

5.39 units.

Step-by-step explanation:

Distance = √(-8-(-3))^2 + (5-7)^2)

= √((-5)^2 + (-2)^2)

= √(25+ 4)

= √(29)

= 5.39.

Answer:

x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4.

Answer:
Your answer would be:
57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:
2

Point 2 3/4:
4

Point 3:
1

Point 3 1/2:
2

Point 3 3/4:
3

Point 4:
1

Point 4 1/4:
4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

62

8.8

2.7

Step-by-step explanation:

that should be right. try that out

Answer:

62,8.8,2.8

Step-by-step explanation:

144 feet squared

Squares are 4 sided shapes that have an equal length on each side.

Area Formula

The area of a square (or rectangle) is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. Due to the fact that squares have four equal sides, the formula can be rewritten as [tex]l^2[/tex].

Solving For Area

Plug the length value into the formula.

Then, add the units to the answer. Because the length is multiplied by itself and the original unit is feet, the units are feet squared.

Answer:225.25 or Mean

Step-by-step explanation: Put the sequence of numbers in order: 173,184,195,205,211,215,219,400

Cross of the end number each side until you have only 2 numbers:205,211

Add these numbers then divide them by 2: 205+211=416 416\2= 208

208 is the median

To find the mean is all of the numbers added together divided by the number of numbers: 173+205+195+215+219+184+211+400=1,802/8+225.25

Now compare the median:208 and the mean:225.25 to the sequence of numbers and see which one best describes the typical number of pages in the books. To do that you can subtract 173 from 400: 227

So the answer that's closest to 227 is 225.25.

I think anyway.

The mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

173, 205, 195, 215, 219, 184, 211, and 400

Arrange the data in ascending order.

173, 184, 195, 205, 211, 215, 219, 400

Here n = 8 which is an even number

For finding the median we have to calculate the average of 205 and 211

Thus, the median is 208

When all the numbers are added up and divided by the total number of numbers, the mean is obtained:

⇒ 173 + 205 + 195 + 215 + 219 + 184 + 211 + 400

⇒ 1,802

⇒ mean = 1,802/8

⇒ mean = 225.25

In order to determine which figure accurately represents the median value of 208 to the mean value of 225.25.

To achieve it, divide 400 by 173, which equals 227.

Therefore, 225.25 is the answer that is closest to 227.

Hence, the mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

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Answer:

Radius: 8.5 inches

Area ≈ 226.98

Circumference ≈ 53.42

Step-by-step explanation:

2πr = formula for circumference of a circle

πr² = formula for area of a circle

radius of a circle = (1/2)d

Answer:

35+5x

Step-by-step explanation:

Pick each bracket and solve them separately. After solving, then you add them

the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1

the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2

Add eqn 1 and 2

= (25-2x) + (10+7x)

Grouping like terms,

= (25+10) + (-2x+7x)

=35+5x

Answer:

21

Step-by-step explanation:

Answer:

[tex]m\angle L = 100^{\circ}[/tex].

[tex]m\angle J = 80^{\circ}[/tex].

[tex]m\angle M = 100^{\circ}[/tex].

Step-by-step explanation:

Since segment [tex]JM[/tex] is parallel to segment [tex]KL[/tex], quadrilateral [tex]JKLM[/tex] is a trapezoid.

Segment [tex]JK[/tex] and segment [tex]LM[/tex] (the two legs of this trapezoid) are equal in length. Hence, trapezoid [tex]JKLM[/tex] would be an isoscele trapezoid. By symmetry, [tex]m\angle L = m \angle K = 100^{\circ}[/tex].

Line [tex]JK[/tex] traverses line [tex]JM[/tex] and line [tex]KL[/tex]. [tex]\angle J[/tex] and [tex]\angle K[/tex] are a pair of consecutive interior angles as they are both between [tex]JM\![/tex] and [tex]KL\![/tex] and are on the same side of the traversal, [tex]JK\![/tex].

Since line [tex]JM[/tex] is parallel to line [tex]KL[/tex], any pair of consecutive interior angles between these two lines would add up to [tex]180^{\circ}[/tex] (supplementary angles.) Thus, [tex]\angle J[/tex] and [tex]\angle K[/tex] are supplementary angles; [tex]m\angle J + m\angle K = 180^{\circ}[/tex].

Since [tex]m\angle K = 100^{\circ}[/tex], [tex]m\angle J = 180^{\circ} - m\angle K = 180^{\circ} - 100^{\circ} = 80^{\circ}[/tex].

fractional number equivalent of 2.888 is

Answer:

[tex]\frac{26}{9}[/tex] or [tex]2 \frac{8}{9}[/tex]

Step-by-step explanation:

Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.

10x = 28.8888...

x = 2.8888...

Subtracting the two equations, we have:

9x = 26

The value of the expression n² + 26n + 88 is equivalent to negative 4 and negative 22.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is n² + 26n + 88

Put that expression to get the solution

          n² + 26n + 88 = 0

 n² + 22n + 4n + 88 = 0

n(n + 22) + 4(n + 22) = 0

          (n + 4)(n + 22) = 0

The value of n is negative 4 and negative 22.

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Answer:

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Step-by-step explanation:

Answer:

330 ft^2

Step-by-step explanation:

See attached image