Leah wants to build 2 shelves with a board that is 5 feet 3 inches long. If Leah divides the board into 4 equal pieces, how long is each board in inches? (Round your answer to the nearest tenth.)

Answer:

False

Step-by-step explanation:

& is greater that 7 because you are going back to the nmber like in the negatives

The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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Answer:

8 units

Step-by-step explanation:

Area of square:

length * width

2 * 3

= 6  units

Area of triangle:

1/2 * base * height

1/2 * 2 * 2

= 2 units

Area of entire shape:

6 + 2

= 8 units

So, the area of the shape is 8 units.

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Have a GREAT day!!!

Answer:

i have the same question lol

Step-by-step explanation:

But i d k  the answer either sorry

Answer: 4.7x + 7.9

Step-by-step explanation:    8.4x + 2.9 - 3.7x + 5

( 8.4x- 3.7x) + ( 2.9+ 5)

( ( 8.4- 3.7) X x + ( 2.9+ 5)

4.7x +  (2.9+5)

4.7x + 7.9

I hope this helps have a great Day/night!!

Answer:

L=36/30

Step-by-step explanation:

A=L×W

= 9/10=L×3/4

= 9/10=3L/4

= 9×4=3L×10

= 36=30L

= 36/30=30L/30

= L=36/30

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

The surface areas are given as;

a.  2700 cm²

b. 280. 6 cm²

c. 815. 3 cm²

The formula for calculating the surface area of a cuboid is expressed as;

Surface area (SA) = 2lw+2lh+2hw

Such that l is the length, w is the width and h is the height

Substitute the values, we have;

a. Surface area = 2(25×25) + 2(4 ×25) + 2(25 ×25)

expand the bracket, we have;

Surface area = 1250 + 200 + 1250

Surface area = 2700 cm²

b. Surface area of the pyramid = √3/ 2a²

Substitute the value

Surface area = √3 /2 × 18²

Find the square, we have;

Surface area = 280. 6 cm²

c. The total surface area to be painted ;

= 675 + √3/4a²

= 675 + 140.3

= 815. 3 cm²

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Answer:

100+150DHS

Step-by-step explanation:

100 base and 150 is the rate per a day

In measuring the central tendency of the data from a skewed distribution, the median would be preferred over the mean in most cases because:

B. The mean is sensitive to extreme scores and this will obscure the true “center” of the distribution

A skewed distribution is neither symmetric nor normal because the data values trail off more sharply on one side than on the other.

For skewed distributions, there is a large possibility of an outlier as it could be skewed either to the left or right heavily.

In this regards, the mean is most sensitive to outliers and as a result the median should be used when extreme scores or skewed distributions are present.

Finally, the median is less affected than the mean by extreme scores and skewed distributions.

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The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.

With these details, you can calculate the fraction accurately.

Point A on the number line represents a fraction that requires additional information to determine its precise value.

I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.

A number line represents a range of values, typically with a specific scale or interval.

The scale can be divided into equal parts, such as units or fractions.

To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.

Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.

If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).

If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.

Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The next number in the sequence 1, 2, 6, 22 is 86.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 1, 2, 6, 22

Consider the provided sequence 1, 2, 6, 22, ____ ?

Observe the pattern of the sequence.

To obtain the sequence you need to add the next even square of 2 in the previous number.

1+2⁰=2

Now the next even number is 2.

2+2²=6

Now 6+2⁴=6+16=22

Therefore, the next number should be:

22+2⁶=86

Hence, the next number in the sequence 1, 2, 6, 22 is 86.

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Answer:

10x+5

Step-by-step explanation:

5(2x+1)

Using distributive property, which is

A(B+C)=(A×B)+(A×C)

=(5×2x)+(5×1)

=10x+5

Hope it helps :)

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer:

Step-by-step explanation:

d = 13.416408

For:

(X1, Y1) = (-4, -5)

(X2, Y2) = (8, 1)

Answer:

L = 9.49 units

Step-by-step explanation:

From the 1st point to the 2nd, x changes by 12; from the 1st to the 2nd, y changes (increases) by 6.  These results (12 and 6) represent the leg length of a right triangle whose diagonal length we wish to calculate using the Pythagorean Theorem:

12^2 = 144 and 6^2 = 36.

Combining these results in the length of the diagonal:

L = √(144 + 36) = √180 = 13.42 units using the Pythagorean Theorem

Rounding off, we get L = 9.49 units

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

the since ratio is 5/4

Step-by-step explanation:

Answer:

1,208.92613

Step-by-step explanation:

this is the answer

The required system of the equation that represents the number of quarters, q, and the number of dimes, d, in the jar is 0.10d + 0.25q = 8 and d + q = 50.

Given that,
Ronny is taking a jar with 50 dimes and quarters to Coin Master to redeem for dollar bills. The total value of his jar is $8.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the number of the dimes be d and the number of the quarters be q,
According to the question,
The total of the coins is 50,
d + q = 50,
And this coins values is $8,
0.10d + 0.25q = 50   [sinnce value of one dime = 0.10 and value of one quarter is 0.25]

Thus, the required system of the equation that represents the number of quarters, q, and the number of dimes, d, in the jar is 0.10d + 0.25q = 8 and d + q = 50.

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Answer:

300 is 100%

x is 60%

x= 300• 60/100

x= 18000/100

x= 180

Answer:

-6 \(\sqrt{35}\)

Step-by-step explanation:

Answer:

\(6\sqrt{35}i\)

Step-by-step explanation:

9514 1404 393

Answer:

  143 in²

Step-by-step explanation:

The figure is dimensioned in such a way that it can be divided easily into three rectangular areas. The top rectangle is 10 in wide and 7 in high. The vertical rectangle below that is 4 in wide and 12 in high, and the square appendage on the right is 5 in square.

Then the total area is the sum of products of length and width:

  A = (10 in)(7 in) + (4 in)(12 in) + (5 in)(5 in) = (70 +48 +25) in²

  A = 143 in²

The area of the irregular figure is 143 in².

This is the Law of Cosines, which relates the Lengths of the sides of a triangle to the cosine of one of its angles.CD² = AC² + (b - x)² - 2 * AC * (b - x) * (sin(ABD) / sin(ACD))

To derive the Law of Cosines, follow these steps:

Step 1: Consider the triangle AABD, where A and B are vertices and AB is the side opposite the angle ABD.

Apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we have:

AB² = AD² + BD²

Step 2: Now, consider the triangle ACBD, where C is another vertex and AC is the side opposite the angle ACD.

Apply the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all sides and angles in the triangle. In this case, we have:

AC / sin(ACD) = BD / sin(ABD)

Rearrange the equation to isolate AC:

AC = (BD / sin(ABD)) * sin(ACD)

Step 3: Notice that BD = b - x, where b is the length of AB and x is the length of CD.

Substitute this expression for BD in the equation from step 2:

AC = ((b - x) / sin(ABD)) * sin(ACD)

Step 4: Square both sides of the equation obtained in step 3:

AC² = ((b - x) / sin(ABD))² * sin²(ACD)

Step 5: Recall that sin²(ACD) = 1 - cos²(ACD). Substitute this expression in the equation from step 4:

AC² = ((b - x) / sin(ABD))² * (1 - cos²(ACD))

Step 6: Rearrange the equation to isolate cos²(ACD):

cos²(ACD) = 1 - (AC² / ((b - x) / sin(ABD))²)

Step 7: Simplify the equation:

cos²(ACD) = 1 - AC² / (b - x)² * (sin(ABD) / sin(ACD))²

Step 8: Finally, recall that cos²(ACD) = 1 - sin²(ACD) = 1 - (CD / AC)². Substitute this expression in the equation from step 7:

1 - (CD / AC)² = 1 - AC² / (b - x)² * (sin(ABD) / sin(ACD))²

Rearrange the equation to obtain the Law of Cosines:

CD² = AC² + (b - x)² - 2 * AC * (b - x) * (sin(ABD) / sin(ACD))

This is the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.

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Answer:

Step-by-step explanation:

Deposited  60000(debit)

cash 60000(credit)

Deposited 1500(debit)

cash 1500(credit)

debit 61500 credit 61500

The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

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