There is a pair of parallel sides in the following shape.
What is the area of the shape?

Step-by-step explanation:

Im a fifth grader so I gave it my best shot and there might be more steps to it but I'm pretty sure its 2/10

Answer:

x = 68°

Step-by-step explanation:

There is Two Option:

Option One: Looking at the side length we can determine that the triangle is an isosceles triangle. Which mean two angle/side are the same.

Use the Degree Angle to solve for x.

56 + 56 + x = 180

x + 112 = 180

x = 68°

Option Two: Using Law of Sine

[tex]\frac{A}{sin(A)}=\frac{B}{sin(B)} =\frac{C}{sin(C)}[/tex]

[tex]\frac{4.5}{sin(x)} =\frac{4}{sin(56)}[/tex]

[tex]sin(x)=\frac{sin(56)}{4} *4.5[/tex]

[tex]x=sin^{-1}(\frac{4.5*sin(56)}{4})[/tex]

x = 68°

Answer:

  $10272

Step-by-step explanation:

You want the cost of a rug 32 ft by 60 ft at the rate of $5.35 per square foot.

The area of the rug is ...

  32 ft × 60 ft = 1920 ft²

At $5.35 per square foot, the cost is ...

  (1920 ft²)($5.35/ft²) = $10,272

The cost of the area rug will be about $10,272.

The area of the shape is 89m²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The original shape is a rectangle and a triangle cut out from it.

The area of the shape = area of rectangle - area of triangle

area of rectangle = 13× 8

= 104m²

Area of the triangle = 1/2bh

= 1/2 × 5 × 6

= 5×,3

= 15m²

therefore area of the shape = 104-15 = 89m²

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The  current interest rate on euro deposits is 2%, and the interest rate on dollar deposits is 3% .You should invent in d)Neither one In Europe In the US.

Using the UIP (Uncovered Interest Parity) equation, we can determine whether it is better to invest in Europe or the US. The expected future exchange rate is $1.20/€, while the current spot rate is $1.15/€. The interest rate on euro deposits is 2%, and the interest rate on dollar deposits is 3%.

The UIP equation is given by:

(Expected future exchange rate - Current spot rate) / Current spot rate = (Interest rate in domestic currency - Interest rate in foreign currency)

In this case, the domestic currency is USD and the foreign currency is EUR. Plugging in the values, we get:
($1.20 - $1.15) / $1.15 = (0.03 - 0.02)

Solving for the equation:
0.0435 ≈ 0.01

The difference in interest rates (1%) is approximately equal to the expected appreciation of the euro against the dollar (4.35%). Therefore, according to the UIP equation, there should be no significant difference between investing in Europe or the US, as the potential returns are nearly equal when considering currency movements and interest rates.

In conclusion, based on the UIP equation, you can choose to invest in either Europe or the US, as the expected returns are similar. However, it is important to consider additional factors, such as risk tolerance and investment objectives, before making a final decision. The correct answer is d.

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The fraction for the given situation is 7/3. Therefore, option D is the correct answer.

Given that, there are 7 apple pies.

3 people will share the pies equally.

Equal share of pie = Number of apple pies/Number of people

Equal share of pie = 7/3

So, the fraction is 7/3 of a whole

Therefore, option D is the correct answer.

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Answer: The answer is 0.16. i hope I helped you god bless you.

Step-by-step explanation:

Answer:

Assuming that the loan has monthly payments, the total number of payments in the 30-year loan would be 30 x 12 = 360.

To calculate how much is owed at the end of the five-year fixed period, we need to first determine how much of the principal (the borrowed amount) will be paid off during that time.

Using an amortization calculator, we can determine that with a 4.25% interest rate and monthly payments of $972.38, the principal paid off after five years will be approximately $25,732.37.

At the end of the five-year fixed period, the remaining principal balance will be $197,500 - $25,732.37 = $171,767.63. This will be the amount owed at the end of the fixed period.

Step-by-step explanation:

Answer: The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. What is this? 

Step-by-step explanation: I would hope this helps! a picture would better help me understand your question!!

The probability that z lies between 0 and 3.01 is: 0.9987 - 0.5 = 0.4987 So, the answer is 0.4987. To find the probability that z lies between 0 and 3.01 for a standard normal variable, you need to look up the values in a standard normal (z-score) table or use a calculator with the normal distribution function.

For z = 0, the probability is 0.5 (due to symmetry of the standard normal distribution). For z = 3.01, the probability is approximately 0.9987. To find the probability between 0 and 3.01, subtract the probability of z = 0 from the probability of z = 3.01.

0.9987 - 0.5 = 0.4987

So, the probability that z lies between 0 and 3.01 is approximately 0.4987. Your answer is 0.4987.

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When a square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, the resulting cross-section is a pentagon.

The square pyramid has a square base and four triangular faces, so when a plane passes through all five faces, it intersects each of the four triangular faces to form a trapezoid. These four trapezoids combine to form a pentagon.

The resulting cross-section can vary depending on the angle at which the plane intersects the pyramid. If the plane intersects the pyramid at a right angle to the base, the resulting pentagon will be a regular pentagon. If the plane intersects the pyramid at an angle, the resulting pentagon will be irregular.

In summary, when a square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, the resulting cross-section is a pentagon, which can be regular or irregular depending on the angle of intersection.

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The integral that quantifies the increase in the volume of a sphere as its radius r triples from r unit to 3r units is 26πr³.

To write an integral that quantifies the increase in the volume of a sphere as its radius r triples from r unit to 3r units, we will use the formula for the volume of a sphere, which is V = (4/3)πr³.

To find the increase in volume, we will integrate the derivative of the volume with respect to r from r to 3r:

ΔV = ∫(dV/dr) dr from r to 3r

First, find the derivative of the volume with respect to r:

dV/dr = d(4/3πr³)/dr = 4πr²

Now, integrate the derivative with respect to r from r to 3r:

ΔV = ∫(4πr²) dr from r to 3r = 4π [∫r² dr from r to 3r]

= 4π [(1/3)r³] evaluated from r to 3r

= 4π [(1/3)(3r)³ - (1/3)r³]

= 4π [(27 - 1)/3] r³

= 26πr³

So, the integral that quantifies the increase in the volume of a sphere as its radius r triples from r unit to 3r units is 26πr³.

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Answer: -7i + 4j in component form is (-7, 4).

Step-by-step explanation:

Answer:

The probability that you will have to wait more than 5 minutes is the same as the probability that you sit down during the first 10 minutes of the 15-minute interval. This probability is:

10 minutes / 15 minutes = 2/3

Therefore, the answer is 2/3.

Step-by-step explanation:

from the picture above, we can see that the focus point of the parabola is at (2 , -4) and its vertex at (2 , -5), so the "p" distance from each other is just 1 unit, since the vertical parabola is opening upwards, that means "p" is positive or just p=1.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{p~is~negative}{op ens~\cap}\qquad \stackrel{p~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=2\\ k=-5\\ p=1 \end{cases}\implies 4(1)(~~y-(-5)~~) = (~~x-2~~)^2 \\\\\\ 4(y+5)=x^2+4x+4\implies 4y+20=x^2+4x+4 \\\\\\ 4y=x^2+4x-16\implies {\Large \begin{array}{llll} y=\cfrac{1}{4}x^2+x-4 \end{array}}[/tex]

a. To find the t-test statistic, we first need to calculate the standard error of the mean using the formula: standard deviation / square root of sample size. In this case, the standard error of the mean is 600 / square root of 50, which is approximately 84.85.

Then, we can calculate the t-test statistic using the formula: (sample mean - hypothesized population mean) / standard error of the mean. In this case, the t-test statistic is (2450 - 2600) / 84.85, which is approximately -1.77.

b. To find the P-value, we need to consult a t-distribution table or use statistical software. Using a two-tailed t-test with 49 degrees of freedom (50-1), we find that the P-value associated with a t-test statistic of -1.77 is approximately 0.084. Therefore, there is a 8.4% chance of obtaining a sample mean of $2,450 or less if the true mean amount of Pell grant awards received by San Jose State University Pell grant recipients this year is actually $2,600.

Note: A common threshold for statistical significance is a P-value of less than 0.05. Since the P-value in this case is greater than 0.05, we cannot reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean amount of Pell grant awards received by San Jose State University Pell grant recipients this year is different from $2,600.
a. To find the t-test statistic, we will use the following formula:

t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

Here, sample mean = $2,450, population mean = $2,600, sample standard deviation = $600, and sample size = 50.

t = ($2,450 - $2,600) / ($600 / sqrt(50))
t = (-$150) / ($600 / 7.071)
t = (-$150) / $84.85
t ≈ -1.77

The t-test statistic is approximately -1.77.

b. To find the P-value, we need to use a t-distribution table or software to determine the probability of obtaining a t-test statistic as extreme or more extreme than our calculated value. We are doing a two-tailed test, so we need to find the area in both tails.

Looking up the t-test statistic -1.77 in a t-distribution table with 49 degrees of freedom (sample size - 1), we find the P-value is between 0.05 and 0.10. For a more accurate P-value, use software or an online calculator.

So, the P-value is between 0.05 and 0.10.

Answer:

Step-by-step explanation:

5 +2/10

since 5 is on outside you can just add them

Answer:

3x^3 + 6x^2 - 24x + 27.

Step-by-step explanation:

To subtract these two polynomials, we need to combine like terms.

7x^3 - 16x + 18 - (4x^3 - 6x^2 + 8x - 9)

First, we can simplify the parentheses by distributing the negative sign:

7x^3 - 16x + 18 - 4x^3 + 6x^2 - 8x + 9

Next, we can combine like terms:

(7x^3 - 4x^3) + (6x^2) + (-16x - 8x) + (18 + 9)

Simplifying further:

3x^3 + 6x^2 - 24x + 27

Therefore, the answer is 3x^3 + 6x^2 - 24x + 27.

Cyclic redundancy checks work by using a generator polynomial to calculate a unique value (CRC) based on the original data. This value is then appended to the data and verified by the receiver to ensure data integrity.

Cyclic Redundancy Checks (CRC) work as an error-detecting method used to ensure data integrity during transmission or storage. The process involves the following steps:

1. A predetermined polynomial (called the generator polynomial) is chosen for the CRC algorithm.

2. Before transmitting data, the sender divides the original data by the generator polynomial, using binary division.

3. The remainder obtained from the division is treated as the CRC value.

4. The sender appends the CRC value to the end of the original data, forming the transmitted message.

5. The receiver, upon receiving the message, performs the same binary division using the same generator polynomial.

6. If the remainder from the receiver's division matches the CRC value sent by the sender, it is assumed that the data is error-free.

7. If the remainder does not match, the receiver knows that an error occurred during transmission and can request the sender to retransmit the data.

In summary, cyclic redundancy checks work by using a generator polynomial to calculate a unique value (CRC) based on the original data. This value is then appended to the data and verified by the receiver to ensure data integrity.

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Answer:

301.593

Step-by-step explanation:

surface area = circumference x height + 2 x circle area

= 4 x 2 x π x 8 + 2 x π x 4^2

= 25.1327412287 x 8 + 6.28318530718 x 16

= 201.06192983 + 100.530964915

= 301.592894745 ≈ 301.593

To construct the circumcenter of triangle ABC, we need to find the point that is equidistant to its three vertices A, B, and C. We can do this by constructing the perpendicular bisectors of the sides AB, BC, and AC, and finding their intersection point.

Here are the steps to construct the circumcenter:

Draw triangle ABC.

Construct the perpendicular bisectors of sides AB and BC. To do this, find the midpoint of each side (label them M and N, respectively), and draw a perpendicular line to each side that passes through its midpoint. Label the points where the perpendicular bisectors intersect AB and BC as P and Q, respectively.

Construct the perpendicular bisector of side AC using the same method. Label the point where this bisector intersects AC as R.

Draw lines connecting each vertex of the triangle to the intersection point of the perpendicular bisectors. These lines are the radii of the circumcircle.

The intersection point of the perpendicular bisectors is the circumcenter of triangle ABC. Label this point as O.

Now, we have constructed the circumcenter O of triangle ABC, which is the point that is equidistant to its three vertices A, B, and C.

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Answer:

16 i think

Step-by-step explanation:

Answer:

We know that

Area of rectangle: Length" Breadth

For Question

Area of respective Rectangle are:

A : 13*(x+12) ft²

B : 10*8=80ft²

C : (x+10)*7 ft²

D : (x+10)*(10-7)=(x+10)*3 ft2

E : 6*6 =36 ft²

F : 7*6= 42 ft²

G : (x+8)*(x+7) ft²

H : (3x+23)*(2x+17) ft²

I. : (2x+16)*(x+8) ft²

The perimeter of the triangle with sides of 2m, 2m, and 2m is:

Perimeter = sum of all sides

Perimeter = 2m + 2m + 2m

Perimeter = 6m

Therefore, the perimeter of the triangle is 6 meters.

The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.

It follows from the task content that the second number in an ordered pair represents what coordinates as required to be determined.

Recall that an ordered pair of coordinates usually takes the form; (x, y) in which case, x which is the first number represents the x-coordinate while y, which is the second number represents the y-coordinate.

On this note, the two blanks in the given sentence to be completed are best filled with; "second number" and y-axis respectively.

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The total number of cookies baked during the week if a bakery baked 1,244 trays of 26 chocolate chip cookies and also 694 trays of 19 sugar cookies are 336530.

To calculate the total number of cookies we have to find the number of chocolate chip and sugar cookies.

The total number of chocolate cookies is given by the product of the number of cookies in a tray and the number of trays.

Trays of chocolate chip cookies = 1244

Number of chocolate chip cookies per tray = 26

Total number of chocolate chip cookies = 1244 * 26

= 32344

Similarly, the total number of sugar cookies is given by the product of the number of cookies in a tray and the number of trays.

Trays of sugar cookies = 694

Number of sugar cookies per tray = 19

Total number of chocolate chip cookies = 694 * 19

= 13186

Total number of cookies = total number of chocolate chip cookies + sugar cookies

= 32344 + 13186

=336530

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The calculated value of the expression √97 is between 8 and 10

From the question, we have the following parameters that can be used in our computation:

√97

The above expression is a radical expression, and at the same time it is an irrational number

This is because

When evaluated, we have

√97 = 9.848.....

This number is between 8 and 10

Hence, the value of the expression is between 8 and 10

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Answer:  121

Step-by-step explanation:

Area of a parallelogram = base x height = 11 x 11 = 121

If you make the minimal payment of $80 on the end of the first month, $61.85 will cross towards the principal and $18.15 will go towards interest charges.

To calculate how much of the minimal charge goes closer to the principal, we first need to calculate the amount of interest that accrues at the outstanding balance for the first month.

Interest charged for the month = monthly interest fee x outstanding stability

Now we are able to calculate how a good deal of the minimal fee goes closer to the principal:

Consequently, if you make the minimal payment of $80 on the end of the first month, $61.85 will cross towards the principal and $18.15 will go towards interest charges.

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Considering the three-place Boolean function f defined

(a) f(1, 1, 1) = (7(1) + 2(1) + 4(1)) and f(0, 0, 1) = (7(0) + 2(0) + 4(1))

(b) Using an input/output table f is an odd parity function.

A Boolean function is a mathematical function that takes input values and returns a binary output value. In the given problem, the three-place Boolean function f is defined by the rule (7x1 + 2x2 + 4x3) mod 2, where x1, x2, and x3 are binary inputs.
To find f(1, 1, 1), we substitute x1=1, x2=1, and x3=1 in the given function. Therefore, f(1, 1, 1) = (7(1) + 2(1) + 4(1)) mod 2 = 1.
Similarly, to find f(0, 0, 1), we substitute x1=0, x2=0, and x3=1 in the given function. Therefore, f(0, 0, 1) = (7(0) + 2(0) + 4(1)) mod 2 = 0.
To describe f using an input/output table, we consider all possible input combinations of x1, x2, and x3 and evaluate the function for each combination. The resulting input/output table is as follows:
Input Output
x1 x2 x3 f
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 1
1 0 1 1
1 1 0 1
1 1 1 0
From the input/output table, we can see that the function f returns 1 when the sum of 7x1, 2x2, and 4x3 is odd and returns 0 when it is even. Thus, we can conclude that f is an odd parity function.

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Answer:

Area is the size of the surface. To get the area you multiply one side from the vertical edge and 1 from the horizontal

Step-by-step explanation: heres an example sorta pretend its full shape        

    i

27 i

    i

    i

    ____________

                10

10x27=270

270 is the area

An area is the quantity showing how much an object has covered a space.

Area is the size of a surface.

Area :-

Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.

The geometry of such a shape contains at least three sides joined together to form a boundary.

Symbolic representation of such space in mathematics refers to the “area” formula.

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