Please help with this problem

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The solution to the system of equations 6x - y = 21 and -5x + y = -18 is x = 3 and y = -3.

To solve the system of equations:

6x - y = 21   ...(1)

-5x + y = -18  ...(2)

We can use the method of elimination by adding the two equations together to eliminate the variable y:

(6x - y) + (-5x + y) = 21 + (-18)

Simplifying the equation:

6x - y - 5x + y = 21 - 18

Combining like terms:

x = 3

Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use equation (1):

6x - y = 21

6(3) - y = 21

18 - y = 21

Subtracting 18 from both sides:

-y = 3

Multiplying by -1 to isolate y:

y = -3

Therefore, the solution to the system of equations is x = 3 and y = -3.

To verify this solution, we substitute these values back into the original equations:

6x - y = 21

6(3) - (-3) = 21

18 + 3 = 21

21 = 21

The equation holds true for x = 3 and y = -3.

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At Station Y, 15 litres of gasoline would cost £18.

Cost is the amount of money spent by a business to produce or create goods or services. It excludes the profit margin markup. Cost is the sum of money spent on making a good or product, as seen from the seller's perspective.

Ellie must have visited Station Y because she paid $24 for 20 litres of gasoline, proving that she did.

b) We can observe from the graph that 20 litres of gasoline at Station Y costs £24. With the help of this data, we can calculate how much a litre of gasoline costs:

Cost of 1 litre of petrol = Cost of 20 litres of petrol / 20

Cost of 1 litre of petrol = £24 / 20

Cost of 1 litre of petrol = £1.20

Therefore, 15 litres of petrol at Station Y would cost:

Cost of 15 litres of petrol = Cost of 1 litre of petrol x 15

Cost of 15 litres of petrol = £1.20 x 15

Cost of 15 litres of petrol = £18

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To identify the perfect squares among the given expressions, we need to determine which ones can be written as the square of a linear expression.

A perfect square is a result of squaring a linear expression, where a linear expression is of the form ax + b, where a and b are constants. When we square a linear expression, we obtain a quadratic expression.

To determine if an expression is a perfect square, we can expand it and check if it can be factored into the square of a linear expression. If it can be factored in this way, then it is a perfect square.

Let's examine each expression:

1. (x + 3)(x + 3) = \(x^2\) + 6x + 9: This expression can be factored into the square of (x + 3), so it is a perfect square.

2. (2x - 1)(2x - 1) = 4\(x^2\) - 4x + 1: This expression can be factored into the square of (2x - 1), so it is a perfect square.

3. (3x + 4)(3x + 4) = 9\(x^2\) + 24x + 16: This expression can be factored into the square of (3x + 4), so it is a perfect square.

4. (x - 5)(x + 5) = \(x^2\) - 25: This expression is not a perfect square because it cannot be factored into the square of a linear expression.

Therefore, the expressions that are perfect squares are: (x + 3)(x + 3), (2x - 1)(2x - 1), and (3x + 4)(3x + 4).

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Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer:

B; 125

Step-by-step explanation:

45% of 500 is 225. 20% of 500 is 100

225 - 100 = 125

Hope this helps :)

Answer:

B)125

Step-by-step explanation:

i'm just guessing since i don't know the answer. I hope it's right

Answer:

$49.35

Step-by-step explanation:

The formula for finding interest is I=Prt, where I is the interest, P is the principal, r is the rate, and t is the time.

I=(940)(0.07)(\(\frac{9}{12}\))

Since we are working with months, we have to put 9 months over the total number of months in a year, 12.

\(\frac{9}{12}\) simplifies to 0.75.

I=(940)(0.07)(0.75)

I=49.35

The interest is $49.35.

If this answer helped you please give me brainliest :)

Answer:

Abby rode the fastest

Hope that helps!

Answer:

Abby rode the fastest.

Step-by-step explanation:

Eddie rode the second fastest, since they the second highest line. Greg rode second to last, and Michelle rode the slowest, since they have the lowest line.

1)  XY' + Z + X'Z' + YZ'

2) equation 2 is correct.

3) equation 3 is incorrect .

1)

Simplifying algebraically,

XY' +Z+ (X' + Y)Z'

So,

XY' + Z + X'Z' + YZ'

2)

D(A + B)(A + B')C

Simplifying,

(AD + DB) (A + B')C

Further,

ADC + AB'CD + ABCD + BB'CD

ACD + ABCD + AB'CD

= ACD

Thus equation 2 is correct .

Hence proved .

3)

(a + b)(b + c)(c + a) = f1

Simplifying further,

abc + ab + bc + ac = f1

Let f2 = (a'+ b')(b' + c')(c' + a')

Simplify further,

f2 = a'b'c' + a'b' + b'c' + a'c'

Here,

f1 ≠ f2

Thus we disprove equation 3 .

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Answer:

0.804

Step-by-step explanation:

First, we can express 0.1 as 0.100 for easier subtraction.

Then, we can subtract 0.100 from 0.904.

0.904 - 0.100 = 0.804.

Note: You can use the traditional subtracting method to get the answer too.

Given:

The equation of a circle is

\(x^2+y^2=10\)

A tangent line l to the circle touches the circle at point P(1,3).

To find:

The equation of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is

\(m_1=\dfrac{3-0}{1-0}\)

\(m_1=\dfrac{3}{1}\)

\(m=3\)

We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

\(m\times m_1=-1\)

\(m\times 3=-1\)

\(m=-\dfrac{1}{3}\)

The slope of line l is \(-\dfrac{1}{3}\) and it passs through the point P(1,3). So, the equation of line l is

\(y-y_1=m(x-x_1)\)

\(y-3=-\dfrac{1}{3}(x-1)\)

\(y-3=-\dfrac{1}{3}(x)+\dfrac{1}{3}\)

Adding 3 on both sides, we get

\(y=-\dfrac{1}{3}x+\dfrac{1}{3}+3\)

\(y=-\dfrac{1}{3}x+\dfrac{1+9}{3}\)

\(y=-\dfrac{1}{3}x+\dfrac{10}{3}\)

Therefore, the equation of line l is \(y=-\dfrac{1}{3}x+\dfrac{10}{3}\).

Answer:

m=4(subsitute m=4)

Step-by-step explanation:

Answer:

27 :)

Step-by-step explanation:

$27 it D

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Assuming, the canvas has the shape of a square. By the square area formula we can derive its side:

\(S=l^{2}\\64=l^{2}\\l=\sqrt{64}\\ l=8\: ft\)

Then Each side of the painting measures 8 feet, the length of frame must have 8 feet long, and the width is decided by the framer.

Answer:

The answer is C: 32 ft

Step-by-step explanation:

If you take the square root of the area of 64 ft ^2, you get 8. then it asks what is the length needed for the frame as in the entire frame. So you just have to multiply 8 by 4 which is the number of sides. Also, I got this right on the edg quiz.

Answer:

its D

Step-by-step explanation:

5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x=babysitting hours paid at $5

y=ice cream shop hours paid at $8.

Total earned >120

total hours<20

So here is what our equations will look like:

5x+8y>120

x+y<20

Convert the first equation into y>mx+b format

8y>-5x+120

y>-5/8x+15

Convert the second equation into y>mx+b

x+y<20

y<-x+20

We can also solve this mathmatically by finding the point where our equations are equal:

-5/8x+15=-x+20

Add x to both sides to get:

3/8x+15=20

subtract 15 from both sides:

3/8x=5

divide both sides by 3/8:

x=13.33

The question asks us to round to the nearest whole hour, so the minimum she can babysit is 14 hours to still make $120 a week.

Hence, 5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours

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Answer:

Step-by-step explanation:

Given equation sin(x) = 0 lying between the interval 510°≤x≤1050°. To find the value of x within this range, we first find the value of from the equation as shown;

sin(x) = 0

taking the arcsin of both sides;

\(sin^{-1}(sinx) = sin^{-1} 0\\x = 0^{0}\)

Since x is positive in the first and second quadrant, in the second quadrant, the value of x will be 180°-0° = 180°

Subsequent value of x equivalent to 0° will be addition of 180° to each previous value gotten. The values of x within the range given are as shown

x1 =0°

x2 = 180°-0° = 180(2nd quadrant)

x3 = 180°+180° = 360°

x4 = 360°+180° = 540°

x5 = 540°+180°=720°

x6 = 720°+180° = 900°

x7 = 900°+180° = 1080°

We can see from the values above that the values of x that falls within the given range are 540°, 720° and 900°. This gives the required answers in degrees.

Answer:

Irrational

Step-by-step explanation:

\(\sqrt{8} =\sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}\) and this is irrational

So \(\sqrt{8} + \sqrt{8} = 2\sqrt{8} = 2 \cdot 2\sqrt{2} = 4\sqrt{2}\) which is irrational

(adding an irrational number to anything gives an irrational number)

The area under the normal probability density function (p.d.f.) within 1.96 standard deviations of the mean on both sides is approximately 0.95.

In a normal distribution, the area under the p.d.f. curve represents probabilities. The area between the mean and 1.96 standard deviations to the left or right represents approximately 95% of the data. Since the normal distribution is symmetrical, we can split this area equally on both sides, resulting in approximately 0.475 (or 47.5%) on each side.

To calculate the total area, we add up the areas on both sides: 0.475 + 0.475 = 0.95. This means that 95% of the data falls within the range of 1.96 standard deviations from the mean. Consequently, the remaining 5% is distributed outside this range (2.5% to the left and 2.5% to the right). Therefore, the correct answer is A. 0.05, which corresponds to the area outside the range of 1.96 standard deviations from the mean.

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Answer:

  $2.21

Step-by-step explanation:

You want to know the savings between using a $10 off coupon and taking a 15% discount, if the tax rate is 10.3%.

The price with the coupon is ...

  $79.99 -10.00 = $69.99

When tax is added, the total becomes ...

  $69.99 × 1.103 ≈ $77.20

The price with the discount is ...

  $79.99 × (1 -0.15) ≈ $67.99

When tax is added, the total becomes ...

  $67.99 × 1.103 ≈ $74.99

The savings by making use of the discount is ...

  $77.20 -74.99 = $2.21

The total savings between the coupon and the discount is $2.21. That is, you save $2.21 more by using the discount instead of the coupon.

__

Additional comment

The question seems a bit ambiguous. The word "or" suggests you cannot use both discounts. If you do, the total amount saved will depend on the order in which they are applied.

You get the best result by taking the $10 off the sale price. Doing that gives you a total savings of about $24.27 off the normal price with tax.

Answer:

-21

Explanation:

3 · 7 = 21

When any number being multiplied is a negative, the output becomes a negative

-3 · 7 = -21

Answer:

-21

Step-by-step explanation:

7 X 3= 21 and because the 3 is negative you get a negative product which is -21

Yes, the business did better on the second campaign. Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign.

ROI stands for Return on Investment, which is a measure of profitability. It is calculated by dividing the net profit by the total investment and expressing it as a percentage.

In this case, the ROI for the first campaign was 3, indicating that the business generated three times the profit compared to the investment.

ROAS stands for Return on Advertising Spend, which is a measure of the effectiveness of advertising campaigns. It is calculated by dividing the revenue generated by the advertising campaign by the cost of that campaign.

In this case, the ROAS for the second campaign was 4, indicating that the business generated four times the revenue compared to the advertising cost.

Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign. The ROAS value of 4 is higher than the ROI value of 3, indicating that the second campaign was more effective in terms of generating revenue compared to the investment made.

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The ROI (Return on Investment) measures the profitability of an investment and is calculated by dividing the net profit by the cost of the investment.

The ROAS (Return on Advertising Spend) measures the effectiveness of an advertising campaign and is calculated by dividing the revenue generated by the advertising campaign by the cost of the campaign. Based on the information provided, it can be concluded that the business did better on the second campaign.


In this case, the business had an ROI of 3 for the first campaign and a ROAS of 4 for the second campaign.

To compare the two campaigns, we can look at the ratios.

For the first campaign, the ROI was 3, meaning that for every dollar invested, the business received 3 dollars in profit.

For the second campaign, the ROAS was 4, meaning that for every dollar spent on advertising, the business generated 4 dollars in revenue.

Comparing these two ratios, we can see that the second campaign had a higher return on advertising spend (ROAS) compared to the first campaign's return on investment (ROI). This suggests that the second campaign performed better in terms of generating revenue in relation to the advertising cost.

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The longest racial grouping of respondents to the 2012 GSS was non-Hispanic white, with 78.7%. The second-largest grouping was Black or African American, with 15.6%.

The General Social Survey (GSS) is a nationally representative survey of American adults that has been conducted annually since 1972. The GSS collects data on a wide range of topics, including race and ethnicity. In 2012, the GSS asked respondents to identify their race and ethnicity. The results showed that the largest racial grouping in the United States was non-Hispanic white, followed by Black or African American. in the 2012 GSS or any other related information, it is recommended to refer to the official documentation or reports from the General Social Survey (GSS).

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A researcher generates a random sample of 50 college students from a nearby university using a random number generator. The researcher is utilizing a sample survey.

What is a sample survey?

A sample survey is a process that helps researchers to study a small part of a large population to generalize and make predictions about the entire population. It involves the selection of a smaller group of individuals from a larger population of interest, and the results obtained from this selected group are then used to draw inferences or generalizations about the population.

For instance, in this case, the researcher is only interested in 50 college students, but it would be impractical to study the entire student body at the university. Therefore, the researcher utilized a sample survey to select a random sample of 50 college students from a nearby university using a random number generator.

The sample survey method is generally considered more cost-effective and practical than other research methods such as a census, which involves studying an entire population.

Therefore, in conclusion, the researcher is utilizing a sample survey.

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Answer:

Step-by-step explanation:

Since ( 1 , -1) is a point on the line 2x-(2a+5)y=5 we can substitute it into the equation to find a

We have

2(1) - (-1)(2a + 5) = 5

Multiplying two negatives make a positive

That's

2 + 2a + 5 = 5

2a + 7 = 5

Group like terms

Send the constants to the right side of the equation

That's

2a = 5 - 7

2a = - 2

Divide both sides by 2

That's

We have the final answer as

Hope this helps you

The sum of the first 11 terms of the geometric sequence -3/2, 3, -6, 12, ... is 1092.  A geometric sequence is a sequence where each term is found by multiplying the previous term by a constant factor

In this case, the common ratio is -2. To find the sum of the first 11 terms, we can use the formula for the sum of a geometric series:

S = a(1 - r^n) / (1 - r)

where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms. Plugging in the values, we get:

S = (-3/2)(1 - (-2)^11) / (1 - (-2))

Simplifying the equation gives:

S = (-3/2)(1 - 2048) / 3

S = (-3/2)(-2047) / 3

S = 3069/2

S = 1534.5

Therefore, the sum of the first 11 terms of the given geometric sequence is 1534.5.

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Answer:

88 in

Step-by-step explanation:

find the area of each shape individually

triangles - 3x8=24 and you don't have to divide by 2 because there's 2 triangles.

rectangles - 8x4x2=64 you multiply by 2 because there are 2 rectangles.

then you add the rectangles and triangles together.

Answer:

88 (is the total area since I did not really get what you were asking)

Step-by-step explanation:

The question is basically asking to find the rectangle and triangle and then multiply both by 2.

Find the rectangle:

4 x 8 = 32

Find the triangle:

7 - 4 = 3

3 x 8/2 = 12

Multiply by 2:

32 x 2 = 64

12 x 2 = 24

Add the two up..

64 + 24 = 88

Hope this helps :)

Answer:11 cups

Step-by-step explanation:

Srry if im wrong :)

Answer:

I don't know

Step-by-step explanation:

I don't know

Answer:

7

Step-by-step explanation: