Find the Area of the parallelogram.
12 in.
15 in.
18 in

The formula for the third side of a triangle, given the lengths of two other sides and the angle between them, is:

side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))

The formula for the third side of a triangle, given the lengths of two other sides and the angle between them, is:

side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))

This formula is derived from the Law of Cosines, which states that the sum of the squares of any two sides of a triangle is equal to the square of the third side, minus twice the product of those two sides multiplied by the cosine of the angle between them.

In other words, the formula states that:

side_3^2 = side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle)

which is then solved for side_3 by taking the square root of both sides. Thus, the formula for the third side can be written as:

side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))

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Answer:

Step-by-step explanation:

Selling price of two irons is Rs.1050 each.

Loss on one iron = Rs.300

Profit on second iron = Rs.450

We know that ,

Cost price = Selling price + loss ,when loss is given

and cost price = Selling price - profit ,when profit is given.

therefore, cost price of first iron = 1050 + 300 =1350 rupees

cost price of second iron = 1050 - 450 = 600 rupees

total cost price = 1350 + 600 = 1950 rupees

total selling price = 1050 + 1050 = 2100 rupees

since total cost price < selling price

so, there is a profit of 2100 - 1950 = 150 rupees.

Answer:

x must be 14/4 = 7/2

Step-by-step explanation:

The sum of the three interior angles of a triangle must be 180 degrees.

Thus, in this particular case,

82 + 64 + 4x + 20 = 180, or

   146     + 4x = 160, or

                4x = 160 - 146 = 14

Then 4x = 14, and x must be 14/4 = 7/2

Answer:

x = 6

Step-by-step explanation:

72 + 64 + (4x + 20) = 180

4x + 156 = 180

4x = 180 - 156

4x = 24

x = 6

Answer:

4.30 and 0.70 if you round of to the nearest tenth

Step-by-step explanation:

pls mark as brainliest lol

That be 148 green peppers if I have my math right.

Step-by-step explanation:

because its 4 times as much, and altogether equals 185, the equation is 5x=185, so x is equal to 37, which is how many yellow peppers she sold. multiply that by 4, and you get 148 green peppers. I hope this helps

All values that are NOT in the domain of 9 are 5 /11 at x=9, where function  h=7.

All real numbers x, with the exception of those for which the denominator is 0, are included in the domain of a rational function. Equilibrate the denominator to zero and then solve for x to determine which x values are excluded from the scope of a rational function.

h(x)=x-2\sg(x)=(x-4)(x+2)

Suppose x = 9 and h(9) = 9-2 and g(9) = (9-4) (9+2) =5 /11

Because it is impossible to divide by zero while h is in the denominator, there will always be an issue anytime h = 7. After solving them, we discover that x cannot be either -2 or 5. So, the answer to part B would be x-5/11.or 5/11 are examples of x values that are beyond the domain.

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The place with the highest temperature is Oslo.

The difference between the temperature in Ottawa and Oslo is 5.2 degrees Celsius .

The new temperature in Moscow is 11 degrees Celsius .

When temperatures are in the negatives, the higher temperature would be the smaller number. Oslo therefore has the highest temperature at - 4.3 °C.

The difference between the temperature in Ottawa and Oslo can be found by subtracting the temperatures:

= - 4 . 3 - ( - 9 . 5 )

= - 4.3 + 9 .5

= 5. 2 degrees Celsius

The new temperature in Moscow is:

= - 7.9 - 3.1

= 11 degrees Celsius

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Answer:

9216

Step-by-step explanation:

number of small cubes that would fill the prism = volume of prism / volume of small cubes

volume of a prism = length x width x height

3 x 6 x 8 = 144

volume of cube = length³

(1/4)³ = 1/64

144 ÷ 1/64

144 x 64 = 9216

Answer:

g (x) = −7 x 2 + 26 x + 8

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

mean= (10+19+20+13+13+2+10+8+25+10)/10=130/10=13

The mean number of first cousins for the given sample is 13. Thus, Option C is correct.

Mean is the arithmetic average of the given set of observations.

Mean for ungrouped or raw data is obtained by adding all the observations and dividing it by the number of observations.

Mean = Sum of all the observations/ Total number of observations.

Mean = ∑( x1 + x2 + x3 .... xn /n)

Where X bar represents mean, n is no. of observations and ∑ denotes sigma i.e. sum of all the values.

No. of observations (n) =10

Mean = ∑ (10 + 19 + 20 + 13 + 13 + 2 + 10 + 8 + 25 + 10) / 10

Mean = 130 / 10

= 13

Therefore, Option C is the correct answer.

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Answer:

13,000

Step-by-step explanation:

We are 30 years away from 1990 which is double of 15 years so if you double 6,258 you get close to 13,000

Answer:

C, 13,000

I have attached a graph to help you out:

Hope this helps!

The cordinate of point B is -2.

To find the coordinate of point B, we need to determine its distance from point A and then add that distance to the coordinate of point A. We are given that point B lies on a number line between points A and C, and that the distance between A and B is 1/3 of the distance between A and C.

First, we'll find the distance between points A and C. We know that the coordinate of A is -9 and the coordinate of C is 12. To find the distance between these two points, we simply subtract the coordinate of A from the coordinate of C. So, 12 - (-9) = 21. This tells us that the distance between points A and C is 21 units.

Next, we'll use this information to find the distance between points A and B. We know that this distance is 1/3 of the distance between A and C, so we'll multiply 21 (the distance between A and C) by 1/3. 21 * 1/3 = 7. This tells us that the distance between points A and B is 7 units.

Finally, we'll add this distance to the coordinate of point A to find the coordinate of point B. Since A is at -9, B is at -9 + 7 = -2. Therefore, the coordinate of B is -2.

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Answer:

Step-by-step explanation:

3(23-2b) + 3b = 48

1. Use the distributive property and distribute the 3 before the parenthesis

             3(23-2b)   (make sure you read the (-) as part of the 2b so it's -2b

              69 - 6b

2. 69 - 6b +3b = 48   (combine like terms...the bs: -6b + 3b)

    69 -3b=48

3. 69 - 3b = 48         (subtract 69 from both sides)

   -69           -69

4. -3b = -21      (divide both sides by negative three...we want the b to be +

   /-3    /-3

Answer: b = 7

So, C is your answer

Hope it helps you.

Answer: [tex]24, 32, 40\ in.[/tex]

Step-by-step explanation:

Given

The shorter side is 8 inches shorter than the long side.

The hypotenuse is 8 inches longer than the long side.

Suppose the length of the long side is x

Short side is [tex]x-8[/tex]

hypotenuse is [tex]x+8[/tex]

using Pythagoras theorem

[tex]\Rightarrow \left( x-8\right)^2+\left( x\right)^2=\left( x+8\right)^2\\\Rightarrow x^2+64-16x+x^2=x^2+64+16x\\\Rightarrow x^2-32x=0\\\Rightarrow x\left( x-32\right)=0\\\Rightarrow x=0\ \text{or}\ 32[/tex]

Neglecting 0 as length cannot be zero

Shorter side is [tex]32-8=24\ in.[/tex]

long side [tex]x=32\ in.[/tex]

hypotenuse [tex]32+8=40\ in.[/tex]

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given

[tex]\frac{20}{24}[/tex] ← divide numerator/ denominator by 4 ( the LCM of 20 and 24 )

= [tex]\frac{5}{6}[/tex] ← in simplest form

Answer:

To graph the quadratic function f(x) = -5x^2 - 2, we can use the parabola tool.

First, let's plot the vertex of the parabola. The vertex is the highest or lowest point on the graph of a parabola, and it is located at the point (h, k), where h is the value of the x-coordinate and k is the value of the y-coordinate.

For the quadratic function f(x) = -5x^2 - 2, the vertex is located at the point (0, -2).

Next, we can use the parabola tool to draw the graph of the quadratic function. To do this, we need to set the value of a, b, and c in the equation y = a(x - h)^2 + k. For the quadratic function f(x) = -5x^2 - 2, the values of a, b, and c are -5, 0, and -2, respectively.

Therefore, the equation of the graph of the quadratic function f(x) = -5x^2 - 2 is y = -5(x - 0)^2 - 2.

Using the parabola tool, we can draw the graph of the quadratic function by plotting several points on the graph and connecting them with a smooth curve.

The graph of the quadratic function f(x) = -5x^2 - 2 is a downward-facing parabola with its vertex at the point (0, -2). The graph opens downward because the value of a is negative. The parabola is symmetrical about the y-axis because the value of h is 0. The graph passes through the y-intercept (0, -2) because the value of k is -2.

Step-by-step explanation:

Answer:

$220

Step-by-step explanation:

first let's make the $12 bracelets as Type1 and the $8 bracelets as Type2,

then we calculate the amount she made by selling each type.

Eq.1 : No. of Type1 bracelets Selena made = 9

         Amount she sold them for = $12

         Amount she made by selling them = 9*12

                                                                                   = $108

Eq.2 : No. of Type2 bracelets Selena made = 14

          Amount she sold them for = $8

          Amount she made by selling them = 14*8

                                                                               = $112

Now we calculate the Total Amount she made

we add both of the amounts

$108 + $112

= $220

Hope this helps :)

Two graph functions can be compared by analyzing their shape, direction, and relative position.

To compare two graph functions, one must look at the overall shape of the graphs, which can be either linear, quadratic, cubic, or some other shape. The direction of the graph, whether it's increasing or decreasing, should also be considered. The relative position of the graph, including the x and y intercepts, as well as any asymptotes, should also be considered.

Additionally, it's important to examine the domain and range of the function, which are the set of input values and output values that the function can produce, respectively. By comparing these different aspects of the graph, one can determine the similarities and differences between the two functions and draw conclusions about their behavior.

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The given series is convergent and the sum S∞ is 5.555

Think about 10 - 8 - 6.4 - 5.12

If the common ratio of the series is between -1 and 1, then a geometric progression will be convergent.

the average ratio,

r = -8/10

⇒ r = -0.8

This equals 1 - 0.8 - 1.

The presented series is hence convergent.

Sum of series = S∞ = a/(1 - r)

Here, first term(a) = 10,

common ratio(r) = -0.8,

S∞ = a/(1 - r)

⇒ S∞ = 10/(1 - (-0.8))

⇒ S∞ = 10/(1 + 0.8)

⇒ S∞ = 10/1.8

⇒ S∞ = 5.555

Therefore, the given series is convergent and the sum S∞ is 5.555

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Answer:

5

Step-by-step explanation:

Using pythagoras theorem

Function Notation: another way of representing the relation between two variables, y is denoted as f(x) and x remains.

x is the input and f(x) is the output

This question is essentially asking what is the output of the function when the input is equal to 5.

[tex]f(5) = (5)^2-2(5)[/tex]

[tex]f(5) = 25-10[/tex]

[tex]f(5) = 15[/tex]

Answer:

88

Step-by-step explanation:

A straight line has 180 degrees so you would subtract 92 from 180 which gives you 88.

Answer: The answer is 88 degrees

Step-by-step explanation:

A straight line is 180 degrees by default, so just subtract the known angle from 180 (180-92=88)

Speed of the given object in centimeters per hour

= 0.23 cm / hour

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Like 1 yard = 91.44 cm

1 month = 730 hrs.

Given,

Distance covered by the object = 11 yards

Distance covered in cm = 11 × 91.44 = 1005.84 cm

Time taken to cover 11 yards = 6 months

Time taken in hours = 6 × 730 = 4380 hrs.

Speed of the object = distance covered by the object / Time taken

Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour

Hence,  in centimeters per hour,

the speed of the object is 0.23 cm / hour.

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Answer:

(-1, -5)

Step-by-step explanation:

Moving 1 to the left means moving from 0 to -1 for the x-coordinate

Moving 5 to the bottom means moving from 0 to -5 for the y-coordinate

Answer:

Last Option

Step-by-step explanation:

In a graph, there are 4 section she moved to the bottom left of the graph. She was at point (0,0) --- (aka origin).

When we move left we are going down in value, it's the same case with moving down. When we move up and right we increase in value.

In Amanda's case she moves down and left, she goes left 1 unit affecting the x-axis (-1) and she moves down affecting the y-axis(-5).

Now we haev two numbers -1 and -5.

So she is at point (-1, -5)

Answer:

C

Step-by-step explanation:

The angles at point A have to be congruent so that you have two congruent angles. and one congruent side, which give SAA.

From the image, we can see than angle B and angle D are congruent. We also know that line AC is congruent to itself since it shared between the two triangles. Since we need one more angle, that angle has to be angle A.

y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

What is linear equation ?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Because the equation y=0 has a slope of 0, the resulting graph must be a straight horizontal line. This is true for all equations with a slope of 0.

Hence , y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

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