A triangular plaque has side lengths of 8 inches, 13 inches, and 15 inches.
Use Heron's Formula to find the area of the plaque.

A Triangular Plaque Has Side Lengths Of 8 Inches, 13 Inches, And 15 Inches.Use Heron's Formula To Find

Answers

Answer 1
Answer:  A) 52 square inches

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Explanation:

a = 8, b = 13, and c = 15 are the sides of the triangle

s = (a+b+c)/2 = (8+13+15)/2 = 18 is the semi-perimeter, aka half the perimeter.

Those values are then plugged into Heron's Formula below

[tex]A = \sqrt{s*(s-a)*(s-b)*(s-c)}\\\\A = \sqrt{18*(18-8)*(18-13)*(18-15)}\\\\A = \sqrt{18*(10)*(5)*(3)}\\\\A = \sqrt{2700}\\\\A = \sqrt{900*3}\\\\A = \sqrt{900}*\sqrt{3}\\\\A = 30\sqrt{3}\\\\A \approx 51.9615\\\\A \approx 52\\\\[/tex]

The triangular plaque has an area of approximately 52 square inches.


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What is the approximate volume of the composite figure 3cm radius with 14cm height? Use 22/7 for π. Round to the nearest hundredth.

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Answer:

188.57 cm^3

Step-by-step explanation:

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Answer:

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A cylindrical shoe polish tin is 10cm in diameter and 3.5cm deep
calculate the capacity of the tin in cm^3​

Answers

Answer: 274.75

Step-by-step explanation:

To find the volume of a cylinder you find the area of the base and then multiply it by the height. The base is the radius (half the diameter) squared times pi which we will use 3.14. That gets us 78.5. Then we multiply by the height to get 274.75!

Hope this helps!

The capacity/volume of the cylinder is approximately: 274.89 cm³

What is the Capacity of a Cylinder?

capacity of a cylinder = volume of cylinder = πr²h.

Given the following:

Radius (r) = 10/2 = 5 cmHeight (h) = 3.5 cm

Capacity/Volume of the cylinder = π(5²)(3.5)

Capacity/Volume of the cylinder ≈ 274.89 cm³

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what is the sum in the simplest from , 4 1/2 + 1 3/5

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Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

61 /  10

Decimal Form:

6.1  

Mixed Number Form:

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Solve the expression: x = 5, y = 8. x² - 3y =

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Answer:

x^2-3y

5^2-3*8

25-24

1

Step-by-step explanation:

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9514 1404 393

Answer:

  C.  ΔABE≅ΔDBC by SAS

Step-by-step explanation:

Only two sides are marked as congruent. So, any claim using SSS is automatically false. (SSS requires 3 corresponding sides be congruent.)

Of the claims citing SAS, the one regarding ΔABD is false. The points A, B, and D are on the same line, so do not form a triangle.

The only correct claim is that of C: ΔABE≅ΔDBC by SAS

Are the lines parallel?

Answers

No the lines are not parallel

Which of these points is on circle with a center at (0, 0) that includes the point (-1, -3)?
¿Cuál de los siguientes puntos está en el círculo con centro en (0,0) y incluye el punto (-1.-3)?
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B. (10, 10)
C (V10,0)
D(V10,10

Answers

Answer:(0,10)

Step-by-step explanation:

The points On circle with a center at (0, 0) that includes the point (-1, -3) would be (0, 10).

What is the equation of the circle with radius r units, centered at (x,y) ?

If a circle O has a radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,

then, its equation is given as:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

We have given On circle with a center at (0, 0) that includes the point (-1, -3).

So the equation form

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

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So, the other point that satisfies the equation would be (0, 10).

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Answer:

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sqrt(101)

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Step-by-step explanation:

10 pi is approximately 10 * 3.14 = 31.4

.998543 is less than 1

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sqrt(101) is a little more than sqrt(100)  which is 10

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9.92749

sqrt(101)

10 pi

Answer:

.998543

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sqrt(101)

10 pi

Step-by-step explanation:

10 pi is approximately 10 * 3.14 = 31.4

.998543 is less than 1

9.927

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Smallest .998543

9.92749

sqrt(101)

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Answer:

x = 30º

Step-by-step explanation:

This answer requires trigonometry, specifically, the cosine function. This is because we are given the length of the side adjacent to x and the length of the hypotenuse.

If you recall:

[tex]cos(x )= \frac{adjacent}{hypotenuse}[/tex]

Therefore,

[tex]cos(x) = \frac{13}{35}[/tex]

Now, we must use the inverse cosine function on a calculator to figure out the value of x.

[tex]cos^{-1}(\frac{13}{15}) = 29.93[/tex]

Now, we must round it to the nearest whole number, so x = 30º.

What is the relation between confidence level (c) and significance level (a)?

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Answer:

The confidence level is equivalent to 1 – the alpha level. So, if your significance level is 0.05, the corresponding confidence level is 95%. If the P value is less than your significance (alpha) level, the hypothesis test is statistically significant.

Answer:

The confidence level is equivalent to 1 – the alpha level. So, if your significance level is 0.05, the corresponding confidence level is 95%. If the P value is less than your significance (alpha) level, the hypothesis test is statistically significant.

Step-by-step explanation:

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Answer:

B: y = -2x + 5

Step-by-step explanation:

-2 - 1 = -3

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Answers

Answer:The answer is 1/2 or you can do 3/6 if it doesnt need to be simplified

Step-by-step explanation:

Probability is the chance of an event to occur from a number of possible outcomes.

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What is probability?

It is the chance of an event to occur from a number of possible outcomes.

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Probability = Number of required events / Total number of outcomes

We have,

Total number of marbles in the bag = 6

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Number of yellow marbles = 1

The number of blue marbles = 2

The probability that a marble chooses is red:

= Number of red marbles / total number of marbles

= 3 / 6

= 1 / 2

Thus,

The probability that a marble chosen at random is red is 1/2.

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Can someone please help me with this fast?

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Answer:

If C and D are supplementary angles then C is 65 and D is 115.

Answer:

65

Step-by-step explanation:

first, find x

180=12x-7+16x+19

180=12x+16x-7+19

180+7-19=28x

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6=x

Now plug in 6 for x

C=12x-7

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The answer is D,I might be wrong tho

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Answers

Answer:

p = -5

Step-by-step explanation:

7(p + 1) = 2(3p + 1)

Distribute on both sides.

7p + 7 = 6p + 2

Subtract 6p from both sides.

p + 7 = 2

Subtract 7 from both sides.

p = -5

Answer:

p = -5

Step-by-step explanation:

7(p + 1) = 2(3p + 1)

Distribute

7p +7 = 6p +2

Subtract 6p from each side

7p +7 -6p = 6p+2-6p

p+7 = 2

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Which choice is equivalent to the product below when x is greater than or equal to 0

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Answer: I believe it is C.

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Answers

Answer:

-x^2 +x +2

Step-by-step explanation:

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(f - g)(x) = 4 -x^2 - (2-x)

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Anna has 85 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?
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Answer:

17 Dimes 68 Pennies

Step-by-step explanation:

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In What quadrant is the point (-5, -5) located

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Answer:

Since both values are negative, it can be found in the 3rd quadrant

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Bob earns $60,000 a year at an accounting firm. Each year, he receives a raise. Bob has determined that the probability that he receives a 10% raise is 0.7, the probability that he earns a 3% raise is 0.2, and the probability that he earns a 2% raise is 0.1.A competing company has offered Bob a similar position for $65,000 a year. Bob wonders if he should take the new job or take his chances with his current jo

Answers

Answer:

He should keep his job.

Step-by-step explanation:

We know that there is a 70% chance that he willend up getting a 10% raise. A 10% raise will allow him to make 66000 dolllars, which is 1000 more than getting a new job.

There is a 30% chance that he will make about 3,100 dollars less than a new job. However, 30% is much lower than 70%, so this probably wont be the outcome. And over future years, if this remains constant, he will end up still making more money staying wiht his job.

Hope this helps!

11 letters to friends each month for x months in a row. write an expression to show the total number of letters written.

Answers

Answer:

11x

Step-by-step explanation:

Each month, 11 letters are written over the course of x months, to find the total, we need to multiply the two:

11 * x

11x

I’m pretty sure it’s 11x but I’m not totally sure but that’s what I would put sorry if it’s wrong!

In which of the following situations should the t distribution be used? a. When the sample standard deviation is used to estimate the population standard deviation b. Only when the population mean is 0 c. When the sample size is less than 30 d. When the population is not normally distributed

Answers

Answer:

a. When the sample standard deviation is used to estimate the population standard deviation

Step-by-step explanation:

T or Z distribution:

If we have the standard deviation for the sample, we use the t-distribution.

If we have the standard deviation for the population, we use the z-distribution.

Thus, the correct answer for this question is given by option a.

The question is in the picture. (Alegbra 1)

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OPTION D = 2q is right answer

What is the median of the following numbers: 15, 51, 35, 25, 58, 33, 64, 43, 29, 14, 13, 11, 4, 10?

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Answer:

(25+29)/2 = 27

Step-by-step explanation:

Answer:25+29=54

54/2=27

Step-by-step explanation:

4, 10, 11, 13, 14, 15, 25, 29, 33, 35, 43, 51, 58, 64

25+29=54

54/2=27

Answer: 27

Can someone please help?

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Answer:

The last one: 25%

Step-by-step explanation:

Answer:

25% because 25 is 1/4 of 100

Step-by-step explanation:

Frank lost 5 points for not completing his homework, 3 points for talking, and 2 points for chewing gum. This happened 4 days in a row. Which expression represents the number of points Frank lost.

Answers

Answer:

(5+3+2) x4

Step-by-step explanation:

The answer would be 40

Here's why:

1. (5+3+2)= 10

2. 10x4

3. 40

The expression represents the number of points Frank lost would be (5+3+2) x 4.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Frank lost 5 points for not completing his homework, 3 points for talking, and 2 points for chewing gum.

This happened 4 days in a row.

The expression represents the number of points Frank lost.

(5+3+2) x 4

Here,

(5+3+2)= 10

= 10x4

= 40

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