What is the length of BC in the right triangle below?

Answer:

17.026cm2

Step-by-step explanation

b =  P - a - c - d = 25 - 4 - 12 - 7.325 = 1.675 cm then apply formula of area of trapezoid which is: A = (a + b) * h / 2 = (4 + 1.675) * 6 / 2 = 17.026 cm2.  boom there is your answer.

Area is a measure of space occupied in 2 dimensions. The area of the considered two dimensional cross section is:

When some high dimensional object is sliced by hyperplane, then the area of the intersection of the hyperplane with the object is the cross-section.

For the given case, the right rectangular pyramid sliced will be having a triangle with height same as that of the pyramid but base equal to either length or the width of the base rectangle, or the diagonal.

Thus, if we consider: L = length of base, W = width of base , D = diagonal's length of the base of the rectangular pyramid, with the height h units, then we get the cross section's area as:

Learn more about area of cross-section here:

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Answer:

Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.

Since after 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air, while after 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air, to determine who was descending at a faster average rate and what is Mel's rate of change, the following calculations must be performed:

You must subtract the difference between the two times for each person, and check which is the highest rate between the two.

Mel =

(50 - 35) / (5 - 2) = X

15/3 = X

5 = X

Victor =

(60 - 50) / (4 - 1) = X

10/3 = X

3.33 = X

Therefore, Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.

Answer:

9

Step-by-step explanation:

The mean is calculated by adding up the scores and dividing the total by the number of scores.

Answer: -2x^2 - 5x + 16 = 0

The correct answer is -2x^2 - 5x + 16 = 0.

Step-by-step explanation:

Hope this helps =)

Answer: J

Step-by-step explanation:

[tex]log_2 24 - log_2 3 = log_2 (24/3) = log_2 8 = 3[/tex]

So [tex]log_5 x = 3 -> x=125[/tex]

Answer:

j = 120 degrees   h = 142 degrees

Step-by-step explanation:

First we should solve for j since we can take the hexagon and solve for j using the equation (n - 2) times 180 divided by n. N represents the number of sides the figure has, in this case its a hexagon so there are 6 sides.

(6 - 2) times 180 = 720/6     j equals 120 degrees

Next we can begin to solve for h by noting that h and 38 degrees are supplementary angles. Therefore, h plus 38 degrees equals 180 degrees.

180 - 38 = h     h equals 142 degrees

I hope this helps you out :)

simplify - maths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc.

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[tex]\huge\red{\mid{\underline{\overline{\textbf{EQUATION}}}\mid}}[/tex]

[tex]5+3 (5) + (-4) (5)[/tex]

Follow our PEMDAS rule

[tex]5+3 (5) + (-4) (5)\\5+15-4\cdot5\\5+15-20\\20-20\\0[/tex]

[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]

[tex]5+3 (5) + (-4) (5)\:\:\:\:simplified\:=0[/tex]

Answer:

2

Step-by-step explanation:

Apply Difference of Two Squares formula: [tex]\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]:

[tex]\implies (3+\sqrt{7} )(3-\sqrt{7} )=3^2-(\sqrt{7} )^2[/tex]

                                   [tex]=9 - 7[/tex]

                                   [tex]=2[/tex]

Answer:

-5/6

Step-by-step explanation:

To figure out which one is greater, we need to convert them so they have a common denominator:

You can do this two ways, because 6 is a multiple of 3, we can just multiply the second fraction by 2:

[tex]\frac{-4}{3} \\[/tex] x 2 = [tex]\frac{-8}{6} \\[/tex]

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

The second way is multiplying both the fractions so they have a common denominator.

[tex]\frac{-5}{6} = \frac{-15}{18}[/tex]

[tex]\frac{-4}{3} = \frac{-24}{18}[/tex]

Because the numbers are negative, -15 is the greater number.

Therefore, [tex]\frac{-5}{6}[/tex] is the greater fraction.

20 minutes 60minutes ÷ 30miles = 20minutes

The baker has initially made 24 muffins.

Given is that a baker bakes muffins to sell at the local coffee shop for $3 each.

The expression that represents the money earned -

C(x) = 3(4x + 24)

In this equation : [x] represents the number of batches. Total muffins left to bake : 4[x]. Remaining muffins that were already made were are 24.

Therefore, the baker has initially made 24 muffins.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Answer:

Step-by-step explanation:

Because x=5y-4 you can substitute 5y-4 into the x in the other equation. This makes 5(5y-4) + 4y = 38. When simplified it gives 25y -20 +4y = 38. Move like terms to each side to get 29y = 58 and get y=2. Then you can substitute 2 into the y in either equation to find x. I will do x=5(2)-4 to get x=6. So x=6 and y=2

Answer:

an=−5+7n

Step-by-step explanation:

I took the same quiz, there is a screenshot provided with the correct answer.

Answer: 4.

Step-by-step explanation:

Answer:

I don't know the answer 1+1=2

Step-by-step explanation:

2=22+2

Answer:

40 units

Step-by-step explanation:

The formula for the perimeter of a square is P= 4s

s= 10 units

so P= 4 x 10

so P= 40 unites

Answer:

Perimeter=40 units

Step-by-step explanation:

[tex]Solution,\\\\Length(l)=10units\\\\Now,\\\\Perimeter=4l\\\\Perimeter=4*10units\\\\Perimeter=40units[/tex]

Answer:

No

Step-by-step explanation:

Add two sides together and see if it is greater than the third. (You have to do this with all possible combinations)

5 + 14 > 19

19 > 19

No, it isn't a triangle

14 + 19 > 5

23 > 5

19 + 5 > 14

24 > 14

Answer:

Jo's drink will have a stronger pineapple taste

Step-by-step explanation:

Jo's drink will have a stronger pineapple taste. Because it has more pineapple juice content.

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

It is given that, the recipe for fruit punch calls for 3 liters of orange juice and 2 liters of pineapple juice. jo creates a drink by mixing 4 liters of orange juice with 3 liters of pineapple juice.

The recipe will have a stronger pineapple taste totally depending upon the volume of the pineapple juice.

Since Jo juice contains more pineapple juice content. it will have a stronger pineapple taste.

Thus, Jo's drink will have a stronger pineapple taste. Because it has more pineapple juice content.

Learn more about the density here:

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Answer:

h = 11

Step-by-step explanation:

to find h

5² + h² = 12²

25 + h² = 144

h² = 144 - 25

h² = 119

h = 11

Answer:

y=-2x-2.5

Step-by-step explanation:

The inverse of a number is the negative number.

Answer:

5.8

Step-by-step explanation:

[tex] \sqrt{ {5}^{2} } + \sqrt( { - 3}^{2} )[/tex]

[tex] \sqrt{25 + 9} [/tex]

[tex] \sqrt{34} [/tex]

5?8

Answer:

50*

Step-by-step explanation:

Answer:

x-3

Step-by-step explanation:

x (x-3) (x^2-3x+4)

ㅇㅇㅇㅇㅇㅇ

Answer:

well i cant really tell so much though

Step-by-step explanation:

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{1.45\% of 68052}}{\left( \cfrac{1.45}{100} \right)68052}\implies 986.754~\hfill \stackrel{about}{\approx 986.76}[/tex]

Answer: 4 days

Step-by-step explanation:

We can divide to find how much of a field each man can clear in one day. Since it takes 12 men 5 days to clear a field, each man can clear 1/60th of a field each day.

If we multiply 15 men by 1/60th of a field per day, we see that the 15 men can clear 1/4th of a field each day, so it would take 4 days for them to clear the entire field.