SKILL
Given that one side of an equilateral triangle is 16, what is the area of the triangle?

Answers

Answer 1

Answer:

approximately 55.43 or [tex]4\sqrt{192}[/tex]

Step-by-step explanation:

1) draw line down middle of said triangle and split it in half

2) since the area of the triangle is 1/2 b * h we can solve

3) we know that the base is 8 (16 split in 1/2)

4) use the Pythagorean theorem (a^2 +b^2 = c^2) to solve for the height

5) a= 8 b= ? c= 16

6) 16^2=256 8^2= 64  256-64=b^2

7) b=[tex]\sqrt{192}[/tex]

8) [tex]\frac{1}{2} *\sqrt{192} *8= 4\sqrt{192}[/tex] or approximately 55.43

You can check by substituting the numbers back into the Pythagorean theorem and see if they match up


Related Questions

Please help asap, no rocky!

Answers

No, because it has a constant rate of change

I need help ASAP PLEASE SOLVE

Answers

Answer:

the second one has the grater y nter...

Step-by-step explanation:

Place each number in its correct location on the numberline.

Answers

Answer:

Step-by-step explanation:

-8.5

-|4.5|

-3.5

-1.5

|-3.5|

4.5

|5.5|

A mathematical phrase containing at least one variable.

Answers

An expression is a mathematical phrase containing at least one variable :)

You have space in your garden for 50 small flowering bulbs. Bulb A cost $0.45 each and
bulb B cost $0.65 each. Your budget allows you to spend $26.90 on bulbs. How many of bulb A and how many of bulb B can you buy?
_______number of bulb A
_______number of bulb B

Answers

Answer:

A = 28

B = 22

Step-by-step explanation:

All money will be recorded in pennies

Let A = the 45 Bulb

Let B = the 65 bulb

A + B = 50                                  (1)

45A + 65B = 2690                    (2)

Multiply (1) by   45 and subtract that from (2)

45A + 65B = 2690

45A + 45B = 2250        Subtract

          20B =   440

              B = 22

A + B = 50

A + 22 = 50

A = 50 - 22

B = 28

Check

45*28 + 22* 65  =

1260 +  1430 = 2690

What is the least common multiple of the numbers 3 16 and 20 

Answers

Answer:

240

Step-by-step explanation:

See photo below

Credit goes to: calculatorsoup.com

Determine if the two triangles are congruent. If they are, state how you know.

Answers

Answer:

SAS

Step-by-step explanation:

It tells you that there are two sides equal, and they both have a 90 degree angle. This means that they are congruent because of side, angle, side, or SAS.

Hope this is helpful!!

they are congruent , one is just turned a little

Find the midpoint of the segment with the following endpoints.
(8,9) and (4,3)

Answers

Answer:

The midpoint of the segment is (6,6).

Step-by-step explanation:

To solve this problem, we are going to use the midpoint formula, which is shown below:

( (x1+x2)/2, (y1+y2)/2 )

If we plug in the values that we are given in the question, we get:

( (8+4)/2, (9+3)/2)

We should add together the two numbers in the numerator of each fraction to begin the simplification process:

(12/2, 12/2)

Now, we can perform the division to find our final answer.

(6,6)

Therefore, the correct answer is (6,6).

Hope this helps!

Calculate the sum of the first 100 numbers. (Try to find the shortest way.)

Answers

Answer:

The number series 1, 2, 3, 4, . . . . , 99, 100. Therefore, 5,050 is the sum of positive integers upto 100.

Step-by-step explanation:

The sum of the numbers 1-100 would be equal to the number of pairs (50) multiplied by the sum of each pair (101), or 50 x 101 = 5,050.

A school newspaper reporter decides to randomly survey 20 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 24% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.Part (a)In words, define the Random Variable X.the types of festivities offered at the schoolthe number of students that will attend Tet the number of students in the schoolthe school newspaperCorrect: Your answer is correct.Correct! This is a numerical measure of the outcome of the survey.Part (b)List the values that X may take on.X

Answers

let me think real quick

find the slope between the given two points (4, -3) and (8, -3)

Answers

The slope of the giving point is -3/2

-3
0
-1
4
2
7
4
What is the range

Answers

Answer:

10

Step-by-step explanation:

total number count:7

Lowest #: -3

Highest #: 7

Range: 10

<3

Red

16 cm
12 cm
radius of cylinder = 5 cm
radius of cone = 4 cm
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder
as shown, what is the volume of the alr space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of pl'.)

Answers

The answer is 920.07cm^3 !

Find the difference. 5wx²-2wx²
a. 3
b 2wx²
c 3wx²
d 4wx²​

Answers

A.3 because if you subtract the values you get 3

Answer:

3x²

Step-by-step explanation:

2p+22q2-p someone help please

Answers

Answer:

2p+22q2-p = 22q^2+p

Answer:

22q2+p

Step-by-step explanation:

simplify step-by-step.

2p+22q2−p

=2p+22q2+−p

Combine Like Terms:

=2p+22q2+−p

=(22q2)+(2p+−p)

=22q2+p

Answer:

=22q2+p

3. In the same opera theater personal balcony sections with three rows of seating are being mapped as well. In
these sections there must be an odd number of seats in each row and each row must have two more seats
than the one before it. The last stipulation is that the front row must have one quarter the total seats in the
back 2 rows combined. How many seats will be in each row?

Answers

Answer:

Number of seats in first row = 2

Number of seats in 2nd row = 4

Number of seats in 3rd row = 6

Step-by-step explanation:

Let's say number of seats in first row is x.

Now we are told that each row must have two more seats

than the one before it.

Thus, the remaining 2 rows have;

(x + 2) and (x + 4) seats respectively.

We are told that that the front row must have one quarter the total seats in the

back 2 rows combined.

Thus;

x = ¼((x + 2) + (x + 4))

Multiply both sides by 4 to give;

4x = x + 2 + x + 4

4x = 2x + 4

4x - 2x = 4

2x = 4

x = 4/2

x = 2

Thus;

Number of seats in first row = x = 2

Number of seats in 2nd row = (x + 2) = 2 + 2 = 4

Number of seats in 3rd row = (x + 4) = 2 + 4 = 6

Answer:

3, 5, and 7

Explanation:

look at photo attached

You earn $35 for washing 7 cars. You earn $45. How many cars did you wash?

Answers

Answer:

she washed 9 cars

Step-by-step explanation:

5×7 is 35

9×5 is 45

Answer:

You washed 9 cars

Step-by-step explanation:

35/7 is 5 and 45/5 is 9 therefore if you get $5 per car washed and you earn $45 you have washed 9 cars total

Math help guys please

Answers

Answer:

- 4 / 9

Step-by-step explanation:

..........................

Rewrite the expression using an exponent 9x9x9=

Answers

Answer:

9³ or 9^3

Step-by-step explanation:

Exponents pertains to how many times you multiply the base number to itself.

So for this, 9 is being multiplied 3 times to itself, thus it is 9 cubed or 9 raised to the power of three.

Answer:

9 to the 3rd power:)

Step-by-step explanation:

Yuppietown has two food stores, La Boulangerie, which sells bread, and La Fromagerie, which sells cheese. It costs $1 to make a loaf of bread and $2 to make a pound of cheese. If La Boulangerie’s price is P1 dollars per loaf of bread and La Fromagerie’s price is P2 dollars per pound of cheese, their respective weekly sales, Q1 thousand loaves of bread and Q2 thousand pounds of cheese, are given by the following equations: Q1 = 14 − P1 − 0.5P2 and Q2 = 19 − 0.5P1 − P2. (a) For each store, write its profit as a function of P1 and P2. Then find their best-response

Answers

Answer:

Step-by-step explanation:

Given that:

Q1 = 14 − P1 − 0.5P2

Q2 = 19 − 0.5P1 − P2

Recall that:

Profit = Total revenue - Total cost

π₁ = P₁Q₁ MCQ₁

π₁ = P₁(14 - P₁ - 0.5P₂) - Q₁

π₁ = 14P₁- P₁² - 0.5 P₁P₂ - 14 + P₁ + 0.5P₂

π₁ = 15P₁ - P₁² - 0.5P₁P₂ + 0.5P₂ - 14

π₂ = P₂ (19 - 0.5P₁ - P₂) - 2(19 - 0.5P₁ - P₂)

π₂ = 19P₁ - 0.5P₁P₂ - P₂² - 38 + P₁ + 2P₂

π₂ = 21P₂ - P₂² - 0.5 P₁ P₂ + P₁ - 38

The profit functions are π₁  & π₂

The best-response function from firm 1  is;

π₁ = 15P₁ - P₁² - 0.5P₁P₂ + 0.5P₂ - 14

[tex]\mathbf{\dfrac{\partial \pi_1}{\partial P_1}= 15 - 2P_1 -0.5P_2 =0}[/tex]

[tex]\mathbf{P_1= \dfrac{15-0.5P_2}{2}}[/tex]

The best-response function from firm 2  is;

π₂ = 21P₂ - P₂² - 0.5 P₁ P₂ + P₁ - 38

[tex]\mathbf{\dfrac{\partial \pi_2}{\partial P_2}= 21 - 2P_2 -0.5P_1 =0}[/tex]

[tex]\mathbf{P_2= \dfrac{21-0.5P_1}{2}}[/tex]

Here we must find the profit for each one of the two stores.

For La Boulangerie the profit is: (14 − P1 − 0.5*P2)*(P1 - $1)For La Fromagerie the profit is: (19 − 0.5P1 − P2)*(P2 - $2).

Remember that profit is defined as the difference between the revenue and the cost.

For La Boulangerie we know that they sell Q1 thousand loaves. Each loaf costs $1. Each loaf is sold by P1

Then the profit is just:

P = Q1*(P1 - $1) = (14 − P1 − 0.5*P2)*(P1 - $1)

Which is already written only in terms of P1 and P2.

Similarly, for the other store we will get the profit:

P' = Q2*(P2 - $2) = (19 − 0.5P1 − P2)*(P2 - $2)

Now we must get their best response, which is given by deriving it with respect to the price and making it equal to zero:

For the first store we have:

dP/dP1 = $1 + 14 - 0.52*P2 - 2*P1 = 0

Now we solve it for P1:

P1 = ($1 + 14 - 0.52*P2)/2

Similarly, for the other store we have:

dP'/dP2 = 19 - 0.5*P1 - 2*P2 + $2 = 0

Solving it for P2 it gives:

P2 = (19 - 0.5*P1 + $2)/2

If you want to learn more about profit, you can read:

https://brainly.com/question/23103804

For each model below write the portion of the grid that is shaded as a percent and as a fraction. EXPLAIN.

Answers

Answer:

Just find the area of each shape .fir the first triangle it will be (0.5 x6 x6) so the answer is 18 . So the shaded part is 18 out of 100 or 18% . And so on for the trapezoid and the combined figure of square and triangle together

Step-by-step explanation:

Find the distance to the nearest tenth,between S(6,5) and T(-3,-4)

Answers

Answer:

The answer is 12.7 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(6,5) and T(-3,-4)

The distance between them is

[tex] |ST| = \sqrt{ ({6 + 3})^{2} + ({5 + 4})^{2} } \\ = \sqrt{ {9}^{2} + {9}^{2} } \\ = \sqrt{81 + 81} \\ = \sqrt{162} \\ = 9 \sqrt{2} \: \: \\ = 12.7279...[/tex]

We have the final answer as

12.7 units to the nearest tenth

Hope this helps you

In the number 0.932, the value of the 3 is

3
.3
.03
.003


Please pick one of them?

Answers

.03

in 0.932, if you take away each number except 3, you'll be left with 0.030 or .03

A car can travel 64 mlles in two hours, 128 miles in four hours, and 192 mlles In six hours. What is the constant rate of change?​

Answers

Answer:

1 hour/ 32 miles

Step-by-step explanation:

If you make a copy of a puzzle peice using a scale factor of 0.2 will the copy be larger smaller or the same size

Answers

Answer:

sMaLlEr (not sure so sorry please don't hate me dude or dudett

whats 5.4 times 3.72

Answers

Answer:

20.088

Step-by-step explanation:

hope this helps

Answer:

20.088

Step-by-step explanation:

multiply

5.4 x 3.72 = 20.088

How many groups of 2/3 are in 3/5

Answers

Answer:

There are 9/10 groups of 2/3 in 3/5.

Step-by-step explanation:

Divide 3/5 by 2/3

A 2 gallon container of laundry detergent costs $21.36. What is the price per quart?

Answers

✩ Answer:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

  [tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]

✩ Step-by-step explanation:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

✺ Turn your information into a fraction by inputting [tex]21.36[/tex] as the numerator and [tex]2[/tex] as the denominator:

[tex]\frac{21.36}{2}[/tex]

✺ Expand [tex]\frac{21.36}{2}[/tex] by multiplying both numerator and the denominator by [tex]100[/tex]:

[tex]\frac{2136}{200}[/tex]

✺ Reduce the fraction [tex]\frac{2136}{200}[/tex] to lowest terms by canceling out the common factor, [tex]8[/tex]:

[tex]\frac{267}{25}[/tex]

✺ Divide the numerator by the denominator:

[tex]\boxed{\bold{10.68}}[/tex]

[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]

             "ටᆼට"

if someone can anwser this ​

Answers

Answer:

944

Step-by-step explanation:

Answer:

944

Step-by-step explanation:

L*W*H then add them

catrina earns $19.32 an hour. If she works a 40 hour each week consistently and takes only 2 weeks off for vacation in a year. How much will her annual earnings be?​

Answers

So there’s around 52 weeks per year and she has two weeks off which is gonna mean 50 weeks for her. Since 19.32 times 40 is 772.8 that’s only a week. That times 50 is $38,640 which is basically gonna be her annual earnings.

Answer:

$38,640.00

Step-by-step explanation:

We know that Catrina earns $19.32 an hour. We also know she works 40 hours a week. So first, let's multiply 19.32 by 40 to see how much she makes a week.

19.32 × 40 = 772.80

Because of this, we now know that Catrina makes $772.80 a week. There are 52 weeks in a year. However, since she takes 2 weeks of vacation, we need to take off 2 weeks in the year. This leaves us with 50.

Finally, we multiply 772.80 and 50 to find her annual earnings:

772.80 × 50 = 38640

Therefore, her annual earnings will be $38,640.00.

Other Questions
This preface takes the form of a letter to Gates daughters, maggie and liza. How does having a specific intended audience affect Gates writing style and content?a. Gates structures the letter chronologically b. Gates adopts a paternal but sophisticated tonec. Gates uses a straightforward and simple diction d. Gates tells only stories that involve his children Which belief of the ancient Israelites was not held by the ancient Egyptians? A. it is acceptable to worship several gods at one time.B. it is important to show respect by resting one day a week.C. it is fine to worship Osiris as the god of the underworld.D. it is fine to believe pharaohs were related to gods. what does porque mean Which type of government do you think is a better form of government? Why? State and explain Gauss's law inelectrostatics and use it to determine the electric fieldintensity due to a line charge. Are x(3x) and 4x equivalent? Write a review for me :) What key social, economic, educational,and technological changes of the 1920saffected womens marriages and family life? which scenario is not shown in advertisement about alcohol The blank region is the least populated region in Texas What Gothic element is present in Edgar Allan Poes poetry and short stories? What is | -5 | ?5thank you A string measures 30 centimeters. About how many inches long is the string?A. 11B. 11.8C. 15D. 20 Given f(x) = 5x 3, solve for x when f(x) = 7. find two consecutive ODD numbers whose sum is 144. The triangles shown below must be congruent.45124512A. TrueB. False Which of the following was (NOT) a major voting and social restriction on African Americans? * Describe what led to the decline of the Safavid Empire. 3/0.8 = z/5.6Solve for z Science Plz Help!!!!!