find the area of a triangle with a base of 12 ft and a height of 2ft​

Answers

Answer 1

Answer:

1/2×2×12=12 feet

Step-by-step explanation:

1/2× base area × height


Related Questions

What are ways using coordinate geometry, that I could determine that this is a trapezoid?

Answers

One method to see it's a trapezoid is to find the slope of lines BC and AD.

The slope formula is

m = (y2-y1)/(x2-x1)

You should find that BC and AD both have the same slope (of -1), so that means the lines are parallel. That proves we have a trapezoid.

-----------------------

To prove this trapezoid is isosceles, you can use the distance formula

[tex]d = \sqrt{ \left(x_1-x_2\right)^2 + \left(y_1-y_2\right)^2}[/tex]

to find the lengths of AB and CD (the two non-parallel sides). You should find that AB = CD.

Because AB and CD are horizontal and vertical respectively, this means you can simply count out the spaces to find that AB and CD are 3 units each. For any other rotated version of this trapezoid, use the distance formula instead.

Abel bought a mini hi-fi set for S600.
He sold it to Bob at a loss of 20%.
Bob sold it to Charles and made a profit of 5%. How much did Charles pay for it?

Answers

Answer:

$504

$600* .8 = $480

$480 * 1.05 = $504

Step-by-step explanation:

Answer:

Step-by-step explanation:

Abel:

Cost price = $ 600

Loss = 20%

Selling price = [tex]\frac{100-loss}{100}*Cost \ price[/tex]

                     [tex]= \frac{(100-20)}{100}*600\\\\=\frac{80}{100}*600[/tex]

                     = 80 * 6 = $ 480

Cost price for Bob = Selling price of Abel = $ 480

Bob's cost Price = $480

Selling price = [tex]\frac{100+Profit}{100}*CP\\\\[/tex]

                     [tex]= \frac{100+5}{100}*480\\=\frac{105}{100}*480[/tex]

                      = $ 504

Amount paid by Charles =$ 504

Scarlett tried to shade all the factors of 15 on the hundred chart.What mistake did Scarlett make? A.Scarlett shaded the factors of 5 instead of the factors of 15. B.Scarlett did not make a mistake. C.Scarlett shaded the multiples instead of the factors of 15. D.Scarlett shaded 15, but factors are always less than the number.

Answers

Answer:

C. Scarlett shaded the multiples instead of the factors of 15

Step-by-step explanation:

Scarlett tried to shade all the factors of 15 on the hundred chart 15,45,75,30,60,90 What mistake did she make

She shaded 15,45,75,30,60,90 on the chart

Factors of 15 are 1, 3, 5 and 15

15, 45, 75, 30, 60, 90 are multiples of 15

That is,

15 × 1 = 15

15 × 3 = 45

15 × 5 = 75

15 × 2 = 30

15 × 4 = 60

15 × 6 = 90

Therefore Scarlett's mistake is:

C. Scarlett shaded the multiples instead of the factors of 15

5 – 2x = 3 what is x?

Answers

Answer: x=1

Step-by-step explanation:

To solve for x, we want to isoate the variable.

5-2x=3         [subtract both sides by 5]

-2x=-2          [divide both sides by -2]

x=1

Now, we know that x=1.

Answer:

X = 1

Step-by-step explanation:

Add 2x to both sides of the equation

5-2x+2x=3+2x

5+0=3+2x

Subtract 3 from both sides of the equation

5-3=3-3+2x

2=0+2x

2x=2

x=2/2

X = 1

Find sin X.
a. sin X= 4/5
b. sin X= 3/4
c. sin X= 3/5
d. sin X= 5/4

Answers

Answer:

sin X = 4/5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin X = opp side/ hypotenuse

sin X = 36/45

        = 4/5

Let's find the value of sin X,

→ opp/hyp

→ 36/45

→ 4/5

The required answer will be,

→ a. sin X= 4/5

So, option (a) is the answer.

Please help me with this

Answers

Answer:

108

Step-by-step explanation:

Surface area = total area of net

The net is made up of 2 unique shapes

A square with a side length of 6

The area of a square can be calculated by squaring the side length

6^2 = 36

The area of the square = 36

The net is also made up of 4 triangles

The triangles have a base length of 6 and a height of 6

The area of a triangle can be calculated by using the formula A = (bh) / 2

Where b = base length and h = height

If the triangles have a base length of 6 then b = 6 and if they have a height of 6 then h = 6

So A = 6*6/2

6 * 6 = 32

32/2 = 18

We then multiply that by 4 to get the area of all four triangles

18 * 4 = 72

Finally we add the areas together

72 + 36 = 108

The surface area is 108

A jar contains four yellow balls, six red balls, and eight blue balls. One ball is selected at random.
What is the probability that it is yellow?

Answers

Answer:

Step-by-step explanation:

We are trying to see how likely we are to pick a yellow ball. So out of the total number of balls, we have 4 yellow balls (numerator). The total number of balls is 18 and so the probability of picking a yellow ball is 4/18

Answer:

4/18

Step-by-step explanation:

1. you would first take all the number of colored balls and add them together

2. next, you would take the number of yellow balls/ to the total number of balls.

a + 1/a= p find a^3 + 1/a^3



(1) p^3 + 3p

(2) 3p

(3) p^3 - 3p

Answers

9514 1404 393

Answer:

  (3)  p^3 -3p

Step-by-step explanation:

  (a +1/a) = p . . . . . . . given

  (a +1/a)^3 = p^3 . . . . . . . . cube both sides

  a^3 +3a^2(1/a) +3a(1/a)^2 +(1/a)^3 = p^3 . . . . . . expand

  (a^3 +1/a^3) +3(a +1/a) = p^3 . . . . . . . . . . simplify, group

  (a^3 +1/a^3) +3p = p^3 . . . . . . . . . . substitute p for a+1/a

  (a^3 +1/a^3) = p^3 -3p . . . . . . subtract 3p from both sides

Use the properties of logarithms to prove log, 1000 = log2 10.

Answers

Given:

Consider the equation is:

[tex]\log_81000=\log_210[/tex]

To prove:

[tex]\log_81000=\log_210[/tex] by using the properties of logarithms.

Solution:

We have,

[tex]\log_81000=\log_210[/tex]

Taking left hand side (LHS), we get

[tex]LHS=\log_81000[/tex]

[tex]LHS=\dfrac{\log 1000}{\log 8}[/tex]                  [tex]\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right][/tex]

[tex]LHS=\dfrac{\log (10)^3}{\log 2^3}[/tex]

[tex]LHS=\dfrac{3\log 10}{3\log 2}[/tex]                   [tex][\because \log x^n=n\log x][/tex]

[tex]LHS=\dfrac{\log 10}{\log 2}[/tex]

[tex]LHS=\log_210[/tex]                    [tex]\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right][/tex]

[tex]LHS=RHS[/tex]

Hence proved.

What is the area of the parallelogram whose base is 50 mm long and whose height is 30 mm?

Answers

Answer:

A=1.5×10-3m² (This is the answer)

Step-by-step explanation:

Unit Conversion:

b=0.05m

h=0.03m

Solution

A=bh=0.05·0.03=1.5×10-3m²

(These here are just some add ins)

Parallelogram area = base x height
= 50mm x 30mm
= 1500mm

According to the rational root theorem what are all potential rational roots of F(x)=9x^4-2x^2-3x+4

Answers

Answer:

The answer is

[tex]( + - )(1)( \frac{1}{3} )( \frac{1}{9} )(2)( \frac{2}{3} )( \frac{2}{9} )(4)( \frac{4}{3} )( \frac{4}{9} )[/tex]

Explanation:

Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and

and the constant term (the one without a variable) must be divisible by the numerator.

In f(x), the ratio is

[tex] \frac{4}{9} [/tex]

because 4 is the constant and 9 is leading term

So our factors are

[tex] \frac{4}{9} = \frac{ + - (1)(2)(4)}{ + - (1)(3)(9)} [/tex]

If

Can someone help me with this math homework please!

Answers

Answer:

It's 2, 1, and y = 2x + 1.

Step-by-step explanation:

You can see the rise is 2 and the run is 1, making the slope = 2, and the y-intercept is 1 because that is where it crosses the y axis. Once you have the slope and y intercept, you can put it in a function, with the form being y=2x+1, the slope being the number before the x and the y-int value being after the x.

Answer:

1.  2

2. 1

3. y = 2x+1

Step-by-step explanation:

1. [tex]\frac{rise}{run}[/tex]

2. Where does the line cross the y-axis?

3. y = mx+b

m= slope

b = y-intercept

Mr. Ramadhan wants to save money to buy a house so he puts 21% of his earnings into his savings account. How much money does he save for his house?

Answers

Answer:

79%

Step-by-step explanation:

He has 100% to start off. If he puts 21% into savings you subtract that from the starting amount. 100 - 21 = 79. Therefore the answer is 79%.

Answer

well how much is his earnings?

Step-by-step explanation:

which graph shows the solutions for the linear inequality

Answers

Your answer will be either A or B, but since the sign is less than it should be A. Anytime the greater or less than sign is pointing towards less than then you’ll shade all of the bottom portion of the graph. If it’s greater than then you’d shade above. Hope this helped!

wat iz dis bul crup
i made the hardest math problem, lets see if you can figure it out
p.s. ingore the line right aside from the 7.

Answers

7×(15+7-4+(x+y×38))^3 when x = 4 and y = 9

7×(15+7-4+(4+9×38))^3

=> 7×(15+7-4+(4+342))^3

=> 7×(15+7-4+346)^3

=> 7×364^3

=> 7×48228544

=> 337599808

Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 12,7,12,9,2,15,6,6,6,1,11

Answers

Answer:

Mean: 7.9
Median: 7
Mode: 6

Step-by-step explanation:

Sort the date set!

1, 2, 6, 6, 6, 7, 9, 11, 12, 12, 15

Then start by finding the mean of the data set!

Mean: the sum of all numbers divided by the amount of numbers

Mean = 1 + 2 + 6 + 6 + 6 + 7 + 9 + 11 + 12 + 12 + 15 = 87 divided by 11 = 7.9

Median: middle number in the data set

Data set: 1, 2, 6, 6, 6, 7, 9, 11, 12, 12, 15

Median = 7 because it is in the middle

Mode: the number that is being used the most

Data set: 1, 2, 6, 6, 6, 7, 9, 11, 12, 12, 15

Mode = 6 because it is used 3 times



What is the slope-intercept form is?

Answers

Slope intercept form is y = -3/4x - 3

Which statement are true regarding undefinable terms in geometry

Answers

Answer:

A plane has an unlimited number of points.

Step-by-step explanation:

A plane has an unlimited number of points.

An exact solution represents a point's position on the coordinate plane (x, y).

Even though a point has no dimensionality, the second assertion is incorrect.

Because a linear has only one component, length, the third assertion is likewise incorrect.

a: A point has no length or width.

B: a point indicates a location in a coordinate plane.

E: a plane consists of an ifinite plans

F: a line consists of an infinite set of points.

What x-value are a solution to the system? (select EACH correct answer)​

Answers

Step-by-step explanation:

the answer is correct and helpful

x=1

А
(8x - 5) in
B
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
O 3 in.
D
04 in.
(3x + 10) in
с
O 8 in.
[Not drawn to scale]
19 in
Mark this and return
Save and Frit

Answers

Step-by-step explanation:

the answer is in the image above

The orchard just sold 72 apples, which is 12% of the total number of apples they put up for sale. How many apples did they put up for sale?

Answers

Answer:

600

Step-by-step explanation:

12%=72

1%=6

100%=600

Which rate is equivalent to $800 per 40 hours?

Answers

$800 per 40 hours can be expressed as a fraction as 800/40. We can find the unit rate by dividing the numerator and denominator by 40. 800/40 is 20, and 40/40 is 1. This means that the unit rate is $20 per hour.

A rectangular swimming pool. Measures 16m by 20m. A path of uniform width is built around the pool. If the area of path is 100m^2, find the width of the path, giving your answer correct to 2 decimal places.

Answers

Answer:

not sure but good luck

Step-by-step explanation:

:))))

reciprocal of. 0×7/11​

Answers

Answer:

it doesn't exist

Step-by-step explanation:

the expression 0×7/11​ is equivalent to 0. 1/0 isn't possible, so its reciprocal doesn't exist.

Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segment in the ratio of 5:2.
A. (-11.5, -2.5)
B. (-13, -7)
C. (-5, -15)
D. (-23, -5)

Answers

C because i said so and geah cool

Can someone help me with this math homework please!

Answers

Answer:

You have 120 bottles of Cola and 120 bottles of Sprite.

You can exchange 3 empty Cola bottles for a new bottle of Sprite.

You can exchange 4 empty Sprite bottles for a new bottle of Cola.

You can borrow empty bottles, but must return them in the end.

What is the maximal number of bottles of drink that you can drink? Prove the optimality of your result.

As this is a puzzle, please give short and clever answers rather than tedious bruteforce calculations.

Can you answer this math homework? Please!

Answers

Answer:

1. one solution (2.5, 0)

2. D. x-5/2y = 25/2

3. No solution

4. (0,2)

5. y = 4x + 5

Step-by-step explanation:

Find x in the right triangle (not drawn to scale):

Answers

can I please know where angle x is located? there isn’t an x labeled on the triangle

Find the value of a.
A. 16
B. 38.5
C. 15
D. 10

Answers

Answer:

Step-by-step explanation:

divide 60/31 55/46 the answer you multiply

help me with this math question

Answers

Answer: A. In 2015 there will be more seagulls than chickadees.

Step-by-step explanation: if you look at the chart you can see the seagull population keeps growing and the chickadee population keeps decreasing.

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