The side of an equilateral triangle is 12. Its area is


Select one:
a. 72
b. 48
c. 144
d. 36 square root 3

9514 1404 393

Answer:

  B.  15/8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

The side opposite the 62° angle is marked 15.

The side adjacent the 62° angle is marked 8.

Then the tangent ratio for 62° is ...

  tan(62°) = 15/8

Answer:

y=2(x-5)^2

Step-by-step explanation:

Vertex form:

y=a(x-p)^2+q

(p,q) = (5,0)

y=a(x-5)^2

y-intercept has coordinates (0,50) so, substitute x=0 and y= 50 in the above equation to find "a"

50=a(0-5)^2

50=25a

a=2

equation

y=2(x-5)^2

Answer:

a₁₀ = 105

Step-by-step explanation:

There is a common difference between consecutive terms , that is

33 - 24 = 42 - 33 = 51 - 42 = 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = 9 , then

a₁₀ = 24 + (9 × 9) = 24 + 81 = 105

The 10th number of the arithmetic sequence will be 105.

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

24, 33, 42, 51, ....

The first term is 24 and the common difference will be

d = 33 - 24

d = 9

Then the 10th term of the arithmetic sequence will be

a₁₀ = 24 + (10 - 1) × 9

a₁₀ = 24 + 9 × 9

a₁₀ = 24 + 81

a₁₀ = 105

The 10th number of the arithmetic sequence will be 105.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

The linear function that can be used to model this relationship is:

y = -0.27x + 23

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let P(x) represent the percentage of total  spending x years after 1950.

Since In 1950, the group spent 23% of their budget on food, hence b = 23.

Also, this has been decreasing at 0.27% per year. Hence m = -0.27.

The linear function that can be used to model this relationship is:

y = -0.27x + 23

Find out more at: https://brainly.com/question/13911928

Answer:

bt.ly/d97sjdu8 there is your answer!

Step-by-step explanation:

Answer:

x-intercept is 0

Step-by-step explanation:

(0, 24) (4,0)

(x, y)

0/4=0

Answer:

1) (4x)² - (5)²

2) (4x + 5) (4x -5)

3) Zeros of b are [tex]\frac{5}{4}[/tex] and [tex]\frac{-5}{4}[/tex] (can also be 1.25 and -1.25)

Answer:

67.72

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The area of a Trapezium is

(a+b)/2 * h where

a = top

b= bottom

h- height, distance between the two parallel sides (ie the top and bottom)

135 = (19.8+7.2)/2 *h

135=13.5h

h= 10

Answer:

58

Step-by-step explanation:

Answer:

Hello!

After reviewing the problem you have provided I have come up with the correct solution:

x= 9

Step-by-step explanation:

To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)

So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).

To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.

I then use this ratio to figure out the missing length of the larger triangle by doing:

6inches x 2.5 = 15inches.

I then inputed the 15inches into the formula of the missing side:

x+6=15

Subtracted 6 from both sides to simplify, and came up with the solution!

x=9

Let me know if this helps!

Answer:

there are 6 boys

Step-by-step explanation:

1km = 1000 m , thus 56km = 56000 m

1hr = 60 mins

1min = 60 secs, therefore 60 mins = 60*60 seconds = 3600 seconds = 1hr

so then, we know the car travels 56000 meters in 3600 secs, how many seconds will that be for 300 meters?

[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 56000&3600\\ 300&x \end{array}\implies \cfrac{56000}{300}=\cfrac{3600}{x}\implies \cfrac{560}{3}=\cfrac{3600}{x} \implies 560x=10800 \\\\\\ x = \cfrac{10800}{560}\implies x = \cfrac{135}{7}\implies x \approx 19.286\implies \stackrel{\textit{rounded up}}{x = 19}[/tex]

Answer:

67 math, 142 history

Step-by-step explanation:

lets say the number of math textbooks was x and the number of history textbooks is y. we have x+y=209 and x=y-75. we can plug the second equation into the first to get y-75+y=209. simplfy to get 2y=284 so y=142. since x=y-75, x=67

Answer:

Less then a right angle

Step-by-step explanation:

It’s can’t be equal (looks at other examples of a right angle)

It can’t be more since that would bve more then a right angle and it certainly isnt more

it can only be less

Answer:

2.7 seconds

Step-by-step explanation:

[] Temp of air: 68°F -> 20°C

[] Velocity of sound in air:

[tex]v=331.3\sqrt{1+\frac{T}{273.15} }[/tex]

[tex]v=331.3\sqrt{1+\frac{68}{273.15} }[/tex]

v ≈ 370.25 m/s

[] Last,

t = [tex]\frac{d}{v}[/tex]

t = [tex]\frac{1,372}{370.25}[/tex]

t ≈ 3.7056 ≈ 2.7 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

t = tackle score

s = sack score

t = s + 10

t + s = 36

s + 10 + s = 36

2s = 26

s = 13 points

t = 13 + 10 = 23 points

Answer:

148

Step-by-step explanation:

sorry, im not sure how to solve it, but its 148

hope this kinda helped :)

mark me brainliest :D

Work Shown:

h(y) = f(y) + g(y)

h(y) = (y^4 - 3y^3 + y - 3) + (y^3 + 7y^2 - 2)  

h(y) = y^4 - 3y^3 + y - 3 + y^3 + 7y^2 - 2  

h(y) = y^4 + (-3y^3+y^3) + 7y^2 + y + (-3 - 2)

h(y) = y^4 - 2y^3 + 7y^2 + y - 5

This is a fourth degree polynomial (aka quartic).

Step-by-step explanation:

sorry I can't find the slope of x y

but I can tell the formula

m=y2-y1/x2-x1

Answer:

x = 7.5.

The two lines on the side of the triangle in the screenshot show us that the two lines made are the same length. So the difference between the first two values, i.e. 22.3 and 14.9 is the same difference between 14.9 and x.

Step-by-step explanation:

hope this helps. . .<3

good luck!    uωu

Answer:

Step-by-step explanation:

14.9 is the middle value of x and 22.3. So your formula looks like this.

(x + 22.3) / 2 = 14.9          Multiply both sides by 2

2(x + 22.3) / 2 = 14.9*2    Remove the brackets.

x + 22.3   = 29.8              Subtract 22.3 from both sides

x = 29.8 - 22.3                

x = 7.5

Answer:  40

Step-by-step explanation:

Answer:

You need 6 lbs of red potatoes

32oz of cream cheese

43oz cream of potatoe soup

Step-by-step explanation:

Multiply all by 4

Answer:

The slope is 6, but the equation is below.

Step-by-step explanation:

Y2 - Y1/X2 - X1

36-12/4-0

Or

12-36/0-4

=6

You'll get the same answer either way.

Answer:

use reciprocal

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

28.888 / 3.14 = 9.2

9.2 / 2 = 4.6

A relation may or may not represent a function.

The costs are given as:

(a) The mapping diagram

To do this, we simply point the number of movies, to the corresponding costs, using arrows

See attachment for the mapping diagram.

(b) Is the relation a function

From the attached mapping, we can see that:

The costs of each movie are different.

This means that: the relation is a function.

(c) Describe the pattern

Notice that as the number of movies increases, the cost also increases;

However, the unit cost decreases.

Hence, the unit cost of each movie decreases as the number of movies increases.

Read more about mappings, functions and relations at:

https://brainly.com/question/8892191

Answer:

5/3 cups of flour

Step-by-step explanation:

3/1=5/x x representing the amount of water

cross multiply: 3x=5

divide by 3: x=5/3

Answer:

the answer to (-7/10)(2/5) is -7/25.

or if you need decimal form it is -0.28

Step-by-step explanation:

Answer:

E =114

Step-by-step explanation:

The two base angles are equal to 33 since it is an isoscles triangle.  We know that because the two sides are equal.   That means D and F are equal to 33. The sum of the angles of a triangle are 180.  

D+E+F = 180

33+E +33=180

66+E = 180

E = 180-66

E =114

Answer:

prayers lang po katapat nyan