Acellus
Find the indicated side of the
triangle.
b
a
30°
12
12
[?]
a
Enter

AcellusFind The Indicated Side Of Thetriangle.ba301212[?]aEnter

Answers

Answer 1

Answer:

a = [tex]\frac{12}{\sqrt{3} }[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

a × [tex]\sqrt{3}[/tex] = 12 ( divide both sides by [tex]\sqrt{3}[/tex] )

a = [tex]\frac{12}{\sqrt{3} }[/tex]


Related Questions

The expressions p(200-5p)and 200p-5p2define the same function. The function models the revenue a school would earn from selling raffle tickets at p dollars each.

At what price or prices would the school collect $0 revenue from raffle sales? Explain or show your reasoning.

The school staff noticed that there are two ticket prices that would both result in a revenue of $500. How would you find out what those two prices are?

I really have no idea. If anyone could help that would be great!

Answers

a. Prices at $0 revenue

The prices which the school would collect $0 revenue are $0 and $ 40 respectively.

Since the revenue R(p) = p(200 - 5p).

The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.

So, p(200 - 5p) = 0

p = 0 or 200 - 5p = 0

p = 0 or 200 = 5p

p = 0 or p = 200/5 = 4

So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.

b. Prices at $500 revenue

The two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.

So, p(200 - 5p) = 500

200p - 5p² = 500

Re-arranging, we have

5p² - 200p + 500 = 0

Dividing through by 5, we have

p² - 40p + 100 = 0

Using the quadratic formula, we find the value of p.

So,

[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]

So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

Learn more about revenue here:

https://brainly.com/question/25623677

Neil got a hit 9 of the 11 times he batted in the softball tournament. Maggie got a hit 18 of the 22 times she batted in the tournament. Did they have the same batting records?

Answers

Answer:

they have the same batting record

Step-by-step explanation:

Batting record for each :

Neil :

9 /11 = 0.8181

Maggie :

18 /22 = 0.8181

From here we see that they both have the same proportion of hits :

Hence they have the same batting record

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Answers

The answer you are looking for is C

Solve for :
92 + 210
48 + 140
Rep

Answers

48+140=188

92+210=302

if you at all it equals 490

Ms. kelly has a field of sweet corn with one outside row measuring 540 feet and the other 600 feet. It measures 420 feet across the rows. How many acres of sweet corn are in this field?​

Answers

Answer: .

Step-by-step explanation:

HELP ASAP!!!!!!! PLEASEEEEE

Answers

Answer:

B

Step-by-step explanation:

This asks for data from multiple people, and it not just a yes or no question

B the answer is b your welcome



Lella is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Suppose each bag of fertilizer covers 22
square feet. How many bags will she need to cover the garden?

Answers

Answer:

Step-by-step explanation:

14ft(11ft)(b/22ft^2)=7b

She will need 7 bags of fertilizer.

78 is 65% of what number (can someone explain how to solve this?)

Answers

Answer:

120

Step-by-step explanation:

78 is 65% of what number.

Let's break down this expression.

In this case "is" means "equals" so we will use the equal sign (=)

65% can be written as 0.65 or 65/100

"of" indicates multiplication

"what number" will be represented by x.

Now, put this all together.

78 = 0.65 • x

To solve for x, divide both sides by 0.65

120 = x

This is your answer.

Check this by finding 65% of 120.

0.65 • 120 = 78

Your answer is correct.

Hope this helps!

(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how much total will he have paid after three years? ​

Answers

Answer:

The total amount that he would have paid after 3 years is $1183.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

I represents interest paid on the amount owed.

P represents the principal or initial amount owed.

R represents interest rate

T represents the duration for which the amount was owed in years.

P = $795

R = 16.25

T = 3 years

I = (795 × 16.25 × 3) ÷ 100

I = $388

Total amount that he would have paid after 3 years is $795 + $388 = $1183

The total amount that he would have paid after three years would be $1183.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

The given data as per the question

P = $795

R = 16.25

T = 3 years

Simple interest =  P × R × T

Substitute the values,

Simple interest = (795 × 16.25 / 100 × 3)

Simple interest = (795 × 0.1625 × 3)

Simple interest = $388

The total payback amount :  $795 + $388 = $1183

Therefore, the total amount that he would have paid after three years is $1183.

Learn more about the simple interest here:

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Somebody help me plzz

Answers

Answer:

60

Step-by-step explanation:

straight line =180

180-120=60

60 thats all it is ...

in the first quadrant you start at 4,6 then u move 6 units right and 5 units up

Answers

Answer:

10, 11

Step-by-step explanation:

4 plus 6 = 10

6 plus 5 = 11

Given that cos 27° = 0.891, enter the sine of a complementary angle.
sin

Answers

9514 1404 393

Answer:

  sin(63°) = 0.891

Step-by-step explanation:

The cosine of an angle is the sine of its complement. The angle with a sine of 0.891 is 90° -27° = 63°.

   sin(63°) = 0.891

Find the percentage change from
40 to 60.

Answers

Answer:

50%

thats the answer

Find the area of the composite figure below.

Answers

Answer:

96m

Step-by-step explanation:

- 6
x= -18
3
360
f(x) =
I= 36
C
4x + 73
X = -18,36
f(-18) =

Answers

Answer:

f(−18)=−8

khan academy

James studied for his test. He started studying at 3:20 p.m. and studied for 2 hours
and 15 minutes. What time did he finish studying? (SHOW WORK PLS BEST ANSWER WITH BEST EXPLANATION GETS THANKS AND BRAINLIEST!!)

Answers

Answer:

James finished studying at 5:35pm

Step-by-step explanation:

3:20+2:15=3:35

20+15=35

3+2=5

Plssssss help I need an answer

Answers

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

Step-by-step explanation:

The area of a rectangular parking lot is 5460²m.. If the length of the parking lot is 84, what is its width?

Answers

Answer: The width is 65.

Step-by-step explanation:

84 x 65 = 5460. I got 65 by spamming random numbers in the calculator until I got my answer.

Josh is going to choose a 2-digit number. What is the probability that the sum of the digits in his number will be 9? (there are 90 two digit numbers in total)

Answers

answer,,

18

27

36

45

54

63

72

81

hope my ans helps

please give brainliest to my answer

be sure to follow me

stay safe

Hey !! Can someone please help me with this??

Answers

Answer:

[tex]8^2[/tex] and 4 x 4 x 4

Step-by-step explanation:

4 to the third power, is the same as 4 x 4 x 4.

This is then equal to 64.

8 squared is also equal to 64, making it also an answer.

None of the other ones work.

Hope this helps and have a nice day!! :) :] :D

need answers asap please besties<3​

Answers

Answer:

The answer would be -19.8

Step-by-step explanation:

Hope this helps

h−6 ≤−8.4
hope you have a good day stay safe

Answers

Answer:

           h ≤ -12/5

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.4" was replaced by "(84/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :

                    h-6-(-(84/10))≤0

Step by step solution :

STEP

1

:

           42

Simplify   ——

           5

Equation at the end of step

1

:

                  42

 (h - 6) -  (0 -  ——)  ≤ 0

                  5

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

             h - 6     (h - 6) • 5

    h - 6 =  —————  =  ———————————

               1            5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(h-6) • 5 - (-42)     5h + 12

—————————————————  =  ———————

        5                5  

Equation at the end of step

2

:

 5h + 12

 ———————  ≤ 0

    5  

STEP

3

:

3.1    Multiply both sides by  5

3.2    Divide both sides by  5  

     h+(12/5)  ≤ 0

Solve Basic Inequality :

3.3      Subtract  12/5  from both sides

           h ≤ -12/5

Inequality Plot :

3.4      Inequality plot for

        h  + 2.400  ≤  0

The value of h is less than or equal to -2.4.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

h−6 ≤−8.4

Now, add both side 6

h−6 + 6 ≤−8.4 + 6

h  ≤−2.4

Hence, the value of h is less than or equal to -2.4

Learn more about inequality here:

https://brainly.com/question/28823603

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is this the area of a this
pls help and explain

Answers

Answer:

Step-by-step explanation:

so first what you want to do is split the shape in to

Draw a line down where the 2 is.

you should have a rectangle and a triangle

then you find the area of the rectangle

Rectangle:

5 x 2 = 10m^2

After than you try to find the triangles area

the bottom of the triangle is 9m but since to split it in 2 you will now have 7m

multiple 5 times 7 and you will receive 35 then you divide that by 2 and you will have 17.5m^2

Add your two areas together and you will get 27.5m^2

please help, thank youu! :)

Answers

Answer:

false is the write answer you can write it

Answer:

false

Step-by-step explanation:

if u divide y÷x each time u won't get the same answer so I t wouldn't be proportional

9
Find the missing angle.
20"
80°
100°
50
80°
70°

Answers

Answer:

80°

Step-by-step explanation:

20°+80°+missing angle=180°

missing angle=180°-100°=80°

I NEED HELP ASAP
8-4: MathXL for School: Practice & Problem Solving
O Assignment is past due (03/12/
8.4.PS-11
Question Help
Z1 and 22 are complementary angles. The measure of Z1 is 38°
The measure of Z2 is 4x. Find the value of x. The figure is not drawn
to scale.
1
The value of x is
va
VI
(1,1)
More
Enter your answer in the answer box and then click Check Answer
All parts showing
Clear All
Check

Answers

Answer:

your answer will be x=13

Step-by-step explanation:

hope it helps.

Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)

Answers

Answer:

        y - 2 = -3(x - 1)

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = - 3

(1, 2)  ⇒    x₀ = 1,  y₀ = 2

Therefore:

y - 2 = -3(x - 1)

Help!
Solve for the vaule(s) of b: b- 4.3 > 16.1​

Answers

Answer:

b>20.4

Step-by-step explanation:

what is the cosine of 210 degrees

Answers

Answer:

-0.86602540378  is the decimal form

and the exact form is − √ 3/2  


A chess club has 24 members, of which 1 is a male and the rest are females.
What is the ratio of males to all club members?

Answers

Answer:

1:24

Step-by-step explanation:

hope this helped

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