1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pishuonlain [190]
3 years ago
8

Using the technique in the model above, find the missing sides in this 30°-60°-90° triangle.

Mathematics
2 answers:
lina2011 [118]3 years ago
7 0
For this case what you should do is use the following trigonometric relationship:
 sin (x) = C.O / h
 Where
 x: angle
 C.O: opposite leg
 h: hypotenuse
 Substituting the values we have:
 sen (60) = long / h
 sen (60) = 3 / h
 h = 3 / sin (60)
 h = 3.46
 Answer:
 h = 3.46
lubasha [3.4K]3 years ago
3 0

Answer:

\text{The length of hypotenuse and short side is }2\sqrt3 units\text{ and }\sqrt3units

Step-by-step explanation:

Given the figure

we have to find the missing sides in  30°-60°-90° triangle.

Long side=3 units

we have to find the length of short side and length of hypotenuse.

By trigonometric ratios

\cos 30^{\circ}=\frac{BC}{AC}

\frac{\sqrt3}{2}=\frac{3}{AC}

AC=3\times \frac{2}{\sqrt3}=2\sqrt3 units

\sin 30=\frac{AB}{AC}=\frac{AB}{2\sqrt3}

\frac{1}{2}=\frac{AB}{2\sqrt3}

AB=\sqrt3units

\text{The length of hypotenuse and short side is }2\sqrt3 units\text{ and }\sqrt3units

You might be interested in
Solve the following system of equations by using the provided grid: y= -x + 3, y = 3/2x - 2
GenaCL600 [577]
Y = -x + 3
y = 3/2x - 2

-x + 3 = 3/2x - 2....multiply everything by 2 to get rid of the fraction
-2x + 6 = 3x - 4
-2x - 3x = -4 - 6
-5x = -10
x = -10/-5
x = 2

y = -x + 3
y = -2 + 3
y = 1

solution is (2,1)
4 0
3 years ago
Find the volume of each cylinder. Use 3.14 for pi. Round your answer to the nearest tenth
otez555 [7]

Answer:

V ≈471.24 mm^3

Step-by-step explanation:

The formula for cylinder volume is πr^2 x h, so ((π x 25) x h). That's just 25π x 6. That is about 471.238898, which rounded is almost 471.24. Or, in terms of π, you could leave your answer as 150π mm^3

8 0
3 years ago
A small newspaper company is downsizing and has lost employers at a steady rate. twelve months ago they had 65 employees, and no
Ket [755]

Answer:

each month 3 employees were laid off.

Step-by-step explanation:

the company started with 65 employees 12 months ago, and now there are 29. 65 - 29 = 36. In 12 months, 36 employees were laid off. 36 employees divided by 12 months = 3 employees per month.

7 0
3 years ago
A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at ra
Soloha48 [4]

Answer:

P(M4\ n\ V) = 2.083\%

Step-by-step explanation:

Given

Paper = 20 slips

Word: PENNSYLVANIA

Required

Determine P(Multiple of 4 and V)

The sample size of the 20 slips is:

n(S) = 20

The outcomes of multiples of 4 is:

M4= \{4,8,12,16,20\}

n(M4) = 5

So, the probability of multiples of 4 is:

Pr(M4) = \frac{5}{20}

Pr(M4) = \frac{1}{4}

The sample size of PENNSYLVANIA is:

n(S) = 12

The outcome of V is:

n(V) = 1

So, the probability of V is:

P(V) = \frac{1}{12}

So, the required probability is: P(Multiple of 4 and V)

P(M4\ n\ V) = P(M4) * P(V)

P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}

P(M4\ n\ V) = \frac{1}{48}

P(M4\ n\ V) = 0.02083

Express as percentage

P(M4\ n\ V) = 0.02083 * 100\%

P(M4\ n\ V) = 2.083\%

4 0
3 years ago
Simplify the inequality:<br> -12.4x+8x &gt; -0.4x-5.2-2.7
ad-work [718]

Answer:

<h3><u>x < 1.975</u></h3>

Explanation:

-12.4x + 8x > -0.4x - 5.2 - 2.7

<em>Add similar elements: -12.4x + 8x = -4.4x</em>

-4.4x > -0.4x - 5.2 - 2.7

<em>Subtract -5.2 - 2.7: -7.9</em>

-4.4x > -0.4x - 7.9

<em>Multiply both sides by 10</em>

-4.4x · 10 > -0.4x - 7.9 · 10

<em>Refine</em>

-44x > -4x - 79

<em>Add 4x to both sides</em>

-44x + 4x > -4x - 79 + 4x

<em>Simplify</em>

-40x > -79

<em>Multiply both sides by -1 (Reverse the inequality)</em>

-40x (-1) > -79 (-1)

<em>Simplify</em>

40x < 79

Divide both sides by 40

40x / 40 < 79 / 40

<em>Simplify</em>

x < ⁷⁹⁄₄₀

<em>Turn the fraction into a decimal</em>

<h3><u>x < 1.975</u></h3>
8 0
3 years ago
Other questions:
  • What is 66 1/2 % of 240 kg
    14·1 answer
  • I am 5 more than 6 times 10?what number am i?
    10·1 answer
  • Mark as brainliest
    14·2 answers
  • Solve for h in the mathematical formula V=pi r^(2)h
    9·1 answer
  • Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
    8·2 answers
  • What is thr sum of the numbers in the first column ​
    10·2 answers
  • Identify the fractions as proper, improper, or mixed; however, if the fraction is equivalent to one, indicate so. 3 1/8
    6·1 answer
  • 1. Consider the following word arrangements:
    13·1 answer
  • 27.893m in _______m_____dm______cm_____mm​
    11·1 answer
  • I need help with this
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!