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
yarga [219]
3 years ago
5

A right ttiangle has one angle that measure 23°. The adjacent leg measures 27.6cm and the hypotenuse measures 30cm. What is the

approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2 bh
Mathematics
1 answer:
ipn [44]3 years ago
6 0

The problem is overdetermined; we'll assume b = 30 cos <span>23° and ignore the 27.6 approximation.

That leaves h = 30 sin </span><span> 23° so 
</span>
A = \frac 1 2 bh = \frac 1 2 30^2 \cos 23^\circ \sin 23^\circ = 15^2\sin46^\circ=161.85<span>
161.9 rounded

</span>
You might be interested in
A container is filled with 56 litres of pinapple juice. 8 litres of pinapple juice are extracted and the container is refilled w
malfutka [58]

 If it's refilled with 8 litres of mango juice, the resulting mixture will be 8 parts mango and 48 parts pine, or 1 part mango, 6 parts pine. (AKA, roughly 16.67% mango juice).

Now, if they take out 8 litres from that mixture, that 8 litres will also be 1 part mango and 6 parts pine, leaving you with 48 litres of 1 part mango, 6 parts pine.

Hang on, because it gets tricky from here. We're going to use a formula here:

<---- where there are q[1] litres of p[1] % that we start with, and we add q[2] litres of p[2] % mix, and so we'll end up with a mixture that is (q[1] + q[2]) liters big that will have a different percent mixture p[3] from what we started.


We started with 48 liters that is 16.67% mango. So <---- change the percent to a decimal.

We're going to add 8 liters of pure mango juice, so <--- The 100% mango juice is the 1 in decimal.

As total mix, we'll have litres which is 48 + 8 = 56, BUT the percentage mango of the new mixture will surely be different.

So our equation so far is: . All we have to do is solve for .

<---- simplified

<--- roughly 28.57% mango juice or mango juice. Since mango is 2/7 of the mixture, the other 5/7 is pine. The problem asked for the ratio between mango to pine, and that would be the 2:5.
6 0
3 years ago
A factory wants to fill a conical storage tank with sand. The tank has a height of 19.5 meters and a diameter of 30.7 meters
taurus [48]

9514 1404 393

Answer:

  4,811.49 m³

Step-by-step explanation:

The volume of a cone is computed using the formula ...

  V = (1/3)πr²h

Using the given numbers, we find the volume to be ...

  V = (1/3)π(15.35 m)²(19.5 m) = 1531.54625π m³ ≈ 4,811.49 m³

_____

<em>Additional comment</em>

If you inappropriately use 3.14 for π, you get a volume of 4809.06 m³. That 3-digit value is inappropriate because a value accurate to 6 significant figures or more is needed to support an answer accurate to 6 significant figures.

8 0
3 years ago
2.6y-4/15y+7/6y=7/3y
ohaa [14]

Answer:

y=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2.6y-4/15y+7/6y=7/3y

2.6y-(-)4/15y+7/6y=7/3y

(2.6y-4/15y+7/6y)=7/3y (combine like terms)

7/2y = 7/3y

Step 2: Subtract 7/3y from both sides.

7/2y - 7/3y =  7/3y - 7/3y

7/6y = 0

Step 3: Multiply both sides by 6/7

6/7 . 7/6y = 6/7 . 0

y = 0

3 0
3 years ago
a 6lb watermelon costs $2.40 before a 30% discount. Which equation would allow you to find the discounted price of the watermelo
ycow [4]
The answer should be 1.68
5 0
4 years ago
Is the number 143 a multiple of three? explain how you know
natka813 [3]
No because you can't divide it by three.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Given the trinomial 2x2 + 4x + 4, predict the type of solutions.
    14·2 answers
  • I can't seem to figure out what numbers to use to solve this equation.
    8·1 answer
  • −3x−6+(−1) can someone please help me with this equation
    12·1 answer
  • Can someone help me with this question please.
    5·1 answer
  • WILL MARK BRAINLIST!!!!!<br><br> 4 |a| +8−a if a=−2
    15·1 answer
  • A regular pentagon can intersect in:
    9·1 answer
  • For the following equation find y if x=3.<br> Y=6x-10
    9·2 answers
  • What is the 75th percentile?
    14·2 answers
  • Clare mixes 2 1/2 cups of water with 1/3 cups of orange juice
    8·2 answers
  • Explain how the diagram can help find the area of a circle
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!