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
aksik [14]
3 years ago
10

Which expression is equivalent to ?

Mathematics
2 answers:
Aloiza [94]3 years ago
8 0

Answer: 2x^10y^12

Step-by-step explanation:

the second one.

60/30 = 2

x^20 - x^10 = x^10

y^24 - y^12 = y^12

ivann1987 [24]3 years ago
6 0

Answer:

2x Y,

Step-by-step explanation:

You might be interested in
Work out the area of abcd.<br><br> please ensure you give workings out too.
ipn [44]

Answer:

\displaystyle A_{\text{Total}}\approx45.0861\approx45.1

Step-by-step explanation:

We can use the trigonometric formula for the area of a triangle:

\displaystyle A=\frac{1}{2}ab\sin(C)

Where a and b are the side lengths, and C is the angle <em>between</em> the two side lengths.

As demonstrated by the line, ABCD is the sum of the areas of two triangles: a right triangle ABD and a scalene triangle CDB.

We will determine the area of each triangle individually and then sum their values.

Right Triangle ABD:

We can use the above area formula if we know the angle between two sides.

Looking at our triangle, we know that ∠ADB is 55 DB is 10.

So, if we can find AD, we can apply the formula.

Notice that AD is the adjacent side to ∠ADB. Also, DB is the hypotenuse.

Since this is a right triangle, we can utilize the trig ratios.

In this case, we will use cosine. Remember that cosine is the ratio of the adjacent side to the hypotenuse.

Therefore:

\displaystyle \cos(55)=\frac{AD}{10}

Solve for AD:

AD=10\cos(55)

Now, we can use the formula. We have:

\displaystyle A=\frac{1}{2}ab\sin(C)

Substituting AD for a, 10 for b, and 55 for C, we get:

\displaystyle A=\frac{1}{2}(10\cos(55))(10)\sin(55)

Simplify. Therefore, the area of the right triangle is:

A=50\cos(55)\sin(55)

We will not evaluate this, as we do not want inaccuracies in our final answer.

Scalene Triangle CDB:

We will use the same tactic as above.

We see that if we can determine CD, we can use our area formula.

First, we can determine ∠C. Since the interior angles sum to 180 in a triangle, this means that:

\begin{aligned}m \angle C+44+38&=180 \\m\angle C+82&=180 \\ m\angle C&=98\end{aligned}

Notice that we know the angle opposite to CD.

And, ∠C is opposite to BD, which measures 10.

Therefore, we can use the Law of Sines to determine CD:

\displaystyle \frac{\sin(A)}{a}=\frac{\sin(B)}{b}

Where A and B are the angles opposite to its respective sides.

So, we can substitute 98 for A, 10 for a, 38 for B, and CD for b. Therefore:

\displaystyle \frac{\sin(98)}{10}=\frac{\sin(38)}{CD}

Solve for CD. Cross-multiply:

CD\sin(98)=10\sin(38)

Divide both sides by sin(98). Hence:

\displaystyle CD=\frac{10\sin(38)}{\sin(98)}

Therefore, we can now use our area formula:

\displaystyle A=\frac{1}{2}ab\sin(C)

We will substitute 10 for a, CD for b, and 44 for C. Hence:

\displaystyle A=\frac{1}{2}(10)(\frac{10\sin(38)}{\sin(98)})\sin(44)

Simplify. So, the area of the scalene triangle is:

\displaystyle A=\frac{50\sin(38)\sin(44)}{\sin(98)}

Therefore, our total area will be given by:

\displaystyle A_{\text{Total}}=50\cos(55)\sin(55)+\frac{50\sin(38)\sin(44)}{\sin(98)}

Approximate. Use a calculator. Thus:

\displaystyle A_{\text{Total}}\approx45.0861\approx45.1

8 0
3 years ago
HALPPP FAST
Tasya [4]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which set of steps shows the solution to the equation 3y = -9?
Lisa [10]

Answer:

see below

Step-by-step explanation:

3y = -9

Divide each side by 3

3y/3 = -9/3

y = -3

8 0
3 years ago
Read 2 more answers
This model is composed of two shapes. What is the area of this figure?
mote1985 [20]
Measurements of 30 I believe yw
7 0
2 years ago
Read 2 more answers
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 14, PL = 25, and WZ = 100, find the value of c.
evablogger [386]
100=25*4, so the other side needs to be multiplied by 4. 14*4=56. it's 56.
6 0
3 years ago
Other questions:
  • M-3&gt;4? With explanation
    11·2 answers
  • The product of a number and 9 less than the number is 90. find the number.
    5·1 answer
  • What is the answer of 7/4(-4)?
    10·2 answers
  • Please help, the questions just have to be simplified
    12·2 answers
  • If it takes John 16.36 minutes to read one chapter how long will it take him to read nine chapters
    9·2 answers
  • John pays $15 per hour plus a fee of $10 to get his house cleaned.if he has to pay $160 how many hours did he get his house clea
    12·1 answer
  • I need help with this question please!
    13·2 answers
  • the volume of an isosceles right angled triangular prism is 1000 cm3 . If the length of the prism is 20 cm ,find (i) its lateral
    9·1 answer
  • Match the correct graph to the story below.
    12·2 answers
  • I NEED HELP!!<br><br> What is 3x + 4 = 28
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!