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
Alenkinab [10]
2 years ago
7

32 A rectangle, a triangle, and two congruent semicircles were used to form the figure shown.

Mathematics
1 answer:
ss7ja [257]2 years ago
4 0

Answer:

67

Step-by-step explanation

I did this in my math class yesterday

You might be interested in
If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

Solving for the first derivative, we have

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63
3 0
3 years ago
Create triangle A’B’C by reflecting triangle ABC over the y-axis on the coordinate plane. What are the new coordinates of the ve
pickupchik [31]

Answer:

Step-by-step explanation:

When talking about reflection, we usually mean reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. Consider the point (x,y), if you reflect this point across the y-axis you should multiply the x-coordinate by -1, so you get:

(x,y)\rightarrow(-x,y)

For triangle ABC we have:

A(-4,2) \\ \\ B(-1,3) \\ \\ C(-1,-4)

Therefore, the reflecting points are:

A'(4,2) \\ \\ B(1,3) \\ \\ C(1,-4)

Both the original triangle and the reflected one are shown below.

8 0
3 years ago
kathy uses a 1/2 cup of milk with every bowl of her favorite cereal if there are only 3 3/5 cups of milk left, then how many bow
Murrr4er [49]

Taking a quotient, we will see that she can make 7 bowls of cereal (and some leftover milk).

<h3>How many bowls of cereal would kathy have?</h3>

We know that for each bowl, she needs 1/2 cups of milk.

And we also know that she has a total of (3 + 3/5) cups of milk.

To know how many bowls she can make, we need to take the quotient between the total that she has and the amount that she needs for each bowl:

(3 + 3/5)/(1/2)

We can rewrite the total as:

3 + 3/5 = 15/5 + 3/5 = 18/5

Then the quotient becomes:

(18/5)/(1/2) = (18/5)*2 = 36/5 = 35/5 + 1/5 = 7 + 1/5

So she can make 7 bowls of cereal (and some leftover milk).

If you want to learn more about quotients:

brainly.com/question/629998

#SPJ1

6 0
2 years ago
Find the simple interest on $500 at 6% for one year
Brrunno [24]
600+700 and that’s the answer
8 0
3 years ago
complet. each statement by rounding the number to given place value. use the number line to show your work a 53,000 rounded to t
tresset_1 [31]
50,000 because when the number next to the main number is below 5 then you round down...if it is 5 or above then you round up
5 0
3 years ago
Other questions:
  • How do you do this???
    8·1 answer
  • In a survey of 2,800 people who owned a certain type of​ car, 560 said they would buy that type of car again. What percent of th
    9·1 answer
  • Is the function represented by the table non-linear?
    13·1 answer
  • Solve.<br><br> M/9 = 8<br><br> A m = 1.1<br><br> B m = 17<br><br> C m = 27<br><br> D m = 72
    8·1 answer
  • Marilu invested $3,000 in a fund with an interest rate of 2.5% compounded semi-
    7·1 answer
  • Look at the comments under this question! y = 10-3x and 2x+2y = 0
    14·1 answer
  • Can you please help me with this question
    13·1 answer
  • Find the missing side lengths. All answers should be in fully simplified form.<br> a=?<br> b?
    13·2 answers
  • Please help me with this function graph ​
    8·1 answer
  • The cost of a table is 5 times the chair what is the price of chair if the total is 1050​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!