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Phoenix [80]
3 years ago
5

How to do this problem and the answer

Mathematics
2 answers:
NISA [10]3 years ago
5 0
Hello,

The center angle (AOL) is 80° and the inscript angle (ANL) is the half: 80°/2=40°
 
irga5000 [103]3 years ago
4 0
Use a protractor to do the problem, but try finding th answer yourself
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Translate the sentence twice x is 5 to an equation
Naddik [55]
2x = 5

<span>twice x is 5 become equation now.</span>
5 0
3 years ago
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On a long-distance biking trip, annike started biking at 7 a.M., and her average speed was 11 miles per hour. Celia started at 8
gladu [14]

Answer:

3.67 hours

Step-by-step explanation:

Speed is the ratio of distance to time, it is given by the formula:

Speed = Distance / time

For annike her average speed was 11 miles per hour and she started at  7 am.

At 8 am (time = 1 hr i.e 7 am to 8 am) the distance she would have covered is given as:

11 miles/hr = distance / 1 hr

Distance = 11 miles per hr × 1 hr = 11 miles

After 8 am, the distance traveled at time t is:

11 = distance/t

distance = 11t

Total distance = 11t + 11

For Celia she started at 8 am at 14 miles per hour, at time t, the distance traveled is:

14 = distance/t

Distance = 14t  

Given that both bikers traveled the same distance, hence:

14t = 11t + 11

3t = 11

t = 11/3

t = 3.67 hours

5 0
3 years ago
Find the extreme values of f subject to both constraints f(x,y) = 2x^2+3y^2-4x-5, x^2 + y^2 &lt;=16
Softa [21]
f(x,y)=2x^2+3y^2-4x-5
f_x=4x-4=0\implies x=1
f_y=6y=0\implies y=0

f(x,y) has only one critical point at (x,y)=(1,0). The function has Hessian

\mathbf H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}4&0\\0&6\end{bmatrix}

which is positive definite for all (x,y), which means f(x,y) attains a minimum at the critical point with a value of f(1,0)=-7.

To find the extrema (if any) along the boundary, parameterize it by x=4\cos t and y=4\sin t, with 0\le t. On the boundary, we have

f(x(t),y(t))=F(t)=2(4\cos t)^2+3(4\sin t)^2-4(4\cos t)-5=32\cos^2t+48\sin^2t-16\cos t-5
F(t)=35-16\cos t-8\cos2t

Find the critical points along the boundary:

F'(t)=16\sin t+16\sin2t=16\sin t+32\sin t\cos t=16\sin t(1+2\cos t)=0
\implies t=0,\dfrac{2\pi}3,\pi,\dfrac{4\pi}3

Respectively, plugging these values into F(t) gives 11, 47, 43, and 47. We omit the first and third, as we can see the absolute extrema occur when F(t)=47.

Now, solve for x,y for both cases:

t=\dfrac{2\pi}3\implies\begin{cases}x=4\cos t=-2\\y=4\sin t=2\sqrt3\end{cases}

t=\dfrac{4\pi}3\implies\begin{cases}x=4\cos t=-2\\y=4\sin t=-2\sqrt3\end{cases}

so f(x,y) has two absolute maxima at (x,y)=(-2,\pm2\sqrt3) with the same value of 47.
5 0
3 years ago
A table with a round top is cut in half so that it can be used against a wall.after it is cut,the edge along the wall is 6 feet
MrRissso [65]

Answer:

The area of the table after it is cut is 12 or 36 because

Step-by-step explanation:

6 times 2= 12 and 6 times 6= 36 so year

4 0
4 years ago
Meg has 26 toy ponies.She gets 6 more for her birthday.She displays half of them on a shelf and puts the rest in a box.How many
Mazyrski [523]

Answer:

16 ponies are displayed

Step-by-step explanation:

First you need to add 26 and 6 to get 32.Then you need to cut 32 in half or divide it by 2 for your answer.

5 0
4 years ago
Read 2 more answers
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