answer.
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
ivanzaharov
22 days ago
8

At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima

l places. if an answer does not exist, enter dne.)
Mathematics
1 answer:
AnnZ [12.3K]22 days ago
7 0
\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle

x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65
\implies t^2=64
\implies t=\pm8
You might be interested in
A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those
tester [12383]

Answer:

The distance separating the two stadiums is nearly 3115.1 meters

Step-by-step explanation:

By creating two right angle triangles formed between the blimp and each stadium, as illustrated in the provided image, the spatial separation "x" can be calculated as the excess length of the ground-level triangle legs.

To calculate the lengths of these legs, the tangent function corresponding to the given depression angles can be applied as follows:

tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx 290.6\,\,meters

and for the other one:

tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx 3405.7\,\,meters

Therefore, the separation between the stadiums is determined by the calculation:

b - a = 3405.7 - 290.6 meters = 3115.1 meters

8 0
13 days ago
Dagogo uploads 333 videos on his channel every month. Each video averages 151515 minutes in length and gets an average of 150{,}
lawyer [12517]

Answer:

That's a lot of views, dude.

7 0
1 month ago
Read 2 more answers
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
PIT_PIT [12445]

The question appears to be incomplete. Here’s the complete inquiry:

Samir is quite skilled with the gun. When he targets a specific aim at the shooting range, he has a 0.95 probability of striking it. On one occasion, Samir sets out to shoot 10 targets consecutively.

If he has the same chance of hitting each of the 10 targets, what is the likelihood that he will miss at least one?

Response:

40.13%

Step-by-step breakdown:

Let 'A' represent the event of successfully hitting all targets in 10 trials.

The complement of 'A' is \overline A=\textrm{Missing a target at least once}

Now, since Samir has a consistent probability of hitting each target at 0.95.

Now, P(A)=0.95^{10}=0.5987

We know that the combined probability of an event and its complement equals 1.

<pThus, P(A)+P(\overline A)=1\\\\P(\overline A)=1-P(A)\\\\P(\overline A)=1-0.5987\\\\P(\overline A)=0.4013=40.13\%

Consequently, the probability that he misses at least one target among 10 attempts is 40.13%.

6 0
1 month ago
Read 2 more answers
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy
Svet_ta [12734]

Complete Question

Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.

What is the length of the pillow?

Provide an exact answer (no rounding).

Answer:

1.4m

Step-by-step explanation:

A wedge can be defined as a Triangular prism. Thus,

The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L

b = 0.5m

h = 1 m

l =??

Volume of the wedge = 0.35 m³

0.35 = 1/2 × 0.5 × 1 × L

0.35 = 0.25 × L

Solving for L, we get: L = 0.35/0.25

L = 1.4m

4 0
1 month ago
How does the graph of mc024-1.jpg compare to the graph of the parent function mc024-2.jpg?
babunello [11817]
The question is as follows:
<span>In what ways does the graph of g(x)=1/x-5+2 differ from the graph of the parent function f(x)=1/x?
</span>
=================================================
Solution:
========
The given function ⇒ g(x) = \frac{1}{x-5} +2

The parent function of the provided function ⇒ f(x)= \frac{1}{x}

After graphing both equations, as illustrated in the attached image.
It can be concluded that
<span>g(x) is translated 5 units to the right and 2 units upwards from f(x).
</span>

Thus, the correct answer is option 2
<span />
6 0
1 month ago
Read 2 more answers
Other questions:
  • Anna draws an angle in her notebook. in how many points do the rays intersect?
    15·2 answers
  • Jessica wants to calculate her grade in her accounting class.she has four test grades (82, 65, 71, and 77) and a homework grade
    6·1 answer
  • After a rotation, A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). Which rule describes th
    14·2 answers
  • A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on
    14·1 answer
  • How many sets of three integers between 1 and 20 are possible if no two consecutive integers are to be in a set?
    15·1 answer
  • The graph of f(x), shown below has the same shape as the graph has the same shape as the graph of g(x)=x^4-X^2 which contains th
    13·2 answers
  • Eliza’s backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her ba
    12·2 answers
  • The baker fits 26 rolls onto a pan that measures 1 5/ 8 ft.² how many square feet does the Baker use for each roll? Show your wo
    5·1 answer
  • Which point is a solution of x + 2y ≤ 4?
    15·2 answers
  • A survey of 132 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!