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
Amiraneli [1.4K]
2 years ago
5

Please help me i rlly need help lol i have to written

Mathematics
1 answer:
MissTica2 years ago
6 0
Take the picture clearly because I can’t read nothing
You might be interested in
Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
1 year ago
Solve the equation -18 +3x = -6
Eddi Din [679]
You want to solve for x so add 18 from both sides of the equal sign. making it 3x=12. then divide both sides by 3 making x=4. x is 4.

5 0
3 years ago
Read 2 more answers
What is the solution of the system of equations?
zlopas [31]
No solution because when you plug in the variables for x y and z none of them equal that correct number.
4 0
3 years ago
Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What frac
FromTheMoon [43]
We know that 7/10 of the cookies are chocolate chip, so that means there are 3/10 of the cookies left.
We now want to find what 3/4 of 3/10 is.
We can do this by multiplying both fractions
3/4x3/10 (we just multiply across) to get 9/40.
We cannot simplify this answer, so our final answer is 9/40 of the cookies are sugar cookies.
3 0
2 years ago
An animal shelter provides a bowl with 1.55 liters of water for 5 cats.
Archy [21]

Answer: The answer is 0.8 liters of water.

Step-by-step explanation: Well there are 5 cats and each cat drinks .15 liters per day. .15x5 = .75 liters of water. 1.55 liters - .75 liters = 0.8 liters left.

7 0
2 years ago
Other questions:
  • Please help me I don't get it
    8·1 answer
  • An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 390 feet of antiqu
    7·1 answer
  • Kelly's parents plan to put money into an account and leave it there for 16 years before she goes to college. If they put $1000
    13·1 answer
  • The measure of an angle is 45º. What is the measure of its complementary angle?
    7·2 answers
  • Solve the system of equations by substitution y=5x-13 and 5x+2y=19
    8·1 answer
  • Simplify the expression 7(9+2)
    14·1 answer
  • I NEED TO KNOW if IM correct<br><br> thanks!
    11·1 answer
  • Match each function on the left to all points on the right that would be located on the graph of the function
    11·1 answer
  • Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that w
    15·2 answers
  • An athlete runs two miles in 13.5 minutes. How many minutes is this per mile?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!