Find the angle between the given vectors to the nearest tenth of a degree.u = <-5, -4>, v = <-4, -3>
Answers
Answer:Hence, the angle between the given vectors is 1.8°.
Step-by-step explanation:
Since we have given that
We need to find the angle between the given vectors:
Hence, the angle between the given vectors is 1.8°.
Related Questions
What is the length of the line segment that is graphed from (3, 1) to (8, 1)?A. 4 units B. 5 units C. 8 units D. 9 units
A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily? (Hint: Find the probability of observing an x in the shutdown range when the true process mean really is 0.75 inches. Round your answer to four decimal places.)
Choose the correct simplification of the expression −4x2(6x − 5x2 − 5).20x4 + 24x3 + 20x2 −9x4 + 2x3 − 9x2 20x4 − 24x3 + 20x2 −20x4 + 24x3 − 20x2
What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?The axis of symmetry is x =
A.
10
B.
12
C.
24
D.
40
Answers
the answer is B.12 because 8*2=16 and 28-16=12
hope i helped
Answers
Answer:m<t =16
Step-by-step explanation:
Cross section A is from a plane that is parallel to the base cutting through the prism. Cross section A has an area of 90 units squared.
Cross section B is from a plane that is perpendicular to the base and parallel to the sides of the prism cutting through the prism. Cross section B has an area of 50 units squared.
Cross section C is from a plane that is perpendicular to the base and parallel to the front of the prism cutting through the prism. Cross section C has an area of 45 units squared.
The prism in which the cross sections were taken has a length of
units, width of
units, and a height of
units.
Answers
The rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).
What is the area of a rectangle?
A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and congruent (equal in length). The area of a rectangle is defined as the amount of space that is enclosed by its two-dimensional shape, and it can be calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is:
Based on the given information, we can determine the dimensions of the rectangular prism as follows:
Cross section A has an area of 90 square units, which is equal to the area of the base of the prism. Since the base of the prism is a rectangle, we can use the formula for the area of a rectangle to find its dimensions:
90 = length x width
Cross section B has an area of 50 square units, which is equal to the area of one of the sides of the prism. Since the sides of the prism are also rectangles, we can use the formula for the area of a rectangle to find its dimensions:
50 = height x width
Cross section C has an area of 45 square units, which is equal to the area of the front of the prism. Since the front of the prism is also a rectangle, we can use the formula for the area of a rectangle to find its dimensions:
45 = length x height
We now have three equations with three unknowns, which we can solve for to find the dimensions of the prism:
90 = length x width
50 = height x width
45 = length x height
Solving for width in the first equation gives us:
width = 90 / length
Substituting this into the second equation gives us:
50 = height x (90 / length)
Solving for height gives us:
height = 50 x (length / 90) = (5/9) length
Substituting this into the third equation gives us:
45 = length x (5/9) length = (5/9) length²
Solving for length gives us:
length² = (9/5) x 45 = 81
length = √(81) = 9
Therefore, the rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).
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Answers
Answer: $30
Step-by-step explanation:
Notice the wording. 40 percent of 80 dollars
of= multiply
1. Turn 40% to decimal.
40% = 0.40
2. Multiply
0.40(80)= 32
So your answer is 30 dollars.
Final answer:
To solve the percentage problem, you multiply $80 by 0.40 (which is the decimal equivalent of 40%). The result is $32.
Explanation:
The question is asking for the value of 40% of $80. To solve this percent problem, you will need to multiply the total amount ($80) by the percentage (40%). However, since the percentage is given as a whole number, you must first convert it to a decimal by dividing by 100. So, 40% becomes 0.40 as a decimal.
To find out what 40% of $80 is, you then multiply $80 by 0.40. Here's the math:
$80 x 0.40 = $32
So, 40% of $80 equals $32.
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Answers
a 4/3
b 7/3
c 3/2
d 11/2
Answers
(4x - 1)/3 = 7/1
4x -1 = 7 * 3
4x - 1 = 21
4x = 21 + 1
4x = 22
x = 22/4
= 11/2
So the value of the unknown variable x is 11/2. So the correct option is option "d". Hope i have answered your question correctly and helped you to understand the method by which these problems should be done.