Answer:
The angle between the two vectors
∝ = 64°
Step-by-step explanation:
Step(i):-
Given that the vectors
[tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]
and
[tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]
[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]
= 3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)
= 3 - 2 -10
= -9
Step(ii):-
Let '∝' be the angle between the two vectors
[tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]
[tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]
∝ = cos⁻¹(0.4392) = 63.947
Final answer:-
The angle between the two vectors
∝ = cos⁻¹(0.4392) = 63.947
∝ = 64°
What’s the scale factor?
Answer:
The scale factor is 1/4
Step-by-step explanation:
20/5 = 4
*what shape is the cross section
(giving brainliest if correct !)
Answer:
Triangle!!
Step-by-step explanation:
If you cut the pyramid in half, it will leave triangles. Hope this helps!
Which number line shows the correct locations of all the given values?
Answer:
it would be c because it is plotted correctly
what is the greatest common factor (GCF) of 88 and 132?
Solve for X. Will give brainliest!
Answer:
57.6
Step-by-step explanation:
Parallel lines cut by transversals have proportional segments.
25/30 = 48/x
25x = 30 * 48
25x = 1440
x = 57.6
someone please solve this question
Answer:
do you have what x and/or y equals
Step-by-step explanation:
75in, 60 in Pythagorean
What’s the missing leg?
Answer:
X = 45
Step-by-step explanation:
a^2 + b^2 = c^2
60^2 + a^2 = 75^2
3,600 + a^2 = 5,625
- 3,600 - 3,600
____________________
a^2= 2025
square root them
a^2 = a
2025 = 45
so x =45
A chocolate bar cost 2 dirham. Alyazia spends 18dh on chocolate bars for her siblings. Write an equation to express how many chocolate bars she bought.
pllssss helpppp
Answer:
ok all you have to do is solve the equation
Answer:
A chocolate bar = 2 dirham
amount of money Alyazia spends = 18 dirhams
on chocolate bars for her siblings are
∴ the number of chocolates Alyazia are = 18/2 = 9
Alyazia bought 9 chocolates
hope this answer helps you.....
Find the area of the polygons
Answer:
Step-by-step explanation:
HEKEIAINF AIUOSF AOFNK IO:SAB AIOSFBJK ASMEHELPPP
Answer:
Ummm give me a second let me solve this
IN
6
Ted can read 135 pages in 3 hours.
Which statement is true?
A The unit rate is 135 pages in 3 hours.
B
The unit rate is 45 pages in 1 hour.
The unit rate is 45 pages in
1
3
of an hour.
None of the statements are true PLEASE HELPPP MEEE ANSWERRR THIS QUESTION
Answer:
45 pages in 1 hour
Step-by-step explanation:
Find the unit rate by dividing the number of pages by the number of hours
135/3
= 45
This means he can read 45 pages in 1 hour.
The unit rate is 45 pages in 1 hour.
Tenemos 2 triangulos donde sus angulos mieden 46 y 66 respectivamente, y el lado adyacente a ellos mide 15cm, el criterio de congruencia es
Answer:
Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.
Step-by-step explanation:
Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.
Nevada has the fastest growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population 2010 ? Apply the population growth formula N=Noe^rt
Answer:
32,322,237 million or 3.23million
Step-by-step explanation:
Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt
Applying the formula given above
N=Noe^rt
No = 2.62 million
r = 3.5% = 0.035
t = 2010 - 2004 = 6 years
N = 2.62 × e^6 × 0.035
N = 3.2322365171 million
= 32,322,237 millon
Approximately = 3.23 millon
find the circumference of a circle with a radius of 9.8 in. (urgent)
Answer: 61.58
Step-by-step explanation:
C = 2 π r = 2 · π · 9.8
π = pi
radius times pi (3.14) times 2 (because two radius makes the diameter)
9.8 times 3.14 times 2 = 61.57522in
Now we round.. 61.58
:) I hope this helps!
Aarav and Bahir are running laps around a 400-meter circular track. They started together and ran in the same direction. Each of them is running at a constant rate. When Aarav completed the first lap, Bahir was already 100 meters ahead of him. How many laps will Aarav complete by the time Bahir reaches him from behind on the track?
Answer:
4
Step-by-step explanation:
for every 400 meters aarav runs bahir runs 500
when bahir is at 2000 aarav is at 1600
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Answer:
2.25
Step-by-step explanation:
Leon had 84 paper clips. He gave 3 4 of them to Joe. Joe gave 2 7 of what he received to Justin. How many paper clips did Justin get?
Please explain it in a statement way!
Given:
Leon had 84 paper clips.
He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
To find:
How many paper clips did Justin get?
Solution:
Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]
= [tex]63[/tex]
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]
= [tex]18[/tex]
Therefore, Justin has 18 paper clips.
A box in the shape of a triangular prism is painted for a project. Which formula would be used to find the lateral surface area of the triangular prism?
Answer:
LSA = (a+b+c)×h
Step-by-step explanation:
The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)
Let us assume that three side of triangle are a, b, c and height of prism is h
Then lateral surface area of the prism can be LSA = (a+b+c)×h
what is 22% of 45
what is 32.5% of 250
Answer:
22%*45=
(22:100)*45 =
(22*45):100 =
990:100 = 9.9
32.5%*250=
(32.5:100)*250 =
(32.5*250):100 =
8125:100 = 81.25
Answer:
1) 9.9
2) 81.25
Step-by-step explanation:
1)
22% = 0.22
45(0.22) = 9.9
2)
32.5% = 0.325
250(0.325) = 81.25
can someone help me plz
Answer:
9442 lb
Step-by-step explanation:
First find the volume of the tank. This being a sphere, the volume is V =(4/3)π·r³. Here the diameter is 17 ft, so the radius, r, is half that: 8.5 ft.
Then the volume of the sphere is V = (4/3)π·(8.5 ft)³, and half that (the volume of the hemisphere) is (2/3)π·72.25 ft³.
Water weighs 62.4 lb/ft³. To find the weight of the water in the full tank, multiply the tank volume by this weight density 62.4 lb/ft³:
×
(2/3)π·72.25 ft³ · 62.4 lb/ft³ ≈ 9442 lb
what is the least common denominator of 3/1+8/4
Answer:
4355646
Step-by-step explanation:
45345
Answer:
least common denominator is 4
Step-by-step explanation:
3/1+8/4=20/4 which is 5
1. أوجد احداثيي كل نقطة من النقط E,a,b,c,d,
حيث :
Oc=0A+ob
OB=2j
OE = 2AC ، OD = - 2i+3
2. عين مركبات كل شعاع من الأشعة التالية: 3BC+AB, AB+-3BC
Answer:
Um what’s this language?
Step-by-step explanation:
The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri
Answer:
A, C, E
Step-by-step explanation:
Right on Edge
Look at the expression below 7x11x13 How many factors does the product of the expression have?
ans 1) Exactly 3 factors
ans 2) Exactly 4 factors
ans 3) Exactly 5 factors
ans 4) More than 5 factors
Answer:
Exactly 3 factors
Step-by-step explanatin
The number 1001 is a composite number because 1001 can be divided by one, by itself and at least by 7, 11 and 13. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly).
The factorization or decomposition of 1001 = 7•11•13. Notice that here, it is written in exponential form.
The prime factors of 1001 are 7, 11 and 13. It is the list of the integer's prime factors.
The number of prime factors of 1001 is 3.
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
p=9
Step-by-step explanation:
Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).
12, 17, 20, 8, 13
Answer:
18/5
Step-by-step explanation:
12+17+20+8+13 =70
70/5 = 14 which is the mean
the distances from the mean are
2 3 6 6 1
add them which is 18 then divide by 5 to find the mean
18/5
Is this expression equivalent 20 divided by 5 and 5 divided by 20
Answer:
no. if you do 5 divided by 20 your answer will be negative
Step-by-step explanation:
f(x)=-2(x-4)^2+8 find the vertex
Set the polynomial equal to
y
to find the properties of the parabola.
y = -3(x+4)^2 - 8
Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k
a = -2
h = -4
k = -8
Find the vertex (h,k)
(-4, -8)
As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."
What is the vertex form of a quadratic equation?"The vertex form of a quadratic equation is:
y = a(x - h)² + k
Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.
Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."
Here, the given quadratic equation is:
y = f(x) = -2(x - 4)² + 8
By comparing it with the vertex form of a quadratic equation, we get:
h = 4, y = 8.
Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).
Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597
#SPJ2
An easel with sides of equal length opened and placed on a desk. What type of triangle is formed by the easel and the desk by sides and by angles?
Answer:
isosceles right triangle
Step-by-step explanation:
In this question it is given that the two sides of easel are same.
A triangle formed has three sides - two of easel and one of the table itself.
The angle formed in 90 degrees (right angle)
Hence the triangle is a isosceles right triangle
6x + 2(5x -6) how do i get the answer?