Answer:
The measure of the angle between the vectors = Ф = 11.30°
Step-by-step explanation:
Given
u = ⟨2, –3⟩v = ⟨1, –1⟩[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
Next, find the lengths of the vectors:
[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]
u = ⟨2, –3⟩
[tex]\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}[/tex]
[tex]=\sqrt{13}[/tex]
u = ⟨2, –3⟩
[tex]|v|=\sqrt{1^2+\left(-1\right)^2}[/tex]
[tex]=\sqrt{2}[/tex]
Finally, the angle is given by:
[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
cos (Ф) = 5/√26
Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)
Ф = 11.30°
Thus, the measure of the angle between the vectors = Ф = 11.30°
Answer:
The Answer is A. 11.3
Step-by-step explanation:
got it right. Also thats just the letter answer :)
An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?
Answer:
The bridge is 80 feet long
Step-by-step explanation:
We will use the ratio method to solve the question
∵ The engineer used the scale 3 inch = 40 feet
∴ The scale drawing is ⇒ 3 inche : 40 feet
∵ The drawing length of the bridge is 6 inches
→ By using the ratio method
→ inch : feet
→ 3 : 40
→ 6 : x
→ By using cross multiplication
∵ 3 × x = 6 × 40
∴ 3x = 240
→ Divide both sides by 3
∴ x = 80
∵ x represents the actual length of the bridge
∴ The bridge is 80 feet long
how do you find the y - intercept (explain in sentences)
Question 1 of 10
Which of the following best describes the slope of the line below?
O A. Zero
O B. Positive
O C. Negative
O D. Undefined
Answer:
B
Step-by-step explanation:
--> The managers want to know how many boxes of 12 cookies can
be filled with the 3,258 cookies that have been baked. Fatima
starts by subtracting the largest number of boxes she can easily
calculate. She knows that 100 boxes of 12 cookies can be put into
one crate. How many crates can be filled from the total of 3,258
cookies?
Answer:
271 boxes
Step-by-step explanation:
Answer:
3 crates are required for 3258 cookies
Step-by-step explanation:
since the boxes can have 12 cookies each
number of boxes = number of cookies / number of cookies per box
number of boxes = 3,258 cookies / 12 cookies/box = 271.5 boxes = 272 boxes (271 completely filled and one halfway filled)
since each crate can hold 100 boxes
number of crates = number of boxes / number of boxes per crate
number of crates = 272 boxes/ 100 boxes/crate = 2,72 crates = 3 crates (2 completely filled and one 72% filled)
therefore the number of required crates for 3258 cookies is 3
Step-by-step explanation:hope i helped you
What is the value of the expression of -(-4)
Answer:
4
Step-by-step explanation:
two negative signs are equal to a positive sign
Deon had $25. Then he spent $15 on lunch. What percentage of his money did Deon spend on lunch?
Answer:
Deon spent 60% of his money on lunch.
Step-by-step explanation:
Find the slope of the line.
On a coordinate plane, a line goes through (negative 1, 0) and (negative 1, 1).
a.
Undefined
c.
Three-halves
b.
0
d.
-1
Greetings.
A line goes through (-1,0) and (-1,1).
~ Theory ~
If both x-term for both ordered pairs have same value. The slope for line graph is undefined.
~ Proof ~
Using Rise/Run
[tex]m = \frac{1 - 0}{ - 1 - ( - 1)} \\ m = \frac{1}{ - 1 + 1} \\ m = \frac{1}{0} [/tex]
Because the denominator is 0, therefore, the slope is undefined.
Because from rise/run. We put the x-term to subtract another x-term. And if both x-terms have same value. It will give the run/denominator = 0.
Therefore the answer is a. Undefined
Answer:
I think the answer would be letter a
Step-by-step explanation:
Have a great day, hope I helped
A recipe uses 2 1/4 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.
Answer: 22 1/2 cups
Step-by-step explanation:
multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups
Which pair of angles must be supplementary?
O 1 and 6
O 2 and 5
O 5 and 4
O Z6 and2
Where’s the image? There has to be an image showing the angles to see which pairs of angles are supplementary.
A store is having a 20 percent off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.
Answer:
$65
Step-by-step explanation:
Given
Percentage discount = 20%
Equivalent amount saved = $13
Let the original price of the product be x
To get x;
20% of x = 13
0.2x = 13
0.2x = -13
0.2 = 13
x = 13/0.2
x = $65
Hence the original price of the product is $65
5, 12, and 13 is it a right triangle
Answer:
yeah
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
what is the answer to 2.6=-0.2t
Answer:
-13
Step-by-step explanation:
Answer:
t = -13
Step-by-step explanation:
2.6 = -0.2t Equation
2.6 / -0.2 . = -0.2t/-0.2 Divide -0.2 on both sides
t = - 13 Simplify
If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.
Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!
The height of a punted football is modeled by the following quadratic function:
h(t) - -5t2 . 40
where the height is measured in meters after t seconds.
+
a. How many seconds will it take the ball to hit the ground?
c. What is the maximum height of the ball?
Answer:
Step-by-step explanation:
Part a
When the ball hits the ground it has covered the height of zero meters so we replace h(t) with zero
[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]
So it will take 8 seconds for the ball to hit the ground we another value
t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground
Part c
The ball reaches its maximum height when the velocity is zero.
So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.
[tex]v=-10t+40[/tex]
so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.
[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]
so now we insert the value of t = 4 into the equation of h(t) to get the height.
[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]
so the maximum height of the ball is 80 meters.
Part d
The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.
So the point is actually at the Origin (0 , 0).
Part e
We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as solved from part A
We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C
Graph attached.
There are 8 triangles and 6 circles. What is the simplest ratio of circles to total shapes?
Answer:
4:3
4 being triangles and 3 being circle.
Essentially, for every 4 triangles there are 3 circles.
Let me know if you need more help, :)
The ratio of number of circles to the total number of shapes is 3 : 7
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the total number of triangles be = A
Now , the value of A is 8
Let the total number of circles be = B
Now , the value of B is 6
So , the equation will be
The total number of shapes = total number of triangles + total number of circles
The total number of shapes = 8 + 6
The total number of shapes = 14 shapes
Now , the ratio of total number of circles to total number of shapes is =
total number of circles : total number of shapes
Ratio of total number of circles to total number of shapes = 6 : 14
On simplifying the ratio , we get
Ratio of total number of circles to total number of shapes = 3 : 7
Hence ,
The ratio of number of circles to the total number of shapes is 3 : 7
To learn more about proportion click :
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please help it’s with a graph thank you so much
Question
What is the solution to this system of equations?
ly
101
y=x-2
y=-0.5x + 4
8
6
2.
6
10
O A. (2,4)
O B. (1,2)
O C. (2,1)
O D. (4,2)
PLS HELP
Answer:
im not completely sure but i think its A
Answer:
D . (4,2)
Step-by-step explanation:
i got it right !
Please answer I need help
Answer:
B, C, D
Step-by-step explanation:
The following picture below proves that option b, c, and d are the correct pairs that satisfy the function y=7x+5.
Hope this helps! :)
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
12 cups= 3 quarts
there ya goo
1. solve for x
2(-3x+1) < -5x+14
2. -2(3x+15) less than or equal to 42
Answer:
For your first question, the solution is x> -12
Step-by-step explanation:
First, expand 2(-3x+1), writing it as -6x+2
Next, subtract both sides by 2;
-6x + 2 - 2 < -5x + 14 - 2
Then, we simplify;
-6x < -5x + 12
Next, add both sides to 5x;
-6x + 5x < -5x + 12 + 5x
Simplify;
-x<12
Then, multiply both sides by -1, using reverse of inequality;
(-x)(-1)>12(-1)
Finally, simplify;
x>-12
Answer:
The answer to your second question is x is greater than or equal to -12.
Step-by-step explanation:
First, multiply both sides by -1, reversing the inequality;
(-2(3x+15))(-1) greater than or equal to 42(-1)
Next, simplify;
2(3x+15) greater than or equal to -42
Then, divide 2 from both sides;
2(3x+15/2 greater than or equal to -42/2
Next, simplify;
3x + 15 greater than or equal to -21
Then, we subtract both sides by 15;
3x+15-15 greater than or equal to -21-15
Simplify;
3x greater than or equal to -36
Next, divide 3 from both sides;
3x/3 greater than or equal to -36/3
Finally, simplify;
x greater than or equal to -12
I hope we helped you answer your question.
PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x
Step-by-step explanation:
multiply all the numbers by 4 I think except for the exponent
Answer:
i-i13/2 hope this helps
Step-by-sitep explanation:
Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?
Answer:
A haircut costs $31
Coloring hair costs $93
Step-by-step explanation:
h = haircut
c = color
First equation: 1h + 2c = 217
Second equation: 2h + 1c = 155
Solve using elimination:
First, multiply both the equations so that they cancel the h's out:
First equation:
-1(2h + 1c = 155)
-2h - 1c = -155
Second equation:
2(1h + 2c = 217)
2h + 4c = 434
Then, put the equations together, and solve:
2h + 4c = 434
-2h - 1c = -155
3c = 279
c = 93
Find h:
2h + 1c = 155
2h + 1(93) = 155
2h + 93 = 155
2h = 62
h = 31
Hope this helped!
Order from least to greatest
6.8
The square root of 54/3
The square root of 13
26/3
PLEASE HELP
20 POINTSS Select all the values that are equivalent to the given expression. Express your answer in scientific notation.
PLZ HEPL ME DUE IN 5 MIN
Select all the values that are equivalent to the given expression. Express your answer in scientific notation.
(9.6 × 10^3) × (6.7 × 10^2)
A 6.432 × 10^5
B 6.432 × 10^6
C 64.32 × 10^5
D 64.32 × 10^6
E (9.6 × 6.7) × (10^3 × 10^2)
The expression (9.6 × 10³) × (6.7 × 10²) can be simplified in scientific notation as 6.432 × 10⁶ , 64.32 × 10⁵ and (9.6 × 6.7) × (10³ × 10²) .
Scientific notation is a means to express values that are either too big or too little to be conveniently stated in decimal form (typically would result in a long string of digits). It is also known as standard form in the UK and scientific form, standard index form, and standard form. Scientists, mathematicians, and engineers frequently utilize this base ten notation because it can make some mathematical operations simpler.
The given expression is : (9.6 × 10³) × (6.7 × 10²)
First we multiply the decimal terms separately.
So (9.6 × 6.7) = 64.32 and now we multiply the power terms
10³ × 10² = 10²⁺³ = 10⁵ ( By using the properties of exponents)
So in proper scientific notation 64.32 × 10⁵ = 6.432 × 10⁶
Which can also be written as 6.432 × 10⁶ or (9.6 × 6.7) × (10³ × 10²) .
To learn more about scientific notation visit:
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Find the slope of a line that passes through the points (2,3) and (4,1)
Answer:
The slope is -1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
use y2-y1/x2-x1=m to find slope so if you plug both of the points in you would get 1-3/4-2=-2/2 and that would equal -1
If 1 1/2 sections are 3/4 mile long, how long is each section?
Answer:
1/2 mile
Step-by-step explanation:
.75 mile /1.5 sections = .5 mile/section
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))!!!!!!!!!! !!!!!!!!!
Answer:
yes
yes
no
no
no
Step-by-step explanation:
Find the measure of angle 1
Answer:
∠1 = 116
Step-by-step explanation:
Find the inner angle first, the inner angle will be represented with x, also a triangle is 180 degrees, so:
57 + 59 + x = 180
116 + x = 180
subtract 116 from both sides
x = 64
So now u have the inner angle, and a straight line is also 180 degrees, so:
64 + ∠1 = 180
subtract 64 from both sides
∠1 = 116
PLS HELP!!
What is the volume of a cone with a radius of 5 inches and a height of 12 inches? (Use 3.14 for .)
942 cubic inches
314 cubic inches
376.8 cubic inches
125.6 cubic inches
Answer:
The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.
Step-by-step explanation:
i think thats it it was right on gogle
help help help help help help help help pls
Answer:
92
Step-by-step explanation:
Mean is all the numbers added up together and then divided by the # of numbers.
88*4 = 352
352-80-95-85 = 92
Answer:
A-92
Step-by-step explanation: