Answer:
theta = 36.87
Step-by-step explanation:
E.A= (4i+3j).5i= 20
|E| |A| =
[tex] | e| |a| = \sqrt{4 ^{2} + {3}^{2} } \times 5 = 25[/tex]
[tex] \cos(theta) = \frac{e.a}{ |e ||a | } = \frac{20}{25} = \frac{4}{5} \\ theta = \cos ^{ - 1} ( {.8} ) = 36.87 [/tex]
find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet point is (2,13). D cornet point is (5,7).
Answer:
x -2y = -4
Step-by-step explanation:
The slope of the line between points C and D is ...
m = (y2 -y1)/(x2 -x1)
m = (7 -13)/(5 -2) = -6/3 = -2
The slope of the perpendicular line is the opposite reciprocal of this: -1/(-2) = 1/2. The point-slope equation of the desired line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -1 = 1/2(x -(-2))
We can rearrange this to standard form.
2y -2 = x +2 . . . . . multiply by 2
-4 = x -2y . . . . . . . subtract 2y+2
x -2y = -4 . . . . . . standard form equation of the desired line
what is the slope of (-1,-2) and (-2,2)
[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,-2)~~ \text{and}~~ (x_2,y_2) = (-2,2)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{2 -(-2)}{-2-(-1)} = \dfrac{2+2}{-2+1} = \dfrac{4}{-1} = -4[/tex]
Use green’s theorem to evaluate
By Green's theorem (all the conditions are met), we have
[tex]\displaystyle \int_C \sqrt y \, dx + \sqrt x \, dy = \iint_D \frac{\partial(\sqrt x)}{\partial x} - \frac{\partial(\sqrt y)}{\partial y} \, dx \, dy[/tex]
where D is the interior of the path C, or the set
[tex]D = \left\{ (x, y) : 0 \le y \le \dfrac{x^2}2 \text{ and } 0 \le x \le 2 \right\}[/tex]
So, the line integral reduces to the double integral,
[tex]\displaystyle \frac12 \int_0^2 \int_0^{\frac{x^2}2} x^{-\frac12} - y^{-\frac12} \, dy \, dx[/tex]
[tex]\displaystyle = \frac12 \int_0^2 x^{-\frac12}\left(\frac{x^2}2\right) - 2\left(\frac{x^2}2\right)^{\frac12} \, dx[/tex]
[tex]\displaystyle = \frac12 \int_0^2 \frac12 x^{\frac32} - \sqrt 2 \, x \, dx[/tex]
[tex]\displaystyle = \frac14 \int_0^2 x^{\frac32} - 2\sqrt 2 \, x \, dx[/tex]
[tex]\displaystyle = \frac14 \left(\frac25\cdot2^{\frac52} - \sqrt2\cdot2^2\right) = \boxed{-\frac{3\sqrt2}5}[/tex]
Which of the following statements about the image below is true?
Answer:
d. Line UR and Line VW are parallel
Step-by-step explanation:
If they were to continue going straight, they would not touch, making them parallel.
I hope this helps!
3. Vocabulary Suppose △MNP ∼△RST. How can you identify corresponding parts?
4. Reasoning Suppose △ABC ∼△TUV. Determine whether each pair of measures is equal.
a. the measures of ∠A and ∠T
b. the perimeters of the two triangles
c. the ratios of the sides BC/UV and AC/TV
5. Reasoning e scale of a map is 1 in. : 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns? Explain.
Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.
(3) Corresponding sides of △MNP and △RST
Given that △MNP ∼△RST.
This means that, the corresponding sides are:
MN and RSMP and RTNP and ST(4) The equal measures
Given that △ABC ∼△TUV
This means that, the corresponding angles are equal, but corresponding sides are not.
So, the equal measures are:
(a). the measures of ∠A and ∠T (c). the ratios of the sides BC/UV and AC/TVThe unequal measure is:
(b). the perimeters of the two triangles(c) Scale mapping
The scale mapping is given as:
[tex]Ratio = 1\ in : 100\ mi[/tex]
The above scale means that 1 inches on the scale represents 100 miles of the actual distance.
Take for instance, 5 inches would represent 500 miles.
500 is 5 times 100
Hence, the actual distance between two towns 100 times the map distance between the two towns
Read more about similar triangles at:
https://brainly.com/question/14285697
I NEED HELP PLEASE 15 POINTS
13) Given that m∠EFJ = 70°, find m∠KFG. A) 10° B) 20° C) 30° D) 40°
Answer:
20°
Step-by-step explanation:
∡EFJ = 70°
∡JFK = 90°
So, ∡KFG = 180 - ∡JFK - ∡EFJ = 180 - 90 - 70 = 20°
Answer:
60
Step-by-step explanation:
i put 30 then it said the answer was 60
If 15 out of 25 students are boys, what percent of the class is
made up of boys?
£ 23 PER WEEK TRAVEL HOW MUCH FOR 2 YEARS
Answer: the cost would be 2398.19
Step-by-step explanation: hope this helps:)
How do I get the result for 1/8 out of 40?
Answer:
5
Step-by-step explanation:
You divide your number by the denominator and then times it by the numerator
its suppolsy the hardest question in math
Answer:
E
Step-by-step explanation:
[tex]\sqrt{\dfrac{64}{49}} = \dfrac{\sqrt{64}}{\sqrt{49}} = \dfrac 87[/tex]
Answer:
E
Step-by-step explanation:
Un
número formado por 22 centenas,
515 unidades 1765 décimas, ¿cuantas
milésimas tiene?
Hay cero milésimas en los parámetros dados.
El valor posicional se refiere al valor representado por un dígito en un número sobre la base de su posición en el número.
De los parámetros dados:
22 centenas ⇒ 2200515 unidades ⇒ 5151765 décimas ⇒ 176.5Si sumamos los valores juntos, podremos determinar la cantidad de milésimas que tenemos:
= 2200+515+176.5
= 2891.5
Por tanto, podemos concluir que hay cero milésimas en los parámetros.
Obtenga más información sobre el valor posicional aquí:
https://brainly.com/question/559183
can someone please explain this question
Un rectángulo tiene un perímetro de 64 pulgadas y una longitud de22 pulgadas . ¿Qué ecuación puedes resolver para encontrar el ancho?
Answer:
[(P - (2 x l)] / 2
Step-by-step explanation:
[Perimeter - ( 2 x length) ] / 2
(64 - 2x22)/2 = 10 pulgadas de ancho
Help me to solve this
Step-by-step explanation:
first we use Pythagoras to get t :
c² = a² + b²
with c being the Hypotenuse.
so,
t² = r² + s² = 10² + 31² = 100 + 961 = 1061
t = sqrt(1061)
and then we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with the angles being opposite of their related sides.
so, r/sin(R) = t/sin(T) = t/sin(90) = t/1 = t
sin(R) = r/t = 10/sqrt(1061) = 0.30700278...
R = 17.8786966... ≈ 17.9°
In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the area of the trapezoid if AC = 3, AD = 5.
Answer:
10.5
Step-by-step explanation:
A=a+b
2h=2+5
2·3=10.5
Answer:
solution given:
let's see only in a right-angled triangle Δ ACD.
AC=3 units
AD=5 units
since Δ ACD is a right-angled triangle. It satisfies Pythagoras law
[tex]AD^{2}=AC^{2}+CD^{2}[/tex]
25=9+[tex]CD^2[/tex]
[tex]CD^2[/tex]=25-9=16
[tex]CD=\sqrt{16} =4 units[/tex]
Now
Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]
similarly,
[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]
since AB=CE=2.4 units
Δ ACE is a right-angled triangle. It satisfies Pythagoras law.
[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]
now
area of trapezoid=area ofΔACD+Area of ΔABC
=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]
Step-by-step explanation:
A graph, a table and equation are shown below. Please help!
Answer:
A) slope is 1
B) Slope is 3
C) slope is 0.5
Step-by-step explanation:
Using Rise over run method and mx+b
What is the function rule for the line?
Answer: It is f(x)= -3/2x-2
Step-by-step explanation: f(x) is the same as y. The formula for a line is slope-intercept form (y=mx+b). The -2 is the y-intercept, and the line intercepts the graph at -2. The slope is -3/2 because it rises 3 and goes to the left -2.
The following represents the inflation rates of foreign country X for the past 5 years:
Year 1: 35%
Year 2: 20%
Year 3: 25%
Year 4: 30%
Year 5: 15%
Which statement is correct about the selection of a functional currency for country X at the end of year 5.
a.
Country X is highly inflationary; the US dollar must be used
b.
Country X is highly inflationary; the foreign currency must be used
c.
Country X is not highly inflationary; the US dollar must be used
d.
Country X is not highly inflationary; either the US dollar or the foreign currency may be used depending on the factors to determine the functional currency
e.
Country X is not highly inflationary; the foreign currency must be used
Answer:
year 3:25 A,C,E
Step-by-step explanation:
2/3 plus 1/4 plzzzzzzzzzzzzzzzzzz
11/12
Answer:
1. find the least common denominator (LCD) of 2/3, 1/4 in other words, find the Least Common Multiple (LCM) of 3,4
Least Common Multiple (LCM) of 3,4 LCD = 12
Least Common Multiple (LCM) of 3,4 LCD = 122.
Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.
Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__
Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x3
Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x33. Simplify denominators are Now The Same.
8/12 + 3/12
4. join the denominators
__8+3_____
12
5. Answer 11/12
Btw the Lines are Just For Separating numbers.
Emma says that Function A has a greater initial value. Is Emma correct? Justify your response. Function A Function B Alternative text x 2 4 6 8 10 y 2 3 4 5 6 A. Yes; Function A has an initial value of 2 and Function B has an initial value of 1. So, Function A has a greater initial value. B. Yes; Function A has an initial value of –1 and Function B has an initial value of –2. So, Function A has a greater initial value. C. No; Function A has an initial value of –2 and Function B has an initial value of 1. So, Function B has a greater initial value. D. No; Function A has an initial value of 2 and Function B has an initial value of –1. So, Function B has a greater initial value
Answer: B
Step-by-step explanation: Function A starts at 0,2 and function B starts at 2,2
Answer:
It is C
Step-by-step explanation:
"No; Function A has an initial value of 2, and Function B has an initial value of 1. So, the functions do not have the same initial value."
A population numbers 18,000 organisms initially and grows by 16% each year.
Answer:
The answer is 20,880
Step-by-step explanation:
This won't be a very long explanation. What I did was add 18,000 plus 16% and I got 20,880.
Hope this helps!
Have a nice day/night/afternoon.
(Can you mark me brainliest?)
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An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no violations during the past calendar year. According to the company's data, a high-risk motorist has a 50% chance of remaining in the high-risk category the next year and a 50% chance of moving to the low-risk category. A low-risk motorist has a 90% chance of moving to the high-risk category the next year and a 10% chance of remaining in the low-risk category. In the long term, what percentage of motorists fall in each category? (Round your answers to two decimal places.)
high-risk category %
low-risk category %
The percentage of motorists falling in each category, in the long term, are as follows:
High-risk category = 70%
Low-risk category = 30%
Data and Calculations:
Risk Profile Categories of Motorists
High Risk Low Risk
Probability of remaining
in the same category 50% 10%
Probability of moving to another
category 50% 90%
Probability a motorist falling in the high-risk category = (50% x 50%) + (50% x 90%)
= 25% + 45%
= 70%
Probability a motorist falling in the low-risk category = (50% x 50%) + (50% x 10%)
= 25% + 5%
= 30%
Thus, the probability of a motorist falling in the high-risk category is 70%, while the probability of a motorist falling in the low-risk category is 30%.
Learn more about probability here: https://brainly.com/question/24756209
A flagpole has a 10 foot shadow. A soldier standing next to it is 6 foot tall and has a 2 foot shadow. How tall is the flagpole?
Answer:
30 feet tall flag pole
Step-by-step explanation:
The camp cook needed 2172 ounces of juice each day each carton of juice contains 64 ounces the Cook estimated that he needed 30 cartons of juice each day which expression proves that his estimate is incorrect
Answer: 384
Step-by-step explanation:
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
A squares diagonal is 22. What is the length of each side?
Answer:
[tex]\sqrt{242}[/tex]
QUESTION 16 PLEASE HELP ME ASAPP
Answer: changes over time
Step-by-step explanation: it is always decreasing
х Y
2 4
4 5
7. 6.5
Write the equation of the line represented by the table
Answer:
y = 0.5x + 3
Step-by-step explanation:
Michael drove 638 miles in 11 hours.
At the same rate, how many miles would he drive in 8 hours?
she will drive 754 miles in 13 hrs.
What is the answer to the question. Solve for x
Answer:
Answer:
[tex]x=\frac{75}2[/tex]
Step-by-step explanation:
Give letters, as in the attached image.
The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]