Answer:
The answer is "[tex]39.01^{\circ}[/tex]"
Step-by-step explanation:
[tex]\to R= 828\\\\\to F_1= 401\\\\\to F_2=477\\\\\to \bold{R=\sqrt{F_1^2+F_2^2+2F_1F_2 \cos \theta}}[/tex]
[tex]828=\sqrt{401^2+477^2+2 \times 401 \times 477 \cos \theta}\\\\828=\sqrt{160801+227529+382554 \cos \theta}\\\\828=\sqrt{388330+382554 \cos \theta}\\\\[/tex]
square the above equation:
[tex](828)^2=(\sqrt{388330+382554 \cos \theta})^2\\\\[/tex]
[tex]685584 =388330+382554 \cos \theta\\\\685584 -388330=382554 \cos \theta\\\\297254=382554 \cos \theta\\\\\cos \theta=\frac{297254}{382554}\\\\\cos \theta=0.777025\\\\\theta= \cos^{-1} 0.777025\\\\\theta= 39.01^{\circ}[/tex]
In how many ways can 5 people arrange themselves in a row for picture taking ?
Answer:
120 times
Step-by-step explanation:
There are 5 people to fill the first place, 4 remaining to fill the second, 3 remaining to fill the third, 2 remaining to the fourth place and only 1 remaining to fill the fifth. That means there are 5 factorial (5!) ways. 5! = 5 x 4 x 3 x 2 x 1 = 120.
A point is chosen at random on AK what is the probability that the point will be on FI don't reduce
Answer: 3/10
Step-by-step explanation:
The probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a number line shown in the picture:
Total Number partition or gaps between each letter(between A and K):
= 10
Total number of outcomes = 10
Total number of favorable outcomes(between F and I) = 3
The probability that the point will be on FI:
By using the definition of the probability:
= favorable outcomes/total outcomes
= 3/10
Thus, the probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.
Learn more about the probability here:
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On Monday, 248 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. How many students were in each bus?
Answer:
40 students in each bus.
Step-by-step explanation:
Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.
248-8=240
240/6=40
40 students in each bus.
u(3u+4)-u(u+2)
HELP PLEASE I NEED IT RN
could someone possibly help me ??
Answer:
b
Step-by-step explanation:
PLS HELP ITS DUE TODAY
Which has the greatest effect on the amount of salt in a salt marsh?
A) the number of animals living in the marsh
B) the closeness of the marsh to the ocean
C) the depth of the water in the marsh
D) the temperature of the water in the marsh
Answer:
the answer is B because ocean water has salt in ita + b - b =
what is it plzz help
Answer:
a + b - b = a
Step-by-step explanation:
Un grupo de estudiantes alquila un piso por el que tienen que pagar 420 € al mes. Uno de ellos hace cuentas
y observa que si fueran dos estudiantes más, cada uno tendría que pagar 24 € menos. ¿Cuántos estudiantes
han alquilado el piso? ¿Cuánto paga cada uno?
Answer:
I dont know but i just need these points
HELP I’M SUFFERING FROM THESE MATH PROBLEMS I need to get them done as soon as possible. *cries* please look at my other questions to see the problems
Answer:
Ok so I'm going to put the answer like this
1 3
2 4
1. Already answered
2. Acute, isosceles, 75
3. Right, Scalene, 97
4. Obtuse, Scalene 116
Aight onto number 2
In some 4.0 grading systems, a student's grade point average (GPA) is calculated by assigning letter grades the following numerical values.
A = 4.00 B− = 2.67 D+ = 1.33
A− = 3.67 C+ = 2.33 D = 1.00
B+ = 3.33 C = 2.00 D− = 0.67
B = 3.00 C− = 1.67 F = 0.00
Use this grading system to find this student's GPA. Round to the nearest hundredth.
Jerry's Grades, Fall Semester
Course Course Course
grade units
English A 3
Anthropology A 3
Chemistry B− 4
French C 3
Theatre B 2
Answer:
This student's GPA is 3.04.
Step-by-step explanation:
Student's GPA:
To find the students GPA, we find the sum of the multiplication of each numerical grade(A is 4, A- is 3.67 and so on) and the credit load of the course, divided by the number of courses.
His grades are:
4 in English worth 3 credits.
4 in Antropology worth 3 credits.
2.67 in Chemistry worth 4 credits.
2 in French worth 4 credits.
3 in Theatre worth 2 credits.
GPA:
[tex]\frac{4*3+4*3+2.67*4+2*4+3*2}{3+3+4+4+2} = 3.04[/tex]
This student's GPA is 3.04.
Answer:
3.04
Step-by-step explanation:
Select the correct answer.
Which is the apparent solution set of the system of equations graphed on the grid?
A.
{(-0.25,0), (4.25,0)}
B.
{(1,-4), (4,-1)}
C.
{(0,-5), (5,0)}
D.
{(0,-1), (2,-5)}
The solution set of the system of equations graphed on the grid is
{(1, -4), (4, -1)}. Hence, option B is the right choice.
What do we mean by the solution set to a system of equations?
The solution set to a system of equations is the set of all points that satisfies every equation in the given system.
How do we solve the given question?We are asked to find the apparent solution set of the system of equations graphed on the grid.
The solution set will be the set of common points on the graph as they satisfy both the equations in the given system.
The common points are (1, -4) and (4, -1), as the equations pass through these points simultaneously.
∴ The solution set of the system of equations graphed on the grid is
{(1, -4), (4, -1)}. Hence, option B is the right choice.
Learn more about the system of equations at
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1 Write the series 3 + 6x +9x2 +12x + ... with 45 terms in sigma notation.
Answer:
Step-by-step explanation:
It looks like every time the coefficient increases by 3 while the exponent increases by 1.
[tex]\\45\\\sum 3(n+1)x^{n}\\n = 0[/tex]
Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0
The exponent is simply n, because at the start is it zero [tex]x^0=1[/tex], then 1, then 2, so on.
The upper limit is 45 because 45 - 0 = 45 terms
Write an equation that can be used to find the degree measure of angle b
Don’t put links !
Answer:
Because they are supplementary angles, their sum is 180°.
∠b = 180° - 81°
∠b = 99°
Answer:
[tex]180-81=b[/tex]
Step-by-step explanation:
Supplementary angles are angles that add up to 180. Normally, they are supplementary because they lie adjacent to one another on a line.
In this base, b is supplementary to 81! Meaning, to find b we can simply subtract 81 from 180.
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Have a nice day, fam. Spread The Love <3
A textbook store sold a combined total of 354 history and sociology test books in a week. The number of history textbooks sold was two times the number of sociology textbooks sold. How many textbooks of each those were sold?
Answer: History textbooks sold = 236, Sociology textbooks sold = 118
Step-by-step explanation:
Given
- There are in total 354 books
- Let x be the number of sociology textbooks sold
- Let 2x be the number of history textbooks sold
Solve
Given
x + 2x = 354
Combine like terms
3x = 354
Divide 3 on both sides
3x / 3 = 354 / 3
x = 118
2x = 118 × 2 = 236
Hope this helps!! :)
Please let me know if you have any questions
Answer:
sociology textbooks = 118history textbooks = 236Explanation:
sociology textbooks = 2 × history textbooks
354/3 = 118
sociology textbooks = 118
history textbooks = 118×2 = 236
Find the interquartile range (IQR) of the data in the box plot below.
cm
Amount of rain in Vietnam cities
(centimeters)
+
++
0 1 2
3
4
5
6
7
8
9
10
Stuck? Watch a video or use a hint.
Answer:
1.5 cm
Step-by-step explanation:
Interquartile range (IQR) = Q3 - Q1
From the box plot given, the third quartile (Q3) is the data value that falls exactly at the end of the edge of the rectangular box = 7 cm
The first quartile (Q1) is the data value exactly at the beginning of the edge of the box = 5.5 cm
Interquartile range (IQR) = 7 - 5.5 = 1.5 cm
Martin spent $2.60 on his lunch. Sandwiches cost $1.25. Milkshakes cost $0.65. How much MORE does a sandwich cost than a milkshake?
Answer:
0.60 more
Step-by-step explanation:
Sandwich: 1.25
Milkshake: 0.65
We need to find the difference between the 2
1.25 - 0.65 = 0.6
A sandwich costs 60 cents MORE than a milkshake
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
a^2 + b^2 = c^2
Let c = hypotenuse = 2x
One of the legs = x. Let a or b = x.
I will let a = x. We can then say that b = 3.
3^2 + x^2 = (2x)^2
9 + x^2 = 4x^2
9 = 4x^2 - x^2
9 = 2x^2
9/2 = x^2
sqrt{9/2} = sqrt{x^2}
3/sqrt{2} = x
Rational denominator.
[3•sqrt{2}]/2 = x = a
Side 3 is given to be 3 feet. So, b = 3.
Hypotenuse = 2x
Hypotenuse = 2([3•sqrt{2}]/2)
Hypotenuse = 3•sqrt{2}
Understand?
The three sides are 3, [3•sqrt{2}]/2 and
3•sqrt{2}.
Four members of a relay team evenly split the distance of a race. Each person ran more than 100 meters. Which inequality can be used to represent d, the total distance the group ran?
4 d greater-than 100
4 d less-than 100
StartFraction d Over 4 EndFraction greater-than 100
StartFraction d Over 4 less-than 100
Answer:
The answer would be C.
Step-by-step explanation:
Since each person ran more than 100 meters, the answer would be greater than 100.
d is the total distance the group ran, not the individual distance, so it couldn't be 4d because that would mean it would be 4 times d.
The answer would be d divided by 4. d/4. That is because the total distance divided by 4 would be the individual distance.
Answer:
it is c
Step-by-step explanation:
Tomas drew a rectangle with an area of 6 square centimeters.what is the greatest possible perimeter of this rectangle?Explain please. i want 20 answers please
Write the property that matches the equation.
3+(4+7)=(3+4)+7
Answer:
associative property
Step-by-step explanation:
Answer:
Associative property of addition
Step-by-step explanation:
The associative property states that numbers can be added or multiplied regardless of their paratheses. This means that how the numbers are grouped can change and still be equal. Another example of this would be [tex]2+(6+5)=(2+6)+5[/tex]. In both equations the sides are balanced.
What is the area of the triangle?
Answer:
11 ½ * 4* 5.52 *5.5=11.....….Determine the intercepts of the line I need help quick!!!!!
Answer:
x-inter = (-40,0), y-inter= (0,15)
Step-by-step explanation:
the fitnessgram pacer test is an automated aerobic capacity test that progressively gets more difficult as it continues.
Write the equation in standard form for thelcircle with center (-8, -1) and radius 4
9514 1404 393
Answer:
(x +8)^2 +(y +1)^2 = 16
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)^2 + (y -k)^2 = r^2
For your center and radius, the equation is ...
(x -(-8))^2 +(y -(-1))^2 = 4^2
(x +8)^2 +(y +1)^2 = 16
5 in
1 in 3 in
1 in 1 in
3 in
5 in
1 in
3 in
What is the surface area of the solid?
O A. 15 square inches
OB. 40 square inches
O C. 23 square inches
D. 46 square inches
What is the radius?
What is the diameter?
What it the circumference? Use 3.14 for pi.
What is the area?
Use 3.14 for pi.
Answer:
Step-by-step explanation:
radius = 3mm
diameter = 6mm
circumference = 6 x 3,14 = 18.84 mm
area = 3^2 x 3,14 = 28.26 mm^2
Pls help i will mark brainliest
:D Stay cooool
Answer:
B) -40
C)22
D)-11
Step-by-step explanation:
a) 60
b) -40
c) 22
d) -11
hope it helps :D
Please help me with this question.
Answer:
-7
Step-by-step explanation:
hope it helps
What is the sum of 1 - 0.5 + 899
Answer:
899.5
Step-by-step explanation:
6. What equation would you use to solve for x?*
a tringle with sides of lengths 16, 30, and 35 is a right triangle
Answer: no
Step-by-step explanation:
when using the pythagorean theorm, the math doens't add up
16^2+30^2 does not equal 35^2
hope this helps!