Answer:
The magnitude of the resultant force is:
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]\theta=1.2^{\circ}[/tex]
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
Sum of x-component vector forces.
[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]
[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]
[tex]F_{tot-x}=100.3 \: pound[/tex]
Sum of y-component vector forces.
[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]
[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]
[tex]F_{tot-y}=2.1 \: pound[/tex]
The magnitude of the resultant force is:
[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]
[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]
[tex]\theta=1.2^{\circ}[/tex]
I hope it helps you!
HELP PLEASE ON NUMBER 5!
Answer:
2.5 hours is the time it will take.
Step-by-step explanation:
50t + 55t-30 = 235
105t = 265
T = 2.5 hours (rounded to one d.p)
Use this table of values for the rate of rainfall over time.
Rate of Rainfall (mm per hour) Time 6:00 am 20 6.15 am 28 630 am 3.0 645 am 35 7:00 am 3.8 7:15 am 42 7:30 am 4.8 7:45 am 5.6 8:00 am 4.0 8.15 am 3.3 8:30 am 1.8 8:45 am 0.4 9:00 am 1.2.
An approximation of the total amount of rainfall that falls between 6:00 a.m. and 9:00 a.m. using a midpoint sum with 6 equal subintervals is
a. 9.3 mm.
b. 9.6 mm.
Solution :
Here the subintervals of equal length will be :
[tex][6:00, 6:30], [6:30, 7:00], [7:00, 7:30], [7:30, 8:00], [8:00, 8:30], [8:30, 9:00][/tex]
So thee mid points are
[tex]x_1 = 6:15, \ x_2=6:45, \ x_3=7:15, \ x_4=7:45, \ x_5, 8:15, \ x_6 = 8:45[/tex]
The length of each sub-interval is = [tex]\frac{9-6}{6} = \frac{3}{6} = 0.5[/tex]
So, total amount of rainfall will be :
[tex]$=0.5 \sum^6_{i=1} f(x_i)$[/tex]
[tex]$=0.5\left( f(x_1)+f(x_2)+....+ f(x_6)\right)$[/tex]
= 0.5 (2.8 + 3.5 + 4.2 + 5.6 + 3.3 + 0.4)
= 0.5 (19.8)
= 9.9
The total amount of rainfall that falls between 6:00 a.m. and 9:00 a.m. using a midpoint sum with 6 equal subintervals is 9.9.
Given that,
The rate of rainfall (mm per hour) over time.
Rate of rainfall;
6;00 6;15 6;30 6;45 7;00 7;15 7;30 7;45 8;00 8;15 8;30 8;45 9;00
Time
2.0 2.8 3.0 3.5 3.8 4.2 4.8 5.6 4.0 3.3 1.8 0.4 1.2
We have to determine,
0.4 9:00 am 1.2.
The total amount of rainfall that falls between 6:00 a.m. and 9:00 a.m. using a midpoint sum with 6 equal subintervals is?
According to the question,
Rate of rainfall;
6;00 6;15 6;30 6;45 7;00 7;15 7;30 7;45 8;00 8;15 8;30 8;45 9;00
Time
2.0 2.8 3.0 3.5 3.8 4.2 4.8 5.6 4.0 3.3 1.8 0.4 1.2
Here, the midpoints sum with 6 equal subintervals are,
[tex]\rm x_1 = 6;15, \ x _2 = 6;45, \ x_3 = 7;15, \ x_4 = 7;45, x_5 = 8;15 , \ x_6 = 8;45[/tex]
Then, the length of each subinterval is,
[tex]= \dfrac{9-6}{6}\\\\= \dfrac{3}{6}\\\\= \dfrac{1}{2}[/tex]
The total amount of rainfall that falls between 6;00 to 9;00 am using the midpoint subinterval is,
[tex]\rm = \dfrac{1}{2} \sum^{6}_{i=0} f(x_i)\\\\= \dfrac{1}{2} \sum^{6}_{i=0} f(x_1)+ f(x_2) + f(x_3) + f(x_4) +f(x_5)+f(x_6)\\\\= \dfrac{1}{2} (2.8+ 3.5+4.2+ 5.6+3.3+0.4}\\\\= \dfrac{1}{2} \times 19.8\\\\= 9.9[/tex]
Hence, The total amount of rainfall that falls between 6:00 a.m. and 9:00 a.m. using a midpoint sum with 6 equal subintervals is 9.9.
For more details refer to the link given below.
https://brainly.com/question/795909
Find the value of x
A. 20
B. 28
C. 10
D. 50/7
Answer:
x=28
Step-by-step explanation:
Step 1, comparing triangles:
Let us look at [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex].
They both share [tex]\angle A[/tex] ([tex]\angle A=\angle A[/tex])[tex]\angle ABC = \angle BDE[/tex] (Corresponding Angle Theorem)[tex]\angle ACB = \angle CED[/tex] (Corresponding Angle Theorem)Therefore, because of AAA (Angle Angle Angle), [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex] are similar.
Step 2:
Because the two triangles are similar, their sides should be proportional. Notice that [tex]\overline{AB}[/tex] and [tex]\overline {AD}[/tex] should be proportional.
Therefore, [tex]\overline{AB}[/tex]: [tex]\overline {AD}[/tex] =
[tex]12:30+12=\\12:42=\\2:7[/tex]
(Note, [tex]\overline {AD}[/tex] = [tex]\overline{AB}[/tex]+ [tex]\overline{BD}[/tex]=12+30)
Step 3:
We figured out that [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex] have proportional sides of 2:7. Therefore, [tex]\overline{BC}[/tex] and [tex]\overline{DE}[/tex] should also have a ratio of 2:7.
[tex]8: \overline{DE}=2:7\\8:\overline{DE}=8:28\\\overline{DE}=\fbox{28}[/tex]
x=28
I hope this helps! Let me know if you have any questions :)
Answer:
x = 20
Step-by-step explanation:
If we look at the given diagram, we will see that ΔABC and ΔADE are similar. Because they a similar we know that corresponding sides are in proportion. In order to solve this question, we need to know what the coefficient of similarity is.
AB and AD are corresponding sides, in order to get from 12 to 30 we need to multiple 12 by 2.5. That means that the coefficient of similarity between the two triangles is 2.5. To get x (length of DE) we need to multiply the length of BC by the coefficient of similarity. And so we get...
x = 2.5(BC)
x = 2.5(8)
x = 20
it took thandile 30minutes to fly the distance of 192,4kilometers between pilanesburg nationalpark an johannesburg.calculate the average speed of the aircraft in kilometres per hour
Answer:
Average speed = 3848 km / h
Step-by-step explanation:
Given:
It took Thandile 30 minutes to fly the distance of 1924 km between Pilanesburg National Park and Johannesburg.
To find:
Calculate the average speed.
Solution:
Average speed = distance / time
30 min = 0.5 h => 1924 / 0.5
= 3848 km / hours
Answer:
Average speed = 3848 km / h
hope this helps.....
can you help me?
(4n+13)+(6+7n)
i will mark brailest first to answer correct if you tell how to do it??
Answer:
11n + 19
Step-by-step explanation:
The parentheses can be removed immediately without affecting the clarity of this expression:
4n + 13 + 6 + 7n
Next we combine like terms, obtaining:
11n + 19
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(4n + 13) + (6 + 7n)}\\\\\large\textsf{ = 4n + 13 + 6 + 7n}\\\\\large\textsf{COMBINE the LIKE TERMS}\\\\\large\textsf{(4n + 7n) + (13 + 6)}\\\\\large\textsf{4n + 7n = \boxed{\large\textsf{\bf 11n}}}\\\\\large\textsf{13 + 6 = \boxed{\large\textsf{\bf 19}}}\\\\\\\boxed{\huge\textsf{= 11n + 19}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 11n + 19}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A research team conducts a survey to determine the area of land used for farming in Iowa. The team randomly selects house addresses and sends the survey by mail. Which type of sampling method is the research team using?
A. Systematic random sampling.
B. Simple random sampling.
C. Multi-stage sampling.
D. Cluster sampling.
Answer:
B. Simple random sampling.
Step-by-step explanation:
From the question we are informed about a research team conducts a survey to determine the area of land used for farming in Iowa. The team randomly selects house addresses and sends the survey by mail. In this case, the type of sampling method used is the Simple random sampling. A simple random sample can be regarded as a subset of a statistical population, whereby each member of this subset posses an equal probability of them being chosen. A simple random sample can be portrayed as an unbiased representation of a group.
Simple random sampling is utilized in to culling smaller sample size out of larger population so that it can be used to research and make generalizations as regards larger group.
A basket contains five apples, five peaches, and three pears. You randomly select a piece of fruit. what is the chance you pick an apple or a peach?
Answer:
10/13
Step-by-step explanation:
The chance that you pick an apple is 5/13 and the chance it's a peach is 5/13 because in total there's 13 fruits.
Since it says what's the chance it's either an apple OR peach you add these two fractions: 5/13+5/13 = 10/13
If the question said what's the probability you pick an apple AND a peach then you'd mutiply not add.
mace
II. Directions: Solve for the answers of the problems below.
3. Bruno is running in a plaza having a radius of 75 meters. After having a complete round, he
wants to check if how many meters he ran. Please help Bruno.
Answer:
150
Step-by-step explanation:
radius is the half of one whole circle so
75 is the half to complete it add another 75
so 75+75 = 150
carry on learning
correct me if im wrong
if im right follow me
PLS HELP ASAP !!!! PLS !! will mark whoever gets it right as brainliest !
Answer:
128° because its vertical with ∠1
I think, but I'm not sure.
the mean of three numbers is 8 two of the numbers are 6 and 11 work out the third number
show workibf out
Answer:
7
Step-by-step explanation:
To find the number, first multiply 8 by 3, since that is how you find the mean.
8 x 3 = 24 (total)
x + 6 + 11 = 24
x = 24 - 6 - 11
x = 7
Inverse:
7 + 6 + 11 = 24
Mean = 24/3 = 8
Hope this helps!
9 cm
7 cm
7 cm
7 cm
The area of one of the bases of the above figure is about 21.2 cm2. The
surface area of the figure is?
A. 273.4 cm2
B. 210.4 cm2
C. 231.4 cm2
D. none of the above
Answer:
d
Step-by-step explanation:
none of the above mhhmm
Answer:
the answer to the question is 231.4 cm^2
Step-by-step explanation:
just got it wrong
Translate and solve: 82% of what number is 369?
Answer:
82% of what number is 369
82% of 450 is 369
Answer:
number is 450
Step-by-step explanation:
let the number be x
82% of x=369
[tex]\frac{82}{100}[/tex]x = 369
82x=369*100
x=36900/82
x=450
(2-i)(2+i) please lmk the answer to this question.
Answer:
[tex]5[/tex]
Step-by-step explanation:
[tex](2−i)(2+i)[/tex]
[tex]2(2+i)−i(2+i)\\ 2⋅2+2i−i(2+i) \\2⋅2+2i−i⋅2−ii[/tex]
[tex]4+2i−2i \\ 5+2i−2i \\ 5+0 \\ 5[/tex]
Hope it is helpful...help..............................................................
Answer:
This will now be ⁴√(7^9)
Step-by-step explanation:
c=4
a=7
b=9
kathy runs a 26.2-mi;e marathon at an average pace of 6.2 minutes per mile how long will it take her to finish the marathon round your answer to the nearest minute
Answer:
162 minutes
Step-by-step explanation:
Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162
question- pls help me find the ans
Answer:
(c) 3,5 is the correct answer
if the sum of five consecutive even integers is 740 what is the largest value of this
9514 1404 393
Answer:
152
Step-by-step explanation:
The third one is their average, so is 740/5 = 148. The largest is 4 more than that, so ...
the largest value of the group is 152
_____
The numbers are 144, 146, 148, 150, 152.
The largest number when sum of five consecutive even integers is 740 is 152.
What is consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Example: 1,2,3,4,5,6
1,3,5,7,9,11
2,4,6,8,10,12
Difference between nearer numbers always equal
Given,
There are 5 consecutive even integers.
Then difference between each nearer number is 2
Let the first number be x
Then another 4 numbers be
(x + 2), (x + 4), (x + 6), (x + 8)
Now
According to question
(x + x + 2 + x + 4 + x + 6 + x + 8) = 740
5x = 740 - 20
x = 144
And the highest number is x + 8 = 152
Learn more about Numbers:
https://brainly.com/question/17429689
#SPJ2
Help please If f(x) = -3x - 5 and g(x) = 4x-2, find (1-9)(x).
9514 1404 393
Answer:
-7x -3
Step-by-step explanation:
(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)
(f -g)(x) = -3x -5 -4x +2 = (-3-4)x +(-5+2)
(f -g)(x) = -7x -3
Find c. Round to the nearest tenth:
Step-by-step explanation:
what is the question please
I need help with this fast
Answer:
1. positive
2. No
(for number 3, I'm not sure if my answer to it is going to be correct)
Step-by-step explanation:
1. the dots look like they are going up
2. there are no outlying dots that look unusual
PLS HELP!!!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Step-by-step explanation:
SA=
[tex]2\pi \gamma {2} + 2\pi \gamma h[/tex]
[tex]2\pi(7){2} + 2\pi(7)(20)[/tex]
[tex]2\pi(49) + 2\pi(140)[/tex]
[tex]98\pi + 280\pi[/tex]
[tex]378\pi[/tex]
[tex]1187.52cm[/tex]
What is the approximate value of the y intercept and what does it mean in this example?
Answer:
Step-by-step explanation:
By using the utility for the line of best fit,
Equation of the line of best fit will be,
y = 1.5x + 1.32
Here, y - intercept of the line = 1.32
Here, y-intercept represents the amount of bean production when the level of water applied was zero.
Need help ASAP .............
Answer:
A
Step-by-step explanation:
Find the length of the arc
in terms of pi.
A
90°
B AB = [?]π
C
10
Hint: The arc is only part of the circle.
Enter
Answer:
5pi
is answer
Step-by-step explanation:
hear is your answer in attachment
What is the volume, in cubic in, of a rectangular prism with a height of 19in, a width of 17in, and length of 18in?
Answer:
5814
Step-by-step explanation:
V= width x height x length
V=17·19·18=5814
Solve for angle C please
Answer:
13.3 cm
Step-by-step explanation:
We can use the Pythagoream Theorem to identify any missing angles!
[tex]a^{2} +b^2=c^2[/tex]
In this case, will leave c for a^2!
[tex]a^2+20^2=24^2[/tex]
[tex]a^2+400=576[/tex]
[tex]576-400=a^2[/tex]
[tex]a^2=176[/tex]
[tex]\sqrt{176} = 13.3[/tex]
I’m looking at one of my past tests and I don’t remember how I solved this. Can someone explain please :)
Answer:
Step-by-step explanation:
588000-540000=48000
48000/540000=8.8%
8.8%/2 years =4.4%
The following function represents exponential growth or decay.
P= 2.9(1.05)^t
a. The initial quantity is :_______________
b. The initial quantity is :__________
c. Is the quantity growing or decaying?
Answer:
a) The initial quantity is 2.9.
b) The initial quantity is 2.9.
c) The multiplier is 1.05 > 1, and thus, the quantity is growing.
Step-by-step explanation:
Exponential equations:
Have the following format:
[tex]A(t) = A(0)(k)^t[/tex]
In which A(0) is the initial amount and k is the multiplier.
If k > 0, the quantity is growing.
If k < 0, the quintity is decaying.
In this question:
[tex]P(t) = 2.9(1.05)^t[/tex]
a, b. The initial quantity is
P(0). So
[tex]P(0) = 2.9(1.05)^0 = 2.9*1 = 2.9[/tex]
The initial quantity is 2.9.
c. Is the quantity growing or decaying?
The multiplier is 1.05 > 1, and thus, the quantity is growing.
the following is a summary of the violent crime rate violent crimes per 100,000 population we're all states of a country in a certain year complete parts a through D
Answer:
yes indeed it is
Step-by-step explanation:
Levers are not a problem in the mechanical system. But, if you put two different simple machines that do not cooperate, they will be able to make the question that you need to. T or F
Answer:
True
Step-by-step explanation:
I am assuming that you are asking if two different simple machines that do not cooperate will work or not.
The answer to that is True.
Two things that do not work together will not work together. The two simple machines can not work with each other.
So, the answer is True. Best of Luck!