Answers
Answer:
5: 40.6
6: 26.57
7: 22.21
8: 66.35
Step-by-step explanation:
I am going to assume that you know
SOH CAH TOA (if you don't just ask)
For 5: we have the adjacent and opposite side, we need the angle
I think here it's easiest to use TOA
so we have
tanx=60/70
take the arctan or tan^-1 and get
arctan(60/70)=x x= 40.6
For number 6 it's just the same deal
tanx=10/20
arctan(10/20) =x =26.57
For number 7 we have the adjacent side and we need to find the oppsoite side
for this I will once again use TOA
tan(48)=x/20
20tan(48)=x=22.21
For number 8 it's the same deal as 7
tan53=x/50
50tan53=x=66.35
Related Questions
A unit vector lies in the xy plane, at an angle of 153 degrees from the x axis, with a positive y component. What is the unit vector
Answers
Answer:
unit vector = -0.891i + 0.454j
Step-by-step explanation:
Given that;
magnitude of unit vector =
angle of 153° degrees from the x axis, with a positive y component
{ second quadrant }
so, x and y components of the vector are;
x component = 1 × cos(153°) = - 0.891
y component = 1 × sin(153°) = 0.454
⇒ -0.891i + 0.454j
Therefore, unit vector = -0.891i + 0.454j
PLEASE HELP!!!!
f(x)= {____for____
{____for____
Answers
9514 1404 393
Answer:
[tex]f(x)=\left\{\begin{array}{ccc}3&\text{for}&-5\le x < 0\\1-x&\text{for}&0<x \le 5\end{array}\right.[/tex]
Step-by-step explanation:
The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.
The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.
Then the piecewise definition is ...
f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}
what time will it be in 3/4 hour
Answers
Answer:
45 minutes
Step-by-step explanation:
so 1 hr= 60 minutes so you do 3/4 x 60min which is 45 minutes. Feel Free to mark Brainliest and have a great day!
3/4 of an hour is equal to 45 minutes.
To find 3/4 of an hour, we need to multiply the value of one hour by 3/4.
One hour is equal to 60 minutes.
To calculate 3/4 of an hour:
= 3/4 x 60 minutes
= (3/4) x 60
= 45 minutes.
Therefore, 3/4 of an hour is equal to 45 minutes.
Learn more about Fraction here:
https://brainly.com/question/10354322
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what is the answer? ;3
Answers
6/2*3
Now you calculate the expression
6/2*3
The answer is 9, therefore 9 is your answer
first down, a football team lost 16 yd. After two
downs, the team had an overall gain of 5 yd. How
many yards were gained on second down?
Answers
Answer: +21
Step-by-step explanation:
Based on the information given, we are informed that at first down, a football team lost 16 yd and they after two downs, the team had an overall gain of 5 yd.
The number of yards that were gained on second down can be represented by x. We can then form the question as an equation as:
x - 16 = 5
x = 5 + 16
x = 21
The team gained 21 yards.
which expression is NOT equivalent to the other three
a. 2x-2.5 + 3x-3
b. 5(x-1.1)
c. 5 (x-5.5)
d. 5x-5.5
Answers
Step-by-step explanation:
it either b or c hope this help
Justin needs to memorize words on a vocabulary list for Spanish class. He has 30 words to memorize, and he is two-thirds done. How many words has Justin memorized so far
Answers
20/30=2/3
Please help, I will give brainliest, I am struggling badly.
Answers
Answer:
y= -3/5 x
Step-by-step explanation:
I hope this helps!!!
The total profit made by an engineering firm is given by the function p=x^2 - 24x +5000 where x is the number of clients the firm has and p is the profit.
1. Find the maximum profit made by the company.
2. How many clients are necessary to reach the profit outlined in part one?
Answers
Answer:
[tex]5144[/tex]
[tex]12[/tex]
Step-by-step explanation:
The function [tex]p=x^2-24x+5000[/tex] is incorrect as its roots are imaginary [tex]b^2-4ac=576-4\times 5000=-19424<0[/tex].
So, the correct function is
[tex]p=-x^2+24x+5000[/tex]
Differentiating with respect to [tex]x[/tex] we get
[tex]p'=-2x+24[/tex]
Equating with zero
[tex]0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12[/tex]
Double derivative of the function
[tex]p''=-2<0[/tex]
So, the function is maximum at [tex]x=12[/tex]
Maximum profit is
[tex]p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144[/tex]
The maximum profit made by the company is [tex]5144[/tex]
The number of clients required to make the maximum profit is [tex]12[/tex].
I'M BEGGING YOU. HELP ME. There is an image of the question.
Answers
Answer:
24 times greater
Step-by-step explanation:
48,000/2000
While selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs. Gummy candy packets come in five sizes, while packets of licorice nibs come in two. If he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos. If he chooses licorice nibs, he must choose between red and black. How many choices does he have
Answers
Answer and explanation:
First Prof. Murphy has to choose between two alternatives: gummy candy or licorice nibs
To find total choices, we only need to multiply number of sizes for each alternative and then add totals for each alternative together
So if Prof Murphy chooses gummy candy. He has sizes= 5 choices and types =3 choices, therefore he has 5×3= 15 choices for gummy candy
If he chooses licorice nibs, he has sizes = 2 choices and types= 2 choices, therefore he has 2×2= 4 choices for licorice nibs
Total choices: 15+4=19
He has 19 different options for selecting candy.
Since while selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs, and gummy candy packets come in five sizes, while packets of licorice nibs come in two, and if he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos, while if he chooses licorice nibs, he must choose between red and black, to determine how many choices does he have, the following calculation must be performed:
Number of sizes x number of options = X Gummy candy = 5 x 3 = 15 Licorice nibs = 2 x 2 = 4 15 + 4 = 19
Therefore, he has 19 different options for selecting candy.
Learn more in https://brainly.com/question/238045
Two students on roller skates stand face-toface, then push each other away. Which student will always have the fastest speed
Answers
Answer:
The student with lower weight will move faster than the one with higher weight.
Step-by-step explanation:
The students are on roller skates and it is assumed that their wheels are identical. They are on a frictionless flat horizontal ground. According to Newton's Law F=ma
Mass of student 1 is 97 kg
Mass of student 2 is 61 kg
The force magnitude is assumed to be equal and acceleration is same. The student with higher weight will have lesser force exerted than the student with lighter weight.
Please help . I will mark brainliest
Answers
Answer:
c: car b was 10 miles east of car a
Step-by-step explanation:
Answer:
Im pretty sure its A
Step-by-step explanation:
For each statement below, determine whether the statement is a decision variable or not.
* Number of Aqua-Spa Produced.
* Number of Hydro-Lux Produced.
* Number of Pumps Purchased.
* Amount of Available Labor Hours.
* Amount of Available Tubing Available.
* Profit of Aqua-Spa.
* Profit of Hydro-Lux.
Answers
Answer and explanation:
Decision variables are variables that are independent(indeoendent variables) and can be controlled by the decision maker. Decision variables influence outcome or result of a solution, usually denoted x in linear programming.
Decision variables above include:
Number of Aqua-Spa Produced.
* Number of Hydro-Lux Produced.
* Number of Pumps Purchased.
* Amount of Available Labor Hours.
* Amount of Available Tubing Available
Round to the nearest thousand.
88,651
6th grade mafs
Answers
Answer: 89,000
Step-by-step explanation:
Answer:
90,000
Step-by-step explanation:
88 = 90
Solve for X
4
= 3
X + 9
Give your answer as an improper fraction in its simplest form.
X =
Answers
Answer:
x= −5 /3
Step-by-step explanation:
HELPPPPPPPP ASAP HELPPPPP PLSSSSSSSSSS
Answers
A water mill grinds corn to make cornmeal. The water wheel has a radius of 18 feet. The wheel is rotating at 8 revolutions per minute. Find the linear speed, in feet per minute, of the water.
Answers
Answer:
904.9 feet per minute
Step-by-step explanation:
The Angular distance can be calculated using below expression
S= r θ ..............eqn(1)
Where
θ = angular distance travelled
r= Radius= radius of 18 feet
But angular distance can also be expressed as
θ = wt...................eqn(2)
w= angular speed= 8 rev per minute= (8 × 2π)
t= time
Velocity can also be expressed as
V= s/t............eqn(3)
Where
V= velocity
s= distance
t= time
Substitute eqn(2) into eqn(3)
V=( r θ)/ t................eqn(4)
Substitute eqn(2) into eqn(4)
V=( r w t)/ t
V= r w ..............eqn(5)
V= 18×(8 ×2π)
=288π
= 904.9 feet per minute
Hence, the linear speed, in feet per minute, of the water. is 904.9 feet per minute
What is the simplified form of (11 - 6i) - (-4 - 12i)?
Answers
Hopefully it’s right :)
Find the rule and the graph of the function whose graph can be obtained by performing the translation 4 units right and 3
units down on the parent function f(x) = xl.
Answers
Answer:
oh dayung neyece
Step-by-step explanation:
noh eye wownt because garebahge
Answer:
no tienes idea de lo que estoy diciendo, chico
Step-by-step explanation:
Part A:
In the statement for step 2, ∠A is congruent to which angle? Which angle is ∠B congruent to?
Part B:
What is the missing statement in step 3?
Answers
Answer:
Step-by-step explanation:
What number must be added to the expression below to complete the
square?
x² -200
A. 100
B. 10
C. -100
D. -10
Answers
-5(3u + 1) + 10u
please helpoo
Answers
This is just a guess from doing the math, but I think the answer is -1u. Sorry if its wrong
Answer:
-5(u+1)
Step-by-step explanation:
hopefully the answer helps
PLEASE HELP THIS IS DUE TODAY How do you use proportions to calculate missing dimensions in scale drawings?
Answers
Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet
Step-by-step explanation:
change 12 out of 40 to a percentage
Answers
decimal two places back
30%
You deposit $2000 in a savings account that earns 7% interest
compounded daily.
What is the balance after 7 years?
Answers
Answer:
Around $18,000.
Step-by-step explanation:
What would be 82% of 50
Answers
80% = 40
2% = 1
82% = 41
41
Answer:
82% of 50 is 41
Step-by-step explanation:
✧brainliest appreciated✧
A school has 764 students of the students 189 and third grade which equation can be used to find s the total number of students in all of the other grades.
Answers
Answer:
A. 118 + s = 764
Step-by-step explanation:
I hope this could help :)
Which expression represents the phrase?
"20 decreased by the sum of 6 and b."
Answers
Answer:
The answer is D.
Step-by-step explanation:
The phrase "20 decreased by the sum of 6 and b." means that since the word sum is the word for the result of two numbers being added together, it would make sense if you look at ( 6 + b ), and since you're also decreasing the result by 20, that would mean subtracting it by 20, so you get 20 - ( 6 + b ).
I hope this helps you :D
527856 \ 8
How do I solve this with long division to find my quotient?
Answers
Answer:
65,982
Step-by-step explanation:
Look at the attached image for the step by step solution