Answers
Answer:
73.3333....
Step-by-step explanation:
please mark me brainliest
Answer:
a: t=13.6 cm
b: h=12.9 mm
Step-by-step explanation:
Hi there!
Let's start with a
in a, we are given a right triangle (notice the right angle), the length of the hypotenuse (the side OPPOSITE from the right angle) as 18 cm, one acute angle given as 41° and the length of one of the legs (the legs are the sides that make up the right angle) as t
We're asked to use the primary trigonometric ratios
Those ratios are:
Sine, which is opposite/hypotenuse
Cosine, which is adjacent/hypotenuse
Tangent, which is opposite/adjacent
We will be basing the ratio off of the 41° angle, so let's find out which sides will be which in reference to that angle
The opposite side will be the other leg, the unmarked side
The adjacent side will be t
The hypotenuse will be the side marked as 18 cm
So let's use cos(41) in this case
cos(41)=t/18
Plug cos(41) into your calculator, and remember to have the calculator in degree mode
cos(41)≈0.8 (rounded to the nearest tenth)
0.8=t/18
multiply both sides by 18
13.6 cm=t
It's already rounded to the nearest tenth :)
b.
We are given a right triangle, and the lengths of the legs as h and 9 mm, as well as one acute angle as 35°
We'll be basing our ratio off of the 35 degree angle, so let's find which sides will be which in reference to that angle
The opposite side will be the leg marked as 9 mm
The adjacent side will be the leg marked as h
The hypotenuse will be the unmarked side
Since we are given the lengths of the opposite and the adjacent, let's use tan(35)
tan(35)=9/h
Plug tan(35) into your calculator, and remember to have it in degree mode
tan(35)≈0.7
0.7=9/h
multiply both sides by h
0.7h=9
divide both sides by 0.7
h=12.9 mm (rounded to the nearest tenth)
Hope this helps!
Related Questions
how do you find the slope of -2
Answers
Which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10?
-10, -12, -14, -16, -18,...
0-2, 8, 18, 28, 38, ...
08, 18, 28, 38, 48, ...
O ,
10, 8, 6, 4, 2, ...
Answers
Answer:
10, 8, 6, 4, 2, ...
Step-by-step explanation:
For this problem, you were given the recursive rule. The recursive rule consists of an equation that represents how the former term is modified to get the current term and the first term of the sequence. F(1) means the first term; in this case, the first term is 10. The equation in the rule shows that 2 is subtracted from the last term to get the current term. This means that the common difference is -2 and each term decreases by 2. Therefore, the last option, 10, 8, 6, 4, 2, ..., is correct.
Use the probability distribution for the random variable x to answer the question. x 0 1 2 3 4 p(x) 0.12 0.2 0.2 0.36 0.12 Calculate the population mean, variance, and standard deviation. (Round your standard deviation to three decimal places.)
Answers
Answer:
[tex]\mu =2.16[/tex] --- Mean
[tex]\sigma^2 = 1.4944[/tex] -- Variance
[tex]\sigma = 1.222[/tex] --- Standard deviation
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.12} & {0.2} & {0.2} & {0.36} & {0.12} \ \end{array}[/tex]
Solving (a): The population mean
This is calculated as:
[tex]\mu = \sum x * P(x)[/tex]
So, we have:
[tex]\mu =0*0.12 + 1 * 0.2 + 2 * 0.2 + 3 * 0.36 + 4 * 0.12[/tex]
[tex]\mu =2.16[/tex]
Solving (b): The population variance
First, calculate:
[tex]E(x^2)[/tex] using:
[tex]E(x^2) = \sum x^2 * P(x)[/tex]
So, we have:
[tex]E(x^2) = 0^2*0.12 + 1^2 * 0.2 + 2^2 * 0.2 + 3^2 * 0.36 + 4^2 * 0.12[/tex]
[tex]E(x^2) =6.160[/tex]
So, the population variance is:
[tex]\sigma^2 = E(x^2) - \mu^2[/tex]
[tex]\sigma^2 = 6.16 - 2.160^2[/tex]
[tex]\sigma^2 = 6.160 - 4.6656[/tex]
[tex]\sigma^2 = 1.4944[/tex]
Solving (c): The population standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\sigma^2}[/tex]
[tex]\sigma = \sqrt{1.4944}[/tex]
[tex]\sigma = 1.222[/tex]
Someone pls help me due in 30 min. Given that x and y show inverse variation, complete the table.
Answers
Answer:
1st blank=[tex]y_{1}[/tex]
2nd blank=[tex]x_{1}[/tex]
3rd blank= [tex]y_{2}[/tex]
3*27=81
so 1*[tex]y_{1}[/tex]=81
hence [tex]y_{1}[/tex]=81
9* [tex]x_{1}[/tex]= 81
[tex]x_{1}[/tex]=9
27*[tex]y_{2}[/tex]=81
[tex]y_{2}[/tex]=3
Thus solved.
Hope this helps.
Please mark me as brainliest.
Which point is the center of the circle?
w
Opoint w
O point X
o point Y
O point Z
Answers
Answer:
X o punto Y O punto z
Step-by-step explanation:
The probability that a certain hockey team will win any given game is 0.3669 based on their 13 year win history of 379 wins out of 1033 games played (as of a certain date). Their schedule for November contains 12 games. Let X = number of games won in November.
Required:
What is the expected number of wins for the month of November?
Answers
Answer:
4.4028
Step-by-step explanation:
Probability of game (p) = 0.3669
Number of wins in November (n) = 12
Expected number of wins = p*n
Expected number of wins = 0.3669 * 12
Expected number of wins = 4.4028
So, the expected number of wins for the month of November is 4.4028.
A ball is thrown upward with an initial velocity (v) of 15 meters per second. Suppose that the initial height (h) above the ground is 7
meters. At what time will the ball hit the ground? The ball is on the ground when S = 0. Use the equation S = -52 + vt + h.
The ball will hit the ground in how many
seconds?
Answers
Answer:
Step-by-step explanation:
Your equation is weird. The position equation for this situation is
[tex]s(t)=-4.9t^2+15t+7[/tex] and set it equal to 0 to solve for the time it takes to hit the ground. Those times come out to be
t = 3.47 sec and t = -.411 sec. But since time can never be negative, our time is 3.47 seconds
(What is that -52?)
Simplify the expression
Answers
nen,
Problem: Two towns, A and B, located along the coast of the Pacific Ocean are 30
km apart on a north-south line. From a ship, the line of sight of town A is W30°N,
while that of town B is S400W.
1. How far is the ship from town A?
2. How far is the ship from town B?
Answers
Answer:
Step-by-step explanation:
From the picture attached,
m∠COB = 90° - m∠BOS
= 90° - 40°
= 50°
tan(30°) = [tex]\frac{AC}{OC}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{AC}{OC}[/tex]
AC = [tex]\frac{OC}{\sqrt{3}}[/tex] ------(1)
Similarly, tan(50°) = [tex]\frac{BC}{OC}[/tex]
BC = OC[tan(50°)] -------(2)
Now AC + BC = 30 cm
By substituting the values of AC and BC from equation (1) and (2),
[tex]\frac{OC}{\sqrt{3}}+OC(\text{tan}50)=30[/tex]
(1.769)OC = 30
OC = 16.96
1). cos(30°) = [tex]\frac{OC}{AO}[/tex]
[tex]\frac{\sqrt{3}}{2}= \frac{16.96}{OA}[/tex]
[tex]OA=19.58[/tex] cm
Therefore, distance between the ship and town A is 19.58 cm.
2). cos(50°) = [tex]\frac{OC}{OB}[/tex]
0.6428 = [tex]\frac{16.96}{OB}[/tex]
OB = 26.38 cm
Therefore, distance between the ship and town B is 26.38 cm.
Find the graph of the solution set of the following system of linear inequalities
Answers
Answer:
the graph looks like this:-
Step-by-step explanation:
for inequality 1
if we take x = 0 we get y = -4
and if we take y =0 we get x = 16
so we get 2 points (0, -4) and (16, 0) and the graph must pass thru these two.
now checking if the origin satisfies the inequality or not
take x and y = 0
0 + 0 is not greater than or equal to -16
so origin doesn't satisfy the inequality.
shade the graph on the side, of the line, opposite to where the origin is.
for inequality 2
if we take x = 0 we get y = 2
and if we take y =0 we get x = -⅔
so we get 2 points (0, 2) and (-⅔, 0) and the graph must pass thru these two.
the line should be a dotted line.
now checking if the origin satisfies the inequality or not
take x and y = 0
0 + 0 is less than 2
so origin satisfies the inequality.
shade the graph on that side of the line where the origin is.
[ red line shows graph 1 whereas the blue dotted line represents graph ]
I need help with this question
Answers
9514 1404 393
Answer:
x = 22, y = 123
Step-by-step explanation:
The sum of angles in a triangle is 180°.
(2x +13)° +57° +3x° = 180°
5x +70 = 180 . . . . . . . . . . . . . collect terms, divde by °
5x = 110 . . . . . . . . . . . subtract 70
x = 22 . . . . . . . . divide by 5
__
Angles in a linear pair are supplementary.
y° + 57° = 180°
y = 123 . . . . . . . . divide by °, subtract 57
Can someone help me ASAP. All them added together is = 454 .thanks
Answers
Answer:
the answer is 86°
Step-by-step explanation:
look at the photo
Land costing $140,000 was sold for $173,000 cash. The gain on the sale was reported on the income statement as other income. On the statement of cash flows, what amount should be reported as an investing activity from the sale of land?
Answers
Answer:
Amount should be reported in investing activities = $173,000
Step-by-step explanation:
Given:
Amount of land costing = $140,000
Sold amount of land = $173,000
Find:
Amount should be reported in investing activities
Computation:
Amount should be reported in investing activities = $173,000
The cash flow statement shows how much money is coming in and going out. The whole amount of cash received, which is 173,000 dollars, will be recorded as proceeds from the sale of land in the investment activity. As a result, the right answer is 173,000.
Marty's barber shop has one barber. Customers arrive at a rate of 2.2 per hour and haircuts are given at a rate of 5 customers per hour. Assume a Poisson arrival rate and an Exponential service time distribution.
Required:
a. What is the probability that one customer is receiving a haircut and one customer is waiting?
b. What is the probability that one customer is receiving a haircut and two customers are waiting?
c. What is the probability that more than two customers are waiting?
Answers
Answer:
Step-by-step explanation:
Arrival rate = ∧ = 2.2 customers per hour
Service rate = u = 5 customers per hour
1. Probability that one customer is receiving a haircut and one customer is waiting
P(2 customers)=(∧/u)^2 * (1-∧/u)=(2.2/5)^2 * (1-2.2/5)=0.1936*0.56= 0.108416
2. Probability that one customer is receiving a haircut and two customers are waiting
P(3 customers)= (∧/u)^3 * (1-∧/u)=(2.2/5)^3 * (1-2.2/5)= 0.085184
* 0.56= 0.04770304
3. Probability that more than two customers are waiting
P(more than 3 customers)=1- P(less than 3 customers) =
1- [P(0)+P(1)+P(2)+P(3)]=
= 1- [(1-2.2/5) +2.2/5*(1- 2.2/5) + 0.108416+0.04770304]=1-0.9625=0.0375
Which inequality is true? Use the number line to help.
-2.5 -2 -1.5 -1
-0.5 0
0.5
1
1.5
2
2.5
0 -1.5 0.5
0 -0.50
O-1.5 <-0.5
o 2205
Answers
Answer:
C. -1.5 < -0.5
Step-by-step explanation:
On a number line, the farther a number is to the right away from 0, the greater the number. While the farther it is from 0 to the left, the smaller it is.
Thus, the out of the options given, the only inequality given that is true is:
-1.5 < -0.5
This is because, -1.5 on the numberline is farther away to the left from 0 than -0.5. therefore, -1.5 is lesser than -0.5.
Lolz please help me I would gladly appreciate it
Answers
Pentagon has sum of 540°
Which ratios are less than 8 to 10? Check all that apply.
6/20
3:5
50/100
13:15
Answers
9514 1404 393
Answer:
6/20, 3:5, 50/100 are all less than 8/10
Step-by-step explanation:
It can help to give all the ratios a common denominator. (We'll use 100, and fudge the last one a bit.)
8/10 = 80/100 . . . . our reference value
__
6/20 = 30/100 . . . less than 8/10
3/5 = 60/100 . . . . less than 8/10
50/100 . . . . . . . . . less than 8/10
13/15 ≈ 86.7/100 . . . more than 8/10
Which of the following expressions has a Value of 6.18???
Answers
Answer:
B. -21.012÷ -3.4
its yr correct ans.
hope it helps
stay safe healthy and happy.which statements are true for the functions g(x)=x^2 and h(x)=-x^2? Check all that apply
Answers
Answer:
if x=0 then they have same value
1 and 2 options are out
for x=-1
g(-1)=1
h(-1)=-1
3 is true
4th
FALSE
for all values except 0, g(x)>h(x)
correct ones are
g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Step-by-step explanation:
What is 30 percent as a fraction
Answers
Answer:
[tex] \frac{3}{10} [/tex]Step-by-step explanation:
[tex]30\% \: \: as \: fraction[/tex]
[tex] \frac{30}{100} [/tex][tex] \frac{10(3)}{10(10)} [/tex][tex] \frac{3}{10} [/tex]Hope it is helpful....Answer:
[tex] \frac{3}{10} [/tex]Step-by-step explanation:
[tex] \frac{30}{100} [/tex][tex] \frac{10(3)}{10(10)} [/tex][tex] \frac{3}{10} [/tex]- joonie
Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6
Answers
Answer:
[tex]{ \tt{2x + 4y = 8 - - - (a)}} \\ { \tt{x = 3y - 6 - - - (b)}} [/tex]
Substitute for x in equation (a) :
[tex]{ \tt{2(3y - 6) + 4y = 8}} \\ { \tt{6y - 12 + 4y = 8}} \\ { \tt{10y = 20}} \\ y = 2[/tex]
Substitute for y in equation (b) :
[tex]{ \tt{x = (3 \times 2) - 6}} \\ x = 0[/tex]
2x+4y =8
x=3y-6 ——> x–3y=–6
x–3y = – 6 ] ×(–2) ——> –2x +6y=12
2x+4y=8
–2x+6y =12
__o_o____
0+10y=20 —> 10y= 20 —> y= 20/10 —> y= 2
2x+4y=8 —> 2x + 4(2) = 8 —> 2x + 8=8 —> 2x = 0 —> x=0
(x,y) —> (0,2)
A man walked 5km then traveled a certain distance by Nissan urban bus and twice as far by train. if the whole journey was 104km, how far did he traveled?
Answers
Answer:
33km
Step-by-step explanation:
Let the distance traveled by bus be x, then distance traveled by train would be 2x
Therefore,
5 + x + 2x = 104
5 + 3x = 104
3x = 104 - 5
3x = 99
x = 33
A small college has 1200 students and 80 professors. The college is planning to increase enrollment to 1450 students next year. How many new professors should be hired to keep the ratio of students to professors the same
Answers
The number of new professors needed to hire to keep the ratio of students and professors the same is 16.66 professors.
Given,
A small college has 1200 students and 80 professors.
The college is planning to increase enrollment to 1450 students next year.
We need to find how many new professors should be hired to keep the
ratio of students to professors the same.
What is meant by proportion?If the two ratios are the same then we called it that they are in proportion.
Example:
4/6 = 10/15
2/3 = 2/3
Find the ratio between the students and professors before the increase in enrollment.
= Number of students / Number of professors
= 1200 / 80
Dividing by 8
= 150 / 10
= 15 / 1
This means one professor for 15 students.
Find the number of students after the increase in enrollment.
= 1450
Find the number of new students enrolled.
= 1450 - 1200
= 250
Since the ratio between the students and professor is 15 students for one professor.
For 250 new students, the number of new professors we need is:
= 250 ÷ 15
= 16.66
This means we need around 16.66 new professors.
Thus the number of new professors needed to hire to keep the ratio of students and professors the same is 16.66 professors.
Learn more about finding the number of students in a college with students and professors relation is given here:
https://brainly.com/question/4773301
#SPJ2
what is defination of equation? And why is it called a equation.
Answers
An equation can be defined as a mathematical statement in which two expressions are set equal to each other. In simple words, equations mean equality i.e. the equal sign. Since equations are all about “equating one quantity with another”,they are simply known as equation
Answer:
In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. ... For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Compare 3/10 and 1/5 by creating common denominators. then draw fractions models to show that you have written the correct sign. PELASEEEEEE
Answers
Answer:
[tex]\implies \dfrac{2}{10}< \dfrac{3}{10} [/tex]
Step-by-step explanation:
We need to compare the given two fractions .The given fractions are ,
[tex]\implies \dfrac{3}{10} [/tex]
[tex]\implies \dfrac{1}{5} [/tex]
Firstly let's convert them into like fractions . By multiplying 1/5 by 2/2 . We have ,
[tex]\implies \dfrac{1}{5} =\dfrac{1*2}{5*2}=\dfrac{2}{10} [/tex]
Now on comparing 2/10 and 3/10 we see that ,
[tex]\implies 2< 3 [/tex]
Therefore ,
[tex]\implies \dfrac{2}{10}< \dfrac{3}{10} [/tex]
SOMEONE HELP PLEASE! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.
Answers
Approximately 10% of all people are left-handed. Consider a grouping of fifteen people.
Write the probability distribution
Answers
Answer:
Step-by-step explanation:
Answer:
15*.1=1.5
so either one or two people of the 15 would be left handed
Help please. Need to get this right to get 100%
Answers
Answer:
Step-by-step explanation:
[tex]f(x) = \frac{4}{x}\\\\f(a) = \frac{4}{a}\\\\f(a+h) = \frac{4}{a+h}\\\\\frac{f(a+h) - f(a)}{h} = \frac{\frac{4}{a+h} - \frac{4}{a}}{h}[/tex]
[tex]=\frac{\frac{4(a)}{(a+h)a} - \frac{4(a+h)}{a(a+h)}}{h}\\\\=\frac{\frac{4a - 4a - 4h}{a(a+h)}}{h}\\\\=\frac{\frac{ - 4h}{a(a+h)}}{h}\\\\= \frac{-4h}{a(a+h) \times h}\\\\= -\frac{4}{a(a+h)}\\\\[/tex]
the compound interest of the rate of 5 percent on an amount of 4000$ at the end of 2 years
Answers
Answer:
hope you find it useful and helpful
PLEASEEEE HELPP MEEEE I NEED HELPPPPPPP PLELASEEEEEE I REALLY DONT GET THIS AT ALL I JUST WANNA PAST THE 6th grade
Answers
-it’s supposed to be base times height
She converted the mixed number into an improper number incorrectly
-supposed to be 37/5
She multiplied incorrectly
- 70/5
