According to the question
sinA =
Method : 1( By Theorem )
sinA =
Let,
Height from angle A = 3 x
Hypotenuse of triangle = 5 x
By Pythagoras Theorem
Hypotenuse^2 = height^2 + base^2
( 5 x )^2 = ( 3 x )^2 + ( base )^2
25x^2 - 3x^2 = ( base )^2
16x^2 = base^2
( 4x )^2 = ( base )^2
4x = base
Therefore, cosA =
=
=
And, tanA =
=
=
Method : 2 ( Identities )
We know, sin^2 A + cos^2 A = 1
Substituting value,
( 3 / 5 )^2 + cos^2 A = 1
cos^2 A = 1 - 9 / 25
cos^2 A = ( 25 - 9 ) / 25
cos^2 A = 16 / 25
cos^2 A = ( 4 / 5 )^2
cos A = 4 / 5
tanA = sinA / cosA
= ( 3 / 5 ) / ( 4 / 5 )
=3/4
Please help me.
last week, the price of oranges at the farmers market was $1.75 per pound. this week there were decreased by 20%. what are the prices of oranges this week?
$1.40
20% of 1.75 is .35, so subtract 0.35 from 1.75 and you get 1.4, carry a zero, and boom your answer.
Bruno cambió S/200 en tres billetes y ocho monedas. ¿De qué denominación fueron los billetes y monedas?
Answer:
Un billete de 50
Un billete de 100
Un billete de 10
8 de monedas de 5
Explicación paso a paso:
100 +50+10+8(5)=200
Step-by-step explanation:
11-2n and 4-5n
Solve it
Answer:
[tex]n=2\frac{1}{3}[/tex]
Step-by-step explanation:
Im assuming you mean
[tex]11-2n=4-5n[/tex]
Solve
[tex]11-2n=4-5n[/tex]
add [tex]5n[/tex] to both sides
[tex]11+3n=4[/tex]
subtract [tex]11[/tex] from both sides
[tex]3n=-7[/tex]
divide both sides by 3
[tex]n=2\frac{1}{3}[/tex]
HELP ME DUE IN 30mins !!!!
Find the measure of each angle indicated.
Answer:
1.50° 2.65°
Step-by-step explanation:
let x be the unknown angle
1. 32+98+x=180(sum of angles in a ∆ equal to 180°)
130+x=180
x=180-130
x=50°
2. 25+90+x=180
115+x=180
x=180-115
x=65°
whats the answer i need help with the following equations
It’s going up by fiveAnswer:
Step-by-step explanation:
A population of cattle is increasing at a rate of per year, where is measured in years. By how much does the population increase between the 3rd and the 5th years
Using the rate function given and the subtraction operation, the increase in the population is 8
The rate of increase per year :
500 + 4tIncrement in the third year :
t = 3 :500 + 4(3)
500 + 12 = 512
Increment in 5th year :
t = 5500 + 4(5)
500 + 20 = 520
Change in size between 5th and 3rd year :
520 - 512 = 8Hence, population increased by 8 cattle.
Learn more : https://brainly.com/question/25641959
The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 88 cm², what is the
length of the diagonal?
The length of the diagonal is
cm.
Give your answer to 2 decimal places.
Answer:
200cm^2
Step-by-step explanation:
When we need to find length of a rectangle we need to divide area by breadth.
Length of a rectangle = Area ÷ breadth.
ℓ = A ÷ b.
Similarly, when we need to find breadth of a rectangle we need to divide area by length.
Breadth of a rectangle = Area ÷ length.
33y + 16; y = 3
PLSSS HELP MEE
Answer:
115
Step-by-step explanation:
y = 3
33y + 16
So since we know what y equals, we replace y in the equation to find our answer
33(3) + 16
33 times 3
99 + 16
115
Hope this helped! Leave a comment if it did, and try asking your teacher if it's correct :)
Frankie and Gus swam for 10 minutes. When the time was up, Frankie had completed 10 7/10 laps and Gus 10 4/5 had completed laps. Frankie wrote the inequality 10 7/10 > 10 4/5 to show who swam the longest distance. Was he correct? Explain your answer by describing where the numbers would be positioned on a number line.
no links
Answer:
No. He was incorrect.
Step-by-step explanation:
10 4/5 = 10 8/10.
=> 10 7/10 < 10 8/10
The above inequality is correct.
Hoped this helped.
The inequality written by Frankie is incorrect. so 10 7/10 < 10 8/10 inequality is correct.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.
We have been given that Frankie and Gus swam for 10 minutes. When the time was up; Frankie completed 10 7/10 laps and Gus 10 4/5 had completed laps.
Since Frankie wrote the inequality to show who swam the longest distance as;
10 7/10 > 10 4/5
We can see that the fraction are;
10 4/5 = 10 8/10.
Thus, the inequality written by Frankie is incorrect.
So, 10 7/10 < 10 8/10
This inequality is correct.
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ2
PLEASE HELP
(delta math)
Triangle TUV is formed by connecting the midpoints of the side of triangle QRS.
The lengths of the sides of triangle TUV are shown. What is the length of RS?
Figures not necessarily drawn to scale.
The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars.
Private Colleges
53.8 42.2 44.0 34.3 44.0
31.6 45.8 38.8 50.5 42.0
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 14.4 21.8
(a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal places.)
(b) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.)
(c) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private − Public.)
We estimate that the mean annual cost to attend private colleges is $ more than the mean annual cost to attend public college
(d) Develop a 95% confidence interval (in thousand dollars) of the difference between the mean annual cost of attending private and public colleges. (Use Private − Public. Round your answers to one decimal place.)
giving brainliest pls helpp
Answer:
Maybe negative or undefined?
Step-by-step explanation:
Evaluate the determinant for the following matrix
letter a
Step by step Explanation
-5×4-1×1
-20-1
-21
hope this help you!
Who has the most money based on the table below?
4. A flea is very small, but can jump very high. For example, a flea that is 1/8 inch tall can
jump 12 inches in height. If a child who is 4 feet tall had the ability to jump like a flea,
how high could she jump?
Answer:
1,187.5
Step-by-step explanation:
Convert inch to feet or convert feet to inch. Convert inch to feet by:
Calculate the inch by subtracting it from the same amount of length(12) and multiplying it by 100
I don’t understand this part 5
Answer:
149ft.
Step-by-step explanation:
Well the dotted line is 11ft. The horizontal lines are 24ft. The slanted lines are 20ft. And the half circle line is 50ft. so if you add the numbers like this then you will have your answer.
1 1ft.
20ft.
20ft.
24ft.
24ft.
+50ft.
--------
149ft.
what is the answer for this
Answer:
w=6.3
Step-by-step explanation:
Im too lazy to put the steps U^U
Brainliest?
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
Answer:
the multiplication property of equality
Step-by-step explanation:
So the explanation is too long but that's the answer. Hope this helps luvv :)
A 20-foot string of lights will be attached to the top of a 12-foot pole for a holiday display. How far from the base of the pole should the end of the string of lights be anchored?
Answer:
8 feet away
Step-by-step explanation:
Because if there is 20 feet of lights, and the pole is 12 feet you subtract 20-12 which gets you 8.
What ratio is equivalent to 15/4? PLEASE HELP
Hello there! :)
The ratio that is equivalent to 15/4 is 45/12 (you multiply the numerator by 3 and the denominator by 3)
Therefore, your answer is: 45/12.Hope it helps!
~Just a felicitous girlie
[tex]SilentNature ;)[/tex] is here to help
5.
Which equation is represented by the graph?
y = 2x2 + 1
y = 2x2 − 1
y = 1/2x^2 + 1
y = x2 − 1
Answer:
y = x^2 − 1
Step-by-step explanation:
By the look of each graph, it looks like y = x2 − 1 is the answer.
Use the triangle above to find the trigonometric ratios
9514 1404 393
Answer:
sin(C) = 24/26 (c)cos(C) = 10/26 (a)tan(C) = 24/10 (d)Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the definitions of the trig relations:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
In the given triangle, the side adjacent to angle C is marked 10; the side opposite is marked 24; and the hypotenuse is marked 26.
1. sin(C) = 24/26
2. cos(C) = 10/26
3. tan(C) = 24/10
The height h(t), in feet above the ground, of a ball thrown into the air from the top of a building is give
by the function h(t) = – 16(t - 2)2 + 264, where t is the number of seconds the ball has been in the
air.
What is the maximum height the ball will reach?
feet
From what height was the ball thrown?
feet
When does the ball strike the ground?
sec
For what values of t does the function have meaning? That is, state the domain of the function that models
this situation. (use interval notation)
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
742 - 37 = 742 – 37
372 - 37 = 372 – 37
2 - 37 = 2- 37
732 - 37 = 732 - 37
Answer: Are there suppose to be Xs? All of them are equal to each other.
Step-by-step explanation:
Divide and state the remainder
(I need help solving)
(a^3 + 6a^2 - 11a -38) ÷ (a+7)
Answer:
remainder=-10
Step-by-step explanation:
a^3+6a^2-11a-38=a^3+7a^2-a^2-7a-4a-28-10=a^2(a+7)-a(a+7)-4(a+7)-10=(a+7)*(a^2-a-4)-10
or you can find remainder replacing a with -7:
-7^3+6*-7^2+7*11-38= -10
Answer:
- 10Step-by-step explanation:
(a³ + 6a² - 11a -38) ÷ (a+7) = a² - a - 4 rem (-10)
a³ + 7a²
- a² - 11a
- a² - 7a
- 4a - 38
- 4a - 28
-10
2. Sam can make 15 pizzas in 2.5 hours. At this
rate, how many could he make in an 8 hour work
day? What is Sam's rate per hour?
Answer:
48
Step-by-step explanation:
You can do it with cross multiplication
Ned calculated 17 divided by 4= 4.25. Use estimation to see if his answer is reasonable. How can you check his exact answer?
Answer:
you can use estimation by saying that 4 * 4 = 16 and 4 * 5 = 20
therefore your number has to be less that 5 but slightly greater than 4.
you can check his exact answer by doing division or checking it on a calculator.
Help please, can you check my answer? 15 points
I'm not sure about the last one.
*VIEW ATTACHMENT BELOW*
10.
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
–x + 5y = 14; (–5, –2)
A. y = 5^x – 27
B. y = -1/5x – 27
C. y = -1/5x – 15
D. y = -5^x – 27
Answer:
D. y = -5^x – 27
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to − x + 5 y = 14 .
y = − 5 x − 27 PERPENDICULAAR
...................................................................................................................................................
Find the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line parallel to − x + 5 y = 14 .
y = 1 /5 x − 1 PARALLEL
Write the equation of the graphed line in slope-intercept form.
The slope is a rise of 1 and over three and the y intercept is 3
Please help?
Answer:
yes the slope is 1 up 3left or 1 down 3 right
but you wrote it wrong y = 1÷3 + 3
because y intercept is 3
