Answer:
[tex]\sin \alpha = \frac{5}{13}[/tex], [tex]\cos \alpha = \frac{12}{13}[/tex], [tex]\tan \alpha = \frac{5}{12}[/tex], [tex]\cot \alpha = \frac{12}{5}[/tex], [tex]\sec \alpha = \frac{13}{12}[/tex], [tex]\csc \alpha = \frac{13}{5}[/tex]
Step-by-step explanation:
The angle [tex]\alpha[/tex] is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:
[tex]\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\sin \alpha = \frac{5}{13}[/tex]
[tex]\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\cos \alpha = \frac{12}{13}[/tex]
[tex]\tan \alpha = \frac{5}{12}[/tex]
[tex]\cot \alpha = \frac{12}{5}[/tex]
[tex]\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}[/tex]
[tex]\sec \alpha = \frac{13}{12}[/tex]
[tex]\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}[/tex]
[tex]\csc \alpha = \frac{13}{5}[/tex]
Al, Bert, and Rob determined that the sum of their ages is 62. Bert is twice as old as Rob, who is 10 years older than Al. How old is each?
Answer: AI is 8, Rob is 18, and Bert is 36
Step-by-step explanation:
Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!
(4x−3)(3x+6) how can i find the terms
Step-by-step explanation:
(4x-3)(3x+6)
4x(3x+6)-3(3x+6)
12x+24-9x-18
12x-9x+24-18
3x+6
x=6/3
x=2
determine if the following statement is true or false. if it is false, rewrite the statement so it is true. if a function has an inverse, and the function contains the point (r,q), then the inverse also contains the point (r,q).
helppppppppppppppppppppp due in 2hrs
plz wacth for more questions
Answer: 9 = 6t
how many t's are there in the model? there are 6 ts. 6t makes 9, so 9 is equal to 6t.
ps. the equation could also be 6t = 9 but its basically the same thing (:
PLEASE ANSWER QUICKLY!
Answer:
x = -9 Its B
Step-by-step explanation:
Because it can go both ways either + or -
Answer:
d
Step-by-step explanation:
b/c |-9|+10=19 |9|+10=19 |0|+10=10
Which of the following expression(s) are fourth-degree trinomials? Select all that apply.
A. 3x²y + 5x3y + 6yA
B. 6y + 5x3 + 1
C. 5xy - 5x?y2 + 7
D. 3y2 + 3x3y2
Answer:
Options A and B are polynomial of the fourth degree
Step-by-step explanation:
In this problem, option
A. 3x2y + 5x3y + 6y4
Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree
Also the option
B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial
What is the degree of a polynomial?
In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer
Once again, I need help
Answer:
40x-24y
Step-by-step explanation:
how u need help, just do
8 times 5x
then 8 times -3y
Answer:
the answer to 3 is the first one, 40x-24y
 thanks for the help but I need this answer please!!!
Answer:60 degrees
Step-by-step explanation:
Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees
PLEASEE HELP!!! LOTS OF POINTS ARE ON THE LINE
Which point is located in Quadrant II?
A coordinate plane.
(–4, 5)
(–4, –5)
(4, –5)
(4, 5)
Answer:
(-4,5) is located on the 2nd quadrant
Answer:
(-4, 5)
Step-by-step explanation:
Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.
Wang Xiu Ying has 109109109 dollars in her savings account. She has -21−21minus, 21 dollars in her checking account. Write an inequality that correctly compares the account values.
Answer:
[tex]-21 < 109[/tex]
Step-by-step explanation:
Given
[tex]Savings = \$109[/tex]
[tex]Checking = -\$21[/tex]
Required
Represent as an inequality
On a number line -21 comes before 109 (from left to right)
This means that -21 is smaller/lesser than 109.
So, the inequality that compares the two account values is:
[tex]-21 < 109[/tex]
Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet
HelP I have to turn this in tomorrow!!!
Answer:
$7.22 per foot squared
Step-by-step explanation:
hope this helps
Answer:
$7.22/ft² (Verified Answer) ✅Step-by-step explanation:
We need the unit rate here. The best way to do this is to write a proportion.
Let x = the $ for 1 ft.
130/18 = x/1
130 = 18x
Divide by 18
x = $7.22
Now, we check to make sure we are correct.
130/18 = 7.22/1
130 = 130 ✅
Please helpoppplllll mei need to complete this I will give brainly
Answer:
(5,-6) I think
Step-by-step explanation:
A clown has 9 red balloons and 4 blue balloons?
You pick one balloon without looking.
what is the chance it is red?
(A) 4/5
(B) 9/4
(C) 9/13
Answer:
(C) 9/13
Plzzzzz give me Brainliest!!!!!
Answer:
C. 9/13
Step-by-step explanation:
It’s kinda obvious because you can’t simplify that probability anymore unless you want decimals, also my bad for people cling the wrong answer previously
Steph and heather run a 5k run race . Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course. How much farther does heather run than steph
Answer:
2.07 miles
Step-by-step explanation:
If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3
Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.
Part 3 of i need these
Answer:
x=11
a=116°
b=29°
c=35°
hope is helpful
y=3x, x+y=52
Solve by subtracting
Answer:
x=13,y=39
Step-by-step explanation:
y=3x,x+y=52
x+3x=52
4x=52
x=52/4
x=13
y=3(13)
y=39
25 coins for someone who can answer these for me fast i need the help because i have work for other classes.
Answer:
1. 5%
2. 37.5% decrease
help me please..... :))
Which table does NOT represent a linear function?
Answer:
table 4 does NOT represent a linear functionStep-by-step explanation:
HOPE IT HELPS ❤❤❤❤❤Answer:
it's the one with 15,18,20,21
Step-by-step explanation:
Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant
If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t seconds is given by the equation h(t)= -16t2+96t +48, where height is in feet. After how many seconds will the object reach a height of 192 feet?
Answer:
the number of seconds to reach the height is 3 seconds
Step-by-step explanation:
The computation of the seconds that reach the height is as follows;
Given that
h = -16t^2 + 96t + 48
here
H = 192 feet
So,
192 = -16t^2 + 96t + 48
-16t^2 + 96t - 144 = 0
Divide by -16
t^2 - 6t + 9 = 0
t^2 - 3t - 3t + 9
t(t - 3) - 3(t - 3)
t = 3 seconds
Hence, the number of seconds to reach the height is 3 seconds
PLEASE ANSWER QUICK I NEED HELP!!!
Use the graph to answer the question below.
What is the slope of the line given in the graph?
Answer:
_____________Y= -2X-10 __________
Answer:
y= -2/1x + 10
Find the area of a circle with a diameter 6
Katie invested a total of $4000, part at 2% simple interest and part at 3% simple interest. At the end of 1 year, the investments had earned $90 interest. How much was invested at each rate?
Answer:
$3000
$1000
Step-by-step explanation:
the formula for simple interest = principal x time x interest rate
let the amount invested in the 2% investment be a
let the amount invested in the 3% investment be (4000 - a)
(a x 0.02 x 1) + ([4000 - a] x 0.03 x 1) = $90
0.02a + 120 - 0.03a = 90
Collect like terms and solve for a
0.01a = 30
a = $3000
The amount invested in the 3% investment be (4000 - a) = $4000 - $3000 = $1000
Gina has 90 meters of yarn.She uses 4 1/2 meters of yarn for every box she makes.How many boxes can she make from the yarn? 1.What is asked? 2.What are the given facts? 3.What is the opertaion to be used? 4.What is the number sentence? 5.What is the complete answer? 4. 5.
Answer:
1) The problem asks for the number of boxes than can be made from the yarn.
2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.
3) We need to divide the total length of yarn by the length used to produce a box.
4) 20 boxes.
5) Gina can make 20 boxes from 90 meters of yarn.
Step-by-step explanation:
1) What is asked?
R/ The problem asks for the number of boxes than can be made from the yarn.
2) What are the given facts?
R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.
3) What is the operation to be used?
R/ We need to divide the total length of yarn by the length used to produce a box.
[tex]x = \frac{90\,m}{\frac{9}{2}\,m }[/tex]
[tex]x = 20[/tex]
4) What is the number sentence?
R/ 20 boxes.
5) What is the complete answer?
R/ Gina can make 20 boxes from 90 meters of yarn.
92
7683
What the answer
Answer:
9
Step-by-step explanation:
y = 1^2-2x+4
find y pls
Answer:
y = − 2 x + 5
Step-by-step explanation:
Try this
Answer:
y = −2x+5
Step-by-step explanation:
lmk if you need to see the work shown
Please help if you can. :) ASAP
Answer:
380 ft squared
Step-by-step explanation:
20 times 25 = 500 ft squared
but since there is air
12 times 10 = 120 ft squared
500 - 120= 380 ft squared
A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden. (Hint: A=LW where, L is the Lenght and W is the Width). Simplify
Answer:
The answer is 6x² - 21x.
Step-by-step explanation:
You have to substitute the expressions inro the formula :
[tex]A = length \times width[/tex]
[tex]let \: l = 2x - 7,w = 3x[/tex]
[tex]A = (2x - 7) \times 3x[/tex]
[tex]A = 3x(2x - 7)[/tex]
[tex]A = 6 {x}^{2} - 21x[/tex]
The area of the rectangular garden is 6x² - 21x.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know, The area of a rectangle is (length×width).
Given, The rectangular garden has a length of (2x - 7) and a width of 3x.
Therefore, The area of the garden is,
= (2x - 7)×3x.
= 6x² - 21x.
= x(6x - 21).
learn more about rectangles here :
https://brainly.com/question/28993977
#SPJ2
Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP