Answer:
[tex] AB = 5.52 [/tex]
Step-by-step explanation:
Reference angle = 65°
Opposite side = 5
Hypotenuse = AB = ?
To find AB, the trigonometric ratio we would use will be:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(65) = \frac{5}{AB} [/tex]
Cross multiply
[tex] sin(65)*AB = 5 [/tex]
Divide both sides by sin(65)
[tex] AB = \frac{5}{sin(65)} [/tex]
[tex] AB = 5.52 [/tex] (nearest hundredth)
The line below has slope 4 and y-intercep
3. Write the equation of the line in slope
intercept form
5
Answer:
y=4x+3
y=-2x+3
Step-by-step explanation:
Solve for: 22≥4m-2 or 5-3m≤-13
Answer:
22≥4m-2=6
5-3m<-13=6
Step-by-step explanation:
The inequalities 22 ≥ 4m - 2 or 5 - 3m ≤ - 13 is m ≤ 6 or m ≥ 6.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
22 ≥ 4m - 2.
4m ≤ 22 + 2.
4m ≤ 24.
m ≤ 24/4.
m ≤ 6.
5 - 3m ≤ - 13.
- 3m ≤ - 13 - 5.
- 3m ≤ - 18.
3m ≥ 18.
m ≥ 18/3.
m ≥ 6.
So, m ≤ 6 or m ≥ 6.
learn more about inequalities here :
https://brainly.com/question/30228778
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A goat is tied to the corner of a rectangular shed in a large field full of grass. The rope is 2 yards long and a plane view (from above) of the shed and field is shown below. Use this information for Parts A and B below.
Part A: Calculate the area of grass that the goat can eat.
Part B: What length of rope would enable the goat to eat 30 square yards of grass? Show all your reasoning.
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 ydDivide: 2 ÷ 1/2
2
16
8
4
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2/1 * 2/1 = 4
What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 true
Answer:
-7.5
Step-by-step explanation:
Answer:
What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 TRUE? Show your work.
Step-by-step explanation:
find the 8th term of the geometric sequence 4, -20, 100, ...
Answer:
312500
Step-by-step explanation:
I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong
How many cups are in 3 gallons? 1 gallon = 16 cups
Label your answer in cups.
Answer:
There are 48 cups in 3 gallons!
Hope this helped! :)
What is the equation of the line that passes through the point (-9,6) and is perpendicular to the line
y = 3x - 52
Is 900% of 6 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
its greater than 10 but lesser than 100 because simplifying them in fractional form indeed informs u that its greater than 10
In a country, 31 % of the people that voted for candidate AA are women. Moreover, 10% of the population are women and voted for A. What is the percentage of people that voted for candidate AA?
This question is incomplete, the complete question is;
In a country, 31 % of the people that voted for candidate AA are women. Moreover, 10% of the population are women and voted for AA. What is the percentage of people that voted for candidate AA?
Answer:
the percentage of people that voted for candidate AA is 32.3%
Step-by-step explanation:
Given that;
31 % of the people that voted for candidate A are women
P( women/Candidate AA) = 0.31
Moreover, 10% of the population are women and voted for AA
P( women & candidate AA) = 0.10
so
p( Candidate AA) = P( women & candidate AA) / P( women/Candidate AA)
p( Candidate AA) = 0.10 / 0.31
p( Candidate AA) = 0.323
p( Candidate AA) = 32.3%
Therefore the percentage of people that voted for candidate AA is 32.3%
Lyndsay read 200 pages of her book yesterday. Today she read 75% fewer
pages. How many pages did she read today?
Answer:
Lyndsay read 50 pages.
Step-by-step explanation:
Which transformation preserves angle measures, but not segment lengths?
Answer:
Dilation
Step-by-step explanation:
x - y = 4
2x + y = -4
x = y =
Answer: x = 4 + y
x= -2 - y/2
Step-by-step explanation:add y to both sides of the equation
If f(x) = 8x2 + 4x - 12. Find f(2)
f(2)=
Answer:
f(2) = 28
Step-by-step explanation:
[tex] \rm f(x) = 8 {x}^{2} + 4x - 12 [/tex]
[tex] \rm Evaluate \: 8 x^2 + 4 x - 12 \: where \: x = 2: \\ \\ \rm \implies f(2) = 8 \times {2}^{2} + 4 \times 2 - 12 \\ \\ \rm \implies f(2) = 8 \times 4 + 8 - 12 \\ \\ \rm \implies f(2) = 32 - 4 \\ \\ \rm \implies f(2) = 28[/tex]
Solve for x. x/100 = 195/200
Answer:
x = 97.5 is the answer
Step-by-step explanation:
How can a percent be used to describe a change in quantity?
Answer:
remember,a percent means "per 100".You can describe the change as a fraction comparing the amount of change to the original and then use a proportion to rewrite your problem as a percentage out of 100.
Misty wants to save money to purchase a new bicycle that costs $279. She
opens a savings account and deposits $7 per week. How many weeks will it
take for her to save enough money to buy the bicycle?
Answer: Hmm, I want to say it will be about 40 weeks before she can get the bike, hope this helps!
Step-by-step explanation:
Answer:
40 weeks
Step-by-step explanation:
The 5th degree polynomial has relative maximum at x=___ and x=___
The 5th degree has relative maximum at x=___ and x=____
E E E HEY PLEASE HELP. IM LITERALLY ABOUT TO END MYSELF.
Answer:
( 5 , - 2 )
Step-by-step explanation:
( 10 × [tex]\frac{1}{2}[/tex] , - 4 × [tex]\frac{1}{2}[/tex] ) = (5, - 2)
Which of the following represents the prime factortzation of 72?
023.32.4
th
023.32
02.32.42
22.33
Answer:
2³ x 3²
Step-by-step explanation:
The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:
72
2 x 36
2 x 2 x 18
2 x 2 x 2 x 9
2 x 2 x 2 x 3 x 3
So;
The prime factorization is 2³ x 3²
A baseball is thrown in a parabolic arch
what is the value of y when x = 43
PLS HELPP
Answer:
Hi there~
y=87
X side. Y side
1. 3
2. 5
3. 7
4. 9
5. 11
Step-by-step explanation:
We can see that ix x = 1 and y = 3, then that means 1+2
then its 2+3 then 3+4 and so on
So 43 + 44 = 87
So y should equal 87 :)
when dividing 592 by 9.25, how many zeros will be placed in the dividend?
A: one
B: two
C: three
D: four
Help its math ಥ_ಥ.......................
How do I solve for x 7x–1=125
Answer:
x=18
Step-by-step explanation:
You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!
8 Dvided by 3/5 HELP MEEEEEEEE
Answer:
40/3
Step-by-step explanation:
The Buffalo football team wanted to buy new footballs for their practice. They got a discount and had to pay $42 per 6 footballs. what did the team have to pay per football? Be sure to explain all of your work.
Answer:
it would be 7 dollars per football
Step-by-step explanation:
[tex]42 \div 6[/tex]
What is the domain of the function y=3 squared root of x -1 ?
O-o
-1
O 0
1
[tex]y=3\sqrt{x-1}[/tex]
The domain is x ≥ 1 as x cannot be less than 1 or else it'll become negative in square root which you cannot find a value.
A recipe uses 2 eggs to make 24
cookies. How many cookies could
you make with 9 eggs?
Answer:
49-50 cookies
Step-by-step explanation:
Hope this was helpful, Have a Wonderful Day!!
Which number completes the inequality -5.13 blank -4.8
-5.3 - 5.23 - 4.38 - 5.1
Answer:
The answer is 5.1.
(-5.13 5.1 -4.8)
Hope this helps! <3
Answer:
It is 5.1.
Step-by-step explanation:
I took the test. Have a great day :)