The value of each Trigonometric ratio in a right angle triangle given are; sin X = 4/5 and cos C = 40/41
How to express Trigonometric Ratios?From the attached image, we can see the triangles to find the trigonometric ratios.
Now, the formula for sin and cos in a right angle triangle is;
sin = opposite/hypotenuse
cos = adjacent/hypotenuse.
Thus;
1) sin X = 32/40 = 4/5
2) cos C = 40/41
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Write as an addition problem: 22 - (-8)
Step-by-step explanation:
22+8
I think this ans may help you
Help me please Thanks
Find the degree of the following polynomial:
7xy223 + 8y5 – 3x4 + 4
Answer:
224
Step-by-step explanation:
polynomial degree:224
leading term:7x^223
leading coefficient:7
Which polynomial represents the difference below?
2x +7X+6
(3x? – X
A. - x + 6x + 6
B. 2x2 + 4x + 6
c. 2x2 + 5x + 6
D. - x2 + 3x + 6
Answer:
-x²-8x+6
Step-by-step explanation:
Given the polynomial expression
2x²+7x+ 6 and 3x² – X
Taking their difference
2x²+7x+ 6 - (3x² – X)
2x²-3x²+7x+x+6
-x²-8x+6
Hence the required difference is -x²-8x+6
Answer:
-x²+8x+6
Step-by-step explanation:
Ape-x
Find the product of (√3-5) and (√3+2)
Step-by-step explanation:
check it.. i have solved it for you.
Which of the following could represent consecutive even integers?
x + 1, x + 2
x + 1, x + 3
2x, 2x + 1
Answer:
only x+1 , x+3 COULD represent consecutive even integers
Step-by-step explanation:
only x+1 , x+3 COULD represent consecutive even integers
Does 18x-(9x+2)=4x have a solution?
Answer:
Yes
Step-by-step explanation:
9x - 4x = 2
5x = 2
x = 2/5
x = 0.4
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells.
Answer:
34+12x=100 12x=66 x=66/12=11/2 answer:11/2
Step-by-step explanation:
Answer:
[tex]12n+34>100[/tex]
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: [tex]12n+34[/tex]
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100.
A teacher purchased 20 calculators and 10 measuring tapes for her class and paid $495. Later, she realized that she didn't order enough supplies. She placed another order of 8 of the same calculators and 1 more of the same measure tape and paid $178.50.The system represents the situation
`20c+10m=495`
`8c+1m=178.50`
Find the cost of one calculator and the cost of one measure tape using one of our methods of solving systems.
Answer:
Equations are
20c + 10m = 495..............(1)
8c + 1m = 178.5.................(2)
Now , equation (2) * 10 = 80c + 10m = 1785...........(3)
So, Eq. (3) - Eq(1) =
80c + 10m - 20c - 10m = 1785 - 495
60c = 1290
c= 21.5
********************************************************
Now place the value of c in Eq (2)
So , m =6.5
Mark my answer as brainlist answer
Step-by-step explanation:
To solve this equation we must first -
2x - 4= 10
O subtract 4 from both sides
O add 4 to both sides
divide by 4
O multiply by 4
Answer:
divide by 4
Step-by-step explanation:
2x - 4 = 10
10 ÷ 4 = 2.5
2.5 ÷ 2 = 1.25
x = 1.25
Answer:
ADD 4 to both sides
Step-by-step explanation:
2x-4=10
2x+4=10+4
2x=10+4
2x=14
2x/14
x=7
Hope this helps:)
Solve 77/8 - 3
3 > 8.
Answer:
77/8-3= 53/8
3>8 is false
Step-by-step explanation:
Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture?
Answer:
4
Step-by-step explanation:
Given :
10 grams of 15% sugar syrup;
25 grams of 10% sugar syrup
Therefore,
(10grams * (15/100)) + (25 grams * (10/100))
(10 * 0.15) + (25 * 0.1)
1.5 + 2.5
= 4 grams
Which situations can be represented by an exponential function?
Select each correct answer.
Every year, the number of online video subscriptions increases by 3 times what is was the previous year.
In a structure made of bricks, each row has 10 more bricks than the previous row.
The value of a vehicle decreases by 11% each year.
A dentist's office accepts 15 new patients each month.
9514 1404 393
Answer:
(a) subscriptions
(c) vehicle value
Step-by-step explanation:
Exponential functions are used to describe situations where the amount of change is proportional to the amount.
If the amount of change is a constant, then the function is linear.
A. video subscribers change by an amount proportional to their number, so is an exponential function.
B. the change in number of bricks in a row is a constant, so the function is a linear function.
C. The amount of change is proportional to the value, so the function is an exponential function.
D. The change in patient count is a constant, so the function is a linear function.
I WILL MARK BRAINLYIST
Describe Programming Languages
Complete each sentence by choosing the correct answer from the drop-down menu.
The data type in a strongly typed language
before the variable can be used.
An example of a strongly typed language is
The data type in a weakly typed language
before the variable can be used.
An example of a weakly typed language is
.
Answer:
Complete each sentence by choosing the correct answer from the drop-down menu.
The data type in a strongly typed language
✔ has to be stated
before the variable can be used.
An example of a strongly typed language is
✔ JavaScript
.
The data type in a weakly typed language
✔ does not have to be stated
before the variable can be used.
An example of a weakly typed language is
✔ Python
.
Step-by-step explanation:
Theres no explanation just get the answers and say thanks lolololoo
Answer:
✔ has to be stated
✔ JavaScript
✔ does not have to be stated
✔ Python
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
5
A. (x + 1)(x - 7)
B. (x + 1)(x + 7)
C. (x - 1)(x - 7)
D. (x - 1)(x + 7)
Answer:
The answer is
(x-1) (x-9)
The factored form of the related polynomial function is [tex](x-1)(x+7).[/tex]
What is polynomial function ?Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.
We have,
In the graph given in question, we can see that [tex]x-[/tex]intercepts the axis twice.
And graphs behave differently at various [tex]x-[/tex]intercepts. Sometimes the graph will cross over the [tex]x-[/tex]axis at an intercept and other times the graph will touch the [tex]x-[/tex]axis and bounce off.
Now, in graph;
The [tex]x-[/tex]intercept at [tex]x=1[/tex], i.e. the solution of the [tex]x-1=0[/tex] and passes through the axis.
Now,
The [tex]x-[/tex]intercept at [tex]x=7[/tex] is the solution of [tex]x-7=0[/tex] and again passes through the axis.
So, from the above statements we can say that the factored form of the related polynomial is [tex](x-1)(x+7).[/tex]
Hence, we can say that the factored form of the related polynomial function is [tex](x-1)(x+7).[/tex]
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PLEASE HELP!!! (i will give brainliest)
Step-by-step explanation:
[tex] {9}^{2} = {6}^{2} + {x}^{2} \\ 81 = 36 + {x}^{2} \\ {x}^{2} = 45 \\ x = 6.71 \: ft[/tex]
6.71 is answer ok plz MARK me as BRAINLIST
WILL MARK BRAINLIEST PLS DO MY MATH DUE: 1 HOUR
1. a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25
I also post a picture on how I got each answer.
Hope this helped you out
Answer:
a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25
Step-by-step explanation:
The results of the first 100 students who voted are represented in the table. There are still 50 more students left to vote. Based on the early results, how many MORE votes do you expect Dan to get out of the 50 late voters?
Answer:
1-50
Step-by-step explanation:
MATH PLS HELP
(7h+9)+(4h+4)
Answer:
11h+13
Step-by-step explanation:
7h+4h=11h
9+4=13
Answer:
11h+13
Step-by-step explanation:
Combine like terms.
A ladder is leaning against a vertical wall. The distance from the top of
the ladder to the base of the wall is 23 feet. The distance from the base
of the wall to the bottom of the ladder is 5 feet. What is the length of the
ladder (nearest tenth)?
Answer:
23.5(to the nearest tenth)
Step-by-step explanation:
pythagoras theorem states
c^2= a^2+ b^2
a= 23
b=5
c^2= 529+25
c^2= 554
c= square root of 554
c = 23.5 (approximately)
this took me a lot of time
giving me brainliest will make me happy
Which set of numbers could represent the lengths of the sides of a right triangle?
12, 18, 22
8. 15. 17
10. 15.20
7.9.11
Answer:
8, 15, 17
Step-by-step explanation:
The 2nd option. You know this by using this math formula: a^2 + b^2 = c^2. That is the formula to find a right triangle. So if you square 8 and 15 you get 64 and 225, and if you add them together you get 289, which is 17^2. Hope this helps! :)
Find the coordinates of the turning point when y=5x^3 - 6x^2 - 4X + 8
Given:
The equation is
[tex]y=5x^3-6x^2-4x+8[/tex]
To find:
The coordinates of the turning point.
Solution:
We have,
[tex]y=5x^3-6x^2-4x+8[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=5(3x^2)-6(2x)-4(1)+(0)[/tex]
[tex]\dfrac{dy}{dx}=15x^2-12x-4[/tex]
For the turning points [tex]\dfrac{dy}{dx}=0[/tex].
[tex]15x^2-12x-4=0[/tex]
Using quadratic formula:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(15)(-4)}}{2(15)}[/tex]
[tex]x=\dfrac{12\pm \sqrt{144+240}}{30}[/tex]
[tex]x=\dfrac{12\pm \sqrt{384}}{30}[/tex]
Now,
[tex]x=\dfrac{12+\sqrt{384}}{30}\text{ and }x=\dfrac{12-\sqrt{384}}{30}[/tex]
[tex]x\approx 1.053\text{ and }x\approx-0.253[/tex]
Putting x=1.053 in the given equation, we get
[tex]y=5(1.053)^3-6(1.053)^2-4(1.053)+8[/tex]
[tex]y\approx 2.973[/tex]
Putting x=−0.253 in the given equation, we get
[tex]y=5(-0.253)^3-6(-0.253)^2-4(-0.253)+8[/tex]
[tex]y\approx 8.547[/tex]
Therefore, the turning points are (1.053,2.973) and (-0.253, 8.547).
i need help urgently lease :D
Answer:
y=4
-2y=8
y=8/2
xndnndndnd
Which of the following could be the side measures of a right triangle? *
1)6 ft, 5 ft, 4 ft
2)8 ft, 7 ft, 6 ft
3)10 ft, 8 ft, 6 ft
4)12 ft, 10 ft, 8 ft
Answer:
option 1
Step-by-step explanation:
please Mark me as brainlist
The set of side lengths that could represent a right triangle is
12 ft, 10 ft, and 8 ft.
Option D is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).
Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:
6 ft, 5 ft, 4 ft
6² + 5² = 36 + 25 = 61
4² = 16
Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.
8 ft, 7 ft, 6 ft
8^2 + 7^2 = 64 + 49 = 113
6^2 = 36
Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.
10 ft, 8 ft, 6 ft
10^2 + 8^2 = 100 + 64 = 164
6^2 = 36
Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.
12 ft, 10 ft, 8 ft
12^2 + 10^2 = 144 + 100 = 244
8^2 = 64
Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.
Therefore,
The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.
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Triangle WXY is similar to triangle RST.
AA.
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
Reflect across line PQ, then dilate with a scale factor greater than 1.
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
Rotate 90 degrees counterclockwise about point P, then dilate with a scale factor greater than 1.
Rotate 180 degrees clockwise about point P, then dilate with a scale factor greater than 0 and less than 1.
Answer:
Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one
Step-by-step explanation:
Answer:
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
B
Step-by-step explanation:
3x = 42 *
pls help quick
Answer:
The answer will be x=14
Step-by-step explanation:
hope I help
10÷2-3+1=3 where do the parentheses go?
Answer:
The parantheses go around the (10 / 2)
Step-by-step explanation:
The expression would be:
(10 / 2) - 3 + 1 = 3
And when you solve it,
It would simplify to:
5 - 3 + 1
go from left to right and you get 3
The slash means division, I don't know how to type a division sign on brainly lol
PLS HELP MEEEEEE IM SO STUCK
Answer:
497 inches²
Step-by-step explanation:
Hi!
I have never done a problem like this in my life but I see exactly how it is meant to be solved. Lets try it out.
Let us first remind ourselves of the formulas we need for this.
Formula for a circle and the formula for a triangle.
Circle :
A = [tex]\pi[/tex] x r²
(or Area = pi x radius²) (Note that [tex]\pi[/tex] = 3.14)
Triangle :
A = b x h x 1/2
(or Area = base x height x 1/2)
Now lets see what the question wants from us and what we are given :
Gives us :
Diameter XY = 30 inches
YZ = 20 inches
XZ = 21 inches
And it wants the total area of the shaded regions to the nearest square inch. (Inches²)
Alright so first lets solve this triangle :
We need to do Base x Height x 1/2 :
Input your numbers given :
Base = 21in
Height = 20in
And lets multiply this out :
Base x Height x 1/2
21 x 20 x 1/2
21 x 20 gives us 420
Now we have :
420 x 1/2
Note that this is literally saying it wants half of 420. So we can actually just make it easier and do :
420/20
This gives us 210.
Great! Now we have the area of the triangle which is 210, this will be important later but for now lets move onto the circle.
Alright so we need radius to solve this but it really doesn't give us much about the circle.
But...
If you take a look at ∠YX you can see that it says 30in. This is actually the diameter of the circle and we can use this to find the radius of the circle.
The radius of a circle is 1/2 of the diameter.
And the diameter of a circle is 2 × the radius.
So in this case to find the radius we can actually take the 30inch diameter and divide it by 2 to find our radius.
30/2
=
15
Radius = 15inches!
Now lets look back to our wonderful circle formula.
A = [tex]\pi[/tex] x r²
or if we write it out :
Area = pi x radius²
So now lets plug in the radius we found and then solve to find the area of this circle.
Area = pi x 15²
(Don't forget the tiny 2 next to the 15!)
Now we can multiply this :
pi x 15²
=
706.858347058
Round to the nearest square inch :
707 inches²
(pi = [tex]\pi[/tex])
So now what we have is the area of both shapes. It is smooth sailing from this point on. Let us recap :
Triangle Area = 210 inches²
Circle Area = 707 inches²
Now we have to find the area of the shaded area which is really simple subtraction.
The shaded area is the circle but the triangle is overlapping this shaded area so all we have to do is subtract the triangles area from the circles area so all that will be left is the shaded area of the circle.
So we do :
Circles area - Triangles area = Our answer
707 - 210 = 497
There we go!
Our answer is 497 inches²
This took a minute I am sorry about that but I hope this helps!
If you have any other questions please let me know.
pls answer the following questions i will give brainilest if u get them right
4 × 0.75=?
4 ÷ 0.65 = ?
2.8 × 1.42 = ?
2.75 ÷ 1.30 = ?
Answer:
1. 3
2. 6.15
3. 3.976
4. 2.11
Step-by-step explanation:
Hope this helped:)) Plz mark Brainliest :))
what is m
A.
B.
C.
D.
Answer: .B.
Step-by-step explanation