Answer:
Using trigonometric identities: A trigonometric identity is a relationship between trigonometric functions that we can use to find an exact value of a trigonmetric function.Using the unit circle: The unit circle is a circle with its center at the origin and a radius of 1 unit. If we place an angle, θ, with its initial side along the positive x-axis, then the point where the angle's terminal side intersects the unit circle is (cos(θ), sin(θ)).Using reference angles: Reference angles are the smallest angle that the terminal side of an angle makes with the x-axis. As it turns out, trigonometric functions of an angle and its reference angle have the same value, except that they may have different signs.
For example, suppose we want to find the exact value of tan(405°). First, we take a look at the angle 405° on a graph with the unit circle:
in this that the reference angle of 405° is 45°. We can use the fact that tangent is positive in the first quadrant and the rule for reference angles to deduce that tan(405°) = tan(45°). Then we can use the well-known fact that tan(45°) = 1 to get that tan(405°) = 1.
Step-by-step explanation:
Verify Euler's formula for
(a) Tetrahedron
(b) Hexagonal prism
Answer:
Euler's formula for polyhedron is:
V - E + F = 2where V- vertex, E- edge, F- faceAs per the above formula the relationship between the vertexes, edges and faces is same for any polyhedron.
Lets confirm, have a look at the picture
(a) Tetrahedron, count each element:
V = 5, E = 8, F = 5Verify
5 - 8 + 5 = 10 - 8 = 2 - correct(b) Hexagonal prism, count each element:
V = 12, E = 18, F = 8Verify
12 - 18 + 8 = 20 - 18 = 2 - correct1) Evaluate 3+ (a + 4)(8 – b) when a
5 and b = 6
Answer:
21
Step-by-step explanation:
3+(5+4)(8-6)
3+(9)(2)
3+18=21
Answer:
The answer is 21
Step-by-step explanation:
3+(a+4)(8-b)
3+(5+4)(8-6)
3+9x2
3+18
21
Hope this helps
Add. (3x + 4) + (2x + 4)
Answer:
5x+8
Step-by-step explanation:
Simplify 3c^2 + 5c^2 - c^2
Answer:
7c^2
Step-by-step explanation:
I hope this helps have a great day
Richard Hoskins was the leader of a 4-H club with 27 children. When he divided the club into groups of 5 to play a game, how many groups did he have? How many extra children were there?
Answer:
5 groups
2 extra children
Step-by-step explanation:
The computation of a number of groups and number of extra children is shown below:
Given that
There is 27 children
And, this group would be divided into group 5
So,
As we know that 25 is easily divided by 5
So there are 5 groups
And, the extra children is
= 27 - 25
= 2 chidren
Couldn’t come up with an answers help ASAP
Factor.
x^2−4x+4
plz help
Answer:
(x-2) 2
Step-by-step explanation:
Answer:
We see that the equation: x^2 - 4x + 4 is a perfect square trinomial as it is in the form of a^2 + 2ab + b^2, meaning that it is the square of a binomial. In this case, we see that we can multiply (x-2) with itself to obtain x^2 - 4x +4.
So the factored form is : (x-2)^2, or (x-2)(x-2)
We can check this by multiplying this out, and we obtain the same trinomial.
x^2-2x-2x+4
x^2-4x+4
Let me know if this helps!
Can you plz solve 6-8 on this pic you have to find the area for it plz
Answer:
Figure 3: 28.5 units²
Figure 4: 33 units²
Figure 5: 25 units²
Figure 6: 30 units²
Figure 7: 25 units²
Figure 8: 32 units²
Reasons:
Figure 3 consists of 2 shapes, A rectangle and a square
████████ ◣
rectangle: ████████ triangle: █◣
████████ ██◣
rectangle:
to calculate a rectangle's area: multiply the lengths of the width and height:
████████= width 8 █
█ =height 3
█
[tex]area=w(h)[/tex]
now substitute the values of W and H:
[tex]8(3)=24[/tex]
rectangle area = 24
Triangle:
to find the area of a triangle, multiply the width and height and divide by two:
◣ + ◣ = █ 0.5 + 0.5 = 1
█
███=width 3 █ =height 3
█
[tex]area=\frac{w(h)}{2}[/tex]
now substitute W and H
[tex]area=\frac{3(3)}{2}[/tex]
[tex]area\frac{9}{2}[/tex]
Triangle area: 4.5
Now add the Rectangle Area To the triangle Area:
4.5 + 24 = 28.5
Final answer:
AREA =2 8.5
hope this helps!
Explain why two angles in a triangle cannot measure 80° and 100°.
because it wont make scenes when its already 180
List the steps in order you used to evaluate 6(x-5) when substituting x=8. Can you think of a different way to solve 6(x-5)=18 based on reversing these steps? * 15 Points)
compost a song wherein the gemdas rules are mentioned.
answer please
Answer:
11
Step-by-step explanation:
i jus did 5x5
Answer:
11
Step-by-step explanation:
In CT the sales TAX on items purchased is 6.35% what would the tax be if you went to CVS and purchased the following items: Toothbrush $4.95, Toothpaste $3.05 and Floss $2.25?
Answer:$2.65
Step-by-step explanation: enjoy
Please help me with this
Answer:
in the intersection region of all the solution in the system.
Penny makes 5 liters of applesauce. She saves 0.92 liter for dinner and puts the rest in jars. If each jar holds 0.68 liter, how many jars can she fill? Penny can fill jars.
01921
Step-by-step explanation:
Please help me I’ll give you brainless it’s due in 20 minutes
After Mike made deposits of $32.88 and $422.73 and wrote checks for $350.00, $126.13, and $41.09, he had $249.81 in his checking account. How much was in the account before this activity?
Answer:
$311.42
Step-by-step explanation:
assuming he would have $0.00 dollars left over after the checks. add the checks together then add the deposits together then subtract.
767.03 - 455.61 = 311.42
What is the equation of this trend line? Enter your answers by filling in the boxes
Answer:
-1/2M + 110
Step-by-step explanation:
The slope of the line if the scale is right should be -1/2M as it goes down half the speed. The y intercept is 110.
BC =using the Distance Formula
A. 5
B. 7
C. 11
Don’t choose randomly or write “just doing this for points” cause its annoying and I’m having an exam.
Answer: Option A: 5
Step-by-step explanation:
If yo have the pairs (a, b) and (c, d)
The distance between these two points is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between points B and C.
We can see that the coordinates of each one are:
point B: (-5, 5)
Point C: (-1, 2)
Then the distance between these points is:
AB = √( (-5 -(-1))^2 + (5 -2)^2) = 5
AB = √( 4^2 + 3^2)
Then the correct option is A
The cone shown has a radius of 6 inches and a slant height of 10 inches. What is the total surface area of the cone?
Answer:
[tex]A=301.71\ \text{inches}^2[/tex]
Step-by-step explanation:
Given that,
The radius of a cone, r = 6 inches
The slant height of the cone, l = 10 inches
We need to find the total surface area of the cone. It is given by :
[tex]A=\pi rl+\pi r^2[/tex]
Substituting all the values,
[tex]A=\pi r(l+ r)\\\\A=\dfrac{22}{7}\times 6\times (10+ 6)\\\\A=301.71\ \text{inches}^2[/tex]
So, the total surface area of the cone is [tex]301.71\ \text{inches}^2[/tex].
What is the value of x for 2x+14=y
Answer:
x = (y - 14) / 2
Step-by-step explanation:
2x + 14 = y
2x = y - 14
x = (y-14)/2
i will literally give you brianlist
all values of x
5 ( x + 10 )^2 − 30 = − 5
Plzzzz
select the values that make the inequality -7w>-63 true then write an equivalent inequality, in terms of w
[tex] - 7 > - 63[/tex]
put these values in place of w in the inequality u will get Verified.
Step-by-step explanation:
5>4>3>2>1>0>-1>-2>-3.........>-63
here the numbers which come before - 63
are greater than it.
Hope u understood.
HELP PLEASE! WILL GIVE BRAINLIEST!
jack simplified the expression below!
Determine whether not jack is correct!
if he isn't explain the mistakes and provide the correct work!
{1}{3} (2x+9)+{2}{3} (4x-3) {2}{3} x+27{8}{3}x+2{10}{3}x+29
PLS HELP I AM BEHIND ON MY MATH AND FAILING!! I REALLY NEED HELP PLEASE I WILL GIVE BRAINLIEST!
Answer:
2116x2 + 3355 + 146
Step-by-step explanation:
Hope this helped <3
pizzas. kids
3 7
_ _
_ _
_ _
_ _
Answer:
pizza kids
3 7
6 14
12 28
24 56
48 112
-----------------------------------------
:)
Aisha has a smart phone data plan that costs $25 per month that includes 4 GB of
data, but will charge an extra $15 per GB over the included amount. How much
would Aisha have to pay in a month where she used 3 GB over the limit? How much
would Aisha have to pay in a month where she used went over by x GB?
Answer:
b
Step-by-step explanation:
3. Find the rule for the function
table. 4 = ?
Answer:
4 = 12
Here is your answer.
Answer:
1x4=4
2x4=8
3x4=12
4x4=16
5x4=20
grrrr i have no idea what this unit is talking about please help
Answer:
SSS Triangle Congruence.
1.5,3,4.5,6,...arithmetic sequence or geometric sequence
Answer:
Step-by-step explanation:
1.5 , 3 , 4.5 , 6 ............
This is an arithmetic sequence. Each term is obtained by adding 1.5 to the previous term.
First term = 1.5
Common difference = second term - first term
= 3 - 1.5 = 1.5
Check:
Second term = 1.5 + 15 = 3
Third term = 3 + 1.5 = 4.5
Fourth term = 4.5 + 1.5 = 6
Need help with B I’ll name brainless help due today
Answer:
f(12) = 9
x = 0 when f(x) = 5
Step-by-step explanation:
