Answer:
11
Step-by-step explanation:
Answer:
The first one is 2.5+3a-20-9.5,
and 3a-27 for the second one.
[tex] \binom{ \sin( \alpha) + \sin( 2alpha ) }{1 + \cos( \alpha ) + \cos(2 \alpha ) } = \tan( \alpha ) [/tex]
I see you use the TeX command "\binom" for binomial coefficient, but I think you meant to use "\frac" to write a fraction, namely,
[tex]\dfrac{\sin(\alpha)+\sin(2\alpha)}{1+\cos(\alpha)+\cos(2\alpha)}=\tan(\alpha)[/tex]
and I assume you're supposed to establish an identity.
Recall the double angle identities for cos and sin :
cos(2α) = cos²(α) - sin²(α) = 2 cos²(α) - 1
sin(2α) = 2 sin(α) cos(α)
Now expand the left side as
(sin(α) + sin(2α)) / (1 + cos(α) + cos(2α)) = (sin(α) + 2 sin(α) cos(α)) / (1 + cos(α) + 2 cos²(α) - 1)
Factor sin(α) from the numerator, and after canceling the 1s in the denominator and factor cos(α) :
… = [sin(α) (1 + 2 cos(α))] / [cos(α) (1 + 2 cos(α))]
Cancel the factors of 1 + 2 cos(α) :
… = sin(α) / cos(α)
which is equivalent to
… = tan(α)
by definition of tan.
Prism or pyramid pleaseeeeeeeee helpp
Answer:
Prism
Step-by-step explanation:
Kai can wrap 42 gifts in 3 hours. Answer the following questions, assuming that Kai can continue wrapping gifts at that same rate. How many gifts can Kai wrap in 24 hours? _______________ How many hours would it take him to wrap 126 gifts? _______________ How many gifts does Kai wrap per hour? _______________
Answer:
1. 336
2. 9
3. 14
Step-by-step explanation:
He wraps 42 gifts/3hours
24 hours is 8 "3 hours"
42 hours per 3 gifts * 8 "3 hours" = 336 gifts
126 gifts is 3 "42 gifts"
3 hours per 42 gifts * 3 "42 gifts" = 9 hours
He wraps 42 gifts/3hours
divide these values by 3 and you get 14 gifts/one hour
14 gifts every one hour
PLEASE HELP I WILL MARK YOU BRAINIEST!!
Which pairs of numbers are opposites? Check all that
apply.
0-6 and -6
0-2 and 2
4 and 4
O 8 and -8
10 and 0
Ur welcome
Answer:
–2 and 2 8 and –8 Which pairs of numbers are opposites? Check all that apply.
–6 and –6
–2 and 2
4 and 4
8 and –8
10 and 0
Step-by-step explanation:
3.5.1 Why do banks charge transaction fees?
Draw four more rectangles with areas equal to 24cm².
PLS HELP AND ANSWER QUICK PLZ
Answer:
∠CDE = 76
Explanation:
1) Find ∠CED
- 180 - 116 = 64
2) Find y
- 4y + 7y + 6 + 64 = 180
- 11y + 70 = 180
- 11y = 110
- y = 10
3) Substitute 10 for y
- 7y + 6
- 7(10) + 6
- 70 + 6
= 76
a college employs 15 stewards. what is the average monthly wage of the stewards if the college pays 226.20 naira in wages each months
Please help worth 10 points
Answer:
JK, NK
Step-by-step explanation:
both start at a point and extend through an arrow
determine the intercepts of the line
x intercepts (__ , __)
y intercepts (__ , __)
ILL GIVE YOU BRAINLIEST PLEASE ANSWER
Answer:
376.9 ft²
Step-by-step explanation:
There you go the right answer
Trapezoid ABCD has an area of 525 cm squared. If height AB = 21 cm and BC = 37 cm, what is the measure of AD?
Answer:
AD = 13
Step-by-step explanation:
Area of trapezoid ABCD
[tex] = \frac{1}{2} (AB + AD) \times AB \\ \\ 525= \frac{1}{2} (37+ AD) \times21\\ \\ 525 \times 2= (37+ AD) \times21 \\ \\ 1050 = 21 \times 37 + 21AD \\ \\ 1050 = 777+ 21AD \\ \\ 21AD = 1050 - 777 \\ \\ 21AD = 273 \\ \\ AD = \frac{273}{21} \\ \\ AD = 13[/tex]
How to find the volume of the cube?
Answer:
its 125
Step-by-step explanation:
5x5x5
Answer:
Volume = [tex]length * width * height.[/tex]
Step-by-step explanation:
[tex]V=a^{3}[/tex] that is the formula
So the volume of this cube is 125 cm
A wooden wagon wheel has 12 equally spaced spokes radiating from the central hub.
Answer: 12 INCHES
Step-by-step explanation:
12 points and brainliest pls and thank you ! (no unknown links or ill report u and ur whole acc)
Answer:
13
cuz one of those square part = to 90 degrease
so 77 degrease is already shown so minus 90-77
and u get 14
Answer:
x = 13°
Step-by-step explanation:
Angles 77° and BGE are vertical and thus equal angles. Angle x and BGE are complementary angles; thus, x + 77° = 90°. Solving this for x, we get:
x = 13°
can someone help having trouble solving this question
Answer:
if you pit the shape in a straight line it would be 180 degrees now take 180 take 130 and 100 and subtract those add that to the other 30 then take 180 divided by 60
Answer:
x = 50°
Step-by-step explanation:
sum of exterior angles is always equal to 360°
so, we can add all the given numbers and set them equal to 360° to find x:
130° + 30° + 100° + x° + x° = 360°
260° + 2x = 360°
2x = 100°
x = 50°
Need Help Geometry Question I will give brainliest
Answer:
if u just scan that with photo math it will give u answer and explanation :) hope that helped i am sorry i don't know the anwswer
Step-by-step explanation:
Solve 7k ÷ 3 = 21.
The solution is k=?
Answer:
k=9
..............................
2 ( x - 10) + 1 = 60
Answer:
x = 39.5
Step-by-step explanation:
2(x-10) = 59
x - 10 = 29.5
x = 39.5
Answer:
x=39.5 or 79/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
1. Observa el siguiente conjunto de enteros (-1,0, 1)
A. ¿Cuál de las propiedades de los números reales son verdaderas
para el conjunto?
Answer:
no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas
Step-by-step explanation:
Please help me it’s a Friday and my cousin birthday tomorrow and if I don’t finish I can’t go. (NO LINKS) need explanation. (EXPLAIN) and no lying.
Answer:
D. 0-69
Step-by-step explanation:
I'm not quite 100% sure but I believe it is D. This is because the spread means the range, and the range is the lowest value to between the highest value so it makes sense that the spread is 0-69
apologize of its wrong
Need help 15 points pls help me
5 1/2 feet is the base of window.
Answer:
area of parllelogram =base×height
25 2/3=base×4 2/3
77/3=base×14/3
77/3×3/14=base
base=77/14=11/2=5 1/2feet
Find slope of (2,3) and (-5,6).
Answer:
Slope is 3/-7
Step-by-step explanation:
[tex]slope = \frac{6 - 3}{ - 5 - 2} = \frac{3}{ - 7} [/tex]
What is the solution to the system of equations
Y=x+6
Y= -0.5x+3
Answer:
[tex]y = 4 \\ x = - 2[/tex]
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico hae reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from San Juan, Puerto Rico, find the probability of each of the following events.a. All five qualify for the favorable rateb. At least four qualify for the favorable rates
Answer:
a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates
Step-by-step explanation:
For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
This means that [tex]p = 0.7[/tex]
Five residential subscribers are randomly selected from San Juan, Puerto Rico
This means that [tex]n = 5[/tex]
a. All five qualify for the favorable rate
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. At least four qualify for the favorable rates
This is
[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283[/tex]
0.5283 = 52.83% probability that at least four qualify for the favorable rates
Thomas lives more than 0.55 km and less than 0.75 km from his school.
Thomas lives from his school?
A. 0.06 km
B 0.50 km
c. 0.60 km
D. 1.30 km
What is the difference between 75 and 55
Answer:
C 0.60km
I hope this answer helps if you have any questions just ask
what is this answer h – 6.5 = 15
Answer:
h=43/2 = 21 1/2 = 21.5
Step-by-step explanation:
h−6.5=15
Add 6.5 to both sides.
h=15+6.5
Add 15 and 6.5 to get 21.5.
h=21.5
what is the surface area of this square pyramid with a base length of 4 centimeters and slant height of 9 centimeters? HELP PLEASE!!!!
Answer:
The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base
The slant height is 8 cm
The base perimeter is 4 * 5 cm = 20 cm
The area of the base is 5 cm * 5 cm = 25 cm**2
Plugging into the formula the area =
1/2 * 8 cm * 20 cm + 25 cm**2 =
4 cm * 20 cm + 25 cm**2 =
80 cm**2 + 25 cm**2 = 105 cm**2
The Surface Area of Pyramid is 105 cm².
What is Surface Area of Pyramid?If “P” is the base perimeter, “l” is the slant height, and “B” is the base area, then the total surface area of the regular pyramid formula is given by (½)Pl + B Square units.
Given:
slant height, l= 8 cm
So, the base Perimeter = 4 x 5
= 20 cm
Now, area of the base = 5 cm x 5 cm
= 25 cm²
Then, surface area of a square pyramid
= 1/2 x slant height x base perimeter + area of base
= 1/2 x 8 x 20 + 25
= 80 + 25
= 105 cm²
Hence, the Surface Area is 105 cm².
Learn more about Surface area of Pyramid here:
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