Answer:
dame like y muchísimas estrella
trigonometric identities
With 180° < θ < 270°, we know that both cos(θ) < 0 and sin(θ) < 0.
Then from the Pythagorean identity, it follows that
sin²(θ) + cos²(θ) = 1 ==> sin(θ) = -√(1 - cos²(θ))
and so
sin(θ) = -√(1 - (-8/13)²) = -√105/13
Recall the double angle identity for sine:
sin(2θ) = 2 sin(θ) cos(θ) = 2 (-√105/13) (-8/13) = 16√105/169
Solve the equation step by step
Let x be the amount of salt in the solution.
At day's end, the concentration of salt in the beaker is
x / (4 L) = 0.08 = 8%
Solve for x to get
x = 0.08 (4 L) = 0.32 L
So at the beginning, the concentration of salt in the beaker was
(0.32 L) / (5 L) = 0.064 = 6.4%
Mrs. Helton is making gift bags as prizes for her math classes. She has 30 little bags of Hershey Kisses and 15 Blow Pops. What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?
Answer:
3
Step-by-step explanation:
I LOVE CANDY hope it helps 45/3 is hte gretaets factor the answer is 3.. i think
Answer:
45 gift bags.
Step-by-step explanation:
take 30 and divide it by 15. your answer is 2. 2 hk bags and 1 blow pop is equal to 3. so you would multiply 3 by 15 to get your conclusion
Sarah has 27
27 feet of wire to make bead necklaces. If each necklace
requires 12 feet of wire, how many necklaces can she make?
1
Answer:
= 2 R 3
= 2 3/12
= 2 1/4
Step-by-step explanation:
0 2
1 2 2 7
− 0
2 7
− 2 4
3
There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
66%
bcz out of 3 stuff in 100% is 66%
I am a 4 digit number all my digits are different they add up to 20 the hundred's digit is double than the one's digit
Answer:
- 2864
Step-by-step explanation:
Given that,
The number is of 4 digits
All are different
The sum of the 4 digits = 20
Hundred's digit is twice than one's digit
A.T.Q.
Let the unit digit be 4. So, the hundred's digit would be 4 * 2 = 8
Now, we have
_8_4
We know that the sum of four digits is 20. Thus,
_ + 8 + _ + 4 = 20
∵ _ + _ = 20 - 12 = 8
The possible numbers must make a sum of 8. Thus, one possibility can be 2 and 6.
Therefore, the number can be
2864
( 2 + 8 + 6 + 4 = 20)
1. Find the ratio of of 25cm and 1m .
2. Find the product of (a + 4)(a − 4).
Answer:
1..
solution....
here given
25cm
1m=100cm
now,
25/100=1/4
1:4
2....
(a+4)(a-4)
a^2-4^2
a^2-16
Step-by-step explanation:
hope it will help you
suppose the function g(x) doubles the square of the input and then subtracts 13. what is g(3)?
Given:
The function [tex]g(x)[/tex] doubles the square of the input and then subtracts 13.
To find:
The value of [tex]g(3)[/tex].
Solution:
Let [tex]x[/tex] be the input value.
The square of the input is [tex]x^2[/tex].
Doubles the square of the input [tex]2x^2[/tex].
Doubles the square of the input and then subtracts 13, i.e., [tex]2x^2-13[/tex].
So, the function is:
[tex]g(x)=2x^2-13[/tex]
Putting [tex]x=3[/tex] in the above function, we get
[tex]g(3)=2(3)^2-13[/tex]
[tex]g(3)=2(9)-13[/tex]
[tex]g(3)=18-13[/tex]
[tex]g(3)=5[/tex]
Therefore, the value of [tex]g(3)[/tex] is 5.
Need help ! Help needed very much !
Answer:
x/2 > 5
Step-by-step explanation:
Quotient means division
x/2
is more than means greater
x/2 > 5
If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is
We know
[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
ATQ
[tex]\\ \sf\longmapsto \sqrt{(-1-2)^2+(x+2)^2}=5[/tex]
[tex]\\ \sf\longmapsto \sqrt{(-3)^2+x^2+4x+4}=5[/tex]
[tex]\\ \sf\longmapsto \sqrt{9+x^2+4x+4}=5[/tex]
[tex]\\ \sf\longmapsto \sqrt{x^2+4x+13}=5[/tex]
[tex]\\ \sf\longmapsto x^2+4x+13=5^2=25[/tex]
[tex]\\ \sf\longmapsto x^2+4x+13-25=0[/tex]
[tex]\\ \sf\longmapsto x^2+4x-12=0[/tex]
[tex]\\ \sf\longmapsto x^2+6x-2x-12=0[/tex]
[tex]\\ \sf\longmapsto x(x+6)-2(x+6)=0[/tex]
[tex]\\ \sf\longmapsto (x-2)(x+6)=0[/tex]
[tex]\\ \sf\longmapsto x=2\:or\:x=-6[/tex]
A rectangular hockey field is 50m long and 35m wide calculate the length of it's diagonal
Answer:
length=50m
width=35m
diagonal=?
using Pythagoras theorem
where c=diagonal,a=length(50m),b=width(35)
c² =a² + b²
c² =(50)² + (35)²
c² =2500+1225=3725
Taking square root on both sides
c=61m
Therefore the diagonal is 61m
Find the value of x.
r h==ptgggggggggggggggggggggggggggggggggggggggggggggggggggtnnnnnnn
Who is the first prime miniter of india
Answer:
Jawaharlal Nehru was the first
Answer:
Jawaharlal Nehru is the first prime minister of India
Can SOMEONE PLEASE HELP ME? I really need to get this work done by tonight. PLEASE
The curved part of this figure is a semicircle.
What is the best approximation for the area of this figure?
18+24.25π units²
18+12.125π units²
36+24.25π units²
36+12.125π units²
Answer:
carna estralia con frema es 36+12.125tt ernits es answeana
Step-by-step explanation:
Answer:
18+12.125π units²
Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn What is the probability of drawing a King and then another King?
Answer:
probability that 2 cards drawn from a deck of 52 cards are both kings.
is probability that first card is a king times probability that second card is a king
with replacement 4/52*4/52 =0.592%
without replacement 4/52*3/51=0.452%
Step-by-step explanation:
If the fourth term in a geometric sequence is –1 and the common ratio is –1, find the explicit formula of the sequence.
A)
an = (1) ⋅ (–1)n – 1 for n ≥ 1
B)
an = (– 1) ⋅ (1)n – 1 for n ≥ 1
C)
an = (–1) ⋅ (–1)n – 1 for n < 1
D)
an = (1) ⋅ (1)n – 1 for n ≥ 2
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_4=-1\\q=-1\ common\ ratio\\\\a_4=a_1*q^3\ -1=a_1*(-1)^3 \Longrightarrow\ a_1=1\\\\\\\boxed{a_n=1*(-1)^{n-1}}\\\\\\Since \ all \ formula\ are\ so\ bad\ written,\ I\ suppose\ that\ the\ answer \ is \ A\\[/tex]
Answer:
an = (1) ⋅ (–1)n – 1 for n ≥ 1
Step-by-step explanation:
took the test and got it right
hope this helps
1-2. Roel earns P 8,000 per month as basic salary. In addition, he earned P 5,725.50 as commission and P 852.50 as overtime pay in January. How much did he earn that month?
3-4. A biscuit factory originally packaged 0.65kg of crackers. To increase profitability, the company reduced the weight by 0.035 kg with a more affordable price. What is the new weight per pack of crackers?
Answer:
a. he earn 14578.00 in that month.
match the property to its correct name
A} additive inverse property
B} multiplicative inverse property
C} commutative property of multiplication
D} multiplicative identity
E} commutative property of complement
F} ascending property of multiplication
G} distributive property
H} associative property of multiplication
I} additive identification property
J} zero property
{1} x+(y-z)=(x+y)+z
2} (pq) * 1 = pq
3} (5x)y-5(xy)
4} a+5b = 5b + a
5} a+0=a
6} gh - hg
7} 8 + (-8)=0
8} x * 0 = 0
9} 5 * (1/5)=1
10} 2(a+h)=2a * 2b
Additive inverse and multiplicative inverse are mathematics function which creates net impact of an equation as zero.
The correct names are matched with their respective properties.
A. 7. 8 + [-8] = 0
B. 9. 5 * [1/5] = 0
C. 4. a + 5b = 5b + a
D. 2. [pq] * 1 = pq
E. 6. gh - hg
F. 3. [5x] y-5 [xy]
G. 10. 2 [a + b] = 2a * 2b
I. 5. a + 0 = a
J. 8. x* 0 = 0
Additive inverse property is when the net result from addition is zero.
Multiplicative inverse property is the equation which gives answer zero when two variables are multiplied.
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A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?
Using Pythagoras theorem
[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]
[tex]\\ \Large\sf\longmapsto P^2=225[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]
[tex]\\ \Large\sf\longmapsto P=15ft[/tex]
Answer:
Applying the Pythagorean theorem we have :wall length is : a²-b²=c²⇒17²-8²=c²⇒c=15(c>=0)Step-by-step explanation:
we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)
please help me please i will give brainliest
Answer:
I think It would be A
Step-by-step explanation:
Answer:
i think its A
Step-by-step explanation:
(if its not im sorry :( )
SHOW YOUR STEPS PLEASE. SOMEONE PLEASE HELP ME I NEED THE ANSWER ASAP!!!
The cost, c(x), in dollars per hour of running a certain steamboat is modelled by the function c(x)=1.7x^2-13.6+166.4, where x is the speed in kilometres per hour. At what approximate speed should the boat travel to achieve minimum cost? what is the minimum cost?
Answer:
x = 4
139.2
Step-by-step explanation:
Given the Cost function :
C(x) = 1.7x² - 13.6x + 166.4
To achieve minimum cost ;
dc/dx = 0
dc/dx = 2(1.7)x - 13.6
3.4x - 13.6 = 0
3.4x = 13.6
x = 13.6 / 3.4
x = 4
To achieve minimum cost, speed = 4 ;
Minimum cost will be :
C(x) = 1.7x² - 13.6x + 166.4
Put x = 4
C(4) = 1.7(4)² - 13.6(4) + 166.4
C(4) = 27.2 - 54.4 + 166.4 = 139.2
Minimum cost = 139.2
Which is a y-intercept of the continuous function in the
table?
х
-2.
-1
0
1
2.
3
f(x)
15
10
5
0
-5
-10
O (5,0)
O (0, 1)
O (0,5)
O (1,0)
Answer:
(0,5) --> 5 is the y intercept
Step-by-step explanation:
Give 6 x,y pairs you look for the pair with x=0 to find the y intercept,
SO that would be the 3rd set or (0,5)
The y-intercept of the function is A = ( 0 , 5 )
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Now , the x values of the function are
x = { -2 , -1 , 0 , 1 , 2 , 3 }
And , the y values of the function are
y = { 15 , 10 , 5 , 0 , -5 , -10 }
And , the y intercept of the function is when the value of x = 0
So , when x = 0
y = 5
Hence , the y-intercept is ( 0 , 5 )
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hello pls help it has to do with shapes and volume. thank u :D
Hi there!
[tex]\large\boxed{r\approx 10.6 cm}[/tex]
Solve for the radius using the pythagorean theorem:
a² + b² = c²
We know the lengths of the hypotenuse and one leg, so:
a = 12
b = ?
c = 16
Plug these into the equation:
12² + b² = 16²
Simplify:
144 + b² = 256
Subtract both sides by 144:
b² = 112
Take the square root:
b ≈ 10.6
Thus the radius is about 10.6 cm.
a microwave oven has a capacity of 1.59ft³. the interior of the microwave of the is 14 in wide and 14 in deep. what is the height of the interior of the microwave, to the nearest tenth of a foot
Step-by-step explanation:
The easiest way to do this is to imagine the microwave as a box. Ignore the turntables, whether or not something will spin if it touches an edge, and anything else that would make the fact that we're talking about a microwave confusing. This is a box now. :)
The capacity of our box is 1.59 ft^3, which means it can hold that much of "things" inside it. Instead of a capacity, we'll think of it as the box's total area. A tricky thing to note, is the area is given in ft, where the interior values are given as inches. So we'll need to turn the inches into feet.
To get the area of a box, we do length x width x height.
We're already given the length, 14 (inches), and the width, 14 (inches), so all we need to find now is the height (feet). To turn the lengths into feet, we'll divide them by 12, because there are 12 inches in 1 foot, or Feet = Inches / 12.
To finally turn it into math:
Area (A) = length (L) * width (W) * height (H)
[tex]A = L * W * H[/tex]
Insert known values.
[tex]1.59 = \frac{14}{12} * \frac{14}{12} * H[/tex]
Multiply.
[tex]1.59 = \frac{196H}{144}[/tex]
Simplify.
[tex]1.59 = \frac{49H}{36}[/tex]
Multiply both sides by 36.
[tex]1.59*36 = \frac{49H}{36}*36[/tex]
Simplify.
[tex]57.24 = 49H[/tex]
Divide both sides by 49.
[tex]\frac{57.24}{49} = \frac{49H}{49}[/tex]
Simplify.
[tex]1.16816326... = H[/tex]
To turn make this the nearest Tenth, we round up to the first decimal place.
Answer:
H = 1.2 ft
What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
15
B
х
20
Answer:
E
Step-by-step explanation:
(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
15² = x × 20
225 = 20x ( divide both sides by 20 )
[tex]\frac{225}{20}[/tex] = x , that is
x = [tex]\frac{45}{4}[/tex] → E
The value of the x in the given triangle is 45/4.
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.
Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.
we have,
CA / CB = CD / CA
15/20 = x/15
x = 15²/20
x = 225/20
x = 45/4
Hence, the value of the x in the given triangle is 45/4.
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Plz help me ASAP TwT
Answer:
Angle CBA
Step-by-step explanation:
It would be CBA because Angle 1 is between those 3 points. Angle 1 is where B is so B would have to go in the middle.
Hope this helps :)
Can someone help please
Answer:
[tex]10^{-3}[/tex]
Step-by-step explanation:
Answer:
https://tex.z-dn.net/?f=10%5E%7B-3%7D
Step-by-step explanation:
Is (3,8) a solution to the inequality 14x + 12y = 12?
Full working out for this question please.
Answer:
B. 3.2
Step-by-step explanation:
5 companies have 0 computers.
10 companies have 1 computer.
10 companies have 2 computers.
30 companies have 3 computers.
25 companies have 4 computers.
20 companies have 5 computers.
To find mean:
0 x 5 = 0
10 x 1 = 10
10 x 2 = 20
30 x 3 = 90
25 x 4 = 100
20 x 5 = 100
100 + 100 + 90 + 20 + 10 + 0 = 320
20 + 25 + 30 + 10 + 10 + 5 = 100
100 companies were surveyed.
100 companies use 320 computers in total.
320 / 100 = 3.2
