Answer:
c = 9.7
Step-by-step explanation:
Using the law of sines
sin 55 sin 82
---------- = ---------------
8 c
Using cross products
c sin 55 = 8 sin 82
c = 8 sin 82 / sin 55
c=9.67115
To the nearest tenth
c = 9.7
Does anyone know the answer
Answer:
It's False Because Hypotenuse will be the longest side of leg here
What is the sum of the angles 'a' and 'b' from the diagram below.
Answer:
90+ 135= 225
Step-by-step explanation:
a can be found with formula (n-2)×180/n, where n is number of sides
a= 135
b=90
One of the legs of a right triangle measures 9 cm and the other leg measures 16 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
-
Answer:
18.4 cm
Step-by-step explanation:
Using Pythagoras rule:
Hypotenuse =
[tex] \sqrt{9 ^{2} + 16 ^{2} } [/tex]
= 18.4 cm
Once upon a time there was a farmer whose family raised pigs and chickens. If you counted 24 heads and 80 feet, how many chickens were there? How many pigs were there?
Answer:
Number of chickens = 8
Number of pigs = 16
Step-by-step explanation:
Let the pigs = p
Let the number of chickens = c
Number of heads = 24
p + c = 24 ----------------(I)
p= 24 - c
Number of feet = 80
Chicken has 2 legs and pig has 4 legs
4p + 2c = 80 --------------(II)
Substitute p = 24 - c in equation (II)
4*(24 - c) + 2c = 80
4*24 - 4*c + 2c = 80
96 - 4c + 2c = 80 {Combine like terms}
96 - 2c = 80 {subtract 96 from both sides}
-2c = 80 - 96
-2c = -16 {Divide both sides by (-2)}
c = -16/-2
c = 8
Plugin c = 8 in equation (I)
p + 8 = 24
p = 24 - 8
p = 16
Factor the Quadratic: 3x^2+12x-36=0
Answer:
3x ^ 2 + 12x-36 = 0
3(x²+ 4x-12)=0
3(x²-2x+6x-12)=0
3[x(x-2)+6(x-2)]=0
3(x-2)(x+6)=0
⇒[tex]\left \{ {{x-2=0} \atop {x+6=0}} \right.[/tex]⇔[tex]\left \{ {{x=2} \atop {x=-6}} \right.[/tex]
What is the value of the expression below when x=3 and y=8?
6x +10y
Answer:
98
Step-by-step explanation:
The value of the expression below when x=3 and y=8 is 98.
What is the range of the function graphed below?
у
1
e
6
2
х
-6
8
2
-6-
-8
A. -< y < 2
B.
-00 < y < -2
C. -
D
-2 < y < 0
Answer:
-infinity < y ≤ 2
Step-by-step explanation:
A is correct. The largest value y can have is 2, whereas there is no smallest value. -infinity < y ≤ 2
The range of the given graph will be -∞ ≤ y ≤ 2. The correct option is A.
What is the range?The collection of all a function's outputs constitutes its range. Example: Let's take a look at the function f: AB, where f(x) = 2x and A and B each represents a collection of natural numbers. The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
The range of the function is -∞ ≤ y ≤ 2. When we move towards the left side the value of y reaches negative infinity and when we move to the right the value of y reaches the value of 2.
It means that the range of the function is varying from negative infinity to a positive value of 2.
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A heron can travel an average of 400 km in 10h. What is the rate of change of distance?
Rate of change of distance is also known as speed.
Given,
Distance (s) = 400km = 400 × 1000m = 400,000m
Time (t) = 10h = 10 × 3600s = 36,000s
We know that,
Speed (v) = Distance/Time
[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]
A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
What is the meaning of the term “distance”?Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.
The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.
The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.
[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]
Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
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Plz solve it
Factorize: no w
Answer:
here we can go for two solution
Hotdogs come in packages of 10, while rolls come in either 8 or 12. What is the smallest number of packages of each you have to buy in order to have the same number of hotdogs and rolls?
Please explain the answer.
if the rolls come in 8
then we check which multiples 8 and 10 have in common which is 40
8,16,24,32,40
10,20,30,40
which is 5 packages of rolls and 4 pack of hot dogs
if the rolls are 12
we check the multiples which they have in common
12,24,36,48,60
10,20,30,40,50,60
which is 5 packages of rolls and 6 pack of hot dogs
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A bag contains n white tiles and five black tiles. The tiles are all equal in shape and sizes. A tile is drawn at random and is replaced. A second tile is then drawn.
Find
a) the probability that the first tile is white
b) the probability that both the first and second tiles are white
We know that our bag has n white tiles and 5 black tiles.
So, the total number of tiles in the bag is n + 5.
We know that a tile is drawn at random and is replaced, then a second tile is drawn.
a) We want to find the probability that the first tile is white.
Because all the tiles have the same probability of being randomly drawn, the probability of drawing a white tile is just the quotient between the number of white tiles and the total number of tiles in the bag.
[tex]P = n/(n + 5)[/tex]
And for the second draw, we do not have any restrictions, so the probability is the above one.
[tex]P = n/(n + 5)[/tex]
b) Now we want both tiles to be white.
For the first one we already know the probability, which is:
[tex]P = n/(n + 5)[/tex]
And because the tile is replaced, the probability of drawing a white tile again is exactly the same:
[tex]Q =n/(n + 5)[/tex]
The joint probability (the probability of both of these outcomes to happen together) is the product of the individual probabilities.
Probability = [tex]P*Q = (n/(n + 5))^2[/tex]
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what is a fraction between 1/31 and 1/22?
__________
Step-by-step explanation:
Q = { 1/31 < x < 1/22 }
Q = { 1/30, 1/29, 1/28, 1/27, 1/26, 1/25, 1/24, 1/23 }
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SEE QUESTION IN IMAGE
Answer:
See belowStep-by-step explanation:
(b)
The table is attached(i)
The graph is attached(ii)
(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median
(b) Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:
500 - 177 = 323(iii) P(pass) = 323/500 = 0.626 or 62.6%
1. Write an expression in simplest form for the area of the figure below:
(answer pls)
Answer:
(5x+6)(2x+5)-(2x+4)(x+8) simplified is 8x^2+17x-2
Step-by-step explanation:
Answer:
13x²+16x+28
Step-by-step explanation:
S=(5x+6)×(3x+2)=15x²+28x+12
2x+5-x-3=x-2
5x+6-3x+2=2x+8
(x-2)×(2x-8)=2x²-12x+16
15x²+28x+12-2x²-12x+16=13x²+16x+28
누가 좀 도와주세요 help
[tex] \sin(36) - \cos(54) \\ \tan(80) - \cot(10) [/tex]
Answer:
Step-by-step explanation:
Sin (90 - ∅) = Cos ∅
90 -54 = 36
Sin 36 = Sin (90 - 54)
= Cos 54 --------->(I)
Now, Sin (36) - Cos (54) = Cos 54 - Cos 54 {From 1}
= 0
2) tan (90-∅) = Cot ∅
Tan 80 = Tan (90 - 10)
= Cot 10 ----------(II)
Tan 80 - Cot 10 = Cot 10 - cot 10 -----------(from (II)}
= 0
Are you korean?
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The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below:
48.2 47.8 45.6 47.2 49.3
51.2 44.2 45.4 49.2 43.6
(a) Calculate the unbiased estimates of population mean and standard deviation of battery standby duration (in hours) of the new cell phone.
(b) The manufacturer claimed that this new model of cell phone has the mean battery standby duration of longer than 46.5 hours. Test at 1% significance level if this claim is true.
x = number of hours
want to find probability (P) x >= 13
x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.
P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
To convert that to percentage, multiply 100, to get 84.13%
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have. (Hint: one is the other simplified)
Answer:
(N)0.05 + (17-N)0.1 = M; M = amount of money I have.
Or 1.7-0.05N = M.
Step-by-step explanation:
Can someone help me I don't understand
Answer:
Q'(3,1) R'(2,5) S'(4,3)
Step-by-step explanation:
Q (-4,-4) -4+7= 3 and -4+5=1 so (3,1)
R (-5,0) -5+7=2 and 0+5=5 so (2,5)
S (-3,-2) -3+7=4 and -2+5=3 so (4,3)
Ray is making his reward winning lemonade recipe for a party he is comparison shopping for lemons at super pioneer supermarket he can buy 4 lemons for 1.60 ray visits keyfood and found 3 lemons cost 1.80 use the table below to compare the values
Step-by-step explanation:
Super Pioneer:
If at the Super Pioneer Store he can get 4 lemons for 1.6 dollars, 1 lemon should cost:
4: 1.6
1:. X
4x = 1.6
X = 1.6/4
X = 0.4
1 lemon costs 0.4 dollars
How many lemons could we get from $2.4?
1 : 0.4
X : 2.4
0.4x = 2.4
X = 2.4/0.4
X = 6
2.4 dollars would get you 6 lemons
8 lemons would cost= 8x0.4 = $3.2
Keyfood Supermarket
3 lemons cost 1.8$, so how mucb does 1 lemon cost?
3: 1.8
1 : X
3x = 1.8
X = 1.8/3
X = 0.6
If 1 lemon costs 0.6, how many lemons could you buy from $3?
1: 0.6
X : 3
3 = 0.6x
X = 3/0.6
X = 5
If 1 lemon cost 0.6$, 8 lemons would cost:
8 x 0.6 = $4.8
(I have also edited the answers on the table, but sorry if they seem a bit messy)
Answered by G a u t h m a t h
What is the base area of the cone?
Answer:
Step-by-step explanation:
In order to find the area of the circle base, we need the radius, and we don't have it. We'll use the volume to find the radius, as follows:
[tex]V=\frac{1}{3}\pi r^2h[/tex] and fill in the givens:
[tex]75=\frac{1}{3}\pi r^2(5)[/tex] and solve that for r;
[tex]r=\sqrt{\frac{3(75)}{5\pi} }[/tex] so
r = 3.784698783 and plug that in for the radius to find the area of the circle base:
[tex]A=\pi r^2[/tex] so
[tex]A=\pi (3.784698783)^2[/tex] gives you that
A = 45 meters squared, exactly. No decimal.
A and B can do the work in 8 days ; B and C can do the work in 12 days ;A ,B and C together can finish it in 6 days .In how many days A and C together will do the same work
classify the following triangle check all that apply
Answer:
A. Scalene & E. Right
Step-by-step explanation:
The triangle is a scalene-right triangle. It is a right triangle because it has a 90 degree/right angle. It is a scalene triangle because all 3 sides have different lengths.
I need help ASAP!! Please explain how to solve the question
Answer:
318
Step-by-step explanation:
Let's divide this shape into 2 triangles & 3 rectangles.
Area of Triangle = 1/2 (bh)
(1/2 (9x6) ) x 2 = 54
Area of Rectangles = (9x11) + (8x11) + (7x11)
= 264
264 + 54 = 318km^2
Answered by g a u t h m a t h
It’s 11 but I need help
A,12/15=4/5
B,20/25=4/5
C,25/30=5/6
D,28/35=4/5
=> C
que es la razon de una figura semejante
Answer:
English for fast response
Calculate using order of operations.
7.8+6.2×(4-1.5)×4
Answer:
I believe that the answer is 69.8
can anyone help me pleassseeee!
Answer:
baba booey
Step-by-step explanation:
How many natural numbers are between 97 through 256?
Answer: go to this website https://en.wikipedia.org/wiki/256_(number) it may help you
Step-by-step explanation:
There are 156 natural numbers between 97 and 256.
What are the Natural Numbers?Natural numbers are defined as refer to a set of all the whole numbers excluding 0. We generally utilize these numbers in our speech and daily activities. Everywhere we look, numbers are used to count things, represent or exchange money, measure temperature, tell the time, etc. These numbers that are used for counting objects are called 'natural numbers'. For example, while counting objects 5 pencils.
Given data as :
The natural numbers are 97 and 256
To determine the numbers between the following, firstly subtract them and then subtract 2 to it.
97 and 256
⇒ 256 - 97
⇒ 158
Substract 2 from it.
= 158 -2
= 156
Thus, there are 156 natural numbers between 97 and 256.
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PLEASE HELP! DUE TODAY :))
Step-by-step explanation:
do like the picture I sent
Out of a class of 150 one third opted for Germany two fifth for Italian and rest for French. find how many opted for French
Answer:
40
Step-by-step explanation:
Total is 150
Germany=1/3 *150 = 50
Italian= 2/5 * 150 = 60
Total - Germany- Italian= French
150 - 50 -60= 40