Answer:
Let a, b, c be the sides that oppose angles A, B, C, respectively. By the Law of Sines,
asinA=bsinB=csinC=d
where d is the circumdiameter of the triangle. If we conveniently scale the triangle so that d=1, then we can say simply that
a=sinAb=sinBc=sinC
This is a common simplification technique, as it nicely blurs the distinction between edges and angles, giving us things like this wonderfully-symmetric area formula:
Area=12abc(=12absinC=12acsinB=12bcsinA)
(When you have this mindset, you can't look at the expression "sinA+sinB+sinC" and not think, "That's perimeter!" ... and then you find yourself pursuing proof approaches like this one.) In what follows, I'll continue to use "a", "b", "c", because they're more compact than "sinA", etc, but you should read them as "sinA", etc.
I need help I don’t understand
Answer:
Decreases
Step-by-step explanation:
As 'n' increases the value of the (1/4) will decrease.
Say, n=1 ; 1/4
n=2 ; 1/4 * 1/4 = 1/16(because n=2, there are two 1/4s)
n= and so on
What is the value of the exponent when simplifying the following expression: 16^1/2•16^1/2
Select one or more:
A. 1/4
B. 1/2+1/2
C. 1
D. 0
E. 1/2•1/2
F. 1/2-1/2
Answer:
B.
Step-by-step explanation:
because they have the same base and it's a multiplication so you have to add the exponents
simplifying the following expression: 16^1/2•16^1/2
C. 1
how do u disapprove a prof statement
Given the functions F(x) = 6x + 11 and g(x) = × + 6, which of the following functions represents fla(x)] correctly?
F(x) = 6x + 11 and g(x) = x+6
f(g(x)) = 6(x+6) + 11 = 6x + 36 + 11 = 6x + 47
Hope that helps!
Alia and Zarius are each reading the same book. Alia read 1/2 of the book on Monday. She read 1/3 of the book on Tuesday. Zarius read 4/8 of the book on
Tuesday and 1/4 on Monday. Zarius said he read more than Alia. Is he correct? Please explain why?
Answer:
I believe Alia because she read 2.5/3 of the book and Zarius only read 3/4 of the book altogether.
Step-by-step explanation:
Z; 4/8=1/2 or 2/4 +1/4=3/4
A: 1/2=3/6+2/6= 5/6 if you divide that by 2 then she read 2.5/3 of her book
in then end 3rds are greater then fourths
What is the area of the triangle whose vertical are (-4,0), (-10,0) and (-7,-6)?
Step-by-step explanation:
from the point -10 to -4 thre is a difference of 6 uints . Base 6
from the x-axis to furthest point,
there is a difference of 6 units. Height 6
5. From 13 friends to 14 friends
Answer:
That would be 1
Step-by-step explanation:
To get 13 out of 14 you must add 1.
Scores on an English test are normally distributed with a mean of 37.6 and a standard deviation of 7.6. Find the score that separates the top 59% from the bottom 41%.
Please show work!
Answer:
35.9
Step-by-step explanation:
The "work" is entering the numbers into a suitable probability calculator. A TI-84 calculator will tell you ...
invNorm(0.41,37.6,7.6) = 35.87065818
A score of about 35.9 separates the bottom 41% from the top 59%.
A grocery store orders 4 large containers of milk for every 7 small containers of milk.
Which ratio could represent the number of large containers of milk to small containers
of milk in an order from the grocery store?
The ratio than could represent the number of large containers of milk to small containers of milk in order from the grocery store is 4:7 or 4/7.
What is a ratio?The ratio is the simplest form of a fraction involving two quantities determining each other. It is written as a:b, read as "a is to b", and functions as a/b.
How to solve the question?In the question, we are informed that a grocery store orders 4 large containers of milk for every 7 small containers of milk.
We are asked to determine the ratio of the number of large containers of milk to small containers of milk.
We know that a ratio is a fractional value, and for the number of large containers of milk to small containers of milk, we can write the ratio as:
Ratio = the number of large containers:the number of small containers = 4:7 or 4/7
Learn more about ratios at
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Find the range of f(-5)=-2|x-5|+8 please with explination.
Answer:
Domain: set of possible input values (x-values)
Range: set of output values (y-values)
The range for the function [tex]f(x)=-2|x-5|+8[/tex] is:
[tex]f(x)\leq 8[/tex]
(5, 8) is the vertex of the line
Because |x - 5| is absolute (so always positive) and it is multiplied by -2,
-2|x - 5| will always be negative unless x = 5 (when it will be zero). Therefore, the max y-value is 8.
However, your question actually asked what the function is when x = -5:
[tex]f(-5)=-2|x-5|+8\\\\= -2|-5-5|+8\\\\= -12[/tex]
Step-by-step explanation:
Thats the all rhe answers step by step
Liam by two boxes of tomatoes one box has two rows with eight tomatoes in each row the other box has eight rows with two tomatoes in each row
Hakim is saving money to buy a new bicycle. So far, he has saved $12. This amount is 8% of the amount he needs to buy the new bike. What is the cost of the bicycle?
Answer:
150 hope this helps
please help what is the answer and I will help me alot
Answer:
he will have $832.20 in his account if it is adding the rate if it is subtracting the rate then it is $627.80
Step-by-step explanation:
you first need to find out what is 2.8% of $730. this number ends up being $20.44 and you multiply it by 5 because the account exists for 5 years. then depending on if it is adding or subtracting to the account. if it is adding then it will be $832.20, and if it is subtracting it will be $627.80
P.S. This is all done by a kid in middle school.
In a company's first year in operation, it made an annual profit of $242,500. The profit of the company increased at a constant 22% per year each year. How much total profit would the company make over the course of its first 30 years of operation, to the nearest whole number?
Answer:
total profit = $428,517,224 (nearest whole number)
Step-by-step explanation:
Use geometric sum formula:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
where [tex]a[/tex] is the initial value and [tex]r[/tex] is the common ratio
We have been told that the initial value is 242500, so [tex]a=242500[/tex].
If the company's profit increases by 22% per year, this means each year's profit is 122% of the previous year's profit. 122% = 122/100 = 1.22
Therefore, [tex]r = 1.22[/tex]
We need to calculate the total profit earned over 30 years, so [tex]n = 30[/tex]
Inputting these values into the formula:
[tex]\implies S_{30}=\dfrac{242500(1-1.22^{30})}{1-1.22}=\$428,517,224 \ \textsf{(nearest whole number)}[/tex]
Help please i don’t know how to do it
Answer:
Step-by-step explanation:
[tex]\frac{dy}{dx}=x^{2}(y-1)\\\frac{1}{y-1} \text{ } dy=x^{2} \text{ } dx\\\int \frac{1}{y-1} \text{ } dy=\int x^{2} \text{ } dx\\\ln|y-1|=\frac{x^{3}}{3}+C\\[/tex]
From the initial condition,
[tex]\ln|3-1|=\frac{0^{3}}{3}+C\\\ln 2=C[/tex]
So we have that [tex]\ln |y-1|=\frac{x^{3}}{3}+\ln 2\\e^{\frac{x^{3}}{3}+\ln 2}=y-1\\2e^{\frac{x^{3}}{3}}=y-1\\y=2e^{\frac{x^{3}}{3}}+1[/tex]
can someone pls answer 1 and 2
WILL MARK BRAINLIEST
Answer:
first one is D i dont know second one sorry :(
Step-by-step explanation:
The tenputurr is -2 C.If the the temperature rises by 15 c, what is the new temperature
Answer:
13 degrees Celsius
Step-by-step explanation:
15-2=13
class of 28 13 boys and 15 girls
Answer: 15/13
Step-by-step explanation:
solve the following where a,b and c are constants
2y +z= a
3y +6z=b
if the question is 2y+3y=a and z+6z=b
then i could solve it otherwise sry
Help me pleaseee will give out lots of points
Answer:
x=73
Step-by-step explanation:
The two angles are equivalent, therefore x=73
ms. weaver bought 216 pencils for her class. The pencils came in pack of 24 how . many packs did she buy
Answer:
9 packs
Step-by-step explanation:
Step 1: Divide the number of pencils by the single pack that they came in.
216/24 = 9
Therefore, Ms. Weaver bought 9 packs for her class.
Verify: 9(24) = 216
Use constant of proportionality to write a proportional relationship please and I will give 100 points been stuck for ever
Answer:
No it doesn’t have a proportional relationship
Step-by-step explanation:
Ivan saved 9 dollars which is one third of the total cost. How much does the game cost?
Answer:
$27
Step-by-step explanation:
9 dollars = one third
3x9=27
hope this helps please thanks it and rate 5 stars
have a good day
Answer:
no tengo nada k decir ya te lo resolvieron
Step-by-step explanation:
WILL GIVE BRAINLETS FOR THE CORRECT ANSWER OR FIRST CORRECT ANSWER PLSS HELP The length of a bridge is 110 m. The length of each of Robert's paces is 75 cm. What is the minimum number of full paces that it would take Robert to walk the full length of the bridge?
Answer:
Step-by-step explanation:
Length of the bridge = 190 m = 190*100 = 19000 cm {100cm = 1m}
Length of each pace of Robert = 80 cm
Minimum number of full paces = 19000/80
= 237.5
= 238 {because full paces}
Russ has two jars of glue. One jar is 1/5 full.The other is 2/5 full. Use the fraction to write an equation to find the right amount of glue Russ has.
Answer: 3/5
Step-by-step explanation: 1/5 + 2/5 = 3/5
Answer:
3/5
Step-by-step explanation:
To find the right amount of glue Russ has, we have to add both of the jars of glue. One of them is 1/5 full, and the other is 2/5 full, we add them both together to get 3/5.
how many square feet of outdoor carpet will we need for this hole 12 2 3 7
Answer: 122376
Step-by-step explanation:
The bottom of a ladder must be placed 5 feet from a building. If the ladder touches the building 13.1 feet above the ground, find the length of the ladder to the nearest foot
Applying the Pythagorean theorem, the length of the ladder to the nearest foot is: 14 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that if c is the hypotenuse of a right triangle, and a and b are the legs of the right triangle, then, c = √(a² + b²).
Thus, the ladder leaning on a building will form a right triangle, such that:
Hypotenuse = the length of the ladder = c
a = 5 ft
b = 13.1 ft
Therefore:
c = √(5² + 13.1²)
c = 14 ft
Therefore, applying the Pythagorean theorem, the length of the ladder to the nearest foot is: 14 ft.
Learn more about the Pythagorean theorem on:
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anybody please Hrd can u sole this pleaseeeeeeeeeeeee. soon ASAP...
1i) 3m. 3 x m is the same as 3m
1ii) 2m + 15. 2 x m + 15 can be written as 2m + 15
Answer:
3m and 2m+15
Step-by-step explanation:
"three times m" = 3 multiplied by m = 3m
"15 more than twice the given number"
Twice the given number is 2m. 15 more than that is 2m+15.
Which of the following is the graph of the function y = 10 times 1.08 Superscript x?
a.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 10) to quadrant 1.
c.
On a coordinate plane, a curve approaches the x-axis in quadrant 3, and then decreases through (0, negative 10) to quadrant 4.
b.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 16) to quadrant 1.
d.
On a coordinate plane, a curve approaches the x-axis in quadrant 2, and then increases through (0, 5) to quadrant 1.
Answer:
a)
Step-by-step explanation:
The y-intercept is when x = 0.
[tex]a^0=1[/tex], therefore when x = 0, y = 10
So the y-intercept is (0, 10)
The curve approaches the x-axis in quadrant 2, increases, passes through (0, 10) to quadrant 1 (see attached graph)
If 9x + 1 = 1, find the value of x.
Answer:
the value of x is 0
Step-by-step explanation:
you: thanks
Me: no problem :)
