Answer:
x = 3, y = 2
Step-by-step explanation:
[tex]360 = {2}^{x} \times {3}^{y} \times 5 \\ \\ \frac{360}{5} ={2}^{x} \times {3}^{y} \\ \\ 72 = {2}^{x} \times {3}^{y} \\ \\ 8\times 9 = {2}^{x} \times {3}^{y} \\ \\ {2}^{3} \times {3}^{2} = {2}^{x} \times {3}^{y} \\ \\ equating \: like \: terms \: on \: both \: sides \\ {2}^{3} = {2}^{x} \\ \\ \implies \: x = 3 \\ \\ {3}^{2} = {3}^{y} \\ \\ \implies \: y= 2 \\ \\[/tex]
The area of rectangular is 64m the length of the pool is 12 m less that the width .The situation can be represented by the equation x
Answer:
Width = 16 m
Length = 4 m
Step-by-step explanation:
The area of rectangular is 64m² the length of the pool is 12 m less that the width . The situation can be represented by the equation x
Area of a rectangle = Length × Width
L = W - 12
Hence:
64 = (W - 12) × W
64 = W² - 12W
W² - 12W - 64 = 0
Factor using
(W + 4)(W - 16) = 0
Width = 16m
Length = W - 12
Length = 16 m - 12 m
= 4 m
factor completely 21x^3+35x^2+9x+15
Answer:
(3x+5)(7x^2+3)
Step-by-step explanation:
Factor : 21x^3+35x^2+9x+15
21x^3+35x^2+9x+15
=(3x+5)(7x^2+3)
______________________
Hope this helps!
Same as before this test... is just driving me crazy I'm blowing all my points through these so...
Answer and Step-by-step explanation:
For this, you would need to use the trigonometric function Sine and cosine.
The trig equations are:
sin(θ) = [tex]\frac{opposite - side}{hypotenuse}[/tex]
cos(θ) = [tex]\frac{adjacent-side }{hypotenuse}[/tex]
Let's start with Sine:
sin(60) = [tex]\frac{x}{10\sqrt{3} }[/tex]
Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].
[tex]10\sqrt{3} (sin(60)) = x[/tex]
Input into calculator and solve.
x = 15
Now for Cosine:
cos(60) = [tex]\frac{y}{10\sqrt{3} }[/tex]
Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].
[tex]10\sqrt{3} (cos(60)) = x[/tex]
Input into calculator and solve.
y = [tex]5\sqrt{3}[/tex]
x = 15
y = [tex]5\sqrt{3}[/tex]
These are the answers.
I hope this helps!
#teamtrees #PAW (Plant And Water)
Step-by-step explanation:
It's a right triangle with one of the angles being 60°. This means that the leftover angle is 30°. This allows me to use the attached screenshot as a reference, so please check it out if you want to understand how to easily solve those types of equations in the future. Anyway, we can specify the hypotenuse as [tex]a[/tex] .
First, let's calculate the value of [tex]y[/tex].
[tex]a[/tex] = [tex]10\sqrt{3}[/tex]
[tex]y[/tex] = [tex]\frac{a}{2}[/tex]
[tex]y[/tex] = [tex]\frac{10\sqrt{3} }{2}[/tex]
[tex]y[/tex] = [tex]5\sqrt{3}[/tex]
----
Now, let's get to [tex]x[/tex]
[tex]a[/tex] = [tex]10\sqrt{3}[/tex]
[tex]x[/tex] = [tex]\frac{a\sqrt{3} }{2}[/tex]
[tex]x[/tex] = [tex]\frac{10 \sqrt{3} * \sqrt{3}}{2}[/tex]
[tex]x[/tex] = [tex]\frac{10 * 3}{2}[/tex]
[tex]x[/tex] = [tex]\frac{30}{2}[/tex]
[tex]x[/tex] = [tex]15[/tex]
----
[tex]x[/tex] = [tex]15[/tex] and [tex]y[/tex] = [tex]5\sqrt{3}[/tex]
Multiply (5x-2)^2
A: 25x^2 - 4
B: 25x^2 - 10x + 4
C: 25x^2 - 20x + 4
D: 25x^2 + 20x + 4
Say a answer not a website
please please please please helppppp
Answer:
3: D 4: A 5: B not completely sure about 5 though
You are giving a Rubik's cube as a gift. The side of the Rubik's cube 3 inches. You want to wrap the gift with no paper left over. How much wrapping paper do you need
Answer:
18in of rapping paper
Step-by-step explanation:
a rubics cube has 6 sides so 6x3=18
Which equation has the roots x=1 and=-7/5
Answer:
i dont know
Step-by-step explanation:
PLEASE HELP ASAP
find JL
Answer:
7
Step-by-step explanation:
HEEELP MEEEE FIND THE CIRCUMFERENCE
Answer: 56.52
Step-by-step explanation:
i really need help with this:
Jasmine drew a rectangle with an area of 4 square inches. Jasmine drew a new scaled version of the original rectangle using a scale factor of 5. What is the area, in square inches, of the new rectangle?
Answer:20
Step-by-step explanation:
i wrote 10 for some reason
4, 6, 9, ... find the 7th term.
Answer:
16
Step-by-step explanation:
Here,
a=4
d= t1 - t2
=6-4
=2
tn = a +(n-1)d
t7 = 4+ (7-1)2
= 4+ 6×2
= 4 + 12
= 16
Callie has $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, what is the price of one potato?
Answer:
0.95 or .95
Step-by-step explanation:
can some pls help me find the slope of this line i really really need help
Answer:
Slope = Rise over Run
Rise = 2
Run = 3
Slope = 2/3
Let me know if this helps!
Which of the following are the sines for the angles of this triangle? Select all that apply.
Answer:
Answer attached
Step-by-step explanation:
If a f=23cm, find the length of EC.
Answer:
37.3
Step-by-step explanation:
The length of EC shown in the diagram is 37.3.
"To understand the calculation, check below."
TrianglesΔBE -ΔAE= ΔAB
ΔAB=180°-148°
ΔAB=32°
ΔBE -ΔAB-ΔBC=ΔCD (Congruent angles)
ΔCD = 180-32-87
ΔCD =62
EC=61+32
EC=93
L=93•2pi23/360
L=37.3
Therefore , EC=37.3
Learn more about "Congruent angles":
https://brainly.com/question/2789152?referrer=searchResults
Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8
Use the long division method to find the result when 12x^3+17x^2+12x+4 is divided by 3x + 2.
Answer:
Step-by-step explanation:
not sur
e
Answer: 307 ÷ 24 = 209 ÷ 32 = 456
Step-by-step explanation:
1) Enter the value of n that makes the equation 4^6• 4^n= 4^9 true.
neeed help nooiw right now
Answer:
slope is 1/3 and y-intercept is (0, 1)
Answer:
the slope is 3,5 or 6 i think hope it is right
Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
Tyler is observing the ascent of a steel beam being lifted by a crane from a position about 250 ft away. What trigonometric function models the height h in feet of the beam as a function of the angle of inclination θ from Tyler's position to the steel beam
Answer: [tex]h=250 \tan \theta[/tex]
Step-by-step explanation:
Given
Tyler is 250 ft away from the crane
The angle of inclination is [tex]\theta[/tex]
Using the figure, we can write heigh h as
[tex]\Rightarrow \tan \theta =\dfrac{h}{250}\\\\\Rightarrow h=250\tan \theta[/tex]
HELP with part (b) will mark brainlest!!!!!
Answer:
Number 2 would be the correct choice
Step-by-step explanation:
Substitute x and y on (3x, 3y) with the given points of X, Y, and Z to see if the answer matches with X', Y', and Z'.
X (3(2), 3(3)) -> X' (6, 9)
Y (3(3), 3(-1)) -> Y' (9, -3)
Z (3(-4), 3(-2)) -> Z' (-12, -6)
Divide Rs 60 into the ratio of 1:4
Answer:
12: 48
Step-by-step explanation:
There are a total of 5 parts in 1:4, so one part would be:
60/5 = 12
This means the ratio is 12: 4 * 12 or 12: 48
HElppppppppppppppppppppppppppppppppp
Answer:
x=16 degrees
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
85 - 21 = 64
64/4 = 16
this is assuming they are same length
If an = a1 x 5^n-1 and a1=1
what is the value of a5?
Please help will give you Brainliest *image
please i have a hw and i need help
Answer:
11: A. Some ferrets are longer than some fishers.
12: The range for the fisher is 25cm greater than for the ferret.
13. The mean for the ferret is 11cm less than for the fisher.
5. Probably 18 members.
6. Probably 210
9 less than m squared
Answer: b = m
(3 + m)(3 - m)
Step-by-step explanation:
What is the surface area of this right circular cone? (plsss help lol 20 points)
Answer:
B.
Step-by-step explanation:
Surface area = πr(r + L) where r = radius of the base and L = the slant height.
= 12π(12 + 40)
= 12*52π
= 624π.
If the constant bounding the error in the Euler method is 0.2 and you wanted a 9 decimal place accuracy, how many steps, n, would you need ensure this accuracy?
Answer:
The answer is "13".
Step-by-step explanation:
Euler method=e=0.2 constantly binding the error
Precision should be 9 decimal places=0.000000001
The number of steps should be n.
In order to guarantee precision,
[tex]\to 0.2^n> 0.000000001\\\\ \to n> \frac{\log(0.000000001) }{\log(0.2)} \\\\ \to 12.876 \approx 13[/tex]