Answer:
508
Step-by-step explanation:
23 * 13 = 299
19 * 11 = 209
299+209=508
What is the solution to this system of linear equations?
x-3y=-2
x + 3y = 16
O (7, 3)
O (3,7)
O (-2, -3)
O (-3, -2)
Answer:
(7, 3)
Step-by-step explanation:
We can solve this system using elimination. In this scenario, we can eliminate x by subtracting the two equations:
x-3y=-2
x+3y=16
-3y-3y=-2-16
-6y=-18
Divide both sides by -6
y=3
Plug 3 back in for y to solve for x:
x-3(3)=-2
x-9=-2
Add 9 to both sides
x=7
(x, y) = (7, 3)
I’m not sure what I have doing wrong but it still incorrect
Answer:
280.2 m²
Step-by-step explanation:
The height of the triangle is found using the Pythagorean theorem.
a² +b² = c²
13² +b² = 20²
b² = 20² -13² = 400 -169 = 231
b = √231 ≈ 15.199 . . . . meters
The area of the figure is 1/4 the area of a circle with radius √231 together with the area of the triangle with base 13 and height √231.
Triangle Area = 1/2bh
= 1/2(13)(15.199) ≈ 98.791 . . . . square meters
__
The area of the 1/4 circle is ...
Sector Area = (1/4)πr² = 1/4π(√231)² = (231π)/4 ≈ 181.427 . . . . square meters
__
The figure area is the sum of the triangle and quarter circle areas:
figure area = 98.791 m² +181.427 m² ≈ 280.2 m²
_____
Additional comment
If you use 3.14 for π, then the total will be 280.1 m².
Answer:
280.2 sq meters
Step-by-step explanation:
First you have to find the third side of the triangle because it is the height of the triangle and also the radius of the circle. Using Pythagorean theorem:
x^2 + 13^2 = 20^2
x^2 + 169 = 400
x^2 = 400 - 169
x^2 = 231
x = sqroot(231)
x = 15.2
Area of triangle:
A = 1/2 b•h
= 1/2•13•15.2
= 98.8
Area of a circle:
A = pi•r^2
Area of a 1/4 Circle:
A = 1/4•pi•r^2
=1/4(3.14)(15.2)^2
= 181.4
Area of Whole Shape:
98.8 + 181.4
= 280.2 sq meter
Hello everyone, I'm just having trouble on two questions for my Calculus work. I need to solve them using trig substitution to eliminate the root. Does anyone know where to start with this problem? Any help would be greatly appreciated!
The main idea is to exploit the trigonometric identity,
sin²(θ) + cos²(θ) = 1
2. For an integral containing 16 - 81x², you might substitute x = 4/9 sin(θ) (with differential dx = 4/9 cos(θ) dθ, but without an actual integral to work with this isn't really important). Then
16 - 81x² = 16 - 81 (4/9 sin(θ))²
… = 16 - 81 (16/81 sin²(θ))
… = 16 - 16 sin²(θ)
… = 16 (1 - sin²(θ))
… = 16 cos²(θ)
so that in the root expression, we would end up with
[tex]\left(16 - 81x^2\right)^{7/2} = \left(16\cos^2(\theta)\right)^{7/2} = 2^{14} |\cos(\theta)|^7[/tex]
since [tex](ab)^c=a^cb^c[/tex] for all real a, b, and c; [tex]16^{7/2}=\left(2^4\right)^{7/2}=2^{14}[/tex]; and [tex]\sqrt{x^2}=|x|[/tex] for all real x.
The goal is to replace x with some multiple of sin(θ) that makes the coefficients factor out like they did here, which then lets you reduce 1 - sin²(θ) to cos²(θ).
And don't be discouraged by the absolute values; in the context of a definite integral, there are things that can be done to remove them or otherwise simplify absolute value expressions.
3. Substitute z = 1/√8 sin(θ) (so that dz = 1/√8 cos(θ) dθ). Then
1 - 8z² = 1 - 8 (1/√8 sin(θ))²
… = 1 - 8 (1/8 sin²(θ))
… = 1 - sin²(θ)
… = cos²(θ)
so that
[tex]\left(1-8z^2\right)^{3/2} = \left(\cos^2(\theta)\right)^{3/2} = |\cos(\theta)|^3[/tex]
what’s the answer to this geometry question??
Answer:
Step-by-step explanation:
The apothem of the square is four time lower than the area squared. Thus, to do this, we must use the formula A = s^2
Using this, we do A = s^2, and replace s for 12. Doing exponents first following order of operations (PEMDAS), we get 144. Now, that's only one side of the square. Since the square is 4 sides, we must multiply by four. Thus, your answer is (144 * 4) = 576 cm^2.
Answer: 576 cm squared.
Solve the following inequality algebraically:
1 less-than 3 x minus 2 less-than 4
a.
1 less-than x less-than 2
b.
0 less-than x less-than 3
c.
1 greater-than x greater-than 2
d.
0 greater-than x greater-than 3
Answer:
1 less-than x less-than 2
b.
0 less-than x less-than 3
c.
1 greater-than x greater-than 2
d.
0 greater-than x greater-than 3
Answer:
The Answer is A. 1 < x < 2
Step-by-step explanation:
please help me with this question
Answer:
x = 14
Step-by-step explanation:
Think:
What subtracts 10 can get you 4?
Or you can add 10 on both sides.
The flight from Perth to London is 16 hours and 35 minutes. The time in Perth is 7 hours ahead of London. A flight leaves Perth at 8am on Wednesday. What is the time in London when the flight arrives?
Answer:
Flight arrived in london on 5 : 35 pm Wednesday
Step-by-step explanation:
Time = 16 h 35 min
Time difference = 7 h
Flight time = 8am
So
According to perth time flight reached in london is
8 am + 16 h 35 m = 8 am + ( 12 h + 4h + 35 m) =
8pm + 4h +35 = 12am + 35m = 12 : 35 am
The time difference is 7 h ,so minus this from perth time
12 : 35 am - 7h = 5 : 35 pm
Mark brainliest if you understand
5.) Mrs. Cannon is going to be giving a test that is 100 points. The test will have short answer questions that are 10 points each and multiple-choice questions that are worth 5 points each. A.) Identify the variables and what each represents?
Answer: x= how many short answer response questions on the test and y= how many multiple choice questions
hope this helps :)
Step-by-step explanation:
A ream of paper containing 500 sheets is 5 cm thick. How many sheets of this type of paper would there be in a stack 7.5 cm high?
Step-by-step explanation:
An animal is running at a rate of 50 ft per sec.
(a) If the animal runs for 7 sec,
(b) If the animal travels d ft, what is its time
Answer:
49
Step-by-step explanation:
Can you please help me???
Answer:
Your answer of coplanar is correct
Step-by-step explanation:
A skew line are 2 lines that aren't parallel and do not intersect.
Since there are arrows on either end of AC and RS , it mean those lines continue, and they will eventually intersect.
It is also not the other 2 clearly, since they do intersect and they don't make a 90° angle
So yes,
The answer is Coplanar
Hope this helps.
PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!
Answer:
Therefore has one solution.
explanation:
Given equations:
6x + y = -7
-24x -7y = 25
Make y the subject:
6x + y = -7
y = -7 - 6x ..............equation 1
-24x -7y = 25
-7y = 25 + 24x
y = (25 + 24x)/-7 ..........equation 2
Solve them simultaneously:
(25 + 24x)/-7 = -7 - 6x
25 + 24x = -7 (-7 - 6x)
25 + 24x = 49 + 42x
42x - 24x = 25- 42
18x = -24
x = [tex]-\frac{4}{3}[/tex]
Then y is:
y = -7 - 6x
y = -7 - 6( [tex]-\frac{4}{3}[/tex])
y = 1
Has one separate value of x and y: ( [tex]-\frac{4}{3}[/tex] , 1 ); so it has one solution.
The white shark can grow to a length of 21 feet. This is 52.5% of the maximum length of the Baird's beaked whale. Find the maximum length of the Baird's beaked whale. If necessary, round your answer to the nearest tenth.
Answer:
31 ft.
Step-by-step explanation:
so 52.5% leaves 47.5% left. and so you can take 21 * 1.475 (147.5%) and get 30.975. you round to the nearest tenth which goes up to 31 ft.
Answer:
40
Step-by-step explanation:
I got this by working through all the answer choices, this one is most logical :) I also submitted my assignment and got this correct !
stay happy :)
PLEEEASEE HELP ASSAAAPP!!!!
Apply the distributive property to factor out the greatest common factor. 6+30=
Answer:
6(1+5)
Step-by-step explanation:
The greatest common factor is 6
(6 + 30) = 6(1+5)
6(1+5) is the answer
Hope this helps :)
Have a nice day!
At age 30 you deposit $150 at the end of each month into an IRA that pays 4% interest compounded monthly. At age 65, what will the value of the annuity be?
[tex]~~~~~~~~~~~~\underset{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}}\\ \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right][/tex]
[tex]\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &150\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &35 \end{cases}[/tex]
[tex]A=150\left[ \cfrac{\left( 1+\frac{0.04}{12} \right)^{12\cdot 35}-1} {\frac{0.04}{12}} \right]\implies A= 150\left[ \cfrac{\left( \frac{301}{300} \right)^{420}~~ - ~~1}{\frac{1}{300}} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 137059.64~\hfill[/tex]
6.What is of 40%of40%? a.12. b.14 .c.15.d.16
Percentage
0.4 x 0.4 = 0.16 =16% (d)
What is the value of the expression 0.5 squared?
0.125
0.25
0.52
1
Answer:
0.25
Step-by-step explanation:
the sqare root of 5 normally is 25, therefore in decimals its the same but in decimals..... so 0.25... is the correct option :)
Hope this helps!
Please Mark Brainliest!
Answer:
25
Step-by-step explanation:
Multiply both factors (0.5) x (0.5) = 0.25
Please help simplify the second question
Answer:
[tex]\frac{3x}{(x-3)(x+1)}[/tex]
Step-by-step explanation:
[tex]\frac{2x-1}{x^2-2x-3}[/tex] + [tex]\frac{1}{x-3}[/tex]
= [tex]\frac{2x-1}{(x-3)(x+1)}[/tex] + [tex]\frac{1}{x-3}[/tex]
multiply the numerator/ denominator of 2nd fraction by (x + 1)
= [tex]\frac{2x-1}{(x-3)(x+1)}[/tex] + [tex]\frac{x+1}{(x-3)(x+1)}[/tex]
add the numerators , leaving the common denominator
= [tex]\frac{2x-1+x+1}{(x-3)(x+1)}[/tex]
= [tex]\frac{3x}{(x-3)(x+1)}[/tex]
Answer:
A) (x+1)(x-3)
B) 3x / x^2 - 2x - 3
or (3x ÷ x^2 - 2x - 3)
Hope this helps!
help me please!!!!!!!
-3 1/2 divided by 1 1/4
-2 and 4/5 ..............................
Simplifying, we get
-3 1/2 is -3.5
1 1/4 is 1.25
so, -3.5/1.25=
-2.8
Try This out no links or I will report you
Answer:
Answer = 9
Step-by-step explanation:
Hope This Helps :) Have an awesome day
Calculator
A net of a cylinder with radius 4 inches and height 8 inches is
given
What is the surface area of this cylinder?
8 in.
Use 3.14 for TT
Enter your answer in the box.
4 in.
in?
Answer:
200.96 in²Step-by-step explanation:
Surface area:
S = 2πrhS = 2*3.14*4*8 = 200.96 in²Linda, Frank, and Alan served a total of 78 orders Monday at the school cafeteria. Linda served 6 more orders than Alan. Frank served 2 times as many orde as Alan. How many orders did they each serve? Number of orders Linda served:
frank served
Alan served
Answer:
Frank served 32
Alan served 18
Linda served 24
Step-by-step explanation:
78-6=72
72 divided by 4 = 18
Next time if you need help on these kind of questions, try drawing a bar diagram, it really helps
what is 29.1 + 78.9+ 41.5
Answer:
149.5
Step-by-step explanation
Answer:
149.50
Step-by-step explanation:
i did 29.1+78.8 = 107.90+ 41.5 and that's how i got 41.5
In right triangle ABC, AB=28, AC=18 and m
Answer:
Solution
Given,
In right angle triangle
AB=28
AC=18
BC = ?
By using Pythagoras therom
H square =B square +P square
28 = 18 + P
28-18 = P
10 = P
therefore BC = 10
Solve the following 2 equation.
I will Make Brainliest
Answer:
d. [tex]x = 10[/tex]
e. [tex]x=\sqrt[3]{\dfrac{15}{4}}[/tex]
Step-by-step explanation:
I've typed up my workings in MS Word and attached them (as it's very difficult to type this in the Brainly equation editor).
I've used the product, quotient and power log laws.
Product: [tex]log_a(x)+log_a(y)=log_a(xy)[/tex]
Quotient: [tex]log_a(x)-log_a(y)=log_a(\dfrac{x}{y})[/tex]
Power: [tex]p\log_a(x)=log_a(x^p)[/tex]
Juan drove 360 miles in 5 hours.
At the same rate, how long would it take him to drive 504 miles?
Answer:
it would take him to 7 hours drive 504 miles.
Step-by-step explanation:
360 miles → 5 hours
1 miles → (5/360) hours
504 miles → [(5/360)*504] hours
504 miles → 7 hours
Answer:
7 hoursStep-by-step explanation:
This is a proportional relationship.
Use ratios:
360/5 = 504/x504/x = 72x = 504/72x = 71. Is (3, -1) a solution to the system?
Answer:
No
Step-by-step explanation:
To find point (3, -1), begin at the origin. Move 3 units to the right, then 1 unit down.
Neither of the lines go through the point (3, -1)
Answer:
No
Step-by-step explanation:
No, (3, -1) is not a solution to the system. Because, lines are not intersecting at this point.
Actually, both the lines are going parallel to each other. Hence, there will be no solution.
f(x)=x²-1, g(x)=2x+1 ??
1. FoG
2.GoF
Answer:
1) 4x² + 4x
2) 2x² - 1
Explanation:
in these type of questions, we go right to left serially in function
given:
f(x)=x²-1g(x)=2x+11)
fg(x)
f(2x+1)
(2x+1)²-1
4x² + 4x + 1 -1
4x² + 4x
2)
gf(x)
g(x²-1)
2(x²-1) + 1
2x² - 2 + 1
2x² - 1