Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
How to calculate perimeter of a triangular figure?Perimeter of a triangle = Sum of lengths of all its 3 sides.
For the given case, we have:
Length of first side(hypotenuse) = [tex]8x^2[/tex] units
Height = [tex]4x^2 + 15[/tex] units
Base is of length [tex]8x + 10[/tex]
Thus, its perimeter is calculated as:
Perimeter of a triangle = Sum of lengths of all its 3 sides.
Perimeter = [tex]8x^2 + 4x^2 + 15 + 8x + 10 = (8+4)x^2 + 8x + 25 = 12x^2 + 8x + 25[/tex] units
Perimeter = [tex]12x^2 + 8x + 25[/tex] units
Thus,
The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
Learn more about perimeter here:
https://brainly.com/question/10466285
Answer:
12x2 + 8x + 25
Step-by-step explanation:
i said so
Which expression is equivalent to the following complex fraction?
Answer:
The answer is 2y -1 over 3y+1 ( last multiple choice)
Step-by-step explanation:
- move the y's beside the 3 and 2 to get rid of the 1/y fraction
In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?
Answer:
∠ ADC = 110°
Step-by-step explanation:
∠ CDE = 90° ( angle between perpendicular lines ) , then
∠ CDB + ∠ BDE = 90°
∠ CDB + 20° = 90° ( subtract 20° from both sides )
∠ CDB = 70°
∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so
∠ ADC + ∠ CDB = 180° , that is
∠ ADC + 70° = 180° ( subtract 70° from both sides )
∠ ADC = 110°
What is the answer to -x/4<7
Answer:
[tex]x>-28[/tex]
Step-by-step explanation:
Given the following question:
[tex]-x\div4<7[/tex]
In order to find the answer, we have to isolate the variable by multiplying four on both sides.
[tex]\frac{-x}{4} <7[/tex]
[tex]\frac{-x}{4} =x\times4[/tex]
[tex]7\times4=28[/tex]
[tex]-x>28[/tex]
[tex]-x\times-1=x[/tex]
[tex]28\times-1=-28[/tex]
[tex]x>-28[/tex]
Hope this helps.
Answer:
x>-28
Step-by-step explanation:
First to cancel out the fraction times the whole fraction by the denominator 4 AND the 7 then multiply 7*4=28
This leaves you with
-x<28
To get rid of the -x divide both sides of the inequality by -x, This also changes the sign of the inequality to > Because you are Dividing both sides of the inequality
Negative/Negative =positive
Positive/Negative =Negative
So, You get
x>-28
8 and 9 plus explanation pls
Answer:
42
Step-by-step explanation:
please help! i don’t know how to find trig ratios
Answer:
a. 7/25
b. 24/25
c. 24/25
d. 7/25
e. 7/24
f. 24/7
Step-by-step explanation:
sin is opposite/hypotenuse.
cos is adjacent/hypotenuse.
tan is opposite/adjacent.
Plug in the formulas to get find the ratios.
HELPPPP THIS IS SO HARD
Answer:
T'''(2, 6)
Step-by-step explanation:
The transformations used in this problem are ...
(x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin
(x, y) ⇒ (x +h, y +k) . . . . translation h right and k up
(x, y) ⇒ (y, x) . . . . . . reflection over the line y=x
__
Applying these transformations to point T(-5, -4), we have ...
1. T(-5, -4) ⇒ T'(5, 4)
2. (h, k) = (1, -2), so we get ...
T'(5, 4) ⇒ T"(5 +1, 4 -2) = T"(6, 2)
3. T"(6, 2) ⇒ T'''(2, 6) . . . . straightforward application of the separate transformations
Determine which of the lines, if any, are parallel or perpendicular. Explain.
Line a: -x+2y=3
Line b: -6x=3y-1
Line c: 4x-8y=5
Answer:
See below
Step-by-step explanation:
Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
Line a: -x+2y=3
2y = x + 3
y = (1/2)x + 3
Line b: -6x=3y-1
-3y = 6x - 1
y = -2x + (1/3)
Line c: 4x-8y=5
-8y = -4x + 5
y = (1/2)x - (5/8)
Parallel lines have the same slope (m). Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.
Slopes, m, for the lines are;
a) (1/2)b) -2c) (1/2)The negative inverse of (1/2) is -2.
Lines a and c are parallel (same slope)
Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2
How do I do this? Please help!
I already answered this question, if you look back in your questions you should find this answered along with another one. I'll do it again just in case you don't find it.
Answer:
{y,x} = {-4,-2}
Expanation:
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 2x
// Plug this in for variable y in equation [2]
[2] -2•(2x) - 8x = 24
[2] - 12x = 24
// Solve equation [2] for the variable x
[2] 12x = - 24
[2] x = - 2
// By now we know this much :
y = 2x
x = -2
// Use the x value to solve for y
y = 2(-2) = -4
8x3+26x2+19x+3 is divided by 4x+3
Answer:
Remainder=35.25
Quotient = 2x²+8x+10.7
9. Which set of ratios below is NOT equivalent
to 3:4?
the
bu
A. 6 to 9,
q
12
B.) 9 to 12, 20
15
Answer:
A
Step-by-step explanation: {reduction}
{[tex]\frac{2X3}{3X3}=\frac{2}{3}[/tex]} {[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}
A. 6 to 9 7'5 [tex]\frac{6}{9}=\frac{2}{3} , \frac{9}{12}=\frac{3}{4}[/tex]
{[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}
B. 9 to 12 7'5 [tex]\frac{9}{12}=\frac{3}{4} , \frac{15}{20}=\frac{3X5}{4X5}=\frac{3}{4}[/tex]
C. [tex]\frac{15}{20}=\frac{3}{4} ,[/tex] 24 = 32 = 3 × 8: 4 ×8 = 3 = 4
D. [tex]\frac{30}{40}=\frac{3X10}{4X10}=\frac{3}{4} , 18:24=3X6=4X6=3:4[/tex]
choose A
Neveah bought a cupcake for $5 and coffees for 5 coworkers. She spent $35. How much was each coffee?
Answer:
Each coffee is $6
Step-by-step explanation:
So she bought a cupcake so 35-5=30
Divide 30 by 5 and you get 6.
.i need help w this pls!!
For simplifying this fraction, let first consider it as
[tex]{:\implies \quad \sf \dfrac{x}{y}-1}[/tex]
If we take LCM, and simplify it further, we will be having ;
[tex]{:\implies \quad \sf \dfrac{x\cdot 1-1\cdot y}{y}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\dfrac{x-y}{y}}}}[/tex]
This is the required answer
You go to a restaurant and have $45 to spend. You get a drink for $3.00 and an appetizer for
$11. How much can you spend on the rest of your meal and still be able to a 20% tip and 7%
tax? Show the equation you set up and the steps how you find the amount you can spend.
Answer:
if the tip is 20% and 7%, it means that the meal MUST cost less than 32.85.
the reason behind this is that if we have $45 to spend it means that each 1% is 0.45 and 0.45x27=12.15 meaning that if we subtract this from $45 we get 32.85.
Now we have already spent $14 on our drink and appetizer so 32.85-14=18.85 we can only spend 18.85 on our meal
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and cows he saw. Let
X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?
Answers:
Total equation: x+y = 80Legs equation: 2x+4y = 248How many ducks? 36How many cows? 44====================================================
Further explanation:
x = number of ducksy = number of cowsx+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
2x = number of legs from all the ducks only4y = number of legs from all the cows only2x+4y = total number of legs from both types of animals combinedWe're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
------------
Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
------------
Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
helpp pleacee??!!!!!
Answer:
9
Step-by-step explanation:
I need to write 20 characters
HELP MY GRADE 9 PLS AND THANK YOU
Answer:
64x²y²
Step-by-step explanation:
Use the great smart calculator
hope it helpz uuuuuuu
Rita had only $5.00 in her piggy bank, and she decided to start saving more. She saves $5.00 every 6 days. After how many days will she have $30.00 in the piggy bank
Answer:
30 days
Step-by-step explanation:
she starts with $5, so she needs $25 more to have $30.
if she saves $5 ever six days, she needs to do this five times to reach $30.
6*5=30
good luck :)
In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point baskets to three-point tries for one team was 3 : 4. If the team scored 27 points from three-point baskets, how many three-point tries did the team have?
Answer:
Writing the information in the form of ratio
Three point basket = Three point tries
3 : 4
27 : x
Think about multiplication , how many 3s do you need to make 27 ?
Its 27 ÷ 3= 9
Because you need 9 lots of 3, Then to make it proportional , you'd need 9 lots of 4
9×4 = 36
Three points tries is 36
If f(x)= x^2-25 and g(x)=x-5, what is the domain of (f/g)(x)?
Answer:
B) all real values of x except x=5
Step-by-step explanation:
If [tex]f(x)=x^2-25[/tex] and [tex]g(x)=x-5[/tex], then [tex]\bigr(\frac{f}{g}\bigr)(x)=\frac{f(x)}{g(x)}=\frac{x^2-25}{x-5}=\frac{(x-5)(x+5)}{(x-5)}[/tex].
Given that [tex]x-5[/tex] exists in both the numerator and denominator, this creates a hole on the graph of the function where [tex]x=5[/tex] since [tex]5-5=0[/tex]all real values of x except x=5 is correct.
Review the attached graph for more information
A small school employs 5 teachers who make between $40,000,and 70,000 per year.
The newest teacher, Valerie, decides to teach part-time which decreases her salary from 40,000 to 20,000 per year. The rest of the salaries stay the same.
How will decreasing Valerie's salary affect the mean and median?
HELP PLEASE
Answer:
Its B
Step-by-step explanation:
No of teachers in the school = 5
Salaries they make =40000 to 70000
When one of the five teachers reduce salary to 20000/- per year, median may or may not shift one number to the left
Mean will definitely decrease by difference/5 = 4000 dollars
Thus mean will defintely change by reduction of 4000 dollars.
Median has a chance to remain the same or may shift left side one item.
The price of a telephone reduced form Rs 3500 to Rs 3200. What percentage is decreased from its original price?
Given :-
The price of a telephone reduced form Rs 3500 to Rs 3200.To Find :-
Percentage decrease from it's original price .Solution :-
Here the initial cost is Rs 3500 and the new cost is Rs 3200. So the decrease in its price is ,
→ Decrease = Rs 3500 - Rs 3200
→ Decrease = Rs 300
Now we may find the % change in its price by ,
→ Decrease in cost/Initial cost * 100 %
→ Rs 300 /Rs 3500 * 100 %
→ 8.57%
Hence the price is decreased by 8.57% .
I hope this helps.
Answer:
Decreased Percentage is 8.57 %
Step-by-step explanation:
Given:
Cost of cell phone = Rs. 3500
Cost after decreased in price Rs. 3100
To find:
Decreased percentage
Decreased Amount =
3500 - 3100
= Rs. 300
Decreasee Percentage =
[tex]\frac{decreased \: \: amcount}{initial \: \: cost} \times 100 [/tex]
[tex] = \frac{300}{3500} \times 100[/tex]
[tex] = \frac{300}{35} [/tex]
= 8.57%
Tamika swims 2 7/10 kilometers a day,
4 days a week. How far does she swim
each week? Find 4 x2 7/10
A square has a perimeter of 39.6 millimeters. What is the length of each side?
Answer:
9.9 millimeters
Step-by-step explanation:
To find the perimeter of a square,
Equation: 4 • length = P
So in this case, we're just working backwards. To find the length, divide.
39.6/4 = 9.9
Answer:
9.9 mm
Step-by-step explanation:
let [tex]x[/tex] = length of one edge of the square
perimeter of a square = 4[tex]x[/tex]
⇒ 39.6 = 4[tex]x[/tex]
⇒ [tex]x[/tex] = 39.6 ÷ 4 = 9.9 mm
Solve the equation below pls show your work no links pls.
[tex](9^{2} )^{-1/3}[/tex]
Given :-
[tex](9^{2} )^{-1/3}[/tex]To Find :-
To solve the expression .Solution :-
Given expression to us is ,
[tex](9^{2} )^{-1/3}[/tex]
We know that ,
[tex] 9 = 3^2[/tex]
So our expression becomes ,
[tex]\{ (3^2)^2\}^{\frac{-1}{3}}[/tex]
And , [tex] (a^m)^n =a^{mn}[/tex] . Using this ,
[tex] (3^4)^{\frac{-1}{3}}[/tex]
Again using the same law ,
[tex] 3^{\frac{-4}{3}}[/tex]
We know that , [tex] a^{-m}=\frac{1}{a^m}[/tex] . Therefore ,
[tex] (3^{-4})^{\frac{1}{3}}[/tex]
[tex]\\\bigg( \dfrac{1}{3^4}\bigg)^{1/3}[/tex]
[tex]\\ \dfrac{1}{\sqrt[3]{3^4}}[/tex]
Simplify ,
[tex] \dfrac{1}{3\sqrt[3]{3}}[/tex]
This is the simplified expression.
I hope this helps.
This is with tangents I have already figured out one portion of the problem please help
Answer:
-5
Step-by-step explanation:
when x is squared it will always be positive so x can be negative or positive
Answer:
Step-by-step explanation:
Tangents drawn to the circumference of a circle are equal.
x^2 + 8 = 33 Subtract 8 from both sides
x^2+8-8 = 33 - 8 Combine
x^2 = 25 Take the square root of both sides.
√x^2 = √25
x = ± 5
So x = 5.
x can also be - 5. The minus goes away when you calculate x^2
because x is squared, you can get two answers, but be very careful when doing geometry questions that the minus number is used in such a way that only a positive value will be left.
solve for x in this equation 4^5x=(1/32)^1-x
A)-3
B)-1
C)1
D)3
Negative thirteen decreased by 3 times a number
A) 13 - 3x
B) -13 - 3x
C) -13 + 3x
D) 13 + 3x
Answer:
C
Step-by-step explanation:
Let's assume the number is x.
Negative means a minus or subtraction.
Decrease also means a minus or subtraction.
Three times the number which we have assumed to be x will be: 3*x=3x
The answer:
-13 - 3x
Hey would really appreciate the help!
Answer:
a. (2c+1b)-1w
b. monomial
Step-by-step explanation:
The points F(4,
-2), G(9,
-6), H (8, -1), and I (5, 2) form a quadrilateral. Find
the desired slopes and lengths, then fill in the words that BEST identifies the type of
quadrilateral.
(PICTURE BELOW)
slope of GH
and
lenght of FG
what’s the answer and how did you get it? please help
Answer:
1/m^5
Step-by-step explanation:
express with a positive exponent using x^-n = 1/x^n
Answer:
[tex]c)\: \cfrac{1}{m^5}[/tex]
Step-by-step explanation:
[tex]m^{-5}[/tex]
Apply the exponent rule:
[tex]m^{-5}[/tex]
[tex]\cfrac{1}{m^5}[/tex]
Hope it helps! :)