I need a step by step explanation please on this please so I can understand it better
Answers
Answer:
P = 29 units
Step-by-step explanation:
Let h represent the height of the triangle. Then 2h is the length of the base. The area is given by ...
A = 1/2bh
36 = 1/2(2h)(h) = h²
h = √36 = 6
base = 2h = 12
The base of the isosceles triangle is 12 units, and its height is 6 units.
__
The altitude line makes a right angle with the base, dividing it into two right triangles with sides of length 6. The hypotenuse (s) of each of those is given by the Pythagorean theorem as ...
s = √(6² +6²) = 6√2
Then the perimeter of the triangle is ...
P = base +2s = 12 +2(6√2) = 12(1 +√2) ≈ 28.97 ≈ 29
The perimeter of the triangle is about 29 units.
_____
Additional comment
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
For an isosceles right triangle, this means the hypotenuse is √2 times the side length. (This is a useful relationship to remember, as it is used a lot in algebra and geometry problems.) The acute angles in such a triangle are 45°.
AtQ
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(2x)(x)=36[/tex]
[tex]\\ \rm\hookrightarrow x^2=36[/tex]
[tex]\\ \rm\hookrightarrow x=6[/tex]
Base=12Apply Pythagorean theorem
[tex]\\ \rm\hookrightarrow H^2=6^2+6^2=36+36=72\implies H=8.5[/tex]
Perimeter
2(8.5)+12=17+12=29unitsRelated Questions
Using pennies, nickels, and dimes, how many
ways can you make 16 cents?
Answers
Answer:
16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.
Step-by-step explanation:
Answer:
1 dime, 1 nickel, 1 penny
Step-by-step explanation:
1 dime= 10 cents
1 nickel= 5 cents
1 penny= 1 cent
The Hayes family and the Cook family each used their sprinklers last summer. The water output rate for the Hayes family's sprinkler was 30L per hour. The water output rate for the Cook family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1450L. How long was each sprinkler used?
Answers
Answer:
30 hours of use by Washington family
35 hours of use by Choi family
Step-by-step explanation:
Pls I need help quickly!
Mindy owns 20 pairs of shoes and every week she purchases two more pairs. How long will it take for her closet to have 50 pairs of shoes?
Answers
How: she gets 2 pairs of shoes each week and she need 30 more shoes. 30 divided by 2 equals 15.
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
Mindy claims 20 sets of shoes and consistently she buys two additional matches.
The first term is 20 and the common difference between the succession terms is 2. Then the equation is given as,
aₙ = a₁ + nd
aₙ = 20 + 2n
The number of weeks is given as,
50 = 20 + 2n
50 = 20 + 2n
50 = 20 + 2n
Simplify the equation, then we have
2n = 50 - 20
2n = 30
n = 30 / 2
n = 15
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
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What is the value of x in the figure shown below?
Answers
Answer: Haha I don't know the answer---Wait wait--I know the answer, its Do School and study for it and you'll find out :)
Step-by-step explanation: This is how i figured it out.... I STUDIED
Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters?
Answers
Answer:
$1.90
10xx+25yy cents
Step-by-step explanation:
9 dimes (10 cents each) = 90 cents = 0.9 dollars
4 quarters (25 cents each) = 100 cents = 1 dollar
Making $1.90
xx dimes (10 cents each) = 10xx cents
yy quarters (25 cents each) = 25yy cents
Making 10xx+25yy cents in total I believe..
Hope this helps :)
Bianca, Kelly, and Sara are running a race. They
complete the race in 2.35 hours. If the race was
51.7 miles, calculate their average speed.
Helppppppppp
Answers
Answer:
22 miles per hour
Step-by-step explanation:
1. Formula: speed = distance/time
2. s = 51.7 mi ÷ 2.35 hrs
3. s = 22 miles per hour
Which equation represents a line which is parallel to the line y = -7/2x-3
Answers
You do not have the options listed, but I will tell you what the line needs:
[] A parallel line will need the same slope.
- The slope is our m in y = mx + b
[] What will this be for our problem:
- [tex]y=\frac{-7}{2}x-3[/tex]
- Our slope is [tex]\frac{-7}{2}[/tex]
[] So what will the line look like:
- [tex]y=\frac{-7}{2}x +?[/tex]
- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of [tex]\frac{-7}{2}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
what is 12x⁸/3x² in simplest form, where x>0?
Answers
[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]
Answer:
[tex] {4x}^{6} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the result when the number 15 is increased by 20%
Answers
Answer:
75
Step-by-step explanation:
15 divided by .20 = 75
20% is .20 and
15/.20 = 75 therefore your answer should be 75
michelle drove 325 miles in 5 hours. if she traveled at a steady speed, how far did she drive per hour?
Answers
Answer:
65 miles per hour.
Step-by-step explanation:
You can divide 325 by 5 to get how many miles she drove per hour :)
Answer:
65mph
Step-by-step explanation:
Divide 325 by 5 to get your answer.
The formula for speed is speed=Distance/Time
So take the total distance, and divide it by the time
If it takes 5 pounds of peanuts to make 9 jars of peanut butter, exactly how many pounds of peanuts is needed to make 24 jars of peanut butter?
Answers
Step-by-step explanation:
So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as5pounds=9 jars
? =24 jars
Then you cross multiply /work it out as
5×24÷9
And your final answer will be
13 1/3 pounds
California Cafe has a maximum capacity of
45 customers. If there are currently 27
customers in the cafe, how many more
customers can they seat?
Answers
Write a function representing the line that includes the points (2,18) and (5,36).
Answers
Answer:
Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)
y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (2,18) and (5,36).
m=36-18/5-2
=18/3=6
slope of line is 6.
Now we need to find the equation of line passing through (2,18) and (5,36).
We need to find the y intercept.
18=6(2)+c
18=12+c
18-12=c
6=c
So y intercept is 6
The equation of line is y=6x+6
Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
To learn more on slope of line click:
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PLEASE NO LINKS AND NO NEGATIVITY!!!
Answers
Answer:
-2x + 8
Step-by-step explanation:
32x + 8 - 34x
(32 - 34)x + 8
-2x + 8
-2x + 8
Explanation:-=> 32x + 8 - 34x
=> (32 - 34)x + 8
=> -2x + 8
Need help desperately
Answers
Answer:
a) 4cd²
b) 3a²b³
Step-by-step explanation:
a) 8c⁴d⁵/2c³d³
1: you would divide the 8 by 2
2: subtract the exponents on c so it would be 4-3 = 1
3: subtract the exponents on d so it would br 5-3 = 2
4: put it all together so it would be 4c¹d² but you dont need the 1 above c
b) 1: divide 9 by 3
2: subtract exponents on a so it would be 3-1 = 2
3: subtract exponents on b so it would be 5-2 = 3
4: put it all together so it would be 3a²b³
hope this helped!! :)
Answer:
a. 4cd² b. 3a²b³
Step-by-step explanation:
[tex]\frac{8c^4d^5}{2c^3d^3}[/tex]
= [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]
= [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex] Reduce number. Substract exponent largest power
smallest power
= 4cd²
b. [tex]\frac{9a^3b^5}{3ab^2}[/tex]
[tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]
[tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex] Reduce number. Substract exponent largest power
smallest power
= 3a²b³
Which linear inequality is represented by the graph?
6-
-5
y s 2x + 4
oys 2x + 3
O y2+x+3
-3
O yz 2x + 3
Please help!!
Answers
Answer: y ≤ (1/2)x + 3
Step-by-step explanation:
The slope is 1/2 and the y-intercept is 3.
The linear inequality represented by the graph is [tex]y \le \frac 12x + 3[/tex]
From the graph, we have the following highlights:
The inequality has a closed line, and the bottom part is shadedThe slope of the line is 1/2The y-intercept is 3The first highlight implies that the inequality sign to use is ≤
The slope (m) is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{3 -4}{0-2}[/tex]
[tex]m = \frac{-1}{-2}[/tex]
[tex]m = \frac{1}{2}[/tex]
The y-intercept (b) is where the line crosses the y-axis:
b = 3
The linear inequality is represented as:
[tex]y \le mx + b[/tex]
So, we have:
[tex]y \le \frac 12x + 3[/tex]
Hence, the linear inequality is [tex]y \le \frac 12x + 3[/tex]
Read more about linear inequality at:
https://brainly.com/question/371134
what is x?
3x-5=10
please help and thank you
Answers
Answer:
5
Step-by-step explanation:
3x - 5 = 10
3x = 15
x = 5
I hope it helps bye, good luck
Answer:
x=5
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
3x = 10 + 5
Add 10 and 5
3x = 15
Divide each term in 3x = 15 by 3 and simplify.
3x/3 = 15/3
Simplify the left side
Cancel the common factor of 3
x = 15/3
Divide 15 by 3
x = 5
Evaluate the expression shown below and write your answer as a mixed number in simplest form.
Answers
The answer would be -8 1/6.
A donut shop made 50 donuts. They put frosting on 2 of the donuts. What is the ratio of the
number of donuts with frosting to the number of donuts without frosting?
50:48
2:48
50:2
2:4
Submit
Answers
Answer:
50-2
Step-by-step explanation:
there is 50 donuts and 2 that are frosted :)
Step-by-step explanation:
2 have frosting, therefore 50-2 = 48 don't.
so, the ratio is for frosting vs. non-frosting
2 : 48 (which would be also 1 : 24).
What should you do to both sides of the inequality in order to solve x + (-2) > 3?
A) Subtract 3
B) Subtract 2
C) Add 3
D) Add 2
Answers
x+(-2) >3
open the bracket
x-2>3
collect the like terms by taking 2 to the other side
x>3+2
x>6
When looking at a graph, explain how you would know two variables were not proportional.
Answers
Answer:
a straight line that does not go through the origin.
Hey help pls pls pls pls pls
Answers
Answer:
coefficient of xwrite the equation in slope-intercept form35Step-by-step explanation:
The value -105 is the coefficient of x.
The slope is most easily read from the equation when it is in slope-intercept form. In that form, the slope is the coefficient of x. You could say Kim forgot to write the equation in slope-intercept form.
When the equation is written in that form, it becomes ...
165 -105x +3y = 0
165 -105x = -3y . . . . subtract 3y
-55 +35x = y . . . . . . divide by -3
y = 35x -55 . . . . . . in slope-intercept form
The correct slope is 35.
How to expand Expand 7n-3+1-2n
Answers
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
dont want to fail gosh please help
Answers
Answer:
11X + 3 is correct
Step-by-step explanation:
first add the 9x and 2x= 11x
and then -2 + 5 = 3
Thus 11x + 3
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While working for a lawn service company, Austin figures he earns $5 for edging 20 feet of curb. If he edges 50 feet of curb at the same rate, how much will Austin earn?
Power Lawn Edger
x=13 1/2 or 13.50$
x=12 1/2 or $12.50
x=14 3/4 or 14.75
x=12 or 1/4 or $12.25
Answers
Given that the shape is a kite and Angle A=25, Angle C=85, what is Angle
D?
Answers
Answer:
m∠D = 165°
Step-by-step explanation:
∠B and ∠C are congruent, so ∠B = 85°
The angles of the kite all added together have to add up to 360°
85 + 85 + 25 + x = 360
195 + x = 360
x = 165
Answer:
m∠D = 165°
Step-by-step explanation:
∠B and ∠C are congruent, so ∠B = 85°
The angles of the kite all added together have to add up to 360°
85 + 85 + 25 + x = 360
195 + x = 360
x = 165
Solve using elimination 5x+7y=9
2x-3y=-37
Answers
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
Over 27.5 days, a lake's water level changed by an average of −1.37 centimeters each day.
What was the total change in the water level?
Enter your answer as a decimal in the box.
Answers
Answer:
-37.675
Step-by-step explanation:
27.5 X -1.37 = -37.675
Which function has only one x-intercept at (−6, 0)?
f(x) = x(x − 6)
f(x) = (x − 6)(x − 6)
f(x) = (x + 6)(x − 6)
f(x) = (x + 6)(x + 6)
Answers
Answer:
D: f(x) = (x+6)(x+6)
Step-by-step explanation:
The function has a multiplicity of 2, meaning the factor appears twice. So, x=-6 will be the only x-intercept.
Circumference=22 feet: what is the diameter?
Answers
11 ft
since diameter is HALF of circumference
22 divided by 2 = 11
