Step-by-step explanation:
Isosceles means that two sides are equal.
if the base is 1½s the other two sides will be ½s and½s
thus perimeter=1½+½+½ =2½s
smaller triangle:
perimeter=½(1½s+½s+½s)
=½(2½s)
=1¼s convert to decimal
=1.75s
The simplified expression of the given situation is 1.75s.
The correct option is C.
What is an isosceles triangle?A triangle that has two equal lengths of sides and two equal measures of angles is called an isosceles triangle.
Given:
The base of an isosceles triangle is one and a half times the length of the other two sides.
Let s represents the side of the triangle.
The base = ([tex]1\frac{1}{2}[/tex])s = 3s/2
So, the other two sides are s and s.
So, the perimeter,
= 3s/2 + s/+ s
= 7s/2
A smaller triangle has a perimeter that is half the perimeter of the first.
That means,
the perimeter of the smaller triangle,
= 1/2(7s/2)
= 7s/4
= (1.75)s
Therefore, (1.75)s is the required expression.
To learn more about the isosceles triangle;
https://brainly.com/question/2456591.
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Simplify (x-5)+(X+1)
Answer:
2x - 4
Step-by-step explanation:
x - 5 + x + 1
→Add like terms (x and x, -5 and 1):
2x - 4
Ryan went to the store to buy some walnuts. The price per pound of the walnuts is $4.50 per pound and he has a coupon for $2.75 off the final amount. With the coupon, how much would Ryan have to pay to buy 5 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.
Answer:
19.75.
Expression: 4.50pp - 2.75
(pp is the variable, pretend)
Which of the following is not a case of direct variation?a Number of sheets of some kind and increased when their total weight its inceased. b More quantity of petrol is required to travel more distance with a fixed speed. c More fees would be collected if number of students increased in a class. d Time taken will be less if number of workors are increased to complete the same work.
Answer:
Step-by-step explanation:
If two variables, x and y have a direct variation, it means that an increase in x would lead to a corresponding increase in y. A decrease on x would lead to a corresponding decrease in y.
Therefore, we would compare the scenarios to determine which is not a direct variation. The correct option is
d) Time taken will be less if number of workers are increased to complete the same work.
The rest are direct variation scenarios
PLEEEASE HELP!!! EXPLAIN ALL PARTS!!!
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
Answer:
see below
Step-by-step explanation:
A: Some points could be (1, 7.5), (2, 7), (3, 6.5), (4, 6), (5, 5.5) and (6, 5) because the y-coordinates all represent the heights of the candle after the x hours.
B: This is a function because no input has multiple outputs.
C: It would still be a function because no input would have multiple outputs.
Answer:
Have a great day!!
Step-by-step explanation:
Part A: my rate of change was first y= - 5x + 8 the reason i put a negative sign beforehand is that when the candle melts its height it's decreasing
(0,8),(1,7.5)(2,7)(3,6.5)(4,6)(5, 5.5)
Part B: This is a function because there is one different output for each different input
Part C: yes, it still would be a function because the numbers haven't changed and are exactly the same and it still has one input for each output.
(0,8), (1,75), (2,7), (3,6.5), (4,6), (5,5.5)
The perimeter of a pentagon is 20t + 7.
Four sides have the following lengths:
6t, 2t, 4t – 5, and 5t + 1.
Answer:
3t+11
Step-by-step explanation:
A pentagon has 5 sides
Perimeter is the total measurement around an object=20t+7
we have not been given the 5th side measurement so lets make it x
6t +2t+4t-5+5t+1+x=20t+7
put the liketerm together i e
6t+2t+4t+5t-20t+x=7+5-1
17t-20t+x=11
-3t+x=11
x=11+3t.
So the measurements of the fifth side is 11+3t same as 3t+11
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.583
Answer:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]
And if we use the t- table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Step-by-step explanation:
For this case we know that the degrees of freedom are given:
[tex] df = n-1= 16[/tex]
And we want to find the following probability:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]
And if we use the t-table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Which of the following is not true if the polygon is a square?
O A. slopers. slopesc = -1, slope slopesc = -1, sloped slope = -1,
and slope AB
• Slopezd = -1
B. The slopes of the adjacent line segments are equal.
O C. AB = BC = CD = AD
O D. slopezp=slopego
Answer:
the slopes of the adjacent line segments are equal......
Step-by-step explanation:
hope it's helpful
Please answer (-3+4)2 and another one is -5(4-2) I need answers to both pleaseee
Answer:
Step-by-step explanation:
Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.
1.)3 x 2 + 3 x 8 = 24
Now that you got the steps down, ima do the rest in my head
2.) 2
3.) -10
4.) -50
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = ab + ac
a(b - c) = ab - ac
1) 3(2 + 8) = 3*2 + 3*8
= 6 + 24
= 30
2) (-3 + 4)2 = -3*2 + 4*2
= -6 + 8
= 2
3) -5(4 - 2) = -5*4 - (-5)*2
= - 20 + 10
= -10
4)(12 +13)(-2) = 12*(-2) + 13 *(-2)
= -24 - 26
= -50
who can solve ? 9y < -3
Answer:
y< -1/3
Step-by-step explanation:
To solve the inequality, we must get the variable, y, by itself.
9y< -3
Perform the opposite of what is being done to the equation, to both sides.
y is being multiplied by 9. The opposite of multiplication is division. Therefore, divide both sides by 9.
9y/9 < -3/9
y< -3/9
-3/9 can be reduced. 3 can be divided evenly into both the numerator (top number) and denominator (bottom number).
y< (-3/3) / (9/3)
y< -1/3
factorise f²-f-20 step by step
Answer:
(f+4)(f−5)
Step-by-step explanation:
The middle number is -1 and the last number is -20.
Factoring means we want something like
(f+_)(f+_)
We need two numbers that...
Add together to get -1
Multiply together to get -20
4+-5 = -1
4*-5 = -20
Fill in the blanks in
(f+_)(f+_)
with 4 and -5 to get...
(f+4)(f-5)
_______________________________
Hey!!
Solution,
f^2-f-20
= f^2-(5-4)f-20
= f^2-5f+4f-20
= f(f-5)+4(f-5)
=(f-5)(f+4)
So the answer is (f-5)(f+4)
Hope it helps..
Good luck on your assignment
_____________________________
Find the third side in simplest radical form
Answer:
[tex] 2 \sqrt{71} \: units[/tex]
Step-by-step explanation:
Given is a right angled triangle in which third side is the hypotenuse.
Therefore, by Pythagoras theorem:
[tex]thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units[/tex]
What are some words that relate to geometry but are difficult to precisely define
Answer:
the point the line the planeStep-by-step explanation:
:D
Someone please help ASAP
Answer:
5050
Step-by-step explanation:
To solve via calculator, go to the MATH menu, then the 0th option should say "summation" and insert it from there.
To solve algebraically, break the summation into 2 parts. Excuse the strange formatting, I can't find a way to do it normally.
4([tex]\frac{50}{1}[/tex]∑n) -
= 4( [tex]\frac{50(50+1)}{2}[/tex]) - 50(1)
= 5100 - 50
= 5050
PLEASE HELP!! Rick uses this exponential expression to determine what the value of his bank account will be in three years. Select the value in the expression that represents the number of times per year that interest is compounded on the account.
5,000(1+0.04/12)^12t
Answer:
12
Step-by-step explanation:
A compound interest equation is represented as A = P(1 + r/n)^nt, where n=the number of times per year the interest is compounded. In the given equation, n=12.
Answer:
12
Step-by-step explanation:
someone help me find BC
Answer:
BC can be found after A and before D lol jkjk the answers 2.3
Step-by-step explanation:
sin(50°) = d / 3
sin(50°) = 0.766
0.766 = d / 3
Start with:
0.766 = d / 3
Swap sides:
d / 3 = 0.766
Multiply both sides by 3:
d = 0.766 x 3
Calculate:
d = 2.298
So BC = 2.298
Round to 2.3
Answer:
Answer:to find BC. u use sine because it is opposite divided by hypotenuse.
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3=2.298=2.30 to the nearest hundredth
what is the solution to the equation x-16=-8
Answer:
x = 8
Step-by-step explanation:
8 minus 16 equals to a negative answer, resulting to -8.
Answer:
x = 8
Step-by-step explanation:
Add 16 to both sides of the equation.
x = −8 + 16
Add − 8 and 16
x = 8
Rohan and Ronit went to the sea shore during their vacations they stood at a point and decided it to be the starting point. For every step Ronit moved forward Rohan took three steps backward . If the distance covered between the starting point and Ronit is +96 then find out Rohan's position and the distance between Ronit and Rohan .
Answer:
-288
Step-by-step explanation:
math
Answer pleaseeee ASAP
Answer:
93 square metres
Step-by-step explanation
The formula for surface area is 2ab+2ac+2bc, and with no lid one bc can be removed.
Suppose a=7 b=3 and c=3
2(7x3)+2(7x3)+(3x3)=93
Ur so worth it...ok now enough about u...help plz
Just 20 and 21...also there’s a little hint it says to draw a triangle.
Answer:
20. 13 cm
21. 12 cm
Step-by-step explanation:
20. isosceles means two sides are the same length, so you take the ten off the perimeter to get 26 remaining cm (36 -10) and you then divide that by two to get both sides of 13 cm (26 / 2)
21. because you know that if you split the triangle down the middle you get a right triangle and you can use a^2+b^2=c^2 to find the height, so we take the one side of 13 cm and half of the third side, which is 5, and you can find your answer (a^2 + 5^2 = 13^2 ---> a^2 + 25 = 169 ---> a^2 = 144 ---> a = 12)
a theatre ticket costs £63 plus a booking fee of 3%.
what is the total price of the ticket?
Answer:
64.89£
Step-by-step explanation:
Given:
Theater ticket costs £63
Booking fee: 3% of original price
Solve for:
Total price of ticket
Solution:
Step 1: Select relevant procedure
The total price including the booking fee, then before working out the total price, the booking fee should be calculated.
Step 2: Perform the calculation
The booking fee of ticket is calculated by:
BF = 3% of £63 or (3/100) x 63 = 1.89
Adding up the ticket price and booking fee to get total price:
Total price = ticket price + booking fee = 63 + 1.89 = 64.89£
Hope this helps!
:)
A candle maker uses a mold to make candles like
the one shown below.
(photo attached)
The height of the candle is 13 cm and the
circumference of the candle at its widest measure is
31.416 cm. Use modeling to approximate how
much wax, to the nearest cubic centimeter, is
needed to make this candle.
Answer: 340 cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Circumference = 2π radius
Replacing with the circumference value and solving for r:
31.416 =2π r
31.416 /2π =r
5cm =r
And then:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
V = 1/3 π (5)^2 (13) = 340 cm3
Feel free to ask for more if needed or if you did not understand something.
There are 15 students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out
the following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board?
The number of ways can the teacher assign out is 75.
Given that,
There are 15 students in a kindergarten class.The following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board.Based on the above information, the calculation is as follows:
[tex]= 15\times 5[/tex]
= 75
Therefore we can conclude that The number of ways can the teacher assign out is 75.
Learn more: brainly.com/question/17429689
The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?
Answer:
Step-by-step explanation:
If you want to know what you have to multiply by 5 to get a product of 70, you would divide 70 by 5 to get that other number. Because 70 divided by 5 is 14, you know that the other number is 14. It's the same when you have one factor of a polynomial and want to know the other. You divide your polynomial by the one factor to get to the other factor, because when you multiply them together, you get back the polynomial you started with. Like when we found that 70 / 5 = 14, we know that when we multiply 14 by 5 we'll get the 70 we started with.
Long division of polynomials will be difficult to illustrate within this forum, but I'll do my best. What we want to do is divide [tex]6x^2+x-15[/tex] by 2x - 3:
__________
2x - 3 | [tex]6x^2+x-15[/tex]
First divide the 6 x-squared by the 2x (forget about the rest of what's inside the box for now, and also forget about the -3 for now. We'll deal with them later). 2x goes into 6 x-squared 3x times, because 2x * 3x = 6x-squared, right? So the 3x goes above the 6x-squared:
3x_______
2x - 3 | [tex]6x^2+x-15[/tex]
Now we multiply the 3x by the 2x and put that product under the 6x-squared. The product is 6x-squared (which will always be the case in division that they will subtract each other away. That's why we do this!)Then multiply the 3x by the -3 which is -9 and put that under the "+x" term:
3x________
2x - 3 | [tex]6x^2+x-15[/tex]
6x^2-9x
At this point we change the signs and have
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 +9x
And then we add and bring down the -15:
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now do the division process again, this time dividing 10x by 2x (again the -3 will wait). 10x divided by 2x is 5 (because 2x * 5 = 10x, right?). The 5 goes above the +x on top:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now we wwill multiply the 5 by both the 2x and the -3 and subtract:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
- 10x + 15
Notice that when we subtracted, the 10x changed from + to -, and the -15 changed to a positive. The remainder is 0.
That tells us that the other factor of the polynomial is 3x + 5. You could also have done synthetic division, but it would be more difficult than this to illustrate because you would be dividing by 3/2. :/
Simplify the expression by combining like terms.
22+5m-4m+7n8
Answer:
Second Option, m+7n+30
Step-by-step explanation:
First I'd combine the m terms
22+5m-4m+7n-8
5m-4m
=1m
22+1m+7n+8
Now the numbers with no variable
22+1m+7n+8
22 + 8
=30
m+7n+30 is our final answer
Answer:
7n +m +14
Step-by-step explanation:
22 +5m -4m +7n -8
=7n +5m -4m +22 -8
=7n +m +14
If someone could do this it’s be greatly appreciated!
Answer:
a). A = -2x² + 200x
b). Widths = 40 feet and 60 feet
Step-by-step explanation:
It is given that length of the fencing material = 200 feet
a). Peg wants to cover the vegetable garden from three sides with the given fencing material.
If length of the garden = l
and width of the garden = x
l + x + x = 200
l + 2x = 200
l = (200 - 2x) feet
Therefore, area of the garden = Length × width
A = [tex](200-2x)\times x[/tex]
A = -2x² + 200x
b). Foe A = 4800 square feet,
4800 = -2x² + 200x
2x² - 200x + 4800 = 0
x² - 100x + 2400 = 0
x² - 60x - 40x + 2400 = 0
x(x - 60) - 40(x - 60) = 0
(x - 60)(x - 40) = 0
x = 40, 60 feet
Therefore, widths of Peg's garden will be 40 feet and 60 feet.
Carlos is five years older than twice his sister's age. Carlos is 13.
Which equation and solution correctly identifies his sister's age?
A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer
Answer:
a. ) 4
Step-by-step explanation:
13-5= 8
8/2=4
Answer:
A.) 2 x + 5 = 13; x = 4
Step-by-step explanation:
(4x2 + 7x)(5x2 – 3x)
A. 2034 + 35x3 - 21x2
O B. 202A + 23x3 - 21x2
C. 20x4 + 23x2 - 21%
O D. 20A + 35x2 – 21x
Answer:
work is shown and pictured
The equation x2 - 7x=0 when solved is:
Answer:
x =0 x=7
Step-by-step explanation:
x^2 - 7x=0
Factor out an x
x(x-7) =0
Using the zero product property
x =0 x-7 =0
x =0 x=7
A student takes his 2 dogs for a walk. He lets them off their leash in a field where Edison runs at 10 m/s and Einstein runs at 8 m/s. The student determines the angle between the dogs is 25°, how far are the dogs from each other in 5 seconds?
Answer:
The dogs are 21. 8 m from each other in 5 seconds
Step-by-step explanation:
Given;
speed of Edison, v = 10 m/s
speed of Einstein, u = 8 m/s
angle between the two dogs, θ = 25°
let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m
let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m
let the distance between the two dogs after 5 seconds = z
x , y and z forms a triangle with an angle between x and y as θ
The third side, z, can be calculated using cosine rule
z² = x² + y² - 2xyCosθ
z² = 50² + 40² - (2 x 50 x 40)Cos25
z² = 4100 - 4000Cos25
z² = 474.7689
z = √474.7689
z = 21.789 m ≅ 21. 8 m
Therefore, the dogs are 21. 8 m from each other in 5 seconds
1
Manny tosses a dime 500 times, and it lands on heads 325 times.
What is the theoretical Probability the the dime lands on tails?
(10 Points)
2/3
250/500
o 1/2
13/20
Answer:
7/20
Step-by-step explanation:
He tosses the dime 500 times and it lands on heads 325 times.
There are only two possibilities in a coin toss: Head or tails
This means that it lands on tails:
500 - 325 = 175
The theoretical probability of the dime landing on tails is:
175 / 500 = 7/20
