Answer:
2 different trianglesStep-by-step explanation:
During a mathematics activity, teacher Julieta distributed to each of her students 4 straws measuring 2 cm, 3 cm, 7 cm and 8 cm. In this activity, Julieta's students had to build triangles with these straws, without cutting them. How many different triangles could each of Julieta's students form with these straws?==========================================================
Triangle inequality theorem says that no any side of a triangle can be longer or equal to the sum the other two sidesGiven measures:
2 cm, 3 cm, 7 cm, 8 cmWe see that:
2+3 < 7 and 2+3 < 8Therefore we can't make triangles with the sides of 2 cm, 3 cm and 7 cm or 8 cm
Possible solutions are:
2 cm, 7 cm, 8 cm3 cm, 7 cm, 8 cmSo we can make two different triangles
Change 8 1/2 to an
improper fraction.
Answer:
17/2
Step-by-step explanation:
Answer:
17/2
Step-by-step explanation:
Improper fraction means no whole number. So, we have to change 8 to a fraction with a common denominator as 1/2. So, 8/1 = 16/2, plus the given 1/2, that's 17/2.
There’s a list
5n+14-11n-2
-4(n+8)
10(n-5)
-11-10n+2n+1
Solution 1
Inspecting a 7th-degree polynomial of 'n' by taking its derivatives
From the given conditions,
2n7+n6+2n4+2n3+2n2
=(n+1)7+(n+1)5+(n+1)4+2(n+1)3+(n+1)2+2(n+1)+1.
2n7+n6+2n4+2n3+2n2
=n7+7n6+21n5+35n4+35n3+21n2+7n+1
+n5+5n4+10n3+10n2+5n+1
+n4+4n3+6n2+4n+1
+2(n3+3n2+3n+1)
+(n2+2n+1)+2(n+1)+1.
n7-6n6-22n5-39n4-49n3-42n2-26n-9=0 .....[1].
Let A(n)=n7-6n6-22n5-39n4-49n3-42n2-26n-9.
For n>2, A(n)<n7-6n6-22n5.
Since A(n)=0,
0<n7-6n6-22n5.
0<n5(n-3+√31)(n-3-√31).
Since n>2, n>3+√31, which means n≥9 .....[2].
Now, to differentiate A(n),
A'(n)=7n6-36n5-110n4-156n3-147n2-84n-26.
A''(n)=42n5-180n4-440n3-468n2-294n-84.
A'''(n)=210n4-720n3-1320n2-936n-294.
A(4)(n)=840n3-2160n2-2640n-936.
A(5)(n)
=2520n2-4320n-2640
=2520{(n-6/7)2-262/147}.
If A(5)(n)=0, n=6/7±√(262/147).
Therefore, A(5)(n)>0 for n≥3.
Although n≥9 according to [2], I try inspecting A(n) for n≥10.
When n≥10, A(4)(n) increases monotonously.
A(4)(10)=840000-216000-26400-936>0.
Therefore, A(4)(n)>0 for n≥10.
And when n≥10, A'''(n) increases monotonously.
A'''(10)=2100000-720000-132000-9360-294>0.
Therefore, A'''(n)>0 for n≥10.
And when n≥10, A''(n) increases monotonously.
A''(10)=4200000-1800000-440000-46800-2940-84>0.
Therefore, A''(n)>0 for n≥10.
And when n≥10, A'(n) increases monotonously.
A'(10)
=7000000-3600000-1100000-156000-14700-840-26>0.
Therefore, A'(n)>0 for n≥10.
And when n≥10, A(n) increases monotonously.
A(10)
=107-6000000-2200000-390000-49000-4200-260-9>0.
Therefore, A(n)>0 for n≥10 .....[3].
From [2] and [3], A(n)=0 only when 9≤n<10.
In consequence, n=9.
Answer: 5n+14-11n-2
Step-by-step explanation:
Tiffany Is Filling Her Daughter's Pool With Water From A Hose. She Can Fill The Pool At A Rate Of 1/10 Gallons/Seconds. How Fast Can She Fill Up A 20 Gallon Pool
Answer:
200 seconds
Step-by-step explanation:
Given rate :
Filling rate = 1/10 gallons per second
How fast can a 20 gallon pool be filled ;
Time = size of pool / filling rate
Time = 20 gallons ÷ 1/10 gallon / second
Time = 20 * 10 / 1
Time = 200 seconds
How would I solve this
Solve for “x” ax+3=bx-5
Answer:
x=-8/(a-b)
Step-by-step explanation:
Bring everything with x over to one side and everything else to the other.
ax-bx=-8
Factor out x.
x(a-b)=-8
Divide both sides by a-b
x=-8/(a-b)
Find the slope of the line that passes through (3,6) and (1,3)
Answer:
-1
Step-by-step explanation:
3(-9)
please explain and answer thank u
Answer:
-27
Step-by-step explanation:
ok so we have (-9) in parentheses right? And positive 3 outside of parentheses so we know 9 x 3 = 27 BUT we have a negative in front of 9 so we just put -27.
Hope this helps :D ~P.s- pls could u give brainliest to meh TYSM!
A jar has 32 marbles. Some are blue and the rest are green. There are three times as many green marbles as blue. How many green marbles are in the jar
Answer: 24
Step-by-step explanation:
Number of marbles in jar = 32
Let blue marbles be represented by b.
Since there are three times as many green marbles as blue. This means that green will be = 3 × b = 3b
We then add them together. This will be:
3b + b = 32
4b = 32
b = 32/4
b = 8
There are 8 blue marbles
Since green is 3× blue. Therefore,
Green = 8 × 3 = 24 marbles
Ok but fr help.. Assuming only the lengths of the sides of a triangle are given, how can you determine if the triangle has a right angle?
Answer:
If you take the 2 smallest sides and put it in the pythagreon theorem to get the other side length.
Step-by-step explanation:
So if you have a triangle with side lengths, 3, 4, and 5, you can use the exact equation below.
[tex] {3}^{2} + {4}^{2} = {5}^{2} [/tex]
Because this is true, then the triangle does have a right angle.
What is the value of x in the equation −3(10x − 12) + 15x = 54?
A. 18/7
B. −6/5
C. −22/5
D. −6/25
Write the word sentence as an equation. Then solve.
The difference between a number c and 17 is 3.
Answer:
C=20
Step-by-step explanation:
How many ways can a basketball team of 5 players be chosen from 8 players?
Answer:
don't know sorry byeeeee
P(-,3) , Q(7,-3) and R (4,1) are three points. show that PQ=2QR using distance formula. (please show the steps too :)
Answer:
PQ is 10.
QR is 5.
Hence, PQ=2QR
Step-by-step explanation:
We have the three points P(-1, 3); Q(7, -3); and R(4, 1).
And we want to show that PQ=2QR.
In other words, we want to show that PQ/QR=2.
So, let's find PQ and QR. We will need to use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
To find PQ:
P is (-1, 3) and Q is (7, -3).
So, we will let P(-1, 3) be (x₁, y₁) and Q(7, -3) be (x₂, y₂).
Substitute the values into the distance formula. This yields:
[tex]d=\sqrt{(7-(-1))^2+(-3-3)^2[/tex]
Evaluate:
[tex]d=\sqrt{(8)^2+(-6)^2[/tex]
Evaluate:
[tex]d=\sqrt{64+36}=\sqrt{100}=10[/tex]
So, the distance of PQ is 10.
And to find QR:
Q is (7, -3) and R is (4, 1).
Again, we will let Q(7, -3) be (x₁, y₁) and R(4, 1) be (x₂, y₂).
Substitute appropriately. So:
[tex]d=\sqrt{(4-7)^2+(1-(-3))^2[/tex]
Evaluate:
[tex]d=\sqrt{(-3)^2+(4)^2[/tex]
Evaluate:
[tex]d=\sqrt{9+16}=\sqrt{25}=5[/tex]
So, the distance of QR is 5.
Therefore, it follows that:
[tex]\displaystyle PQ=2QR\Rightarrow \frac{PQ}{QR}=2\Rightarrow\frac{10}{5}\stackrel{\checmark}{=}2[/tex]
And we have shown that PQ=2QR.
what is the mass of an object that weighs 7 kg and 50 N?
Answer:
7kg
Step-by-step explanation:
mass: amount of matter in a substance,
SI Unit: kg
It has nothing to do with N (weight) in this case so take the kg value as the mass
Answer:
0.71 kg
Step-by-step explanation:
a common equation in physics is w = mg
we can rearrange this to m = w/g
g is the acceleration of gravity: 9.81 m/s^2
w is the weight of the given equation of the object: 7 kg
so m = 7 kg ÷ 9.81 m/s^2
this gives us: m = 0.71 kg
An electrician charges $35 per hour, h, plus a $20 fee for driving to your house. Which equation represents to total cost, T, for the electrician to do a job?
Answer:
T= 20 + 35h
Step-by-step explanation:
Giving the following information:
An electrician charges $35 per hour, h, plus a $20 fee for driving to your house.
The $20 fee is a fixed cost. It will remain constant.
The $35 fee acts as a variable cost. It varies with the number of hours required to do the job.
To calculate the total cost (T), we need to use the following formula:
T= 20 + 35h
h= number of hours.
What is the total cost of a $500 computer with a 6% tax rate?
Answer:
$530
Step-by-step explanation:
500*0.06=30
500+30=530
Therefore, the answer is $530
reciprocal of -9 1/9
Answer:
-9/91
Step-by-step explanation:
-9/91
310= -6.2f
I’m just struggling on this question;—;
Answer:
Step-by-step explanation:
sup. so what you're going to do is divide -6.2 on both sides to get f by itself
310/-6.2= -6.2f/-6.2
f=-50
Answer:
-50.
Step-by-step explanation:
310 = -6.2f
To solve for f we divide both sides of the equation by -6.2
310 / -6.2 = -6.2f / -6.2
f = -310/-6.2 = -50.
Given: ΔABC ~ ΔAED and AD=7.5. What is the length of DC?
I think it's 2? I'm not sure though. Sorry.
Answer:
The length of DC is 2.5.
Edward purchased a house for $70,000. Five
years later, he sold it for an 18% profit. What
was his selling price?
Answer:
I think its 82600. If you times 70000 by .18 you get 12600, and add that to 70000
Answer:
82600
Step-by-step explanation:
16и +4 - би = би – 21 – би
Answer:
dufenschmertz evil incorporated...
Step-by-step explanation:
after hours ;)
oh ma goawd he on x gaems mode
Who ever get this correct for me THANK YOU!!!!! Make sure you put them in ALL CAPS LETTERS PLS and You'll never get points from me Frl(for real) because I'm 9th grader and idk how to do this and it confusing to me so BE SPECIFIC!!!!!!!!
Answer:
DHGB
======================
1. D
-4x + 2y = 8 ⇒ -2x + y = 4 ⇒ y = 2x + 4Parallel line has same slope of 2y = 2x - 52. H
Slope is: (2-4)/(3-(-3)) = -2/6 = -1/3Perpendicular line has negative reciprocal slope: -1/3 → 3 y = 3x - 23. G
Slope is: (2 - (-2))/(0 - (-1)) = 4/1 = 4Parallel line has same lope of 4y = 4x - 74. B
3x + y = 1 ⇒ y = -3x + 1Perpendicular line has negative reciprocal slope: -3 → 1/3y = 1/3x + 2sorry to bother but it's mr. Mac purchase the kitchen table that was on sale for 20% off the original price of the table was 700 what would be the total amount he saved?
Step-by-step explanation:
Given parameters:
Amount of discount on goods= 20%
Original price of the good = 700
Unknown:
Total amount he saved = ?
Solution:
The total amount he saved will be the value of the discount charged on the original price.
Amount of discount = Percentage discount x original price of goods
Amount of discount = [tex]\frac{20}{100}[/tex] x 700
Amount of discount = 140
The amount saved is 140
The sum of a number and twelve is twenty five
Answer:
Equation: x + 12 = 25Solved: x = 13Step-by-step explanation:
Let x be the number
Write it out as an algebraic equation: x + 12 = 25Subtract each side by 12, so it now looks like this: x = 13I hope this helps!
Answer:
13
Step-by-step explanation:
12 + 13 = 25
10+10=20
20+3+2=25
plsss help
will mark brainliest
Answer:
it's C had to double-check really quick sorry
Step-by-step explanation:
Which is the best estimate of the distance between the point (-25, 10) and the origin?
O 8 units
w
O 15 units
O 23 units
O 27 units
The best estimate of distance between the point and the origin is 15 units. this is your answer.
The distance between the point (-25, 10) and the origin is 27units
Distance between two pointsThe formula for calculating the distance between two points is expressed as:
D = √x² + y² (since the other coordinate is an origin)
Given the coordinate points (-25, 10) and (0, 0)
Substitute
D = √(-25)² + 10²
D = √625 + 100
D = √725
D = 27unts
Hence the distance between the point (-25, 10) and the origin is 27units
Learn more on distance here: https://brainly.com/question/2854969
#SPJ2
H E L P m e P L E A S EEE
i need help on both question
Answer:
13. Rotation 14. A
Step-by-step explanation:
I hope this was right
Answer:
1. rotation
2. the image and pre-image are always congruent to each other
Step-by-step explanation:
even thought the bottom figure is rotated, it does not change in size. It's literally a copy of the other, just rotated, thus, they are congruent.
Rewrite `-3x+2y=12` in slope intercept form and show your steps. Then identify the slope and y-intercept.
Answer:
Slope-Intercept Form: [tex]y=\frac{3}{2}x+6[/tex]
Slope: [tex]\frac{3}{2}[/tex]
Y-Intercept: [tex](0,6)[/tex]
Step-by-step explanation:
STEP 1: Add 3x to both sides of the equation.
[tex]2y=12+3x[/tex]
STEP 2: Divide each term by 2 and simplify.
[tex]y=\frac{3x}{2} +6[/tex]
STEP 3: Reorder terms.
[tex]y=\frac{3}{2}x+6[/tex]
Answer:
I agree with the person up
Round 21.068 to the nearest tenth.
Answer:
21.068 rounded to the nearest 10th is 21.1
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right . If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
You randomly draw A marble from a bag, record it’s color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the next marble will be blue?
Answer:
since you recorded the first marble then replaced it, you drew 10 blue marbles, so therefore we can predict the next marble you drew, was blue.
Step-by-step explanation:
A group of 5 friends decide to set up a lemonade stand. They sell 48 cups of lemonade for $1.35 each. If they split the amount of money they made evenly, how much does each friend take home?
Answer:
Step-by-step explanation:
There are a couple of ways you could do this. The first and most obvious way is just to find out what the total amount is and divide by 5
48 cups * $1.35 / cup = $64.80 total
Now divide by 5
$64.80 / 5 = 12.96 for each person.
The other way to do it is just to divide 1.35 by 5 = 0.27
Now multiply by 48 to get each person's share.
0.27 * 48 = 12.96
Take your pick. The answer is the same either way.