Answer:
The dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
Step-by-step explanation:
let a side of the equilateral triangle = x
let a side of square = y
3x + 4y = 22
4y = 22 - 3x
[tex]y = \frac{11}{2} -\frac{3x}{4}[/tex]
subjective function, the total area is given by;
[tex]f(x,y) = \frac{x^2\sqrt{3} }{4} +y^2[/tex]
[tex]f(x) = \frac{x^2\sqrt{3} }{4} + (\frac{11}{2} -\frac{3x}{4})^2\\\\f(x) = \frac{x^2\sqrt{3} }{4} +\frac{121}{4} -\frac{33x}{4} +\frac{9x^2}{16} \\\\f(x)' = \frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8} \\\\\frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8}=0\\\\\frac{x\sqrt{3} }{2} + \frac{9x}{8} =\frac{33}{4}\\\\\frac{4x\sqrt{3} +9x}{8} = \frac{33}{4}\\\\4x\sqrt{3} +9x = 66\\\\x(4\sqrt{3} +9) = 66\\\\x(15.928) = 66\\\\x = \frac{66}{15.928}\\\\x = 4.144 \ m[/tex]
solve for y
[tex]y = \frac{11}{2} -\frac{3x}{4}\\\\y = \frac{11}{2} -\frac{3*4.144}{4}\\\\y = 5.5-3.108\\\\y = 2.392 \ m[/tex]
Therefore, the dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
what is 2/5 of 1 7/8
Answer:
0.75
Step-by-step explanation:
I think
Answer:
0.75 or something like that
Step-by-step explanation:
Slope is 0, and (1, 2) is on the line.
Answer:
If the slope is zero, then that means that 2 would be the y intercept, and it would be a straight horizontal line crossing through that point.
Step-by-step explanation:
Help me please thanks :)
Answer:
I think its Distributive Property
Step-by-step explanation:
Hope this helped
This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? y = 3x + 6 y = 6x + 3 y = 3x y = 6x
Answer:
y=6x+3
Step-by-step explanation:
Please help me with this, thank you
1. AD and BC bisects each other at E
1. Given
2. ABE ≈DCE
2. Vertical Angles
3. ABE≈DCE
3. SAS postulate
To estimate a proportion of students with a grade point average of 3.7 and higher in a college, a random sample of 200 students was taken and the number of successes counted to be 35. The 95% confidence interval for a population proportion is:
Answer: [tex](0.1481323,\ 0.2018677)[/tex]
Step-by-step explanation:
The confidence interval for population proportion :
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where n= sample size, [tex]\hat{p}[/tex] = sample proportion , z*= Critical z-value.
Let p = population proportion of successes.
Given: n= 200 , [tex]\hat{p}=\dfrac{35}{200}=0.175[/tex]
Critical z value for 95% confidence = 1.96
The 95% confidence interval for a population proportion is:
[tex]0.175\pm (1.96)\sqrt{\dfrac{(0.175)(1-0.175)}{200}}\\\\=\ 0.175\pm (1.96)\sqrt{0.000721875}\\\\= 0.175\pm (1.96)(0.0268677)\\\\=(0.175-0.0268677,0.175+0.0268677)\\\\= (0.1481323,\ 0.2018677)[/tex]
Required confidence interval: [tex](0.1481323,\ 0.2018677)[/tex]
2 3/4 divided by 4 1/8 in fraction form
Answer:
Step-by-step explanation:
2 3/4 ÷ 4 1/8
23/4×8/41
23×8/4×41
46/41
=1.122
So the answer is 1.122
The solution after divide 2 3/4 by 4 1/8 in fraction form is,
⇒ 2/3
We have to given that,
To divide 2 3/4 by 4 1/8.
Simplify it as,
2 3/4 ÷ 4 1/8
11/4 ÷ 33/8
11/4 x 8/33
(11 x 8) / (4x33)
2/3
Therefore, The solution after divide 2 3/4 by 4 1/8 in fraction form is,
⇒ 2/3
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
what dose 3, 3 in the table indicate??? plzzz helppppp
Step-by-step explanation:
it indicates f(x) and g(x)
Answer:
3,3 is a placment in a graph
Step-by-step explanation:
What is the domain of y = sqrt(x + 7) + 5 ?
Answer:
Step-by-step explanation:
İnside the root cannot be negative so x+7 at least equal to 0 so x is at least-7 so the answer is bigger or equal to -7
Answer:
the actual answer is y>=5 or b
Step-by-step explanation:
edge 2020
34 + 10 + 100 = 12 x 12 Is this correct?
Answer:ig so
Step-by-step explanation:34+10+100=144
12x12=144 same thing
Answer:
yes
Step-by-step explanation:
i guess
Let f(x) = 3x + 2 and g(x) = - 2x + 1 Find f(g(- 2))
is it
a: -7
b: 9
c: 17
d: 0
Answer:
(c). 17
Step-by-step explanation:
f(g(x)) = 3( - 2x + 1 ) + 2 = - 6x + 5
f(g(- 2)) = - 6( - 2 ) + 5 = 17
4x + 5y = -30
slope intercept form
Slope intercept form of the equation 4x + 5y = - 30 is written as,
⇒ y = - 4/5x - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation is,
⇒ 4x + 5y = - 30
Now, We know that;
Slope intercept form of the equation is,
⇒ y = mx + c
Here, The equation is,
⇒ 4x + 5y = - 30
Subtract 4x both side,
⇒ 4x + 5y - 4x = - 30 - 4x
⇒ 5y = - 4x - 30
Divide by 5 both side, we get;
⇒ y = - 4/5x - 6
Hence, The Slope intercept form of the equation is,
⇒ y = - 4/5x - 6
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
Carla rode her bike30 miles in 2 1/2hours.
Answer:
12 m/s
Step-by-step explanation:
Speed= disntance/time
30/2.5= 12m/s
Can someone help me with this
Answer:
1. isosceles 2. Scalene 3. Equilateral 4. Equilateral
Step-by-step explanation:
Pls help ASAP WILL GIVE BRAINEST :/
Step-by-step explanation:
b=1 the person above or below me has the explanation
Convert as indicated.
108 ounces to pounds
Answer:
108 ounces is equal to 6.75 pounds.
Step-by-step explanation:
Answer:
Your answer is: 6.75 pounds
108 ounces equal to about 7 pounds if you round.
Step-by-step explanation:
Hope this helped : )
Savannah buys a $40 gift card to her favorite smoothie shop. Each smoothie costs $4. She wants to have at least $10 left on her card at the end of this month. The inequality below relates x, the number of smoothies she could buy between now and the end of this month with her gift card balance. 40 minus 4 x greater-than-or-equal-to 10 Which best describes the number of smoothies Savannah can buy?
Answer:
3 smothies
Step-by-step explanation:
40-10=30$
30÷4=7and she is left with 2 dollar extras
An electrician needs to buy 12 3/5 yards of electrical wire. Wire is sold on spools that have 3 1/2 yards of wire in each. How many whole spools of wire does the electrician need to buy? Write your answer as a decimal.
Of the last 18 trains to arrive at Kensington Station, 12 were on time. What is the experimental probability that the next train to arrive will be on time?
Answer:
6 were late taht is a step to help you
Step-by-step explanation:
Use the diagram to find the length. PB is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Given BD = 16 and PC = 10, find PB.
PB =
Answer:
6 units
Step-by-step explanation:
BC = BD/2 = 8
PB² + 8² = 10²
PB² = 100 - 64 = 36 ⇒ PB = 6 units
The length of PB = 6 units
Here, PB is the perpendicular bisector of AC and QC is the perpendicular bisector of BD.
AB = BC = CD
Given that BD = 16 and PC = 10
What is Pythagoras theorem?
Pythagoras theorem is well known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square of the hypotenuse.
Here, BD = 16 and AB = BC = CD
⇒ BC = BD/2 = 16/2 = 8
And, PC = 10
Now using Pythagoras theorem:
[tex]PC^{2} =PB^{2} + BC^{2}[/tex]
[tex]10^{2} =PB^{2} + 8^{2}[/tex]
[tex]PB^{2} + 64 = 100\\PB^{2} = 100 - 64\\PB^{2} = 36\\PB = \sqrt{36}\\PB = 6[/tex]
Hence the length of PB = 6 Units
Learn more about the Pythagoras theorem visit:
https://brainly.in/question/2829237
#SPJ2
2n²-6n+5 for n=-3 pls help me
Answer:
41
Step-by-step explanation:
2n²-6n+5
2(-3)²-6(-3)+5
2(9)+18+5
18+18+5
36+5
41
Please help due in 10 min.
Answer:
A: equiangular S: Right
Step-by-step explanation:
3 1
-- + -- =
4 8
Pls answer quickly
Answer:
79
Step-by-step explanation:
A table is made using the following two patterns.
Pattern x: Starting number: 1, Rule: add 1
Pattern y: Starting number: 5, Rule: add 5
Complete the table for the given patterns.
x y
1 5
Answer:
The required table will be
x y
1 5
2 10
3 15
4 20
5 25
Step-by-step explanation:
We are given 2 patterns
Pattern x: Starting number: 1, Rule: add 1
Pattern y: Starting number: 5, Rule: add 5
We need to complete the table for given patterns
x y
1 5
The second number for x according to pattern will be: we will add 1 to the previous number i.e 1+1 =2
The third number for x according to pattern will be: we will add 1 to the previous number i.e 2+1 =3
The second number for y according to pattern will be: we will add 5 to the previous number i.e 5+5 =10
The third number for y according to pattern will be: we will add 5 to the previous number i.e 10+5 =15
So, the required table will be
x y
1 5
2 10
3 15
4 20
5 25
As we are not given how much we need to fill table. I am adding 4 values for x and y.
[tex](a) { - (b)}^{2} [/tex]
Answer:
a - b2
Step-by-step explanation:
STEP 1 :
Trying to factor as a Difference of Squares:
1.1 Factoring: a-b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : a1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Final result :
a - b2
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST! :)
15% of 24% of $3500 is $___?
Answer:
126
Step-by-step explanation:
Answer:
126
Step-by-step explanation:
24% of 3500=840
15% of 840=126
Find the length x of QR
Answer:
4.5
Step-by-step explanation:
If they are symilar their sides are in proportion so write the proportion
[tex]\frac{x}{5} =\frac{2.7}{3}[/tex] you can pick any other 2 sides as long as you take them in the same order
x= 5*2.7/3=4.5
Solve the system of equations.
3y + 10x - 54 = 0
5y - 2x - 34 = 0
2 =
y =
Answer:
y=3 x=8 (8,3)
Step-by-step explanation:
Sam computed a 95% confidence interval for μ from a specific random sample. His confidence interval was 10.1 < μ < 12.2. He claims that the probability that μ is in this interval is 0.95. What is wrong with his claim?
A) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0.95 or 0.05.
B) A probability can not be assigned to the event of μ falling in this interval.
C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.
D) The probability that μ is in this interval is 0.05.
Answer: C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.
Step-by-step explanation: A 95% Confidence interval shows that there is a 95% confidence that the true parameter is between the lower and upper limits.
A CI is not a probability that the true parameter is in between the interval. The true parameter is either in the interval or not.
So, probability of falling between the limits is 0 (no chance of being in this interval) or 1 (100% possibility of being in this interval).
Then, "either μ is in the interval or it is not. therefore, the probability that μ is in this interval is 0 or 1." is correct.
5. €1575 was shared among three people in the ratio 1:2:1/2
Calculate the smallest share.
Answer:
€225
Step-by-step explanation:
Given that:
1575 shared in the ratio 1 : 2 : 1/2
Total sum of ratio = (1 + 2 + 1/2) = 3 1/2
Ratio 1 amount :
(1 / 3.5) * 1575 = 450
Ratio 2 amount :
(2 / 3.5) * 1575 = 900
Ratio 1/2 amount :
(1/2 ÷ 3.5) * 1575 = 225
Smallest share = $225