Answer:
yes
Step-by-step explanation:
i used the pythagorean theorem and used 50 and 35 as the legs and the diagonal as the hypotenuse
35² + 50² = c²
c² = 3725
c = [tex]\sqrt{3725}[/tex], which is 61.03
since 61.03 is less than 62" then it should fit in
No, Given Mirror will be not fit in the wall.
Here, we use Pythagoras theorem
Base is 50 inch , Height is 35 inch
Now we have to find hypotenuse
[tex]h^{2} =(50)^{2}+(35)^{2} \\\\h^{2}=2500+1225=3725\\\\h=\sqrt{3725}=61.03[/tex]
Since, Diagonal length of wall is 61.03 inch which is less than mirror diagonal length.
Therefore, mirror is not fit in the wall.
Learn more:
https://brainly.com/question/13391411
Write the equation of the line of reflection in the following picture
Answer:
it is reflected in the x-axis so y=0
4 In February, Alec had 1,581 visitors to his website. In March, he had 1,321 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? if necessary, round to the nearest tenth of a percent
Answer:
It is 16.4 %
Step-by-step explanation:
Subtract 1581 and 1321 to get how much it decreased.
It decreased by 260 so find what percent of 1581 is 260.
260/1581 = 0.164 which is 16.4 %
Chancellor Manufacturing makes two pumps for use in household reef aquariums. The Standard pump (Model A) requires 4.5 lbs of stainless steel while the Deluxe lightweight pump (Model B) 3.0 lbs of stainless steel. There are 63 lbs of stainless steel available during this production period. The combined production of both pumps must be at least 12 pumps. There are orders for at least 6 of the lightweight Model B. Lastly, management has decided that no more than 15 Model B pumps be produced.
Required:
a. Write the LP formulation which provides the optimal production schedule for the standard and deluxe pumps such that the cost is minimized.
b. Write the above LP formulation in Standard Form.
c. Using your grid page, graph the above LP formulation. Be sure to label axes, constraints, and the feasible region.
Answer:
The answer is below
Step-by-step explanation:
Chancellor Manufacturing makes two pumps for use in household reef aquariums. The Standard pump (Model A) requires 4.5 lbs of stainless steel while the Deluxe lightweight pump (Model B) 3.0 lbs of stainless steel. There are 63 lbs of stainless steel available during this production period. The combined production of both pumps must be at least 12 pumps. There are orders for at least 6 of the lightweight Model B. Lastly, management has decided that no more than 15 Model B pumps be produced.
The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210.
Solution:
a) Let x represent model pump A and let y represent model pump B.
Since There are 63 lbs of stainless steel available, hence:
4.5x + 3y ≤ 63
Both pumps must be at least 12 pumps. Therefore:
x + y ≤ 12
There are orders for at least 6 of the lightweight Model B:
y ≥ 6
Also, no more than 15 Model B pumps be produced:
y ≤ 15
The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210. The cost equation is:
Minimize Cost = 150x + 210y
b)
Hence the LP formation is:
Minimize Cost = 150x + 210y
4.5x + 3y ≤ 63
x + y ≤ 12
y ≥ 6
y ≤ 15
x ≥ 0.
c) The LP problem was solved using geogebra online graphing tool.
The points that satisfy the problem are:
(0, 6), (0,12), (6, 6)
At (0,6); cost = 150(0) + 210(6) = 1260
At (0,6); cost = 150(0) + 210(12) = 2520
At (6,6); cost = 150(6) + 210(6) = 2160
Hence the minimum cost is at (0, 6)
(please answer thank you!)
The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.
Answer:
The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Step-by-step explanation:
Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:
X + X + 1.15 + X + 1.15 = 8.60
3X + 2.30 = 8.60
3X = 8.60 - 2.30
X = 6.30 / 3
X = 2.10
Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Which graph is the answer
Answer:
Dis the answer
Step-by-step explanation:
5 + 8x < 6x + 12
8x - 6x < 12 - 5
2x < 7
x < 3.5
mark me as brainlistWhat percentage of 10000 is 1847?
the answer is,
541.42%
I think this is the answer.
A person just purchased the vending machine shown. Each compartment has the dimensions of 5 inches by 7 inches by 17 inches. What is the volume of the compartment?
Answer: 595
Step-by-step explanation:
2x²+2 (2x) +5=0
solve indices
Step-by-step explanation:
2x²+4x+5=0
.....
solve it by using the factorisation method or completing the square method
don't mind the hand writing
am I correct btw
A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?
Answer:
Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].
Step-by-step explanation:
When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].
However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.
Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.
[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].
Integrate with respect to [tex]x[/tex]:
[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].
In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].
Find the y-intercept for the parabola defined by
this equation:
y=x^2 + 8x + 12
Separate the values with a comma.
Express 13/3 as mixed fraction
Answer:
4*1/3
Step-by-step explanation:
easy we know for each 3/3 == 1
so:
3*4 == 12
1/3 is left over so,
4*1/3
Answer:
the answer is 4 1/3, i recommend using the app mathaway
Solve the formula A=2πrh+2πr2 for h.
Answer:
h = (A - 2πr²)/(2πr)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
A = 2πrh + 2πr²
Step 2: Solve for h
[Subtraction Property of Equality] Subtract 2πr² on both sides: A - 2πr² = 2πrh[Division Property of Equality] Divide 2πr on both sides: (A - 2πr²)/(2πr) = hRewrite/Rearrange: h = (A - 2πr²)/(2πr)Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto
Answer:
1 7/12Step-by-step explanation:
I think that you want to know how many total pounds of beans do you have.
Well, to find this, simply find the LCM of 6 and 4. That is 12.
So convert the fractions to have a denominator of 12.
10/12, 9/12
Now add:
(10+9)/12 = 19/12 = 1 7/12
Travis's income is $7200a month, and he plans to budget 1/2 of his income for rent and 1/6 of his income for electricity.What fraction of his income does he plan to spend each month on these two items together? Express your answer in lowest terms.
Answer:
Travis plans on spending 2/3 of his income which is $4800
Step-by-step explanation:
1/2 = 3/6 and 3/6 + 1/6 = 4/6 and 4/6 = 2/3
Answer:
2/3
Step-by-step explanation:
7200 / 2 = 3600 rent
7200/ 1/6 = 1200 electricity
3600 +1200 = 4800
4800/7200 = the same as simplified 48/72
We know our 12x table = 4/6
We can simplify 4/6 as 2/3
In a bag, there are ten identical balls, numbered 1 to 10. You let two persons, each pick one ball from the bag. Suppose the person who gets ball of 10 can get some reward, so each one prefers to get ball of 10. As we easily know, the probability of getting ball 10 for first person is 1/10. What is the probability of getting ball 10 for second person
Which of the following statements are not true about parallelograms?
Select all that apply.
1. The area of a parallelogram is half of the product of its length and width.
2. The angles formed by the diagonals of a parallelogram are complementary to each
other.
3. The diagonals of a parallelogram bisect each other.
4. A diagonal divides a parallelogram into two congruent triangles.
5. Two consecutive angles of a parallelogram are supplementary.
9514 1404 393
Answer:
1, 2
Step-by-step explanation:
1. The area of a parallelogram is the product of length and width. The given statement is FALSE.
2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.
3. TRUE
4. TRUE
5. TRUE
__
Statements 1 and 2 are not true.
Fred went to an arcade to play video games. He paid $2 for every 11 tokens he bought. He spent a total of $16 on tokens. Which equation can be used to determine t, the number of tokens Fred bought?
Answer:
D
Step-by-step explanation:
Since there are two types of values here: tokens and dollars, we will need to use the same value across numerators and denominators in the ratio.
Choice D has 11 tokens over $2 equals to t tokens over $16. In both fractions the numerator is tokens and denominator is dollars.
Find mZBAC
A
20°
B
11
11
Answer:
numbers dont do into math please move this to englash
Step-by-step explanation:
it posted worng
Solve for y. Thank you.
Answer:
[tex]y = \sqrt{ \frac{wz}{x} } [/tex]
hence c. Patrick Mahomes is right.
What is the answer for this?
Hey Can someone help me please
4.5=2c I need help plz
Answer:
[tex]c=2.25[/tex]
Step-by-step explanation:
[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]
If the measures of two angles of a triangle are 96 and 17°, what is the measure of the third angle
92 divided by the sum of 49 and 36?
Answer:
92/85
Step-by-step explanation:
Pleaaaaaase help this is due today
What does the statement “ The shortest distance between two points is the straight line between them” have to do with the Triangle Inequality Conjecture?
Do not answer this with one, none, or a ridiculous response please... this is serious
Answer:
https://geometryhelp.net/triangle-inequality-theorem/
Step-by-step explanation:
This is from that site. Visit it and you may find what you're looking for.
If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.
Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y = [tex]\frac{3}{2}[/tex]x
y = -x + 5
WILL PICK BRAINLIEST ANSWER, THANK YOU, AND 5 STAR FOR FULL EXPLANATION. :)
Answer:
1 1/2
Step-by-step explanation:
A baseball has a diameter of 2.8 inches. How many baseballs will fit in a cylindrical barrel
that has a diameter of 4 ft and a height of 6 ft?
Answer:
5935 base balls
Step-by-step explanation:
Volume of a cylinder : pi * r² * h
r = Radius, h = height = 6ft
Diameter = 4ft ; Radius = diameter / 2 = 4/2 = 2ft
V = π * 2^2 * 6
V = 75.398223 ft³
Diameter of baseball = 2.8 inches
2.8 inches = 2.8 × 2.8 * 2.8 = 21.952 in³ = 0.0127037 ft³
Hence,
75.398223 ft³ / 0.0127037ft³
= 5935.1370
= 5935 base balls
Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet
Identifica la base y el exponente; entonces halla el valor
53
Base
Exponente
What is the sum? 3x^2-2x-1/x-5+-2x^2+x-5/x-5
Answer: 5(1-x) over x
Step-by-step explanation: Combine the rational expressions using the least common denominator (LCD).