A Triangle has an angle that measures 137.3 degrees. The other two angles are in a ratio of 3:4. What are the measures of those two angles?
Answers
42.5/7= 85/14
(85/14)*3=18.2 or (255/14 to be exact)
(85/14)*4= 24.29 or (170/7 to be exact)
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Find the equation of the line through point (4,-7) and parallel to y =-2/3x + 3/2
Which shows the expression below simplified?0.42 + (3.5 × 10-2)
Answers
Answer:
- See attachment for table values
- y₁ = y₂ for x = 6
Step-by-step explanation:
In each case, put the x-value in the formula and do the arithmetic. If you're allowed, you can save some time and effort by realizing that the solution (x) will have to be an even number.
y₁ is an integer value for all integer values of x. y₂ is an integer value for even values of x only. y₁ and y₂ will both be integers (and possibly equal) only when x is even.
For example, for x = 6, we have
... y₁ = 3·6 - 8 = 18 -8 = 10
... y₂ = 0.5·6 +7 = 3 +7 = 10
That is, for x = 6, both columns of the table have the same number (10). That is, y₁ = y₂ for x = 6. The solution to the equation
... y₁ = y₂
is
... x = 6.
Answers
Answer:
(-3.5,4)b
Step-by-step explanation:
Answers
Answer:
The box which minimizes the cost of materials has a square base of side length 4.45cm and a height of 2.22 cm.
Step-by-step explanation:
Volume of the jewellery box=44cm³
The box has a square base and is to be built with silver plated sides and nickel plated top and base.
Therefore: Volume = Square Base Area X Height = l²h
l²h=44
h=44/l²
Total Surface Area of a Cuboid =2(lb+lh+bh)
Since we have a square base
Total Surface Area =2(l²+lh+lh)
The Total Surface Area of the box =2l²+4lh
Nickel plating costs $1 per cm³
Silver Plating costs $2 per cm³
Since the sides are to be silver plated and the top and bottom nickel plated:
Therefore, Cost of the Material for the jewellery box =1(2l²)+2(4lh)
Cost, C(l,h)=$(2l²+8lh)
Recall earlier that we derived:
h=44/l²
Substituting into the formula for the Total Cost
Cost, C(l)=2l²+8l(44/l²)
C=2l²+352/l
C=(2l³+352)/l
The minimum costs for the material occurs at the point where the derivative equals zero.
C'=(4l³-352)/l²
4l³-352=0
4l³=352
Divide both sides by 4
l³=88
l=4.45cm
Recall:
h=44/l²=44/4.45²=2.22cm
The box which minimizes the cost of materials has a square base of side length 4.45cm and a height of 2.22 cm.
Answers
Sorry this is so late.
The answer is "Add the left side of equation 2 to the left side of equation 1"
Answer:
bro!! I'm on the same question on ap3x!!
lol
Step-by-step explanation:
Answers
Answer:
x=8
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + x^2 = 10^2
36 + x^2 = 100
Subtract 36 from each side
36-36 +x^2 = 100-36
x^2 = 64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x = 8
Answer:
x = 8
Step-by-step explanation:
According to Pythagorean Theorem
here
Now,
AB =x =8
B. H0: m <=7.5 and H1:m > 7.5
C. H0: m >=7.5 and H1:m < 7.5
D. H0: m <7.5 and H1:m >=7.5
E. H0: m >7.5 and H1:m <= 7.5
Answers
Answer: C . and
Step-by-step explanation:
Definition:
Null hypothesis is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and '≥' signs.
Alternative hypothesis is also a statement about the population parameter but against null hypothesis . It contains '≠' , '<' and '>' signs.
Let be the average customer waiting time for the population.
Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.
Objective of test : After using new system , the average customer waiting time is at least 7.5 or less than 7.5.
Then, the null and alternative hypothesis for this scenario will be :