Answer:
h=4
Step-by-step explanation:
5²-3²=h²
h²=16
h=4cm
Answer:
I=4 (Slant height)
R=3 (Radius)
H=5 (slant height)
Step-by-step explanation:
Imagine inclination, peprendicular height and radius as a triangle, so this will have a 90 degrees angle and Pythagor theorem will imply to the calculations, as :
[tex]a^{2}+b^{2}= c^{2}\\[/tex]
where Height is A , Radius is B, and Inclination is C we have:
[tex]3^{2} +I^{2} = 5^{2}[/tex]
from above we have:
[tex]I^{2} =25-9[/tex]
and
[tex]\sqrt{I}=\sqrt{16} =4[/tex]
Find the equation of the line below.
10
(4,8)
(1/2)
H10
10
Answer:
y=1/2x
Step-by-step explanation:
Find the y-int (0) and get the slope : 1/2.
Answer:
Letter B .................
Consider A TUV in the figure below.
The perpendicular bisectors of its sides are AD, BD, and CD. They meet at a single point D.
(In other words, D is the circumcenter of A TUV.)
Suppose CD= 36, BV=58, and UD = 60.
Find UV, VD, and TC.
Note that the figure is not drawn to scale.
U
V
UV - 10
D
VD = 0
TC -
Х
?

Answer:
Step-by-step explanation:
8
URGENT NEED HELP CLICK TO SEE
Answer: 2*5^2-12
5 to the 2nd power is 25
2*25-12
2*25=50
50-12=38
the answer is C 38
hope this helps
Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)?
A. .34
B. .51
C. .17
D. .68
Answer:0.51 I just took the test
Step-by-step explanation:
(08.06 LC)
Identify the factors of x2 + 16y? (5 points)
O (x + 4y)(x + 4y)
O (x + 4y)(x - 4y)
Prime
O (x - 4y)(x - 4y)
Answer:
Prime
Step-by-step explanation:
2(x?)+16y
O(x+4y)(x+4y)
x²+4xy+4xy+16y²
x²+8xy+16y²
O(x+4y)(x-4y)
x²-4xy+4xy-16y²
x²-16y
Prime
O(x-4y)(x-4y)
x²-4xy-4xy+16y²
x²-8xy+16y²
All are incorrect except prime, so the answer is prime.
---
hope it helps
Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000 pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.
Answer:
5,000+6,000+7,000+,9,000+6,000+5,000= 38,000
Step-by-step explanation:
The minimum cost of meeting the demands of the next six months is $7475.00.
Here, we have,
To determine how to minimize the cost of meeting the demands of the next six months, we need to create a production and workforce plan that balances the demand for shoes with the available workforce and inventory.
Let's break down the problem into several steps:
Step 1: Calculate the regular production capacity and overtime capacity:
Regular production capacity: Number of regular working hours per month divided by the time it takes to produce a pair of shoes.
Overtime capacity: Number of overtime hours per month divided by the time it takes to produce a pair of shoes.
Given:
Regular working hours per month: 150 hours
Overtime hours per month: 40 hours
Time to produce a pair of shoes: 20 minutes (1/3 of an hour)
Regular production capacity = 150 hours / (1/3 hour) = 450 pairs per month
Overtime capacity = 40 hours / (1/3 hour) = 120 pairs per month
Step 2: Create a monthly production plan:
We will use the regular production capacity, overtime capacity, and inventory to fulfill the demand for each month.
Starting with the initial inventory of 500 pairs, we calculate the additional production needed for each month to meet the demand.
Month 1:
Demand: 5000 pairs
Additional production needed: 5000 - 500 = 4500 pairs
Month 2:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500) = 1000 pairs
Month 3:
Demand: 7000 pairs
Additional production needed: 7000 - (500 + 4500 + 1000) = 1000 pairs
Month 4:
Demand: 9000 pairs
Additional production needed: 9000 - (500 + 4500 + 1000 + 1000) = 2000 pairs
Month 5:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Month 6:
Demand: 5000 pairs
Additional production needed: 5000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Step 3: Determine the hiring and firing decisions:
To minimize costs, we need to hire or fire workers based on the additional production needed for each month.
Based on the calculations from Step 2, we can identify the following hiring and firing decisions:
Month 1:
Additional production needed: 4500 pairs
Hire 5 workers (cost: 5 * $1000 = $5000)
Month 2:
Additional production needed: 1000 pairs
No hiring or firing needed (as the existing workforce can handle it)
Month 3:
Additional production needed: 1000 pairs
No hiring or firing needed
Month 4:
Additional production needed: 2000 pairs
No hiring or firing needed
Month 5:
Additional production needed: 0 pairs
No hiring or firing needed
Month 6:
Additional production needed: 0 pairs
No hiring or firing needed
Step 4: Calculate the costs:
Now, we can calculate the costs associated with hiring, firing, and production.
Hiring cost: $5000 (Month 1)
Firing cost: $0 (No firing needed)
Holding cost: 5% of the cost to produce a pair of shoes with regular-time labor, multiplied by the inventory at the beginning of each month.
Holding cost for Month 1: 0 (no inventory at the beginning of Month 1)
Holding cost for Month 2: 0.05 * ($2000 + 4500 * $10) = $237.50
Holding cost for Month 3: 0.05 * ($2000 + 5500 * $10) = $297.50
Holding cost for Month 4: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 5: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 6: 0.05 * ($2000 + 7500 * $10) = $475.00
Total cost:
Total cost = Hiring cost + Firing cost + Holding cost
= $5000 + $0 + ($237.50 + $297.50 + $475.00 + $475.00 + $475.00)
= $7475.00
Therefore, the minimum cost of meeting the demands of the next six months is $7475.00.
To earn more on addition click:
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I need help to find the value of X?
9514 1404 393
Answer:
x = 60
Step-by-step explanation:
The angle x is half the sum of the intercepted arcs:
x = (40 +80)/2
x = 60
Minutes No. of Homework
Problems
2 or Less
3-4
5-6
7-8
9 or more 8
4
2
0
3
What is the number of homework problems that took less than 5 minutes in the given table?
A.
4
B.
14
C.
12
D.
8
A patient has been instructed to drink a gallon of water each day. How many cups does the patient
need to drink?
Thank
Answer:
16 cups a day
Step-by-step explanation:
1. What is the surface area of the composite figure? Show ALL your work.
2. What is the volume of the composite figure? Show ALL your work.
Answer:
1. 144.4 m²
2. 120 m³
Step-by-step explanation:
The figure is composed of a triangular prism and a rectangular prism
1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)
✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L
b = 5 m
h = 2 m
s1 = 3.2 m
s2 = 3.2 m
s3 = 5 m
L = 6 m
Plug in the values
Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6
= 10 + (11.4)*6
= 78.4 m²
✔️Area of rectangular prism = 2(LW + LH + WH)
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Area of rectangular prism = 2(6*5 + 6*3 + 5*3)
= 126 m²
✔️Area of the face joining both figures = L*W
L = 6 m
W = 5 m
Area = 6*5 = 30 m²
✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)
= 48.4 + 96
= 144.4 m²
2. Volume of composite figure = volume of triangular prism + volume of rectangular prism
= ½*a*c*h + L*W*H
a = 2 m
c = 5 m
h = 6 m
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Volume = ½*2*5*6 + 6*5*3
Volume = 30 + 90 = 120 m³
A circle has a diameter of 12cm. Find the arc length if the central angle is 37°.
Round to the nearest tenth.
Answer:
40
Step-by-step explanation:
37 is greater than five and the next number with a zero would be 40
What is the value of y?
please hellpp!!!
Answer:
C=54°
Step-by-step explanation:
If u add each angle of a triangle should ways add up to 180°
Please help will give brainlyist
What is the sum of the whole number and the improper fraction?
4+7/4 A. 4 3/4 B. 5 3/7 C. 5 3/4 D. 4 3/7
Answer:
C. 5 3/4
Step-by-step explanation:
You have to write all numerators above the common denominator
4+7/4=16+7/4
Add the numbers together
16+7/4=23/4
Simplify the fraction
23/4=5 3/4
questionon on picture
Answer:
yes this option is correct
Is this right? If not, what is it? PLEASE
Answer:
It is correct.
Step-by-step explanation:
A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the nearest tenth.
V = 6434.0 m3
V = 2804.2 m3
V = 1402.1 m3
V = 3217.0 m3
Answer:
3215 .36 m³ is the required volume.
Step-by-step explanation:
Base area of Cylinder = 64π m²
Height of cylinder is equal to twice the radius .
As we know that ,
★Base Area of Cylinder = πr²
where,
π is taken as 22/7 or 3.14
r is the radius of cylinder
Substitute the value we get
↝ 64 π = πr²
↝ 64 = r²
↝ √64 = r
↝ 8 = r
↝ r = 8 m
Now, it is given that height is equal to twice of radius
Therefore ,
height = 2r = 2×8 = 16 m
★Volume of Cylinder = πr²h
substitute the value we get
↝ volume of Cylinder = 3.14 × 8² × 16
↝volume of Cylinder = 3.14 × 64 × 16
↝volume of Cylinder = 3215 .36 m²
Hence, the required volume of cylinder is 3215 .36 m³.
Answer:
3217.0
Step-by-step explanation:
Find the area of the following figure and write your result in the empty box.
Answer:
Area = 406
Step-by-step explanation:
First things first: Divide the shape
Here is how I did it:
21 x 16
14 x 5
Now solve:
21 x 16 = 336
14 x 5 = 70
Now add:
336 + 70 = 406
So the area is 406
What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.
Answer:
I think it's A but I'm not sure
f
Solve the equation + 22 = 17.
3
Answer: subtract 22 on both sides
Step-by-step explanation:
Now you would have -5 to solve take 3 and multiply on both sides to get f=-15
Hope this helps
Answer: -5
Step-by-step explanation:
Last year, Deshaun had $10,000 to invest. He invested some of it in an account that paid 8% simple interest per year, and
he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total of $660 in
Interest. How much did he invest in each account?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer:
4
Step-by-step explanation:
If A+B+C=[tex]\pi[/tex] show that tan A + tan B +tan C = tan A.tan B.tan C
Answer:
[tex]a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b) [/tex]
Step-by-step explanation:
we have:
[tex] \tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)[/tex]
we also have:
[tex] \tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)[/tex]
from (1)(2) => proven
A line segment AB has midpoint (2, 5). If the coordinates of A are (-1, -3), what are the coordinates of B?
Answer:
B (5; 13)
Step-by-step explanation:
Midpoint (x) = (-1 + bx)/2 = 2
Bx - 1 = 4
Bx = 5
Midpoint (y) = (-3 + By)/2 = 5
By - 3 = 10
By = 13
B (5; 13)
Can i get some help solving this problem please. 2x=x-10
Answer:
x=3.33
Step-by-step explanation:
2x=x-10
2x+x=10
3x=10
x= 10/3
x= 3.33
What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7
write the coefficient of a in 7 a
Given:
The term is 7a.
To find:
The coefficient of "a" in the given term "7a".
Solution:
In the product of a number and a variable, the number is called the coefficient of that variable.
In the expression "7a", the number is "7" and the variable is "a". It means the number 7 is the coefficient of "a".
Therefore, the coefficient of "a" in the given term "7a" is 7.
Solve for each unknown angle measure...
Please help! This a a test btw so please give me the right answer!
Answer:
because l1//l2 => z + 65 = 180
y + 65 = 90
x + 65 = 90
<=> z = 115
y = 25
x = 25
Answer:
x=25
y=25
z=115
Step-by-step explanation:
x congruent to y
180-90-65=25
180-65=115
Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So, he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as he drives for t minutes. Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house. 12 minutes 27 minutes 31 minutes 7 minutes 10.4 miles on his return trip arrowRight 5.6 miles on his trip to the restaurant arrowRight 9.6 miles his trip to the restaurant arrowRight 7.2 miles on his return trip arrowRight
Answer:
The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)
Step-by-step explanation:
Factorise a^2-b^2 but it has no indecies
Answer:
(a+b)(a-b)
Step-by-step explanation:
The braking ability of two types of automobiles was compared. Random samples of 64 auto mobiles were tested for each type. The recorded measurement was the distance required to stop when the brakes were applied at 40 miles per hour. The computed sample means and variances were as follows:
y¯¯¯1=118,y¯¯¯2=109 s21=102,s22=87
. Do the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles? Give the attained significance level.
Answer:
The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
Step-by-step explanation:
Formulate the null and alternate hypothesis as
H0: u1= u2 against the claim Ha: u1≠ u2
The data given is
y`1=118, y`2=109 s21=102, s22=87
The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2
n1= n2= 64
And
Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2
Sp² = 63*102+6*87/64+64-2
Sp² = 94.5
Sp= 9.7211
Putting the values in the test statistic
t= 118-108/9.7211√1/64+1/64
t= 5.237
Now finding the value of t at ∝=0.01 for two tailed test
t( 126,0.005)= ±2.6154
At alpha= 0.01 the null hypothesis is rejected.
Now finding the value of t at ∝=0.05 for two tailed test
t( 126,0.025)= ±1.979
Even at alpha= 0.05 the null hypothesis is rejected.
Also at alpha= 0.05 the null hypothesis is rejected because the critical value is ±1.657
Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles