Answer:
C. 500
Step-by-step explanation:
Given that
The ordering cost per order is $50
The carrying cost percentage is 20%
The weekly demand is 100 units and there are 50 weeks in the work year
The cost per unit is $10
We need to find out the economic order quantity i.e. EOQ
So we applied the above formula
= √(2 × weekly demand × no of weeks × ordering cost) ÷ √(carrying cost × cost per unit)
= √(2 × 100 × 50 × $50) ÷ √(20% × $10)
= √(500,000 ÷ 2)
= 500 units
hence, the option c is correct
Angle sec0= -13/12 and cot<0. what are the exact values of tan0 and sin0.
Answer:
tan 0= -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
Two sides of a parallelogram are 500 feet and 790 feet. The measure of the angle
between these sides is 33°. Find the area of the parallelogram to the nearest square
foot
Answer:
215117 ft²Step-by-step explanation:
Assumed the base is the longer side.
The height of the parallelogram is:
h/500 = sin 33° h = 500 sin 33° h = 272.3 ftThe area is:
A = bh A = 790*272.3 = 215117 ft²Answer:
215132
Step-by-step explanation:
deltamath
a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the park as shown in the image below. How much of the park will still be grass?
Answer: 624 Square meters
Step-by-step explanation:
Kendra and Dalisay practice archery. Kendra hits the target 3 times every 5 misses. Dalisay hits the target 5 times every 7 misses. Who hits the target more?
Dalisay hits the target more.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Kendra hits the target 3 times every 5 misses.
And, Dalisay hits the target 5 times every 7 misses.
Since, Kendra hits the target 3 times every 5 misses.
Hence, In 1 misses Kendra hits the target = 3/5 times
= 0.6 times
And, Dalisay hits the target 5 times every 7 misses.
Hence, In 1 misses Dalisay hits the target = 5/7 times
= 0.74 times
Thus, Dalisay hits the target more.
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Write the word sentence as an equation.
11 3/4 is the quotient of a number y and 6 1/4
An equation that represents this sentence is ?
The equation that represents the sentence is y ÷ 6₄¹ = 11₄³
What is quotient?
The word quotient is the outcome when dividend is divided by a divisor.
The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.
The number that is divided by other number is called dividend and this other number is called divisor.
Write the word sentence as an equation given in question?11³₄ is the quotient of a number y and 6¹₄.
47/4 is the quotient of a number y and 25/4
hence, y is the dividend and 25/4 is the divisor
y ÷ 25/4 = 47/4
y × 4/25 = 47/4
y = 1175/16
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The solid below is made of eight rectangular prisms, each with dimensions of 14 inches (in.) by 9 inches by 10 inches.
What is the volume, in cubic inches, of the object?
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest.
Answer:
D
Step-by-step explanation:
Volume of one prism
V = base x width x height = 14 x 9 x 10 = 1260 in^3
Volume of the solid
V = volume of one prims x 8 = 1260 x 8 = 10,080 in^3
Show how u solved it
Answer:
The surface area of the figure is 412 cm2.
Step-by-step explanation:
To determine the total surface area of a prism, the following formula must be applied: perimeter of the base x height + 2 x area of the base = total surface area. Thus, the calculations of the blue prism must be carried out and then add the sides of the red figure that do not coincide with it:
Blue figure:
(12 x 2 + 2 x 2) x 10 + 2 x (12 x 2) = X
(24 + 4) x 10 + 2 x 24 = X
28 x 10 + 48 = X
280 + 48 = X
328 = X
Red figure:
3 x 8 = 24 x 2 = 48
3 x 6 = 18 x 2 = 36
328 + 48 + 36 = X
376 + 36 = X
412 = X
Therefore, the surface area of the figure is 412 cm2.
Billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet.
Billy noticed that several of his carrots had been eaten by some mischievous rabbits. Billy wants to build a fence around his circular garden to keep the rabbits out. How much fence would Billy need? Explain how you determined your answer. Show all your work.
Billy decides that next year he will make his garden a raised-bed garden. He plans to make a short wall of paving bricks all the way around the garden, then fill the space inside with fresh soil. If he makes the wall 1 foot high, what volume of soil will he have to purchase in order to fill the circle to the top of the bricks?
Answer:
Step-by-step explanation:
area=πr^2
so we need to find the area then divide by 8
so
we know that diameter=2radius or diameter/2=radius so
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
Find the inverse of the function.
y = x + 8
Write your answer in the form ax + b. Simplify any fractions.
y =
Answer:
X=y-8................
FIND C.
Give your answer in the simplest form
Answer:
3
Step-by-step explanation:
[tex] \sin(45) = \frac{a}{7 \sqrt{2} } [/tex]
[tex]a = 7[/tex]
[tex] \tan(30) = \frac{7}{c} [/tex]
[tex]c = 7 \sqrt{ 3} [/tex]
therefore 3 is required in the green box
NEED HELP LOL
if i have an 80% in a class for the first semester and a 90% in a class for the second semester, what is my grade for the year?
50points!
True or False, (-1,5) is a solution for these systems of equations.
y = -x + 4
y = 0.2x
Answer:
am not sure but I think is true. I am hopeful
Answer:
FalseStep-by-step explanation:
Substitute to verify:
5 = - (-1) + 45 = 5True for the first equation5 = 0.2(-1)5 = -0.2False for the second equation, so the answer is falsePLEASE help test due tonight !!!Use the two-way frequency table to answer questions #14-19
Answer:
14. 1/13
15. 14/15
16. 1/13
17. 15/30=1/2
18. 12/13
19. 12/15
If you are happy with my answers, please give brainliest <3
Right triangle XYZ has legs of length XY = 12 and YZ 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?
Step-by-step explanation:
a probability is always
desired cases / totally possible cases.
now in our case the totally possible area is the area of the triangle XYZ (when D = Z).
the desired case is the area of 20 (which contains also the possibilities of smaller areas).
so, the probability is 20/area.
now, let's find the area of XYZ :
Pythagoras tells us the length of the Hypotenuse :
XZ² = XY² + YZ² = 12² + 6² = 144 + 36 = 180
XZ = sqrt(180)
the area based on all 3 sides we get via Heron's formula
s = (a+b+c)/2
A = sqrt(s(s-a)(s-b)(s-c))
s = (12+6+sqrt(180))/2 = 9 + sqrt(180/4) = 9 + sqrt(45)
sqrt(180) = 2×sqrt(45)
A = sqrt((9+sqrt(45))(-3+sqrt(45))(3+sqrt(45))(9-sqrt(45)))
(a+b)(a-b) = a² - b²
so,
(9+sqrt(45))(9-sqrt(45)) = 81 - 45 = 36
(-3+sqrt(45))(3+sqrt(45)) = 45 - 9 = 36
A = sqrt(36×36) = 6×6 = 36
the probability that the area of XYD is max. 20 is
20/36 = 5/9
Let x^2+10x=6.
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x^2+10x+___=___
Answer:
x² + 10x + 25 = 31
Step-by-step explanation:
To complete the square use half the x coefficent (10/2 = 5)
and square it (5² = 25)
Then add it to both sides
x² + 10x + 25 = 6 + 25
x² + 10x + 25 = 31
Answer:
x^2 + 10x + 25 = 31
Step-by-step explanation:
x^2 + 10x + (10/2)^2 = 6 + 25
x^2 + 10x + 25 = 6 + 25
x^2 + 10x + 25 = 31
The first step requires a bit of explanation. The way to complete the square is to take 1/2 the linear term (10x) and square it
1/2 10 = 5
5 squared = 25
That number must be added to the right side to maintain equality.
39➗(2+1) - 2x (4+1)
5/7 - Exit Ticket
Answer:
13 - 10x
= -3x
hope it helps
how many milermiters are they in a centermeter
1 centimeter = 10 millimeters
In a class, 40% of the students are girls. Of the girls in the class, 25% play tennis. There are 40 students in the class. How many girls in this class, play tennis?
a- 10
b- 16
c- 4
d- 24
Answer:
Let x=number of girls in the class
Then x+27 =total number of students in the class
So our equation to solve is :
40% of (x+27)=x or
0.40(x+27)=x get rid of parens
0.40x+10.8=x subtract 0.40x from each side
0.40x-0.40x+10.8=x-0.40x collect like terms
Step-by-step explanation:
Nina uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cups pecans, and some raisins in a recipe that makes 2 1/4 cups of trail mix. How many cups of cashews are there per cup of trail mix?
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
1/2 ÷ 2 1/4
1/2 ÷ 9/4
1/2 x 4/9 = 4/18 = 2/9
(please answer)When considering the cost of paying for college, which kind of aid MUST be repaid A) grants B) scholarships 0 student loans D work-study
Answer:
A. grant
that's the answer
Solve for m: m-5/8=-1/4
M-5/8 = -1/4
Add 5/8 to both sides:
M = -1/4 + 5/8
Rewrite the fractions to have a common denominator
-1/4 = -2/8
Now you have m = -2/8 + 5/8
M = 3/8
Answer:
The answer is 0.375 (3/8)
Step-by-step explanation:
Since the M is subtracted by 5/8, you add 5/8 to both sides of the equation to get the M by itself and -1/4+5/8 equals 0.375, or 3/8
multiply the sum by the difference of 19 and 57
Answer:2009#73
Step-by-step explanation:
3939+373
Ie,ek
Germany 3. Guam 24
Greenland -10
Which location is the warmest?
Answer: Guam
Step-by-step explanation:
Guam's location is the warmest because its a higher number than Greenland and Germany
HELP with this equation
Answer:
83°
Step-by-step explanation:
-4m+51-4m+42= 158°
-8m+94= 158
-8m= 64
m= -8
JMK= -4m+51
= -4(-8)+51
= 32=51
= 83°
explain step by step please thank you! Paco drives an average of 55 miles per hour. Their destination is 274 miles away. wants to arrive at 4:00 p.m. and allow an extra hour for stops. What time should he go out?
Answer:
11:01 am
Step-by-step explanation:
If paco drives 55 miles per hour you must divide 274 by 55 to find the amount of time it will take for him to reach his destination:
274÷55=4.981818...
Now we have 4 hours plus 0.981818.. hours which the latter we multiply by 60 to find out how many minutes are 0.981818 hours:
60×0.981818...=58.9090...
which I will round to 59 as clocks show an hour and a minute so rounding it so it's accurate to the second is unnecassary, this means it will take him 4 hours 59 minutes to reach his destination so we subtract this from 4:00 pm:
4:00 pm-4 hours 59 minutes= 11:01 am
So our answer is 11:01 am
The figure below is a scale drawing of a garden if the scale used is 1/4 inch = 3 feet then what is the peremiter of the actual garden
Answer:
if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden? AI Recommended Answer: The perimeter of the actual garden is 144 feet.
Step-by-step explanation:
does anyone know what this is please help
Answer:
1)2 2)third 3)8
Step-by-step explanation:
So for the first one doubled just means times 2
for the second r³ means to the third power
for the last one all you do is put some values in and calculate the radius volume ratio which is, when the radius is doubled the volume is octupled (times 8)
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If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?
Answer:
RM = 12 cm
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Assuming 20 is the hypotenuse cus there is no picture:
[tex]a^{2} + 16^{2} = 20^{2}[/tex]
[tex]a^{2} +256 = 400[/tex]
[tex]a^{2} = 144[/tex]
[tex]a=144[/tex]
If It's not the hypotenuse:
[tex]16^{2}+ 20^{2} =c^{2}[/tex]
[tex]256+400 =c^{2}[/tex]
[tex]656=c^{2}[/tex]
[tex]c = 25.61249695[/tex]
But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.
Hope this helped. :0)
The density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume. Express this density in pounds per cubic foot. Round your answer to the nearest whole number.
The density of the material is 1533.3 grams per quarts.
What is density?Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.
Given that, the density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume.
The formula to find the density is Density=Mass/Volume
Density =6900/4.5
Density= 1533.3 grams per quarts
Therefore, the density of the material is 1533.3 grams per quarts.
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A woman bought a number of items for $24. She realized that if she had bought 4 more items for
the same money, she would have pald $8 less per Item. How many Items did she buy?
Answer:
The woman bought 2 items at $12 each.
Step-by-step explanation:
Given that a woman bought a number of items for $ 24, and she realized that if she had bought 4 more items for the same money, she would have paid $ 8 less per item, to determine how many Items did she buy the following calculation must be done:
X = 24
X + 4 = 24
24/2 = 12
24/6 = 4
12 - 4 = 8
Therefore, the woman bought 2 items.