This figure shows an oblique triangle-based pyramid.
What is the volume of the figure?
Answer: 88 cm^3
Step-by-step explanation:
= 1/2 • bh
= 1/2 • 6 • 8
= 24
= 1/3 • 24 • 11
= 88 cm^3
The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.
What is volume?The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.
Given:
The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,
Calculate the volume as shown below,
The Volume of the pyramid = 1 / 3 × Area of the triangle × height
The volume of the pyramid = 1 / 3 × 1 / 2 × 6 × 8 × 11
The volume of the pyramid = 528 / 6
The volume of the pyramid = 88
Thus, the volume of the pyramid is 88 cm³.
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Find the area in square inches. <3
Find the dot product of u and v.
9514 1404 393
Answer:
-4
Step-by-step explanation:
The dot product is the sum of products of corresponding coefficients.
u·v = (4)(-1) +(0)(2) = -4
u·v = -4
please help asap !!!!
Answer:
P = 3/8
q = 1/2
Step-by-step explanation:
(3/8)^3/8 × (3/8)^1/8 = P^q
Because of the same base, pick one of the bases
Then, add the powers
(3/8)^3/8 × (3/8)^1/8 = P^q
= (3/8)^3/8 + 1/8
= (3/8)^(3+1)/8
= (3/8)^4/8
= (3/8)^1/2
Therefore,
P^q = (3/8)^1/2
Where,
P = 3/8
q = 1/2
P^q = (3/8)^1/2
= √(3/8)
4. What type of line of symmetry does this triangle have? horizontal vertical This triangle has no line of symmetry. diagonal
can someone answer this please
Answer:
Lauren saves $4,200 and Harold saves $1,050 after 6 months.
Step-by-step explanation:
700 × 6
175 × 6
What is the value of x???
Answer:
x=63
Step-by-step explanation:
The degree measure of a line is 180 degrees.
180 degrees is made up of 117 and x
117+x=180
x=63
questionon on picture
Answer:
yes this option is correct
Which of the following is not true? Select one: The data is symmetrical. The median is 1.25. The data is skewed right The spread of the data distribution is from 0 to 2.5
I am a line that intersects a circle at 2 points WHAT AM I?
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:
what is 8/3x-x+5/3=13/6-2/3x
Answer:
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
a²b² + 2ab (a²+1) +a^2-b^2-1
Exponentiation is not clear
If so Exponentiation
a²b²+2ab(a²+1)+a²-b²-1
this answer
a²b²+2a³b-b²+2ab+a²-1
As for if so Exponentiation
[tex]a²b²+2ab(a²+1)+a² - b {}^{2 - 1} [/tex]
this answer
a²b²+2a³b+2ab+a²-b
Help pls 15 points!!
Answer:
i think its num 4
Step-by-step explanation:
a varies inversely with b. if a=9 when b=2, then find when b=6
Answer:
a[tex] \alpha [/tex]
1/b
a=k/b
k=a×b
where a=9
b=2
k=?
k=9×2
k=18
where a=?
b=6
k=18
a=k/b
a=18/6
a=3
(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
Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
Factorise a^2-b^2 but it has no indecies
Answer:
(a+b)(a-b)
Step-by-step explanation:
If a statue made from 1000 cm^3 of bronze has a mass of 8.7kg. what is the mass of a statue made from 4500cm^3 of bronze?
Answer:
screenshot
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
Is this right? If not, what is it? PLEASE
Answer:
It is correct.
Step-by-step explanation:
i think the answer is A what about y’all? i know i could be wrong
9514 1404 393
Answer:
A. 15.250
Step-by-step explanation:
The applicable trig function is the cosine function:
Cos = Adjacent/Hypotenuse
cos(57°) = y/28
y = 28×cos(57°) ≈ 15.24989
y ≈ 15.250 . . . . matches choice A
_____
Additional comment
From your knowledge of "special" triangles, you know that y would be 14 if the angle were 60°. Of course, the length must be shorter than 28, so answer choices B and C are immediately eliminated. The fact that the length is closer to half of 28 than it is to 28 makes choice A look like a pretty good guess.
solve the inequality please
Answer:
The solution is 4 >/= -21
4 is greater than or equal to negative 21
Step-by-step explanation:
7x + 4 >/= 7(x - 3)
We'll start by distributing the y7 to the items in parentheses
7x + 4 >/= 7x - 21
Subtract 7x from both sides
4 >/= -21
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.
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Whats the answer?This is trigonometry
Answer:
100
Step-by-step explanation:
Meg withdrew $300 from her account on Saturday. Then she deposited $174.83 into her account on Sunday. Meg wants to know how much would be in her brother's account if he has double her balance.
- A = -125.17
- B = -250.34
- C None of the above
Pls answer quick!!
−300 + 174.83 = -125.17. A is the answer!
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:
-3.5 + 7.75 + 6.9 (4.3)
Answer:
33.92
Step-by-step explanation:
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