Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = [tex]a^2=6^2=36\ inches^2[/tex]
we know that volume of square right pyramid=[tex]\frac{1}{3}\times\ a^2h[/tex]
Therefore, volume of square right pyramid made by all of clay=[tex]\frac{1}{3}\times\ a^2h[/tex]=48 cubic inches
[tex]\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}[/tex]
Now, slant height [tex]l=\sqrt{(\frac{a}{2})^2+h^2}[/tex]
[tex]\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5[/tex]
The slant height of the pyramid if Helen uses all the clay=5 inches
Answer:
The correct answer would be 5 inches.
Step-by-step explanation:
what is 10000 more than 46952 and what is the missing
number
Line graphs are useful for seeing trends. How do you explain a line graph that goes up and down?
The record for the boston marathon's weelchair division is 1 hour, 18 minutes, and 27 seconds.The boston Marathon is 26.2 miles long.What's the average speed of the record winner of the weelchair division? At this rate about how long would it take this competitor to complete a 30-mile race?
Using the following data, calculate the mean absolute deviation:
7 2 8 5 9 9 5 6 8 1
What is the mean absolute deviation for these data?
Answer:
kphung76127 is right. It is 2.2
Step-by-step explanation:
I got it right on a test.
x + y = 4 x - 2y = -5 If the first equation is multiplied by 2 and then the equations are added, the result is _____.
is the answer 3x=3????
Isabella wrote 0.0135<0.01350 because 135 <1350.Is Isabella correct?Why or Why not?
What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?
Thirty car pass through a certain toll booth each minute.at that rate,how many cars are expected to pass through the toll booth each half-hour
A 15
B 60
C 450
D 900
Answer:
the answer is d
Step-by-step explanation
correct on Edge
The answer is Option D)
The number of cars that are expected to pass through the toll booth each half-hour will be 900
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of cars that pass through the toll booth at each minute = 30
Let the number of cars to pass at each half-hour be A
1 hour = 60 minutes
half-hour = 30 minutes
So,
The number of cars to pass at each half-hour A =
The number of cars that pass through the toll booth at each minute x 30
The number of cars to pass at each half-hour A = 30 x 30
= 900 cars
Hence , The number of cars that are expected to pass through the toll booth each half-hour will be 900
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solve for g 2/3+1/4g=-1/6
need help asap!!!plz help
What is the sum of 5.300 and 3.250
sum means to add
5.300 + 3.250 = 8.550
Jeremy opens a chocolate shop in the city. He pays $1,500 a month for rent and maintenance of the shop. The price of raw materials and manufacturing the chocolates is $6,000 a month. He sells the chocolates individually and in boxes of a dozen. Jeremy understands that his business needs a little time to become a success and decides that he wants to build a customer base initially. He is happy to break even for the first year. After a year, Jeremy prices his chocolates at $3 apiece. He offers a discount of 10% on boxes of chocolate to promote the sale of boxes. How many boxes of chocolate would he have to sell to recover the cost of running the business this year per month? (Assume that he sells no individual chocolates.)
A. 188 boxes
B. 208 boxes
C. 226 boxes
D. 232 boxes
The volume of a cube is 27n^27 cubic units. What is the length of one side of the cube
volume of a cube = S^3
volume = 27
cubic root of 27 = 3
each side is 3 units long
What happens to a horizontal line if you rotate it 90 degrees counterclockwise ?
An item is regularly priced at $94. It is now priced at a discount of 30% off the regular price.
How do you write 120% as a fraction or mixed number in simplest form?
3x+2y+4z=12 X+y+2z=6 (X=0,y=4,z=1) Determine if the given 2 lines intersect at the given point. Explain your reasoning. -2x-4y+z=8 4x+2y=-5 (x=-2,y=0,z=3) same as up above
Can someone help me with these two questions about Logarithms? If you can, please don't just tell me the answer. I really want to understand how to do these so please add an explanation. Please and thank you. ^^
My phone wouldn't let me send the photos so here are the questions:
1. The loudness, L, of a sound in decibels is given by L=10logR, where R is the sound's relative intensity. if the intensity of a certain sound is tripled, by how many decibels does the sound increase?
2. An earthquake rated at 3.5 on the Richter scale is felt by many people and an earthquake rated at 4.5 may cause local damage. The Richter scale magnitude reading, m, is given by m=logx, where x represents the amplitude of the seismic wave causing ground motion. How many times greater is the amplitude of an earthquake that measures 4.5 than one that measures 3.5?
Which number is the farthest from two on the number line
Answer:
2.1 is the answer
Step-by-step explanation:
Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?
Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Which equation shows p, the price in dollars that she paid for her previous car?
Answer:
The Equation would be P(x) = [tex]\frac{x}{2}[/tex]
Step-by-step explanation:
The Equation states that the price of the old car P is equal to half the price that she paid for her new car (x). Since she paid $22,500 for her new car, we can use the equation to figure out how much she paid for her previous car.
[tex]P(x) = \frac{22,500}{2}[/tex]
P = $ 11,250
So $11,250 is what Ms. Banerjee paid for her previous car.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
A box of photographs contains 13 wedding photographs 4 vacation photographs and 8 holiday photographs one is randomly selected what is the probability that the photograph is a holiday photograph given that it is not a wedding photograph
The probability that a randomly selected photograph from the box is a holiday photograph, given that it is not a wedding photograph, is 2/3 or approximately 0.67.
The question involves calculating the probability of drawing a holiday photograph from a box, given that the photograph is not a wedding photograph. First, we determine the total number of non-wedding photographs, then we find the probability that a photo selected is a holiday photograph from that subset.
There are 13 wedding photographs, 4 vacation photographs, and 8 holiday photographs. Given that we're not selecting a wedding photograph, we're only considering the vacation and holiday photographs, which total 4 + 8 = 12 photographs. The event of selecting a holiday photograph then has 8 favorable outcomes (since there are 8 holiday photographs).
The probability that the photograph is a holiday photograph given that it is not a wedding photograph is calculated by dividing the number of holiday photographs by the total number of vacation and holiday photographs:
Probability = Number of holiday photographs / Total number of non-wedding photographs = 8 / 12 = 2/3 or approximately 0.67
You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?
1 dozen cost 5.98
so 1.5 dozen cost : 5.98 x 1.5 = 8.97
a coupon takes $1 off the price so
8.97-1.00 = 7.97
they cost a total of $7.97
Answer:
$7.97
Step-by-step explanation:
multiply to find the total cost and then subtracting the coupon amount.
find the product of 6 and 4296
Mr. Brown owned a house a house, which he rented for $60 a month. The house was assessed for $9000. In 1975 the rate of taxation was increased from $25 to $28 per $1000 assessed valuation. By what amount should the monthly rent have been raised to absorb the increase in that year's taxes?
In a 30-60-90 triangle, the hypotenuse is the shorter leg times the square root of two.
a.always
b.sometime
c.never
Subtract (3 + 2i) from (–9 – 8i).
Which problem can be solved using this equation? 400+100c=550+70c
A. One car salesperson makes a monthly salary of $100,$100, plus $400$400 commission for each car sold.
The other car salesperson makes a monthly salary of $70,$70, plus $550$550 commission for each car sold.
For which number of cars, cc, do they make the same amount in one month?
B.One car salesperson makes a monthly salary of $400,$400, plus $100$100 commission for each car sold.
The other car salesperson makes a monthly salary of $550,$550, plus $70$70 commission for each car sold.
For which number of cars, cc, do they make the same amount in one month?
C.One car salesperson makes $500$500 for each car sold.
The other car salesperson makes $620$620 for each car sold.
For which number of cars, cc, do they make the same amount in one month?
Answer:
One car salesperson makes a monthly salary of $400, plus $100 commission for each car sold.
The other car salesperson makes a monthly salary of $550, plus $70 commission for each car sold.
For which number of cars, c, do they make the same amount in one month?
how do we calculate QS? given that SQT and RPT are similar. thank you
since they are similar RT is similar to ST and PR is similar to QS
find the ratios
7/6 = x/9 cross multiply 7*9 =63
63/6 = 10.5
so QS = 10.5
What two numbers make the product of 12 and have the sum of 7?