Answer:
It is A because if you read this text you will see the information
Step-by-step explanation:
Larry Mary and Terry each had a full glass of juice Larry drank 3/4 of his Mary drank 3/8 of hers Terry drank 7/10 of his who drink less than 1/2 of their juice
Solve the equation and show all work please show steps!!
e/5-14=8
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Arturo builds a cube that measures 5 in on each side. What is the volume of Arturo's cube?
HELP!! Adding and subtracting radicals
Find the surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches.
Final answer:
The surface area of a pyramid with a base side of 2.5 inches and a slant height of 3 inches is calculated by finding the area of the base and the four triangular faces separately and then adding them together, resulting in a total surface area of 21.25 square inches.
Explanation:
To find the surface area of a pyramid with a square base of 2.5 inches and a slant height of 3 inches, we need to calculate the area of the base and the area of the four triangular faces.
For the base, which is a square:
Area of base = side × side = 2.5 inches × 2.5 inches = 6.25 square inches
For each triangular face:
Area of one triangle = (base × slant height) / 2 = (2.5 inches × 3 inches) / 2 = 3.75 square inches
Since there are four such triangles, we multiply the area of one triangle by 4:
Total area of four triangles = 3.75 square inches × 4 = 15 square inches
Finally, add the area of the base and the total area of the triangular sides to get the total surface area:
Total surface area = area of base + total area of triangles = 6.25 square inches + 15 square inches = 21.25 square inches
The surface area of the pyramid is therefore 21.25 square inches.
[tex] \frac{7x + 21}{x2 + 5x + 6} \div \frac{x + 6}{x + 2} [/tex]
n cold climate areas, trucks are used to disperse salt on the roads in order to de-ice the roads, making them safe for travel. In some cases, cone- shaped sheds store the salt during the off-season, or until the roads need to be de-iced. This large salt storage shed sits 12 feet above the ground and holds approximately 51.4 cubic feet of salt. To the nearest hundredth of a foot, what is the radius of the large storage shed? Use 3.14 for . In your final answer, include all of your calculations.
The radius of the large storage shed is approximately 2.023 feet to the nearest hundredth of a foot.
To find the radius of the large storage shed, we need to use the formula for the volume of a cone, which is given by: [tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
where V is the volume, r is the radius of the base, h is the height and [tex]\( \pi \)[/tex]is approximately 3.14. We are given that the volume V is 51.4 cubic feet and the height h is 12 feet. We need to solve for r.
First, let's rearrange the formula to solve for r: [tex]\[ r^2 = \frac{3V}{\pi h} \][/tex]
Now, plug in the given values:
[tex]\[ r^2 = \frac{3 \times 51.4}{3.14 \times 12} \][/tex]
[tex]\[ r^2 = \frac{154.2}{37.68} \][/tex]
[tex]\[ r^2 \approx 4.093 \][/tex]
Now, take the square root of both sides to find r:
[tex]\[ r \approx 2.023 \][/tex]
So, the radius of the large storage shed is approximately 2.023 feet to the nearest hundredth of a foot.
Find the cardinal number for the following sets.
A = {102, 103, 104, 105,..., 155}
B = {102, 104, 106, ..., 252}
You put $5000 in an account. The account earns $2250 simple interest in 10 years. What is the annual interest rate?
The annual interest rate is
The annual interest rate is 4.5%.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, principal =$5000, simple interest=$2250 and time period= 10 years.
Here, 2250= (5000×R×10)/100
225000=50000R
R=225000/50000
R=4.5%
Therefore, the annual interest rate is 4.5%.
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In a four-team basketball league, each team has played every other team 4 times. A team earned 3 points for a win, 1 point for a tie and no points for a loss. The total accumulated points were: Bulls 22, Lakers 19, Knicks 14 and Warriors 12. How many games ended in a win and how many games ended in a tie?
I'll give brainliest if you show your work. Plz answer quickly.
Nolan used the following procedure to find an estimate for the square root of 18.
Step 1: Since 4^2=16 and 5^2= 25 and 16 < 18 < 25, the square root of 18 is between 4 and 5.
4.1^2=16.81
4.2^2=17.64
4.3^2=18.49
4.4^2=19.36
Step 3: Since 18.49 rounds to 18, 4.3 is the best approximation for the square root of 18.
In which step, if any, did Nolan make an error?
A) In step 1, the square root of 18.
is between 4 and 5 because the square root of 18 equals about 20 and 4 times 5= 20.
B) In step 2, he made a calculation error when squaring.
C) In step 3, he should have determined which square is closest to 18.
D) Nolan did not make an error.
Nolan correctly identified the square numbers before and after 18.
The square roots of them are 4 and 5.
Clearly, square root of 18 should lie between 4 and 5 only.
He, then carefully squared 4.1, 4.2, 4.3 etc. and identified that 4.3 squared is nearer to 18.
Since, Nolan is finding estimated square root, his steps are cool and he didn't make any error.
Answer: C
Step-by-step explanation:
Took a quiz
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Determine how many actual fish food boxes fit in the shipping box. Show your work.
Find the volume of the shipping box using the two methods and show your work:
Packing cubes
Using the volume formula
Explain how both methods provide the same measurement of volume for the shipping box.
Answer:
Number of boxes that will fit =2340
Step-by-step explanation:
The shipping box volume can be calculated by the formula V = Lxwxh ,where L ,w ,h are length ,width and height of the box.
The length of the shipping box =[tex]3\frac{3}{4} =\frac{15}{4} ft.[/tex]
Width = 3 ft.
Height =[tex]3\frac{1}{4} =\frac{13}{4} ft.[/tex]
Volume of shipping box =[tex]\frac{15}{4} .3 .\frac{13}{4} =\frac{585}{16} = 36.6 ft[/tex].cubic ft.
Volume of shipping box can also be calculated by multiplying base area with the height of box.
Base area of box = [tex]\frac{15}{4} .3=\frac{45}{4} square ft.[/tex]
Volume of box = base area x height =[tex]\frac{45}{4} .\frac{13}{4} = 36.6 cubic ft.[/tex]
Volume of packing cubes =[tex]\frac{1}{4} .\frac{1}{4} .\frac{1}{4} =\frac{1}{64}[/tex] cubic ft.
Number of fish boxes that will fit in the shipping box = volume of shipping box ÷ volume of fish food box = 36.6 ÷ [tex]\frac{1}{64}[/tex] =2340 .
I asked this earlier and got no answer. Will give brainliest
The area of a square in 225 inches squared.
a. Write a quadratic equation that can be used to find the dimensions of the square.
b. Solve the equations. What are the dimensions?
5/6 x2 1/5 will be _________21/5
Will it be grater then,
less then
or equal to
Thank you for your help
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How many pieces 1/3 of a foot each can I make out of 7 feet of rope?
In order to find how many pieces of 1/3 feet rope you can make out of 7 feet rope, you have to divide 7 feet by 1/3 feet.
7/ (1/3) = 21 pieces
Therefore, you can make 21 1/3 – feet ropes.
There are twice as many liters of water in one container as in another. If 8 liters of water are removed from each of the two containers, there will be three times as many liters of water in one container as in the other. How many liters of water did the smaller container have to begin with?
A conical hat has a radius of 7 inches and a height of 14. What’s the slant height
The slant height of a conical hat with a radius of 7 inches and a height of 14 inches is found by using the Pythagorean theorem, leading to a slant height of approximately 15.65 inches.
To find the slant height of a conical hat with a radius of 7 inches and a height of 14 inches, we use the Pythagorean theorem for the right triangle formed by the radius, height, and slant height of the cone. The slant height is the hypotenuse of this right triangle, while the radius and the height are the two legs.
The formula for the Pythagorean theorem is:
a^2 + b^2 = c^2
Where:
a is the radius of the cone (7 inches),
b is the height of the cone (14 inches), and
c is the slant height of the cone (what we are trying to find).
Substituting the values into the formula, we get:
7^2 + 14^2 = c^2
49 + 196 = c^2
245 = c^2
To find c, we take the square root of both sides:
c = √245
The slant height (c) is then calculated to be:
c ≈ 15.65 inches
Morty buys and sells computer parts he bought two monitors for $25 each and later sold them for 88 each he bought four cases for $15 each and later sold them for $24 each if you buy five memory modules for $20 each and later sold them for $55 each
Morty’s total cost for the items he purchased was?
Morty revenue from the sale of the item was
Morty’s total profit was
Answer:
Step-by-step explanation:
Cost = 25×2 +15×4+20×5 = $210
Revenue = 88x2+24×4+55×5 = $547
Profit = Revenue - Cost = 547 - 210
Profit = $337
Todd bought one and 1/2 yards of fabric each pillow uses 3/8 yards of fabric how many pillows can Todd make
Mrs.martin made 15 3/4 gallons of sweet tea for a celebration how many quarts of sweet tea did ms.martin make
I need help on this one please
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In South Australia, an average of 16 400 000 packets of chips were eaten each day. After a campaign by the health department this amount reduced by 3.9 million.
How many packets of crisps were eaten after the campaign?
Make a story problem for 6 divided by 1/3.
Ray is x years old. His brother Ron is y years older than Ray.
What will the sum of their ages be in 5 years?
Help with #11, show work!
geometric mean between 9 and 11
The geometric mean of given numbers 9 and 11, using the formula is 9.95.
What is geometric mean?If a and b are two numbers
Their geometric mean = [tex]\sqrt{a*b}[/tex]
Given numbers are 9 and 11
So, the geometric mean of 9 and 11 will be:
[tex]\sqrt{9*11} \\\\\sqrt{99} \\\\9.95[/tex]
Therefore, the geometric mean of given numbers 9 and 11 is 9.95
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