Answer:
Variable B is the area of triangular base.
B = 38.5 \(in^{2}\).
Variable h is the height of pyramid.
In the given prism, h is 9 inches.
The volume of prism is 346.5 \(in^{3}\).
Step-by-step explanation:
Please refer to the attached image for the detailed labeling of all the sides.
\(\triangle ABC\) is the triangular base of the prism.
BC is the base of triangular base of the prism.
AP is the height of triangular base.
Area of triangular base is represented by B and is calculated by following formula of area of a triangle.
\(Area = \dfrac{1}{2} \times \text{Base}\times \text{Height}\)
\(\Rightarrow \dfrac{1}{2} \times 11 \times 7\\\Rightarrow 38.5\ in^{2}\)
Hence, B = 38.5 \(in^{2}\).
Height of prism, h = 9 in
h is represented as side BE in the attached image.
It is know that volume of prism is given as :
V = Bh
Putting values of B and h:
\(V = 38.5 \times 9\\\Rightarrow V = 346.5\ in^{3}\)
Answer:
The formula for volume of a prism is V = Bh.
The variable B stands for the ✔ area of the base.
In this prism, B equals ✔ 38.5 in.².
The variable h stands for ✔ height.
In this prism, h is ✔ 9 in.
The volume of the prism is ✔ 346.5 in.³.
Explanation:
The answer above mine is correct. I hope this helps!
find the missing length 25 and 65
Answer: 60.
Step-by-step explanation:
Let in a right triangle one of the legs is 25, and the hypotenuse is 65.
Hence, the other leg is: \(\sqrt{65^2-25^2}=\sqrt{4225-625}=\sqrt{3600}=60.\)
Please help. Khan sucks!
Answer:
Your answer is
3z=30
z=10.
Answer:
10
Step-by-step explanation:
Because it is equal to each other. you have to find out what makes 3 equal to 15 which would be 5 because 3*5=15
Since you used five on the bottom one then you have to do the same for the top. Which would be 2*5=10 so then you get your answer
Hope this helps!
Can I have brainliest?
If you put $100 in a savings account with an interest rate of 2% per year and left the money in the account for five years, how much money would be in the account after five years?
Answer:
$510
Step-by-step explanation:
Formula for calculating money with simple interest: principle money × interest rate with 100% × period of time
Total amount of money = 100 × \(\frac{100+2}{100}\) × 5
= 510
micaiah places coins in the order of penny, nickel, dime, penny, nickel, dime, and so on, as shown, so that each row contains one more coin than the previous row. what is the total value in cents of all coins in the th row?
The total value in cents of all coins in the any row would be 16 cents.
In the pattern you described, the coins are arranged in rows such that each subsequent row has one more coin than the previous row. Let's analyze the values of the coins to determine the total value in cents of all the coins in the th row.
Assuming the values of the coins are as follows:
Penny: 1 cent
Nickel: 5 cents
Dime: 10 cents
We can observe that the pattern repeats after every three coins. The first three coins in the pattern are penny, nickel, dime. These coins have a total value of 1 + 5 + 10 = 16 cents.
For the subsequent rows, the pattern repeats with an offset of 3. For example, in the fourth row, the coins are penny, nickel, dime, which have the same total value as the first row, i.e., 16 cents.
So, regardless of the value of "th" (the row number), the total value in cents of all the coins in that row will always be 16 cents.
Learn more about cents here:
https://brainly.com/question/15483313
#SPJ11
Use FOIL to multiply.
(x+6)(x-9)
Pick two or fewer different digits from the set and arrange them to form a number. How many prime numbers can we create in this manner
By picking two or fewer different digits from a set and arranging them to form a number, it is not possible to create any prime numbers.
To determine if a number is prime, we need to ensure that it is only divisible by 1 and itself. In the given scenario, where we can pick two or fewer different digits from a set, the maximum number of digits available would be 10 (0-9).
If we pick just one digit, the resulting number would always be divisible by 1 and itself, making it not a prime number.
If we pick two different digits, there are multiple possible combinations that can be formed using those digits. However, upon examining all the possibilities, we find that none of them result in prime numbers. For example, if we pick the digits 2 and 4, we can form the numbers 24 and 42. Both of these numbers are divisible by 2, and therefore, they are not prime.
In general, when forming numbers with two or fewer different digits, the resulting numbers will have factors other than 1 and themselves, rendering them composite rather than prime.
Therefore, in this manner of selecting digits and arranging them, it is not possible to create any prime numbers.
Learn more about prime numbers here
https://brainly.com/question/145452
#SPJ11
Elijah says that 6.11212312... is a rational number. Deena disagrees and says the number isirrational Decide who is correct and what might likely cause one of them to make the error.Who is correct? What might likely cause one of them to make the error?a) Elijah is correct. Deena might think it is not showing a patternb) Deena is correct. Elijah might think it is showing a pattern.c) Both are correct. NUmbers like this are both rational and irrational.d) Nether is correct. The number cannot be rational or irrational.
for this problem we need to rememberwhat is the definition of a RATIONAL number defined as a number that canbe obtained from two integers
If we analyze the number given we can see that 6.11212312.... represent an Irrational number since this number cannot be obtained from the division of two integers
So then the best solution for this case would be:
b) Deena is correct. Elijah might think it is showing a pattern.
Write the equation for a parabola with the focus at
(-1, 4) and the equation of the directrix x = 5.
(x + 1)2 = 3(y-4)
(y-4)2 = 12(x + 1)
(y-2)2 = -3(x – 4)
(y-4)2 = –12(x - 2)
Consider this code: begin main int y=1; int x=1; printline(x ); end main what will this code print?
This code will print the value of the variable 'x', which is '1'. The 'printline()' function is used to display the value of a variable on the output screen.
Looking into the code we can see that:
1. The variable 'y' is declared and initialized with a value of '1'.
2. The variable 'x' is declared and initialized with a value of '1' as well.
3. The 'printline()' function is called and the variable 'x' is passed as an argument.
4. The 'printline()' function prints the value of 'x' on the output screen.
Since the value of 'x' is '1', the code will print '1' as the output.
In summary, the code will print the value of the variable 'x', which is '1'.
Learn more about variables:
https://brainly.com/question/28248724
#SPJ11
Jordan Michael runs a basketball camp. A group of randomly selected camp participants were asked to give their shirt size. The table below shows the results of the survey. There are
308
308308 camp participants this year.
Answer: 77
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
Gavin is selling water bottles at a baseball game to help raise money for new uniforms. Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of the bottles for $1.25 each. How much profit does Gavin make?
$
Answer: $41.50 41 dollars and 50 cents in profit
Step-by-step explanation:
First, 1.25x48=60
Second, 60-18.50=41.50
Answer:
$41.50
Step-by-step explanation:
So we know that Gavin bought 48 water bottles before the game for $18.50. We also know that he sold the water bottles for $1.25 each.
If we want to know how much profit he made, we first have to find the amount of money he received.
To find this, we need to multiply the number of water bottles by the price for each bottle;
48 × $1.25
This gives us a total of $60.
Now to find the profit, we have to subtract the amount he paid for the water bottles by the total he made;
$60 - $18.50
This means he made a profit of $41.50.
hope this makes sense! <3
what is the hcf of 54,90 and 72
Answer:
18
What is HCF?What is the Highest common factor? The biggest integer that divides all numbers is HCF, while the lowest integer that divides all numbers is LCM (Lowest common multiple).
How would we use this when finding the HCF of 54, 90, and 72?Step 1: Since 90 > 54, we apply the division lemma to 90 and 54, to get
90 = 54 x 1 + 36
Step 2: Since the reminder 54 ≠ 0, we apply division lemma to 36 and 54, to get
54 = 36 x 1 + 18
Step 3: We consider the new divisor 36 and the new remainder 18, and apply the division lemma to get
36 = 18 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 54 and 90 is 18
Notice that 18 = HCF(36,18) = HCF(54,36) = HCF(90,54) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 72 > 18, we apply the division lemma to 72 and 18, to get
72 = 18 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 18 and 72 is 18
Notice that 18 = HCF(72,18) .
What is the Euclid division algorithm?Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
what is the HCF of 54, 90, 72?HCF of 54, 90, 72 is 18 the largest number that divides all the numbers leaving a remainder zero.
How to find HCF of 54, 90, 72 using Euclid's Algorithm?For arbitrary numbers 54, 90, 72 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
Which graph shows a dilation?
The graph that shows a dilation is the first graph that shows a rectangle with an initial dilation of 4:2 and a final dilation of 8:4.
What is graph dilation?A graph is said to be dilated if the ratio of the y-axis and x-axis of the first graph is equal to the ratio of the y and x-axis in the second graph.
So, in the first graph, we can see that there is a scale factor of 4:2 and in the second graph, there is a scale factor of 8:4 which when divided gives 4:2, meaning that they have the same ratio. Thus, we can say that the selected figure exemplifies graph dilation.
Learn more about graph dilation here:
https://brainly.com/question/27907708
#SPJ1
answer the question plz and be the brainliest
Step-by-step explanation:
Maryam scores in paper 1 65% × 120
= 65/100 × 120
= 78 marks of full scores 120 marks
scores in paper 2 80% × 80
= 80/100 × 80
= 64 marks of full scores 80 marks
Pleasssss helppppppp!!!
Answer:
just find it then multiply it by 0.50 because 0.50 is 1/2 converted to a decimal and thats the scale factor
Step-by-step explanation:
What is the value of (10 – 6)2 + 6 • 2 – (3 + 2)2? A. 10 B. 3 C. –1 D. –5
Answer:
A. 10
Step-by-step explanation:
(10-6)2 + 6*2 - (3+2)2
20-12+12-6+4
8+12-10
20-10
10
The value of the expression (10 – 6)2 + 6 • 2 – (3 + 2) is 10.
Given,
(10 – 6)2 + 6 • 2 – (3 + 2) 2
We need to find the value of this expression.
What is PEMDAS rule?It is the order in which any expression is solved.
P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
Find the value of the expression.
(10 – 6)2 + 6 • 2 – (3 + 2) 2
Remove the parenthesis first.
(10 - 6) = 4
(3 + 2) = 5
Now,
= 4 x 2 + 6 x 2 - 5 x 2
Now solve the multiplication.
= 8 + 12 - 10
Now add.
= 20 - 10
= 10
The value of the expression is 10.
Learn more about finding the value of an expression using the PEMDAS rule here:
https://brainly.com/question/14982762
#SPJ2
Ayuda!!!!
Necesito una forma de exponer y explicar las propiedades de la potencia y de la radicación de las fracciones. (No se vale la que usamos comunmente)
Answer:
joe
Step-by-step explanation:
bdbdbdbsbsbsbsbsbsbsbsbsbs
Which function has a range of all real numbers greater than or equal to -4?
A. f(x) = x-4
B. f(x) = -4x
C. f(x) = (x+1)^2 - 4
D. f(x) = -|x-3|-4
Answer:
C. \(f(x)=(x+1)^2-4\)
Step-by-step explanation:
A. the graph is a straight line with slope 1. It goes up/down infinitely far so the range is all real numbers. Not A!
B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers. Not B!
D. The graph is an absolute value function y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units. So the graph starts witha "vee" shape opening up, becomes a vee opening down, then ultimately gets shifted down 4 units. The range is all real numbers less than or equal to -4.
See the attached graphs. image2 is the function in answer choice D.
Solve 2x^2 - x ≥ 15. Show your work
Answer:
x ∈ 〈-∞,-5/2]∪[3,+∞〉
Step-by-step explanation:
2x²-x-15 ≥ 0
2x²+5x-6x-15 ≥ 0
x(2x+5)-3(2x+5) ≥ 0
(2x+5)(x-3) ≥ 0
so
2x+5 ≥ 0
x-3 ≥ 0
2x+5 ≤ 0
x-3 ≤ 0
solve the equation
x ≥ -5/2
x ≥ 3
x ≤ -5/2
x ≤ 3
x ∈ [3,+∞〉
x ∈ 〈-∞,-5/2]
so x ∈ 〈-∞,-5/2]∪[3,+∞〉
The start of a quadratic sequence is shown below.
Find the nth term rule for this sequence.
4, 22, 52,
52, 94, 148,…
Answer:
6n^2 - 5n + 3
Step-by-step explanation:
To find the nth term rule for the given quadratic sequence, we need to determine the pattern or relationship between the terms. Looking at the sequence:
4, 22, 52, 52, 94, 148,...
We can observe that the first term is 4, the second term is 22 (which is 18 more than the first term), and the third term is 52 (which is 30 more than the second term).
To find the nth term rule, we will first find the differences between consecutive terms:
1st difference: 18, 30, 0, 42, ...
We notice that the 2nd difference (the differences between the differences) is constant, which suggests that the sequence follows a quadratic pattern.
2nd difference: 12, -30, 42, ...
Now, to find the nth term rule, we can use the general form of a quadratic sequence:
an = dn^2 + en + f
By substituting the values of the terms into the equation, we can find the coefficients d, e, and f.
Let's use the first three terms to form three equations:
For the 1st term (n = 1):
4 = d(1)^2 + e(1) + f
4 = d + e + f ...(1)
For the 2nd term (n = 2):
22 = d(2)^2 + e(2) + f
22 = 4d + 2e + f ...(2)
For the 3rd term (n = 3):
52 = d(3)^2 + e(3) + f
52 = 9d + 3e + f ...(3)
Solving these three equations simultaneously will give us the values of d, e, and f.
Subtracting equation (1) from equation (2):
18 = 3d + e ...(4)
Subtracting equation (1) from equation (3):
48 = 8d + 2e ...(5)
Now, subtracting equation (4) from equation (5):
30 = 5d
d = 6
Substituting the value of d into equation (4):
18 = 3(6) + e
e = -5
Substituting the value of d into equation (1):
4 = 6 + (-5) + f
f = 3
Therefore, the nth term rule for this quadratic sequence is:
an = 6n^2 - 5n + 3
classify each function into its function family based on the characteristics ovserved for the parent function (only need help on the 2nd and third question, but if i got the other ones wrong i would apprecaute if someone told me
Answer:
1. Absolute value function
2. Exponential function
3. Polynomial function (cubic)
4. Cube root function
5. Exponential function
Step-by-step explanation:
Absolute Value FunctionAn equation that contains an algebraic expression within absolute value symbols.
\(\textsf{e.g.}\quad y = |x + 9|\)
Exponential Function\(y=ab^x\)
The variable is the exponent.
A continuous function with a horizontal asymptote.
An exponential function has a fast growth or decay.
\(\textsf{e.g.}\quad y =-\left(\dfrac{1}{2}\right)^x\)
Polynomial Function\(y=a_nx^n+a_{n-1}x^{n-1}+...+a_2x^2+a_1x+a_0\)
An equation containing variables with non-negative integer powers and coefficients, that involves only the operations of addition, subtraction and multiplication.
\(\textsf{e.g.}\quad y = x^3 - 6\)
Cube Root FunctionThe inverse function of the cubic function.
A reflection of the cubic function in the line y = x.
\(\textsf{e.g.}\quad y=\sqrt[3]{x}\)
My question is ...
What is negative 297 divided by negative 45? Show your work.
Can someone help?
Answer: 6.2
Step-by-step explanation:
When you divide two negative numbers the answer will be a positive number
So, -279 ÷ -45 = (+)6.2
the height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included. which is closest to the total surface area of the new box?
The total surface area of the new box is given by the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7).
How to calculate the new total surface area of the box?To calculate the new total surface area of the box after increasing the height by 3.5 centimeters, we need to consider the dimensions of the box and how each side is affected by the increase.
Let's assume the original box has dimensions:
Length (L)
Width (W)
Height (H)
The total surface area of the original box is given by:
SA_original = 2(LW + LH + WH)
After increasing the height by 3.5 centimeters, the new height becomes H + 3.5. The other dimensions, length and width, remain the same.
The new total surface area of the box can be calculated as follows:
SA_new = 2(LW + (L(H + 3.5)) + (W(H + 3.5)))
Simplifying the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)
Therefore, the total surface area of the new box is given by the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)
To find the closest value to the total surface area of the new box, you would need to know the specific values of L, W, and H for the original box. With those values, you can substitute them into the equation to calculate the exact surface area.
Learn more about surface area
brainly.com/question/29298005
#SPJ11
if oil leaks from a tank at a rate of r(t) gallons per minute at time t, what does 120 0 r(t) dt represent?
the total amount of oil that leaks out over the entire time interval [0, 120].
integral ∫₀¹₂₀ r(t) dt represents the total amount of oil that leaks from the tank in 120 minutes.
To see why, consider the definition of an integral. If we divide the interval [0, 120] into small subintervals of width Δt, then the amount of oil that leaks out during each subinterval is approximately r(t)Δt. Summing up all these small amounts over the entire interval gives:
Σᵢ r(tᵢ) Δt
where tᵢ is the midpoint of the i-th subinterval. As we take the limit as the subinterval width goes to zero, this sum becomes the integral:
∫₀¹₂₀ r(t) dt
which represents the total amount of oil that leaks out over the entire time interval [0, 120].
To learn more about interval click here:brainly.com/question/29179332
#SPJ11
pls help i need this answer
demi has 21 baseball cards and 13 football cards she also has 19 hockey cards and 36 basketball cards how many cards does demi have in all?
Answer: 89
Step-by-step explanation:
Hello I need Help with this question ASAP PLS.
Question: The cost of 6 Apples is $1.20. What is the cost of 4 apples? State units of your answer.
Pls Help me, I'm stuck :(
-- Biruh
Answer:
$0.80
Step-by-step explanation:
Find the unit rate
1 apple costs ?
1.20/6 = cost of 1 apple
1 apple = $0.20
4 apples = $0.20 * 4
4 apples = $0.80
Which of the following is an equivalent form of the compound inequality -44 > -2x - 82-8?
A) 0-2x - 8>-44 and -2x - 82-8
B) 0-2x > -44 and -82-8
C) 0-2x -8<-44 and -2x - 85-8
D) 0-2x - 8<-44 and -2x - 82-8
Solve for x in this triangle. Round your answer to the nearest tenth. 17 х° 6
Answer:
x ≈ 70.6°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan x = \(\frac{opposite}{adjacent}\) = \(\frac{17}{6}\) , then
x = \(tan^{-1}\) ( \(\frac{17}{6}\) ) ≈ 70.6° ( to the nearest tenth )
William bought a piece of wood that is 3 feet long. He cuts it into two pieces. One piece is 14 inches long. How long is the other piece?
Answer:
The other board is 22 inches
Step-by-step explanation:
3 ft is 36 inches and 36 - 14 = 22 inches
Answer:
22 inches
Step-by-step explanation:
One foot is equal to 12 inches. Therefore, 3 feet equals 36 inches.
3 x 12 = 36
William cut the board into two separate pieces. Since one of the pieces is 14 inches, you will need to subtract 14 from the beginning amount (36 inches) to find the length of the other piece.
36 - 14 = 22 inches