The volume of the triangular prism in the diagram is 10.5 in³
Calculating the volume of a triangular prismFrom the question, we are to calculate the volume of the the given prism.
The given prism is a triangular prism.
Volume of a triangular prism = Area of triangle × Height of prism
Thus,
Volume of the triangular prism = 1/2 × Base of triangle × Height of triangle × Height of prism
From the given diagram,
Base of triangle = 2 in
Height of triangle = 1.5 in
Height of prism = 7 in
Volume of the triangular prism = 1/2 × 2 in × 1.5 in × 7 in
Volume of the triangular prism = 10.5 in³
Hence,
Volume of the triangular prism is 10.5 in³
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Which of the following statements is NOT true?
yt
The slope of Ac is
c
The slope of AB is
different than the
slope of BC.
B
2
-2
A
The ratios of the rise to
the run for the triangles
are equivalent.
AB has the same slope
as AC.
Answer:
2nd option if NOT true
Step-by-step explanation:
AB to BC to AC all have a slope of 2/3
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
Write the recursive rule for the 5th term of the sequence: -7, -3, 1, 5, 9
Answer:
Step-by-step explanation:
Let \(x_{n}\) represent the nth term in the sequence. Then \(x_{n-1}\) represents the previous term
The first term, \(x_{1}\) = -7
Each consecutive term is obtained by adding 4 to the previous term.
So the recursive relation is
\(\left \{ {{x_{1}= -7} \atop {x_{n}= x_{n-1} + 4}} \right.\)
Can anyone help with problem 5?
Answer:
Other leg: 25 cm
Hypotenuse: 25√2 cm
Step-by-step explanation:
Hi there!
We are given a 45°-45°-90° triangle, and one leg (a side that makes up the right triangle) measures 25 cm
We want to find the length of the other sides
First, let's find the length of the other leg
A 45°-45°90° triangle is actually an isosceles triangle, and if it was to be drawn, the base angles are 45 and 45 degrees
That means the legs of the right triangle are actually the legs in the isosceles triangle as well
So the other leg is also 25 cm
Now, let's find the length of the hypotenuse, which is the side OPPOSITE from the 90° angle
You can solve for the other side using Pythagorean Theorem if you wish, however, there is a shortcut to finding the hypotenuse
In a 45°-45°-90° triangle, if the length of the legs are a, then the hypotenuse is a√2 cm
So that means the length of the hypotenuse in this case is 25√2 cm
Hope this helps!
Find an equivalent fraction 1/8 = x/56
Answer: I think it’s 1/8 = 7/56
The value of an equivalent fraction is,
⇒ 1/8 = 7/56
We have to given that,
A fraction to solve,
⇒ 1/8 = x/56
Now, We can simplify as,
⇒ 1/8 = x/56
Cross multiplication,
⇒ 56 = 8x
⇒ x = 56/8
⇒ x = 7
Therefore, The value of an equivalent fraction is,
⇒ 1/8 = 7/56
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The basic rate pay is K8.20. If the overtime is paid at time-and-a-quarter, what is the overtime rate of pay?
The overtime rate of pay is K10.25.
The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.
To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.
By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.
Therefore, the overtime rate of pay is K10.25.
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What is –6 9/16 written as a decimal?
Answer:
6.5625
Step-by-step explanation:
Welcome :)
Answer:
-6.5625
Step-by-step explanation:
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
what is the slope of the line?
Answer:
-1
Step-by-step explanation:
the slope of the line is given by the equation m=(y2-y1)/(x2-x1)
here the line passes with the coordinate (-2,0),(0,-2)
m=(-2-0)/(0-(-2))
= -2/2
= -1
The height of a rectangular box is 7 ft. The length is 1 ft longer than thrice the width x. The volume is 798 ft³.
(a) Write an equation in terms of x that represents the given relationship.
The equation is
The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)
Let's break down the information given:
Height of the rectangular box = 7 ft
Length of the rectangular box = 1 ft longer than thrice the width (x)
Volume of the rectangular box = 798 ft³
To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.
The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.
Given that the height is 7 ft, we can substitute this value into the equation.
Volume = (Length) * (Width) * (7)
Now, let's focus on the length. It is described as 1 ft longer than thrice the width.
Length = 1 + (3x)
Substituting this value into the equation, we have:
Volume = (1 + (3x)) * (Width) * (7)
Since the volume is given as 798 ft³, we can set up the equation as follows:
798 = (1 + (3x)) * (Width) * 7
Simplifying further, we get:
798 = 7 * (1 + 3x) * (Width)
Dividing both sides of the equation by 7, we have:
114 = (1 + 3x) * (Width)
Therefore, the equation in terms of x that represents the given relationship is:
114 = (1 + 3x) * (Width)
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Leo is testing different types of greenhouse material to determine which type is most effective for growing strawberry bushes. He purchases two different brands of tarps from a local store. Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. He waters both areas daily. At the end of the study, Leo concludes brand A is more effective in growing strawberry bushes. Is Leo's conclusion valid? please explain how and why so I can understand
For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.
What is bias?Bias is an error due to sampling or testing by selecting or preferring one outcome over others.
Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. This shows that Leo is bias.
For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.
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Answer:
His conclusion is not valid.
He should have put both tarps over the area of the yard that receives full sunlight. So that the experiment can be valid.
Step-by-step explanation:
What is the Mean and the Median of this set of test scores?
{76, 82, 54, 100, 100, 82, 100, 93, 100, 93}
Answer:
Mean: 88
Median:93
Step-by-step explanation:
To find the mean, add all the numbers to get the sum, then divide by how many numbers there are.
Put the numbers from smallest to largest, then find the number in the middle if there’s an odd amount of numbers. If there is an even amount of numbers, find the two in the middle, add them together, and divide by 2 to get the median.
Mean: 76+82+54+100+100+82+100+93+100+93 = 880/10 = 88
Median: 54, 76, 82, 82, 93, 93, 100, 100, 100, 100
There is an even amount of numbers (10)
The two in the middle are 93 and 93
93+93=186/2=93
I need help I haven’t been here a week and I don’t understand my homework
Solve either
Answer: you need to add
Step-by-step explanation: I would ask your teacher to help you understand the lesson.
Someone please help ASAP
Answer:
PQ=20.7
OM=28
m<PMN=81 degrees
m<NOQ=22 degrees
Step-by-step explanation:
what is the slope and y intercept of b=7.11a? pls and ty
Five years older than Mukhari. Find the value of the expression if Mukhari is 43 years old.
Which statement best explains if the graph correctly represents the proportional relationship y = −2x? A coordinate plane is shown. Points are graphed at negative 2 and 4 and negative 1 and 2. The points are joined by a line. It does not, the points shown would not be part of y = −2x. It does not, proportions cannot be represented on a graph. It does, all proportions can be shown on a graph of this line. It does, the points shown on the line would be part of y = −2x.
Answer:
d. It does, the points shown on the line would be part of y = −2x.
is the answer let me know if this helped
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
hope i helped
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
4. Which point is incorrectly labeled? Explain. A(0.1) B(0.5) C(0.75)
Answer:
C
Step-by-step explanation:
It should be .7. Count each mark as .1 and this should be clear.
Sean spelled 13 out of 20 words correctly on his spelling test. Write his test score as a percent.
Your answer:
Answer:
65%
Step-by-step explanation:
I hope this helps. (:
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
For one month diera calculated her home towns average high temperature
The answer for this question is Celsius for Fahrenheit.
The Formula for Converting TemperatureTo convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.
(50°F - 32) x.5556 = 10°C, for instance.
When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.
For instance, (30°C x 1.8) + 32 = 86°F'
Here are two useful charts that translate between F and C as well as between C and F.
How to calculate her home towns average high temperature?The temperature of f degrees Fahrenheit converted to degree Celsius.
(( f)=5/9 (f-32)
represent the temperature of f degrees Fahrenheit converted to degree Celsius.
The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.
So that means if the temperature is in Fahrenheit it will be converted to Celsius.
So that means the C(F) represents the Celsius temperature.
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Complete Question -
For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?
Keiko, Dale, and Tony sent a total of 95 text messages during the weekend. Dale sent 7 fewer messages than Kelko. Tony sent 4 times as many messages as
Keiko. How many messages did they each send?
Answer:
Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages
Step-by-step explanation:
Let x represent the number of messages that Keiko sent.
Since Dale sent 7 less than Keiko, his number can be represented by x - 7
Since Tony sent 4 times as many as Keiko, his number can be represented by 4x
Using these variables, create an equation:
(x) + (x - 7) + (4x) = 95
Add like terms and solve for x:
6x - 7 = 95
6x = 102
x = 17
So, Keiko sent 17 messages.
Subtract 7 from this to find how many Dale sent:
17 - 7
= 10
Multiply it by 4 to find how many Tony sent:
17(4)
= 68
So, Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages
f f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?
37
97
126
606
Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent to f(g(10)) is, 37
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
f(x) = x² + 1
g(x) = x – 4
f(g(10)) = ?
f(g(x)) = (x - 4)² + 1
= x² - 8x + 16 +1
= x² - 8x + 17
f(g(10)) = 10² - 8×10 + 17
= 100 - 80 + 17
= 37
The value of f(g(10)) is 37
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Select the correct answer. Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?
A. a
B. b
C. c
D. d
Answer:
D
Step-by-step explanation:
the 2 lines intersect at point D (1, 1 )
What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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The question what function matches the graph?
A) linear
B) exponential
C)Geometric
D)Quadratic
10.
A recipe calls for of a cup of milk for 29 cookies. How many cups of milk are
needed to make 87 cookies?
The required number of cup of milk required to make 87 cookies.
What is recipe calls?While you're discussing a recipe, you can make sense of what fixings are required by talking about that the recipe "calls for ___". For instance: It calls for olive oil.
According to question:A recipe calls for of a cup of milk for 29 cookies.
It means we need 29 cookies for one cup of milk,
To find number of cup need to make 87 cookies.
Then,
29 cookies = one cup
one cookie = one cup/29
87 cookies = 87/29 cup of milk
3 cup of milk
Thus, there are 3 cup of milk required.
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The shallow end of the school pool is 4 feet deep. The deep end of the pool is 8 1/2 feet deep. How much deeper is the deep end than the shallow end
Answer:
4 and a half feet
Step-by-step explanation:
pls give brainliest cayse im so intelligent
help plz!!!! 30 points!!!!!!!!!! i will mark brainliest for who answers first! anveer bought 0.7 pounds of sliced ham at his local deli. If the deli charged $6.79 per pound, how much did Tanveer pay? A. $2.04 B. $4.75 C. $7.49 D. $9.70
Answer:
B
Step-by-step explanation:
\(6.79 \times 0.7\)
\(=4.753\)
Answer:
The correct answer would be $4.75
Step-by-step explanation:
6.79 × 0.7
=$4.75
Hope that was helpful.Thank you!!!