Answers
To find the volume of a triangular prism:
⇒ necessary to know the formula
[tex]Volume = (Area-of-Triangular- base)*(length)[/tex]
Let's first find the area of the triangular base:
⇒the formula for the finding the area of a triangle is ⇒ [tex]\frac{1}{2}bh[/tex]
b: length of base --> 3mmh: length of height: 6mmArea of the triangle is [tex]\frac{1}{2}*3*6=3*3=9[/tex]
Since the area of the triangular base is 9 and the length is 5.22
⇒ the volume is:
[tex]Volume = 9 * 5.22=46.98mm^3[/tex]
When the volume is rounded to the nearest tenth, the volume is 47.0 [tex]mm^3[/tex]
Hope that helps!
Related Questions
50 points+ Brainliest PLEASE SHOW WORK!!!!
(i can only give brainliest if at least 2 people answer)
Answers
Answer:
here
Step-by-step explanation:
we can do it by using the formula like
mean; efx÷n
median =n+1÷2
mode =which is more
range=highest-smallest
Answer:
Step-by-stwe can do it by using the formula like
mean; efx÷n
median =n+1÷2
mode =which is more
range=highest-smallestep explanation:
Which expression is equivalent to -8(x+2)-(x+4)
Answers
Answer:
-8x+-16-(-8x)+(-32)
Step-by-step explanation:
Evaluate this:
[tex]\displaystyle\rm\int_0^\frac{\pi}{2}\sqrt{\sin x}\ dx \times \int_0^\frac{\pi}{2}\frac{1}{\sqrt{\sin x}}\ dx[/tex]
Only elementary methods are allowed.
Answers
The first integral has a well-known beta function representation, so the second one should too. The beta function itself is defined as
[tex]B(x,y) = \displaystyle \int_0^1 t^{x-1} (1-t)^{y-1} \, dt[/tex]
and satisfies the identity
[tex]\displaystyle B(x,y) = \frac{\Gamma(x) \Gamma(y)}{\Gamma(x+y)}[/tex]
Later on, we'll also use the so-called reflection formula for the gamma function; for non-integer z,
[tex]\Gamma(z) \Gamma(1-z) = \dfrac{\pi}{\sin(\pi z)}[/tex]
as well as the identity
[tex]\dfrac{\Gamma(z+1)}{\Gamma(z)} = z[/tex]
Replace [tex]x\to\sin^{-1}(x)[/tex] in both integrals, so that
[tex]\displaystyle \int_0^{\frac\pi2} \sqrt{\sin(x)} \, dx = \int_0^1 \frac{\sqrt x}{\sqrt{1-x^2}} \, dx[/tex]
[tex]\displaystyle \int_0^{\frac\pi2} \frac{dx}{\sqrt{\sin(x)}} = \int_0^1 \frac{dx}{\sqrt x \sqrt{1-x^2}}[/tex]
Now replace [tex]x\to\sqrt x[/tex] :
[tex]\displaystyle \int_0^1 \frac{\sqrt x}{\sqrt{1-x^2}} \, dx = \frac12 \int_0^1 x^{-\frac14} (1-x)^{-\frac12} \, dx = \frac12 B\left(\frac34, \frac12\right) [/tex]
[tex]\displaystyle \int_0^1 \frac{dx}{\sqrt x \sqrt{1-x^2}} = \frac12 \int_0^1 x^{-\frac34} (1-x)^{-\frac12} \, dx = \frac12 B\left(\frac14, \frac12\right)[/tex]
So, the original integral (which I condense here to a double integral) is
[tex]\displaystyle \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sqrt{\frac{\sin(x)}{\sin(y)}} \, dx \, dy = \frac14 B\left(\frac34, \frac12\right) B\left(\frac14, \frac12\right)[/tex]
[tex]\displaystyle = \frac14 \frac{\Gamma\left(\frac14\right) \Gamma\left(\frac34\right) \Gamma\left(\frac12\right)^2}{\Gamma\left(\frac54\right) \Gamma\left(\frac34\right)}[/tex]
[tex]\displaystyle = \frac14 \frac{\Gamma\left(\frac14\right) \Gamma\left(\frac34\right) \Gamma\left(\frac12\right)^2}{\frac14 \Gamma\left(\frac14\right) \Gamma\left(\frac34\right)}[/tex]
[tex]\displaystyle = \Gamma\left(\frac12\right)^2 = \frac{\pi}{\sin\left(\frac\pi2\right)} = \boxed{\pi}[/tex]
please show your work, tysm :D
~giving brainliest!~
Answers
Answer:
1/16th
Step-by-step explanation:
You can write this problem as a function of time.
Let x be the amount of acetaminophen that you start off with.
Let n be the amount of 2.5 hour intervals that have passed
x*0.5^n
The reason this function works is because with each 2.5 hour interval, you multiply the total product by another 1/2.
Plugging in 4(because 4 2.5 hour intervals in 10 hours), you get:
x*0.5^4,
which is x/16.
This shows that 1/16th of the acetaminophen is left in the body after 10 hours.
I will give you 100 points and a Brainliest if you can help me with this question.
Complete the calculations so that each shows the correct difference.
Answers
Answer:
0.671
0.985
0.137
Step-by-step explanation:
ABove is answer
Answer:
0.671
0.985
0.137
Step-by-step explanation:
Now you could give the person above me brainliest
what is this number? 1,010,020,030,040,050,060,070,080,090,010,020,030,040,050,060,070,080,090,010,020,030,040,050,060,070,080,090,010,020,030,040,050 WILL MARK BRAINLIEST
Answers
Answer:
that isn't a number
Step-by-step explanation:
What formula can we use to find the surface area of a rectangular prism?
Answers
Answer:
○ [tex]\displaystyle SA = 2lw + 2lh + 2wh[/tex]
Explanation:
A rectangle has four right angles, including two pairs of congruent edges, only containing two dimensions – height and length. Therefore, going three-dimensional, a rectangular prism has three dimensions – width, height, length. With this information, you should know what the answer is.
I am joyous to assist you at any time.
1
C
2
3
✓4
5
7
8
✓ 10
A car travels at an average speed of 56 miles per hour. How many miles does it travel in 4 hours and 45 minutes?
mites
x
5
?
I
Answers
Answer:
266 miles
Step-by-step explanation:
Given statement
4 hours and 45 minutesClearly, 45 is 3/4th of an hour. Thus, this statement can also be written as:
⇒ 4 hours and 3(Hour)/4 minutes⇒ 4 hours + 3(Hour)/4 minutes⇒ 4 hours + 0.75(Hour)⇒ 4.75 hoursWe are given that:
56 miles per hourWhen we convert this statement into an equation, we get:
⇒ 56 miles = 1 hourMultiply both sides by 4.75 to obtain the distance in 4.75 hours.
⇒ 56 × 4.75 miles = 1 hour × 4.75⇒ 266 miles = 4.75 hoursFind the greatest common factor of 8 and 24.
Answers
Answer:
8
Step-by-step explanation:
Factors of 8: 1, 2, 4, 8
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
They do share a few factors but the greatest one shared between the two is 8
what is the inverse of f(x)=2(3^x)
Answers
If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex], then by definition
[tex]f\left(f^{-1}(x)\right) = x[/tex]
so that
[tex]2 \times 3^{f^{-1}(x)} = x[/tex]
Solve for [tex]f^{-1}(x)[/tex] :
[tex]3^{f^{-1}(x)} = \dfrac x2[/tex]
[tex]\log_3\left(3^{f^{-1}(x)}\right) = \log_3\left(\dfrac x2\right)[/tex]
[tex]f^{-1}(x) \log_3(3) = \log_3\left(\dfrac x2\right)[/tex]
[tex]\boxed{f^{-1}(x) = \log_3\left(\dfrac x2\right)}[/tex]
Which choice is the solution to the inequality below?
8x < 24
O A. x< 24
O B. x> 24
C. x>3
O D. x<3
Answers
Answer:
D
Step-by-step explanation:
8x < 24
divide both sides by the coefficient of x
8x/8 < 24/8
x < 3
Simplify
2 × (3 – 1) + 3
Answers
Answer:
If you put this in the calculator, the answer would be 7
1
N
3
5
6
B
10
56:0
What is the range of the function on the graph?
5
14
O all real numbers
O all real numbers less than or equal to -1
all real numbers less than or equal to 3
© all real numbers less than or equal to 0
-5-4-3-2-14
1 2 3 4 5 X
I
-2
-3
-4
-5
Answers
Answer:
pack you
pa brainliwa po
Solve for 2. Round to the nearest tenth, if necessary.
B
U
67
T
x
142°
Answers
Tan(angle) = opposite/ adjacent
tan(42) = 67/x
x =67/tan(42)
X = 74.411
rounded to nearest tenth : x = 74.4
Looking for the best answer
Answers
Answer:
4x - 5 - 3
Step-by-step explanation:
the 3rd is the best answer i think
PLEASE HELP PLEASE HELP
Answers
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The Square Pyramid Has 5 Vertices.
:)
How to graph the equation y=-x^2+6x-5 on the accompanying set of axes?
Answers
Answer: See attached
Step-by-step explanation:
Given:
y = -x² + 6x - 5
Since this is a quadratic function, we will have a parabola.
Because our x² value is negative, this parabola will be a "frowny face" instead of a "smiley face" like the parent function.
The - 5 means we shift the function 5 units to the right from the parent function.
See attached for our graph.
What parent function am I mentioning?
The parent function of y = -x² + 6x - 5 is y = x²
Find the mean of the data in the dot plot below. Make sure to show your work and explain the steps you took in solving the problem. please help I took a picture I just need the problem to be explained
Answers
Answer: 6.
Step-by-step explanation: To find the mean, the first step is to add all the data together. Here's how it should look:
2 + 3 + 6 + 6 + 7 + 8 + 8 + 8 = 48.
Next, you need to divide whatever you get after adding the data by how many numbers there are for your data. In this case, 48 was the answer when we added all the data. In total, you have 8 numbers in your data, so you need to divide 8 from 48. It should look like this:
48 / 8 = 6.
Therefore, the mean for this data set is 6.
Have a great day! :)
i would really like some help, factoring trinomials if you want an extra 50-100 points you could help with a previous question on my profile lol
Answers
Answer:
[tex]g) \left(5x-2\right)\left(3x+2\right)[/tex]
[tex]h)2\left(8a-9\right)\left(a-2\right)[/tex]
[tex]i)3\left(21n^2+42n+16\right)[/tex]
Step-by-step explanation:
Starting with g) [tex]15^2+4x-4[/tex]
Break the expression into group
[tex]=\left(15x^2-6x\right)+\left(10x-4\right)[/tex]
Now, Factor out [tex]3x[/tex] from [tex]15x^2-6x[/tex] which is now is [tex]3x(5x-2)[/tex]
Next, Facotr out [tex]2[/tex] from [tex]10x-4[/tex] which is now is [tex]2(5x-2)[/tex]
Thus,
[tex]=3x\left(5x-2\right)+2\left(5x-2\right)[/tex]
Factor common term 5x -2
[tex]\left(5x-2\right)\left(3x+2\right)[/tex]
-------------------------------------------------------------------------------------------------------------
Next we have [tex]h)16a^2-50a+36[/tex]
Factor out common term thus we have [tex]2(8a^2-25a+18)[/tex]
Factor again: [tex]8a^2-25a+18[/tex] now turn into [tex](8a-9)(a-2)[/tex]
[tex]=2\left(8a-9\right)\left(a-2\right)[/tex]
-------------------------------------------------------------------------------------------------------------
Lastly we have [tex]i)63n^2+126n+48[/tex]
Rewrite the following:
63 as 3 * 21
126 as 2 * 42
48 as 3 * 16
[tex]63n^2+126n+48[/tex]
Now cut out common term:
[tex]=3\left(21n^2+42n+16\right)[/tex]
-------------------------------------------------------------------------------------------------------------
~lenvy~
Answer:
(g) [tex](5x-2)(3x+2)[/tex]
(h) [tex](16a-18)(a-2)[/tex]
(i) [tex]3(21n^2+42n+16)[/tex]
Step-by-step explanation:
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers ([tex]d[/tex] and [tex]e[/tex]) that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]Rewrite [tex]b[/tex] as the sum of these 2 numbers: [tex]d + e = b[/tex]Factorize the first two terms and the last two terms separately, then factor out the comment term.Question (g)
[tex]15x^2+4x-4[/tex]
[tex]\implies ac=15 \cdot -4=-60[/tex]
[tex]\implies d+e=4[/tex]
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Therefore, the two numbers (d and e) that multiply to -60 and sum to 4 are:
10 and -6
Rewrite [tex]4x[/tex] as [tex]+10x-6x[/tex]:
[tex]\implies 15x^2+10x-6x-4[/tex]
Factories first two terms and last two terms separately:
[tex]\implies 5x(3x+2)-2(3x+2)[/tex]
Factor out common term [tex](3x+2)[/tex]:
[tex]\implies (5x-2)(3x+2)[/tex]
Question (h)
[tex]16a^2-50a+36[/tex]
[tex]\implies ac=16 \cdot 36=576[/tex]
[tex]\implies d+e=-50[/tex]
Factors of 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Therefore, the two numbers that multiply to 576 and sum to -50 are:
-32 and -18
Rewrite [tex]-50a[/tex] as [tex]-32a-18a[/tex]:
[tex]\implies 16a^2-32a-18a+36[/tex]
Factories first two terms and last two terms separately:
[tex]\implies 16a(a-2)-18(a-2)[/tex]
Factor out common term [tex](a-2)[/tex]:
[tex]\implies (16a-18)(a-2)[/tex]
Question (i)
[tex]63n^2+126n+48[/tex]
Factor out common term 3:
[tex]\implies 3(21n^2+42n+16)[/tex]
This cannot be factored any further.
Solve the system of equations.
Answers
Answer:
3x+2y=24
Y=3
Substitute in the equation
3x+2(3)=24
3x+6=24
3x=24-6
3x=18
X=18/3
X=6
0.7 is equivalent to what fraction
Answers
Answer:
7/10
Step-by-step explanation:
Fractional form of 0.7 is 7/10.
Which real-world scenario involves a right triangle?
Answers
Answer:
There are a few different scenarios
Step-by-step explanation:
Bathroom Tiles,Kitchen flooringTriangle Backsplash ( tile behind your sink in kitchenDrywall work if you need right edges, you will need a right triangleFinally any sort of contracting and Deck workFROM- THE GENIUS ANSWERER
Ellie left her house and drove to the store. She stopped and went inside. From
there, she drove in the same direction until she got to the bank. She stopped
and went inside the bank. Then she drove home. The graph below shows the
number of blocks away from home Ellie is x minutes after she left her house,
until she got back home.
Answers
Answer:
Ellie spent 21 minutes after she left her house until she got back home
Find the arc length of the partial circle.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
Answers
Explanation:
A full circle of radius r has a circumference of 2pi*r which is the perimeter aka distance around the circle's edge.
We divide that by 4 to get the arc length of the quarter circle and we'd get to (2pi*r)/4 = 0.5pi*r
Plug in r = 1 and pi = 3.14
0.5*pi*r = 0.5*3.14*1 = 1.57
Look at this rectangle. Find the value of u.
Answers
Answer:
1 inch
Step-by-step explanation:
We know that opposite sides of a rectangle are equal to each other.
Given that,
Perimeter = 30 in
Therefore,
u + u + 14 + 14 = 30
2u + 28 = 30
2u = 30 - 28
2u = 2
Divide both sides by 2.
u = 1 in
On Monday the postman brought two checks, one for $56.00 and one for $10.00. Assuming you
have no other money in the world, what is your financial situation after this delivery?
Answers
Answer: $66.00
Step-by-step explanation:
56 + 10 = 66
A college student takes the same number of credits each semester. She had 8 credits when she started, and after 7 semesters, she had 92 credits.
Which of these expresses the rate at which she is earning credits
Answers
Answer:
12 credits per semester
Step-by-step explanation:
she has 92 in the end but she started off with 8 so your first step is to subtract 8 from 92 which gives you 84 once you get 84 you divide that by 12 you get 7 which means she got 12 credits in each of her 7 semeters
What is the area of this trapezoid?
Answers
Answer:
The area is [tex]80[/tex]
Step-by-step explanation:
rectangle in the middle; 24
both triangles on the side; 56
In total; 80
a 8 1/2 foot board Is cut Into 2 1/2 foot lengths. how many sections will you have
Answers
Answer:
3 whole but 3.4 as a decimal
Step-by-step explanation:
It took Theo 18 minutes to count his cards and he finished at 4:45
p.m. What time did Theo start counting?
Answers
4:27
Step-by-step explanation:
just subtract 45 and 18. common sense