Answer:
Surface Area: 200.48 yd^2
Volume: 141.2 yd^3
Step-by-step explanation:
Rectangular Prism x1 = 148.48 yd^2
Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.
Triangular Prism x2 = 52 yd^2
Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.
Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.
Now we move on to volume, which is actually more simple.
Formula of Rectangular Prisms = length x width x height
Formula of Triangular Prisms = (length x width x height) / 2
Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3
Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2
Finally add the volumes together to get your final volume.
107.52 + 16.8 + 16.8 = 141.2 yd^3
Sorry if this is long xd
-5/3 x(-1/8)weurEzzrtx
Answer:
-5/3 x (-1/8 )= 5/24 = 0.2083333
Step-by-step explanation:
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
Answer:
B - The correct answer is graph B
Step-by-step explanation:
Answer:
the correct choice is graph B. (see attachment below)
Simplify
(2 Points)
2a xa x 3a + b x 45
Answer:
[tex]6a^3+45b[/tex]
Step-by-step explanation:
[tex]2a\times a\times 3a+b\times 45[/tex]
[tex]2a\times 1a\times 3a+b\times 45[/tex]
[tex]2\times 1\times 3 \times a \times a \times a+b\times 45[/tex]
[tex]6a^3+b \times45[/tex]
[tex]=6a^3+45b[/tex]
Answer:
6a^3 + 45b
Step-by-step explanation:
=2a × a × 3a + b × 45
=2a × 1a × 3a + b × 45
=2 × 1 × 3 × a × a × a + b × 45
=6a^3 + b × 45
= 6a^3 + 45b
Find any 6 ratinol numbers between -5/6 and 5/8
Answer:
There is a variety of answers. you will find an example below
Step-by-step explanation:
To find the rational numbers between 2 fractions/rational numbers, we have to find the LCM of the denominator, which would increase the value of the numerator. This way you will have more rational numbers between the two.
- 5/6 = -40 / 48
5 / 8 = 30 / 48
Now, we can notice that there is a difference of 70 between the 2. this means you may choose 6 out of these. Here is an example(some of them are simplified)
5/16, 5/8, 7/48 , 1/6 , 2/6, -1/2.
Hope this helps
1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.
Answer:
183 meters
Step-by-step explanation:
A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:
[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]
The actual length of the Sydney Opera House is 183 m.
Please answer I need help no rush.
Answer:
12 divided by -6
Step-by-step explanation:
12÷(-6) (3) + (-2)
PEMDAS
P There are no operations inside the parentheses
E There are no exponents
MD Multiply and divide from left to right
12 divided by -6 is the first from left to right
Factor 12x−54 using the GCF.
Answer:
6(2x-9)
Step-by-step explanation:
The two numbers in question are both even, so we can see that we can pull out 2, giving us:
2(6x -27)
Looking at this, we can see that we can no longer pull out 2, but we can pull out 3, giving us:
6(2x-9)
This can be simplified no further, so this gives us the final answer, where the GCF is 6.
3w + 4u - 6
Simplify
Step-by-step explanation:
There are many different ways to simplify this. It could be
3(w-2)+4u , 2(2u-3)+3w , or something else.
Stefani took a science test. she answered 42 questions correctly. There were 50 questions on the test. What percent of the questions did she get right?
Answer:
She get 84% right
Step-by-step explanation:
42 x 2 = 84
50 x 2 = 100
Answer:
84%
this is the picture of how I solved it.
hope you understand.
Write the recursive function for the following sequence. 0, 4, 8, 12,
if MNL is congruent to TUS, then NL is congruent to ?
Answer:
NL is congruent to US.
Answer:
d. NL ≅US
Step-by-step explanation:
ΔMNL ≅ ΔTUS
follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS
2⁄5 + 3⁄7 + 5⁄6 = is what?
Answer:1.661905 or 349/210 Or 1 139/210
Step-by-step explanation:
2⁄5 + 3⁄7 + 5⁄6
29/35+5/6
349/210
Solve 5 + x - 14 = x - 7
Answer:
No solution
Step-by-step explanation:
5+x-14=x-7
-9+x=x-7
2+x=x
2=0
No solution
Hey so im really confused on how to rewrite problems into radical form, so I was wondering if anyone would be able to show me how to do It step by step?
Answer:
Step-by-step explanation:
Ok so, I'll try to make this explanation super simple for you.
The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.
Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?
Take p^4/5. The answer will be 5√(p^4).
I hope this gives you a clear understanding.
Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.
Which statement must be true about the diagram?
1. Point K is a midpoint of Line segment J L.
2. mAngleJKN = One-halfmAngleJKM
3. Ray KM is an angle bisector of AngleNKL.
4. JK = One-halfKL
Answer:
Ray KM is an angle bisector of AngleNKL
Step-by-step explanation:
Answer:
Ray KM is an angle bisector of AngleNKL
Step-by-step explanation:
brainlist???????????
I’ll mark you brainliest help!!! Which function is increasing?
Answer:
the answer is D. have a nice day :)
Lakesha is taking three of her friends to see the latest movie. Each ticket is $5.50, and she is paying for all four tickets. How much money does Lakesha need to bring to pay for all of the tickets? A. $16.50 B. $22.00 C. $49.50 D. $55.00
Answer: $22
Step-by-step explanation:
$5.50 * 4 = 22
Answer:
B. $22.00
Step-by-step explanation:
The expression you need to set up is 5.5 times 4, since she needs to pay 4 tickets and each is $5.50. After you multiply, you should get 22, which is the answer.
What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds
Answer:
2 and three-fourthsStep-by-step explanation:
Given the expression [tex]\frac{11}{12}/\frac{1}{3}[/tex], the equivalent expression can be gotten as shown;
[tex]= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}[/tex]
2 and three-fourth therefore gives the required expression
Answer:
2 and three-fourths
Step-by-step explanation:
Given the expression , the equivalent expression can be gotten as shown;
Step-by-step explanation:
Which is equivalent to 3 square root of 8 1/4 x
Answer:
3
√
33
x
2
Step-by-step explanation:
Simplify
(Something is wrong with my keyboard hopefully you can put this together I'm sorry)
A plumber charges $70 per hour plus $40 for the call. What does he charge for 4 hours of work? Use x to represent the hours of work.
Answer:
Step-by-step explanation:
70x4 is 280 plus 40 is 320.
Answer:
$320
Step-by-step explanation:
(4 x $70) + $40 is the equation
$280 + $40 = $320
$320
5 Write the first five terms of the sequence with nth term.
a 4n
b 2n+1
c 3n -2
d 1/2n +1
e 20 -5n
f -2n +3
Answer:
its a lot u'll see at the end
Step-by-step explanation:
a) 4n = 4,8,12,16,20
b) 2n+1= 3,5,7,9,11
c) 3n-2= 1,4,7,10,13
d) 1÷2n+1= [tex]\frac{3}{2}[/tex], [tex]\frac{5}{4} ,\frac{7}{6} ,\frac{9}{8} ,\frac{11}{10} ,[/tex]
e) 20-5n= 15,10,5,0,-5
f) -2n+3= 1,-1,-3,-5,-7
took me a while hope it is helpful
Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$4
Step-by-step explanation:
Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!
Can someone pls help me with this?
Please help me (this is one questionn)
Answer:
Below.
Step-by-step explanation:
Reading off the graph:
y-intercept = (0, 2.5)
x-intercept = (3.5, 0)
a factor of 30 is chosen at random, what is the probability that the number has 2 digits?
Answer:
3/8
Step-by-step explanation:
Let's first start by figuring out all the factors of 30.
They are as follows: 1, 2, 3, 5, 6, 10, 15, 30
30 has 8 factors in total.
3 of the factors have 2 digits.
Probability is number of desired outcomes/number of total outcomes.
We have 3 desired outcomes and 8 total outcomes.
Therefore, the probability that the factor chosen at random will have 2 digits is 3/8.
What is the measure of the supplementary angle of the 65˚ angle?
A.50˚
B.40˚
C.130˚
D.310˚
Answer:
115
Step-by-step explanation:
When two angles are supplementary, their measures must add up to 180 degrees. Therefore, if we call the other angle x:
x+65=180
x=180-65=115 degrees
Hope this helps!
Answer:
None of them
Step-by-step explanation:
Supplementary angles have 180 degrees
50+65=115
40+65=105
130+65=185
310+65=375
fully Factorise 7m^2 + 13m
Answer:
[tex]m(7m + 13)[/tex]
Step-by-step explanation:
[tex]7m {}^{2} + 13m \\ m(7m + 13)[/tex]
Solve the equation 2x^2 – 3x – 5 =
10x to the nearest tenth.
Answer:
Step-by-step explanation:
Using this figure A’ is the______Of A.
Answer:
Reflection
Step-by-step explanation:
Figure A' is the reflection of A as it is reflected from A'
What is the domain of this function. (Could someone explain it too? I wanna be able to do it myself as well)
[tex]answer \\ = - 2 , 2 ,3 , 4 \\ explanation \\ let \: r \: be \: a \: relation \: from \: a \: to \: b. \: then \: \\ the \: set \: of \: first \: components \: or \: the \\ set \: of \: elements \: of \: a \: are \: called \\ domain \: and \: the \: set \: of \: second \\ components \: or \: the \: set \: of \: elements \\ of \: b \: are \: called \: the \: range. \\ hope \: it \: helps[/tex]