Answers
Given:
The height of the triangular prism is 15 cm.
The side lengths of the base are 3 cm, 4 cm and 5 cm.
To find:
The lateral surface area of the prism.
Solution:
The lateral surface area of the prism is:
[tex]LSA=Ph[/tex]
Where, P is the perimeter of base and h is the height of the prism.
We know that the perimeter of base is the sum of all sides of the base.
The perimeter of the prism is (3+4+5) cm and the height of the prism is 15 cm.
So, the lateral surface area of the prism is:
[tex]LSA=(3+4+5)\times 15[/tex]
[tex]LSA=(12)\times 15[/tex]
[tex]LSA=180[/tex]
Therefore, the lateral surface area of the prism is 180 square cm.
Related Questions
what are m4 and m1.............................................
Answers
Answer:
m<1 = 136
m<4 = 44
Step-by-step explanation:
Exterior angle thm:
<2 + <3 = <4
4x + 2 + 5x - 3 = 8x + 4
9x - 1 = 8x + 4
9x - 8x = 4 + 1
x = 5
m<4:
8x + 4
8(5) + 4
40 + 4
44
m<1 and m<4 are supplementary (they add up to 180) so:
m<1 + m<4 = 180
m<1 + 44 = 180
m<1 = 136
Help please asap tysm! 10 brainly points! Will mark brainliest if you put in a random answer you will be reported! Tysm! <3 Need this asap please tysm!
Answers
Answer:
The surface area of the prism is 276 in.²
If you are also looking for the volume of the prism, it is 280.
Step-by-step explanation:
It's hard to find the surface area and the volume of the prism if you're just looking at the net of the 3D shape. There are some unnecessary measurements that will definitely throw you off. I drew a sample prism so it's easier to solve. Check the linked image.
The formula in finding the surface area of a prism is SA = 2(wl + hl + hw), where w is for width, l is for length, and h is for height. The point of all of these calculations is to find the area of 3 different faces of the prism and then you add up all of the areas and multiply the sum by 2 to give you the surface area. Looks a lot but it's worth getting the answer right.
The formula in finding the volume of the prism is V = w * h * l, where w is for width, h is for height, and l is for length. Simple multiplication of 3 different sides and you'll get the volume. I hope this helps and if I am wrong please let me know! :D
Answers:
Surface Area = 276 square inchesVolume = 280 cubic inches==========================================================
Explanation:
It might help to draw this out on paper, cut the figure out, and fold along the lines to form a 3D box.
Check out the diagram below. In steps 1 through 4, we go from a flat 2D net to a 3D box. Steps 2 and 3 basically are just intermediate steps to show the folding process. If this was done with an animation, it might look better (you'll have to use your imagination a bit).
The letters A through F in red should help us see how the flat 2D figure connects to the 3D one. For me, it helps to picture a room. The floor is face B, the ceiling is E, and so on.
Anyways, once we get the 3D box, it has the following dimensions:
L = length = 10 inchesW = width = 7 inchesH = height = 4 inchesThe order of length, width and height doesn't matter.
Once we know these values, we can plug them into the formulas below
SA = 2(LW+LH+WH)V = LWHwhere SA and V are the surface area and volume respectively.
--------------------
So,
SA = 2(LW+LH+WH)
SA = 2(10*7 + 10*4 + 7*4)
SA = 2*(70+40+28)
SA = 2*138
SA = 276 square inches is the surface area
and,
V = L*W*H
V = 10*7*4
V = 280 cubic inches is the volume
--------------------
As an alternative way to get the surface area, you can compute the areas of rectangles A through F, and then add up those areas to get the overall surface area.
It's a bit interesting how the surface area and volume are almost nearly the same number. Though that could be a coincidence.
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (Square).
r = 4 cm
4√2 cm
[?]%
Round to the nearest tenth of a percent.
Enter
Answers
Answer:
63.7 I believe to be the answer
The required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.
A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius = 4 cm
side of square = 4√2 cm
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Area of the circle = πr²
= 3.14 * 4²
= 50.24 cm²
Area of the square = side * side
= 4√2 * 4√2
= 32 cm²
Now the probability that a randomly selected point within the circle falls in the red shaded area (Square).
= Area of square / Area of the circle
= 32 / 50.24
= 0.636 or 63.6%
Thus, the required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Factor and find the zeros of the relation.
(c.) y = 30x^2 + 44x + 16
(d.) y = 10x^2 +60x + 80
Answers
Answer:
Step-by-step explanation:
c.
y= 30x² +44x +16
factor
y= 2 (15x² +22x +8)
find zeros
15x²+22x+8=0
ax²+bx+c=0
x= (-b±√(b²-4ac))/2a
x= -22±√484-480/30 = -22±2/30 = -11±1/15
there are 2 zeros x= -10/15 ; x= -12/15
d.
y= 10x² +60x +80
factor
y= 10(x²+6x+8) = 10( x+2)(x+4)
finding zeros
x+2 =0 so x= -2
x+4 =0 so x= -4
there are 2 zeros x= -2; x= -4
Round 81.469 to 1 decimal place.
Answers
81.469 correct to one Decimal place is 81.5
Hope This Helps You ❤️G
100%
Calculate the area of the parallelogram, in mề.
40 m
15 m
25 m
10 m
30 m
A. 250 m2
B. 450 m2
OC. 600 m²
OD. 900 m²
O E. 1000 m
Answers
Answer:
C. 600 m²
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.
The area of a parallelogram is the product of its base and its height. It is given by the formula:
Area = base * height
We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:
Area = base * height = 40 m * 15 m = 600 m²
Prove
Tan(x)+cot(x)=sec(x)/sin(x)
Answers
Answer:
Step-by-step explanation:
tanx + cotx = secx / sinx
take left hand side
=tanx + cotx
=sinx/cosx + cosx/sinx
=sinx*sinx+cosx*cosx/sinx*cosx
=sin^2x + cos^2x/sinx*cosx
=1/sinx*cosx
=1/cosx * 1/sinx
=secx/sinx
at second last step i changed multiplication sign into divide sign and write the reciprocal of 1/sinx which is sinx.
Can someone help me with this pls, is super important
Answers
y = 50 degrees
Explanation:
x + 130 = 180 (Angles between parallel lines)
x = 50
y = x = 50 (Corresponding angles)
find the length of the diagonals of rectangle QRST
Answers
Answer: 11: 26
12: 111
Step-by-step explanation:
Answer:
11:
since diagonal are equal of rectangle
QS=RT
4x+6=6x-4
6+4=6x-4x
2x=10
x=10/2
x=5
now
diagonal :4x+6=4*5+6=26
12.
again
QS=RT
9x+12=11x-10
12+10=11x-9x
2x=22
x=11
now
diagonal=9*11+12=99+12=111
The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are
Answers
Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]
The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:
[tex]H_0: \mu = 1250[/tex]
A tenant group thinks that the apartments are smaller than advertised.
Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:
[tex]H_a: \mu < 1250[/tex]
Can someone isolate the variable “n” and show steps?
Answers
Answer:
n= s/180 +2
Step-by-step explanation:
s=(n-2)180
/180
s/180=n-2
+2
s/180 +2 =n
Here are the first five terms of an arithmetic sequence.
26 19 12 5 -2
Find an expression, in terms of n, for the nth term of this sequence.
(I know part of it is -7n but I'm not sure if it would be 26 or -5 or what for the other part)
Tyyyyy <3
Answers
Answer:y=-7n+33
Step-by-step explanation:
List the integer solutions of: -3 < 2e ≤ 8.
Answers
9514 1404 393
Answer:
{-1, 0, 1, 2, 3, 4}
Step-by-step explanation:
Divide by 2 to find the solution.
-3/2 < e ≤ 4
The integer solutions are ...
{-1, 0, 1, 2, 3, 4}
Step-by-step explanation:
-3 < 2e ≤ 8
devided by 2
-3/2 < e ≤ 4
so, the integers are : { -1,0,1,2,3,4}
?????????????!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
Hope this helps
There are 250 students in a class the ratio of boys to girls is 3:2 how many boys are there?
Answers
Answer:
total no of children = 250
let no.of boys be = 3x
let no.of girls be = 2x
equation = 3x+2x= 250
= 5x= 250
= x= 250\5
= x= 50
so, no,of boys = 3x = 3x50 = 150
and no,of boys = 2x = 2x50 = 100
heres ur ans ,
hope it does help u !
if so plz mrk the brainliestt !!!!!
The sails of two boats are pictured below. What is the value of y?
Answers
Answer:
C 70
Step-by-step explanation:
since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.
remember, the sum of all angles in a triangle is always 180 degrees.
so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore
y = 180 - 90 - 20 = 70
What would be the surface area?
Answers
Answer:
7&2 = 49
49 x 3.14 x 2(there are two circles) = 307.72
Now we find the lateral surface area, we need to find circumference first:
2 x 3.14 x 7 = 43.96
Now we need to multiply by the height:
43.96 x 11 = 483.56
Now lets add our areas:
483.56 + 307.72 = 791.28 m^2 is your answer.
what number is equal to 3 thousands+ 7 tens+ 5 ones
Answers
Answer:
3075
Step-by-step explanation:
There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075
Answer:
3,075
Step-by-step explanation:
3 thousands = 3,000
0 hundreds = 0
7 tens = 70
5 ones = 5
How many blocks with dimensions of a 3x1x1 can fit in a unit cube?
2
3
6
9
Answers
What is the value of a for the following circle in general form?
x2 + y² + ax + by+c=0
Answers
Tim wants to buy a new sound system for $145. He has already saved $65. He gets $20 for each lawn that he mows.
Answers
Answer:
4 Lawns
Step-by-step explanation:
Tim need to mow four lawns.
145 - 65 = 80
80 / 20 = 4
4q^2 - (qr + 25) if q = 6 and r = 19
Answers
Explication: Do PEMDAS first solve the parenthesis which is 6x19= 114 then add the 25 which equals 139. Now slice the exponent 6^2=36 then multiply by 4 which equals 144. Subtract 144-139 and you get 5
Which triangle has hypotenuse Side B D?
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BDA
triangle BDF
triangle BDG
triangle BDH
Answers
Answer:
BDA
Step-by-step explanation:
Answer:
A). BDA
im doing the test rn
Step-by-step explanation:
The number that you will be rounding is: 5764.357894
Round this number in these 4 ways to the nearest:
1)ten
2)tenths
3)hundred
4)hundredths
Answers
Answer:
Rounded to the nearest ten, 5760
Rounded to the nearest tenth, 5764.4
Rounded to the nearest hundred, 5800
Rounded to the nearest hundredths, 5764.36
Step-by-step explanation:
shira was riding the screamer when it broke down. her seat was 53 jorizontal feet from the central support pole. What was her seat's angle of rtation. Is there more tahn one possible solutions
Answers
Answer:
The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees
Step-by-step explanation:
Please see the attachment
From the figure, it is evident that
cos AOB = OB/OA = 53/100 = 0.53
Thus, cos-1 (0.53) = 58 degrees
AOB = 58 degree
Also, there are can be other values depending on the quadrants
COB = 180 -58 = 122 degrees
FOB = 360 -58 = 302 degrees
EOB = 180 + 58 = 238 degrees
Learning task 1.
Look around inside your house, illustrate five (5) thigs which represents a circle
i will make you brainlest if u answer this properly
Answers
Which of the following shows an example of an arithmetic sequence?
5, 15, 45, 135, 405
-5, 0, 0, 0, 0
Olololo
-10, -19, -28, -37,-46
0,1,1,2,2
Determine the common difference:
Answers
Answer:
C) -10, -19, -28, -37, -46
Common difference: -9
Step-by-step explanation:
A) 5, 15, 45, 135, 405 is an example of a geometric sequence because each subsequent term is being multiplied by 3, which is the common ratio.
B) -5, 0, 0, 0, 0 is an example of a geometric sequence with a common ratio of 0 because each subsequent term is being multiplied by 0.
C) -10, -19, -28, -37, -46 is an example of an arithmetic sequence because each subsequent term is subtracted by 9, which is the common difference.
D) 0, 1, 1, 2, 2 is neither a geometric nor arithmetic sequence because the sequence shows no pattern that follows that of the two possible sequences.
Please help what’s 6,7,8.
Answers
Answer: 7 is 1/8, 8 is 2/8 or 1/4
Step-by-step explanation:
Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?
6/3
b.) 1/2
c.) 2/3
d.) 1/3
Answers
Answer:
1/3
Step-by-step explanation:
3 is a multiple of 3 itself so that's 1. 6 is also a multiple of 3 so that's 2 out of 6 in other terms 2/6. 2/6 simplified is 1/3 so he also has 1/3 of a chance of rolling a digit that is a multiple of 3.
Violet buys a premium sound system that is on sale for 40% off the original price. The original price is $224 more than the sale price
Answers
Answer:
The original price was of $560, while the sales price was of 560 - 224 = $336.
Step-by-step explanation:
Original price:
x
Sales price:
224 less than the sales price, that is:
x - 224.
On sale fo 40% of the original price:
So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:
[tex]x - 224 = 0.6x[/tex]
[tex]0.4x = 224[/tex]
[tex]x = \frac{224}{0.4}[/tex]
[tex]x = 560[/tex]
The original price was of $560, while the sales price was of 560 - 224 = $336.