Given:
Height of a triangular prism = 6 inches
Legs of right triangular base are 9 inches and 12 inches.
To find:
The lateral surface area of a triangular prism.
Solution:
According to the Pythagoras theorem:
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using Pythagoras theorem, we get
[tex]Hypotenuse^2=(9)^2+(12)^2[/tex]
[tex]Hypotenuse^2=81+144[/tex]
[tex]Hypotenuse^2=225[/tex]
Taking square root on both sides, we get
[tex]Hypotenuse=\sqrt{225}[/tex]
[tex]Hypotenuse=15[/tex]
Now, the lateral surface area of a triangular prism.
[tex]A=Ph[/tex]
Where, P is the perimeter of the base and h is the height of the prism.
[tex]A=(9+12+15)\times 6[/tex]
[tex]A=(36)\times 6[/tex]
[tex]A=216[/tex]
Therefore, the lateral surface area of a triangular prism is 216 square inches.
David has four bags of apples and two bags of mangoes. The first four bags contain 6 apples each and the bags with mangoes contain 3 mangoes each. If David and his friends ate 2 apples from each bag and 2 mangoes from each bag, what is the total number of fruits left over?
Answer:
tal vez sea el fotosíntesis pero no creo jaja
Step-by-step explanation:
pero mañana va?
Answer:
XDXDXDXDXDXDXD YO NO SE LA RESPUESTA :')
Ethan paid $3.36 in sales tax on a hooded sweatshirt that cost $42.00 before tax. At that rate, how much would he pay in sales tax if that same item costs $58.00 before tax?
Answer:
$4.64
Step-by-step explanation:
$42 x tax rate = 3.36
tax rate = 3.36/42
tax rate = 8%
$58x.08=4.64
What's the y intercept of the following equation?
10y = 20x + 30
Answer:
[tex]10y = 20y + 30 \\ y = 2y + 3 \\ y \: intercep = 3[/tex]
5Y/ Y-3
+
10/Y^2-Y-6
=
Y/Y+2
Answer:
y=1.110399 or y=−6.782628 or y=−1.327771
Step-by-step explanation:
What is the lateral surface area?
5 mm
5 mm
5 mm
Write as an algebraic expression: Five times
the difference of the cube of y and the
square of x
A. 5y3 + 5x2
B. (5y)3 - (5x)2
C. 5(y3 - x2)
D. (5y - 5x)^6
Given:
The statement is "Five times the difference of the cube of y and the square of x".
To find:
The algebraic expression for the given statement.
Solution:
We know that,
Cube = Power 3
Square = Power 2
Difference = Minus (-)
Times = Multiplication (×)
Now,
Cube of y = [tex]y^3[/tex]
Square of x = [tex]x^2[/tex]
Difference of the cube of y and the square of x = [tex]y^3-x^2[/tex]
Five times the difference of the cube of y and the square of x is:
Required expression = [tex]5(y^3-x^2)[/tex]
Therefore, the correct option is C. The required algebraic expression for the given statement is [tex]5(y^3-x^2)[/tex].
a(n+y)=10t+32 solve for y
Step-by-step explanation:
a(n+y) = 10t + 32
n+ y = (10t + 32)/a
y = ((10t+32) /a) -n
Anybody help me please!!!!!!!!!!
Answer:
A reflection over the x-axis.
Step-by-step explanation:
A reflection over the x-axis means that the x-coordinate stays the same, and the y-coordinate is now the negative of what it was. This describes what is shown in the photo.
Answer:
A reflection over the x- axis
True or False:
(2x2 - 3x) - (4x2 - x) = -2x2 - 2x
What is the solution to the inequality 7x + 2 < -3x + 1?
A parallelogram has a base of 9.2 ft.Its height is 8 ft what is its area ?
Answer:
73.6ft
Step-by-step explanation:
The equation for the area of a parallelogram is base x height
Insert numbers and you have 9.2 x 8
9.2 x 8 is 73.6
Therefore the area is 73.6 ft
HELPSDBNENANSSnshejs
Answer:
64 left handed girls
25 left handed boys
89 total left handed students
Step-by-step explanation:
Multiply 320 x 0.2
Multiply 250 x 0.1
You can think of it this way, 0.2 is 2/10 and 0.1 is 1/10 so take 20 percent of 320 and 10 percent of 250
Add them up for your answer 64 + 25 = 89
Acellus Find the value of x. Round to the nearest tenth. 33° 6 x = [?] PLEASE HELP DONT PUT RANDOM STUFF GETTING REPORTED
Answer:
3.27
Step-by-step explanation:
Let us assume that the values are the side of a right triangle where;
Hypotenuse = 6 (longest)
Angle of elevation = 33 degrees
Required
x = opposite side
Using the trig identity
Sin theta = opp/hyp
Sin 33 = x/6
x = 6sin33
x = 6(0.5446)
x = 3.27
Hence the value of x is 3.27
Note that the values of the sides are assumed.
can someone please help me with this question? (no links!!)
Answer:
95.03
Step-by-step explanation:
half the radius- 11/2=5.5
A=πr^2
=πx5.5^2
Select the correct solution set.
-7x ≥ 56
{x | x ≤ -8}
{x | x ≥ -8}
{x | x ≥ 8}
-7 x>=56
Alternate forms:
x<=-8
x + 8<=0
Solution:
x<=-8
(-∞, -8]
find the missing part using the pythagorean theorem and find the area.
Answer:
Area=24 units²
Step-by-step explanation:
[tex]x^2 +6^2=10^2[/tex]
[tex]x^2 +36=100[/tex]
[tex]x^2=64[/tex]
[tex]x=8[/tex]
[tex]A=\frac{8*6}{2}[/tex]
[tex]A=\frac{48}{2}[/tex]
[tex]A=24[/tex]
What is the value of the expression (2) 6 over 2?
Answer:
16 I think I dont know lol
What is the value of x in this diagram? fo 1040 (x+10) 0 DO 43
Answer:
option (B) 33 is right answer
Answer:
x = 33Step-by-step explanation:
According to Supplementary Angle sum,
104° + x + x + 10° = 180°
=> 2x + 114 = 180
=> 2x = 180 - 114
=> 2x = 66
[tex] = > x = \frac{66}{2} [/tex]
=> x = 33 (Ans)
(help ASAP) what is the two answers? (person who gets it right gets 5 stars and a brainlist)
11. Which is an equation of the circle whose center is
(5,1) and whose radius is 3?
A. (x + 5)2 + (y 1)2 = 9
B. (x + 5)2 + (y 1)2 = 3
C. (x 5)2 + (y + 1)2 = 9
D. (x 5)2 + (y + 1)2 = 3
In a trivia game, correct answers are worth 4 points each and incorrect answers are worth-3 points each. Louis answered 6 questions correctly and 7
questions incorrectly. What is Louis' score?
Answer:
Louis score would be 2
Step-by-step explanation:
f(x) =log 1/2 x; translation 2 units right followed by a vertical stretch by a factor of 5
Answer:
nmn
Step-by-step explanation:
whats the answer to multiply (-3)(7)?
Answer:
-21
Explanation:
3 · 7 = 21
When any number being multiplied is a negative, the output becomes a negative
-3 · 7 = -21
Answer:
-21
Step-by-step explanation:
7 X 3= 21 and because the 3 is negative you get a negative product which is -21
Marie has one 6-sided cube with the last 6 letters of the alphabet. She has another 6-sided cube with the first 6 letters of the alphabet. If she rolls both cubes at the same time, what is the probability that the cubes will land on vowels?
A 1/18
B 1/12
C 1/4
D 1/6
Which answer shows a reflection across the x-axis?
Answer:
C
Step-by-step explanation:
The key word is x-axis, and since the bottom line is the x, just look for a reflection of it.
Talia bought a home for her pet turtle the rectangular tank is 3 feet long. 1 foot wide and 2 feet high. What is the volume?
Answer:
Volume of rectangular tank = 6 cubic feet
Step-by-step explanation:
Length of the rectangular tank = 3 feet
Width of the tank = 1 feet
And height of the rectangular tank = 2 feet
Since, tank is in the shape of a cuboid,
Volume of a cuboid = Length × Width × height
= 3 × 1 × 2
= 6 cubic feet
Therefore, volume of the rectangular tank will be 6 cubic feet.
Answer:
6
Step-by-step explanation:
question and answer options in photo
please help
zoom in if needed
Answer:
B) 6 ft
Step-by-step explanation:
11 x 34.5 x 25 = 70.5
70.5/12 is about 6
2) Avery pays $125 every 5 weeks for basketball training. What is the price per
year for his basketball training? If necessary, round your final answer to the
nearest hundredth's place.
ASAPP!!!!!
Answer:
$1300
Step-by-step explanation:
52/5 = 10.4
$125 * 10.4 = $1300
or another way
125/5 = $25/week
$25 week * 52 weeks = $1300
Can you slove this 6=2(y+2)
Answer:
y=1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6=2(y+2)
6=(2)(y)+(2)(2)(Distribute)
6=2y+4
Step 2: Flip the equation.
2y+4=6
Step 3: Subtract 4 from both sides.
2y+4−4=6−4
2y=2
Step 4: Divide both sides by 2.
2y/2 2/2
how to solve (2^3)^4
Answer: 2^12
Step-by-step explanation:
Answer: 4096
Step-by-step explanation: