34 in.
16 in.
22 in.
Lateral Surface Area =
in squared
Total Surface Area =
in squared
Volume =
in cubed
Answers
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = [tex]\sqrt{1156-256}[/tex]
= [tex]\sqrt{900}[/tex]
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(30)(16)[/tex]
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
Related Questions
ian charges $15 per hour to landscape. if ian hired for more then six hours, he will reduce the cost by $1.50 per hour. write an expression to show the total cost of hiring ian for h hours if he landscapes for more then six hours?
Answers
Answer:
87
Step-by-step explanation:
87 because 15 times 6 equals 90 but take away the 1.50 from eah hou and you get 87
The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?
Answers
Be sure to include the correct unit in your answer.
15 . Mark me brainliest !!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain.
Answers
Answer:
one is 3-x
two is 1
three is x
four is 5-x
hope it helps :)
Answer:
1: 3-x
2: 1
3: x
4: 5-x
Step-by-step explanation:
Hope this helped
help please i cant fail this class please help
Answers
Answer:
14. x=1, x=−9
x^2 + 8x + 20 = 29
x^2 + 8x + 4^2 = 9 + 4^2
(x + 4)^2 = 25
x + 4 = ± 5
15. x = -1/2, x = -3/2
4x^2+8x+3=0
x = -8 ± √8^2-4x4x3/2x4
x = -8 ± √64-4x4x3/2x4
x = -8 ± √64-16x3/2x4
x = -8 ± √64-48/2x4
x = -8 ± √16/2x4
x = -8 ± √4/2x4
x = -8 ± √4/8
x = -4/8
x = -1/2
x = -12/8
x = -3/2
16. -36
Use the values of a, b, and c to find the discriminant.
17. x=2, x=−2
3x^2 + 5 = 17
3x^2 + 5 - 17 = 0
3x^2 - 12 = 0
x^2 - 4 = 0
(x−2)(x+2)=0
x=2 x=−2
18. x=12 , x=−12
x^2 = 144
x^2 - 144 = 0
(x−12)(x+12)=0
x=12, x=−12
19. x=2√5+3, x=3−2√5
x−3=2√5
x−3=−2√5
x−3−(−3)=2√ 5−(−3)
x−3−(−3)=−2√5−(−3)
x=2√ 5−(−3)
x=−2√5−(−3)
x=2√5+3
x=3-2√5
20. t = -√24-h/4+1, t = √24-h/4+1, h≤24
Word bank:
A) zeroes
B) axis of symmetry
C) y-value of the vertex
Step-by-step explanation:
I hope this helps!
Find the surface area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[?] cm2
Answers
Find the surface area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Answer:-Given:-[tex] \bullet [/tex] Radius of a cylinder (r) is 5 cm
[tex] \bullet [/tex] Height of a cylinder (h) is 10 cm
To Find:-The surface area of a cylinder
Solution:-We know the formula of surface area of a cylinder is –
[tex] { \boxed{\rm \red {2πr² \: + \: 2πrh}}} [/tex]So, putting the value of r = 5 cm and h = 10 cm we get,
2πr(r + h) = 2 × [tex] \frac{22}{7} [/tex] × 5(5 + 10)
= [tex] \frac{220}{7} [/tex](5 + 10)
= [tex] \frac{220}{7} [/tex] × 15
= [tex] \frac{220 \: × \: 15}{7} [/tex]
= [tex] \frac{3300}{7} [/tex]
= 471.43 cm²
The surface area of a cylinder is 471.43 cm². [Answer]Which graph represents this system? y=5x+3 3 y=zx-1
Answers
Answer:
where's the two graphs
Step-by-step explanation:
where are the two graphs that we need to choose from??
Answer:
[tex]y = 5x + 3[/tex]
[tex]3y = zx - 1[/tex]
Step-by-step explanation:
QRST is an isosceles trapezoid and m
Answers
Answer:
B. [tex] \huge \red {\boxed { 64\degree}} [/tex]
Step-by-step explanation:
QRST is an isosceles trapezoid (Given)Measures of base angles of an isosceles trapezoid are equal. RS || QT and, ST and RQ are transversals.[tex] \therefore m\angle S = m\angle R[/tex]
[tex] \because m\angle R= 116\degree [/tex]
[tex] \therefore m\angle S= 116\degree [/tex]
[tex] m\angle S + m\angle T = 180\degree [/tex]
(angles on the same side of transversal)
[tex] 116\degree + m\angle T = 180\degree [/tex]
[tex] m\angle T = 180\degree - 116\degree [/tex]
[tex] \huge \purple {\boxed {m\angle T = 64\degree}} [/tex]
solve for x in the rectangle below
Answers
Answer:
There isnt a rectangle buddy
Step-by-step explanation:
HELP ASAP A factory makes car batteries. The probability that a battery is defective is is.
If 400 batteries are tested, about how many are expected to be defective?
A. 25
B. 40
C. 16
D. 375
Answers
375 is the ansewer wwrhttttttttttttttttttt
Answer:
25
Step-by-step explanation:
Find f(-3) if f(x) = x 2.
A) 6
B-9
C)9
D-6
Answers
Answer: f(-3)=(-3)^2
f(-3)=9
the answer is C
Step-by-step explanation:
HELP Easy math easy points look at the photo
Answers
Answer:
x = 60
Step-by-step explanation:
33 + 87 + 60 = 180
:))
Answer:
x = 60
Step-by-step explanation:
5. How many ways can 12 swimmers finish in first, second, and third place? Combination or permutations
Answers
Answer:
36
Step-by-step explanation:
Each swimmer has a chance to get 1st,2nd, or 3rd place so im guessing it's 12x3 which is 36
1. Given: f(x)= x* - 6x² + 7x-6
(a) Using correct limit notation, describe the end behavior of f(x).
Answers
(-55) +____ = -89
Find the missing
Answers
Find the indicated side of the
right triangle
60°
7
30°
х
X=
= [?] )
Answers
The value of x is 14 units.
Trigonometry valuesWhen handling and dealing with difficulties involving the measurement of length and angles of a right-angled triangle, trigonometric values of ratios such as sine, cos, tan, cosec, cot, and secant come in handy. The trigonometric function is widely used to solve trigonometric issues at 0°, 30°, 45°, 60°, and 90°.
How to determine value of x?We know for angle of 30° the base is 7 and perpendicular is x
then
sin30° = 7/x
[tex]\frac{1}{2} =\frac{7}{x}[/tex]
x = 7
hence, the value of x = 14 units
Learn more about Trigonometry values here: https://brainly.com/question/22698523
#SPJ2
I need someone to hurty
Answers
Answer:
82.5
if its wrong sorry
hope this helps you ☺️☺️
4. What is the volume of the triangular pyramid?
10 in
6 in
8 in
Will Mark brainliest
Answers
Answer:
V=6240 in^3
Step-by-step explanation:
I am not sure what the base is but here is my guess:
V=13Ah
V=13(48)(10)
V=6240 in^3
PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
Answers
Answer: 13
Step-by-step explanation: Hope this help :D
Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Eli can purchase while staying within his budget.
Answers
He can buy 3 outfits
Step-by-step explanation:
Total: $640
New Bicycle: $356.89
Reflector(2)=$16.70(each)
Gloves:$27.47
First, we calculate the amount left.
Amount=total - (new bicycle + reflector * 2 + gloves)
Amount=$640 - ($356.89 + $16.70 * 2 + $27.47)
Amount=$640 - ($356.89 + $33.40 + $27.47)
Amount=$640 - $417.76
Amount=$222.24
An outfit costs $74.08 and he plans to buy x outfits.
The inequality is as follows:
$74.08x <_(less than or equal to) $222.24
The amount spent on outfits cannot exceed $222.24.
Divide both sides by $74.08.
$74.08x <_ $222.24
/$74.08 /$74.08
X <_ 3
To stay within budget, Eli can buy exactly 3 outfits on top of everything else.
help plz its a mathematical punnet square
Answers
Answer:
X 2 -7
-9 -18 126
3 -54 -6,804
1944 7.71
0.00396604938
Step-by-step explanation:
I tried. Sorry if it's wrong I've never done a mathematical punnet square before.
5 Solve the equation sin 2x = 2 cos 2x, for 0°<x< 180°
Answers
Answer:
Step-by-step explanation:
plot | 2 x = 2 cos(2 x) | x = 0 ° to 180 °
Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, how much is 5 pounds of gummy candy?
Answers
Answer:
$7.5
Step-by-step explanation:
Cost of 5 pounds of gummy
=$(4.5/3)(5)
=$7.5
simplify 14x(7xy^14)(-9x^-7 y^-3)
Answers
Answer:
-882y^11/x^5
Step-by-step explanation:
The age of Mark’s dad is 4 less than twice Mark’s age. The sum of their ages is 95. Find their ages.
Answers
m + d = 95 (their ages total 95)
We have a value for d, so plug it in:
m + 2m - 4 = 95
Simplify:
3m - 4 = 95
Add 4 to both sides:
3m = 99
Divide by 3:
m = 33
Answer:
mark is 33. his dad is 62
Step-by-step explanation:
Help me with this question. Thx!
Answers
please help i have been stuck on this for 3 hours
Answers
Answer:
The one you selected is the correct one
Answer:
(5/7) x 56 = 40 is correct
Step-by-step explanation:
How have you been stuck on this for 3 hours
a triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 2:11. what are the measures of those two angles?
Answers
Answer:
2+11=13
180-50=130
130÷13=10
2×10=20
11×10=110
2=20°
11=110°
Which set of vertices forms a parallelogram?
A. A(2,4), B(3,3), C((6,4), D(5,6).
B. A(-1,1), B(2,2), C(5,1), D(4,1)
C. A(-5,-2), B(-3,3), C(3,5), D(1,0)
D. A(-1,2), B(1,3), C(5,3), D(1,1)
Answers
Answer:
A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) is the answer.
Step-by-step explanation:
Leanna opens a savings account with an initial balance of $100. She then deposits $50 each month. Use an equation, a table, and a graph to explain the relationship between the amount of money in the account, a, and the number of months since Leanna opened the account, m.
Part A Write an equation to represent the problem. Explain how the value of a changes as m increases.
Part B Make a table to show the relationship between m and a. Find 5 ordered pairs.
Part C Use your table from Part B to draw a graph to represent the situation.
Please answer all questions
Answers
See the attached picture:
Which equation represents a line which is parallel to the y-axis?
Submit Answer
O y = x + 2
O2 = -2y
O y = -1
O2 = -2
Answers
Answer:
the 2nd one
Step-by-step explanation: