Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answers
Answer:
Surface area = 505cm²
Step-by-step explanation:
Surface area of the triangular prism. = 2B + ph
B is the base area
p is the perimeter of the triangle
h is the height of the triangle
Base area = 1/2 * base * height
Base area = 1/2 * 18 * 40
Base area = 9 * 40
Base area = 360cm²
Perimeter of the triangle = 41 + 41 + 18
Perimeter of the triangle = 100cm
height of the prism = 45cm
Surface area = 360 + 100 + 45
Surface area = 505cm²
Related Questions
Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you so much!
Answers
Answer:
2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536
2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748
Step-by-step explanation:
The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.
2a:
a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}
a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}
a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.
a₈ = -1536
2b:
a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)
a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}
a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}
a₈ = 8748
Please help me with this problem .
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
Answers
4+10=14
462/14=33
33x4=132
so your answer would be 132 ;)
brainleist
BRAINLY TO WHOEVER CAN HELP- ALSO IF YOU GIVE VIA FILESHARE PLS JUST GIVE ME A VERY BREIF SUMMARY CAUSE I CANT OPEN IT
Answers
Answer:
A':2,4
B'4,4
C'2,4
D'2,1.5
Step-by-step explanation:
Just half all the points so in the case of A the original point is 4,8. Dialating by 1/2 is splitting it in half so the new point would be A' 2,4
Simon bought a 10-pound bag of cat food. He gives his cat 0.3 pound of food per day. Which equation with two variables to describe how the amount of cat food in the bag changes over time.
Answers
Answer:
y = 10 - 0.3t
Step-by-step explanation:
Amount of cat food purchased= 10 pounds
Daily pounds fed to dog = 0.3 pounds
How the amount of cat food in bag changes over time ;
Let y = amount of cat food left in bag
t = number of days since cat food was purchased
Amount of cat food left in bag = amount of cat food purchased - (daily pounds fed to dog * Number of days since cat food was purchased)
y = 10 - 0.3t
O D.y = -2x + 2
Q. If m=3 and b=6, what is the correct slope intercept equation?
answer choices
y=3-6
y=3X-6
y=3x+6
y=6x+3
US OP 10:31
Answers
1. You need to replace the numbers into
Y=mx+b
2 piecing it all together your answer will b:
Y=3x+6
Evaluate f(x) = 2|x – 5| for f(–5) and f(0).
f(–5) = –20, f(0) = –2
f(–5) = 10, f(0) = 0
f(–5) = 20, f(0) = 10
f(–5) = 12, f(0) = 5
Answers
Answer:
f(–5) = 20, f(0) = 10
Step-by-step explanation:
f(-5):
f(-5) = 2|-5 -5|
f(-5) = 2|-10|
f(-5) = 2(10)
f(-5) = 20
f(0):
f(0) = 2|0 - 5|
f(0) = 2|-5|
f(0) = 2(5)
f(0) = 10
One positive number is 2 less than another. The sum of their squares is 34. What is the smaller number?
Answers
The smaller number is 3. The number 3 squared is 9, plus the other number 5 squared, which is 25. when you add them, you get 34
Step-by-step explanation:
x = first number
y = second number
a. x+2 = y
b. x^2 + y^2 = 34
Replace y from equation a into equation b:
x^2 + (x+2)^2 = 34
Expand it
x^2 + x^2 + 4x + 4 = 34
2*x^2 + 4x = 30
2x^2 + 4x - 30=0
solving x:
x = -5 and x =3 , it says it is a positive number, then it is x is 3
and the second number, y = x + 2
y = 5
Lets test it!
3^2 + 5^ 2 = 9 + 25 = 34
Factoriza la diferencia de cubos
1) 8x³ -64
2) 125x³- 64y{6}
3) 8a³- 27b³
4) 27a³- 27b³
Answers
Answer:
The first one will be equal 2
Because
[tex] \frac{ - 64}{8} = - 8[/tex]
[tex]x ^{3} = 8 \\ [/tex]
[tex] \sqrt[3]{ - 8} = - 2[/tex]
Oh sorry i read the question wrongly i thought you wanted the value of x
Step-by-step explanation:
main formula used
a³-b³=(a-b)(a²+ab+b²)
Haha posting the pics of me again cuz why not
1/10
for me i pick 5/10
Answers
Answer:
Step-by-step explanation:
10/10 cause everyone is
Answer:
AA by isaiah rashad
Step-by-step explanation:
good song
Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.
37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.
This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.
Answers
2. What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
The total degrees in a 4 sided polygon is 360°
360° = 51° + 51° + 2(28x - 11°)
56x - 22° + 51° + 51° = 360°
56x = 280°
x = 5
Solve the system using the substitution method. -3x – 4y
= 2 x = y - 3
Answers
Answer:
y= −5/4x
heart if it helped!
$17.40 is 120% of what price?
Answers
If anyone is really good at math please hmu ASAP.
Answers
Answer:
Same I'll help you all if you guys try to help me with my recent question.
Step-by-step explanation:
A square piece of plastic has sides that are 8 centimeters long. What is the piece of plastic's area?
Answers
Answer:
64 [tex]cm^{2}[/tex]
Step-by-step explanation:
l x w = area
8 x 8 = 64
Plz help I’m bad with angles
Answers
Answer:
Complementary angles,7 & 83
Supplementary angles, 97 & 83
Vertical angles, 83 & 83
Step-by-step explanation:
Complementary angles add up to 90°
Supplementary angles add up to 180°
Vertical angles are equal
Help me find the value of W
Answers
Answer:
what grade is this?
Step-by-step explanation:
To serve 1 person at a local restaurant, it takes 10 minutes. To sene 5 people, it takes 18 minutes. Write and solve an equation to find the number it will take to serve a party of 8.
Answers
Answer:8x5=10-x
Step-by-step explanation:
What are the degree and leading coefficient of the polynomial?
Answers
Answer:
Degree: 9
Coefficient: -1
Step-by-step explanation:
The degree of a polynomial is equivalent to the highest degree of all its terms.
The term with the highest degree in this polynomial is y^9
please help me I really need help
Answers
Answer:
D each number gets divided by four
Step-by-step explanation:
Hope this helps
A 9-foot (ft) ladder and a 4-foot ladder are leaning against a house. The two ladders create angles of the
same measure with the ground. The 4-foot ladder has a height of 3.8 feet against the house.
Help please!!
Answers
Answer:
The 9-foot ladder would have a height of 8.55 ft against the house
Step-by-step explanation:
The angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonpometric ratios.
Therefore, the 9 foot and the 4 foot ladder forms the same angle.
The 4 foot ladder forms a 3.8 ft height against the wall.
Hence,
sin ∅ = opposite/ hypotenuse
sin ∅ = 3.8 / 4
∅= sin⁻¹ 0.95
∅ = 71.8051276612
∅ = 71.8°
Therefore, the angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.
learn more on right triangle here: https://brainly.com/question/22894739
At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?
Answers
Given:
Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.
Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.
Remaining persons are adults.
There were 56 more girls than adults.
To find:
The number of total persons.
Solution:
Let x be the number of total persons. Then,
Number of boys = [tex]\dfrac{1}{4}x[/tex]
Number of girls = [tex]\dfrac{5}{8}x[/tex]
Number of adults = Total persons - Boys - Girls
= [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]
= [tex]\dfrac{8x-2x-5x}{8}[/tex]
= [tex]\dfrac{x}{8}[/tex]
There were 56 more girls than adults.
Girls = Adults + 56
[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]
[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]
[tex]\dfrac{4}{8}x=56[/tex]
[tex]\dfrac{1}{2}x=56[/tex]
Multiply both sides by 2.
[tex]x=112[/tex]
Therefore, the total number of persons is 112.
I need help can someone help me pls
Answers
Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^{2} + b^2 = c^2[/tex]
36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
the cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?
Answers
Answer:
equation: y=15x+95
it would cost $1250
Answer:
f(x) = 95 + 15x
Cost for 77 people = $1250
Step-by-step explanation:
15 x 77 = 1155
1155 + 95 = 1250
Someone help me I need to get this finished by tomorrow ASAP
Answers
Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 49 in^2. the function A(t)=49t represents the area A(t), in square inches that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function?
Answers
Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
The three townships of Springfield, Wyandot, and
Johnsonville form an equilateral triangle as shown
below. Write and solve an equation to determine the
value of x.
Wyandot
(62) mi
18.6 mi
Johnsonville
Springfield
X=
Answers
Answer:
x=23 miles
Step-by-step explanation:
heart if it helped
Answer:
X=23jkhhhhjhggguhhgyfv
2. What is the coordinate of the final image of vertex T
after the triangle is translated 3 units to the left and 2
units up?
Please help with number 2
Answers
Answer:
We have the coordinates of vertex T after the translation as (-5,0)
Step-by-step explanation:
Firstly, we get the coordinates of vertex T
we have this as;
(-2,-2)
Translating to the left means we are going to subtract the specific units from the x-coordinate
2 units up means we are going to add to the y-coordinate value
So, we have it that;
(-2-3, -2+ 2) = (-5,0)
amelia machine changes one red token into three white tokens and one white token into two red tokens. amelia has three red tokens and one white token. she uses the machine three times what is the smallest number of tokens she can end up with?
WHOEVER ANSWERS FIRST GETS BRAINLIEST BUT IT MUST BE CORRECT'
Answers
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answers
Answer:
256 miles
Step-by-step explanation:
The Pythagoras theorem is a² = b² + c² where a is the hypotenuse or longest side
To find the shorter side, the equation is rearranged so c² = a² - b² (whether it is b or c doesn't matter)
so √377² - 277² = 255.7342371
Answer to number 22
Answer: 256 miles