Answer:
The surface area of the tent is 21.4 m²
Step-by-step explanation:
To find the surface area of a prism you must calculate:
1. The perimeter of the base
2. The area of the base
3. The height of the prism
We have a triangular prism:
Its base is an equilateral triangle of side length 2 m and height 1.7 m
The height of the prism is 3 m
∵ The surface are of the prism is:
S.A = perimeter of the base × height + 2 × area of the base
∵ The perimeter of the equilateral triangle = 3 × length of a side
∵ The length of the side = 2 m
∴ The perimeter of the base = 3 × 2 = 6 m
∵ The area of the triangle = × base × height
∵ The length of the base of the triangle = 2 m
∵ The height of the triangle = 1.7 m
∴ The area of the base = × 2 × 1.7 = 1.7 m²
∵ S.A = perimeter of the base × height + 2 × area of the base
∵ The perimeter of the base = 6 m
∵ The area of the base = 1.7 m²
∵ The height of the prism = 3 m
∴ S.A = 6 × 3 + 2 × 1.7
∴ S.A = 18 + 3.4
∴ S.A = 21.4 m²
The surface area of the tent is 21.4 m²
A flour moth trap has the shape of a triangular prism that is open on both ends. An environmentally safe chemical draws the moth inside the prism, which is lined with an adhesive. What is the surface area of the prism-shaped trap?
Answer:
72 in²
Step-by-step explanation:
since the trap is open left and right, we don't include these side areas.
so, all we have for the surface area are
the top rectangle (2.5 in × 12 in),
the bottom rectangle (2 in × 12 in)
the back rectangle (1.5 in × 12 in)
for the total surface area we need to to add all 3 areas up.
in our case we get
2.5 × 12 = 30 in²
2 × 12 = 24 in²
1.5 × 12 = 18 in²
total is then
30 + 24 + 18 = 72 in²
What was the opening price of Dow Jones Industrial Average on Jan 08, 2018 in the format of XXXXX.XX?
Answer:
This implies that the opening price was 21080.28. Explanation: The Dow Jones Industrial Average measures the stock performance of 30 large
will (2)/(5)+\sqrt(3) be rational or irrational
Answer
rational
Step-by-step explanation:
How many outfits consisting of a suit and a tie can a man select if he has two suits and nine ties?
Answer:
2 outfits and 7 ties left
Step-by-step explanation:
Answer: my guess is 18 or 4 because you can multiply 2*9 or divide 9/2 which gives you 4.5
You could round it but then it would just be 4 outfits and a half which wouldn’t make sense so it’s best if 4. I really hope if I helped because honestly I was confused too lol have a good day
Step-by-step explanation:
Use the power reducing formula to rewrite sin^4(6x) in terms of the first power of cosine
The reduced form of Sin⁴(6x) in terms of the first power of Cosine is; 1 - 1/4(Cos (24x)).
Reducing Trigonometric identitiesIt follows from the task content that;
Trigonometric identity, Sin⁴(6x) = 1 - Cos⁴(6x)Hence, from product identity;
Cos⁴(6x) = (1/2) (Cos²(12x)Upon further use of the product identity;
(1/2) (Cos²(12x) = 1/4(Cos (24x)).On this note, it follows that use of the power reducing formula on the function sin⁴(6x) is;
= 1 - 1/4(Cos (24x)).Read more on power reducing formula;
https://brainly.com/textbook-solutions/q-exercises-35-38-use-power-reducing-formulas-c7freu
What is the area of this octagon?
Answer options with 5 options
A.
72 centimeters squared
D.
38 centimeters squared
B.
59 centimeters squared
E.
31 centimeters squared
C.
42 centimeters squared
Answer:
please send the image to enable me to answer
Math work I need help please.
Answer:
Rectangular Pyramid
Step-by-step explanation:
The shape is a rectangle. Thus, leaving only two viable answers.
The picture is not a prism. Hence, the only option left is a rectangular pyramid.
Easy math what ones right
The graph of part of the liner function G is shown on the grid which and inequality best represents the domain of the part shown
PLEASE ANSWER ASAP I WILL MARK BRAINIST I WILL GIVE OUR FREE MORE POINT PLEASE AND THANK!!!YOU
Note that
For a pair (x,y)
x is domain y is rangeHere x goes from
-9 to 2Hence domain
-9<x≤2As There is open dot on -9 we used <
In the xy-plane, the graphs of y = x2 - 8x + 18 and y = - 4x + 14 intersect at point (a, b). What is the product of a and b?
Answer:
12 and 5
Step-by-step explanation:
Someone help me answer I need help
Answer:
Step-by-step explanation:
Is that Ed genuity?! I used to use it. I had the same problem once!
could someone please help me with this? and PLEASE NO FAKE ANSWERS SERIOUSLY NO
and if you want there are more questions on my profile that are worth 50 points
will be quite happy if someone can help with any of this
Answer:
(a) 5 units up
(b) 3 units right
(c) 7 units left
Step-by-step explanation:
Parent equation: [tex]y=x^2[/tex]
Transformed equation: [tex]y = (x - h)^2+ k[/tex]
h translates the parabola horizontally
If h > 0 then the translation is h units to the right.
If h < 0 then the translation is h units to the left.
If h = 0 then there is no horizontal translation.
k translates the parabola vertically
If k > 0 then the translation is k units up.
If k < 0 then the translation is k units down.
If k = 0 then there is no vertical translation.
Part (a)
Given equation: [tex]y=x^2+5[/tex]
Rewriting in transformed equation form: [tex]y=(x-0)^2+5[/tex]
Therefore, the parabola is translated 5 units up.
Part (b)
Given equation: [tex]y=(x-3)^2[/tex]
Rewriting in transformed equation form: [tex]y=(x-3)^2+0[/tex]
Therefore, the parabola is translated 3 units right.
Part (c)
Given equation: [tex]y=(x+7)^2[/tex]
Rewriting in transformed equation form: [tex]y=(x+7)^2+0[/tex]
Therefore, the parabola is translated 7 units left.
Part (d)
Given equation: unreadable
Ketki and Kunal are playing a game where they are making triangles in different scenarios.
In which of the following situation the triangles made by them would be congruent?
( i ) Both making a triangle FUN with side FU=4cm and angle F= 60º
( ii ) Both making an equilateral triangle ARE.
( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
( iv ) Both making triangle DIP with all angles equal.
The situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes length of line segment AB, and so on for others).
For two triangles being congruent, we need at least:
Either, 3 corresponding side pairs are congruent. (SSS congruency), Or, any 2 corresponding sides and angle between them are congruent. (SAS congruency).Or, any 1 side of same measurement as its corresponding side in other triangle with two angles on its endpoints of same measurement as per their corresponding angles in the other triangle. (ASA congruency).Checking all the options:
( i ) Both making a triangle FUN with side FU=4cm and angle F= 60ºOnly one side and one angle are not enough.
( ii ) Both making an equilateral triangle ARE.Two equilateral triangles are not necessary to be congruent. Example, one equilateral triangle has sides of 3 units, and other triangle has sides of 5 units.
( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cmTwo sides TR and RY and a non-included angle T is given. This doesn't satisfy SAS' condition. But since it is given that:
Angle T is right angled, so we now know that RY is going to be hypotenuse.
Using this fact, and the fact that |RY| = 5 cm, |TR| = 4 cm, and Pythagoras theorem, we can get |TY| = 3 cm.
Thus, it will complete SSS condition, and therefore, by SSS congruency, the triangles made in this case would be congruent.
( iv ) Both making triangle DIP with all angles equal.All angles(corresponding) being equal implies similarity, but not congruence.
Thus, the situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
Learn more about congruent triangles here:
https://brainly.com/question/16921692
#SPJ1
What is the value of X?
Answer:
30
Step-by-step explanation:
All of the angles add to 180 degrees for a triangle
x + 2x + 3x = 180
6x = 180
x = 30
(2 – 3i) and (4 + 3i)
The product of the two complex numbers above is a - 6i, where a is a constant. What is the value of a ?
(Note: i = -1)
Expanding the product gives
(2 - 3i) (4 + 3i) = 8 - 12i + 6i - 9i² = (8 + 9) + (6 - 12) i = 17 - 6i
so a = 17.
Select two ratios that have the same unit rate as 2:4
A. 1:3
B. 1:2
C. 3:5
D. 5:10
E.4:6
F. 6: 10
Answer:
B and D
Step-by-step explanation:
2:4 when divided by 2 gets you 1:2
and 2:4 multiplied by 2.5 gets you 5:10
Answer:
B and D
Step-by-step explanation:
So basically we have to find the unit rate of 2:4.
(remember to find the unit rate we have to simplfy the ratio until one of the quantities is 1)
2:4 (divide by 2 on each side)
1:2 (B)
now we can use this unit rate of 1:2 to find out other equal ratios
1:2 (multiply 5 on both sides)
5:10 (D)
At a farm the ratio of cows to horses was 7 : 2 if there were 21 cows at the farm, how many horses were there?
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!!!
Answer:
y>3
Step-by-step explanation:
All values on the y axis will be greater than 3
Hope this helps :D
How many eights are there in 41/4?
Answer:
If you are meaning how many times can you subtract 8 from the answer with it still being a positive number, then 1. Otherwise 0
Step-by-step explanation:
Karrie is 24 years old. She took her age, divided by -3, added -7, then multiplied by -4. Her result is 2 years older than her father's age. How old is Karrie's father?
Answer:
58 y/o
Step-by-step explanation:
Write out the English in math terms
[24/(-3) + (-7) ] * -4 -2 = Father's age = 58
Is the answer to 15% of 45 6.75?
Answer:
Yes
Step-by-step explanation:
What is 15 percent of 45? = 6.75.
Annita is sewing a lace edge around a rectangular quilt. She will need 146 inches of lace to do the entire quilt. If the quilt is 38 inches wide, how long is the quilt?
Answer:
35 inches long
Step-by-step explanation:
the answer is 35 inches long because if you do 38x2 because of the two sides you will get 76 then subtract 76 from 146 then you will get 70. Then do 70÷2 to find out the other side and i got 35
What is the mean of 10 13 11 10 5 9
Answer:
9.66667
Step-by-step explanation:
The average of all the data in a set.
Answer: [tex]9\frac{2}{3}[/tex]
Step-by-step explanation:
To find the mean we must add all of the numbers together and then divide them by the amount of numbers in the set
This set has 6 numbers
I will solve the addition step by step instead of all at once to make it easier to understand
[tex]\frac{10+13+11+10+5+9}{6} \\\\\frac{23+21+14}{6} \\\\\frac{44+14}{6} \\\\\frac{58}{6} \\\\9\frac{2}{3}[/tex]
there are 50 peoples at a meeting. They each shake hands with everyone else. How many handshakes were there?
Which statement about the function represented by this graph is true?
Step-by-step explanation:
There is no options but I think the graph equation is
[tex]f(x) = \sqrt{x} + 2[/tex]
What is the value of n?
Place the indicated product in the proper location on the grid. (a - b)(a 2 + ab + b 2)
Answer:
a^3 + b^3
Step-by-step explanation:
(a + b)(a^2-ab+b^2)
a(a^2 -ab +b^2) +b(a^2-ab+b^2)
a^3 - a^2b +ab^2 + ba^2 -ab^2 +b^3
a^3 -a^2b +a^2b ab^2-ab^2 + b^3
The final answer will then be:
a^3 + b^3
Hope this helps! Have a great one! And I give out the best of luck for whatever quiz this is on!
Answer:
a^3 - b^3
Step-by-step explanation:
a^3+a^2b+ab^2 -a^2b -ab^2 -b^3
a^3 - b^3
Henry opened his account with a starting amount of $920, and he is going to take out $60 per month. Write an expression for the amount of money in Henry’s account after x months.
$920 - $60x
Step-by-step explanation:
after one month, he try would have taken out 60 x 1 dollars, after two months, 60 x 2, 3 months, 60 x 3, etc. so after x months he would have taken out 60x (60 times x) dollars. if he starts with 920 dollars, he would be left with $920 - $60x.
<3
help please :(((((((
Answer do your work
Step-by-step explanation:
1. Jeremy rode his bike 9 miles in 3
hours. At this same rate, what is the
total number of miles Jeremy could
ride in 4 hours?
Answer:
12
Step-by-step explanation:
first, find the unit rate. to get the unit rate, we would figure out how many miles he can ride in 1 hour. to get this, divide by 3, to get hours to 1 instead. now divide miles by 3 to get 3 mph. multiply by 4, and you have your answer.