Answers
Answer:
192 km²
Step-by-step explanation:
Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism
✔️Base Area = ½*bh
b = 6 km
h = 8 km
Base area = ½*6*8 = 24 km²
✔️Perimeter of base = 6 + 8 + 10 = 24 km
✔️Height of prism = 6 km
Plug in the values into the equation:
Surface area = 2(24) + 24*6 = 48 + 144
Surface area = 192 km²
Related Questions
Calculate the standard deviation of X for the probability distribution. (Round your answer to two decimal places.)
x 0 1 2 3
P(X = x) 0.1 0.5 0.1 0.3
Answers
Answer:
The standard deviation of the probability distribution is 1.02.
Step-by-step explanation:
Standard deviation of the distribution:
Square root of the sum of the difference squared between each value and the mean multiplied by its probability.
Mean:
Each value multiplied by its probability. So
[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]
The standard deviation of the probability distribution is 1.02.
Find the area of each figure. Round to the nearest tenth if necessary
Answers
Answer:
b. 869.6 ft²
Step-by-step explanation:
The figure is composed of an equilateral triangle and a trapezoid
Therefore,
Area of the figure = area of the triangle + area of the trapezoid
✔️Area of triangle = ½*a*b*Sin C
Where
a = 22 ft
b = 22 ft
C = 60° (mall angles of an equilateral triangle measures 60°)
Area = ½*22*22*Sin 60°
Area = 209.58 ft²
✔️Area of trapezoid = ½(a + b)h
a = 22 ft
b = 38 ft
h = 22 ft
Area = ½(22 + 38)22
Area = ½(60)22
Area = 960 ft²
✔️Area of the figure = 209.58 + 660 = 869.58 ≈ 869.6 ft²
help with math thanks so much:)
Answers
Answer:
4/3Step-by-step explanation:
1/2 ÷ 2/3 = 1/2 x 3/2 = 3/4 -_- so easy
Answer:
The first one is three the second is four
Step-by-step explanation:
1/2÷2/3 (do copy, dot, flop)
1/2·3/2
1·3=3
2·2=4
3/4
The two numbers in bold are the answers
Use the area of the rectangle to find the area of the triangle
Answers
if you want to get the area of a triangle you have to multiply the base times height and than divide by 2
A= 1/2 bh
A=1/2 (7x6)
A= 1/2(42)
A= 21
and for the area of the rectangle it’s 42 since there’s no dividing
A=bh
A=7x6
A=42
HELP ASAP!!
I will give brainliest if correct
Answers
Answer:
One of the angles is 42 degrees the other one is the same.
To find the missing angle you need to subtract the 2 angles with 90 and what you get is the missing angle so
42 - 42 - 90 = 90
I believe this is the right answer my bad if its not
3. LAKE How deep is the water 31.5 feet from the
shore?
31.5 ft
|+6 ft--- B
2 ft.
D
d ft
(A) 10
(B) 9.5
(C) 10.5
(D) 8
Please someone help!!
Link=REPORT
Answers
1/20 + x = 1/10 what is the value of x
Answers
Answer:
1/20
Step-by-step explanation:
1/20 +x = ⅒
multiply through by 20
1+20x=2
1-2=-20x
-1= -20x
1/20=x
FOR BRANLIEST PLEASE HELP!!
Answers
Answer:
55
Step-by-step explanation:
complementary angle means either of two angles whose sum is 90°.
we can use this to find that angle abc is 55 and since angle abc and ebf are opposite the measure the same
Can someone help me find the area
Answers
Answer:
Area of the composite figure = 84 in²
Step-by-step explanation:
Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH
Area of rectangle DEFG = DE × EF
= 5 × 10
= 50 in²
From ΔBHA,
AB = ED = 5 in [Given]
AH = FA - (GH + FG)
= 15 - (7 + 5)
= 15 - 12
= 3 in.
By applying Pythagoras theorem in ΔABH,
AB² = HB² + AH²
5² = HB² + 3²
25 - 9 = HB²
HB = √16
HB = 4 in
Area of rectangle BCGH = BC × HB
= 7 × 4
= 28 square in.
Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
= [tex]\frac{1}{2}(BH)(AH)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 in²
Therefore, area of the composite figure = 50 + 28 + 6
= 84 in²
What is the equation of the given line? Points (-5,2) and (2,-2)
x = –2
y = –2x
y = –2
x = 2
Answers
Answer:
y = - 2x
Step-by-step explanation:
your closet floor is 90 inches wide and 3 times as long what is the perimeter and area of your closet floor
Answers
Answer: 270
Step-by-step explanation:
90x3=270
Answer:
I mean
Step-by-step explanation:
Just multiply 90 by 3 since it says that it's THREE times as long. Btw you would get 270! So this should help! Well I guess you have to add another 90 to get the area of the closet. Don't quote me on that.
Which is more, 215 inches or 6 yards?
Answers
Answer:
6 yards is more, 6 yards converted into inches is 216
Step-by-step explanation:
Answer:
6 yards
Step-by-step explanation:
1 inch = 0.0277778 yard
=> 215 inches = 5.97222 yards
- But 5.97222 < 6
Therefore, 6 yards are longer than 215 inches
Is AB tangent to circle C?
Answers
Answer:
The line AB is a tangent of the circle with center C.
How many kilograms are equal to
54,308 grams?
Answers
Answer:
54.308 kilograms
Step-by-step explanation:
When y=x^2 is transformed to y=(x+1)^2-3 , the corresponding graph is shifted a) 1unit left and 3 units down. c) 1 unit left and 3 units up. b) 1 unit right and 3 units down. d) 1 unit right and 3 units up.
Answers
[tex]-5(3.15-\frac{21}{20} )+7[/tex]
Answers
Bradley needs at least $280 for a new laptop. He has already saved $40. He earns $8 an hour at his job.
Write and solve an inequality to find how many hours he will need to work to buy the system. Interpret
the solution.
Answers
X($8.00)= $240.00
Answer:
so sorry if i am late
Step-by-step explanation:
What is the solution of this system of equations?
x + 3y = 7
3x + 2y = 0
Answers
Answer:
X=-2, y=3
Step-by-step explanation:
Which angles are adjacent to each other?
Answers
Answer:
1st option maybe?
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.They share the same vertex and the same common side.
4 1/2 times 2 2/5 times 3 3/4 equals
Answers
Answer:
[tex] 40 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]
[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]
[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]
[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]
[tex] = \dfrac{81}{2} [/tex]
[tex] = 40 \frac{1}{2} [/tex]
Answer:
4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5
Hope this helps!
PLEASE HELP ASAP 20 POINTS AND BRAINLIEST IF RIGHT!
(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
A.) 3
B.) Square root of 21
C.) Square root of 29
D.) 7
Answers
which of the following is equivalent to 2:1
Answers
Answer:
use m a t h w a y
Step-by-step explanation:
put it all together and they will give you opitions
4/5-2/3 in simplest term
Answers
Answer: =2/15
Step-by-step explanation: Hope this help :D
Answer:
2/15
Step-by-step explanation:
4/5 - 2/3
Step 1: Find a common denominator. 5 and 3 don't share any factors other than 1, so multiply them to get 15.
12/15 - 10/15
(12 - 10)/15
Step 2: Subtract 10 from 12 to get 2.
2/15
4/5 - 2/3 simplified is 2/15.
please help me it due in an hour
Answers
Question is down in the image|||
Answers
Answer:
A
Step-by-step explanation:
What is the volume of this prism?
Answers
Answer:
The answer is 42ft ^3 (42 ft units cubed)
Step-by-step explanation:
To find the volume for a rectangular prism, first of all you need to know the formula. The formula is V=lwh (volume= length x width x height)
The formmula for this problem is V= 7ft x 2ft x 3ft= 42ft
Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark have? x represents . 3x represents .
Answers
Answer:
x represents nickels = 2
3x represents number of quarters = 6
Step-by-step explanation:
x represents nickels
3x represents number of quarters
We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x
x(0.05) + 3x(0.25) = 1.60
0.05x + 0.75x = 1.60
0.80x = 1.60
x = 2 = number of nickels
So 3x = 6 = number of quarters
Checking the math:
2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60
I need help with this I will mark you
Answers
Answer: A
Step-by-step explanation:
Step By-Step Explanation:
4
Select the correct answer
Erin is taking part in a play at the community theater. The cast and crew ordered T-shirts for all the volunteers. The cost of a T-shirt is $8, and the
total delivery charge is $45 per order. If the center has no more than $325 to buy T-shirts, how many T-shirts can they buy?
Answers
Answer:
The answer is B
Step-by-step explanation:
hi can you please help me with my work no Link please no Link
Answers
Answer: -12
Step-by-step explanation:
4 1/2-5 1/8= -5/8 divided by 7 1/2
= -12
Hope this helped!!<3
Answer:
-12
Step-by-step explanation:
4 4/8 – 5 1/8 = (4 – 5) + (4/8 – 1/8) = -1 + 4 – 1/8 = -1 + 3/8 = -5/8
7 1/2 ÷ 5/8 = 15/2 ÷ -5/8 = 15/2 × 8/-5 = 15 × 8 2 × -5 = 120 -10 = 120/-10 ÷ 10/10= –12