Answers
Answer:
Step-by-step explanation:
a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°
By applying Pythagoras theorem in ΔBCD,
BD² = BC² + CD²
BD² = (10)² + (24)²
BD = √676
BD = 26 cm
B). Surface area of the wedge = Sum of all the surfaces of the wedge
Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(24)[/tex]
= 120 cm²
Area of CDEF = Length × Width
= ED × CD
= 26 × 24
= 624 cm²
Area of BCFA = 10 × 26 = 260 cm²
Area of ABDE = ED × BD
= 26 × 26
= 676 cm²
Total surface area of the wedge = 2(120) + 624 + 260 + 676
= 1800 cm²
C). Volume of the triangular prism = Area of the triangular base × Height
= (Area of BCD) × DE
= 120 × 26
= 3120 cm³
d). By applying sine rule in the right triangle BCD,
sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{BC}{BD}[/tex]
m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]
= 22.6°
Related Questions
Can someone check my answers and if their wrong explain how to get the correct answer
Answers
Answer: 1. Correct, 2. Incorrect 90° angle not 80° angle answer is 50, 3. Is correct, 4. Is correct
Step-by-step explanation:
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
10
+
115
p
=
305
10 + 115 p = 305
10
p
+
305
=
115
10 p + 305 = 115
115
+
10
p
=
305
115 + 10 p = 305
115
⋅
10
p
=
305
115 · 10 p = 305
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
10
+
115
p
=
305
10 + 115 p = 305
10
p
+
305
=
115
10 p + 305 = 115
115
+
10
p
=
305
115 + 10 p = 305
115
⋅
10
p
=
305
115 · 10 p = 305
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
Answers
Answer: 19 days
Step-by-step explanation:
Answer:
115 + 10x = 305
x = 19
It will take her 19 days to finish.
HELP ME WITH THIS PLS!!!!!!
Answers
Answer:
Step-by-step explanation:
[tex]x^{2} x^{2} \sqrt{x} \neq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
PLEASE HELP PLEASE PLEASE
Answers
Answer:
Step-by-step explanation:
x > -7
Open circle means the solution does not include -7 and it is more than -7
how many hundreds are in 200+10+6
Answers
Answer:
2
Step-by-step explanation:
Answer:
2.16
Step-by-step explanation:
What is the equation in slope-intercept form of the line that passes through the points ( 2, 5) and (6, 8)?
y = 0.75x + 3
y = 0.75x + 3.5
y = 4x + 10
y = 4x - 36
Answers
Answer:
Step-by-step explanation:
HELPPPP PLSPLSPLSPSLSLLSLSLSLSLLSLSLSLLS
Answers
For the first box, you would multiply.
For the second box, you would multiply both sides by 3/2.
For the third box, the answer is 18.
[tex]\frac{2}{3}x=12[/tex]
[tex](\frac{3}{2} )*\frac{2}{3}x=12*(\frac{3}{2})[/tex]
[tex]x = 18[/tex]
If you have any further questions, please reach out to me :)
Answer:
multiply both sides by 3/2. The correct answer is 18
Step-by-step explanation:
I need help what is 1/4 ^ 4
Answers
Select the inequality that match the situation:
A school fundraiser has a minimum target of $500. Faculty have donated $100 and there
are 12 student clubs that are participating with different activities. How much money
should each club raise to meet the fundraising goal?
12x - 100 > 500
12x +100 > 500
12x- 100 > 500
12x + 100 > 500
12x - 100 < 500
12x + 100 < 500
Answers
Answer:
Each student club must contribute $ 33.33 in order to meet the fundraising goal.
Step-by-step explanation:
Given that a school fundraiser has a minimum target of $ 500. Faculty have donated $ 100 and there are 12 student clubs that are participating with different activities, to determine how much money should each club raise to meet the fundraising goal, the following calculation must be performed:
(500 - 100) / 12 = X
400/12 = X
33,333 = X
Thus, each student club must contribute $ 33.33 in order to meet the fundraising goal.
If the Quadratic functions for the equations are graphed, which is the widest?
A. y = x^2
B. y = 2x^2
C. y = 6x^2
D. y = 1/4x^2
Answers
y = ax^2
If the absolute value of a is <1 the graph is wider than when a = 1
If the absolute value of a is >1 the graph is narrow than when a = 1
The only function that fits that description is
y = 2x^2
bfnbhsvkisbvjdkbv jv ksnhvsdf vkdbsnjbv k
Answers
Answer:
41
Step-by-step explanation:
47-6=41
through: (-3,-4) and (0,4)
Answers
Answer:
The slope = 8/3
Step-by-step explanation:
Let's find the slope between your two points.
(−3,−4);(0,4)
(x1,y1) = (−3,−4)
(x2,y2) = (0,4)
Use the slope formula:
m= y2−y1 / x2−x1
= 4 − −4 / 0 − −3
= 8/3
Answer:
m = 8/3
Graph:
hope this helps and is right :)
The function g(x) = f(x + 1) + 6. Which of the following is true about the graph of g(x).
Answers
Answer:
You need to show us the options
Step-by-step explanation:
Answer:
what’s the anwser?
Step-by-step explanation:
What is the percent of change from 60 to 84?
40% increase
Answers
Answer:
you are correct
Step-by-step explanation:
help pls! ill mark best answer brainliest
Answers
I am working on this subject too. I'm gonna get a calculator and help you. The answer is actually 14
given point A (3,-4) and point B (8,6) on directed line segment AB
Answers
Answer:
-1
Step-by-step explanation:
A person on a moving sidewalk travels 72 feet in 9 seconds. The moving sidewalk has a length of 240 feet. How long will it take to move from one end to the other?
Answers
Answer:
30 seconds
Step-by-step explanation:
Speed of person :
72 feets in 9 seconds
Distance = 72 feets ; time = 9 seconds
Speed = distance / time
Speed = 72 / 9 = 8 ft/s
Length of sidewalk = 240 feets
Time it takes to move from one end to the other :
Time = distance / speed
Time = 240 feets / 8 feets /sec
Time taken = 30 seconds
Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?
Answers
If you divide 45.85 by 20 you will get 3 same for 58.39 and 20
If you were to rotate ABCD 180degrees about the origin, what would the coordinate of A' be?
Answers
Answer:
5,5
Step-by-step explanation:
The radius of a cylindrical water tank is 4 ft, and its height is 6 ft, what is the volume of the tank?
Answers
Answer:
96π cu ft.
Step-by-step explanation:
V = Bh B = area of the base h = height
The base is a circle, so [tex]B = \pi r^{2} = \pi 4^{2} = 16\pi[/tex]
V = 16π(6) = 96π cu ft.
The volume of the cylinder is 301. 6 cu. ft.
What is the volume of the cylinder?[tex]V=\pi \times r^2\times h[/tex]
where r is the radius of the cylinder and h is the height of the cylinder
For given question,
The radius of a cylindrical water tank is 4 ft, and its height is 6 ft,
[tex]\Rightarrow r=4~ft,~h=6~ft[/tex]
We need to find the volume of the cylinder.
Using the formula of the volume of the cylinder,
[tex]\Rightarrow V=\pi \times r^2\times h\\\\\Rightarrow V=\pi \times 4^2\times 6\\\\\Rightarrow V=\pi \times 16 \times 6\\\\\Rightarrow V =301.6~~cu.ft.[/tex]
Therefore, the volume of the cylinder is 301. 6 cu. ft.
Learn more about the volume of the cylinder here:
https://brainly.com/question/16134180
#SPJ2
SOS PLEASE HELP write the equation for this line
Answers
Answer:
y = - x + 3
or
x + y = 3
Step-by-step explanation:
Line is passing through the points (3, 0) & (0, 3)
y-intercept (b) = 3
Slope of the line (m) = (3 - 0)/(0 - 3) = 3/(-3) = - 1
Now, required equation of line is given as:
y = mx + b
y = - 1*x + 3
y = - x + 3
or
x + y = 3
I'm confused for some reason can you help?
Answers
Answer:
So basically you just count how many squares you see. I see 21 squares so your answer would be 21 cubic units please mark me brainliest and have a wonderful day
Step-by-step explanation:
Answer: 18 cubic units
Step-by-step explanation:
You can count the number of units on each side, one for height, which is 3 units, one for width, also 3, and one for length, 2 units. Volume is height*length*width, so 3*3*2 is 18.
Microscope slide shows 37 red blood cells out of 60 blood cells how many red blood cells would be expected in a sample of the same blood that has 925 blood cells?
Answers
Answer:
Hope that answers your question
(Geometry): find x.
Answers
20x + 1 = 720
20x = 719
x = 35.95
Your answer: 35.95
Proof:
(5(35.95))+(35.95-10)+(3(35.95)+5)+(2(35.95)-2)+(5(35.95)+6)+(4(35.95)+2) = 720
rite an equation of the line with the given slope, m, and y-intercept (0,3).
The equation is_______
m=0, b=-5
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Answers
3=x-5
X=
(-6x+125) (11x + 6)
Answers
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so ...
11x +6 = -6x +125
17x = 119 . . . . . . . . . add 6x-6 to both sides
x = 7 . . . . . . . . divide by 17
What is the circumference of a circle?
Your answer:
The width of a circle
The distance around a circle
The space inside of a circle
Answers
Answer:
2
Step-by-step explanation:
the distance around a circle
A line y intercept is 2 and it's slope is 2 what is its equation in slope intercept form
Answers
Answer:
y = 2x+2
Step-by-step explanation:
y = mx+b
m = slope = 2
b = y-intercept = 2
Find the difference - 3.5 - 1.9
Answers
Answer:
1.6
Step-by-step explanation:
is this a function?
Answers
Answer:
NO
Step-by-step explanation: