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
Question 5
3 pts
(6.03)
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a
numeric value only.) (3 points)
Question 6
4 nts
Answers
Answer:
2
Step-by-step explanation:
Find the value of x. Round to the nearest degree as needed.
Answers
9514 1404 393
Answer:
x° = 59°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the trig relations. The one applicable here is ...
Tan = Opposite/Adjacent
tan(x°) = 5/3
x° = arctan(5/3) ≈ 59.04°
The value of x is about 59.
Q
is the midpoint of PR¯¯¯¯¯¯¯¯
. If PQ=4x+5,
andQR=2x+25
, what is the value of x
Answers
Answer:
x = 10
Step-by-step explanation:
Q is the midpoint of PR: PQ = QR
4x + 5 = 2x + 25
2x = 20
x = 10
Approximately 45% of films are rated R if 850 films were recently rated how many were rated R
Answers
Answer:
382.5?????
Step-by-step explanation:
because 850×45% its that
A. Write the ratio and express in simplest or lowest terms.
1. 8 hours to 10 hours
2. 40 minutes to 1 hour
3. 25 centavos to a peso
4. 2 dozens to 18 things
5. 64 km to 2 hours
Answers
Step-by-step explanation:
a 8:10
= 8/10
= 4/5
b. 1 hr = 60 min
= 40: 60
= 40/60
= 2/3
d 1 dozen = 12 things
2 dozen = 24 things
= 24: 18
= 12/18
= 2/3
A hemispherical tank is filled with water and has a diameter of 15 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answers
Answer:
55135 lbs (rounded to the nearest pound)
Step-by-step explanation:
diameter of tank = 15 ft
Radius = 15/2 =7.5
volume of hemisphere = 2/3 ×π× 7.5³=883.5729
total weight of water = 62.4 × 883.57 = 55134.768
55134.768 rounded to the nearest pound is 55135 lb
♥ Hope this helped ♥
What is the probability of rolling a 2 or 6 on a six-sided number cube?
Answers
Answer:
likely .
Step-by-step explanation:
Answer:
2 out of 6 chance
Step-by-step explanation:
Kathryn bought a magazine for $5 and eight erasers. She spent a total of $45. How much did each eraser cost?
Answers
f(x) = 5 – 0.2c and g(x) = 0.2(x + 5).
Answers
Answer:
i recommend math-way's they give you step by step or if you are work on Big ideas work use Slader they have all the answers
Step-by-step explanation:
Can someone pls help me
Answers
Answer:
10
Step-by-step explanation:
Answer: its an acute angle so its 90
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 116. Find the value of x
Answers
Answer:
[tex]x=64 \textdegree[/tex]
Step-by-step explanation:
From the question we are told that
Angle of extension [tex]y=116 \textdegree[/tex]
Generally the angle formed at x is mathematically given as
[tex]x=180-116[/tex]
[tex]x=64 \textdegree[/tex]
Answer:
26°
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 116°. Find the value of xx.
The answer is 26° i tried 64 and it was incorrect.
Two groups of students were asked how far they lived from their school. The table shows the distances in miles:
Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8
Which statement best compares the mean distances for the two groups?
It is equal for Group A and Group B.
It is greater for Group B than Group A.
Its value for Group A is double the value for Group B.
Its value for Group B is double the value for Group A.
Answers
Answer:
B
Step-by-step explanation
add all numbers then divide by the number of numbers and you get the means
Answer:
B
Step-by-step explanation:
how to write "The product of a number and -2 increased by 10"?
Answers
2(x) + 10
x • 2 + 10
x(2) + 10
Steph has 7 gallons of water josh has 26 quarts of water how many more cups of water does Steph have than josh
Answers
Answer:
8 CUPS
Step-by-step explanation:
We have to convert gallons and quarts to cups and subtract the values
1 gallon = 16 cups
7 gallons = 7 x 16 = 112 cups
1 quart = 4 cups
26 quarts = 26 x 4 = 104 cups
112 - 104 = 8 cups
Solve the inequality 2ax-3<4x+5a for all possible values of the parameter a
Answers
Answer:
Step-by-step explanation:
2ax−3<4x+5a
Step 1: Add -5a to both sides.
2ax−3+−5a<5a+4x+−5a
2ax−5a−3<4x
Step 2: Add 3 to both sides.
2ax−5a−3+3<4x+3
2ax−5a<4x+3
If Evan has 3 Jars of Cookies and each jar holds 18 cookies how many cookies does Evan have?
Answers
Answer:54 cookies in total
Step-by-step explanation: 3x18=54
Answer: 54 cookies in all
Step-by-step explanation: Evan has 54 cookies because if you do 18x3 you get 54, or if you do 18+18+18 you get 54.
=
Jean junction is selling jeans at 12% off the regular price. The regular price is $32.00 per pair. What is the discount amount
Answers
Help me? I’m giving brain
Answers
Answer:
4.31 as said
Step-by-step explanation:
Answer:
it could be 4.30 because when u divide those two the answer is 4.3057142857, and because the number in the hundreths place is just a 0 its probably just 4.30 i could be wrong sorry
what is the slope of this line, simplify if possible!
Answers
Answer:
The slope is 0
Step-by-step explanation:
the line is straight, so the slope is 0. I hope this helps
Write the ratio 32 : 24 in its simplest form
Answers
Answer:
4:3
Step-by-step explanation:
because 32:24 simpified is 4:3
subtract -10 from 100
Answers
Answer:
110
Step-by-step explanation:
Just trust me mate im in 7th grade
(q – 5) 7 simplified
Answers
Answer:
7q-35
Step-by-step explanation:
8 - 5xt-8х - 5x
how do I solve this?
Answers
Answer:
[tex]8 - 5xt - 13x[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex]8 - 5xt + ( - 8x - 5x)[/tex]
2) Simplify.
[tex]8 - 5xt - 13x[/tex]
Therefor the answer is 8 - 5xt - 13x.
You are at a restaurant. You are ordering a drink. You can choose small or large. Then you can choose between sprite, diet coke, coke, and dr pepper. How many choices or combinations do you have in total? How did you get that answer? What if now you had to choose lid or no lid? And straw or no straw? How many in total?
Answers
Answer:
so in all it's 4.
Step-by-step explanation:
1: for the drink size.
1: for the kind of drink you want.
1: for the lid or no lid.
1: for the straw or no straw
How many toothpicks make a triangle? Two triangles? Write
an expression that represents the number of toothpicks
needed to make x triangles that appear side-by-side in a
single row, as shown. Explain your reasoning,
Answers
Answer:
3 toothpicks make a triangle x =3
Step-by-step explanation:
Johanne packed 10 boxes of apples each day for 8 days. What is the total number of boxes Johanne packed?
Answers
Answer:
80 10x8 is 80
your welcomr
hey guy i need help on this
Answers
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step:
[tex](12 - 9)^{2} + \frac{15}{3} \\ (3) ^{2} + \frac{15}{3} \\ 9 + \frac{15}{3} \\ 9 + 5 \\ = 14[/tex]
Which statements are true about the function?
Answers
Answer:
it's -x,2 ur answer about this question
Which mathematical term can be defined precisely?
point
line
distance
circle
ASAP
Answers
Answer:
I think it is option A
point
hope it helps
Answer:
point
Step-by-step explanation:
Using the graph , determine the coordinates of the vertex of the parabola
Answers
Answer:
(-4,-4)
Step-by-step explanation:
Delta math
According to graph, the coordinates of the vertex of the parabola are (-4,-4).
What is parabola?"A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped."
Vertex of parabola"The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form, the vertex will be the minimum (lowest point) of the graph and the maximum (highest point) of the graph.
After analysing the graph, the vertex of the parabola are (-4,-4)
Learn more about parabola here
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