Cuboid ABCDEFGH is shown
BC=6.8
DE=9.3
Find the size of the angle between CF and the Plane ABCD
NEEDS ASAP WILL MARK AS BRAINLIEST IF CORRECT
Answers
Answer:
The angle formed between CF and the plane ABCD is approximately 47.14°
Step-by-step explanation:
The given parameters are;
BC = 6.8
DE = 9.3
∠BAC = 52°
We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;
sin∠BAC = BC/(The length of a line drawn from A to C)
∴ The length of the line drawn from A to C = BC/sin∠BAC
The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63
∴ AC = 8.63
By trigonometry, we have;
The angle formed between CF and the plane ABCD = Angle ∠ACF
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}[/tex]
[tex]tan\angle ACF = \dfrac{FA}{AC}[/tex]
In a cuboid, FA = BG = CH = DE = 9.3
[tex]\therefore tan\angle ACF = \dfrac{9.3}{8.63}[/tex]
[tex]\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}[/tex]
The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°
Related Questions
At a particular time of a day, a-7-m high flagstaff casts a shadow which is 8.2m long. What is the height the building which cast a shadow 20.5m in length that the same moment
Answers
Answer:
17.5m
Step-by-step explanation:
We solve using the formula
Height /Shadow
Height of flag staff = 7m
Shadow of flag staff = 8.2 m
Height of the building = x
Shadow of the building = 20.5
= 7/8.2 = x/20.5
Cross Multiply
8.2x = 7 × 20.5
x = 7 × 20.5/8.2
x = 143.5 / 8.2
x = 17.5m
The height of the building is 17.5 m
someone help -2 • (- 4.5 ) =
Answers
Answer:
9
Step-by-step explanation:
The product of two negative numbers is a positive number, and 2(4.5) = 9.
Thus, -2 • (- 4.5 ) = 9
Find the value of angle A and angle B
Answers
hello
so these angles you can apply the "vertically opposite angles are equal" rule
angle "A" is vertically opposite to 138º so therefore angle "A" is 138º
angle "B" is verticall opposite to 42º so therefore angle "B" is 42º
hope this helped and have good day :)
Lin opened a lemonade stand during the summer. She
noticed that she sold more lemonade on warmer days.
For each day she sold lemonade, she plotted the point
(t,c), where t represents high temperature and c
represents cups of lemonade sold.
b. A computer program found that the line c= 2t - 89
is a good fit for the data. Use this equation to predict
how many cups of lemonade Lin might sell on a day
when the high temperature is 74 degrees.
c. the high temp this Sunday is expected to be 5 degrees warmer that the high temp this Saturday. using the line c = 2t - 89 how many more cups of lemonade should lin expect to sell on Sunday than Saturday? explain or show your reasoning
Answers
Answer:
59 cups ;
10 cups
Step-by-step explanation:
Given that he fitted model :
c = 2t - 89
Where, c = cups of lemonade sold ; t = high temperature
On a day when high temperature is 74 degrees ; cups of lemonade sold
Hence,
c = 2t - 89
c = 2(74) - 89
c = 148 - 89
c = 59 cups
Sunday is expected to be 5 degree warmer than on Saturday :
The number of cups sold on Sunday using the fitted model should be :
Difference in temperature between Saturday and Sunday multiplied by the slope value
Slope value from the model = 2
Temperature difference = 5
Difference in Number of cups :
2 * 5 = 10 cups
Number of lemonade sold on Sunday will be 10 cups more than that sold on Saturday
Answer: 59 cups
Step-by-step explanation:
its 59 cause yea
Martha’s bakery started with 200 cupcakes in the morning. After a busy afternoon, there were only 60 cupcakes left. By what percent did the cupcake inventory drop?
Answers
Answer:
70%
Step-by-step explanation:
140 = 200x
140/200 = x
14/20 = x
7/10 = x
70%
Answer: It dropped by 70%
Step-by-step explanation:
200-60=140
140/200=.70
A cylinder has a radius of 2x + 3 and height of 3x + 2. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V= πr^2h for the volume of a cylinder.
Answers
Answer:
[tex]v = \pi {r}^{2} h \\ v = \pi {(2x + 3)}^{2} (3x + 2) \\ v = \pi(4 {x}^{2} + 12x + 9)(3x + 2) \\ v =( 12 {x}^{3} + 36 {x}^{2} + 27x + 8 {x}^{2} + 24x + 18)\pi \\ v =( 12 {x}^{3} + 44 {x}^{2} + 51x + 18)\pi[/tex]
In 2008, the minimum wage was $8 per hour. Now it is $13. By what percent did the price change?
PLS HELP!!! :(
Answers
Answer:
62.5%
Step-by-step explanation:
13-8=5
5/8 × 100=62.5
What is the measure of ∠I? Explain. (1 point)
Answers
Answer:
112.5°
Step-by-step explanation:
its the same as G, but I need to know if you have any measurements?
f=67.5 e=75 h=105
180-67.5= 112.5
since G and I are interior opposite angles then they are the same. So I equals 112.5
if S is midpoint of GA, then?
Answers
[tex]s \: = \: \frac{g + a}{2} [/tex]
Convert 5pie/3 radians to degrees
Answers
Answer:
300 degrees
Step-by-step explanation:
After converting the given equation 5π/3 into degree, the value obtained will be equal to 300°.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given information in the question,
5π/3 radians to degree.
To convert radians to degree multiply it with 180/π
So,
5π/3 × 180/π
= 60 × 5
= 300°
To know more about Expression:
https://brainly.com/question/14083225
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Write the number 0.00004 in scientific notation.
Answers
Answer:
4.0 x 10^-5
Step-by-step explanation:
Answer:
4*10^-5
Step-by-step explanation:
Start by counting the zeros to the right of the decimal if 0<x<1. Stop when you hit a digit between 1 and 9Add 1 to the number of zerosThis is the powerExpress the number as one between 1 and 9 The power is changed to a negative, if 0<x<10.00004 has 4 zeros. Add 1 = 5
The power on 10 becomes negative (-5)
4 is a number between 1 and 9 inclusive.
4 * 10^-5
Solve the equation for x.
-x/8 = 1
x = _______
Answers
Answer:
x = -8
Step-by-step explanation:
-x/8 = 1 *-1
x/8 = -1 *8
x = -8
Leave a like if this answered your question
Can someone helppp me
Answers
Step-by-step explanation:
To find the Circumference of a triangle you use the formula C= 2(pi)r
in both of the problems you have the radius(r) and you plug the #'s in and solve
(pi)= 3.14...
#1.
2(pi)14.5
28(pi)
C= 87.92
#2.
2(pi)9.5
19(pi)
C= 56.66
(13x-26) (5x+8) HELP
Answers
Answer:
x=11
Step-by-step explanation:
13×11+26=117
5×11+8=63
117+63=180
Solve the equation.
-X +8 + 3x =X-6
Ο χ= -18
Ο χ=-14
Ο Χ=2
Ο Χ=4
Answers
y-x=sin^-1(y)-sin^-1(x)
Find dy/dx
Answers
Answer:
dydx=−1x√x2−1.
Step-by-step explanation:
Then, differentiating simplicity gives: cosydydx=−x−2 ∴dydx=−1x2cosy.
What is the multiplier? *
х y
0 0.01
1 0.005
2 0.0025
3 0.00125
options:
a) 2
b) 5
c) 1/5
d) 1/2
Answers
So like I need help............please?
Answers
7. What is the image of p for a dilation with center (0,0) and a scale factor of 2.5?
A (-2.5, 5)
B (2.5, -5)
C (2, 2.5)
D (-5, -2.5)
Answers
Answer:
A (-2.5, 5) Might Not Be Right
Step-by-step explanation:
if f(x)=3^x+10 and g(x)=4x-2, (f-g)(x)
Answers
Please help with this word problem!
Answers
Answer:
a)
x = (158-112) / 1x
or 158-112 / x
b) 112+ 23 /158-23 = x
or if you want x to be the same value as the first part then you could write
112+x / 158-x = 135/135
or revise as an equality
23 ≤ 112 < 158
112 + 23 = 158
112 + x = 158
Step-by-step explanation:
Tailwind speed
x = 158-112 / 2
x = 46/2
x = 23 knots
Speed
x = 112 + 23 / 158-23
x = 135 / 135 m/h = same speed as stated in question.
pls help with these the perosn with the correct answer will get a brainliest
Answers
Answer:
17 and 20
Step-by-step explanation:
omg I can't explain it took much time to solve I've got no time
im so sorry
Deloria says she can find the relative frequency of nuts based on another relative frequency. What might she be doing?
Answers
Answer:
frequency of nuts based on another relative frequency. What might
she be doing
nuts:3/30=15%
In PITI what does one / stand for?
O A. Inflation
O B. Investment
O C. Interest
O D. Initial
Answers
Answer: C. Interest
Step-by-step explanation: just took the quiz.
I stand for Interest in PITI.
What is Interest?Interest is the price you pay to borrow money or the cost you charge to lend money.
Interest is most often reflected as an annual percentage of the amount of a loan.
Capital, interest, taxes and insurance, known as PITI (for its acronym), are the four basic elements of a monthly mortgage payment.
Capital and interest payments are used to pay the loan. The amount covered by the property tax and home insurance can be deposited in an escrow account or escrow account, if you are required to have one or have decided to open it, in order to cover the payments of such property taxes and homeowners insurance. housing as they expire.
Hence, I stand for Interest in PITI.
Learn more about Interest click;
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there are rational numbers that are integers / true or false
Answers
This is a true statement.
Answer:
True
Step-by-step explanation:
hope it helps
a mealworm crawled 2.1 meters in 6 minutes. At that rate, how many meters did the mealworm crawl in 1 minute
Answers
Answer:
the mealworm would've crawled 0.35 meters in one minute
Step-by-step explanation:
Ok, 2.1 meters in 6 minutes, how long did it travel in 1 minute?
to get 6 minutes to 1 minute, we need to divide 6 by 6 to get to 1.
we need to divide 2.1 by 6
2.1 / 6 = 0.35
good luck my friend!
-cheesetoasty
I need your help, please answer!!
Answers
Answer:
includes cluster lienier includes oulier
Step-by-step explanation:
:)
Solve the right triangle
Answers
Answer
measure of angle A: 28 degrees
BC ≈ 13.3
BA = 28.3
hope this helps
Step-by-step explanation:
angle A
90- 62 = 28
angle A = 28
BC
tan (A) = BC / 25
(25) tan 28 = BC / 25 (25) multiply 25 on both sides to cancel it out from BC
13.292735 = BC
BC ≈ 13.3
BA
BA^2 = 13.3^2 + 25^2 Pythagorean theorem
BA ≈ 28.3
If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)
Please help
In order for you to carry a bag on the plane, it must t inside the Carry-on Baggage Check Box.
The Carry-on Baggage Check Box has dimensions of approximately 22" x 14" x 9". Your leather bag has a
height of 18 inches, a depth of 12 inches, and a width of 8 inches. Your canvas bag has a height of
18 inches, a depth of 15 inches, and a width of 10 inches.
1. What is the volume of the Carry-On Baggage Check Box?
2. What is the volume of the leather bag?
3. What is the volume of the canvas bag?
4. Which bag will denitely t into the Check Box? Explain.
Answers
Step-by-step explanation:
guessing
volume is always unit cubed
so in this case inches cubed or in^3
so multiply all 3 numbers
carry on is 22×14x9= 2772 in^3
leather is 18×12×8 = 1728 in^3
canvas is 18×15×10 = 2700 in^3 but the depth in ge's canvas 15" in larger than the carry on checklist
so
the leather will definitely fit
Which word describes the slope of the line?
positive
negative
zero
undefined
Answers
Answer:
zero
Step-by-step explanation:
Answer:
zero
Step-by-step explanation:
if the line were to be vertical then it would be undefined
positive if the line went diagonally with the line going to the top right
negative if it went from top left to bottom left
