Answer:
1 − 2 cos x
Step-by-step explanation:
y' = 2 sin x
y = C − 2 cos x
1 = C − 2 cos(π/2)
1 = C
y = 1 − 2 cos x
Matt wants to purchase 3.5 pounds of Swiss cheese for a party. Each pound costs $4.95. How much will Matt pay for the Swiss cheese, rounded to the nearest whole cent?
Answer:
$17.33
Step-by-step explanation:
3.5×4.95
=17.325
= $17.33
Round your answer to the nearest hundredth..
B
?
5
2
A
С
Answer: m<B = 66.42
Step-by-step explanation:
Use cosine to find the missing angle.
Cosine = adjacent/hypotenuse
cos x = 2/5
since you know the side lengths and you’re finding the angle, use inverse cosine
cos -1 (2/5) = 66.4218215...
m<B = 66.42
Hey there!
We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.
In our case, we see that the cosine of our angle is 2/5. How do we know that?
Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"
SOH
Sine= Opposite/Hypotenuse
CAH
Cosine= Adjacent/Hypotenuse
TOA
Tangent= Opposite/Adjacent
If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.
Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).
cosΘ= 2/5
We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)
cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5
Θ ≈ 66.42
I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!
The surface area of a prism is 224 square inches. What is the surface area of a similar prism that has dimensions that are 1/4 the original dimensions?
Answer:
The surface area of the similar prism is 56 square inches
Step-by-step explanation:
Given surface area of prism, A = 224 square inches
The total surface area of a triangular prism = 2 x Area of triangle + ph
Area of triangle = ¹/₂bh
Where;
b is the base of the prism
h is the height of the prism
p is the perimeter of lateral surfaces
Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;
Product of original dimensions = 224 square inches
1/4 of the product of original dimensions = 1/4 x 224 square inches
= 56 square inches
The surface area of the similar prism = 56 square inches
Thus, the surface area of the similar prism is 56 square inches
The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.
An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base.
The top base extends 8 units to the right of the bottom base. What is the volume of the prism?
Answer:
Volume of the prism = 1950unit³ (C)
Step-by-step explanation:
The question is incomplete without the diagram of the oblique prism and its dimension.
Find attached the diagram used in solving the question.
The prism has a rectangular base:
width= 10 units
length = 13 units
The distance between the top and the bottom base = 17 units.
Volume of prism = Area of base × height
Area of base = area of rectangle = Length ×width
= 13× 10
Area of base = 130unit²
To get the height, we would apply Pythagoras theorem
Hypotenuse² = opposite² + adjacent ²
17² = h² + 8²
289 = h² + 64
h² = 289-64 = 225
h = √225
h = 15unit
Volume of the prism = 130 × 15
Volume of the prism = 1950unit³ = 1950 cubic units
Answer:
The answer is C which is 1950 on EDGE
Step-by-step explanation:
Heyy anybodyy help me please!
Answer: They are both tesselate shapes
Step-by-step explanation: The only shapes that can tesselate are the square, the equilateral triangle, and the hexagon. On this problem, it includes the equilateral triangle and the square, so therefore both of them are able to tesselate
3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?
Answer:grjjrd
Step-by-step explanation:fdfgdjj
a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm
Answer:
area=250.12. perimeter=3380
Step-by-step explanation:
was da answer people?
Answer:
39 homes
Step-by-step explanation:
The fraction of people having computers is
13/20
Multiply by the number of homes
13/20 * 60
13 * 60/20
13*3
39
39 homes
Answer:
39 Computers
Step-by-step explanation:
i never really understood how everyone does these types of question so i just do them my own way:
60/20 = 3
13*3 = 39
ʕ•ᴥ•ʔ (dats a bear)
What is the circumference of the circle? Use 3.14 for pi r=6.4 cm circle
So the right answer is of option B.
Look at the attached picture
Hope it will be helpful to you..
Good luck for your test...
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
circumference is diameter x pi
radius + radius = diameter
11+11=22
22 x pi = 69.11503837897545
If you just use 3.14
3.14 x 22 = 69.08
Step-by-step explanation:
will mark brainliest answer for fastest answer given
Answer:1/8
Step-by-step explanation:
there are 8 slices and its asking for the probability of one number. so its 1 out of 8
Answer: 1/4
Step-by-step explanation:
3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.
2/8 = 1/4
Simplify to create an equivalent expression.
2(3y + 6) -3 (-4 - y)
Step-by-step explanation:
6y+12+12+3y
=9y+24
=3(3y+8)
Solve for V in V = s 3, if s = 4. V = a0
Answer:
64\ units^{3}
Step-by-step explanation:
we have
V=s^{3}
This is the formula to calculate the volume of a cube
where
s is the length side of the cube
In this problem we have
s=4\ units
substitute
V=4^{3}=64\ units^{3}
Which is the best reason why 4 5/6+2 4/6 not equal to eight
Answer:
I want brainliest >:)
Step-by-step explanation:
4 5/6 + 2 4/6 = 6 9/6 = 7 3/6 = 7 1/2 or 7.5
not 8!!!
Solve for the height (h) of this triangular prism if the volume is 1080. The
volume of a triangular prism is V = (B)(h), where B is the area of the
triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL
BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE
FOR THE TRIANGULAR PRISM. *
h
15
8
Answer: 18
Step-by-step explanation:
Area of triangle = (0.5) × base(b) × height(h)
Base of triangle = 8
Height of triangle = 15
Area of triangle = (0.5) × 8 × 15 = 60
Volume of triangular prism = B × height
Where h = height
B = area of triangle
Volume of triangular prism = 1080
Find the height(h) of the triangular prism
Volume of triangular prism = B × height
1080 = 60 × h
h = 1080 / 60
h = 18
Can u guys help pls? This is due in 10 mins
Answer:
Question 7: 16n^8 Question 8: 6r^4 Question 4: (-1,-7) Question 6: 6y^7
Step-by-step explanation:
Do i need it?
Is -20.33 rational or irrational?
Answer:
No it is irrational (looked at it wrong)
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
5pi
Step-by-step explanation:
1. Lily is paid $5.25 per hour for raking leaves.
What is the Dependent Variable:
What is the Independent Variable:
The Rate of Change:
The Initial Value:
The Equation:
Direct / Partial:
5.25 per hour dependent
independent raking leaves
Find the midpoint of the segment with the following endpoints (6,3) and (10, – 7)
Answer:
-5/2
Step-by-step explanation:
-7-3/10-6 = -10/4 which equals -5/2
X+2y>10
1.(1,3)
2.(2,0)
3.(1,1)
4.(5,3)
Answer:
very easy just compensate using the first number for x and the other for y
let's try 5 for x and 3 for y
5+2*3=11>10 so it's the answer
4.(5,3)
Find the surface area of the prism. Write your answer as a fraction or mixed number.
Answer:
2⅔ ft²
Step-by-step explanation:
A cube has 6 square faces
6 × (⅔)²
6 × 4/9
8/3
2⅔
Answer:
[tex] 2\frac{2}{3} {ft}^{2} [/tex]
Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 72.2 inches. The length of the frame is 20.3 20.3 inches. Write an equation to find the width of the frame, x
Answer:
[tex] P = 2x+2y[/tex] (1)
And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:
[tex] P-2y = 2x[/tex]
[tex] \frac{P-2y}{2} =x[/tex]
And replacing we got:
[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in[/tex]
And the width for this case would be 15.8 in
Step-by-step explanation:
For this case we know that the photo is rectangular. Let's define:
x = the width, y= the length
And we know that the perimeter is given by:
[tex] P = 2x+2y[/tex] (1)
And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:
[tex] P-2y = 2x[/tex]
[tex] \frac{P-2y}{2} =x[/tex]
And replacing we got:
[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in [/tex]
And the width for this case would be 15.8 in
Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 20% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party?
Party Prices
• Food & Drink $300
• Game Tokens $125
• Other $85
Answer:
408$
Step-by-step explanation:
does any of yall know the answer to this shat?
Answer:
s=2
Step-by-step explanation:
subtract 21 from both sides= -3s=-6
divide by -3 to get s alone
s=2
s = 2
Step-by-step explanation:
subtract 21 to both sides
-3s= -6
then divide by -3 both sides to isolate s variable
s= 2
How milliliters will there be?
Answer: Conver 9.7 liters into milliliters!
Me: Ok
Can Yo explain: You
Me: multiply the volume value by 1000
Me: is 9700
Wow Thanks! Goodbye! :You
Me: I am smarter!
if you can help with any of these two or both that would be great ! :)
thanks
Answer:
hmmm not sure
Step-by-step explanation:
try mulitply the numbers
What is the 14th term in the sequence 6n + 1
Answer:
85
Step-by-step explanation:
6(14)+1=
84+1=
85
Hope this helps! please mark brainliest :)
what is the y-intercept of the equation y=-x?
Answer:
0,0
Step-by-step explanation:
Thank you for helping me
Answer:
thank you for giving me points ;)
Step-by-step explanation:
