Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
what is -5/9 = -10/3 v
Answer:
v= 1/6
Step-by-step explanation:
1. Simiplify 10/3v = 10/3v -5/9= -10v/3
2. Multiply both sides by 3
3. Use this rule : a/b × c = ac/b
4. 5× 3= 15 -15/9= -10v
5. Simiplify 15/9 = 5/3 -5/3 = -10v
6. Divide both side by -10 -5/3/-10=v
7. Two negative make a postive 5/3/10 = v
8. Simplify 5/3/10= 5/3×10
9. Simplify 3×10=30 5/30=v
10. Simplify 5/30 = 1/6v
11. Swith sides v= 1/6
25 divided by 12 PLEASE answer quick
24 divided by 12 equals 2,083
The division of 25 by 12 gives the quotient 2 and remainder is 1.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
Given:
We have to divide 25 by 12.
The division is as follow:
12| 25 | 2
24
______
1
Thus the Quotient is 2 and remainder is 1.
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This is for geometry and I need help!
Answer:
B, C, E, and F
Step-by-step explanation:
Recall the acronym for trigonometric functions: SOHCAHTOA
Thus:
B = 180 - (48 + 90) = 42°
Let's find the trigonometric functions using 42° as the reference angle:
Opp = b
Hyp = c
Adj = a
Applying SOH:
Sin 42 = opp/hyp
✅Sin 42 = b/c (option C is correct)
Applying CAH:
Cos 42 = adj/hyp
✅Cos 42 = a/c (option A is incorrect)
Applying TOA:
Tan 42 = opp/adj
✅Tan 42 = b/a (option E is correct)
Using 48° as reference angle:
Opp = a
Hyp = c
Adj = b
Applying SOH:
Sin 48 = opp/hyp
✅Sin 48 = a/c (option D is incorrect)
Applying CAH:
Cos 48 = adj/hyp
✅Cos 48 = b/c (option B is correct)
Applying TOA:
Tan 48 = opp/adj
✅Tan 48 = a/b (option F is correct)
Who can answer this problem
Answer:
5440
Step-by-step explanation:
85 × 2 × 2 × 2 × 2 × 2 × 2 = 5440
Answer:
5,440
Step-by-step explanation:
85+85
170+170
340+340
680+680
1360+1360
2720+2720
double it 6 times
Find the value of x.
HELP
x² = 6² + 19²
x² = 36 + 361
x = √397
Help me on this please
9514 1404 393
Answer:
sin(θ) = 4/5cos(θ) = 3/5tan(θ) = 4/3Step-by-step explanation:
The mnemonic SOH CAH TOA was created to help you remember the relevant trig relationships. It is intended to remind you ...
Sin = Opposite/Hypotenuse
sin(θ) = 4/5
Cos = Adjacent/Hypotenuse
cos(θ) = 3/5
Tan = Opposite/Adjacent
tan(θ) = 4/3
__
In a right triangle, the opposite side (PQ) is the one that is not part of the angle (∠R = θ). The adjacent side (QR) is the shorter side that makes up the acute angle. The longest side (PR) is the hypotenuse.
HELP ASAP!!!!!! PLEASE
Answer:
(x,y) --> (-y,-x) is the rule
Step-by-step explanation:
(-1,3) to (-3,1)
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x – 5y 20?
Answer:
y=-5x/4-2
Step-by-step explanation:
4x – 5y = 20
y = (4/5)x - 4
slope is 4/5
let new slope m:
(m)(4/5)=-1
m=-5/4
point slope form:
(y-3)/(x+4)=-5/4
y-3=-5x/4-5
y=-5x/4-2
What are the letters where the y coordinate is bigger than the x?
Answer:
O, A, T, and I
Step-by-step explanation:
the y coordinate is bigger than the x coordinate
Prove that the recurring decimal 0.43333... has the value 13/30
Answer:
0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
x = 0.43333......
Multiply the equation by 10 on both sides, then we have
10x = 10 × 0.43333......
10x = 4.33333...... ...1
Multiply the equation by 100 on both sides, then we have
100x = 100 × 0.43333......
100x = 43.33333...... ...2
Subtract equation 1 from equation 2, then we have
100x - 10x = 43.3333.... - 4.3333.....
90x = 39
x = 39 / 90
x = 13 / 30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
More about the Algebra link is given below.
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A digital communication channel transmits bits of information, usually designated as 0 and 1. If a sender transmits a 0, he/she hopes the recipient receives a 0. If a sender transmits a 1, he/she hopes that the recipient receives a 1. Unfortunately, this is not always the case. Suppose on a certain transmission line, a transmitted 0 is received correctly 90% of the time (10% of the time a 1 is received), and a transmitted 1 is received correctly 74% of the time. (26% of the time a 0 is received.) It is known that on this transmission line, 80% of all bits transmitted are 0 bits. A randomly selected transmitted bit is examined. Say its value is X. The bit received is Y. a.What is the probability that X
Answer:
a) 0.80
b) 0.72
c) 0.02
Step-by-step explanation:
It is assumed that
X = Bit transmitted
Y = Bit received
[tex]X^{0}[/tex] = Transmissted bit is 0
[tex]X^{1}[/tex] = Transmissted bit is 1
[tex]Y^{0}[/tex] = Received bit is 0
[tex]Y^{1}[/tex] = Received bit is 1
As per the given condition
P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 90%
P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] = 100% - 90% = 10%
P [ [tex]Y^{1}[/tex] | [tex]X^{1}[/tex] ] = 74%
P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 100% - 74% = 26%
P [ Tramitted bits are 0 ] = 80%
Now calculate each situation
a)
As all the transmitted bits are o has possibilit of 80% then
P [ X = 0 ] = P [ [tex]X^{0}[/tex] ] = 80% = 0.80
b)
P [ X = 0, Y = 0 ] = P [ [tex]X^{0}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] x P [ [tex]X^{0}[/tex] ] = 90% x 80% = 72% = 0.72
c)
P [ X = 1, Y = 0 ] = P [ [tex]X^{1}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] x P [ [tex]X^{1}[/tex] ] = 10% x ( 100% - 80% ) = 10% x 20% = 2% = 0.02
Which polynomial represents the difference below? 10x^8 + 11x^6 - 2x + 5 - (8x8 + 6x7 - 5)
Answer:
[tex]2x^8-6x^7+11x^6-2x+10[/tex]
Step-by-step explanation:
To find: [tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)[/tex]
Solution:
Like terms refer to terms with same variables and same powers.
Two like terms can be added or subtracted.
Consider the following expression:
[tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)=10x^8+11x^6-2x+5-8x^8-6x^7+5\\=(10-8)x^8-6x^7+11x^6-2x+(5+5)\\=2x^8-6x^7+11x^6-2x+10[/tex]
(Here, like terms are added or subtracted)
how do u solve 5/2x-7=3/4x+14
Answer:
x=12
Hope this help :)
Which function is increasing and has a domain of (1, 0);
A. f(t) = log(t – 1) + 2
B. f(x) = -log(x - 1) + 2
C. f(t) = log(x - 2) + 1
D. f(x) = -log(x - 2) + 1
The function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
The question is incomplete.
The complete question is:
Which function is increasing and has a domain of (1, ∞);
A. f(t) = log(t – 1) + 2B. f(x) = -log(x - 1) + 2C. f(t) = log(x - 2) + 1D. f(x) = -log(x - 2) + 1As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Graph the function f(t) = log(t – 1) + 2 on a coordinate plane.
As we can see in the graph, the graph of a function has a domain:
(0 , ∞)
And the function is increasing.
Thus, the function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
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Answer:
A. f(t) = log(t – 1) + 2
Step-by-step explanation:
I took the test
Select a letter for the correct ans
A cone-shaped vase has a height of 15 centimeters and a diameter of 8 centimeters.
What is the volume of the vase? Round to the nearest tenth.
Answer just
Answer:
251.4cm² is the area of the cone-shaped vase.
Make a sketch of a fourth degree polynomial function with two complex roots and two real roots
I cannot really graph it but I will try my best to explain.
When you have a coordinate plane draw from right to left, up to down.
Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots
Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.
This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.
Y=3(x+2)^2-3 in standard form
Y= x2 - 12x + 15 Y=3(x+2)^2-3 in standard form
Write the equation of a quadratic function who has the vertex of (4,-7)
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
[tex]y=a(x-4)^2+(-7)[/tex]
[tex]y=a(x-4)^2-7[/tex]
The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.
Putting a=1, we get
[tex]y=(1)(x-4)^2-7[/tex]
[tex]y=(x^2-8x+16)-7[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=x^2-8x+9[/tex]
Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].
math HELPPP MEEEEEEEE
Answer: I HAVE YOUR ANSWER!!!!!
Step-by-step explanation:
51x + 26y + 17
sqrt x^7 ...........
Answer:
[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]
Step-by-step explanation:
An easier way to approach this is to separate the inside first.
[tex]\sqrt[]{x*x*x*x*x*x*x}[/tex]
Now you can group together pairs of 2, and they come out as one.
[tex]x*x*x\sqrt{x}[/tex]
Multiply all the xs on the outside, and you get
[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]
decreases slowly
decreases quickly
increases quickly
increases slowly
Answer:
increases slowly
Step-by-step explanation:
ghehjje euheje heyru
Which translation transformed the parent function, f(x),
to g(x))?
a translation right 2 units
a translation left 2 units
a translation up 2 units
a translation down 2 units
Answer:
A. a translation right 2 units
Step-by-step explanation:
JUST DID IT.
Use a table of Laplace transforms to find the Inverse Laplace transform of
F(s)= [tex]\frac{3s+9}{s^2+9}[/tex]
f(t)=_____
Answer:
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
Step-by-step explanation:
In this case, we should use the following direct and inverse Laplace Transforms:
[tex]F(s) = G(s) + H(s)[/tex] (1)
[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)
[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)
[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)
Then, we apply all these trasforms:
[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]
[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]
[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
Aditi fed her dog 1 1/2
cups of dog food in the morning and
3/4 of a cup of dog food in the evening. How many cups did she feed her dog in all?
10 If each equation below is solved for x, for which equation is x = 8 the solution?
Choose all that apply.
A 3x = 24
B 7x = 56
C 9x = 17
D 13 - X= 21
EX - 15 = -7
13 in = ___________ ft
Answer:
1.0833333 Feet
Hope this helps! If I could have brainliest im trying to level up.
Step-by-step explanation:
13 Inches =
1.0833333 Feet
(rounded to 8 digits)
I really need help quick please
Cora babysat for 3 1/2 hours and charged at $28. At the same hourly rate, what would she charge for 5 1/2 hours of babysitting?
42.9 goodluck :) ...
Which of the following describes volume? I. the amount of frosting on a cake II. the amount of space in a sock drawer III. the distance between two cities IV. the amount of fabric needed to cover a couch cushion
A. II
B. III
C. IV
D. I
Answer:2
Step-by-step explanation:
A triangle has an area of 41.5 square centimeters and a base of 8.3 centimeters. What is the height?
Answer:
10 cm
Step-by-step explanation:
[tex]\boxed{area \: of \: traingle = \frac{1}{2} \times base \times height}[/tex]
Substitute known values into the formula:
41.5= ½ ×8.3 ×height
41.5= 4.15 ×height
height
= 41.5 ÷4.15 (÷4.15 on both sides)
= 10cm
Answer:
10 cm.
Step-by-step explanation:
You will first need the formula for finding the Area of a Triangle:
Area = 1/2(Base x Height)
Next, we need our known measurements to plug into the Equation:
41.5 Sq Cm = 1/2(8.3cm x Height)
After that, multiply the equation by 2
2 x 41.5 = (2 x 1/2) x (8.3cm x Height)
∨
83 sq cm = 8.3 cm x Height
Finally, divide your area by 8.3 cm:
83 / 8.3 = 10cm = Height
So, the answer is Height = 10 cm.
Good Luck!