Answers
Answer: [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]
Step-by-step explanation:
[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]
Related Questions
The function f(x) = x + is used to complete this table.
A 2-column table with 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f of x with entries 1, three-halves, 2, five-halves.
Which statements are true of the given function? Check all that apply.
fStartFraction negative 1 Over 2 EndFraction = –2
f(0) = three-halves
f(1) = –1
f(2) = 1
f(4) = seven-halves
Answers
Answer:
b & e
Step-by-step explanation:
The statements that are true of the given function are f(0)=3/2 and f(4)=7/2. This can be obtained by finding the function and checking the values of given in the question.
Check which statements are true :
Given, f(-1/2)= -2
f(0)= 3/2
f(1)= -1
f(2)= 1
f(4)= 7/2
The function is of the form, f(x)= mx +b
where m is the slope of the line and b is the cutting point with the y axis.
For x=0, the value of the function is f(0)=3/2
⇒b=3/2 and m=1/2
∴ The function is f(x) = (1/2)x + 3/2
f(-1/2) = (1/2)(-1/2) + 3/2 =5/4
f(0) = (1/2)(0) + 3/2 = 3/2
f(1) = (1/2)(1) + 3/2 = 2
f(2) = (1/2)(2) + 3/2 = 5/2
f(4) = (1/2)(4) + 3/2 = 7/2
Hence the statements that are true of the given function are f(0)=3/2 and f(4)=7/2.
Learn more about functions here:
brainly.com/question/32813328
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What is the result when 4x^3+5x^2+13x+34x 3 +5x 2 +13x+3 is divided by 4x+14x+1?
Answers
Answer:
38^3+10^2+26x+3 over 18x+1
Step-by-step explanation:
Start by adding x's that are alike together.
4x^3+34x^3= 38^3
then do the same to the other x's
5x^2+5x^2= 10^2
Last x's
13x+13x=26x
For the final equation, you should have
38^3+10^2+26x+3
For the bottom equation, you do the same thing.
4x+14x= 18x
Final equation, really easy, is 18x+1
For the final answer you should have
38^3+10^2+26x+3 over 18x+1
Lmk if it helps!! :)
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!
Answers
Answer:
(x+8)²-2=0
(x+8+√2)(x+8-√2)=0
x= - 8- √2 = -9.41 lesser x
x= -8 + √2 = -6.59 greater x
Answer:
[tex]\mathrm{Decimal}:\quad x=-6.58578\ ,\:x=-9.41421[/tex]
Step-by-step explanation:
[tex]\left(x+8\right)^2-2=0\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\\left(x+8\right)^2-2+2=0+2\\Simplify\\\left(x+8\right)^2=2\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+8=\sqrt{2}:\quad x=\sqrt{2}-8\\x+8=\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\sqrt{2}-8\\\mathrm{Simplify}\\x=\sqrt{2}-8[/tex]
[tex]\mathrm{Solve\:}\:x+8=-\sqrt{2}:\quad x=-\sqrt{2}-8\\x+8=-\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=-\sqrt{2}-8\\\mathrm{Simplify}\\x=-\sqrt{2}-8\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=\sqrt{2}-8,\:x=-\sqrt{2}-8\\\mathrm{Decimal}:\quad x=-6.58578 ,\:x=-9.41421[/tex]
Factor completely 10x2 + 2x − 8
Answers
Step-by-step explanation:
[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]
Answer:
[tex]2(5x-4)(x+1)[/tex]
You can check the answer by re-distributing the 2 and using the foil method :)
Y=10 when x=8 what is x when y=30
Answers
Answer:
X= 24
Step-by-step explanation:
Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3
Answer:
28 or 24 im not sure which
Find the volume of a pyramid with a square base, where the side length of the base is 7.5 cm and the height of the pyramid is 10.2. Round your answer to the nearest tenth of a cubic centimeter
Answers
Answer:
The volume is 191.3 [tex]cm^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by the formula:
[tex]Volume=\frac{B\,*H}{3}[/tex]
where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2
Now, we use this value and the height 10.2 cm to find the volume:
[tex]Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3[/tex]
which rounded to the nearest tenth is: 191.3 [tex]cm^3[/tex]
Answer:
191.3
Step-by-step explanation:
Please help its not working
Answers
Answer:
[tex]33\%[/tex]
Step-by-step explanation:
To work out the percentage of the circle shaded blue, we first must work out the area of the whole circle.
Area of the whole circle = [tex]\pi r^2[/tex]
[tex]r=4+3+3\\\pi * (4+3+3)^2=\pi*10^2=100\pi[/tex]
Now we need to work out the area of the blue 2d torus, by finding out the area of the blue circle, then subtracting the area of the innermost white circle.
Blue shaded area = [tex]\pi(r_{0}{^2}-r_{1}{^2})[/tex]
[tex]r_0=4+3\\r_1 = 4\\\pi ((4+3)^2-(4)^2)= \pi (7^2-4^2)=33 \pi[/tex]
Now we have the total areas of each, we can work out the fraction of blue to non blue by dividing the blue area by the total area, and then working out the percentage by multiplying by 100.
[tex]\frac{33\pi}{100\pi}*100=\frac{33\pi}{\pi}=33\%[/tex]
Which graph represents the function f(x) =three-halves(2)x? On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 3), (2, 9). On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 2) and goes through (1, 3), (2, 4.5), (3, 7) On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 2), (2, 4), (3, 8). On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1.5) and goes through (1, 3), (2, 6).
Answers
Answer:
its the fourth one on edg
Step-by-step explanation:
Answer:
The last option :)
Step-by-step explanation:
Find the area of the triangle. Round your answer to the nearest tenth.
A) 101.3 m^2
B) 58.5 m^2
C) 29.3 m^2
D) 50.7 m^2
Answers
Answer:
A
Step-by-step explanation:
WILL GIVE BRAINLY 3RD GRADE
What is 1 + 2 + 3 times 78
Answers
Answer:
468
Step-by-step explanation:
Answer:
237
Step-by-step explanation:
This is written as 1+2+(3x78)
=3+234
=237
A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the surface area of the box in terms of length only
Answers
Answer:
[tex]\dfrac{2s^3+136}{s}[/tex]
Step-by-step explanation:
Let the side length of the square base =s feet
Let the height of the box = h
Given that the volume of the box = [tex]34$ ft^3[/tex]
Volume of the box =[tex]s^2h[/tex]
Then:
[tex]s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}[/tex]
Surface Area of a Rectangular Prism =2(lb+bh+lh)
Since we have a square base, l=b=s feet
Therefore:
Surface Area of our closed box[tex]= 2(s^2+sh+sh)[/tex]
[tex]S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}[/tex]
0.9a+4.96=3.6+1.4a what is the answer simplfy
Answers
Explanation:
Move all the terms containing a to the left side of the equation
-0.5a+4.96=3.6
Subtract 4.96 from right side
-0.5a=3.6-4.96
Would be
-0.5a=-1.36
Divide each term by -0.5 and simplify
a= 2.72
Answer:
2.72
Step-by-step explanation:
the other one copied my answer from another website.
Explanation:
Move all the terms containing a to the left side of the equation
-0.5a+4.96=3.6
Subtract 4.96 from right side
-0.5a=3.6-4.96
Would be
-0.5a=-1.36
Divide each term by -0.5 and simplify
a= 2.72
On a shelf there are 6 novels, 8 poetry books, and 4 mystery books. What is the probability that person A chooses a novel,then a mystery and walks away, then person B picks a mystery and a poetry book?
Answers
Answer:
2/255
Step-by-step explanation:
In total, there are 18 books on the shelf.
The probability that person A will pick a novel is 6/18 = 1/3
There are now 5 novels and 17 total books on the shelf
The probability that person A then picks a mystery is 4/17.
There are now 3 mysteries and 16 total books on the shelf.
The probability that person B then picks a mystery is 3/16.
There are now 2 mysteries and 15 total books on the shelf.
The probability that person B then picks a poetry book is 8/15.
The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:
1/3 * 4/17 * 3/16 * 8/15 = 2/255
A gift has the dimensions of 50 cm x 35 cm x 5 cm. You have wrapping paper with
dimensions of 75 cm x 60 cm. Do you have enough wrapping paper to wrap the gift? Why
or why not?
Answers
Answer:
Yes, there is enough wrapping paper
The area of the wrapping paper is greater than area of the gift
Step-by-step explanation:
What to do is to check the area of the wrapping paper and the gift if equal.
Looking at the dimensions of the gift, it is a cuboid
Area of a cuboid = 2(lb + lh + bh)
where l, b and h are 50, 35,5 respectively
= 2(250 + 175 + 1750)
= 4350 cm^2
The area of the wrapping paper is just the product of its side = 75 * 60 = 4500 cm^2
We can see clearly that the area of the wrapping paper is greater than area of the gift.
so we can conclude that it is enough to wrap the gift
If someone could do this it’s be greatly appreciated!
Answers
Answer:
a). A = -2x² + 200x
b). Widths = 40 feet and 60 feet
Step-by-step explanation:
It is given that length of the fencing material = 200 feet
a). Peg wants to cover the vegetable garden from three sides with the given fencing material.
If length of the garden = l
and width of the garden = x
l + x + x = 200
l + 2x = 200
l = (200 - 2x) feet
Therefore, area of the garden = Length × width
A = [tex](200-2x)\times x[/tex]
A = -2x² + 200x
b). Foe A = 4800 square feet,
4800 = -2x² + 200x
2x² - 200x + 4800 = 0
x² - 100x + 2400 = 0
x² - 60x - 40x + 2400 = 0
x(x - 60) - 40(x - 60) = 0
(x - 60)(x - 40) = 0
x = 40, 60 feet
Therefore, widths of Peg's garden will be 40 feet and 60 feet.
the compounding of this question
Answers
A group of 10 friends are in line to see a movie. The table shows how much different groups will pay in all. Predict how much the group of 10 will pay.
Answers
Answer: Wheres the table
Step-by-step explanation:
Answer:
Step-by-step explanation:
40
In training for a swim meet, Kelly swam 600 meters in 1/3 hour. Her swimming partner Eva swan 2/3 of Kelly’s distance in 1/5 hour. How many meters did Eva swim in 1/5 hour and what was her average swimming speed?
Answers
Answer:
Eva swam 400 meters in 1/5 hour. Her average swimming speed was 2000 meters per hour.
Step-by-step explanation:
Eva swam 2/3*600 meters in 1/5 hour. 2/3*600=400. She swam 400 meters in 1/5 hour, which means she swims 5*400 meters in a whole hour. Eva swims 2000 meters per hour.
What is the slope? Help me please
Answers
Answer: Slope of 2.
Step-by-step explanation:
Start at where the line meets on the y-axis, -7. Then work your way upwards until you see the line align with a value of x, like (1,-5). Then you see a trend of it going up 2 units and over 1. 2/1 or 2 is your slope.
Answer anyone please ?!
Answers
Answer:
A & D
Step-by-step explanation:
Vertical angles are equivalent angles made by intersecting lines. ISN and TSW, and TSN and ISW face each other and are equivalent.
They’re opposite angles made from 2 intersecting lines.
can you help me with this range problem?
Answers
Answer:
A) 3
Step-by-step explanation:
The range is the highest value - the lowest value from the data
The data given is 1,2,3,4
Highest value: 4
Lowest value: 1
So range = 4-1
= 3
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answers
Answer:
7-x
Step-by-step explanation:
49 - x^2 is a perfect square so
it factors to :(7+x)(7-x)
since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)
Forgive me for my lame explanation :')
factored form of 2x*2+13x+20
Answers
Answer:
(2x+5)(x+4)
Step-by-step explanation:
After factoring we can find that it equals
(2x+5)(x+4)
Answer:
(2x +5) (x+4)
Step-by-step explanation:
2x*2+13x+20
(2x + )(x+ )
Factoring 20 into 4 and 5 so we can get 13 in the middle
(2x +5) (x+4)
2*4 +5 = 13 for the middle term
Find the slope of the line that passes through (2, 5) and (7, 8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
(8-5)/(7-2)= 3/5
Step-by-step explanation:
proper fraction
126/21 The simplest form
Answers
[tex] \dfrac{126}{21} = \dfrac{2 \times 3 \times 3 \times 7}{3 \times 7} = 6[/tex]
Answer: 6
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!
Answers
Answer:
f⁻¹(f(6.022)) = 6.022
f⁻¹(-10) + f(-6) = -6 + -10 = -16
Step-by-step explanation:
f⁻¹(f(x)) = x
so f⁻¹(f(6.022)) = 6.022
inverse function flips y and x coordinates so look at table where f(x)=-10 and read x so f⁻¹(-10) = -6
f⁻¹(-10) + f(-6) = -6 + -10 = -16
A square has a side length of 3 inches. What is the length of the diagonal distance across the square ?
Answers
Answer:
4.243
Step-by-step explanation:
To calculate the diagonal of a square, multiply the length of the side by the square root of 2:
d = a√2
d = 3√2=4.24264068
Find the slope and y-intercept of the line through the pair of points L(-9,6),M(-1,9)
Answers
Answer:
The slope is 3/8
The y intercept is 75/8
Step-by-step explanation:
The slope is found by
m= (y2-y1)/(x2-x1)
= (9-6)/(-1- -9)
= (9-6)/(-1+9)
=3/8
The y intercept is found by
y = mx+b where m is the slope and b is the y intercept
y = 3/8 x+b
9 = 3/8(-1) +b
Getting a common denominator
72/8 = -3/8 +b
Add 3/8 to each side
75/8 = b
The y intercept is 75/8
Answer:
3/8, 9 3/8
Step-by-step explanation:
y= mx+b
m=(y2-y1)/(x2-x1)
L (-9, 6) and M(-1, 9)
slope is:
m= (9-6)/(-1+9)= 3/8y- intercept is:
6=3/8*(-9)+bb= 6+27/8= (48+27)/8= 75/8= 9 3/8Find the third side in simplest radical form
Answers
Answer:
[tex] 2 \sqrt{71} \: units[/tex]
Step-by-step explanation:
Given is a right angled triangle in which third side is the hypotenuse.
Therefore, by Pythagoras theorem:
[tex]thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units[/tex]
Please answer if you know..?
Answers
Answer:
B→A
Step-by-step explanation:
I'm pretty confident in my answer.