Can y’all help me on question 32?!
Answer:
b. 96
Step-by-step explanation:
triangle area= b x h / 2
5 x 6 /2= 15
15 x 4 (4 triangles)= 60
square area= b x h
6x6=36
36 + 60 = 96
(y-4)^0 - 3y^0 for y = 1
Answer:
(1-4)^0-3y^0
( -3)^0 -3^0
1 -1
0
Answer:
-2
Step-by-step explanation:
(y -4)^0 - 3y^0
substitute the value of y
(3-4)^0 - 3*1^0
(-1)^0 - 3*1
1 - 3
-2
Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)
Answer:
Tan B = 15 / 8
Step-by-step explanation:
Giveb the triangle :
The hypotenus :
Using Pythagoras rule :
Hypotenus² = 15² + 8²
Hypotenus² = 225 + 64
Hypotenus = 17
Tan B:
Using the trigonometric relation :
Tan B = opposite / Adjacent
Tan B = 15 / 8
If you are multiplying by the vertical method as seen below, what is the value of C?
QUICK QUESTION!
Answer:
option 1
Step-by-step explanation:
[tex]x^2[/tex] [tex]-2x[/tex] [tex]+8[/tex]
[tex]x[/tex] [tex]-4[/tex]
_____________________
[tex]-4x^2[/tex] +8x -32
[tex]x^3[/tex] [tex]-2x^2[/tex] +8x 0
_______________________
[tex]x^3[/tex] [tex]-6x^2[/tex] +16x -32
[tex]A =+ 8x\\\\B = -2x^2\\\\C= +16x[/tex]
537 miles in 30 hours
When a triangle is inscribed in a semicircle where a diameter of the circle is a side of the triangle, the triangle formed is always a right triangle. If an isosceles triangle (two equal sides) is inscribed in a semicircle with a radius of 9 inches, find the length of the two legs of the triangle.
Answer:
Step-by-step explanation:
diameter = 18 inches
each leg = 18/√2 = 9√2 ≅ 12.7 inches
The length of the two legs of the isosceles triangle is 9√2.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
When a triangle is inscribed in a semicircle with one side being the diameter of the circle, a right triangle is always created.
Also, the radius of semicircle is 9 inches,
Since, the isosceles triangle inscribed in the semicircle.
Sides of an isosceles triangle are equal, therefore the corresponding angle will also equal.
The sum of all three angles of a triangle is 180°
x+x+90 = 180
2x = 90
x=45
radius of circle is 9 inches, therefore diameter of circle = 18 inches
Apply sin rule,
18/sin90 = x/sin45
18/1 = x/1/√2
x= 9√2
The length of the side of the isosceles triangle is 9√2.
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Cory has received the following grades this term: 75, 87, 90, 88, 79. If he wishes to earn an 85 average, what must he score on his final test?
Answer:
A 91.
Step-by-step explanation:
[tex]\frac{75+87+90+88+79+x}{6}=85\\\\\frac{419+x}{6}=85\\\\(\frac{419+x}{6})6=85*6\\\\419 + x = 510\\\\419-419+x=510-419\\\\\boxed{x = 91}[/tex]
Shift parabolas
f(2)=z²
g(x) = (x+4)^2 - 1
We can think of g as a translated (shifted) version of fi
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f up/down
by
units and to the right/left
by
units.
HELP ME PLEASEEEEEEEEEEEEEEEEEE
Answer:
y = 3/2x + 15
Step-by-step explanation:
change f(x) to 'y='
interchange 'x' and 'y' then solve for 'y':
y = 2/3x - 10
x = 2/3y - 10
x+10 = 2/3y
multiply each side by 3/2 to get:
y = 3/2x + 15
Chang knows one
sides of this
side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
triangle?
• 5 cm and 8 cm 8
•
6 cm and 7 cm
•
7 cm and 2 cm
®
8 cm and 9 cm
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Answer:
(d) 8 cm and 9 cm
Step-by-step explanation:
The sum of the other two side lengths must exceed 13 cm for a triangle to be possible.
8 cm and 9 cm
Hey, everyone. This is from canvas, the picture I included was my grade. I believe this is called Box and Whiskers, I'm not sure as it's been a while since I have done math.I just want to confirm that the end of the box is the 75th percentile.
Answer:
Yes
Step-by-step explanation:
This is called Box and Whiskers or box plot.
The box in the middle contains 50% of data and the right end of the box is 75th percentile, you are correct.
25% of data is distributed to the left and 25% of data to the right of the box that is in the middle.
How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
Answer:
18
Step-by-step explanation:
make 11 1/4 into improper fraction > 45/4
multiply by 2 so it has same denominator > 90/8
90/8 divided by 5/8 = 18
Answer:
18 binder clips
Step-by-step explanation:
The question basically asks, how many 5/8 inch binder clips can you add to get 11 1/4 inches.
To get the answer, you simply divide 5/8 by 11 1/4.
To divide first convert 11 1/4 to an improper fraction. To get an improper fraction you multiply the denominator by the whole number and then add the numerator. Here it would be (11*4)+1= 45 so 11 1/4 as a mixed fraction would be 45/4.
Now you can divide.
[tex]\frac{45}{4} / \frac{5}{8}[/tex]
To divide, use the chant, "keep, change, flip". Keep the 45/4, change the division to multiplication, and flip the 5/8.
You would get this:
[tex]\frac{45}{4} *\frac{8}{5}[/tex]
There are multiple ways to solve now. You can just multiply the numerator and then the denominators to get 360/20 and simplify to get 18 OR you can cross multiply and change the 45 to 9 because 45/5 is 9 and change the 8 to 2 because 8/4 is 2 and then multiply 9 by 2 to also get 18.
I hope it helps!
Please someone help me!
Answer:
12000 rad/min
Step-by-step explanation:
One formula we can use here is that the linear speed is the same, and the linear speed is equal to the angular speed multiplied by the radius.
Therefore, 2400π rad/min* 35 cm = 7 cm* x, with x representing the angular speed of the smaller wheel in radians per minutes. Dividing both sides by 7 cm, we get
2400π rad/min * 35 cm / 7 cm = x
2400 π rad/min * 5 = 12000 rad/min = x as our answer
What is the solution to
3x*2-2x+4=0
Answer:
Step-by-step explanation:
[tex]3x^2 - 2x + 4 = 0[/tex]
a = 3, b = -2, c = 4
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{2 \pm \sqrt{2^2 - (4 \times3 \times 4} )}{2 \times 3}\\\\x = \frac{2 \pm \sqrt{4 - 48} }{6}\\\\x = \frac{2 \pm \sqrt{-44} }{6}\\\\x =\frac{2 \pm 2i \sqrt{11} }{6}\\\\x =\frac{1 + i \sqrt{11} }{3}\ , x =\frac{1 - i \sqrt{11} }{3}\\\\\\\\[/tex]
If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club?
Step-by-step explanation:
there are 13 cards per 4 suits, totalling 52 cards in an entire deck
13 represents an entire 1 suit out of 52 cards
13/52 = 0.25
thus your answer is 0.25% or 1/4
the sum of four consecutive even integers is 256. what are the numbers?
no troll ones, please! those who do attempt to will get reported immediately !
Answer:
61 , 63 , 65 , 67
Step-by-step explanation:
Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:
(x) + (x + 2) + (x + 4) (x + 6) = 256
First, simplify. Combine all like terms:
x + x + x + x + 2 + 4 + 6 = 256
4x + 12 = 256
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides of the equation:
4x + 12 (-12) = 256 (-12)
4x = 256 - 12
4x = 144
Next, divide 4 from both sides of the equation:
(4x)/4 = (144)/4
x = 144/4
x = 61
61 is your first number. Find the next 3 consecutive numbers:
x = 61
x + 2 = 63
x + 4 = 65
x + 6 = 67
Check:
61 + 63 + 65 + 67 = 256
256 = 256
~
What is the simplified form of √10,000x64 ?
Answers to choose from:
5000x^64
5000x^8
100x^8
100x^32
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Answer:
(d) 100x^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
√a = a^(1/2)
__
Then ...
[tex]\displaystyle\sqrt{10000x^{64}}=(10^4\cdot x^{64})^{\frac{1}{2}}=10^{\frac{4}{2}}\cdot x^{\frac{64}{2}}=10^2\cdot x^{32}\\\\=\boxed{100x^{32}}[/tex]
Answer:
Step-by-step explanation:
5000x^8
Solve the system useing elimination 4x+8y=16 6x-8y=4
Answer:
x=2 and y=1
Step-by-step explanation:
Add the two equations to remove "y" and solve for x:
4x+8y=16
6x-8y=4
________
10x=20
x=2
Plug x=2 into one of the original equations to get the value of "y":
4x+8y=16
4(2)+8y=16
8+8y=16
8y=8
y=1
Therefore, x=2 and y=1
4 1) Which of the following is the correct way to solve
(i( 11 x 44? 4 X 11 44 (0) (ii) 4 X 44 11 X 44 4 X 44 11 (iii) (iv) 11 X 44
Answer:
c)4*44 / 11
Step-by-step explanation:
which of the following is the correct way to solve 4/11 * 44
a) 4*11 / 44
= 44/44
= 1
b) 4*44 / 11*44
= 176/484
= 44/121
c)4*44 / 11
= 176/11
= 16
d)11*44 / 4
= 484/4
= 121
Correct way
4/11 * 44
= (4 * 44) / 11
= 16
find the difference of the value of the two 6's in the number 6060 ?
Answer:
5940
Step-by-step explanation:
The first '6' represents '6000' and the second represents '60.'
Thus the difference of the values of the two '6s' is 6000 - 60 = 5940.
Equivalen
What number could replace t below?
1/3 t/6
Answer:
[tex]{ \tt{ \frac{1}{3} = \frac{t}{6} }} \\ \\ { \tt{t = \frac{6}{3} }} \\ \\ { \bf{t = 2}} \\ { \tt{2 \: could \: replace \: t}}[/tex]
how many liters are there in 11.23 kiloliters?
A. 11.23
B. 112.30
C. 1123
D. 11,230
Answer:
D.11,230
Step-by-step explanation:
11.23 = 1 KILOLITER = 1000 LITERS
11.23*1000
11230
what is the common difference of the following sequence?
3,5,7,9,11___
16,19,22,25___
Answer:
the first one goes by 4n-1
the Second sequence goes by 3n + 13
Step-by-step explanation:
using the formula an=a1+d(n-1)
A survey result shows that cell phone usage among teenagers rose from 63% in 2006 to 71% in 2008.
Of the following choices, which statement about cell phone use among teenagers is true?
a. Cell phone usage rose by 11.2 percentage points.
b. Cell phone usage rose by 12.7 percentage points.
c. Cell phone usage rose by 12.7%.
d. Cell phone usage rose by 8%.
Answer:
d. Cell phone usage rose by 8%.
Explanation:
71 - 63 = 8
The statement that is true about percentage increase in cell phone use among teenagers is; c. Cell phone usage rose by 12.7%.
How to calculate percentage increase?We are given;
Percentage of teenagers using cell phone in 2006 = 63%
Percentage of teenagers using cell phone in 2008 = 71%
Thus;
Percentage increase = (71% - 63%)/63%
Percentage increase = 12.7%
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which expression is equivalent to 4 to the 4th power * 4 to the negative 9th power
Answer:
[tex]4^{13}[/tex]
Step-by-step explanation:
[tex]4^{13}[/tex]
Hope this helps!
What is the value of tan(π6)
What is the least common multiple (LQM) of 8 and 12?
Answer:
24
Step-by-step explanation:
The LCM of 8 and 12 is 24. Find least common multiple (LCM) of: 16 & 24 4 & 6 24 & 36 40 & 60 56 & 84 16 & 12 8 & 24 24 & 12 8 & 36 40 & 12 8 & 60 56 & 12 8 & 84
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
3 of 7 and the chances of getting red is 4 of 7
Step-by-step explanation:
====================================================
Explanation:
The fraction 3/7 represents the probability of picking a blue marble since there are 3 blues out of 3+4 = 7 total.
Because the first marble is put back, this means the probability of picking blue does not change. So 3/7 is the probability of picking another blue marble.
Overall, we have (3/7)*(3/7) = 9/49 as the probability of picking two blues in a row.
What percent of 50 is 44
Answer:
here u go
Step-by-step explanation:
88%
Answer:
88% of 50 is 44
Step-by-step explanation:
50x=44
x=44/50
x=0.88
Therefore, 88% of 50 is 44
Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23 She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.
Answer: 5.5 minutes
Step-by-step explanation:
Your question is not complete but I guess they you want to calculate the number of minutes that Jenne was on the trampoline.
Let the number of minutes be represented by m.
Therefore, based in the information, we can form an equation which will be:
7.25 + (1.45 × m) = 15.23
7.25 + 1.45m = 15.23
1.45m = 15.23 - 7.25
1.45m = 7.98
m = 7.98/1.45
m = 5.50
Therefore, Jenna used 5.5 minutes