First, expand the terms inside the bracket you will get
[tex](( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) } [/tex]
[tex]16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
PLEASE HELP
last choice: Olga did not make a mistake
Answer:
Step 3
Step-by-step explanation:
They divided, they should have multiplied
14 1/2 - 2 1/3 what is the answer to this equation?
Answer:
12 1/6
It wants me to add more but there's nothing to add
The graph of a function is shown on the grid.
Answer:
y-intercept = (-2,0)
Step-by-step explanation:
the "C" is the answer
pls help I really need to do this due today!!!!!!
Answer:
B She is correct because the shape is a quadrilateral with at least one pair of Parallel sides.
Step-by-step explanation:
The side on the top is parallel with the side on the bottom.
It could not be A because there is only one pair of parallel sides.
It can’t be C or D because the shape is a trapazoid.
Answer:
B
Step-by-step explanation:
!! She is correct because the shape is a quadrilateral with at least one pair of parallel sides.
##Have a lovely day today ^^!
what is the simplified answer to 1/2(x+1)-1/3(x-1) ???
Answer:
.5x+.5-1/3x-1/3
Step-by-step explanation:
You then would combine like terms and get x
doing a practice test, what is -7/2-(5/8+1/4) ?
Answer:
4.375
Step-by-step explanation:
Answer:
-4.375
Step-by-step explanation:
7/2=3.5
1/4=0.25
5/8=0.625
5/8+1/4=0.875
-7/2-(5/8+1/4)= -4.375
Mrs. Sloan is purchasing 3.4 pounds of trail mix that costs $4.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20.00?
Answer:
she should get in change $5.55
A little more help???
Answer:
12.7
Step-by-step explanation:
9^2+9^2=162
square root of 162 equals roughly 12.7
Use the pythagorean theorem
A $55 shirt is on sale for 35% off what is the sale price?
Answer:
$35.75
Step-by-step explanation:
35%=35/100
35/100x55=19.25
55-19.25=35.75
Use the quadratic formula to solve for x.
Please help! Will mark brainlyest.
Answer:
It would be the last one
Step-by-step explanation:
Which expression is equivalent to (8x+6)+(10x−30)?
18(x−24)
9(2x−24)n
18x−3618
6(3x−4)
The circumference of a compact disc is 28.26 centimeters. What is the radius?
Please help
Answer:
The radius is 4.5cm.
Step-by-step explanation:
Circumference is the distance around the outside of a circle, the perimeter of the circle. Circumference formula is:
C = pi•d OR
C = 2•pi•r
Since we are looking for radius, use the second formula.
C = 2•pi•r
28.26 = 2pi•r
Divide by 2pi.
28.26/2pi = r
r = 4.5
The radius is 4.5 cm.
What percent of the buildings are no taller than 345 meters?
Answer:
the answer is 75%
each dot represents 25% of the data
Below 345 meters are 3 points
so, 3 * 25% = 75%
The value of Betty's car decreased from $22,000 to $18,700. What is the percent decrease in Betty's car?
Answer:
Step-by-step explanation:
22000-18700=3300
3300/22000x100=15%
Answer:
It is a 15 percent decrease
Step-by-step explanation:
Divide 18700 by 22000, and your answer will be 0.85 but its asking for the decrease, 100-85=15, so 15% is the decrease.
Find the surface area of the cone in terms of pi. 15cm 3cm
Answer:
The surface area of cone = 54π cm²
Step-by-step explanation:
Given ;
Radius = 3 cm
slant height = 15cm
The surface area of cone = πr ( r + l )
=> π × 3 ( 3 + 15)
=> π × 3 ( 18)
=> 54 π cm²
Answer:
Option a
Explanation :
check out my attached work
Hope it helps, let me know if you have any questions !
Have a nice rest of your day :)
There is a map of the world on the wall in
Mr. Smith's classroom. The scale on the
map
lists 1 inch to 400 miles. On his map,
Mr. Smith measured 13 inches between the
United States and Europe. How many
miles is the distance from the
United States to Europe?
[? ] miles
The distance from the United States to Europe is 5200miles.
We have given that the,
There is a map of the world on the wall in Mr. Smith's classroom.
The scale on the map
lists 1 inch to 400 miles.
On his map, Mr. Smith measured 13 inches between the United States and Europe.
What is the value of one inch?
The value of one inch is 400 miles.
We have to determine the 13 inches in miles
We have given that
1inch=400miles
Therefore multiply both side by 13 so we get
13inches=13(400)miles
=5200miles
Therefore we get, the distance from the United States to Europe is 5200miles.
To learn more about the unit conversion visit:
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Answer:
5200
Step-by-step explanation:
If the scale on the map is 1 inch to 400 miles, and Mr. Smith measured 13 inches between the United States and Europe, we can find the distance in miles by multiplying the number of inches by the scale:
Distance in miles = Number of inches * Scale
Distance in miles = 13 inches * 400 miles/inch
Distance in miles = 5200 miles
Therefore, the distance from the United States to Europe, based on Mr. Smith's map, is 5200 miles.
hello thee please solve my question
Find the value of x and y
If
5x+10y=55
4x-12y=10
Answer:
It is attached
Step-by-step explanation:
Andy said that any shape with more than three sides or angles has the same number of lines of symmetry. Is this true or false?
Step-by-step explanation:
If y varies directly with x and
y=15 when x is 9, what is x when
y=30?
Answer:
x = 18
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = 15 when x = 9 , then
15 = 9x ( divide both sides by 9 )
[tex]\frac{15}{9}[/tex] = x , that is
x = [tex]\frac{5}{3}[/tex]
y = [tex]\frac{5}{3}[/tex] x ← equation of variation
when y = 30 , then
30 = [tex]\frac{5}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
90 = 5x ( divide both sides by 5 )
18 = x
How to solve 12 1/2 x 4 in area model?
Hey there!
12 1/2 * 4
= 12 1/2 * 4/1
= 12 * 2 + 1 / 2 * 4/1
= 24 + 1 / 2 * 4/1
= 25/2 * 4/1
= 25(4) / 2(1)
= 100 / 2
= 100 ÷ 2 / 2 ÷ 2
= 50 / 1
= 50
EASIER UNDERSTANDING….
= 25 + 25 + 25 + 25 / 2 + 0
= 50 + 50 / 2 + 0
= 100 / 2
= 100 ÷ 2
= 50
Therefore, your answer is: 50
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which expression is equivalent to ? Prove your choice is correct.
[tex]\\ \rm\Rrightarrow \dfrac{(11^6.6^9)^2}{11^3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{11^{6(2)}.6^{9(2)}}{11^3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{11^{12}.6^{18}}{11^3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{11^{12-3}6^{18}}{}[/tex]
[tex]\\ \rm\Rrightarrow 11^96^{18}[/tex]
Answer:
B
Step-by-step explanation:
[tex]\sf Given \: expression\: :\dfrac{(11^6 \cdot 6^9)^2}{11^3}[/tex]
[tex]\sf Apply\:exponent\:rule\quad (a^b)^c=a^{bc} :[/tex]
[tex]\sf \implies \dfrac{11^{6 \times 2} \cdot 6^{9\times2}}{11^3}[/tex]
[tex]\sf \implies \dfrac{11^{12} \cdot 6^{18}}{11^3}[/tex]
[tex]\sf \implies \dfrac{11^{12}}{11^3} \cdot 6^{18}[/tex]
[tex]\sf Apply\:exponent\:rule\quad \dfrac{a^b}{a^c}=a^{b-c} :[/tex]
[tex]\sf \implies 11^{12-3} \cdot 6^{18}[/tex]
[tex]\sf \implies 11^{9} \cdot 6^{18}[/tex]
What is the volume of a rectangular prism that is 1 1/2 inches by 2 1/4 inches by 4 inches? SHow your reasoning.
Answer:
27/2 in^3 or 13.5 in^3 as a mixed fraction
Step-by-step explanation:
V=whl
Simplify the following:
(1 + 1/2) (2 + 1/4)×4
Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:
(2/2 + 1/2) (2 + 1/4)×4
2/2 + 1/2 = (2 + 1)/2:
((2 + 1)/2) (2 + 1/4)×4
2 + 1 = 3:
3/2 (2 + 1/4)×4
Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:
(3×4)/2 ((4×2)/4 + 1/4)
4×2 = 8:
(3 (8/4 + 1/4)×4)/2
8/4 + 1/4 = (8 + 1)/4:
(3×4)/2 ((8 + 1)/4)
8 + 1 = 9:
3/2×9/4×4
3/2×9/4×4 = (3×9×4)/(2×4):
(3×9×4)/(2×4)
(3×9×4)/(2×4) = 4/4×(3×9)/2 = (3×9)/2:
(3×9)/2
3×9 = 27:
Answer: 27/2 or 13.5 as a mixed fraction
Which shows the terms of the series? 4 12 48 192 4 12 36 3 12 48 192 3 12 48
The value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
What is summation?In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.
Now we have a given term
[tex]\sum_{n=1}^{4} 3(4)^{n-1}[/tex]
By solving the above term;
[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^{1-1}+3(4)^{2-1}+3(4)^{3-1}+3(4)^{4-1}[/tex]
[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^0+3(4)^1+3(4)^2+3(4)^3[/tex]
[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3 + 12 +48 + 192[/tex]
Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
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Answer:
1. 3 + 12 +48 + 192
2. 255 edge
Step-by-step explanation:
1=10^0 into logarithmic form
Answer:
[tex]0 = log_{10} 1[/tex]
Step-by-step explanation:
Base for the exponent and for the logarithm are the same!
10^0 is the exponential form where 10 is the base and 0 the exponent
[tex]log_{10} 1[/tex] is the logarithm form where 10 is the base
To solve [tex]log_{10} 1 =[/tex] ask the question :
To what power should I raise the base 10 to obtain the number 1 ?
The answer to the power 0 therefore
[tex]log_{10} 1 = 0[/tex]
[tex]1 = 10^{0} -is-the- exponential -form\\0 = log_{10} 1 - is -the -logarithmic -form[/tex]
HELPL ME PLEASE I HAVE THE IMAGE READ IT !!!!!
Answer:
494
Step-by-step explanation:
931-437=494 :)
What is the answer to 25% of 50
Answer:
12.5
Step-by-step explanation:
.25 x 50= 12.5
What is the slope of the line that passes through the points ( − 5 , 6 ) and(−9,−6)? Write your answer in simplest form.
Answer:
-3
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1 so put you numbers in and you get
-6-6/-9+5
-12/4
and then -3
Answer:
-3
Step-by-step explanation:
[tex]y=mx+b[/tex] is equation of a straight line.
Here, the slope is m.
[tex]m=\frac{y_{2}-y_{1} }{{x_{2}-x_{1}}} =\frac{-6-6}{-9-(-5)} =\frac{-12}{-4}=-3[/tex]
The dimensions of the rectangular prism are shown on the net below. Which of the following is closest to the total surface area of the figure?
A. 101.6 cm^2
B. 203.2 cm^2
C. 285.1 cm^2
D. 178.7cm^2
The area of a 2D form is the amount of space within its perimeter. The total surface area of the rectangular prism is 203.2 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilaterals, multiply its length by its width.
The total surface area of a rectangular prism is given by the formula,
Total Surface Area = 2[(Length×width) + (Length×height) + (height×width)]
Given the length of the rectangular prism is 9cm, the width of a rectangular prism is 7.6 cm, and the height of the prism is 2 cm. Therefore, the total surface area can be written as,
[tex]\text{Total Surface Area} = 2[(9 \times 7.6) + (9 \times 2)+(2 \times 7.6)][/tex]
[tex]\rm = 2(68.4+ 18 + 2 \times 15.2)\\\\= 203.2\ cm^2[/tex]
Hence, the total surface area of the rectangular prism is 203.2 units².
Learn more about the Area:
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what is the number for x
5= x over 6
Answer:
x=30
Step-by-step explanation:
5=x/6
30=x