Step-by-step explanation:
The question is not complete or correct
Solve the equation on the
interval [0, 27r).
4(sin x)2 - 2 = 0
[tex]4[sin(x)]^2 - 2 = 0\implies 4[sin(x)]^2=2\implies [sin(x)]^2=\cfrac{2}{4}\implies [sin(x)]^2=\cfrac{1}{2} \\\\\\ sin(x)=\pm\sqrt{\cfrac{1}{2}}\implies sin^{-1}[sin(x)]=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)\implies x=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)[/tex]
[tex]x=sin^{-1}\left( \pm\cfrac{\sqrt{1}}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{1}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{\sqrt{2}}{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=\cfrac{\pi }{4}~~,~~\cfrac{3\pi }{4}~~,~~\cfrac{5\pi }{4}~~,~~\cfrac{7\pi }{4}~\hfill[/tex]
Check the picture below.
Gabriella needs 120 meters of fence to surround a rectangular garden.
The length of the garden is three times its width, w.
How wide is the fence?
Please try to include a Screenshot with the answer
Answer:
the width is 1.5meters
Step-by-step explanation:
the perimeter of the fence is 120m
the perimeter= 3w+w+3w+w
120= 3w+w+3w+w
120= 8w
w=1.5m
Answer:
15m
Step-by-step explanation:
Well, she needs 120 meters, which means we already know the circumference (P). P is the sum of all sides.
The lenght (a) is 3 times the width(b).
a = 3b.
Which means if a is x then b is equal to 3x
Since P is the sum of all sides, P is equal to 2a + 2b or 2x + 2*3x = 2x + 6x = 8x
120 = 8x. We are now left with an equation that has one variable only, all we need to do is to divide 120 by 8 to find what x is equal to.
8x = 120
x = 120 / 8
x = 15
We know that width(a) is equal to x, so that's the answer.
Here's a solution you can write:
P = 120m
w = x
l = 3w = 3x
P = 2w + 2l
P = 2*x + 2*3x
P = 2x + 6x
P = 8x
8x = 120
x = 120 / 8
x = 15
w = x -> w = 15m
Is AB and CD parallel? Why/why not
Step-by-step explanation:
AB and CD is not parallel because co-interior sum is 180 and another reason is that parallel sign isn't given.
When comparing two box-plots that show the same type of information, what determines agreement within the data?
an experiment requires the population of the bacteria to reach 2 million before the experiment can begin. The reproduction rate of the bacteria can be modeled by the exponential equation Y= 8 times 7^x. About how many hours X will it take for the bacteria population to reach 2 million?
round your answer the the nearest hour
Answer:
about 6 hours
Step-by-step explanation:
[tex]8( {7}^{x} ) = 2( {10}^{6} )[/tex]
[tex] {7}^{x} = 250000[/tex]
[tex]x = \frac{ ln(250000) }{ ln(7) } = 6.39[/tex]
The about 6 hours the bacteria population to reach 2 million.
What is exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
Given that the experiment requires the population of the bacteria to reach 2 million before the experiment can begin.
The reproduction rate of the bacteria can be modeled by the exponential equation,
y = 8 × 7ˣ.
So, according to the question,
8 × 7ˣ = 2 × 10⁶
7ˣ = 250000
x ≈ 6.4
Hence the about 6 hours the bacteria population to reach 2 million.
Learn more about exponential equation click;
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the first bricklayer can build a wall in 15 days. the second bricklayer can build the same wall in 10 days. how long will it take them to build the wall together?
i really need help.
Answer:
6 days
Step-by-step explanation:
1/T1 + 1/T2 = 1/TotalTime
Builder one is 1/15
Builder two is 1/10.
A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is
16π square units. What is the length of the radius of the cylinder?
Answer:
2 units!
Step-by-step explanation:
Answer: 2 units
A rectangular prism has dimensions x units, 2x units, and x 8 units. which expression represents the surface area of the prism? 8x 16 square units 16x 32 square units 10x2 48x square units 2x3 16x2 square units
The rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units
Volume of a rectangular prismThe formula for calculating the suface area of rectangular prism is expressed as:
A =2()
lw + wh + lh
where:
l is the lengthw is the widthh is the heightGiven the following parameters
l = x units
w = 2x units
h = x - 8 units
Substitute
S = 2(2x^2 + x^2 - 8x + 2x^2 - 16x)
S = 2(5x^2-24x)
S= 10x^2 - 48x square units
Hence the rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units
Learn more on surface area here:https://brainly.com/question/76387
Answer:
C
Step-by-step explanation:
10x^2+48x
Select the correct answer.
Which statement describes the solutions of this equation?
x/x+2+1/x=1
Answer:
~Senpi boi here~
Step-by-step explanation:
Multiply all terms by x and cancel:
x+2x+1=1x
3x+1=x(Simplify both sides of the equation)
3x+1−x=x−x(Subtract x from both sides)
2x+1=0
2x+1−1=0−1(Subtract 1 from both sides)
2x=−1
2x
2
=
−1
2
(Divide both sides by 2)
x=
−1
2
Check answers. (Plug them in to make sure they work.)
x=
−1
2
(Works in original equation)
Answer:
x= −1/2
(Hope this helps!)
which of the following shapes are squares? please answer correctly I'll mark brainliest
All are technically squares, but if you are referring to just squares, then C and D are squares.
Simplify and solve the following expression: (x + 5)= x?
Step-by-step explanation:
How to solve your problem
(x+5)=x
Solve
1
Subtract
5
from both sides
x+5=x
x+5
2
Simplify
Subtract the numbers
x=x-5
3
Subtract
x
from both sides
x=x-5
Simplify
Combine like terms
Combine like terms
0=-5
Result
0=-5
The input is a contradiction: it has no solutions
Answer:
x=x-5 or 0=-5
Step-by-step explanation:
subtract 5 from both sides
Name the following triangle
Answer:
B
Step-by-step explanation:
sorry if im wrong
Can someone help me
Answer:
it's d
Step-by-step explanation:
because you first do 3*4 =12 twice because there are two sides, and do 10*3 twice, and 10*4 twice, and add it all up.
so,
24+60+80=164
answer is d.
Answer:
Option D, [tex]164\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the front and back
[tex]A = l * w[/tex]
[tex]A = 10\ units * 4\ units[/tex]
[tex]A = 40\ units^2[/tex]
Step 2: Determine the area of the sides
[tex]A = l * w[/tex]
[tex]A = 3\ units * 4\ units[/tex]
[tex]A = 12\ units^2[/tex]
Step 3: Determine the area of the top and bottom
[tex]A = l * w[/tex]
[tex]A = 10\ units * 3\ units[/tex]
[tex]A = 30\ units^2[/tex]
Step 4: Determine the total surface area
[tex]SA = 2(40\ units^2) + 2( 12\ units^2) + 2(30\ units^2)[/tex]
[tex]SA = 80\ units^2 + 24\ units^2 + 60\ units^2[/tex]
[tex]SA = 164\ units^2[/tex]
Answer: Option D, [tex]164\ units^2[/tex]
The sum of j and 7 is 55. Solve for j.??
What is the last step in constructing an angle?
O Make a mark at the number of degrees you want the angle to be.
O Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor
O Connect the endpoint and the mark at the angle measure.
O Draw a horizontal ray.
Answer:
O Connect the endpoint and the mark at the angle measure
Step-by-step explanation:
Check the illustration for more details.
HELP ASAP I REALLY NEED IT MY HEAD HURT BECAUSE OF THIS PLS WOULD GIVE 30pts If Jim spins the spinner 16 times, how many times would you predict the spinner to land on blue based on theoretical probability? Show your work in the box below the image.
Answer:
the answerr is 4
Step-by-step explanation:
please mark me the brainiest
solve: 7x+ 19 = -2X + 55
Answer:
x=4
Step-by-step explanation:
7x+ 19 = -2X + 55
+2x +2x
9x+19=55
-19 -19
9x=36
x=4
Answer:
x=4
Step-by-step explanation:
[tex]\hookrightarrow 7x+ 19 = -2x + 55\\\\\hookrightarrow 7x+2x=55-19\\\\\hookrightarrow 9x=36\\\\\hookrightarrow x=36/9\\\\\hookrightarrow x=4[/tex]
find the slope of the line that passes through (8,2) (1,8)
Answer:
slope = -6/7
all steps in picture :)
Find the gradients of lines a and b (first to do gets brainlist)
Answer:
A = 8
B = -4
Step-by-step explanation:
A line passes through the pointa (-8,8) and (12,7)
Answer: y= -1/20x + 38/5
or
y= -1/20x + 7.6
Step-by-step explanation:
y-y1 = m(x-x1)
m = 8-7 / -8 - 12 = 1/-20 = -1/20
y-8 = -1/20(x+8)
y=-1/20x - 8/20 + 160/20
y= -1/20x + 38/5
or
y= -1/20x + 7.6
What is the median of the data displayed in this box-and-whisker plot?
OPTIONS
84.0
99.5
113.0
143.0
Answer:
106.25
Step-by-step explanation:
99.5+113= 212.5 /2 = 106.25
Jaxon is decorating the outside of a box in the shape of a triangular pyramid. The
figure below shows a net for the box.
olve the following: (2 points)
one and two fourths plus three and three fourths
a
two and one fourth
b
four and one fourth
c
five and one fourth
d
six and one fourth
Find the surface area of the triangular prism shown below.
Answer:
136
Step-by-step explanation:
5*7 = 35
5*7 = 35
4*6/2 = 12
4*6/2 = 12
7*6 = 42
Add them all up
help brainliest if right
Answer:
8
Step-by-step explanation:
Answer:
the answer is 8
PLEASE GIVE BRAINLIST
Which is a coefficient matrix for the system of linear equations?
Answer:
In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations.
Step-by-step explanation:
the matrix is used in solving systems of linear equations
The high school decided to buy
the track team new uniforms. The
total cost is $1235. The school gets
a special 15% discount if they
order this week. How much is the
discount?
A pond has 150 fish, and the population
decreases by 8% each day. Find the
population after 3 weeks.
after 21 days, the answer is 26
hope this helps
What are the exact values of the six trigonometric functions for negative startfraction 7 pi over 6 endfraction radians?
The exact values are;sin -7π/6 = 0.5; cos -7π/6 = -√3/2; tan -7π/6 = -1/√3; sec -7π/6 = -2/√3; csc -7π/6 =2; cot -7π/6 = -√3
How to work with unit circle of trigonometric functions?We want to find the six trigonometric functions for -7π/6 radians.
It should be noted that;
7π/6 radians = -210° degree = -210 +360 = 150° = 5π/6
From the definition of unit circle and applying to what we have here, we can express them as;
sin -7π/6 = 0.5
cos -7π/6 = -√3/2
tan -7π/6 = -1/√3
sec -7π/6 = -2/√3
csc -7π/6 =2
cot -7π/6 = -√3
Read more about trigonometric functions at; https://brainly.com/question/20691579
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a rectanguler tank with a base area of 24 cm is filled with water and oil to the depth of 9cm
Answer:
The Volume is 216
Step-by-step explanation:
When finding volume you do base times height. Since depth is like height, you mulitply them and get 216.