option B
Cos theta is positive and sin theta is negative in quadrant IV
[tex]Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}[/tex]
We have to find opposite side using Pythagorean theorem.
x² + 4² = 5²
x² + 16 = 25
x² = 25- 16
x² = 9
[tex]\sf x =\sqrt{9}\\\\x = 3[/tex]
[tex]\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \ \theta =\dfrac{-3}{5}[/tex]
Identify the percent of change as an increase or a decrease.
12 inches to 36 inches
Find the percent of change.
Answer:
increase of 300%
Step-by-step explanation:
this is urgent my sister needs it due in 15 min
Answer: A) 2.4 ÷ 6
Step-by-step explanation:
To answer this problem, we need to find the original whole and what it is being divided by.
[] The whole is 2.4 because we see two wholes shaded in, and 4 columns shaded in. For this model, it represents 2.4
[] It is being divided into 6 parts. This is shown with the white numbers and the thicker lines
We can also check with math, 2.4 divided by 6 is 0.4 so it "checks out."
This model represents the expression A) 2.4 ÷ 6.
Mrs. Hall's sixth graders walk laps every day on the school track. The following are the number of laps the class completed in the last 12 weeks: 15, 18, 20, 20, 10, 22, 14, 7, 18, 19, 15, 23 [Second Time I Reposted it.]
Answer:
Here is the answer in the picture sorry I was late to answer I got busy in a zoom but here
Step-by-step explanation:
A box plot is basically a box with lines that tell you where the minimum,first quartile,median,third quartile and maximum are on a line.
So I just but all the values in order than find the minimum,first quartile,median,third quartile and maximum are and then build the box plot
(7,10,14,15,15,18,18,19,20,20,22,23)
Solve the inequality. 2(4x – 3) ≥ –3(3x) 5x? x ≥ 0.5 x ≥ 2 (–[infinity], 0.5] (–[infinity], 2]
The solution of the inequality 2(4x - 3) ≥ -3(3x) + 5x is true for all x such that its a real number bigger or equal to 0.5 (Option A: x ≥ 0.5)
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
The considered inequality is:
[tex]2(4x - 3) \geq -3(3x) + 5x[/tex]
Simplifying its both sides, we get:
[tex]2(4x - 3) \geq -3(3x) + 5x\\8x-6\geq -9x + 5x\\8x-6 \geq -4x[/tex]
Adding 4x on both the sides, we get:
[tex]8x-6+4x \geq -4x + 4x\\(8+4)x - 6 \geq 0\\12x -6 \geq 0\\[/tex]
Adding 6 on both the sides, and dividing by 12, we get:
[tex]12x-6 +6 \geq 0+6\\12x \geq 6\\12x/12 \geq 6/12\\x \geq 0.5[/tex]
(some operations like addition, subtraction, multiplication by positive real number or division by positive real number keeps the inequality relation unaltered. With the use of such operations, here we tried to get x on one side, and constants on other side).
Thus, the considered inequality is true for all the values of x which are real numbers bigger or equal to 0.5 (Option A: x ≥ 0.5)
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Factor –8x3 – 2x2 – 12x – 3 by grouping. what is the resulting expression? (2x2 – 3)(4x 1) (–2x2 – 3)(–4x 1) (2x2 – 3)(–4x 1) (–2x2 – 3)(4x 1)
The factors of the expression are [tex]\rm (4x+1)(-2x^2-3)[/tex]
How to find factors in the expression?First group the first two terms and the last two terms together respectively.
The factors of the expression are given by;
[tex]\rm -8x^3 -2x^2 - 12x - 3\\\\-2x^2(4x+1)-3(4x+1)\\\\(4x+1)(-2x^2-3)[/tex]
Hence, the factors of the expression are [tex]\rm (4x+1)(-2x^2-3)[/tex].
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what is 11 in + 17 in +23 in + 7.7 in =
Answer:
58.7
Step-by-step explanation:
i'v been practicing it since 6th grade.
6) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y=-2x-2
B: y=-2x+2
Step-by-step explanation:
A circle has a circumference of 3 meters. What is the circle's radius?
Use 3.14 for pi and round your answer to the nearest tenth.
PLS HELP!!! No links pls and ty <3
Formula for the circumference of a circle = pi x 2 x radius
Circumference = 3
pi = 3.14
radius = r
---To find the radius, we will need to solve for it. Start by plugging in what we know.
3 = 3.14 x 2 x r
---Simplify by multiplying 3.14 by 2
3 = 6.28 x r
---Divide both sides by 6.28 to solve for r
r = 3 / 6.28 = 0.4777
---Round the decimal to the nearest tenth
r = 0.5
Hope this helps!
r=0.5
Solution:Circumference of a circle - C=2πrPlug in the values we are given:3=2πrSimplify:3=6.3rDivide both sides by 6.3:r=0.5Hope it helps.
Do comment if you have any query.
Find the unknown side length, x. Write your answer in simplest radical form.
A. 4132
B. 22
C. 16/5
D. 16 V13
Answer:
C
Step-by-step explanation:
Use the pythagorean theorem.
32^2+b^2=48^2
1024+b^2=2304
Subtract 1024
b^2=1280
Square root
b=sqrt(1280)
Now simplify sqrt(1280)
sqrt(1280) = sqrt(256*5)
You can take the square root of 256 since it is a perfect square so take it out of the radical.
sqrt(256*5)=16sqrt(5)
So the answer is c, 16[tex]\sqrt{5}[/tex]
Answer:
C. 16/5
Step-by-step explanation:
pythagorean theorem
a^2 + b^2 = c^2
divide 48 and 32 by 16
a= 2 c= 3
4 + b^2 = 9
b^2 = 5
b = √5
then multiply 16 with √5
which =
16√5
Two angles are supplementary. If angle A is five times the sum of the angle B plus 7. 2, what is angle B
Answer:
Angle B = 24°
Step-by-step explanation:
Given:
Angles are supplementary Angle A is 5 times the sum of angle B plus 7.2that means, Angle A = 5 ( Angle B + 7.2 )
Now,
Let Angle B = x (say)
•.• Angle A = 5 ( x + 7.2 )
Supplementary angles are a pair of angles that make sum of 180° .Therefore, As it is given that the angles are supplementary , the sum of Angle A and Angle B will be equal to 180°.
Angle A + Angle B = 180°
[tex]⇢x + 5(x + 7.2) = 180[/tex]
[tex]⇢x + 5x + 36 = 180[/tex]
[tex]⇢6x = 180 - 36[/tex]
[tex]⇢6x = 144[/tex]
[tex]⇢x = \frac{144}{6} [/tex]
[tex]⇢ \boxed{x = 24}[/tex]Now, substituting the value of x. . .
Angle B = 24°Angle A = 5( 24+ 7.2 ) = 5( 31.2 ) = 156°Thus, Angle B comes out 24°
help me please ……………..
Answer:
I can t see it
Step-by-step explanation:
solve for w and y
w=
y=
Answer:
[tex]w = 10 \sqrt{2} [/tex]
[tex]y = 20[/tex]
Step-by-step explanation:
Use the Sine Rule to solve for the unknown sides.
Does the relationship between the number calories and the sodium content in a hot dog appear to be linear?
can someone help me figure out what 9.2x10^3 is
Answer:
9200
Step-by-step explanation:
9.2x10^3 is the same as saying 9.2 multiply 10 three times
1 pound = 16 ounces
Solution: ____ ounces
25 points!
Find the value of X.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
In the Triangle BCD, Angle B is 90° since tangent and radius are perpendicular to one another.
Now, let's find Angle C using Angle sum property of a triangle.
[tex]\qquad \tt \dashrightarrow \:\angle C + \angle B + \angle D = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C + 90 + 45= 180[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C + 135= 180[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C= 180 - 135[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C= 45 \degree[/tex]
Now, we know that Angle made by an arc on the centre is twice the Angle made by same arc on boundary of circle, hence we can infer that :
[tex]\qquad \tt \dashrightarrow \:2\angle C = 10x[/tex]
[tex]\qquad \tt \dashrightarrow \:10x = 2 \times 45[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 90 \div 10[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 9[/tex]
So, the required value of x is 9
5. Are the two triangles shown below similar? If so, name the value of the scale factor.
A. no, these triangles are not similar
B. yes, these are similar. the scale factor is 0.8.
C. yes, these are similar. the scale factor is 0.4.
D. yes, these are similar. the scale factor is 0.6.
An ad in the newspaper advertises car tires for $146.50 for a pair. Mr. Tucker needs 3 tires for his truck. How much will he pay for his new tires?
Answer:
$109.875
Step-by-step explanation:
Assuming "a pair" means 4 tires the math would be as follows:
146.50 for 4 tyres.
146.5/4 = cost of one tyre.
1 tyre: $36.625
Multiply by 3 for price of three tires:
36.625 x 3 = $109.875
Find the equation (in terms of ) of the line through the points (-4,5) and (1,-1)
y =?
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{1+4}\implies -\cfrac{6}{5}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-4)}) \implies y-5=-\cfrac{6}{5}(x+4) \\\\\\ y-5=-\cfrac{6}{5}x-\cfrac{24}{5}\implies y=-\cfrac{6}{5}x-\cfrac{24}{5}+5\implies y=-\cfrac{6}{5}x+\cfrac{1}{5}[/tex]
Represent Real-World Problems If one gallon of paint covers 250 square feet, how many gallons of paint will be needed to cover the shed, not including the roof? If a gallon of paint costs $25, about how much will it cost to paint the walls of the shed? please show ALL of your work.
Answer:
125 dollars
Step-by-step explanation:
i will give 50 points
What percent of children who
are between the ages of 5 and
10 will have their birthday party
at home?
Answer:
The answer is 12
Step-by-step explanation:
look under the home tab and look at 5-10. There's the answer
The percent of children who are between the ages 5 and 10 will have their birthday party at home is 10.91%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Percentage is usually denoted by the symbol '%'.
Given that,
There are total of 325 children in different ages who have their birthday party in different ways.
Number of children in between the ages 5 and 10 = 110
Number of children of the ages 5-10 who have their birthday party at home = 12
In order to find the percentage, divide part with the whole.
Percentage = 12 / 110 = 0.1091
Percentage is 10.91%
Hence the required percentage is 10.91%.
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determine the solution to the system of equations g(x)=3x+2, f(x)=x-4+2
The solution to the given system of equations is the point (1, 5).
How to solve the system of equations?
Here we have the system of equations:
g(x) = 3x + 2
f(x) = |x - 4| + 2
To solve this, first you can see where the graphs intercept on the graph (the intercept point is the solution to the system)
But we can also solve it analytically. To do it, we have:
g(x) = f(x)
3x + 2 = |x - 4| + 2
3x = |x - 4|
Notice that the only solution of the above equation is x = 1, so we know that it is the x-value of the solution.
To get the y-value, we just evaluate one of the two given functions on x = 1.
f(1) = |1 - 4| + 2= 3 + 2 = 5
Then the solution to the system is the point (1, 5).
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At Davidson's Bike Rentals, it costs $17 to rent a bike for 3 hours.
How many dollars does it cost per hour of bike use?
If necessary, round your answer to the nearest cent.
$
per hour
Answer:
$5.67
Step-by-step explanation:
All you have to do is 17 divided by 3 to figure out how much it costs for one hour, that equals 5.666, but you have to round it to the nearest cent, which equals 5.67. ;)
What is sine in geometry for a right triangle
Answer:
The ratio of the length opposite to the side of the triangle whose angle is opposite to the length of the hyptoneuse.
What is the sample space for a spinner with four equal sections, numbered 1 to 4?
Answer:
Step-by-step explanation:
we are given A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4 Sample space:
the sample space of an experiment or random trial is the set of all possible outcomes or results of that experimentso, we will only unique outcomesso, sample space is S={1,2,3,4}................Answer
these figures are similar. the area of one is given. find the area of the other
I'll give brainliest
also the answer isn't 12
Answer:
I believe 6in squared is the correct answer
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
6*?=24 in
6*4=24in
if it is 3 in on the smaller one, it also will be 2 so it will be 6.
Hillary can read 560 words in 7 minutes. How many words can Hilary read in 20 minutes?
Answer:
[tex] \frac{560}{7} = 80[/tex]
[tex]80 \times 20 = 1600[/tex]
Hillary read 80 word every min
so, 80 × 20 =1600 word every 20 min
Help me please.Thank you.
Find the value of the function with the given value.
f(a)= -2a^4+11a^3+5a^2+42 at a=6
Answer:
6
Step-by-step explanation:
if you plug in and add it all up you get 6
Which expression is equivalent to startfraction 5 y cubed over (5 y) superscript negative 2 baseline endfraction?
The expression that is equivalent to the given expression is 125y⁵.
The given expression is:
[tex]\frac{5y^{3} }{(5y)^{-2} }[/tex]
What are some important power rules applicable to the given problem?Some important power rules applicable to this problem are:
1)[tex](ab)^m=a^mb^m[/tex]
2)[tex]\frac{1}{a^{-n} } =a^n[/tex]
So, [tex]\frac{5y^{3} }{(5y)^{-2} } =\frac{5y^{3} }{5^{-2} y^{-2} }[/tex].....by power rule (1)
[tex]=(\frac{5}{5^{-2} } )(\frac{y^3}{y^{-2} })[/tex]
[tex]=5^3y^5[/tex].....by power rule(2)
[tex]=125y^5[/tex]
Hence, the expression that is equivalent to the given expression is 125y⁵.
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Hannah is experimenting with a new drawing program on her computer. She created quadrilateral MATH with coordinates M(1, 2). A(-5, 3), T(- 6,-3), and H(0,- 4). Hannah believes that she has created a square. Prove that Hannah is correct.
The square MATH has equal side lengths MA, TH, AT and HM
Hanna's claim is correct because
The side lengths are equal.Opposite sides have the same slopeThe slopes of adjacent sides are opposite reciprocalsHow to prove that Hannah is correct?The coordinate points are given as:
M(1, 2), A(-5, 3), T(-6,-3), and H(0,- 4).
Calculate the side lengths of the square using the following distance formula
d = √[(x2 - x1)^2 + (y2 - y1)^2]
So, we have:
MA = √[(1 + 5)^2 + (2 - 3)^2] = √37
AT = √[(-5 + 6)^2 + (3 + 3)^2] = √37
TH = √[(-6 + 0)^2 + (-3 + 4)^2] = √37
HM = √[(0 - 1)^2 + (-4 - 2)^2] = √37
The side lengths are equal.
Next, we calculate the slopes using:
m =(y2 - y1)/(x2 - x1)
So, we have:
MA = (2-3)/(1+5) = -1/6
AT = (3+3)/(-5+6) = 6
TH = (-3+4)/(-6+0) = -1/6
HM = (-4-2)/(0-1) = 6
See that opposite sides have the same slope
i.e MA = TH and AT = HM
And adjacent sides have their slopes to be opposite reciprocals
i.e. MA = -1/AT and TH = -1/HM
The calculated distances and slopes implies that Hanna's claim is correct
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