Answer:
Vertical angles — two non-adjacent angles formed by two intersecting lines.
Step-by-step explanation:
Prove
[tex]\small \dfrac{ \sin(A) - \cos(A) + 1}{\sin(A) + \cos(A) - 1} = \dfrac{\cos(A)}{1 - \sin(A) } [/tex]
Help!!!!!!!!!
[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } = \\ [/tex]
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[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } \times \frac{ \sin(a) + \cos(a) + 1}{ \sin(a) + \cos(a) + 1 } = [/tex]
[tex] \frac{ {sin}^{2}(a) + 2 \sin(a) - {cos}^{2} (a) + 1 }{ {sin}^{2}(a) + 2 \sin(a) \cos(a) + {cos}^{2}(a) - 1 } = [/tex]
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As you know :
[tex] {sin}^{2} (a) + {cos}^{2} (a) = 1[/tex]
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[tex] \frac{ {sin}^{2} (a) - {cos}^{2}(a) + 2 \sin(a) + 1}{ {sin}^{2} (a) + {cos}^{2}(a) - 1 + 2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{ {sin}^{2}(a) - (1 - {sin}^{2}(a)) + 2 \sin(a) + 1 }{1 - 1 + 2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{ {sin}^{2} (a) + {sin}^{2} (a) - 1 + 1 + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{2 {sin}^{2}(a) + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{2 \sin(a)( \sin(a) + 1) }{2 \sin(a)( \cos(a) \: ) } = \\ [/tex]
[tex] \frac{ \sin(a) + 1}{ \cos(a) } \\ [/tex]
And we're done...
Take care ♡♡♡♡♡
Given circle E with diameter CD and radius EA. AB is tangent to E at A. if AD = 15 and EC = 14, solve for AC.
Answer:
AC ≈ 23.6 units
Step-by-step explanation:
m∠CAD = 90°
CD = 2×14 = 28 , AD = 15
CD² = AD² + AC² ⇒ AC² = CD² - AD²
AC² = 28² - 15² = ( 28 - 15 )( 28 + 15 ) = 13 × 43 = 559
AC ≈ 23.6
NEED HELPP I DONT UNDERSTAND??!!!
The roof of castle is in the Shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (Use PE= 3. 14 )
Help please
(it needs more characters so ♀️
Answer:
5.1 is the correct answer
hope it will help you
can someone answer this is that I do not understand and I need it.
Answer:
y = 110 degree
x = 70 degree
z = 70 degree
Step-by-step explanation:
Vertical angles are always congruent.
so, the angle with the 110 degree is equal to the angle y.
now we have the measure of y.
as you can see angle y and angle z form a straight light wich means the sum of angle y and angle x is 180 degree
now, to get the measure of angle z,
180 - 110 = angle z
70 = angle z
now we have the measure of angle z
as angle z and angle x are vertical angle, they are congruent.
so angle x = 70
x = 70
z= 70
y = 110
hope this helps:)
The population of a town is increasing at a rate of 3.5% per year. In 2010, the town had a population of 24,500. Find the population of the town in 2021. (if you can please give a short explanation)
well, from 2010 to 2021 is 11 years later, so
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769[/tex]
Melissa made a paperweight. The paperweight is a rectangular prism. She painted the outside surface of the paperweight.
Please I need help and an explanation :0
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
According to properties of arc on a circle, angles subtended by an arc on circle at its boundaries are equal to one another.
Hence ~
[tex] \qquad \dashrightarrow \tt \: \angle C = \angle W [/tex]
[tex]\qquad \tt \dashrightarrow \:12x + 15 = 3x + 78[/tex]
[tex]\qquad \tt \dashrightarrow \:12x - 3x = 78 - 15[/tex]
[tex]\qquad \tt \dashrightarrow \:9x = 63[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 63 \div 9[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 7[/tex]
Therefore, value of x is 7
Angles drawn inside chords and radius hence they are equal
12x+15=3x+789x=63x=63/9x=7(LCM) of 28, 42 and 63
Answer:
252
Step-by-step explanation:
The least common multiple is the product of all factors in the greatest number of their occurrence.
LCM = 2 x 2 x 3 x 3 x 7
LCM = 2^2 x 3^2 x 7
LCM = 252
The least common multiple of 28, 42 and 63 is 252.
Answer:
LCM = 252.
Step-by-step explanation:
First find their prime factors:
28 = 2*2*7
42 = 2*3*7
63 = 3*3*7
So, only including like factors once, LCM =
2*2*3*3*7
= 252
10
2
Given the graph above, choose the coordinate point that is NOT a
solution.
(6.0)
(10,6)
(-8,6)
(0,0)
Answer: Choice C
(-8, 6)
===============================================
Reason:
This point is not in the shaded region. Points in the shaded region are solution points to make the inequality true. Points on the dashed boundary line do not count as solution points.
Answer:
-8,6
Step-by-step explanation:
all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area
I need help setting up the equations
Answer:
Just multiply the number by the percentage.
Step-by-step explanation:
1. Make the percentage into a decimal (%50= 0.50)
2. Multiply the decimal by the number.
solve for x
[tex] \binom{1}{2} ^{3x + 1} = 32[/tex]
how do i solve for x
Answer:
Yes diciembre Eqsakdulien
Another math thing I need help with
Answer:
Step-by-step explanation:
This quadratic equation is given in standard form, which is [tex]y= ax^2 +bx+c[/tex]. The x-value of the vertex of a quadratic equation can be found using the given formula. Therefore, we can plug the the numbers given into the formula as such: [tex]x=\frac{24}{2(6)}[/tex]. This can be simplified into 2. Now that we have the x-coordinate, we can plug that back into the equation to find the y-coordinate: [tex]y=6(2)^2-24(2)+30[/tex]. This simplifies to y = 6. Therefore, the vertex of the equation is located at (2,6).
Hope this helps!
(True or false): a square falls under both the rectangle and the kite in the quadrilateral hierarchy
Answer:
True
Step-by-step explanation:
hopes this helps.
what plus 23 equals 180
Answer:
157
Step-by-step explanation:
To find this, we just have to reverse the problem and subtract 23 from 180:
[tex]180-23=157[/tex]
So your answer is 157.
Hope this helps! Have a good day! :)
157
Step-by-step explanation:
180-23= 157
The answer is 157
Find the slope of the line passing through (6, -2) and (-5, 5)
Answer: [tex]-\frac{7}{11}[/tex]
Step-by-step explanation:
The formula for finding slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Where [tex](x_{1} ,y_{1} )[/tex] are the coordinates of the first point and [tex](x_{2} ,y_{2} )[/tex] are the coordinates of the second point.
Sub the values in
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\frac{5-(-2)}{-5-6} \\[/tex]
Now solve
[tex]\frac{5-(-2)}{-5-6} \\\frac{7}{-11}[/tex]
Slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{5+2}{-5-6}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{-7}{11}[/tex]
Please help worth 15 points
Answer:
[tex]30.25\pi ft^2[/tex]
Step-by-step explanation:
Help me pls very pls
Answer:
y = 4
Step-by-Step explanation:
4x5 = 20
2x5 = 10
20+10=30.
(4x5) + (2x5) = 30
or
(yx5) + (2x5) = 30
Brainliest would be appriciated :) have a nice day!
A student chosen at random from a class of 12 girls and 14 boys. What is the probability that the student chosen is not a girl ?
Is it possible to split a jackpot of $2,783,000 equally among 9 winners? Explain your answer.
Answer:
No it isnt possible
Step-by-step explanation:
it is not because 2,783,000 is not divisible by 9
help nowwww
These polygons are similar.
What is the value of x?
• A. 16
20.25
O c 21
•
24.75
• E 36
Answer:
20
Step-by-step explanation:
As they are similar, correspondence sides are in common ratios:
Apply cross product property
Multiply the numbers
Divide both sides of the equation by 5
Calculate
1/6 of a wall painted in 3/10 of an hour, how much did he paint in 1 hour
-1.6, 5/2, -7/8, 0.9, -6/5 from least to greatest
Answer:
starting with least...
-1.6
-6/5
-7/8
9/10
5/2
...to greatest.
Step-by-step explanation:
start by putting the decimals into fractions:
-1.6 = -8/5
0.9 = 9/10
and then find a common denominator to compare them fairly.
the number that they all end up going into is 40, which will be your common demoninator.
-8/5 (aka -1.6) = -64/40
5/2 = 100/40
-7/8 = -35/40
9/10 (aka 0.9) = 36/40
-6/5 = -48/40
The table below represents which equation?
х
0
2.
-1
1
1
-5
2
-8
у
-2
A
y = -x
B
y = 3x + 6
y=-3x - 2
D
y = x + 2
Answer:
C: y = -3x - 2
Step-by-step explanation:
See attached image. Use a spreasheet to calculate the values of y for each vale of x and compare the results. Equation C matches the data in the table.
Find the length of h. Round to the nearest hundreth.
Answer:
h = 0.24
Step-by-step explanation:
Assuming this is a parallelogram...
Sine trig ratio
[tex]\sin(\theta)=\sf \dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuseLet x be the angle in the top left of the parallelogram.
[tex]\implies \sin(x)=\dfrac{0.3}{0.5}=\dfrac35[/tex]
Opposite angles in a parallelogram are congruent.
Therefore, the angle in the bottom right of the parallelogram is also x.
[tex]\implies \sin(x)=\dfrac{h}{0.4}[/tex]
[tex]\textsf{As} \:\sin(x)=\dfrac35[/tex]
[tex]\implies \dfrac35=\dfrac{h}{0.4}[/tex]
[tex]\implies h=\dfrac35 \cdot 0.4=0.24[/tex]
Remember (3,4,5) Pythagorean triplet
Triangle containing y
Hypotenuse=0.5Base=0.4Triangle containing x
Base=0.4Perpendicular=0.3Now use ratio to find
0.5/0.3=0.4/h5/3=0.4/h5h=1.2h=1.2/5h=0.24Solve the following....
[tex]x+4=3(x-2)[/tex]
Answer:
x = 5
Step-by-step explanation:
x + 4 = 3(x - 2) ← distribute parenthesis by 3
x + 4 = 3x - 6 ( subtract 3x from both sides )
- 2x + 4 = - 6 ( subtract 4 from both sides )
- 2x = - 10 ( divide both sides by - 2 )
x = 5
Answer:
Solution of equation is 5Step-by-step explanation:
In the question we have given an equation that is x + 4 = 3 ( x - 2 ) . And we are asked to solve the question that means we have to find the value of x .
Solution : -
[tex] \longrightarrow \quad \: x + 4 = 3(x - 2)[/tex]
Step 1 : Solving parenthesis on right side :
[tex] \longrightarrow \quad \: x + 4 = 3x - 6[/tex]
Step 2 : Subtracting 4 on both sides :
[tex] \longrightarrow \quad \: x + \cancel{4} - \cancel{ 4 }= 3x - 6 - 4[/tex]
On further calculations we get :
[tex] \longrightarrow \quad \: x = 3x - 10[/tex]
Step 3 : Subtracting 3x on both sides :
[tex] \longrightarrow \quad \: x - 3x = \cancel{3x } - \cancel{3x}- 10[/tex]
On further calculations we get :
[tex]\longrightarrow \quad \: - 2x = - 10[/tex]
Step 4 : Dividing both sides by -2 :
[tex]\longrightarrow \quad \: \dfrac{ \cancel{ - 2}x}{ \cancel{ - 2} } = \cancel{\dfrac{ - 10}{ - 2} }[/tex]
On further calculations we get :
[tex]\longrightarrow \quad \: \red{\underline\red{\boxed{ \frak{ x = 5}}}}[/tex]
Therefore , value of x is 5 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
x + 4 = 3 ( x - 2 )5 + 4 = 3 ( 5 - 2 )9 = 3 ( 3 )9 = 9L.H.S = R.H.S Hence, Verified.Therefore, our answer is correct .
#Keep LearningAt Central High School, there are 48 football players and 20 cheerleaders. What is the ratio of cheerleaders to football players?
Answer:
The answer should be 5:12.
Step-by-step explanation:
Since the question asks what's the ratio of cheerleaders to football players, the ratio before simplifying would be 20:48.
So, just find the greatest common divisor of 20 and 48, which would be 4.
20/4 = 5
48/4 = 12
Therefore, the answer to this question and the ratio of cheerleaders to football players is 5:12.
the town of abridge currently has a population of 300,000 each year the population will reduce by 7% how many fewer people will live in abridge in 5 years compared with now give your answer to 3 sf
Answer:
91,300 to 3 s.f.
Step-by-step explanation:
The population is reduced by a percentage 100-7 = 93% ( or 0.93) per year.
So after 5 years thatwould be 300,000(0.93)^5
= 208707
that is 300,000 - 208,706
= 91293
= 91,300 to 3 s.f.
Which letter is the height?
Answer:
I'm pretty sure y is the height.