Answer:
Angle 1:Angle2: angle3: total
40 40 100 180
Step-by-step explanation:
The sum of the angles of a triangle is 180
Angle 1:Angle2: angle3: total
2 :2 :5 : 2+2+5 = 9
Divide 180 by 9
180/9 = 20
Multiply each by 20
Angle 1:Angle2: angle3: total
2*20 :2*20 :5*20 : 9*20
40 40 100 180
Guys pleaseee help!!
Calculating a Rate of Change
Try
What is the vertical change from Point A to Point B?
10
y
9
What is the horizontal change from Point A to Point B?
8
7
6
What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth.
if necessary
5
4
3
B
2
A
1
10
8
9
1
2
4
5
3
Done
Answer:
What is the vertical change from Point A to Point B? 1
What is the horizontal change from Point A to Point B? 2
What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth.
if necessary: 0.5
Step-by-step explanation:
The rate of change, as the own name suggest, is the rate at which the function change its value. The function, in this case is changing with a rate of 0.5 because to each unit that x grows, y grows the half part of it.
the ratio of thomson's age to racheal's age is 2:3.racheal is 24 years old. how old is thomson?
2:3
Given Racheal = 24 years
Thomson = 2/3×24
= 2×8
= 16 years
Must click thanks and mark brainliest
Trigonometric ratios
class 9
please answer my questions
Step-by-step explanation:
Hi there!
Please see the answer in the picture.
Hope it helps!
1. Approach
One is given a trigonometric equation with and one is asked to prove that it is true. Using the attached image, combined with the knowledge of trigonometry, one can evaluate each trigonometric function. Then one can simplify each ratio to solve. To yield the most accurate result, one has to each of the ratios in a fractional form, rather than simplifying it into a decimal form. Remember the right angle trigonometric ratios, these ratios describe the relationship between the sides and angles in a right triangle. Such ratios are as follows,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\\\csc(\theta)=\frac{hypotenuse}{opposite}\\\\sec(\theta)=\frac{hypotenuse}{adjacent}\\\\cot(\theta)=\frac{adjacent}{opposite}[/tex]
Please note that the terms (opposite) and (adjacent) are relative to the angle uses in the ratio, however the term (hypotenuse) refers to the side opposite the right angle, this side never changes its name. Use these ratios to evaluate the trigonometric functions. Then simplify to prove the identity.
2. Problem (9)
[tex]\frac{sin(60)+cos(30)}{1+sin(30)+cos(60)}=sin(60)[/tex]
As per the attached image, the following statements regarding the value of each ratio can be made:
[tex]sin(60)=\frac{\sqrt{3}}{2}\\\\cos(30)=\frac{\sqrt{3}}{2}\\\\sin(30)=\frac{1}{2}\\\\cos(60)=\frac{1}{2}[/tex]
Substitute,
[tex]\frac{sin(60)+cos(30)}{1+sin(30)+cos(60)}=sin(60)[/tex]
[tex]\frac{\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}}{1+\frac{1}{2}+\frac{1}{2}}=\frac{\sqrt{3}}{2}[/tex]
Simplify,
[tex]\frac{\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}}{1+\frac{1}{2}+\frac{1}{2}}=\frac{\sqrt{3}}{2}[/tex]
[tex]\frac{\frac{2\sqrt{3}}{2}}{1+\frac{1}{2}+\frac{1}{2}}=\frac{\sqrt{3}}{2}[/tex]
[tex]\frac{\frac{2\sqrt{3}}{2}}{1+1}=\frac{\sqrt{3}}{2}[/tex]
[tex]\frac{\sqrt{3}}{1+1}=\frac{\sqrt{3}}{2}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{\sqrt{3}}{2}[/tex]
Thus, this equation is true.
2. Problem (10)
Use a similar strategy to evaluate this equation,
[tex]\frac{1-cos(30)}{sin(30)}=\frac{1-cot(60)}{1+cot(60)}[/tex]
Use the attached image to evaluate the ratios.
[tex]cos(30)=\frac{\sqrt{3}}{2}\\\\sin(30)=\frac{1}{2}\\\\cot(60)=\frac{1}{\sqrt{3}}[/tex]
Substitute,
[tex]\frac{1-cos(30)}{sin(30)}=\frac{1-cot(60)}{1+cot(60)}[/tex]
[tex]\frac{1-\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]
Simplify,
[tex]\frac{1-\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]
[tex]\frac{\frac{2-\sqrt{3}}{2}}{\frac{1}{2}}=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]
[tex]\frac{\frac{2-\sqrt{3}}{2}}{\frac{1}{2}}=\frac{\frac{\sqrt{3}-1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]
[tex]\frac{\frac{2-\sqrt{3}}{2}}{\frac{1}{2}}=\frac{\frac{\sqrt{3}-1}{\sqrt{3}}}{\frac{\sqrt{3}+1}{\sqrt{3}}}[/tex]
[tex]2-\sqrt{3}=\frac{\frac{\sqrt{3}-1}{\sqrt{3}}}{\frac{\sqrt{3}+1}{\sqrt{3}}}[/tex]
[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}+1}}[/tex]
[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}+1}[/tex]
Rationalize the denominator,
[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}+1}[/tex]
[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}+1}*\frac{\sqrt{3}-1}{\sqrt{3}-1}[/tex]
[tex]2-\sqrt{3}=\frac{(\sqrt{3}-1)^2}{3-1}[/tex]
[tex]2-\sqrt{3}=\frac{3-2\sqrt{3}+1}{2}[/tex]
[tex]2-\sqrt{3}=\frac{4-2\sqrt{3}}{2}[/tex]
[tex]2-\sqrt{3}=2-\sqrt{3}[/tex]
Therefore, this equation is also true.
all I've found is 1 but how do I work that out properly beaides guess and check
Answer:
1
Step-by-step explanation:
(1-x)/x=0
or, 1-x=0
or, -x=-1
or, x=1
Answer:
F(x) = 0 when x=1
Step-by-step explanation:
We need the numerator to equal zero
1-x = 0
Add x to each side
1-x+x = 0+x
1 =x
The denominator cannot equal zero( The denominator does not equal zero when x =1)
F(x) = 0 when x=1
Which value of x satisfies the equation
Answer:
Does the answer help you?
14.
Which is the most reasonable measure for the length of
a bicycle?
C. 2 cm
B. 2 m
A. 2 mm
D. 2 km
Answer:
B 2 m
Step-by-step explanation:
2 cm and 2 mm are way to small they are less than the size of a cell phone
2 km is way to large it is larger than a car
Algebra 1
Simplify 9) y(x + 4) - 6(x + 4)
Answer:
[tex]xy+4y-6x-24[/tex]
Step-by-step explanation:
[tex]y(x+4) = xy+4y[/tex]
[tex]6(x+4) = 6x+24[/tex]
[tex]xy+4y - (6x+24) =xy+4y-6x-24[/tex]
Which equation represents a line which is parallel to the line y=7/6x−6?
7y-6x= -14
6x + 7y = 56
7x + 6y = 18
7x - 6y = -48
Answer:
6x+7y=56
Step-by-step explanation:
In order to have an equation that is parallel to another the slopes multiplied by one another must equal -1. In this case, the first slope is [tex]\frac{7}{6}[/tex] . So [tex]\frac{7}{6}[/tex]×what = -1
Normally you can just flip the numerator and denominator and add the opposite sign. So we can do that here. [tex]-\frac{6}{7} *\frac{7}{6} =-1[/tex]. So the equation should have [tex]-\frac{6}{7}[/tex].
But none of the answers obviously have that slope. If you try the second one, which looks different from the rest and will give you a negative x when you subtract it from both sides. Then you can divide by 7, you get [tex]y=-\frac{6}{7}x +8[/tex].
Pls help I tried basic answers like 50+50+80 =180 but it’s wrong so pls help
Answer:
x = 65 degrees
Step-by-step explanation:
x° + x° + 50° = 180°
2x + 50° = 180°
2x = 180° - 50°
2x = 130°
x = 130°/2
x = 65°
A grain of salt is an example of which geometric figure?
Answer: point
Step-by-step explanation:
Simplify:
5x+2(3−2x)+7
x + 13
12x
9x + 13
Answer:
x+13
Step-by-step explanation:
The answer would be 1 or uh.. x+13
Help with a,b and c i will rate
Answer:
I could only see the full choices for letter A, so I'll help with that. But if you send the full image of the page I'll help you out :)
a. The answer is B
Step-by-step explanation:
The square root of 73 is about 8.5440037... which is in between 6 and 9
The square root of 55 is about 7.416198... which is also in between 6 and 9
The square root of 39 is about 6.24499799... which is also in between 6 and 9
The other letters will not work because they are either larger or smaller than 6 and 9, or they are rational.
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Have a great summer :)
explanation would be appreciated. i don’t understand
Answer:
[tex]28\sqrt{3}[/tex]
Step-by-step explanation:
The area of the big triangle is 1/2 b h = 1/2*6*(12^2 = 6^2 + x^2)
that ends up being [tex]\sqrt{108} = 36\sqrt{3}[/tex]
the small triangle are needs to be subtracted....
[tex]\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)}[/tex] that is the length of the unknown side...
1/2 B * h of that triangle get you to [tex]8\sqrt{3}[/tex]
just subtract the two areas
Answer:
(B) 28√3
Step-by-step explanation:
The area of quadrilateral ABED is equal to the area of triangle CDE subtracted from the area of triangle ABC.
Area of triangle CDE:
Triangle ABC is equilateral. All sides have length 12.
AB = BC = AC = 12
BE = 8
BE + EC = BC
8 + EC = 12
EC = 4
In an equilateral triangle, all angles measure 60°.
m<C = 60°
m<CDE = 30°
Triangle CDE is a 30-60-90 triangle.
DE = EC√3
DE = 4√3
area of triangle CDE = bh/2
area of triangle CDE = (EC)(DE)/2
area of triangle CDE = (4)(4√3)/2
area of triangle CDE = 8√3
Area of triangle ABC:
Side AC is a base of triangle ABC.
AC = 12
(1/2)AC = 6
The altitude of triangle ABC from side AC to vertex B measures
h = 6√3
area of triangle ABC = bh/2
area of triangle ABC = (AC)(h)/2
area of triangle ABC = (12)(6√3)/2
area of triangle ABC = 36√3
area of quadrilateral ABED = area of triangle ABC - area of triangle CDE
area of quadrilateral ABED = 36√3 - 8√3
area of quadrilateral ABED = 28√3
Use number properties to simplify the following expression.
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
Answer:
-5 + (5 + 3) =(-5 + 5) + 3 = 0 + 3 = 3[tex]\\ \sf\longmapsto -5+(5+3)[/tex].
Remove brackets[tex]\\ \sf\longmapsto -5+5+3[/tex]
[tex]\\ \sf\longmapsto (-5+5)+3[/tex]
[tex]\\ \sf\longmapsto 0+3[/tex]
[tex]\\ \sf\longmapsto 3[/tex]
I WILL GIVE BRAINLIEST!! NO LINKS PLZ
4) Simplify.
Answer: [tex]\frac{\sqrt{5}}{6}[/tex]
==================================================
Work Shown:
[tex]\frac{\sqrt{10}}{3\sqrt{8}}\\\\\frac{\sqrt{10}*\sqrt{8}}{3\sqrt{8}*\sqrt{8}}\\\\\frac{\sqrt{10*8}}{3\sqrt{8*8}}\\\\\frac{\sqrt{80}}{3\sqrt{64}}\\\\\frac{\sqrt{80}}{3*8}\\\\\frac{\sqrt{16*5}}{24}\\\\\frac{\sqrt{16}*\sqrt{5}}{24}\\\\\frac{4*\sqrt{5}}{24}\\\\\frac{\sqrt{5}}{6}\\\\[/tex]
Note: In the second step, I multiplied top and bottom by [tex]\sqrt{8}[/tex] to rationalize the denominator.
Answer:
square root of 5 over 6 or 0.37267799…
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate.
Suppose the following equation is true:
3^x=81^y
What is the connection between x and y?
Answer:
x=4y
Step-by-step explanation:
3^x=3^4y
x=4y
am I correct?
15. What is the length of segment FG
Answer:
10.49
Step-by-step explanation:
FG= squareroot(10)(11) =10.49 took quiz too
there are 10 boys and 6 girls. How many ways are there to choose 8 people to get at most 5 girls
Answer:
Hello,
Step-by-step explanation:
0 girls and 8 boys :
[tex]\left(\begin{array}{c}10\\ 8\end{array}\right)=10*9*8*7*6*5*4*3/8!=45\\\\[/tex]
1 girl and 7 boys:
[tex]\left(\begin{array}{c}6\\ 1\end{array}\right)*\left(\begin{array}{c}10\\7\end{array}\right)=6*10*9*...*4/7!=6*120=720\\\\[/tex]
2 girl and 6 boys:
[tex]\left(\begin{array}{c}6\\ 2\end{array}\right)*\left(\begin{array}{c}10\\6\end{array}\right)=60*210=1260\\[/tex]
3 girl and 5 boys:
[tex]\left(\begin{array}{c}6\\ 3\end{array}\right)*\left(\begin{array}{c}10\\5\end{array}\right)\\[/tex]
4 girls and 4 boys:
[tex]\left(\begin{array}{c}6\\ 4\end{array}\right)*\left(\begin{array}{c}10\\4\end{array}\right)[/tex]
5 girls and 3 bys:
[tex]\left(\begin{array}{c}6\\ 5\end{array}\right)*\left(\begin{array}{c}10\\3\end{array}\right)[/tex]
I let you to calculate and make the sum.
Geometry I need help someone help me
Answer:
fohohcoufohohcouvhop
Step-by-step explanation:
typing mistake sorry
[tex]\\ \sf\longmapsto x+73=90[/tex]
[tex]\\ \sf\longmapsto x=90-73[/tex]
[tex]\\ \sf\longmapsto x=17[/tex]
Why?
Sum of two complementary angles is 90°
A hardware store ordered 13 packs of
nails from a supplier. Each pack contains
155 nails. How many nails did the store
order?
Answer =530
what is twelve less than a variable
Answer:
x-12
Step-by-step explanation:
Let the variable be x
12 less than
x-12
If y varies directly as x and y = 42 when x = 6, find the equation that gives the relationship between x and y.
Question 5 options:
A)
y = 7∕x
B)
y = 7x
C)
x = 7y
D)
y = x∕x
Answer:
B
Step-by-step explanation:
since K is constant ( the same for every point) we can find k when given any point by dividing the y-coordinate by the x-coordinate.
The solution is Option B.
The equation for the relationship between x and y is y = 7x
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The value of y varies directly with x
So , y = kx and k is the constant of proportionality
Now , when x = 6
y = 42
Substituting the value of y and x in the equation , we get
y = kx
42 = 6k
6k = 42
Divide by 6 on both sides of the equation , we get
k = 7
Therefore , the equation becomes y = 7x
Hence , the equation for the relationship between x and y is y = 7x
To learn more about equation click :
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3x^3(4x^4)=?
i need this plz
Answer:
12x^7.
Step-by-step explanation:
3x^3(4x^4)=
3*4 * x^(3+4)
= 12x^7.
really need help to do step by step
Answer:
x/4+10=2
x/4=2-10
x/4=-8
x=-8 x 4
x=-32
Step-by-step explanation:
y is inversely proportional to the square root of x. When y=7, x= 2.25. Write y in terms of x.
Answer:
y(x)=10.5/sqrt(x)
Step-by-step explanation:
Since y is inversely proportional to the square root of x, it can be written as y=a/sqrt(x). To compute a, we will use the point given in the question (2.25,7). 7=a/sqrt(2.25), a=10.5. The function is y(x)=10.5/sqrt(x)
Select the type of equations.
consistent
equivalent
Inconsistent
Answer:
Step-by-step explanation:
This is a consistent dependent system. This means that the lines will eventually intersect in one place.
Inconsistent systems are parallel lines and equivalent systems represent a line completely overlapped by another line because they have the same equation.
Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
equation that can be used to express the relationship between the total number of
birdhouses completed(t)and the boxes of nails(b) used.
Help ASAP!
Answer: 20 times 2 equal 40/ 40 divided by 2 is 20
Step-by-step explanation: Both of them should help you find the answer
Which expression is equivalent to 2(14x-3y+28+12.2-5y-17.5)
Answer:
28x-16y+45.4
Step-by-step explanation:
Add up all the variables inside the bracket by first grouping like terms
Then, multiply through by 2 ✅✅
which answer is right?
Answer:
i think A
Step-by-step explanation:
Can anyone please help me with this thank you
Answer:
x= 0, and x=4
Step-by-step explanation:
x² -x = 3x, we can subtract 3x from both sides
x² -x -3x = 0, combine like terms
x² -4x = 0 , factor x
x *( x-4) = 0, if the product of 2 numbers equals 0 at least one is 0
x=0 and
x-4 = 0, add 4 to both sides
x= 4
Answer:
x=4 simple thing with all problems like this, is if it has a exponent, then half the exponent and add it to the numerical digit on the right of the equals sign, and you have you answer
Step-by-step explanation:
