Answer:
c = -2
Step-by-step explanation:
6c-8-2c = -16
4c -8 =-16
4c = -16 +8
4c = -8
4c/4 = -8/4
c = -2
Answred by Gauthmath
The solution of the equation 6c - 8 - 2c = -16 is -2 calculated by combining like terms and isolating the variable then dividing the equation by coefficient of the c variable.
To solve the equation 6c - 8 - 2c = -16, isolate the variable c on one side of the equation.
Combine like terms on the left side of the equation:
6c - 2c = 4c
The equation now becomes:
4c - 8 = -16
Take constant term on the right side of the equation by adding 8 to both sides:
4c - 8 + 8 = -16 + 8
The equation simplifies to:
4c = -8
To find the value of c, divide both sides of the equation by 4:
4c / 4 = -8 / 4
c = -2
Hence, the value of c is -2 in the equation 6c - 8 - 2c = -16.
To learn more on Equation:
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Confused on this one
Answer:
2nd is the correct answer for your question
The given figure shows a small garden. The shaded area is
reserved for planting flowers and the rest of the area is for
grass. Find the ratio of the area of the garden reserved for
planting flowers to the area reserved for grass.
Answer:
2 : 3
Step-by-step explanation:
We'll begin by calculating the area of the entire garden. This can be obtained as follow:
Length of garden (L) = 12 m
Width of garden (W) = 5 m
Area of entire garden (A) =?
A = L × W
A = 12 × 5
Area of entire garden is 60 m²
Next, we shall determine the area of the garden reserved for flower. This can be obtained as follow:
Length of flower garden (L₁) = 12 – 4
= 8 m
Width of flower garden (W₁) = 3 m
Area of flower garden (A₁) =?
A₁ = L₁ × W₁
A₁ = 8 × 3
A₁ = 24 m²
Next, we shall determine the area of the garden reserved for grass. This can be obtained as follow:
Area of entire garden (A) = 60 m²
Area of flower garden (A₁) = 24 m²
Area of grass garden (A₂) =?
A = A₁ + A₂
60 = 24 + A₂
Collect like terms
A₂ = 60 – 24
A₂ = 36 m²
Finally, we shall determine the ratio of the area of the garden reserved for flowers to the area reserved for grass. This can be obtained as follow:
Area of flower garden (A₁) = 24 m²
Area of grass garden (A₂) = 36 m²
Ratio of flower garden to grass garden = A₁ : A₂
= 24 : 36
= 24 / 36
= 2 : 3
Therefore, the ratio of the area of the garden reserved for flowers to the area reserved for grass is 2 : 3
help please help......
Answer:
[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]
HURRYYYYYYYYYYYYYY PLZZZZ
Answer:
G
Step-by-step explanation:
you know its G just by the way it is
a football pitch is 90 m long and 40 m wide what is the area of the pitch if the cost of the pictures $30 per square metre what is the cost of installing the pitch
Answer:
90 * 40 = 3600 * $30 = $108,000
Step-by-step explanation:
last one! 50 points!
Answer:
sin theta = -2 sqrt(14)/15
Step-by-step explanation:
cos theta = adj / hyp
We can find the opp side by using the Pythagorean theorem
adj ^2 + opp ^2 = hyp^2
(-13)^2 + opp ^2 = 15^2
169 + opp ^2 = 225
opp ^2 = 225 -169
opp ^2 =56
Taking the square root of each side
sqrt( opp^2) = sqrt(56)
opp = sqrt(4 * 14)
opp = 2 sqrt(14)
Since we are in the third quadrant opp is negative
opp = -2 sqrt(14)
We know
sin theta = opp / hyp
sin theta = -2 sqrt(14)/15
Given that :
[tex] \frak {\cos( \theta_{1} ) = - \frac{13}{15} }[/tex]
To find :
[tex] \frak{ sin( \theta_{1} )}[/tex]
We know that cos θ is base/hypotentuse
So, here the base is -13 and the hypotentuse is 15
As we got the base and hypotentuse, perpendicular needs to be found out
Now, applying Pythagoras Theorem
According to Pythagoras theorem we know that :
(Hypotentuse)² = (Base)² + (Perpendicular)²Let us assume perpendicular be x
Putting the values we get
(15)² = (-13)² + (x)² 225 = 169 + x²By transposing we get
x² = 225 - 169x = √56 x = 2√14sin θ formula : Perpendicular/Hypotentuse
[tex] \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}[/tex]
Hence, the answer is -2√14/15
SEE QUESTION IN IMAGE
Answer:
b) 16.8 gStep-by-step explanation:
The modal group is 10-20, as it has the greatest frequency of 27.
Estimated mode is calculated by formula:
EM = L + (f(m) - f(m-1))/(f(m) - f(m-1) + f(m) - (f(m+1))*w,where
L- lower class boundary of the modal group =10 fm-1 - frequency of the group before the modal group = 10 fm - frequency of the modal group =27 fm+1 - frequency of the group after the modal group = 19 w - group width = 10Substitute values to get:
EM = 10 + (27 - 10)/(27 - 10 + 27 - 19)*10 = 16.8bez pieciem punktiem! jauku dienu! (translate this)
Answer: without five points! have a nice day!
Step-by-step explanation:
Answer:
without five points! have a nice day!
If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.)
Answer:
8.1 = LM
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
13 * 5 = LM^2
65 = LM^2
sqrt(65) = LM
8.06225 = LM
To one decimal place
8.1 = LM
three consecutive even numbers add up to 105 determine the product of the three numbers
Answer:
34 + 35 + 36 = 105
Step-by-step explanation:
Find the value of x and y in the following figure
Step-by-step explanation:
y+80+70=180
y+150=180
y=30
Now you can, easily find x
If the diameter of a cylinder is 18 inches, the radius of the cylinder is 9 inches.
True False
Answer:
True
Step-by-step explanation:
A cylinder has two circles as its bases, and the diameter formula is:
2r = d
So if you plug in:
2r = 18
--- ---
2 2
r = 9
So it will be true.
Hope this helped.
what is the difference between a theorem and an axion ?
Answer:
An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.
hope it helps
PLEASE MARK BRAINLIEST
Answer:
A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives. ... An axiom is a statement that is assumed to be true without any proof, while a theory is subject to be proven before it is considered to be true or false.
[/tex][tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1{cm}^{2}}[/tex][/tex]
[tex]\\[/tex]
[tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1}{cm}^{2}}[/tex]
[tex]\:[/tex]
[tex]\sf{\red{\dfrac{\tan\theta}{\sec\theta - 1}=\dfrac{\tan\theta + \sec\theta + 1}{\tan\theta + \sec\theta - 1}\:cm^{2}}}[/tex]
I need help I don't understand this.
9514 1404 393
Answer:
∠4 = 108°
Step-by-step explanation:
Angles 2 and 4 together form a "linear pair". That is, the sum of them is 180°, a "straight angle." They are supplementary.
∠4 = 180° -∠2 = 180° -72°
∠4 = 108°
Mis Gurung is a bank Manager in a development bank. She draws Rs 75000 every month and a Dashain bonus of one months salary. Find her income tax in a year.
Answer:
With new regime is 183,750Rs
Step-by-step explanation:
I. 75,000 * 13 [12 months + 1 month bonus] = 975,000
II. Ms.Gurung tax rate will be ₹37500 + 15%
III. Perform ratio x/975,000 = 15/100 [15% is 15/100] = 146,250
IIII. ₹37500 + 146,250 = 183,750Rs
It depends on how tax rate will costs, could be more or less.
What equation is represented by the equation on the graph?
X
OA. y = x - 2
OB. y=-X-2
OC. y=-3x+2
OD. y=-X+2
Reset Meet
Answer:
y= -x +2
Step-by-step explanation:
This is a negative slope of one because the line is going down and has a ride over run of 1/1. Then the y intercept is +2 because this line intercepts the y axis at positive 2.
hope it helps!
Answer:
y = -x +2
Step-by-step explanation:
just trust me on this
a) (x3 – 7x + 3 – x2) : (x – 3);
b) (2x4 – 3x3 – 3x2 – 2 + 6x) : (x2 – 2)
Answer:
Step-by-step explanation:
X^2+2x-1
2X^2-3x+1
write the radical [tex]\sqrt{\frac{245}{256} }[/tex] in its simplest form.
Answer:
0.06114248375
Step-by-step explanation:
I've done this problem before
 PLEASE HURRY I WILL GIVE BRAINLIEST AND 5 STAR AND HEART! THANK YOU!
Answer:
I believe it is 55°.
I can't remember the exact steps for this tho.
I hope it is right! good luck!
Phythagorean theorem help plsss rnnn
Answer:
8 m
Step-by-step explanation:
Diagonal: Hypotenuse
Let the hypotenuse (diagonal) be c, Stafford street be a, and let Silvergrove Avenue be b.
Formula: a^2 + b^2 = c^2
Lets plug them in!
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2= 100 - 36
b^2 = 64
64 is the exponential value of b, meaning to lower it to its original terms, we apply the opposite of squaring. Which is finding the square root.
[tex]\sqrt{64}[/tex] = 8
Therefore Silvergrove Avenue is 8 m.
Answer:
8
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
c (the hypotenuse, or longest leg) = 10, a or b = 6
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 64
b = 8
The scores of James in his math test are 75, 78, 89, and 71. What score on the next test will make James’ average at least 80 ?
x > 87
x > 87
x < 87
x < 87
Answer: x ≥ 87
Step-by-step explanation:
Set the minimum score on the next test as x & calculate it:
[tex]\frac{75+78+89+71+x}{5} =80\\\\75+78+89+71+x=80(5)\\\\313+x=400\\\\x=400-313=87[/tex]
So they need at least a score of 87 for the average to be 80+.
Answer:
x ≥ 87
Step-by-step explanation:
0.4 x 10 =....
1.25 x 10 =
97.465 x10 =
Answer:
0.4 × 10 = 4
1.25 × 10 = 12.5
97.465 × 10 = 974.65
tìm điều kiện xác định để phân thức A=(1/x-2-2x/4-x^2+1/2+x).(2/x-1)
Help anyone can help me do the question,I will mark brainlest.
Answer:
552
Step-by-step explanation:
I'm almost certain this is correct. Only one step is rounded.
Answer: 942 - 225*sqrt(3)
This is roughly equivalent to 552.29
The unit for the area is in square cm, or cm^2.
The two area values above are based on pi = 3.14, so they are approximations.
============================================================
Explanation:
The radius of the circle is r = 30 because OA = 30.
The full circle has area A = pi*r^2 = 3.14*30^2 = 2826 cm^2 approximately
However, we only want 120/360 = 1/3 of this full area to get the area of the pizza slice. So the area of the pizza slice is approximately (1/3)*2826 = 942 cm^2
This is not the final answer, but helps get us there.
What we just calculated was the approximate area of the entire figure: the yellow area plus the white triangle.
If we can find the area of the white triangle, and subtract it off, then we'll find just the area of the yellow region only.
-----------------------
The SAS (side angle side) area formula for a triangle is
Area = 0.5*p*q*sin(R)
where p,q are the sides and angle R is between those sides.
Here we have p = q = 30, which are sides OA and OB, and we have R = 120 degrees as the central angle.
So the area of triangle AOB is...
Area = 0.5*p*q*sin(R)
Area = 0.5*30*30*sin(120)
Area = 450*sqrt(3)/2
Area = 225*sqrt(3)
This value is exact.
-----------------------
The area of the yellow region is therefore
(area of full figure) - (area of triangle)
(942) - (225*sqrt(3))
942 - 225*sqrt(3)
This is approximate because we used pi = 3.14 as an approximation earlier.
You could then use your calculator to say
942 - 225*sqrt(3) = 552.288568
This rounds to 552.29
A force of 80 N is exerted on an object on a frictionless surface for a distance of 4 meters. If the object has a mass of 10 kg, calculate its velocity
Answer:
V = 8 m/s
Step-by-step explanation:
Assuming that the object was at rest, so μ = 0
Equations
F=ma - Newtons 2nd law
[tex]v^{2} = u^{2} + 2a[/tex]Δx - 4th kinematic equatioin
Step 1 - find "a"
F=m/a
a=F/m
a=80/10
a=8m/s^2
Step 2 - find "v"
v^2 = 0 + 2 * 8 * 4
v^2 = 64
v=8m/s
Determine the measure of the interior angle at vertex E.
Answer:
135
Step-by-step explanation:
(n−2) × 180° = sum of the interior angles where n is the number of sides
There are 6 sides
(6 -2) * 180
4*180
The sum is 720
2x+2x+3x+3x+3x+3x = 720
16x = 720
Divide by 16
16x/16 = 720/16
x = 45
Angle E = 3x= 3(45) = 135
(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored
numerator = top part of the fraction
denominator = bottom part of the fraction
* means multiply
a.
you can only add the numerator when the denominator is the same
cant add the denominator
denominator has to be the same
1/5 = 4/20
4/20 + 7/20 = 11/20
b.
1 7/8 = 15/8
3/4 ÷ 15/8 =
3/4 * 8/15 =
24/60 = divide both top and bottom by 12 =
2/5
Step-by-step explanation:
a)1/5+ 7/20
1.find the CM of both denominators
2.multiply both the denominator and the numerator using the CM
=(1/5)×20 +(7/20)
=20/100 +35/100
since you multiply
3.Now add both numerators ( don't add the denominators)
=the answer is 55/100
Find the measure of the indicated angle to the nearest degree 36
Answer:
47°
Step-by-step explanation:
cos ? = 36/53
? = arccos (36/53)
? = 47 (rounded to the nearest degree)
Answered by GAUTHMATH
Borgir?
Plz answer, I'll give brainliest...
Answer:
What do uh mean?.......
find the slope intercept form and the point slope (HELP)
- the line perpendicular to 4x-7y=2 going through (-6,1)
Answer:
1) slope intercept y= (-7/4)*x-19/2 2) point slope y-1= -7/4*(x+6)
Step-by-step explanation:
4x-7y=2
7y= 4x-2
y=(4/7)*x-2/7
To find the m2 (the number near x, it is called slope) for searched the slope intercept
use the formula for perpendicular lines
m1*m2=-1
m1= 4/7
m2= -1/ (4/7)= -7/4.
The slope intercept must look like y=m2*x+b
Use the coordinates of given point of the searched line (-6,1) and m2= -7/4.
1= (-7/4) *(-6) +b
b= -19/2
So slope intercept is y= (-7/4)*x-19/2
Point slope formula is y-y1= m2(x-x1) m2=-7/4. x1=-6 y1=1
y-1= -7/4(x+6)
