Answer:
Area of the sheet = 2×2 = 4 feet2
Step-by-step explanation:
what value of x is in the solution set of 8x-6>12+2x
Answer:
3
Step-by-step explanation:
8x-6>12+2x
-2x -2x
_______________
6x-6 >12
+6 +6
____________
6x > 18
/6 /6
____________
x > 3
Hope this helps :)
The solution to the inequality 8x - 6 > 12 + 2x is, 3.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality 8x - 6 > 12 + 2x.
Separating the variable and constants to the other sides we have,
8x - 2x > 12 + 6.
6x > 18.
x > 3.
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Find x . Round your answer to the nearest tenth of a degree.
The value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
Trigonometry identityFrom the given right angles triangle, we have the following parameters;
<A + 48 + 90 = 180 (sum of angles in a triangle)
<A =180 - 138
<A = 42 degrees
Using the SOH CAH TOA identity
sin48 = b/26
b = 26sin48
b = 19.3
For the value of a
sin42 = a/26
a = 26sin42
a = 19.3
a =17.4
Hence the value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
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Find the perimeter of the composite figure using pi
Answer:
(3 +1.5π) ft ≈ 7.71 ft
Step-by-step explanation:
We see a semicircle, not a "composite figure." The perimeter of the semicircle is the sum of the length of the arc and the length of the straight edge:
P = (1/2)πd +d . . . where d is the diameter and πd is the full circumference
P = d(1 +π/2)
P ≈ (3 ft)(1 +1.57) = 7.71 ft . . . . . using 3.14 for π
The perimeter of the figure is about 7.71 feet.
__
In terms of pi, the perimeter is ...
P = (3 +1.5π) ft
Divide.
0.4) 29
Enter your answer as a decimal in the box.
Answer:
0.0138
Step-by-step explanation:
the division gives a value which is almost recurring hence we round off to get 0.0138
Answer:
72.5 (I did the math)
The diameter of a semicircle is 30 miles. What is the semicircles radius ?
Answer:
D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle
math sceenshot answer the sceenshot
Answer:
H(d) = 0.3d + 12
Step-by-step explanation:
It started at 12 inches.
Then it grew 0.3 inches per day.
Let d = number of days.
The growth is 0.3 d.
Add the growth to the original length, to get 0.3d + 12.
Answer: H(d) = 0.3d + 12
HELP!!! ASAP!!!
construct a sequence of ten numbers with the same property using each of the numbers from 1 to 5 twice
1+1+2+2+3+3+4+4+5+5 is your answer. If it's wrong I'm sorry
A fence installation company sells 4 models of chain-link fencing, 2 models of wood fencing, and 3 models of iron fencing. What is the total number of models of fencing that the company sells?
A. 24
B. 11
C. 6
D. 9
Answer:
D.
Step-by-step explanation:
7
In a circle, which ratio is equivalent to t?
- One
er
O A. area of a circle to its circumference
OB. radius of a circle to its area
-67
Q
67
O C. diameter of a circle to its radius
OD, circumference of a circle to its
diameter
Answer:
D
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex], while the diameter of a circle is 2r. [tex]\frac{2\pi r}{2r} = \pi[/tex]
Find the reciprocal of 7/2 multiplied by 3/5
6/35
hope it helps...!!!
Answer:
(2/7) x (3/5)= fraction form: 6/35 decimal form: 0.1714285
Step-by-step explanation:
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the area of the shaded regions.
Answer:
the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle
Step-by-step explanation:
for the equation to be true we must first identify the shapes used.
the shapes used include
regular hexagonregular pentagonsquareequilateral trianglenow that we know the shapes we must find out which shapes are shaded
regular hexagon (shaded)regular pentagon (not shaded)square (shaded)equilateral triangle (not shaded)now we know which shapes are shaded we can now form the equation to find the area
i will turn the shapes into varibles so its easier on my brain and yours
area of the regular hexagon= harea of the regular pentagon= parea of the square= sarea of the equilateral triangle= tshaded area= Awe can know use the info gathered earlier to create the equation
shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)
or in other words with the variables
A=( h-p )+( s-t )
if your still not convinced see the attached image
||
\/
Help, question is in image.
Answer:
-31
Step-by-step explanation:
substitute- y-8b = -7-8(3)
8(3)=24
-7- -24=
solve- -31
Answer:
-31
Step-by-step explanation:
Given
binomial: y - 8b
y = - 7
b = 3
Solution
-7 - 8(3) Substitute 3 in for b and - 7 in for y
-7 - 24 Combine -8 and 3 (which is - 24
-31 Answer. - 31
What is the solution for the following equation 2(y+3) squared
Answer:
2y² + 12y + 18
Step-by-step explanation:
2(y + 3)²
First use formula (a + b)² = a² + 2ab + b² to expand (y + 3)²:
(a + b)²
(y + 3)²
y² + 2*y*3 + 3²
y² + 6y + 9
Dont forget the 2:
2(y² + 6y + 9) <== distribute and multiply
2y² + 12y + 18
Hope this helps!
What is the perimeter?
Answer:
30 m is the original, and 60 m would be expanded
Step-by-step explanation:
perimeter=l+w+l+w so 12+3+12+3=30 and you could multiply that by 2 to make it 60m i believe
Lisa deposits $625 in an account that earns 4% interest
annually. How much money is in the account
compounded
after 3 years? (8.12D)
Answer:
$703.04
Step-by-step explanation:
The equation for this is 625 x [tex]1.04^{years\\}[/tex].
So using the formula 625 x [tex]1.04^{3}[/tex] = $703.04
Answer:
$703.04
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $625r = 4% = 0.04n = 1t = 3Substituting given values into the formula:
[tex]\implies \sf A=625(1+\frac{0.04}{1})^{3}[/tex]
[tex]\implies \sf A=625(1.04)^{3}[/tex]
[tex]\implies \sf A=703.04[/tex]
9. The growth of mold in Specimen A can be modeled by A(t) = The growth
of mold in Specimen B can be modeled by B(t)
a. Find (A - B)(t).
b. Explain what the function (A - B)(t) represents
The value of the difference of the functions is 3t^2/3
The difference in the growth of the specimen is 3t^2/3
Exponential functionsExpoenential functions are written in the form y= ab^x
Given the following expoenential functions
A(t) = 5/6t^2/3
B(t) = 1/3t^2/3
a) Determine the function (A-B(t)
(A-B)(t) = A(t) - B(t)
Substitute
(A-B)(t) = 5/6t^2/3 - 1/3t^2/3
(A-B)(t) = (5/6-1/3)t^2/3
(A-B)(t) = 9/3t^2/3
(A-B)(t) = = 3t^2/3
b) This means that the difference in the growth of the specimen is 3t^2/3
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what are the magnitude and direction of u+v+w ?
The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.
How to determine the magnitude and the direction of a resultantVectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:
Resultant[tex]\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex] (1)
Magnitude[tex]\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}[/tex] (2)
Direction[tex]\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}[/tex] (3)
Where [tex]\theta[/tex] is resultant angle, measured in degrees.
If we know that [tex]\|\vec u\| = 90[/tex], [tex]\theta_{u} = 40^{\circ}[/tex], [tex]\|\vec v\| = 60[/tex], [tex]\theta_{v} = 20^{\circ}[/tex], [tex]\|\vec w\| = 40[/tex] and [tex]\theta_{w} = 30^{\circ}[/tex], then the resultant, its magnitude and its direction:
Resultant[tex]\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})[/tex]
[tex]\vec r = (-54.824, 18.531)[/tex]
Magnitude[tex]\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}[/tex]
[tex]\|\vec r\| \approx 57.871[/tex]
Direction[tex]\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)[/tex]
[tex]\theta \approx 198.676^{\circ}[/tex]
The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. [tex]\blacksquare[/tex]
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The first six steps of the derivation of the Quadratic Formula are listed below.
b
x
lo
=
a
a
+
1. ax2 + bx +c=0
2. Cx2 + x + =
3. x2 + x+8 = 0
b
4. x2 +
X=
a
b2
5. x2 + x +
4a2
6. (x + )2
4a2
a
+
a
b2
4a2
b2-4ac
2a
The ninth step in the derivation is to find the lowest common multiple (LCM) to give [tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The derivation of quadratic formula.In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is given by this equation:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The sixth step in the derivation is:
[tex](x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}[/tex]
The seventh step in the derivation is:
We would take the square of both sides to have;
[tex]x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The eigth step in the derivation is:
We would substract b/2a from both sides to have;
[tex]x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The ninth step in the derivation is:
We would find the lowest common multiple (LCM) to have;
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
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hard question help!!!!
Answer:
B
Step-by-step explanation:
b) The perimeter of a squared field is 60 m. Find its area.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Perimeter of square is :
[tex]\qquad \sf \dashrightarrow \:4 \times side \: length[/tex]
so, we can take side length as a, and solve for a ~
[tex]\qquad \sf \dashrightarrow \:4a = 60[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 60 \div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 15[/tex]
Now, since we know the side length. let's find Area of square :
[tex]\qquad \sf \dashrightarrow \: {15}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:area = 225 \: m {}^{2} [/tex]
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=26 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
ΔEDF is congurent with ΔBDC
DE/EF = DB/BC
The length of the ED is √182.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
EF is parallel to BC.
This means,
ΔEDF is congurent with ΔBDC
So,
DE/EF = DB/BC
BC = 2ED
DB = 26
EF = 14
Now,
DE/EF = DB/BC
DE/14 = 26/2ED
2ED² = 14 x 26
ED² = 7 x 26
ED = √182
Thus,
The length of the ED is √182.
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The entire rectangle below has an area of 36 ft2. Find the area of the shaded triangle. Be sure to include the correct unit in your answer.
What is the area of this rectangle?
Answer:
39
Step-by-step explanation:
You find the area by multiplying the length times the height which is what I did 13 x 3 = 39
volume(12) pls help fast
Answer:
G
Step-by-step explanation:
Volume of a triangular prism = area of the base x height
(where the "bases" are the triangles)
Area of a triangle = 1/2 x base x height
Given:
base = 3.1 cmheight = 4.8 cm⇒ area of base of prism = 1/2 x 3.1 cm x 4.8 cm = 7.44 cm²
Given:
area of base = 7.44 cm²height of prism = 2.6 cm⇒ Volume of the prism = 7.44 cm² x 2.6 cm = 19.344 cm³
Factorise 9x2+49y2-42xy-30xz+70yz
the equation can not be factored ^
what is the surface area of the cylinder
Answer:
The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh). Here 'r' is the radius and 'h' is the height of the cylinder.
Step-by-step explanation:
The radius of a semicircle is 17 millimeters. what is the semicircle's perimeter?
Answer:
87.407
Step-by-step explanation:
circumference = 2*pie*r
= 2*pie*17
=106.8/2
=53.4
53.4+(17*2)
=87.4
Answer:
Step-by-step explanation:
it 87.38
TRUST ME
2) Michael purchased a used car for $6,150 and had to pay 6.5% sales tax. How much tax
did he pay?
Answer:
$399.75
Step-by-step explanation:
6.5% of $6,150 =
= 0.065 × $6,150
= $399.75
Answer: $399.75
He had to pay $399.75
formula: Tax = Tax Rate * Purchase Price
$6,150 * 6.5%$399.75Solve for w : 5w squared - 5w = 0
Answer:
The answer is 1
Step-by-step explanation:
5w² – 5w = 0
Add 5w both side
5w² – 5w + 5w = 5w – 5w
5w² = 5w
Now, Divide both side by 5w we get,
5w²/5w = 5w/5w
w = 1
Thus, The value of w is 1
Answer:
w = 1
Step-by-step explanation:
Given :
5w² - 5w = 0Bring 5w to the other side.
5w² = 5w 5 and w are each present on both sides so they cancel out, leaving us with :w = 1Select the expression that is equal to 12(6+x)
31x
84x
18+12x
72+12x
18+13x
I don't know
Answer:
72 + 12x
Step-by-step explanation:
Use Distributive proeprty: a*(b +c)= (a*b) + (a*c)
Here, a = 12 ; b = 6 & c = x
12( 6 + x) = 12*6 + 12*x
= 72 + 12x