The perimeter of a rectangular painting is 332 centimeters. if the length of the painting is 92 centimeters, what is its width?

Answers

Answer 1

Answer: The width of the rectangular painting is: " 74 cm " .
________________________________________________________
Explanation:
________________________________________________________
P = 2L + 2w ;

in which: P = perimeter = 332 cm (given) ;
                L = length = 92 cm (given) ;
                w = width = ? (to be solved) ;
________________________________________________________
First, given: P = 2L + 2w ;

Subtract "2L" from EACH SIDE of the equation ;
   to isolate "2w" on one side of the equation ;
________________________________________________________
    P − 2L = 2L + 2w − 2L ;

to get:   P − 2L = 2w ;

↔ 2w = P − 2L ;

Now:
______________________________________________________
Plug in our given values into the equation / formula ; and solve for "w" ;

2w = 332 − 2(92) ;

2w = 332 − 184 ;

2w = 148 ;

Now, divide EACH SIDE of the equation by "2" ;
   to isolate "w" on one side of the equation ; and to solve for "w" ;
_____________________________________________________
    2w / 2 = 148 / 2 ;

           w = 74 cm .
______________________________________________________

Related Questions

The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.

What is the equation of g(x)?

A. g(x) = 5x – 9
B. g(x) = 5x – 10
C.g(x) = 5x – 9
D. g(x) = 5x – 10

Answers

The easiest way to test it is to sub in (2,15) and see which is holds.

Your function f(x) should be 5^x, instead of 5x

Answer should be g(x) = 5^x - 10, since it shifts f(x) downward by 10 units

The equation of the function is , g(x) = 5x -10 , Option B is the right answer.

What is a Function ?

A function is a mathematical representation of an independent variable and a dependent variable.

The given function is

f(x) = 5x

As the y intercept is shifting from (0 ,1) to (0,-9)

therefore the function is translating 10 points down

therefore the equation of the function is

g(x) = 5x -10

Therefore Option B is the right answer.

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A right triangle has legs that are 10.1 inches and 12.2 inches long. what is the approximate length of the hypotenuse?

Answers

a^2+b^2=c^2

(10.1)^2+(12.2)^2=c^2
102.01+148.84=c^2
250.85=c^2
15.8=c

Hypotenuse is approx 15.8 inches

Answer:

A right triangle has legs that are 10.1 inches and 12.2 inches long. What is the approximate length of the hypotenuse?

6.8 inches

15.8 inches

22.3 inches

125.5 inches

B. 15.8 inches is the correct option

write the polynomial in standard form 4g – g3 + 3g2 – 2

Answers

they are placed in descending order of degree.

-g3 + 3g2 + 4g - 2

The required standard form of the polynomial is -g³ + 3g² + 4g - 2.

To write the polynomial in standard form 4g – g3 + 3g2 – 2

What is the equation?

the equation is the relationship between variables and is represented as y =ax + c is an example of a polynomial equation.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

The standard form of the polynomial equation is written equation is descending order of the exponents of the variable.
= 4g – g3 + 3g2 – 2

= -g³ + 3g² + 4g - 2./

Thus, the required standard form of the polynomial is -g³ + 3g² + 4g - 2.

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The width of a rectangle is one half it's length. The perimeter of the rectangle is 54 cm. What are the width and length of the rectangle?

Answers

width= 1/2x length=x
to find the perimeter, it's the width+width+length+length so:
1/2x+1/2x+x+x=54
3x=54
x=18
the length is 18 cm and the width is 9 cm

Let length of the rectangle = x.
Let width of the rectangle = x/2 (or 1/2 of x)

Remember that Area = 2L + 2W, so . . .

2x + 2(x/2) = 54

2x + (2/2)x = 54

2x + x = 54

3x = 54 --> x = 54/3 --> x = 18

So the length of the rectangle is 18 cm and the width is 18/2 = 9 cm.

Two points in the xy plane have cartesian coordinates (2.00, 24.00) m and (23.00, 3.00) m. determine (a) the distance between these points and (b) their polar coordinates

Answers

Final answer:

The distance between the two points is approximately 29.70 m. The polar coordinates of the points are approximately (24.20 m, 1.46 radians).

Explanation:

To find the distance between two points in the Cartesian coordinate plane, we can use the distance formula.

The distance between the points (2.00, 24.00) m and (23.00, 3.00) m is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values, we get:

d = sqrt((23.00 - 2.00)^2 + (3.00 - 24.00)^2)

d = sqrt(441 + 441)

d = sqrt(882)

d ≈ 29.70 m

The polar coordinates of a point (x, y) can be found using the formulas:

r = sqrt(x^2 + y^2)

p = atan2(y, x)

Plugging in the values, we get:

r = sqrt(2.00^2 + 24.00^2)

p = atan2(24.00, 2.00)

r ≈ 24.20 m

p ≈ 1.46 radians

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In square QRST, points U and V are midpoints. If the square has a side length of 18 mm, what is the probability that a point chosen at random in the square lies in the shaded triangle region? Round the answer to the nearest thousandth. A. 0.028 B. 0.056 C. 0.125 D. 0.222

Answers

Calculate first the area of the shaded triangle region and the area of the square then you could get the probability of the point
The formula for the area of triangle is b h / 2
Where:b = h = half of side length of square = 9 mm
Area of triangle = 9 mm * 9 mm / 2
Area of triangle = 40.5 mm^2

Area of square = s^2
Area of square = (18 mm)^2
Area of square = 324 mm^2

Probability that a point is in the shaded region
= Area of triangle / Area of square
= 40.5 / 324
= 0.125

The answer is letter C. 0.125

Answer:

Step-by-step explanation:

PLEASE HELP ILL GIVE A BRAINLIEST IF YOU ARE RIGHT!

Describe how to obtain the graph of the transformed function below from its parent function.

y=-1/2(x+1)^3-5

A.
The parent function y=x^3 is vertically shrunk by a factor of 1/2, reflected over the x-axis, shifted 1 unit to the left, and shifted 5 units down.
B.
The parent function y=x^3 is reflected over the x-axis, shifted 1 unit to the right, and shifted 5 units down.
C.
The parent function y=x^3 is vertically shrunk by a factor of 2, reflected over the x-axis, shifted 1 unit to the left, and shifted 5 units up.
D.
The parent function y=x^3 is vertically stretched by a factor of 1/2, reflected over the y-axis, shifted 1 unit to the right, and shifted 5 units down.

Answers

The answer is A. The negative sign out front flips the function upside down (over the x axis), the +1 inside the parenthesis shifts it to the left one unit and the -5 moves it down 5 units.

ANSWER QUICK AND EXPLAIN HOW TO SOLVE

Answers

[tex] \cfrac{a}{sinA}= \cfrac{b}{sinB} \ \ \to \\ sinB= \cfrac{b*sinA}{a} = \cfrac{14*sin35^o}{12}= 0.6692 \ \ \to \ m \angle B=42^o \\ \\ \\ m \angle C=180- m \angle A- m \angle B=180-35-42=103^o \\ \\ \\ \cfrac{a}{sinA}= \cfrac{c}{sinC} \ \ \to \ c= \cfrac{a*sinC}{sinA}= \cfrac{12*sin103^o}{sin35^o} \approx 20.4[/tex]

the exterior angle of a regular polygon is equal to one third of the interior angle. calculate the number of sides of the polygon and give its name

Answers

The angle in a regular polygon is ((n-2)*180)/n with n being the number of sides. The exterior angles would be (360)/n since exterior angles add up to 360. Therefore, (360)/n= (((n-2)*180)/n)*1/3. Multiplying both sides by n, we get 360=((n-2)*180)*1/3. After that, we divide both sides by 180 and multiply both sides by 3 to get 6=n-2. Therefore, n=8 and it is an octagon

The area of the small triangle is 10.5 meters squared and the area of the larger triangle is 94.5 meters squared. If the altitude of the large triangle is 9, what is the altitude of the smaller triangle?

Answers

This is the concept of proportionality, the area scale factor of the triangles will be:
[Area of larger triangle]/[Area of smaller triangle]
=94.5/10.5
=9
but;
linear scale factor=sqrt[area scale factor]
=sqrt9
=3
the length of the smaller triangle will be:
3/1=9/x
3x=9
hence;
x=9/3=3
the answer is 3 meters

Choose the equation that represents the graph below: Graph of a line passing through points 0 comma 6 and 9 comma 0 y = −2x − 6 y = two thirdsx + 6 y = −two thirdsx + 6 y = 2x + 6

Answers

Y = -2/3 + 6 is a line that passes through those points.

Answer: y=[tex]\frac{-2}{3} x+6[/tex]

Step-by-step explanation: equation of line passing through (x1,y1) and (x2,y2) is given by

y-y1=[tex]\frac{y2-y1}{x2-x1} (x-x1)[/tex]

here (x1,y1)=(0,6) and (x2,y2)=(9,0)

y-6=[tex]\frac{0-6}{9-0} (x-0)[/tex]

y-6=[tex]\frac{-2}{3} x[/tex]

y=[tex]\frac{-2}{3} x+6[/tex]

Convert 0.0000001 to a power of 10.

107
10−7
106
10−6

Answers

Since you have to move the decimal point the the right by 7 places to get the decimal point after the one. You must multiply by 1/10 seven times, which is the same as:

10^-7

10^-7 = 0.0000001

when the number is a decimal the power is a negative number

Which number is not in scientific notation?
A) 9 ⋅ 10 to the power of 19
B) 7.8 ⋅ 10 to the power of 6
C) 1.45 ⋅ 10to the power of −7
D) 0.33 ⋅ 10 to the power −15

Answers

for scientific notation you want a whole number multiplied by 10 to a power

so since D is a decimal ( 0.33) that is not scientific notation

I think the answer is A

write a conditional statement that correctly describes each venn diagram
I REALLY NEED HELP WITH THIS!!!!!!!!!!!!

Answers

if m < A = 40, then it is an acute angle

if 2x = 4, then x = 2

A conditional statement that correctly describes each Venn diagram include the following;

I. If m∠A = 40, then it represent acute angles.

II. If 2x = 4, then x is equal to 2.

What is a conditional statement?

In Mathematics, a conditional statement is a type of statement that can be written to have both a hypothesis and conclusion. This ultimately implies that, a conditional statement typically has the form "if P then Q."

Where:

P and Q represent sentences or statements.

Part I.

Based on the Venn diagram shown in the image above, we can logically deduce the following conditional statement;

"If m∠A = 40, then it represent acute angles."

All acute angles are less than 90 degrees.

Part I.

Based on the Venn diagram shown in the image above, a conditional statement that correctly describes it can be written as follows;

"If 2x = 4, then x is equal to 2."

Proof:

2x = 4

x = 4/2

x = 2

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Which graph represents y = |x2| − 3x − 4?

Answers

y = |x²| - 3x - 4. Since the absolute vale of x² is always positive, y will behave the same way as y = x² - 3x - 4.

It's a parabola open upward (a>0) with a axis of symmetry (-b/2a) = 3/2 and y intercept = 4 ( for x=0, y=4).
Moreover x intercepts (roots of the quadratic) → x₁ = 4 and x₂ = -1
All the above correspond to the last graph
Then it's the last graph

Two men, 400 feet apart, observe a balloon between them; it is in the same vertical plane as they are. The respective angles of elevation of the balloon are observed by the men to be 75°20' and 49°30'. Find x rounded to the nearest whole number.

Answers

Because x is not defined, it is assumed to be the height of the balloon.

Note that
75° 20' = 75.333°
49° 30' = 49.5°

From the figure shown below, obtain by definition,
a = x cot 49.5° = 0.8541x
b = x cot 75.333° = 0.2617x

Because a + b = 400 ft, therefore
0.8541x + 0.2617x = 400
1.1158x = 400
x = 358.49 ft

Answer: 358 ft (nearest whole number)

Answer:

471 ft.

Step-by-step explanation:

Factor the trinomial below.

x^2-5x-14

A. (x-2)(x-7)
B. (x+2)(x-7)
C. (x+2)(x+7)
D. (x-2)(x+7)

Answers

The answer is B.
Proof:
-7+2=-5
-7*2=-14

Also, when you FOIL it becomes
x^2-7x+2x-14
That simplifies to
x^2-5x-14

Answer:

The factored form is

[tex]x^2-7x+2x-14=(x+2)(x-7)[/tex]

Step-by-step explanation:

Given the trinomial

[tex]x^2-5x-14[/tex]

we have to factor the above trinomial.

[tex]x^2-5x-14[/tex]

By middle term splitting method

[tex]x^2-7x+2x-14[/tex]

Taking x common from first two terms and 2 from last two terms

[tex]x(x-7)+2(x-7)[/tex]

[tex](x+2)(x-7)[/tex]

which are required factors.

Hence, option B is correct.

4(8x-8)=-192 what's that mean and can someone help me asap

Answers

This is algebra. 4 times whatever is in the parentheses (8x-8) has to be equal to -192. If you do the math, x= -7

I just need this really quickly please, I have 20 minutes till due.
What is 3/4/1/4 plz anyone help meee!!!!!!

Answers

i got it!!!!!!!!!!!!!! its 1875/10000

If it takes 4 people 4 days to dig a hole, how long does it take 2 people to dig a half-hole

Answers

the answer is 4 days. because if 2 people were digging a whole hole, it would take twice as long, being 8 days. digging half a hole, you would just cut the 8 in half, leaving 4 days for 2 people to dig half a hole.

Do all rational equations have a single solution? why? is there a time when a rational equation doesn't have a solution?

Answers

Answer: All rational equations don’t necessary have a single solution however they do have solutions that can’t fulfill the answer. Any solution where the denominator is equal to zero results in an undefined equation.

A new parking lot is being built for a medical office. the expression representing the number of parking spots in the new lot is 15x/4 -9 , where x represents the number of parking spots in the first row . how many spots are in the parking lot if there are 32 parking spots in the first row

Answers

did you ever get the awnzer

its 69---------------------------------

How does changing the function from f(x) = −5 cos 2x to g(x) = −5 cos 2x − 3 affect the range of the function?

Answers

The graph has been moved 3 units downward, making the range change. The range of f(x) is [-5,5], while the range of g(x) is [-8,2]. The picture is of both functions. f(x) is blue, g(x) is red.

Answer:

[-8,2]

Step-by-step explanation:

We are given that the function f(x) is transformed to the function g(x), where,

[tex]f(x) =-5 \cos 2x[/tex] and [tex]g(x) =-5 \cos 2x-3[/tex].

Since, the range of [tex]\cos x[/tex] is [-1,1].

Thus, the range of [tex]a\cos bx[/tex] is {-a,a].

So, the range of [tex]f(x) =-5 \cos 2x[/tex] is [-5,5].

As, we are translating the function f(x) 3 units downward to get g(x).

The graph of the function is shifted 3 units down.

So, the range of g(x) will be [-5-3,5-3] = [-8,2].

Hence, the range of [tex]g(x) =-5 \cos 2x-3[/tex] is [-8,2].

What is the volume of a hemisphere with a diameter of 6 feet to the nearest hundredth of a cubic foot?

Answers

a hemisphere is 1/2 the volume of a sphere

volume of a sphere is 4/3pir^3

so 1/2 of that would be 2/3pir^3

d/2=r
6/2=r=3

v=2/3pi3^3
v=2/3pi27
v=2pi9
v=18pi
aprox
v=56.548667764616278292327580899031 cubic feet
round
v=56.55 cubic feet

The volume the hemisphere is 56. 55 cubic feet

what is the volume of the hemisphere ?

The volume of a hemisphere is the space occupied by the hemisphere.

Formula used to find volume of the hemisphere is :

V = 2/3 × π × r ^3

Given : diameter = 6 feet

r = d/2 = 3 feet

V = 2/3 × π × 3 ^3

⇒ 2/3 × 22/7 × 27

V = 56.5486 cubic feet

round off to nearest hundredth is :

V = 56. 55 cubic feet

Hence , the volume of hemisphere is 56. 55 cubic feet .

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The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a pyramid with a base area of 15 square inches and a height of 7 inches?

Answers

Answer:

Step-by-step explanation:

The volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Suppose the base of the pyramid has length = L units and width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

V = (L × B × H) / 3

V = (Base area x H) / 3

The volume of a pyramid varies jointly with the base area of the pyramid and its height.

The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches.

Then the volume of a pyramid with a base area of 15 square inches and a height of 7 inches will be

V = (15 x 7) / 3

V = 35 cubic inches

Hence, the volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.

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What is the length Jc EF in the right triangle below.

Answers

By the Pythagorean theorem:

EF² = DE² - DF²
EF² = 39² - 15² = 1521 - 225 = 1296
EF = √1296 = 36 units

The length is E. 36 units

A hybrid car can travel 45 miles on 1 gallon of gas. Determine the amount of gas needed for a 500 mile trip

Answers

they can drive 45 miles on 1 gallon, so divide 500 by 45

500/45 = 11.11

they would need 11.11 gallons of gas

Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6)

Answers

First find slope....

slope=m=(y2-y1)/(x2-x1)

m=(-6-3)/(-6-3)

m=-9/-9

m=1

Point slope form is y-y1=m(x-x1) where m=slope and (x1,y1) is any point on the line so using m=1 and (3,3) we have:

y-3=x-3 but the standard form is ax+by=c so we need to solve for the constant...

y-3=x-3 subtract x from both sides

y-x-3=-3 add 3 to both sides

y-x=0 and x should have a positive coefficient...divide both sides by -1

x-y=0

A rectangle is graphed on the coordinate grid.

Which represents the equation of the side that is parallel to side s?

Answers

With two points you can define a line.

So, the line parallel to s is q, which has these two points: (3,6) and (6,3)

There are different ways to get the line. For instance, this one:

y = a*x+b,

a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,

y = -x + b,

Now use any point, say (3,6) to get b:

6 = -3+b-> b = 9,

line is y = -x + 9,

It checks out in the other point: (6,3) --> 3 = -6+9 = 3. Good.

Other method could be:

y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.

Hope it helps!

The side that is parallel to side s is side q. The equation of side q is: y = -x + 9.

What is the Equation of a Line?

We can represent the equation of a line as, y = mx + b, where m is the slope of the line and b is the y-intercept.

The side that is parallel to side s is q.

Slope (m) of q = change in y / change in x = (6 - 3) / (3 - 6) = 3/-3 = -1.

Substitute m = -1 and (3, 6) = (a, b) into y - b = m(x - a):

y - 6 = -1(x - 3)

y - 6 = -x + 3

y = -x + 3 + 6

y = -x + 9

Equation of the side that is parallel to side s is: y = -x + 9.

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12 times h equals 120 minus 36

Answers

Let's start at the beginning.
120-36=84.
84÷12=7 (we do this to figure out 12 times what equals 84, and now we know it's 7)
So 12×7=120-36

The correct answer is 7.

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