Answer:
a. 3.5 inches by 4.5 inches
b. 1.5 inches
c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2
Step-by-step explanation:
A scale is a representative fraction showing the relationship between length on a drawing and actual length.
i.e scale = [tex]\frac{length on a drawing}{actual length}[/tex]
scale = 1 inch : 4 feet
a. The dimensions in the drawing can be determined as;
1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.
[tex]\frac{14}{4}[/tex] = 3.5 inches
[tex]\frac{18}{4}[/tex] = 4.5 inches
Dimensions on drawing is 3.5 inches by 4.5 inches.
b. The length of the sofa is 6 feet, its length on the drawing is;
[tex]\frac{6}{4}[/tex] = 1.5 inches
c. To enlarge the scale so as to double the dimensions of the drawing, we have;
12 inches = 1 feet
4 feet = 4 × 12 = 48 inches
given scale = 1 inch : 48 inches
Thus, divide 48 inches by 2 and multiply 1 inch by 12.
scale = 12 inch : 24 inch
scale = 1 : 2
To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.
[tex] \frac{15x - 8 }{3} + \frac{9x - 3}{2} [/tex]
Greetings from Brasil...
Here is the problem:
[(15X - 8)/3] + [(9X - 3)/2]
Let's multiply everything by 6
[6.(15X - 8)/3] + [6.(9X - 3)/2]
[2.(15X - 8)] + [3.(9X - 3)]
30X - 16 + 27X - 9
57X - 25Use the discriminant to determine the number of real solutions to the equation. −8m^2+2m=0
Answer:
discriminant is b²-4ac
= 2²-4(-8)(0)
= 0
one solution
hope this helps :)
I am a 2 dimensional shape that has four sides. I have two obtuse angles and two acute angles. I have two different sets of parallel sides. I also have two sides that are one length, and my other two sides are a different length.
Answer:
Quadrilateral
Step-by-step explanation:
The mean number of people per day visiting an art show in July was 110. If
20 more people each day visited the museum in August, what was the mean
number of people per day visiting in August?
A. 130
B. 620
C. 640
D. 110
Answer:
I believe the answer is A. 130
Answer:
A 130
Step-by-step explanation:
-The pendulum would accelerate to the right.
-The pendulum would accelerate downward.
-The pendulum would accelerate to the left.
-The pendulum would accelerate to the upward. help needed ASAP will give brainliest
Answer:
The pendulum would accelerate to the left.
Step-by-step explanation:
Because the force pushing it left is greater than the force pushing it right, it would go to the left.
what is the value of F? (ap physics summer hw) show work
See the attached picture.
While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the price of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.
Answer:
The price in dollars per gallon is 8.4
Step-by-step explanation:
The ratio is a comparison between two quantities that is made using a quotient. In other words, a ratio is a comparison between two or more quantities that can be expressed as a fraction. If the quantities to be compared are a and b, the ratio between them is written as: [tex]\frac{a}{b}[/tex]
You know that the price in England is 1.4 pounds per liter and the current exchange rate is 1 pound = 1.65 dollars. So, being the following reasons:
[tex]\frac{1.4 pounds}{1 liter}[/tex][tex]\frac{1.56 dollars}{1 pound}[/tex]and being the conversion factor 1 L = 0.26 gal expressed as a ratio:
[tex]\frac{1 liter}{0.26 gal}[/tex]you can see that the expression to find the equivalent price in dollars per gallon is:
[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}[/tex]
Taking into account that all unwanted units of measure are canceled and solving:
[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}=\frac{2.184 dollars}{0.26gal}= 8.4 \frac{dollars}{gal}[/tex]
The price in dollars per gallon is 8.4
If the angles a°&b° are complements of each other, then a°+b°= 90° 180° 270° 360°
Answer:
a + b = 90°
Step-by-step explanation:
If sum of two angles are 90°, then the two angles are complementary
Angles that are complements form corners. I've bolded the "co" letters to help remember that complementary angles form a 90 degree corner. Whereas supplementary angles form a straight line (both "supplementary" and "straight" start with "S"). So that's one way to remember the two terms.
Anyways, if a and b are complements of each other, then a+b = 90.
Ruben goes to a shop to buy 24.5m of cloth and 13.5m ribbon. The cloth costs Rs.85.40 per metre and the ribbon costs Rs.8.5 per metre. If he pays Rs. 2300 to the shopkeeper, how much money will he get back?
Answer:
Rs.92.95
Step-by-step explanation:
Given the following :
Metres of cloth purchased = 24.5m
Metres of ribbon = 13.5m
Cost of cloth per metre = Rs.85.40
Cost of Ribbon per metre = Rs.8.50
Total amount given to shopkeeper = Rs. 2300
how much money will he get back?
Total cost of cloth:
Cost per metre * number of metres
85.40 * 24.5 = Rs. 2092.30
Total cost of Ribbon :
Cost per metre * number of metres
8.50 * 13.5 = Rs. 114.75
Total cost of goods purchased :
Rs. (2092.30 + 114.75) = Rs. 2,207.05
Amount of change :
Rs. (2300 - 2207.05) = Rs.92.95
Help I dont understand this
Identify any transformations that are used in each image below.
Some images may have multiple answers so make sure to include them all.
-Reflections - how many lines of symmetry and what specific type: vertical (y-axis), horizontal (x-axis), diagonal (y=x or y=-x)
-Rotations - of which order or how many degrees/angle of rotation
a. Reflectional symmetry only. The mirror line is vertical along the center of the sunglasses. The left half mirrors over this line to get the right half, and vice versa. There isn't any rotational symmetry because we can't rotate the glasses (some angle between 0 and 360 exclusive of both endpoints) to have the image be the same as the preimage.
---------------------
b. Rotational symmetry only. The puzzle can be rotated 90 degrees and the before and after image will be the exact same. There isn't any reflectional symmetry here.
----------------------
c. Reflectional symmetry and rotational symmetry. Effectively a combination of parts a) and b). We have a horizontal line of symmetry to go with a vertical one. The angle of rotation is 180 degrees.
----------------------
d. Reflectional symmetry and rotational symmetry. Similar to part c). This time the angle of rotation is 360/3 = 120 degrees. There are 3 lines of symmetry and they all pass through a vertex of the triangle, and the symmetry lines are perpendicular to the opposite side.
----------------------
e. Reflectional symmetry and rotational symmetry. We can rotate 180 degrees and not change the image. There are two lines of symmetry which pass through the center, one line is horizontal and the other vertical.
-----------------------
f. Rotational symmetry only. We don't have reflectional symmetry due to the smaller petals not matching up when reflections happen. But we can rotate the figure 120 degrees the same way we can with figure d.
-when finding data as well as plotting data, you can find relationships within the data
displayed in charts or graphs, noticing the relationships can help build a solution a lot
easier.
this is what they wrote.
just type anything if u want the points.
Answer:
I came up with the answer check my questions to see it
Step-by-step explanation:
Legolas shoots 3 arrows at once from his bow. He has 177 arrows. How many times can Legolas shoot his bow before he needs more arrows?
Answer:
59
Step-by-step explanation:
3x=177
3x represents the # of arrow he can shoot at once every time
177 represents the total # of arrow he has
Answer:
59
Step-by-step explanation:
177/3=59
Please solve, -37-2v= -6(2v-3)-5
Answer:
[tex]\huge\boxed{v=5}[/tex]
Step-by-step explanation:
[tex]-37-2v=-6(2v-3)-5\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\-37-2v=(-6)(2v)+(-6)(-3)-5\\\\-37-2v=-12v+18-5\\\\-37-2v=-12v+(18-5)\\\\-37-2v=-12v+13\qquad\text{add 37 to both sides}\\\\-37+37-2v=-12v+13+37\\\\-2v=-12v+50\qquad\text{add}\ 12v\ \text{to both sides}\\\\-2v+12v=50\\\\(-2+12)v=50\\\\10v=50\qquad\text{divide both sides by 10}\\\\\dfrac{10v}{10}=\dfrac{50}{10}\\\\v=5[/tex]
Answer:
v = 5
Step-by-step explanation:
-37 -2v = -6 (2v - 3) - 5
-2v - 37 = -6 (6*2v - 6*3) - 5
-2v - 37 = - (12v - 18) - 5 combine like terms
-37 - 18 + 5 = -12v + 2v
-50 = -10v
v = -50 / -10
v = 5
A theme park ride carriage with a mass off 1000kg when empty needs to be accelerated at 0.5m/s2 along a horizontal track. What force is required to accelertae the empty ride carriage
Answer:
Required force (F) = 500 N
Step-by-step explanation:
Given:
Mass of carriage (m) = 1,000 kg
Acceleration (a) = 0.5 m/s²
Find:
Required force (F)
Computation:
Required force (F) = Mass × Acceleration
Required force (F) = 1,000 kg × 0.5 m/s²
Required force (F) = 500 kg-m/s²
Required force (F) = 500 N
Answer:
Answer:
Required force (F) = 500 N
Step-by-step explanation:
Given:
Mass of carriage (m) = 1,000 kg
Acceleration (a) = 0.5 m/s²
Find:
Required force (F)
Computation:
Required force (F) = Mass × Acceleration
Required force (F) = 1,000 kg × 0.5 m/s²
Required force (F) = 500 kg-m/s²
Required force (F) = 500 N
THANKS
1
3.0
(2 votes)
Step-by-step explanation:
Given:
Mass of carriage (m) = 1,000 kg
Acceleration (a) = 0.5 m/s²Find:Required force (F)Computation:Required force (F) = Mass × AccelerationRequired force (F) = 1,000 kg × 0.5 m/s²Required force (F) = 500 kg-m/s²
Required force (F) = 500 N
Which value of x makes the following matrix equation true?
Answer:
[tex]\large \boxed{{x=-3}}[/tex]
Step-by-step explanation:
[tex]{\mathrm{view \ attachment}}[/tex]
Solve A=1/2(bh) for h
Answer: 2A/b = h
Step-by-step explanation: First, get rid of the fraction by multiplying both sides of the equation by 2. That gives us 2A = bh.
Don't be thrown off by the capital A in this problem.
Just treat it like any other variable.
To get h by itself on the right side of the equation, we now simply
divide both sides of the equation by b and our answer is 2A/b = h.
Take a look back at the formula now in the
original problem, A = 1/2bh, does that look familiar?
Please help! Find the surface area of the composite figure
Answer:
Step-by-step explanation:
area of base=6×6=36 m²
surface area of four walls=4×6×12=144 m²
area of top= area of four triangles=4×1/2×6×5=60 m²
total surface area=36+144+60=240 m²
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
One-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
One-fourth (2 + v) = 3; v = 4 pounds of chopped vegetables
4 (2 + v) = 3; v = 1 pound of chopped vegetables
4 (2 + v) = 3; v = 5 pounds of chopped vegetables
Answer:
First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables
Step-by-step explanation:
"2 pounds of meat with some chopped vegetables"
2 + v
"She divides the mixture into 4 equal portions."
(1/4)(2 + v)
"Each portion weighs 3 pounds."
(1/4)(2 + v) = 3
2 + v = 12
v = 10
Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables
Answer:
(2+v)=3 v=10
Step-by-step explanation:
40. Which families of plane figures given below are NOT always similar?
A. Squares
C. Equilateral triangles
B. Circles
D. rectangle
Answer:
Rectangle
Explanation:
Rectangles can be oblong, and square is also a rectangle.
(-9) - 9n= (-45) please helpppp!
Answer: n=4
Step-by-step explanation:
[tex]\left(-9\right)-9n=\left(-45\right)[/tex]
add 9 to both sides
[tex]-9-9n+9=-45+9[/tex]
[tex]-9n=-36[/tex]
divide both sides by -9
[tex]n=4[/tex]
Brainliest please
━━━━━━━☆☆━━━━━━━
▹ Answer
n = 4
▹ Step-by-Step Explanation
(-9) - 9n = (-45)
Simple terms are written last:
-9 - 9 = -45
Group all the variable terms on one side, and all the constant terms on the other side:
(-9n - 9) + 9 = -45 + 9
n = 4
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
What are the possible steps involved in solving the equation shown? Select three options. 3.5 + 1.2(6.3 – 7x) = 9.38 Add 3.5 and 1.2. Distribute 1.2 to 6.3 and –7x . Combine 6.3 and –7x . Combine 3.5 and 7.56. Subtract 11.06 from both sides. Mark this and return Save and Exit Next Submit
Answer:
1) Distribute 1.2 to 6.3 and -7x
2)Combine 3.5 and 7.56
3)Subtract 11.06 from both sides
Step-by-step explanation:
3.5 + 1.2(6.3 - 7x) = 9.38
Distribute 1.2 to 6.3 and -7x
3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38
3.5 + 7.56 - 8.4x = 9.38
Combine 3.5 and 7.56
11.06 - 8.4x = 9.38
Subtract 11.06 from both sides
11.06 - 8.4x -11.06 = 9.38 - 11.06
-8.4x = -1.68
To find solution:
Divide both sides by (-8.4)
-8.4x/-8.4 = -1.68/-8.4
x = 0.02
Answer:
B, D, and E
its right cus i took the test soo..
What is the slope of the line? x + 3 y = 10 x+3y=10x, plus, 3, y, equals, 10 Choose 1 answer: Choose 1 answer: (Choice A) A 1 3 3 1 start fraction, 1, divided by, 3, end fraction (Choice B) B 1 10 10 1 start fraction, 1, divided by, 10, end fraction (Choice C) C − 1 10 − 10 1 minus, start fraction, 1, divided by, 10, end fraction (Choice D) D − 1 3 − 3 1
Answer:
-1/3Step-by-step explanation:
The standard from of equation of a line written in slope-intercept format is expressed as y = mx+c where c is the slope of the line and c is the y-intercept.
Given the equation of the line x+3y = 10, to get the slope of the line, we need write he equation in standard from first by making y the subject of the formula as shown;
[tex]x+3y = 10\\\\subtract\ x \ from \ both \ sides\\\\x+3y-x = 10 -x\\\\3y = -x+10\\\\Divide \ through\ by \ 3\\\\\frac{3y}{3} = -\frac{x}{3} +\frac{10}{3} \\\\[/tex]
[tex]y = -\frac{1}{3}(x) +\frac{10}{3} \\[/tex]
Comparing the resulting equation with y = mx+c, the slope 'm' of the equation is -1/3
The slope of the line is -1/3.
the correct option is D.
To find the slope of the line given by the equation x + 3y = 10, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope.
Let's rearrange the equation to solve for y:
x + 3y = 10
3y = -x + 10
y = (-1/3)x + 10/3
Comparing this equation to the slope-intercept form, we can see that the coefficient of x (-1/3) represents the slope.
Therefore, the slope of the line is -1/3.
Learn more about Slope here:
https://brainly.com/question/17158875
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if b is the midpoint of ac and if c is the midpoint of bd, then what percent of cd is ac
Answer:
ac is 200% of cd
Step-by-step explanation:
To answer this question, we shall be making a visual representation.
Let’s take it one at a time.
Given;
b is the midpoint of ac
a b c
What this means is that a-b represents 50%, while bc represents another 50%
okay, we move on:
c is the midpoint of bd
b c d
What this means is that bc is 50%, while cd is another 50%.
So let’s combine the representations;
a 50% b 50% c 50% d
Now what does the question says again?
What percent of cd is ac?
From a to c, we can see two 50% which means 100%
while cd is just the regular 50%
So we can see that ac is actually twice cd
What we are saying here is , if cd is x, then ac is 2x
So we can restructure our question to mean, what percent of x is 2x?
That is simply 2x/x * 100 and that is 200%
Answer: ac is 200% of cd
Step-by-step explanation:
Interior angles are located on the a. Inside b. Outside of a polygon. Exterior angles are located on the a. Inside b. Outside of a polygon.
Answer:
Interior angles are inside. Exterior angles are outside.
Step-by-step explanation:
"Interior" means inside. "Exterior" means outside.
Answer:
inside, outside
Step-by-step explanation:
PLZ ANSWER THIS QUESTION..Plzz
Answer:
x = 2 units
Step-by-step explanation:
Diagonals of rectangle are congruent and bisect each other
Therefore, OB = OA
5x + 4 = 3x + 8
5x = 3x + 8 -4
5x = 3x + 4
5x - 3x = 4
2x = 4
x = 4/2
x =2
HELPPPPPOPP ASAPPPPPPPPP PLEASSSEEEEEEE
Answer:
-11 - 5z = 6(5z + 4)
-11 - 5z = 30z + 24
-35 = 35z
z = -1
0 = -5y - 2y
5y = -2y
5 = -2
no solutions
A line passes through point (4,-3) and has a slope of 5/4. Write an equation in Ax + By = C
Answer:
The answer is
5x - 4y = 32Step-by-step explanation:
To write an equation of a line using a point and slope use the formula
y - y1 = m(x - x1)where
m is the slope
(x1 , y1) is the point
So we have
Equation of the line using point (4 , -3) and slope 5/4 is
[tex]y + 3 = \frac{5}{4} (x - 4)[/tex]
Multiply through by 4
4y + 12 = 5(x - 4)
4y + 12 = 5x - 20
5x - 4y = 20 + 12
The final answer is
5x - 4y = 32Hope this helps you
Find all the solutions to \[\frac{x+4}{x+5} = \frac{x-5}{2x}.\][tex]Find all the solutions to\[\frac{x+4}{x+5} = \frac{x-5}{2x}.\][/tex]
Answer:
x = -4 + 3 i or x = -4 - 3 i
Step-by-step explanation:
Solve for x:
(x + 4)/(x + 5) = (x - 5)/(2 x)
Hint: | Multiply both sides by a polynomial to clear fractions.
Cross multiply:
2 x (x + 4) = (x - 5) (x + 5)
Hint: | Write the quadratic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
2 x^2 + 8 x = (x - 5) (x + 5)
Hint: | Write the quadratic polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
2 x^2 + 8 x = x^2 - 25
Hint: | Move everything to the left hand side.
Subtract x^2 - 25 from both sides:
x^2 + 8 x + 25 = 0
Hint: | Using the quadratic formula, solve for x.
x = (-8 ± sqrt(8^2 - 4×25))/2 = (-8 ± sqrt(64 - 100))/2 = (-8 ± sqrt(-36))/2:
x = (-8 + sqrt(-36))/2 or x = (-8 - sqrt(-36))/2
Hint: | Express sqrt(-36) in terms of i.
sqrt(-36) = sqrt(-1) sqrt(36) = i sqrt(36):
x = (-8 + i sqrt(36))/2 or x = (-8 - i sqrt(36))/2
Hint: | Simplify radicals.
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (-8 + i×6)/2 or x = (-8 - i×6)/2
Hint: | Factor the greatest common divisor (gcd) of -8, 6 i and 2 from -8 + 6 i.
Factor 2 from -8 + 6 i giving -8 + 6 i:
x = 1/2-8 + 6 i or x = (-8 - 6 i)/2
Hint: | Cancel common terms in the numerator and denominator.
(-8 + 6 i)/2 = -4 + 3 i:
x = -4 + 3 i or x = (-8 - 6 i)/2
Hint: | Factor the greatest common divisor (gcd) of -8, -6 i and 2 from -8 - 6 i.
Factor 2 from -8 - 6 i giving -8 - 6 i:
x = -4 + 3 i or x = 1/2-8 - 6 i
Hint: | Cancel common terms in the numerator and denominator.
(-8 - 6 i)/2 = -4 - 3 i:
Answer: x = -4 + 3 i or x = -4 - 3 i
6x^2+12x=5x-2
solve the quadratic by factoring
[tex]6x^2+12x=5x-2\\6x^2+7x+2=0\\6x^2+3x+4x+2=0\\3x(2x+1)+2(2x+1)=0\\(3x+2)(2x+1)=0\\x=-\dfrac{2}{3} \vee x=-\dfrac{1}{2}[/tex]
HELP ASAP PLEASE!!!!!!!!!!!!!!!!!
Answer:
A
C
D
Step-by-step explanation:
√54 or√9 *√6 or √27 *√4
are equal to the answer.
You can do that by doing the square of outer number which is 3 which equals to 9 when squared and multiplying that with the number inside the square root.
