A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures The longest side of the drawing measures The longest side of the actual triangular piece to be sculpted must be long. How long will the shortest side of this piece be?
Answer:
3.71 m
Step-by-step explanation:
Here is the complete question.
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures 7 cm. The longest side of the drawing measures 20 cm. The longest side of the actual triangular piece to be sculpted must be 10.6 m long. How long will the shortest side of this piece be?
Solution
This is a scale drawing question.
Since scale = Scaled size/Actual size, we need to find the scale ratio of the triangle.
Now, the longest side of the drawing measures 20 cm which is equal to the scaled size and the longest side of the actual triangular piece to be sculpted is 10.6 m long which is the actual size.
So, scale = 20 cm/10.6 m
= 0.2/10.6
= 1/53.
Since in the scale drawing, the shortest side of the triangular piece to be made measures 7 cm, this is the scaled size, so the actual size of the shortest side is gotten from
scale = Scaled size/Actual size.
So,
Actual size = Scaled size/scale
= 7 cm ÷ 1/53
= 53 ×7 cm
= 371 cm
= 3.71 m
PLS HELP ME ASAP!! THIS IS DUE IN FIVE MINUTES!! (100 POINTS IF YOU ANSWER IT)
Answer:
i think B
Step-by-step explanation:
4(2x - 5) -6( ) = 6+9) + (2x - 5)
Answer: x=6
Step-by-step explanation:
Step 1: Remove parentheses.
4(2x-5)-6=6+9+2x-54(2x−5)−6=6+9+2x−5
Step 2: Simplify 6+9+2x-56+9+2x−5 to 2x+102x+10.
4(2x-5)-6=2x+104(2x−5)−6=2x+10
Step 3: Expand.
8x-20-6=2x+108x−20−6=2x+10
Step 4: Simplify 8x-20-68x−20−6 to 8x-268x−26.
8x-26=2x+108x−26=2x+10
Step 5: Add 26 to both sides.
8x=2x+10+268x=2x+10+26
Step 6: Simplify 2x+10+262x+10+26 to 2x+362x+36.
8x=2x+368x=2x+36
Step 7: Subtract 2x2x from both sides.
8x-2x=368x−2x=36
Step 8: Simplify 8x-2x8x−2x to 6x.
6x=36
Step 9: Divide both sides by 6.
x= 36/6 as a fraction
Step 10: Simplify \frac{36}{6} to 6.
x= 6x
[tex] \bold{4(2x - 5) -6 = 6+9) + (2x - 5)}[/tex]
[tex] \bold{4(2x−5)−6=6+9+2x−5}[/tex]
[tex] \bold{4(2x−5)−6=2x+10}[/tex]
[tex] \bold{8x−20−6=2x+10}[/tex]
[tex] \bold{8x=2x+10+26}[/tex]
[tex] \bold{8x=2x+36}[/tex]
[tex] \bold{8x−2x=36}[/tex]
[tex] \bold{6x=36}[/tex]
[tex] \bold{x = \cfrac{36}{6}} [/tex]
[tex] \bold{x = 6}[/tex]
Note: The Parentheses must be eliminated to then use the law of signs, then we must expand the numbers, then simplify (that is, subtract) Now in the next step is to Add 26 on both sides then we must subtract and then add until we get the result of 6, so that ultimately we can take out a fraction and give us the correct answer, which is [tex]\bold{x=6}[/tex]
The curved surface area of a right circular cylinder of height14 cm is 88 cm2. Find the diameter of the base of the cylinder.
Answer:
4
Step-by-step explanation:
The formulae for Curved surface
area = πrh
Area = 88cm2
height = 14cm
radius = ?
Let π be 22/7
88 = 22/7 x r x 14
cross multiply
88 x 7 = 22 x 14 x r
616 = 308r
Divide both sides by 308
r = 2
Diameter = Radius x 2
so our radius is 2, 2 x 2 = 4
Consider the expression –4b + 8c + 12 – 8b – 2c + 6. Part A Simplify the expression. b + c + Part B Factor the simplified expression using the GCF. 2(–2b + c + 3) 3(–2b + c + 3) 4(–2b + c + 3) 6(–2b + c + 3) Part C What is the value of the expression when b = 2 and c = –3?
Answer:
Step-by-step explanation:
Given the expression
-4b + 8c + 12 – 8b – 2c + 6.
To simplify, first collect the like terms
= (-4b-8b)+(8c-2c)+(12+6)
= -12b+6c+18
Factor out the GCF
The GCF is 6
On factoring out;
= 6(-2b+c+3)
If b = 2 and c = -3 the expression becomes:
= 6(-2(2)+(-3)+3)
= 6(-4-3+3)
= 6(-4+0)
= 6(-4)
= -24
Hence the value of the expression when b = 2 and c = -3 is -24
Answer:
3
Step-by-step explanation:
Write an expression equivalent to -4(-6m - 7).
Answer: 24m+28
Step-by-step explanation:
Distribute the negative four among the two terms.
Answer:
[tex](12*2)m+(-56/-2)[/tex]
I hope this helped :)
Noah gave his mom 3 types of flowers: 6 big red roses, 8 small white carnations, and 3 big yellow sunflowers in a bouquet. What is the ratio of big flowers to total flowers?
could you explain. to please?
help?! :)
using the pattern rule find the missing value in the table
Answer:
7
Step-by-step explanation:
1+3=4
2+3=5
3+3=6
4+3=7
Apocalyptica Corp. pays a constant $18 dividend on its stock. The company will
maintain this dividend for the next 4 years and will then cease paying dividends
forever. If the required return on this stock is 7.78 percent, what is the current share
price?
Given :
Apocalyptica Corp. pays a constant $18 dividend on its stock.
The company will maintain this dividend for the next 4 years and will then cease paying dividends forever.
To Find :
If the required return on this stock is 7.78 percent, what is the current share
price.
Solution :
Current price ( After 4 hours ) :
[tex]C.P = 18[\dfrac{1}{(1+0.10)^1}+\dfrac{1}{(1+0.10)^2}+\dfrac{1}{(1+0.10)^3}+\dfrac{1}{(1+0.10)^4}]\\\\C.P=\$57.058[/tex]
Therefore, current share price is $57.058 .
Hence, this is the required solution.
Solve for x. Enter the solutions from least to greatest. (2x +4)(3x -2)=0
-0.4
Step-by-step explanation:
You need to combine like terms, whatever that means. So you would add 2x and 3x to get 5x, and then 4+(-2), which would get you to 5x+2=0. Next, you subtract 2 from both sides, so you have 5x=(-2), and then you have to divide both sides by 5.
That's how I got x=(-0.4).
Answer:-2, 2/3
Step-by-step explanation:
I did on khan academy
Rewrite in simplest terms: 4(-3f-4)-9f
Answer:
-21f-16
Step-by-step explanation:
4(-3f-4)-9f
-12f-16
Round 198.1 to the nearest tenth,hundredths,hundred
Answer:
200
Step-by-step explanation:
Scott and Trevor each have some quarters. Trevor has 9 more quarters than Scott. The combined value of their quarters is $8.75 cents. How many quarters does Trevor have?
Answer:
I think it is $6.50.
Step-by-step explanation:
If you take the value of a quarter .25, and just subtract that 9 times, you'll get your answer
The ratio of pink rose to yellow roses in a flower arrangement is 5:3. If there are 15 yellow roses, then how many total flowers are in the arrangement?
Answer:
bat ang pogi ko hahahaha
Geri believed the answer to one of her homework problems was 2 cubed. After checking her work, she realized the correct answer was 2 Superscript 9. How do these two answers compare?
A.The correct answer is 3 times Geri’s original answer.
B.The correct answer is 6 times Geri’s original answer.
C.The correct answer is 9 times Geri’s original answer.
D.The correct answer is 64 times Geri’s original answer.
Answer:
D
Step-by-step explanation:
7/8 square foot in 1/4 hour
Answer:
2 1/2
Step-by-step explanation:
The unit rate for the given parameters is 3 1/2 square feet /hour.
Given that, 7/8 square feet in 1/4 hour.
We need to find the unit rate.
How to find unit rate?In a unit rate, the denominator is always 1. So, to find the unit rate, divide the denominator with the numerator in a way that the denominator becomes 1.
Now, unit rate = 7/8 ÷ 1/4
=7/8 × 4 =7/2
=3 1/2 square feet /hour
Therefore, the unit rate for the given parameters is 3 1/2 square feet /hour.
To learn more about a unit rate visit:
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Your family drives across Kansas on Interstate 70. A sign reads, “Wichita 90 mi, Topeka 110 mi”. What is the possible range of distances between the two cities given that the cities are not collinear?
Answer:
20 miles < The distance between the cities < 200 miles
Step-by-step explanation:
The given information on the sign = "Wichita 90 mi, Topeka 10 mi"
Given that the two cites are not colinear, we have;
The number of points specified in the figure = 3 points
The specified points are;
1) The location of the family
2) The location of Wichita, relative to the family's location, = 90 mi
3) The location of Topeka, relative to the family's location, = 110 mi
Therefore, given that the three points are not colinear, they form the vertices of a triangle
The legs of the triangle are 90 mi and 110 mi
The maximum distance between Wichita and Topeka is therefore = 90 + 110 = 200 miles
The minimum distance distance from Wichita to Topeka = 110 - 90 = 20 miles
Therefore, the possible range of distances between the two cities is 20 miles to 200 miles.
Which gives;
20 miles < The distance between the cities < 200 miles.
Which of the following fractions have the same value as 16 ÷ (–3)? Check all that apply.
A.StartFraction 16 over negative 3 EndFraction
B.StartFraction negative 16 over negative 3 EndFraction
C. StartFraction negative 16 over 3 EndFraction
D.StartFraction 16 over 3 EndFraction
E.Negative (StartFraction 16 over 3 EndFraction)
F.Negative (StartFraction 16 over negative 3 EndFraction)
Answer:
- 8/3
Step-by-step explanation:
eh
The fractions that have the same value as 16 ÷ (–3) is StartFraction 16 over negative 3 EndFraction. Option A is correct.
As we all know that a fraction comprises of majorly the upper part which is the numerator, separated by a division line, and the lower part which is the denominator.
The given expression 16 ÷ (–3) can be represented in fraction as;
[tex]\mathbf{\dfrac{16}{-3}}[/tex]
From the given options:
A. StartFraction 16 over negative 3 EndFraction
[tex]\mathbf{\dfrac{16}{-3}}[/tex]
B. StartFraction negative 16 over negative 3 EndFraction
[tex]\mathbf{=\dfrac{-16}{-3} }[/tex]
[tex]\mathbf{=\dfrac{16}{3} }[/tex]
C. StartFraction negative 16 over 3 EndFraction
[tex]\mathbf{\dfrac{-16}{3}}[/tex]
D. StartFraction 16 over 3 EndFraction
[tex]\mathbf{\dfrac{16}{3}}[/tex]
E. Negative (StartFraction 16 over 3 EndFraction)
[tex]\mathbf{-\Big(\dfrac{16}{3}\Big)}[/tex]
[tex]\mathbf{\dfrac{-16}{-3}}[/tex]
F. Negative (StartFraction 16 over negative 3 EndFraction)
[tex]\mathbf{-\Big(\dfrac{16}{-3}\Big)}[/tex]
[tex]\mathbf{\dfrac{-16}{3}}[/tex]
Therefore, from the above explanation, we can see that only option A is correct.
Learn more about fractions here:
https://brainly.com/question/14748058?referrer=searchResults
Is this the answers? Idk I’m dumb
Answer:
Step-by-step explanation:
yes i think
You drive to visit your parents, who live 100 miles away. Your average speed is 50 miles per hour. On arrival, you stay for five hours and then return home, again at an average speed of 50 miles per hour. Which graph depicts your distance from home from the time you leave until you return?
Answer: The first graph is the answer.
Step-by-step explanation: If your parents house is 100 hours away, and you're driving at 50 mph, then it would take 2 hours to get to you're parents house (100 ÷ 2 = 50). Then you stay at your parents house for 5 hours (2 + 5 = 7), the graph stays the same place on the y axis for 5 hours. Afterwards you drive home, same distance as when you drove to your parents (2), but you're going back so it's going down. This makes graph 1 the answer.
Answer:
The first graph A
Step-by-step explanation:
Just took the test on edgetrash lol
Find the solution of this system of equations
-5x = -21 + by
-5x + y = -84
Answer:
x=15 and y=-9
Step-by-step explanation:
In a sports competition, Alyssa was penalized -16 points. She received the same number of penalty points in each of the 4 events. How many points was she penalized each event?
Answer:
-64
Step-by-step explanation:
multiply -16 by 4 to get the total of -64
como se obtiene la raiz cuadrada de un numero?
Answer:
Multiplica el numero por si mismo.
Step-by-step explanation:
Por ejemplo, la raíz cuadrada de 3 es 9 porque 3x3=9
A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 6 1/4 °F. The submarine dives down 115 feet deeper, and the water temperature drops by 2 1/5 °F. What were the elevation and the water temperature after the submarine dove? Assume that sea level is at 0 feet of elevation. Complete the steps below to solve the problem.
Step-by-step explanation:
At the elevation 617.5 feet below the sea level temperature of the water was °F
Step-by-step explanation:
At 502.5 feet below the sea level temperature of the water is °F
When submarine dives down 115 feet deeper, water temperature drops by °F
Elevation after the submarine dove = -502.5 - 115 = -617.5 feet
This negative sign represents the elevation below the sea level.
And the temperature will be = 
= 
= 
= 
= °F
Therefore, at the elevation 617.5 feet below the sea level temperature of the water was °F
Hope it will help you.....Answer:
that is correct
Step-by-step explanation:
Which inequalities are true? Check all that apply.
Answer:
1,2,3, and 5
Step-by-step explanation:
I plugged them all into a calculator
Find all the zeros of j(x)=2x^4-5x^3-5x^2+20x-12
Answer:
j ( x ) = x 2 − 6 x − 9
f ( x ) = ( x − 3 ^)3
f ( x ) = 6 x 18
Step-by-step explanation:
Round 297,433 to the nearest hundred.
Answer:
297,433 rounded to the nearest hundred would be 297,400. You can see that 33 is less than 50, so it would be rounded down to 0.
given the function g(x)=x^2-2 find the range for the domain (-2,-1,1,3)
Answer:
(-2,2)
(-1,-1)
(1,-1)
(3,7)
If you graph it with a graphing calc. and pinpoint the X's(domains) then you can see the Y's(ranges)
If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
g(x) = x² - 2
The value of the function at x = -2 is given as,
g(-2) = (-2)² - 2
g(-2) = 4 - 2
g(-2) = 2
The value of the function at x = -1 is given as,
g(-1) = (-1)² - 2
g(-1) = 1 - 2
g(-1) = - 1
The value of the function at x = 1 is given as,
g(1) = (1)² - 2
g(1) = 1 - 2
g(1) = - 1
The value of the function at x = 3 is given as,
g(3) = (3)² - 2
g(3) = 9 - 2
g(3) = 7
If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).
More about the function link is given below.
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An arithmetic series in sigma notation is shown. What is the sum of the first 14 terms of the series
Answer:
-298
Step-by-step explanation:
Given the relation above :
n = 1 through 14
For n = 1
22 - 6(1)
n = 2
22- 6(2)....
Hence, sun of first 14 terms :
(22 - 6*1) + (22 + 6*2) + (22 - 6*3) + (22 - 6*4) + (22 - 6*5) + (22 - 6*6) + (22 - 6*7) + (22 - 6*8) + (22 - 6*9) + (22 - 6*10) + (22 - 6*11) + (22 - 6*12) + (22 - 6*13) + (22 - 6*14)
= - 298
Katarina wrote the standard form of a linear equation as 4x – 4 x minus StartFraction 2 Over 3 EndFraction y equals 8.Y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina? Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12. Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.
Answer:
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Step-by-step explanation:
Katarina's equation
4x - 2/3y = 8
In order to convert Katrina's linear equation into standard form,
She should find the least common denominator
4x - 2/3y = 8
{4x(3) - 2y(1)} / 3 = 8
(12x - 2y) / 3 = 8
Multiply both sides by 3
(12x - 2y) / 3 × 3 = 8 × 3
12x - 2y = 24
Divide both sides by 2
(12x - 2y) / 2 = 24 / 2
6x - y = 12
The advice sofiya gave Katrina is to Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Answer:
B) Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Step-by-step explanation:
edg2020