1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nina [5.8K]
3 years ago
13

A scale drawing of a rectangular painting is shown below. In the drawing, side E is 10 centimeters and side D is 24 centimeters.

What is the length, in feet,of side D of the actual painting?
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:

Side D is 0.78 feet (to 2 s.f.)

Step-by-step explanation:

In the Scale Drawing, side D=24 centimeters

1 foot = 30.48cm

x foot = 24 cm

Therefore:

24 X 1 = 30.48 X x

x= 24/30.48 =0.7874 feet

Side D is 0.78 feet (to 2 s.f.)

You might be interested in
Find thd <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D" id="TexFormula1" title="\frac{dy}{dx}" alt="\frac{dy}{dx}" a
NARA [144]

x^3y^2+\sin(x\ln y)+e^{xy}=0

Differentiate both sides, treating y as a function of x. Let's take it one term at a time.

Power, product and chain rules:

\dfrac{\mathrm d(x^3y^2)}{\mathrm dx}=\dfrac{\mathrm d(x^3)}{\mathrm dx}y^2+x^3\dfrac{\mathrm d(y^2)}{\mathrm dx}

=3x^2y^2+x^3(2y)\dfrac{\mathrm dy}{\mathrm dx}

=3x^2y^2+6x^3y\dfrac{\mathrm dy}{\mathrm dx}

Product and chain rules:

\dfrac{\mathrm d(\sin(x\ln y)}{\mathrm dx}=\cos(x\ln y)\dfrac{\mathrm d(x\ln y)}{\mathrm dx}

=\cos(x\ln y)\left(\dfrac{\mathrm d(x)}{\mathrm dx}\ln y+x\dfrac{\mathrm d(\ln y)}{\mathrm dx}\right)

=\cos(x\ln y)\left(\ln y+\dfrac1y\dfrac{\mathrm dy}{\mathrm dx}\right)

=\cos(x\ln y)\ln y+\dfrac{\cos(x\ln y)}y\dfrac{\mathrm dy}{\mathrm dx}

Product and chain rules:

\dfrac{\mathrm d(e^{xy})}{\mathrm dx}=e^{xy}\dfrac{\mathrm d(xy)}{\mathrm dx}

=e^{xy}\left(\dfrac{\mathrm d(x)}{\mathrm dx}y+x\dfrac{\mathrm d(y)}{\mathrm dx}\right)

=e^{xy}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)

=ye^{xy}+xe^{xy}\dfrac{\mathrm dy}{\mathrm dx}

The derivative of 0 is, of course, 0. So we have, upon differentiating everything,

3x^2y^2+6x^3y\dfrac{\mathrm dy}{\mathrm dx}+\cos(x\ln y)\ln y+\dfrac{\cos(x\ln y)}y\dfrac{\mathrm dy}{\mathrm dx}+ye^{xy}+xe^{xy}\dfrac{\mathrm dy}{\mathrm dx}=0

Isolate the derivative, and solve for it:

\left(6x^3y+\dfrac{\cos(x\ln y)}y+xe^{xy}\right)\dfrac{\mathrm dy}{\mathrm dx}=-\left(3x^2y^2+\cos(x\ln y)\ln y-ye^{xy}\right)

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x^2y^2+\cos(x\ln y)\ln y-ye^{xy}}{6x^3y+\frac{\cos(x\ln y)}y+xe^{xy}}

(See comment below; all the 6s should be 2s)

We can simplify this a bit by multiplying the numerator and denominator by y to get rid of that fraction in the denominator.

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x^2y^3+y\cos(x\ln y)\ln y-y^2e^{xy}}{6x^3y^2+\cos(x\ln y)+xye^{xy}}

3 0
3 years ago
Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are pla
stiks02 [169]
2*3=6 children Mrs Gomez has

6-2= 4 girls she has

pink carnations/ blue carnations= 4/2=2
⇒ numbers of pink carnations= 2* blue carnations

⇒ 12 pink  carnations and 6 blue carnations

5 0
3 years ago
Read 2 more answers
The percentage of the tax rate if the business office was valued at $135,000​
nignag [31]

Answer:

N/A

Step-by-step explanation:

This can't be answered, does not make sense, What percentage??

4 0
3 years ago
Use polynomial division to completely factor y=x^3+3x^2-13x-15 by x+5
Salsk061 [2.6K]

Answer:

(x - 3)(x + 1)(x + 5)

Step-by-step explanation:

I'd use synthetic division instead.  If we were to find the roots of the given polynomial, we could from them write the factors as well.

The divisor x + 5 corresponds to root x = -5.  Setting up synthetic div.,

-5   )   1    3    -13    -15

               -5     10    +15

      -----------------------------

           1   -2     -3      0

Since the remainder is 0, we know that -5 is a root and (x + 5) is a factor.  Moreover, we know that the coefficients of the quotient are 1, -2 and -3.

1x² - 2x - 3 can be factored:  the factors are (x - 3) and (x + 1).

So the end result for this problem is (x - 3)(x + 1)(x + 5).

7 0
2 years ago
Hi everone can you help i will be sending more qusetions each one is 10 points thank you
kkurt [141]

Answer:

144 cubic inches

Step-by-step explanation:

volume = l x w x h. This = 8 x 6 x 3.

Hope this helps :)

8 0
2 years ago
Read 2 more answers
Other questions:
  • By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50
    12·1 answer
  • Solving one step equations
    13·2 answers
  • Mo puts $1,600.00 into savings bonds that pay a simple interest rate of 3.5%. How much money will the bonds be worth at the end
    11·1 answer
  • A recipe calls for 2 cups of flour to make 2 dozen cookies. use the proportion to calculate how much flour is needed to make 6 d
    13·1 answer
  • Mr khan jogged 9/10 mile in 1/6 hour at this rate how many miles can he jog in 1 hour
    12·2 answers
  • -2x-9y=-25, -2x-9y=-23 in elimination method
    8·1 answer
  • Enter the equation described in this sentence.<br>The product of 12 and j is equal to 75.6.<br>​
    5·2 answers
  • Hi i need asap idk this one
    14·1 answer
  • How many 1.5 ft<br> pieces of pipe can you cut from a 12ft pipe
    15·2 answers
  • What does it mean to say two variables are positively associated
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!