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
Helga [31]
3 years ago
15

A carpenter is assigned a job of installing a spa into a pre-existing deck. The dimensions of the deck are (6x + 10) wide by (3x

+ 4) long. The dimensions of the spa are (5x + 2) wide by (2x + 1) long.
Write the polynomial that represents the remaining area of the deck after the carpenter cut the hole out for the spa.
(a) 8x2 + 63x + 42
(b) 28x2 + 63x + 42
(c) 28x2 + 45x + 38
(d) 8x2 + 45x + 38
Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0
Simply, you subtract the spa area from the deck one.

A = (6x+10)(3x+4)-[(5x+2)(2x+1)]

A = 18x^2+24x+30x+40-(10x^2+5x+4x+2)

A = 18x^2+24x+30x+40-10x^2-5x-4x-2

A = 8x^2 + 45x + 38

Answer D
You might be interested in
What is the total surface area of the rectangular prism?​
bogdanovich [222]

Answer:

Total surface = 102.4 cm^2 (second answer in the list of options)

Step-by-step explanation:

Notice that we need to add the surface of 4 rectangles, two have smaller sizes than the other two. A pair of rectangles are 7.2 cm x 4 cm = 28.8 cm^2, while the other pair has 7.2 cm x 2 cm = 14.4 cm^2

There are also two equal bases each one of size 4 cm x 2 cm = 8 cm^2

Now we add two of each of the individual surfaces discussed above to complete the total surface area:

2 * 28.8 + 2 * 14.4 + 2 * 8 =  102.4 cm^2

which agrees with the second answer option provided.

3 0
3 years ago
(GIVING BRAINLIEST AND 15 POINTS FOR ANSWER) Solve five and three sixths minus two and one third.
a_sh-v [17]

Answer:

three and three eighteenths

5 3/6 = 33/6

2 1/3 = 7/3 = 14/6

33/6 - 14/6 = 19/6 = 3 1/6 or 3 3/18

5 0
2 years ago
Which statement holds true for a skewed histogram showing a distribution of the weights of students in a class?
Vanyuwa [196]
Among the choices, the statement which describes a skewed histogram showing a distribution of the weights of students in a class is:

<span>"The nature of the skew can be verified by the position of the mean with respect to the mode."

The histogram is skewed to the right if the mean is less than the mode and the histogram is skewed to the left if the mean is more than the mode. </span><span />
8 0
3 years ago
Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.
lakkis [162]

Answer:

2*sin(x)+y*cos(x)-cos(y)=C_1

Step-by-step explanation:

Let:

P(x,y)=2*cos(x)-y*sin(x)

Q(x,y)=cos(x)+sin(y)

This is an exact differential equation because:

\frac{\partial P(x,y)}{\partial y} =-sin(x)

\frac{\partial Q(x,y)}{\partial x}=-sin(x)

With this in mind let's define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x}=P(x,y)

and

\frac{\partial f(x,y)}{\partial y}=Q(x,y)

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y)

f(x,y)=\int\  2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}

Now, let's replace the previous result into \frac{\partial f(x,y)}{\partial y}=Q(x,y) :

cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)

Solving for \frac{dg(y)}{dy}

\frac{dg(y)}{dy}=sin(y)

Integrating both sides with respect to y:

g(y)=\int\ sin(y)  \, dy =-cos(y)

Replacing this result into f(x,y)

f(x,y)=2*sin(x)+y*cos(x)-cos(y)

Finally the solution is f(x,y)=C1 :

2*sin(x)+y*cos(x)-cos(y)=C_1

7 0
3 years ago
lily pads increase by 25% very 10days. if a pond starts 22 lilly pads, how many will there be after 50 days
Mars2501 [29]

Step-by-step explanation:

This is an exponential increase. As represented in the picture, approximately 77 lilly pads will be produced after 50 days when there is initial of 22.

7 0
2 years ago
Other questions:
  • What number makes the expressions equivalent? Enter your answer in the box. 12 (–1.4m + 0.4) = m + 0.2
    11·2 answers
  • 0.1x+0.2y=-1;0.5x-0.9y=6.4
    6·1 answer
  • Please help I need to finish this. Please just give me the answer.
    5·1 answer
  • A manufacturer claims that its cleaning product is best because over half of the cleaning services surveyed used the product. Wh
    14·1 answer
  • Alex, Gil and Meg shared 740 cards. Alex had 20 fewer cards than Gil and
    8·1 answer
  • Justin has $0.90 worth of nickels and dimes. He has a total of 15 nickels and dimes altogether. Determine the number of nickels,
    7·1 answer
  • I need the answer plzzz I really need it plzz help me
    8·2 answers
  • I need the steps and solution <br>-10x + 5y = 10 <br>x - 5y = -28​
    7·1 answer
  • help please i been stuck for 2 hours........... the triangle above is a right-angled isosceles triangle. what would the measurem
    6·1 answer
  • Making late payments on credit card bills has what kind of effect on a person's credit score?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!