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worty [1.4K]
3 years ago
5

The area of the rectangular floor in Tamara's room is 95 5/6 square

Mathematics
2 answers:
jasenka [17]3 years ago
5 0
Answer is 11 1/2 feet
Leno4ka [110]3 years ago
4 0

Answer: 11 1/2 ft

Step-by-step explanation:

We know that the equation for the area of a rectangle is:

length x width = area

All we have to do is fill it in with the numbers and solve:

length x 8 1/3 = 95 5/6

length = 95 5/6 ÷ 8 1/3

length = 23/2 = 11 1/2

Thus, the length of Tamara's room is 11 1/2 feet.

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For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts
Irina18 [472]

we are given

y=3x^2+7x+m

To find x-intercept means we have to find zeros

and for finding zeros , we will use quadratic formula

and we have it has two x-intercepts

so, it's discriminant must be greater than 0

so, we will find discriminant

D=\sqrt{b^2-4ac}

now, we can compare with

y=ax^2+bx+c

y=3x^2+7x+m

and then we can find a , b and c

a=3,b=7,c=m

now, we can find D

D=\sqrt{7^2-4*3*m}

D=\sqrt{49-12m}

It has two x-intercepts

so,

D=\sqrt{49-12m}>0

now, we can solve for m

49-12m>0

12m

m............Answer

8 0
3 years ago
Read 2 more answers
Given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12<br> a + 2b - d = ?
Mariulka [41]

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

a=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

a=

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

8 0
3 years ago
If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made? The diameter and the chord are con
yarga [219]

Answer:

The chord is bisected ⇒ 3rd answer

Step-by-step explanation:

* Lets revise some facts in the circle to solve the problem

- A chord in a circle is the segments whose endpoints lie on the

 circumference of the circle

- A diameter of a circle is a chord passes through the center of the

 circle

- The diameter is the longest chord in the circle

- Any line passes through the center of the circle and perpendicular

 to a chord on the circle bisects it

* Lets solve the problem

∵ The diameter of the circle passes through the center of the circle

∵ The diameter intersects a chord of a circle at a perpendicular

∴ The diameter is perpendicular to the chord

∵ Any line passes through the center of the circle and perpendicular

  to a chord on the circle bisects it

∴ The diameter bisects the chord

* The chord is bisected

8 0
3 years ago
Read 2 more answers
Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a
AlekseyPX

Answer:

45 square inches

Step-by-step explanation:

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom

Total surface  =  surface area of the base square + area of 4 triangles

Calculate the surface area of the base square

surface area of the square =  s^2

where s= side length

s=3 in

The surface area of the base  =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles  =  4 x 9  

= 36 square inches

Therefore,

Total surface  =  surface area of the base square + area of 4 triangles

=  9 + 36

= 45 square inches

6 0
3 years ago
The missing number in the series 1,4,27,__,3125 is:
sveta [45]

Answer:

D )  256

Step-by-step explanation:

The given sequence is  1,4,27, ---, 3125

This is sequence of given problem

1^{2},2^{2} ,3^{3} ,4^{4} ,5^{5}

so here missing is '4' term is

The fourth term is 256.

5 0
3 years ago
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