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HACTEHA [7]
2 years ago
9

Write 0.81 as a fraction

Mathematics
1 answer:
telo118 [61]2 years ago
7 0

Answer:

9/11

Step-by-step explanation:

The other answer choices' forms are below:

37/11 = 3.36

27/11 = 2.45

1/99 = 0.01

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Two rectangular prisms have a combined volume of 432 cubic feet. Prism A has half the volume of Prism B.
dexar [7]

Answer:

a. 144 cubic foot

b. 12 ft

c. 18 ft

Step-by-step explanation:

Let the volume of prism A be V_a

and that of prism b be V_b

ATQ,   V_a  +  V_b= 432

also V_a= 0.5 V_b

⇒1.5 V_b= 432

= V_b= 432/1.5= 288 cubic feet

therefore V_a= 144  cubic feet

volume of prism= area of base×height = V_a

24×h = 144

⇒h= 12 ft

A_b= 2/3×24

⇒base area of prism B= 16 sq.ft

now 16×h_b= 288⇒h_b= 288/16= 18 ft

3 0
3 years ago
Read 2 more answers
Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3. The resulting rectangle WXYZ has an area
zloy xaker [14]

Answer:

Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.

Step-by-step explanation:

The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².

Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.

So, ab = 72 ........... (1)

Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.

So, the area of rectangle ABCD will be (\frac{a}{3} \times \frac{b}{3}) = \frac{ab}{9} = \frac{72}{9} = 8 cm² {from equation (1)}

Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)

8 0
3 years ago
Determine the equation of the parabola shown in the diagram in factored form. (check picture below)
krok68 [10]

Answer:

(x+1)(x-3)

Step-by-step explanation:

A quadratic in factored form is usually expressed as: a(x\pm a)(x \pm b) where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: a(x+1)(x-3). Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)

I'll use the point (1, -4) the vertex

-4 = a(1+1)(1-3)

-4 = a(2)(-2)

-4 = -4a

1 = a. So yeah the value of a is 1

So the equation is just: (x+1)(x-3)

6 0
2 years ago
2x+y=8<br> y+3z=5<br> z+2w=1<br> 5w+3x=9<br><br> what is x,y,z,w
notka56 [123]

Answer:

Systems of equations:

x=3

y=2

z=1

w=0

5 0
1 year ago
7 x-3(4 x-8)&lt;6 x+12-9 x
kari74 [83]

Answer:

x > 6

Step-by-step explanation:

1.) Distribute - 3 through the parenthesis

7x-3(4x-8)<6x+12-9x

7x-12x+24<6x+12-9x

2.) Then collect like terms

7x-12x+24<6x+12-9x

7x-12x+24<-3x+12

7x-12x+24<-3x+12

-5x+24<-3x+12

3.) Move the <u>variable</u> to the left and change the sign

-5x+24<-3x+12

-5x+3x+24<12

4.) Move the <u>constant</u> to the right and change it's sign

-5x+3x+24<12

-5x+3x<12-24

5.) Collect like terms

-5x+3x<12-24

-2x<12-24

6.) Calculate the difference

-2x<-12

7.) Divide both sides by -2 and flip the inequality sign

-2x<-12

x>6

6 0
2 years ago
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