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Licemer1 [7]
3 years ago
15

Help please how many times longer is 3/4 than 2/15

Mathematics
2 answers:
Solnce55 [7]3 years ago
6 0


3/4-2/15=37/60(0.62)

HOPE THIS HELPS!!!!!!!!!

liq [111]3 years ago
3 0
3/4 is longer than 2/15 by 37/60
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An architect wants to draw a rectangle with a diagonal of 15 centimeters. The length of the rectangle is to be 6 centimeters mor
S_A_V [24]

Answer:

She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

Step-by-step explanation:

  • The diagonal of a rectangle is represented by \sqrt{length^2+width^2}.
  • Area of rectangle is = length×width
  • Perimeter of a  rectangle = 2(length+width).

Assume x be the width of the rectangle.

The length of the rectangle is to be 6 cm more than twice the width.

The length of the rectangle is= (2x+6) cm

Then the diagonal of the rectangle is \sqrt{length^2+width^2}

                                                             =\sqrt{(2x+6)^2+x^2}

                                                            =\sqrt{4x^2+24x+36+x^2}

                                                             =\sqrt{5x^2+24x+36} cm

According to the problem,

\sqrt{5x^2+24x+36}=15

Squaring both sides

\Rightarrow{5x^2+24x+36}=15^2

\Rightarrow{5x^2+24x+36}=225

\Rightarrow{5x^2+24x+36-225=0

\Rightarrow{5x^2+24x-189=0

⇒5x²+45x-21x-189=0

⇒5x(x+9)-21(x+9)=0

⇒(x+9)(5x-21)=0

⇒x+9=0  or,   5x-21=0

\Rightarrow x=-9, \frac{21}5

⇒x= -9, 4.2

Since the width of a rectangle can not negative.

So, x=4.2 cm

The width of rectangle is = 4.2 cm

The length of the rectangle is =(2×4.2+6)

                                                  =14.4 cm

She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

8 0
2 years ago
In need of major help right now..<br><br>(I answered B)
Mkey [24]

A. 18 - 25 because 29% plus 23% equals 52%


7 0
3 years ago
Read 2 more answers
PLEASE ANSWER 90 POINTS!!
denpristay [2]

Answer:

unlikey

Step-by-step explanation:

6 0
1 year ago
-10n + 24 + 30n = -36<br> Solve this equation
vladimir1956 [14]

Step-by-step explanation:

- 10n + 24 + 30n =  - 36

Collect like terms and simplify

[tex] -10n+30n=-36-24 \\ 20n = -60 [/tex]

Divide both sides of the equation by 20

[tex] 20n/20 = -60/20 \\ n=-3 [/tex]

8 0
2 years ago
Read 2 more answers
3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round
Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying  \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone :  V=\pi r^{2} \frac{h}{3} = 3.14 \times 9^{2} \times \frac{14}{3} = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying  \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  V=\frac{4}{3} \pi r^{3} =  \frac{4}{3} \times 3.14 \times 9^{3} = 3,052.08 cubic inches.

The volume of the half-sphere =  \frac{3,052.08}{2} = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

5 0
3 years ago
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