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Likurg_2 [28]
3 years ago
13

The vertices of rhombus DEFG are D(1,4), E(4,0), F(1,-4), and G(-2,0).

Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

Answer: 20 units

Step-by-step explanation:

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heights for 16 year old boys are normally distributed with a mean if 68.3 in and a standard deviation of 2.9 in. find the z-scor
allsm [11]
Simple just decide pie by the universe multiplied bye the square rout of a f1 race car most likely leading too yes
6 0
2 years ago
The inside of tank is in the shape of a right rectangular prism. The base of the prism is 85 cm by 64 cm. What is the minimum he
Allisa [31]

Answer:

16.9 cm

Step-by-step explanation:

The volume of a prism = Area of base × height

For a rectangular prism, the base of the area = length × breadth

The volume of the liquid = 92 L

Since 1 L = 1000 cm³, 92 L = 92000 cm³

92000 = 85 × 64 × h

5440 h = 92000

h = 92000 ÷ 5440 = 16.9 cm

8 0
2 years ago
A clock has a diameter of 16 cm. How long is the metal band around it?
kramer

Answer:

The length of  metal band around the given clock  is 50. 24 cm.

Step-by-step explanation:

Here, the diameter of given clock = 16 cm

Now, Diameter = 2 x Radius

So,  Radius  = D/2  = 16 cm/2  = 8 cm

⇒The radius of the clock = 8 cm

Now, The metal Band around it = The CIRCUMFERENCE of the watch

Circumference of the clock  = 2 π r

=  2 x ( 3.14) x ( 8)  = 50.24 cm

or, C = 50.24 cm

Hence, the length of  metal band around the given clock  is 50. 24 cm.

6 0
2 years ago
(60 points)
natka813 [3]

Answer:

<h2>2. D. 64</h2><h2>5. B. 1, -3/2</h2><h2>6. C. 0, 2</h2>

Step-by-step explanation:

2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56

5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}

6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}

8 0
3 years ago
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a
Gala2k [10]

Answer:

2 meters.

Step-by-step explanation:

We know that a cube of sidelength L has a volume:

V = L^3

Here, we know that the volume of water that the cube can hold is:

(1000/125) m^3

Then the volume of our cube is exactly that:

V = (1000/125) m^3

Then we have the equation:

L^3 = (1000/125) m^3

Which we can solve for L

L = ∛((1000/125) m^3 ) = (∛1000/∛125) m

Where we used that:

∛(a/b) = ∛a/∛b

Solving the cubic roots, we get:

L = (10/5) m = 2m

The length of the side of the water tank is 2 meters.

4 0
2 years ago
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