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3 years ago

Round up to the nearest hundredth

Mathematics

1 answer:

Shalnov [3]3 years ago

5 0

$x^2+3x-5=0\\\\a=1;\ b=3;\ c=-5\\\\b^2-4ac=3^2-4\cdot1\cdot(-5)=9+20=29\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_1=\dfrac{-3-\sqrt{29}}{2\cdot1}=\dfrac{-3-\sqrt{29}}{2}\approx-4.19\\\\x_2=\dfrac{-3+\sqrt{29}}{2\cdot1}=\dfrac{-3+\sqrt{29}}{2}\approx1.19$

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Simplify (7/9a+9/7b)^2-ab

lianna [129]

Ab+49/81a^2+81/49b^2

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2 years ago

The area of the square is 100 square centimeters. What is the area of the circle?

swat32

Answer:

Since the question is incomplete, see the figure attached and the explanation below.

Explanation:

Since the figure is missing, I enclose the figure of a square inscribed in a circle.

Since the <em>area of a square</em> is the side length squared, you can determine the side length:

Area = (side length)²

100 cm² = (side lenght)²

$side\text{ }length=\sqrt{100cm^2}=10cm$

From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:

diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²

$diagonal=\sqrt{2\times (10cm)^2}\\ \\ diagonal=10\sqrt{2} cm$

The area of the circle is π (radius)².

radius = diameter/2 = diagonal/2

$area= \pi \times (5\sqrt{2}cm)^2=50\pi cm^2$

6 0

2 years ago

A train leaves thorn junction at 1:25 p.m. and arrives in niles at 3:05 p.m. the train makes two stops along the route for a tot

KonstantinChe [14]

The time taken by the first and the second train is 1 hour 40 minutes and 1 hour 25 minutes. Then the time when the second train at Niles junction is 5:55 p.m.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

$\rm Speed = \dfrac{Distance}{Time}$

A train leaves Thorn junction at 1:25 p.m. and arrives in Niles at 3:05 p.m. the train makes two stops along the route for a total of 15 minutes.

A second train leaves Thorn junction at 4:30 p.m. and heads to Niles.

This train does not make any stops.

Let the speed of both trains be equal.

Then the time taken by the first train will be

t₁ = 3:05 p.m. - 1:25 p.m.

t₁ = 1 hour 40 minutes

Then the time taken by the second train will be

t₂ = 1:40 - 00:15

t₂ = 1:25 = 1 hour 25 minutes

The time when the second train is at Niles junction will be

→ 4:30 p.m. + 1:25

→ 5:55 p.m.

More about the speed link is given below.

brainly.com/question/7359669

#SPJ1

3 0

2 years ago

The angles is 1/12 of the circle. how many degress

Sergio [31]

30 degrees of the circle which is an acute angle.

4 0

2 years ago

Use the Hinge Theorem to compare the measures of AD and BD.<br><br> I need help now!!! Please!!!!

gavmur [86]

Answer:

The length AD is greater than length BD.

Step-by-step explanation:

Hinge theorem states that if two triangles have two congruent sides then the triangle with the larger angle between those sides will have longer third side

In ΔACD and ΔBCD

$AC = BC\\\angle ACD = 70 \angle BCD = 68$

So side opposite to greater angle is greater side

Therefore, length AD is greater than length BD.

3 0

2 years ago