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4 years ago

3 1/2 + 2 5/6 show me the work please

Mathematics

1 answer:

Zolol [24]4 years ago

8 0

3 1/4 + 2 1/3
= 6712
= 5712≅ 5.583333
this example do it using this example

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Round your answer to one decimal digit. The volume of a cylinder is 1 800 cm3. If the height of the cylinder is 40 cm then the d

Lunna [17]

Answer:

7.57 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

r= radius

h = height

1,800 = 3.14 x r² x 40

r² = 1800 /(3.14 x 40)

r² = 14.33121

√14.33121 = r

r = 3.785658 cm

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Diameter = 2 x 3.785658 cm = 7.57cm

6 0

3 years ago

Hannah notices that segment HI and segment KL are congruent in the image below: Two triangles are shown, GHI and JKL. G is at ne

BlackZzzverrR [31]

Answer:

segment IG ≅ segment LJ

Step-by-step explanation:

Please refer to the attached image as per the triangles as given in the question statement.

$\triangle HGI, \triangle JKL$

$G\left(-3,1\right),\ H\left(-1,1\right),\ I\left(-2,3\right)$

$J\left(3,3\right),K\left(1,3\right),L\left(2,1\right)$

Given that:

$HI\cong KL$ and

$\angle I \cong \angle L$

<em>SAS congruence </em>between two triangles states that two triangles are congruent if two corresponding sides and the angle between the two sides are congruent.

We are given that one angle and one sides are congruent in the given triangles.

We need to prove that other sides that makes this angle are also congruent.

To show the triangles are congruent i.e. $\triangle GHI \cong \triangle JKL$ by SAS congruence we need to prove that

segment IG ≅ segment LJ

Let us use Distance formula to find IG and LJ:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$IG =\sqrt{(-2+3)^2+(3-1)^2} =\sqrt5\ units$

$LJ =\sqrt{(2-3)^2+(1-3)^2} =\sqrt5\ units$

Hence, segment IG ≅ segment LJ

$\therefore$ ΔGHI ≅ ΔJKL by SAS

4 0

3 years ago

A shopkeeper calculates that the tax on a pair of sunglasses is $2.185. What is the tax rounded to the nearest penny

irina [24]

The tax rounded to the nearest penny would be $2.19 because you would round the 5 up.

3 0

3 years ago

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Marina86 [1]

Answer:

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3 years ago

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Vera_Pavlovna [14]

Answer:

The answer to this problem is True.

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3 years ago