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4 years ago

Express in simplest form 2 5/6 - 1 3/10

Mathematics

1 answer:

REY [17]4 years ago

3 0

Answer:

exact form: 23/15

decimal form: 1.5333333333 (infinitely or add a little line on top of the 3)

mixed number form: 1 8/15

Step-by-step explanation:

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The population of a city is 1,503,049. The land area of the city is 181.5 km².

Tresset [83]

1.) 8,281 people/km²
2.)
3.) 1226.88 grams
4.) 999.74 grams
5.) 6

I am not sure about number 2.

5 0

4 years ago

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Consider points A(1,0, −5) and B(2, −3,6).

Bumek [7]

Answer: a) $\hat{i}-3\hat{j}+11\hat{k}$ b)√131.

Step-by-step explanation:

Since we have given that

A(1,0,-5), is rewritten in vector form is given by

$1\hat{i}-5\hat{k}$

B(5,-3,6) is rewritten in vector form is given by

$2\hat{i}-3\hat{j}+6\hat{k}$

a. What is the component form of AB?

So, it becomes,

$\vec{AB}=(2-1)\hat{i}+(-3-0)\hat{j}+(6+5)\hat{k}\\\\\vec{AB}=\hat{i}-3\hat{j}+11\hat{k}$

b. What is the magnitude of AB?

$\mid AB\mid=\sqrt{1^2+(-3)^2+11^2}\\\\\mid AB\mid=\sqrt{1+9+121}\\\\\mid AB\mid=\sqrt{131}$

Hence, a) $\hat{i}-3\hat{j}+11\hat{k}$ b)√131.

4 0

3 years ago

Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.

Law Incorporation [45]

The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

<h3>How to determine the lateral area?</h3>

The given parameters are:

Base length (b) = 6
Slant height (l) = 13

The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

This gives

Lateral = 0.5 * (3 * 6) * 13

Evaluate

Lateral = 117

Hence, the lateral area is 117 square centimeters

<h3>How to determine the surface area?</h3>

The surface area is calculated using:

Surface = l²√3

This gives

Surface = 13² * √3

Evaluate

Surface = 292.72

Hence, the surface area is 292.72 square centimeters

Read more about areas at:

brainly.com/question/24487155

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2 years ago

Complete the table of values for y=2x squared + x

Lapatulllka [165]

Answer:

y=2x^2 + 2x - 3 x -2 -1 0 1 2

Step By Step Explanation:

The values can be find by plugging the x values in the equation which gives us the y value ,

x -2 -1 0 1 2

y 1 -3 -3 1 9

(b) Plot the points on the graph and join by a smooth curve.

(d) solve 2x^2 + 2x - 3 = 1

Subtract 1 from both the sides ,

2x^2 + 2x - 2 = 0

Factoring out the 2 from the equation ,

2(x^2 + x - 1) = 0

x^2 + x - 1 = 0

Apply the quadratic formula

x=(-1-sqrt(5))/2 and x = (-1+sqrt(5))/5

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3 years ago

What is 2*2 please answer this question

vampirchik [111]

Answer:

Step-by-step explanation:

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3 years ago

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