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2 years ago

Nicholas rode his bike three times as far as

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

3 0

Nicholas rode 48 miles . You are supposed to multiply 16x3

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The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.

inessss [21]

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

7 0

3 years ago

Ben has $100 to go shopping. Does he have enough money to buy a $20 and a $72 pair of shoes if there is an 8.5% tax

Juli2301 [7.4K]

So, we first add the 20 and 72 together and you will get 92.

What I like to do next is usually 92/100x8.5. The tax would be then 7.82

92 + 7.82 = 99.82 < 100

The answer is yes.

7 0

3 years ago

Norton read 4 books during his vacation. the first book had 326 pages, the second had 288 pages,the third had 349 pages and the

Murrr4er [49]

The four books had an average of 341 pages

Step-by-step explanation:

Given

Total number of books = 4

Pages in first book = x1 = 326

Pages in second book = x2 = 288

Pages in third book = x3 = 349

Pages in fourth book = 401

The average is given by:

$Average=\frac{Sum\ of\ pages}{number\ of\ books}\\=\frac{x_1+x_2+x_3+x_4}{4}\\=\frac{326+288+349+401}{4}\\=\frac{1364}{4}\\=341$

The four books had an average of 341 pages

Keywords: Average, Division

Learn more about average at:

#LearnwithBrainly

8 0

3 years ago

ABC is an equilateral triangle .Three distinct points are marked on each sides of the triangle. (not on the vertices). (i) How m

iVinArrow [24]

The number of lines and triangles illustrates combination

36 lines can be drawn to join the nine points
84 triangles can be drawn using the nine points

<h3>The number of lines that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each line, r = 2

The number of lines that can be drawn is then calculated using the following combination formula

Lines = nCr

This gives

Lines = 9C2

Evaluate the combination expression

Lines = 36

Hence, 36 lines can be drawn to join the nine points

<h3>The number of triangles that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each triangle, r = 3

The number of triangles that can be drawn is then calculated using the following combination formula

Triangles = nCr

This gives

Triangles = 9C3

Evaluate the combination expression

Triangles = 84

Hence, 84 triangles can be drawn using the nine points