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2 years ago

A truck that is 10 ft. by 15 ft. by 8 ft. and carries

Mathematics

1 answer:

Crank2 years ago

5 0

Answer: 56 boxes

Step-by-step explanation: each box is worth 7.5 cubic feet, and if the space is 65% full, the remainder of space, being 420 cubic feet, can hold 56 boxes

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a triangle has side lengths of (2.9n-7.8p)(2.9n−7.8p) centimeters, (6.6n-6.4q)(6.6n−6.4q) centimeters, and (2.9q-3.8p)(2.9q−3.8p

krok68 [10]

The perimeter of the triangle is: (9.5n - 11.6p - 3.5q) cm.

<h3>What is the Perimeter of a Triangle?</h3>

The total length of all the sides of a triangle is equal to the perimeter of the triangle.

Given a triangle has the following lengths:

(2.9n-7.8p) centimeters,
(6.6n-6.4q) centimeters,
(2.9q-3.8p) centimeters.

The perimeter of the triangle = (2.9n-7.8p) + (6.6n-6.4q) + (2.9q-3.8p)

The perimeter of the triangle = 2.9n - 7.8p + 6.6n - 6.4q + 2.9q - 3.8p

Combine like terms together

The perimeter of the triangle = 2.9n + 6.6n - 7.8p - 3.8p - 6.4q + 2.9q

The perimeter of the triangle = 9.5n - 11.6p - 3.5q

Thus, the perimeter of the triangle is: (9.5n - 11.6p - 3.5q) cm.

Learn more about the perimeter of the triangle on:

brainly.com/question/24382052

#SPJ1

4 0

2 years ago

1000 randomly selected Americans were asked if they believed the minimum

Tamiku [17]

Answer:i dont now

Step-by-step explanation:

7 0

2 years ago

I need help with this<br>

zzz [600]

Answer:

Yes because 5^2 + 12^2 = 13^2

Step-by-step explanation:

We can check using the Pythagorean theorem

a^2 + b^2 = c^2

5^2 + 12^2 = 13^2

25+ 144= 169

169 = 169

5 0

3 years ago

Read 2 more answers

find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0

Citrus2011 [14]

Answer:

Radius: $r =\frac{\sqrt {21}}{6}$

$Center = (-\frac{3}{2}, -\frac{2}{3})$

Step-by-step explanation:

Given

$9x^2 + 9y^2 + 27x + 12y + 19 = 0$

Solving (a): The radius of the circle

First, we express the equation as:

$(x - h)^2 + (y - k)^2 = r^2$

Where

$r = radius$

$(h,k) =center$

So, we have:

$9x^2 + 9y^2 + 27x + 12y + 19 = 0$

Divide through by 9

$x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0$

Rewrite as:

$x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}$

Group the expression into 2

$[x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}$

$[x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}$

Next, we complete the square on each group.

For $[x^2 + 3x]$

1: Divide the $coefficient\ of\ x\ by\ 2$

2: Take the $square\ of\ the\ division$

3: Add this $square\ to\ both\ sides\ of\ the\ equation.$

So, we have:

$[x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}$

$[x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2$

Factorize

$[x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2$

Apply the same to y

$[x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2$

$[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2$

$[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}$

Add the fractions

$[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}$

$[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}$

$[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}$

$[x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}$

Recall that:

$(x - h)^2 + (y - k)^2 = r^2$

By comparison:

$r^2 =\frac{7}{12}$

Take square roots of both sides

$r =\sqrt{\frac{7}{12}}$

Split

$r =\frac{\sqrt 7}{\sqrt 12}$

Rationalize

$r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}$

$r =\frac{\sqrt {84}}{12}$

$r =\frac{\sqrt {4*21}}{12}$

$r =\frac{2\sqrt {21}}{12}$

$r =\frac{\sqrt {21}}{6}$

Solving (b): The center

Recall that:

$(x - h)^2 + (y - k)^2 = r^2$

Where

$r = radius$

$(h,k) =center$

From:

$[x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}$

$-h = \frac{3}{2}$ and $-k = \frac{2}{3}$

Solve for h and k

$h = -\frac{3}{2}$ and $k = -\frac{2}{3}$

Hence, the center is:

$Center = (-\frac{3}{2}, -\frac{2}{3})$

6 0

2 years ago

The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance

Licemer1 [7]

Answer:

6.6h

Step-by-step explanation:

So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 miles
Use this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed
330 miles divide by 50 miles per hour gives 6.6 hours

5 0

2 years ago