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3 years ago

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Each edge of a wooden cube is 5 centimeters long. The cube has a density of 0.65 g/cm3 . What is the mass of the wooden cube? En

ter your answer in the box.

1 answer:

Orlov [11]3 years ago

4 0

Answer: 81.25

Step-by-step explanation:

5cm=125 cm^3*0.65g/cm^3=81.25 g, It’s correct I took the quiz

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Justin recently drove to visit his parents who live 96 miles away. On his way there his average speed was 20 miles per hour fast

never [62]

Answer:

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

Step-by-step explanation:

Let the average speed be x +20

Then average speed from his parents' x

And the distance is S=96

Then we know :

$\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing$

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

4 0

3 years ago

The length of a rectangular is 5 centimeters less then it width. The perimeter of the rectangle is 26

Zina [86]

Hi there! :)

<u>Answer:</u>

Length = 4 cm

Width = 9 cm

Step-by-step explanation:

Here's the information we know:

- Perimeter = 26 cm

- Width = x (I just replaced the width by "x" because it's what we are looking for)

- Length = x - 5

Now before we can do anything, you need to know what the formula for the perimeter of a rectangular is:<u> P = (2 × Length) + (2 × Width)</u>

Replace all the information you know in the formula and solve the equation by isolating "x":

P = (2 × Length) + (2 × Width)

26 = ( 2 × (x - 5)) + (<u>2 × x</u>)

Multiply "2" and "x" together → 2 × x = <u>2x</u>

26 = ( <u>2</u>(x - 5)) + 2x

Distribute the "2" to the entire parentheses → 2 × x = <u>2x</u> & 2 × -5 = <u>-10</u>

26 = <u>2x</u> - 10 + <u>2x</u>

Add similar terms together → 2x + 2x = <u>4x</u>

26 = 4x <u>- 10</u>

Add 10 to each side of the equation → 26 + 10 = <u>36</u>

36 = <u>4</u>x

Divide each side of the equation by 4 → 36 ÷ 4 = <u>9</u>

<u>9 = x ⇒ Measure of the width</u>

Since the lenght is 5 centimeter less than the measure of the width, in order to find the measure of the length you'll need to subtract "5" from the measure of the width, which is "9":

9 - 5 = Length rectangle

9 - 5 = <u>4 ⇒ Length rectangle</u>

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

4 years ago

Classify this by degree and by number of terms?

sveta [45]

The answer is quintic binomial.

It is quintic because its highest power is 5. Quartic would mean its highest power is 4.

It is a binomial because the two terms are -4x^5 and -6x^3. Terms are separated by + or - signs.

3 0

3 years ago

notsponge [240]

A line <u>bisector</u> is a <em>straight </em>line that <u>divides</u> a given line into two equal parts. Thus the following steps are required by Naomi to show that point D is <em>equidistant</em> from points A and C.

BD ⊥ AC (given)

BD = 3 units, and AC = 8 units.

BD is the <em>perpendicular</em> bisector of <u>segment</u> AC (given)

Thus,

<BDA ≅ <BDC <em>(right</em> angles formed by a <u>perpendicular</u> bisector)

AD ≅ DC <em>(equal</em> parts of a<em> bisected l</em>ine)

AD ≅ DC = 4 units

Thus joining <u>points</u> B to A, and B to C,

BA ≅ BC.

So that applying <em>Pythagoras</em> theorem to ΔABD, we have:

$/hyp/^{2}$ = $Adj 1^{2}$ + $Adj 2^{2}$

$AB^{2}$ = $3^{2}$ + $4^{2}$

= $\sqrt{25}$

AB = 5 units

So that,

BA ≅ BC = 5 units

Therefore, it can be <u>concluded</u> that point D is <em>equidistant</em> from points A and C.

For more clarifications on a perpendicular bisector of a line, visit: brainly.com/question/929137

#SPJ1

3 0

2 years ago

Evaluate the expression when a=6 and b = 50.<br> b-4a

denis23 [38]

Answer:

26

Step-by-step explanation:

sub it it

50-(4×6)

50-24

3 0

3 years ago

Read 2 more answers