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2 years ago

Scale down 12/720 = 4/X

Mathematics

2 answers:

elena55 [62]2 years ago

8 0

Answer:

x = 240

Step-by-step explanation:

solve for x by cross multiplying

melamori03 [73]2 years ago

8 0

Answer: X=240
Explanation:
12 divided by 3 equals 4,
Then 720=240/X

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A social media website had 350,000 followers in 2010. The number y of followers

Zolol [24]

Answer:

a) $y(t) = 350(1.02)^t$

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

$y = y(0)(1+r)^t$

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: $y(0) = 350, r = 0.02$

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

$y(t) = 350(1 + 0.02)^t$

$y(t) = 350(1.02)^t$

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

$y(6) = 350(1.02)^6 = 394.2$

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

5 0

3 years ago

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

2 years ago

A quantity with an initial value of 600 decays exponentially at a rate of

Snowcat [4.5K]

Answer:

The value of the quantity after 87 months will be of 599.64.

Step-by-step explanation:

A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

This means that the quantity, after t periods of 6 years, is given by:

$Q(t) = 600(1 - 0.0005)^{t}$

What is the value of the quantity after 87 months, to the nearest hundredth?

6 years = 6*12 = 72 months

So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).

$Q(t) = 600(1 - 0.0005)^{t}$

$Q(1.2083) = 600(1 - 0.0005)^{1.2083} = 599.64$

The value of the quantity after 87 months will be of 599.64.

8 0

3 years ago

Compute the value of the discriminant and give the number of real solutions of the quadratic equation.

Sergio039 [100]

$-2x^2+6x-3=0 \\ \\
a=-2 \\ b=6 \\ c=-3 \\ \Delta=b^2-4ac=6^2-4 \times (-2) \times (-3)=36-24=12$

The value of the discriminant is 12.
Since the discriminant is greater than zero, the equation has two real solutions.

4 0

2 years ago

Formula for face diagonal?

Makovka662 [10]

Answer:

Face diagonal of a cube:

Step-by-step explanation:

f2 = a2 + a. Then f2 = 2a.

8 0

3 years ago

Read 2 more answers