All categories

2 years ago

Write the scale as a ratio. a 2-foot-long model of an 12-foot-long room

Mathematics

2 answers:

Eva8 [605]2 years ago

7 0

1:6
You reduce the scale like a fraction

shtirl [24]2 years ago

5 0

For every 2 feet long, the room must be 12 feet wide

so the ratio is 2:12 = 1:6

You might be interested in

If a- 2b +3c =0 prove that a³ -8b³+ 27c²= - 18abc

inna [77]

Step-by-step explanation:

the answer is in the photo as attached

4 0

2 years ago

Read 2 more answers

What values of c and d make the equation true?

saul85 [17]

Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

$(a^m)^n=a^{mn$

$\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d$

According to the Product of powers property:

$(a^m)(a^n)=a^{(m+n)$

Then. simplifying you get:

$162x^cy^5=162x^6y^{(3+d)}$

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:

$c=6$

You can notice that the exponent of "y" on the left side is 5, then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

$3+d=5\\d=5-3\\d=2$

4 0

2 years ago

In order to determine the slant height of several pyramids, Marjorie used the surface area formula, s= 1/2 pl+b for the slant he

m_a_m_a [10]

Answer:

$l=\dfrac{2(S-b)}{P}$

Step-by-step explanation:

The surface area formula for pyramids is given by :

$S=\dfrac{1}{2}Pl+b$ ...(1)

We need to arrange the formula for l.

Take b to LHS,

$S-b=\dfrac{1}{2}Pl\\\\2(S-b)=Pl\ [\text{cross-multiplying}]\\\\l=\dfrac{2(S-b)}{P}$

So, the expression is $\dfrac{2(S-b)}{P}$ for the slant height.

7 0

2 years ago

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Artist 52 [7]

Answer:

This system of equations has infinite points of intersection

Step-by-step explanation:

* To know the point of intersection of the system of equations,

you will solve the graphically or algebraically

- Graphically by drawing two lines on the coordinate plane

- Algebraically by substitution method or elimination method

* Lets use the substitution method

∵ y = 4 - x

∵ 2y = 8 - 2x

- Substitute y in the second equation by its value in the

first equation

∴ 2(4 - x) = 8 - 2x ⇒ open the bracket

∴ 8 - 2x = 8 - 2x

* The two sides equal each other, that means we can use any

vales of x, and on the graph they will be the same line for

the two equations

∴ This system of equations has infinite points of intersection

3 0

2 years ago

Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5

algol [13]

Remember
(x^m)(x^n)=x^(m+n)
and
if a^m=a^n, where a=a then n=m

(x^4)(x^n)=x^5
(x^4)(x^n)=x^(4+n)
x^(4+n)=x^5
therefor
4+n=5
minus 4
n=1

5 0

2 years ago

Read 2 more answers