All categories

3 years ago

A 12-toot wall measures 2.5 inches on a

Mathematics

1 answer:

Blizzard [7]3 years ago

4 0

Answer:

actual length of the second wall is 43.2 ft

Step-by-step explanation:

Let x be the actual length of the second wall

Write measurements in ratios with feet to inches:

First wall: 12 : 2.5 = 12/2.5

Second wall: x : 9 = x/9

Equate the two fractions and solve for x:

12/2.5 = x/9

Multiply both sides by 9: 43.2 = x

Therefore, the actual length of the second wall is 43.2 ft

You might be interested in

If 0 lies in the quadrant IV. What can be the value of cos 0?

Andru [333]

Answer:

Positive one

Step-by-step explanation:

The angle 0 does not lie in any of the four quadrants, it lands directly in between quadrants I and IV. The value of cos 0 is always 1.

4 0

3 years ago

Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati

Assoli18 [71]

Answer:

$\vec l = (-4, 11) + t\cdot (-3,8)$ , $x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

Step-by-step explanation:

The vector equation of the line is:

$\vec l = \vec P + t \cdot \vec A$

$\vec l = (-4, 11) + t\cdot (-3,8)$

The parametric equations of the line are:

$x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

4 0

3 years ago

billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet. what is the area, in s

xxTIMURxx [149]

Area=πr^2

find the area then divide by 8

we know that diameter=2radius or diameter/2=radius so
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet

5 0

3 years ago

An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different

Bas_tet [7]

Answer:

360 combinations

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

6 * 5 * 4 * 3 = 360

1st flavor 2nd flavor topping cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible

6 0

3 years ago

I need help with this practice problem solving This is trigonometry from my ACT prep guide

Novay_Z [31]

Take into account, that in general, a cosine function of amplitude A, period T and vertical translation b, can be written as follow:

$f(x)=A\cos (\frac{2\pi}{T}x)+b$

In the given case, you have:

A = 4

T = 3π/4

b = -3

By replacing you obtain:

$\begin{gathered} f(x)=4\cos (\frac{2\pi}{\frac{3\pi}{4}}x)-3 \\ f(x)=4\cos (\frac{8}{3}x)-3 \end{gathered}$

Hence, the answer is:

f(x) = 4cos(8/3 x) - 3

6 0

1 year ago