I took a picture of 2 problems I need help with can someone help me please

Mark wants to paint a mural he has one and 1/3 gallons of yellow paint 1 1/4 gallon of green paint and 7/8 gallons of blue paint

viktelen [127]

Yellow Paint: 7/12 gallon paint

Green Paint: 1/2 gallon paint

Blue Paint: 1/8 gallon paint

Mark brainliest if they are correct.

3 0

3 years ago

Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

olchik [2.2K]

If $x$ is the first number in the progression, and $r$ is the common ratio between consecutive terms, then the first four terms in the progression are

$\{x,xr,xr^2,xr^3\}$

We want to have

$\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}$

In the second equation, we have

$xr^3-xr=xr(r^2-1)=36$

and in the first, we have

$xr^2-x=x(r^2-1)=12$

Substituting this into the second equation, we find

$xr(r^2-1)=12r=36\implies r=3$

So now we have

$\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32$

Then the four numbers are

$\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}$

4 0

3 years ago

Find surface area of this regular pyramid

liq [111]

Answer:

189 ft²

Step-by-step explanation:

Here is the formula...

1/2 * 6 * 36 + 81

Hope this helps

7 0

2 years ago

Find the length of CD shown in red below. Show all work.

PIT_PIT [208]

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>How to calculate the length of an arc</h3>

The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the <em>central</em> angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.

If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:

s = [(360π/180) - (52π/180)] · (6 in)

s ≈ 32.254 in

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>Remark</h3>

The statement has typing mistakes, correct form is shown below:

<em>Find the length of the arc EF shown in red below. Show all the work.</em>

To learn more on arcs: brainly.com/question/16765779

#SPJ1

4 0

1 year ago

Write two different equations to describe each situation. a) You buy 3 identical shirts and 2 identical pairs of socks and spend

Ronch [10]

Answer:

3x + 2y = 38, 3a + 2b = 38

Step-by-step explanation:

An equation may be defined as a statement that shows two mathematical expressions to be equal. It is to equate one thing to another thing.

In the context, two different equations for the situations are :

i). Let the shirt be represented by x

And the socks be represented by y

Therefore, according to the question,

3x + 2y = 38

ii). Let the shirt be represented by a

And the socks be represented by b

Therefore, according to the question,

3a + 2b = 38

7 0

3 years ago