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3 years ago

The base of a parallelogram with the area (A) of 72 square inches and height (H) of 6 inches.

Mathematics

1 answer:

Elza [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Let's make a simple equation! It's much, much simpler than you think. Let's look closely.

<h3>Area = Base x Height</h3>

We already know the area, so we can substitute this already.

<h3>72 = Base x Height</h3>

We also know the height, 6.

We can now replace "base" as x to make it simpler to solve the equation we made!

<h3>6x = 72</h3><h3>x = 12</h3><h3 /><h2>The base of the parallelogram is 12 inches.</h2>

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For every 4 minutes he runs, he walks for 5 minutes. Yesterday he walked for 35 minutes. How many minutes did he run?

Dominik [7]

35/5=7*4=28
he ran for 28 minutes

5 0

3 years ago

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 hours, while the outlet pipe can empty it

Rashid [163]

Answer:

$time=40/3hours\approx 13.3hours$

Step-by-step explanation:

The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

<u>1. Inlet rate:</u>

$1vat/5hours$

<u />

<u>2. Outlet rate:</u>

$1vat/8hours$

$\text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour$

$rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)$

$time=40/3hours\approx 13.3hours$

7 0

3 years ago

What is 50h+150/25 ?

Alla [95]

Answer:

50h+6

Step-by-step explanation:

50h+ (150/25) <--- Divide/ simplify

=50h+6

6 0

2 years ago

Find the value of x and y

Natalija [7]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>What does the information want:</u>

value of x
value of y

<u>Let's gather some information</u>:

ΔA'BC' and ΔABC are similar triangles

⇒ Angle B is shared by both triangles

⇒ Angle A' and A are the same, as they are both on parallel

lines, A'C' and AC, and both angles are formed with the

same line AB

⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles

<u>If they are similar triangles</u>:

⇒ their side lengths are proportional to each other

let's find x's value

⇒ let's set up a proportion

$\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143$

let's find y's value

⇒ let's set up a proportion

$\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25$

<u>Answer:</u>

<u>x= 17.143</u>
<u>y = 26.25</u>

Hope that helps!

#LearnwithBrainly

5 0

1 year ago

PLEASE HELP! find the inverse matrix

Sauron [17]

Answer:

see explanation

Step-by-step explanation:

The inverse of a matrix A = $\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]$ is

$A^{-1}$ = $\frac{1}{ad-bc}$ $\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]$

If ad - bc = 0 then the matrix has no inverse

A = $\left[\begin{array}{ccc}11&-5\\3&-1\\\end{array}\right]$

ad - bc = (11 × - 1) - (- 5 × 3) = - 11 - (- 15) = - 11 + 15 = 4 , then

$A^{-1}$ = $\frac{1}{4}$ $\left[\begin{array}{ccc}-1&3\\-5&11\\\end{array}\right]$ = $\left[\begin{array}{ccc}-0.25&0.75\\-1.25&2.75\\\end{array}\right]$

3 0

3 years ago

Read 2 more answers