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Levart [38]
3 years ago
5

6. Find the distance between (-4, 5) and (7, 18). O 15.96 16.08 O 16.23 O 17.03

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

<em>Greetings from Brasil... </em>

The expression that allows you to calculate the distance between two points is:

<h2>d(A; B) = √[(Xb - Xa)² + (Yb - Ya)²]</h2>

d(A; B) = √[(7 - (- 4))² + (18 - 5)²]

d(A; B) = √[(7 + 4)² + 13²]

d(A; B) = √[11² + 13²]

d(A; B) = √[121 + 169]

d(A; B) = √290

<h2>d(A; B) ≈ 17.03</h2>

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The diameter of a circle is 6 centimeters. What is the circle's area?<br><br> Use 3.14 for pi
Lynna [10]

Step-by-step explanation:

diameter=

2 \times\pi \times r = 6 \\ r =  \frac{6}{2 \times 3.14}  = 0.955 \\ area = \pi \times  {r}^{2}  = 3.14 \times  {0.955}^{2}  \\  =  2.87\:  {cm}^{2}

7 0
3 years ago
Read 2 more answers
I need help with number 2 please.
Vedmedyk [2.9K]
The answer is 73.33333333 (repeated). You can also write it as 73 or 73.3 with a line over the 3 (after the decimal point) to indicate it being repeated.
8 0
3 years ago
The school marching band has a budget of up to $750 to cover 15 new uniforms and
PolarNik [594]

a. The inequality 15x+300≤750 represents the situation.

b. It means that the band can spend at most $30 on each uniform without exceeding the budget.

Step-by-step explanation:

Given,

Budget = $750

Competition fee = $300

Uniforms to make = 15

Let,

x be the amount for each uniform.

a.  Write an inequality to represent this situation.

Uniforms to make * Cost per uniform + Competition ≤ Budget

15x+300 ≤ 750

The inequality 15x+300≤750 represents the situation.

b.  Solve the inequality and describe what it means in the situation.

15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450

Dividing both sides by 15

\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30

It means that the band can spend at most $30 on each uniform without exceeding the budget.

Keywords: inequality, division

Learn more about inequality at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

3 0
3 years ago
A shop sells packs of black pens, packs of red pens and packs of green pens.
olchik [2.2K]

Answer:

85 pens  

Step-by-step explanation:

The computation of the number of green pens sold is shown below;

As the number of black pens, red pens, and green pans is 3:5:6

And, the ratio of sold of black pens, red pens, and green pans is 7:3:4

So, the ratio of pens in a number of pens is

= 3 × 7 : 5 × 3 : 4 × 6

= 21: 15 : 24

= 7: 5 : 8

And, the total of 212 pens are sold

So, the number of green pens sold is

= 8 × 212 ÷ (7 + 5 + 8)

= 85 pens  

4 0
3 years ago
Wanda opened a savings account 20 years ago with a deposit of $3,150.37. The account has an interest rate of 4.1% compounded dai
Aleksandr [31]
\bf ~~~~~~ \stackrel{daily}{\textit{Continuously Compounding Interest Earned Amount}}\\\\&#10;A=Pe^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to& \$3150.37\\&#10;r=rate\to 4.1\%\to \frac{4.1}{100}\to &0.041\\&#10;t=years\to &20&#10;\end{cases}&#10;\\\\\\&#10;A=3150.37e^{0.041\cdot 20}\implies A=3150.37e^{0.82}\implies A\approx 7152.91457

how much interest is there?  well, A - 3150.37.
3 0
3 years ago
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