Ask question

Ask question

All categories

2 years ago

14

What figure can be made using the net shown?

1 answer:

andrew-mc [135]2 years ago

5 0

Answer:

Hi, there it is rectangular pyramid

Step-by-step explanation:

You might be interested in

Find the area of the following figure.<br><br> 14.0 cm2<br> 10.5 cm2<br> 28.1cm2<br> 17.6 cm2

Levart [38]

First option: 14.0 cm^2

Area of semicircle + area of triangle
1/2(pi)(r^2) + 1/2(b)(h)
1/2(3.14)(1.5^2) + 1/2(3)(7)
3.53+ 10.5
14.03 cm^2

7 0

2 years ago

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?

Alex

Answer:

$\huge\boxed{18,475}$

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

$S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}$

We have

$a_1=2\\d=17-2=32-12=47-32=15\\n=50$

Substitute:

$S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475$

3 0

2 years ago

In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?

sdas [7]

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

$E = 18375, t = 10, I = 0.0525$

We want to find P. So

$E = P*I*t$

$18375 = P*0.0525*10$

$0.525P = 18375$

$P = \frac{18375}{0.525}$

$P = 35000$

The principal amont was $35,000

5 0

2 years ago

17x-3y=4 2x-4y=1 the solution to the system of equations is

Burka [1]

ANSWER

$x=\frac{13}{62}$

and

$y= \frac{-9}{62}$ e have

EXPLANATION

$17x-3y=4---(1)$

$2x-4y=1$

Let us make y the subject and call it equation (2)

$2x=1+4y$

$x=\frac{1}{2}+2y--(2)$

We put equation (2) in to equation (1)

$17(\frac{1}{2}+2y)-3y=4$

$\frac{17}{2}+34y-3y=4$

$34y-3y=4- \frac{17}{2}$

Simplify to get,

$31y= \frac{8-17}{2}$

$31y= \frac{-9}{2}$

Divide both sides by 31,

$y= \frac{-9}{2} \div 31$

$y= \frac{-9}{2} \times \frac{1}{31}$

$y= \frac{-9}{62}$

We put this value in to equation (2) to get,

$x=\frac{1}{2}+2\times -\frac{9}{62}$

$x=\frac{1}{2} -\frac{18}{62}$

We collect LCM to obtain,

$x=\frac{31-18}{62}$

$x=\frac{13}{62}$

7 0

2 years ago

What is the value of x?

alexgriva [62]

Answer:

The value of x is 26 degrees

Step-by-step explanation:

1: 1/4 of a circle (360 degrees) is 90 degrees.

2 90 - 64 = 26

3 0

3 years ago