All categories

3 years ago

The diagram below shows rectangle RSTU with two diagonals drawn.

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

5 0

Answer: The angles at each vertex of the rectangle are right angles

Step-by-step explanation:

You might be interested in

Write an equation of the line that passes through the point (2, 3) and is perpendicular to the line x = -1.

Sedbober [7]

Answer:

B)Y=3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What ratio would you use to determine how many seconds are in a minute?

meriva

60:1

I think anyway, I just know that there are 60 seconds in one minute so sixty to one, not completely sure tho

6 0

3 years ago

Hi can you help me in mate plis simplify the following algebraic expressions

mars1129 [50]

Answer:

$\frac{3 {x}^{2} }{ {y}^{2} {z}^{6} }$

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

4 0

3 years ago

A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15

Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

$A= P(1+\frac{r}{n})^{nt}$

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

$A= P(1+\frac{r}{n})^{nt}$

$1500= 1200(1+\frac{0.02}{4})^{4t}$

Dividing both sides by 1200 and solving 0.02/4 = 0.005

$1.25= (1+0.005)^{4t}$

$1.25= (1.005)^{4t}$

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

$\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years$

8 0

4 years ago

The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5.

nikitadnepr [17]

Answer:

Step-by-step explanation:

The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...

Sn = a1·(r^n -1)/(r -1)

for r=5 and n=6, this becomes ...

15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)

Then we have ...

1 = a1/4 . . . . . divide by 15624

4 = a1 . . . . . . multiply by 4

The first term of the series is 4.

5 0

3 years ago