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3 years ago

5

A rectangle has a base of 5 inches and a height of 7 inches. If the dimensions are cut in half, what will happen to the

2 answers:

madreJ [45]3 years ago

6 0

Answer:

It will be one-fourth the original size

Step-by-step explanation:

forsale [732]3 years ago

6 0

It will be the fourth one and the original size. Hope this helps!

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(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x

Aliun [14]

As

$\tan x=\dfrac{\sin x}{\cos x}$
$\cot x=\dfrac{\cos x}{\sin x}$

we have

$\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x$

Recalling that $\cos2x=\cos^2x-\sin^2x$ , we end up with

$-\cos2x=1-2\cos2x$
$1=\cos2x$
$\implies2x=2n\pi$

(where $n$ is any integer)

$\implies x=n\pi$

5 0

3 years ago

If I work two days and get paid 7.25 an hour how much is that

PtichkaEL [24]

The answer is 348.00. You have to multiply 7.25 by 24 and then use the product and double it.

8 0

3 years ago

Read 2 more answers

1.Dakota bought 1.7 pounds of ham, 3.15 pounds of onions, and 6 cans of soup. What was the total cost before sales tax? Round

MrRa [10]

Answer: 15.73

Step-by-step explanation:

4 0

3 years ago

What is the nth term of the geometric sequence 4, 8, 16, 32, ... ?

Morgarella [4.7K]

Geometric is
$a_n=a_1r^{n-1}$
an=nth term
a1=first term
r=common ratio
n=which term

commmon ratio is like
a1 times r=a2
4 to 8
4 times 2=8
r=2
first term is 4
therefor

$a_n=4(2)^{n-1}$
the nth term is $4(2)^{n-1}$

3 0

3 years ago

In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear

Sever21 [200]

Answer:

$m= \frac{r_2 -r_1}{t_2 -t_1}= \frac{2000000-1000000}{14-4}=100000$

And then we can use for example the first point $(t_1, r_1) = (4, 1000000)$ to find the intercept:

$1000000= 100000*4 + b$

$b=600000$

So then the linear model for this case should be:

$r = 100000 t + 600000$

Step-by-step explanation:

For this case we want to find a linear model given by:

$r =mt+b$

Where r = represent the number of readers , t= years after 2000

m = the slope for the model and b the intercept

For this case we can define the following points from the data given:

$(t_1, r_1) = (4, 1000000)$ 4 years after 2000

$(t_2, r_2) = (14, 2000000)$ 14 years after 2000

We can find the slope with the following formula:

$m= \frac{r_2 -r_1}{t_2 -t_1}= \frac{2000000-1000000}{14-4}=100000$

And then we can use for example the first point $(t_1, r_1) = (4, 1000000)$ to find the intercept:

$1000000= 100000*4 + b$

$b=600000$

So then the linear model for this case should be:

$r = 100000 t + 600000$

8 0

3 years ago