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stich3 [128]
3 years ago
6

The price of a television was reduced from $2000 to $1400. By what

Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

30%

Step-by-step explanation:

2000-----100%

1400------x%

x=(1400×100)÷2000

X=70%

final we go 100%-70%=30%

Television price reduced for 30%

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SinX/1-cosX+sinX/1+cosX
d1i1m1o1n [39]
It looks like you're missing some parentheses.
I think this is the equation you mean:
sin(x)/(1-cos(x)) + sin(x)/(1+cos(x))
your common denominator is (1-cos(x))*(1+cos(x)), which is the difference of squares simplification and is equal to (1-cos^2(x)) = sin^2(x)
Numerator: sin(x)*(1+cos(x)) + sin(x)*(1-cos(x))
= sin(x) +sin(x)cos(x) + sin(x) - sin(x)cos(x)
= 2sin(x)
Answer: 2sin(x)/sin^2(x) = 2/sin(x) = 2csc(x)
3 0
4 years ago
Joshua traveled 5 hours from City A to City B. The distance between the cities is 260 miles. First he traveled at the constant s
ruslelena [56]

Joshua  travelled for 3 hours at the constant speed of 60 mi/h

<h3><u>Solution:</u></h3>

Given that, Joshua traveled 5 hours from City A to City B

The distance between the cities is 260 miles.  

First he traveled at the constant speed of 40 mi/h, and then at the constant speed of 60 mi/h.  

So, let the number of hours he travelled with 40 mi/h be "n" hours and the distance travelled be "x" miles

Then, the time in which he travelled with 60 mi/h will be 5 – n hours and distance travelled will be 260 – x miles

We have to find how many hours did he travel at the constant speed of 60 mi/h

<em><u>The relation between speed and distance is given as:</u></em>

\text { distance }=\text { speed } \times \text { time. }

\begin{array}{l}{40 \mathrm{mil} / \mathrm{h} \times \mathrm{n} \text { hours }= x \text { miles }} \\\\ {\rightarrow x=40 \mathrm{n} \rightarrow(1)} \\\\ {\text { And } 60 \times(5-\mathrm{n})=260-x \text { miles }}\end{array}

\begin{array}{l}{\rightarrow 300-60 n=260-40 n(\text { from }(1))} \\\\ {\rightarrow 60 n-40 n=300-260} \\\\ {\rightarrow 20 n=40} \\\\ {\rightarrow n=2}\end{array}

So, he travelled 2 hours with speed of 40 mi/h and 5 – 2 = 3 hours with speed of 60 mi/h

Hence, he travelled for 3 hours

5 0
3 years ago
Find the surface area of this triangular prism
Karo-lina-s [1.5K]

Answer:

This may not be the numbers but just follow the way in how i did it hope it helps!!!

Step-by-step explanation:

SA= 2lw x 2lh x 2wh

Length - 5m

Width - 4m

Height - 6m

= 2 (5 x 4)+2 (5 x 6)+2 (4 x 6)

=2 ( 20)+2 (30)+2 (24)

= 40 + 60 + 48

=148

The dimensions of a second rectangular prism that will have the same surface area will be the below:

Length - 6m

Width -  5m

Height - 4m

SA = 2lw + 2lh + 2wh

= 2(6 x 5)+2 ( 6 x 4) +2 ( 5 x 4)

=2(30)+2 (24)+2 (20)

=60 + 48 + 40

= 148

7 0
3 years ago
Writes 25 x 10 to the power of 6
Serggg [28]

(25*10)^6

Sure hope this helps you

<u><em>And please mark me brianiest if this is correct</em></u>

3 0
2 years ago
When the expression 2y – 3 + 7x + 4y – 2x is simplified, what is the new expression?
uysha [10]

Answer:

6y + 5x - 3

Step-by-step explanation:

Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.

Given the expression;

2y – 3 + 7x + 4y – 2x

Collecting like terms, we have;

Expression = 2y + 4y + 7x - 2x - 3

Expression = 6y + 5x - 3

3 0
3 years ago
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