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sveticcg [70]
3 years ago
11

Roduct of 0.42 * 0.2

Mathematics
1 answer:
oee [108]3 years ago
6 0

Answer:

0.084

Step-by-step explanation:

0.42 * 0.2 = 0.084

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Simplify the expression by using a double-angle formula or a half-angle formula. (a) 2 tan(5°) 1 − tan2(5°)
antoniya [11.8K]

The question is related to trigonometry and we have to use the formula of double angle .

Here we use double angle formula of tangent function which is

tan(2x) = \frac{2tan(x)}{1-tan^2(x)}

Given expression is

\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}

Comparing it with double angle formula, we will get x = 5

SO the required expression is equal to

\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}  =tan(2*5 )

\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}  =tan(10 )

So the answer is tan(10) .

6 0
3 years ago
If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

5 0
3 years ago
Everything in a store is discounted by 25%. What is the sale price of a clock with a regular price of $24.60?​
Lelechka [254]

Answer:

$24.35

Step-by-step explanation:

sale price⇒ total price-discount price

s.p=$24.60-25/100                              ∴25%⇒25/100

s.p⇒$2460/100-25/100                           ∴24.60⇒2460/100

s.p⇒$24.35

           ⇒$24.35

3 0
3 years ago
FIND M∠R (GIVING BRAINLIEST, 25 PTS)
riadik2000 [5.3K]

Answer:

<h2>76</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • triangles
  • equation
  • PEMDAS
<h3>given:</h3>
  • M\angle T=2x+2
  • M\angle R=3x+1
<h3>tips and formulas:</h3>
  • this is an isosceles triangle since two sides are equal therefore \angle T=\angle S
  • a triangle contains 180°
<h3>let's solve:</h3>

according to the question

2x+2+2x+2+3x+1=180

solve:

  1. collect like terms:7x+5=180
  2. substract 5 from both sides:=>7x+5-5=180-5=>7x=175
  3. divide both sides by 7: =>7x/7=175/7
  • x=25

given:

M∠R=3x+1

substitute the value of x

3×25+1

75+1

76

7 0
3 years ago
Read 2 more answers
The height, h, in feet of a ball above the ground is given by h = −16t2 + 64t + 80, where t is the time in seconds. How long doe
Gwar [14]

Answer:

t = 5 seconds

Step-by-step explanation:

It is given that, the height h, in feet of a ball above the ground is given by :

h=-16t^2+64t+80

Where t is in seconds

We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,

-16t^2+64t+80=0\\\\t=\dfrac{-64\pm \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=\dfrac{-64+ \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16},\dfrac{-64-\sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=-1\ s\ \text{and}\ t=5\ s

Neglecting negative time.

It means ball will take 5 seconds to hit the ground.

3 0
3 years ago
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