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gulaghasi [49]
3 years ago
14

Calculate the answer to the correct number of significant digits. (91.01)(10.7)

Mathematics
1 answer:
aalyn [17]3 years ago
6 0

Answer:

974

Step-by-step explanation:

(91.01)*(10.7)

91.01*(10.7)

91.01*10.7

973.80700

974

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Prove that root3 (cosec (20))-sec (20)=4
Tems11 [23]
Root 3 /sin 20 - 1/cos 20

= (root3 cos 20 - sin 20 )/ (sin 20 cos 20)
(multiplying and dividing by 2)
=  2* (root3/2 cos 20 -1/2 sin 20)/ (sin 20 cos 20)

now sin 20 cos 20  = (2 sin 20 cos 20)/2 = (sin 40)/2
and writing root3/2 = sin 60, 1/2 = cos 60

= 2* (sin 60 cos 20 - cos 60 sin 20)/ (sin 40)/2

= 4* (sin (60-20))/sin 40

= 4* (sin 40)/sin 40
=4

Ask if any doubt in any step :)
7 0
3 years ago
Read 2 more answers
Choose the correct simplification of the expression a2 ⋅ a3. a a6 a5 a−1
alina1380 [7]

Answer:  The correct option is (C) a^5.

Step-by-step explanation:  We are given to choose the correct simplification for the following expression :

P=a^2.a^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following property of exponents :

x^a.x^b=x^{a+b}.

So, the simplification of expression (i) is as follows :

P\\\\=a^2.a^3\\\\=a^{2+3}\\\\=a^5.

Thus, the correct simplification of the given expression is a^5.

Option (C) is CORRECT.

3 0
3 years ago
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The value of y is directly proportional to the value of x when x=512 y=128 what is the value of y when x=64
luda_lava [24]
Answer: y=16
explanation: y=128 when x=512, so to get the value of y, you need to divide 512/64=8. dividing 512(x) by 8 times gets 64, so you need to divide 8 on the other side(y). 128/8=16. hope this helped!
3 0
1 year ago
What is the equation for the translation of X^2+y^2=9 four units to the right and three units down
icang [17]
We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)

the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²

see the attached figure

4 0
3 years ago
Andy joins a social networking site. After day three, he has 25 friends; after day eight, he has 40 friends. Write the equation
Allisa [31]

Answer:

Point slope intercept form: The equation for line is given by; y-y_1=m(x-x_1) ......[1] ; where m is the slope and a point (x_1, y_1) on the line.

Let x represents the number of days and y represents the number of friends.

As per the statement:  After day three, he has 25 friends; after day eight, he has 40 friends.

⇒ We have two points i.e,

(3, 25) and (8, 40)

First calculate slope(m);

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the given values we get;

m = \frac{40-25}{8-3}=\frac{15}{5} = 3

now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

y-25=3(x-3)

Using distributive property; a \cdot(b+c) = a\cdot b + a\cdot c

y-25 = 3x - 9

Add 25 on both sides, we get;

y-25+25 = 3x - 9+25

Simplify:

y =3x + 16

if  x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

7 0
3 years ago
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