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Nitella [24]
3 years ago
15

Find the sum of 3.0478 and 4.92 using the correct number of significant digits.

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

The sum of 3.0478 and 4.92 is 7.9678, which have 5 significant digits.

<u>Step-by-step explanation:</u>

We have , Number1 = 3.0478 and Number2  =4.92 . The significant digits of a number are digits that includes all digits except:

  • All leading zeros. For example, "013" has two significant figures: 1 and 3;
  • Trailing zeros when they are merely placeholders to indicate the scale of the number and  ,
  • Spurious digits introduced, for example, by calculations carried out to greater precision than that of the original data, or measurements reported to a greater precision than the equipment supports.

Here Number1 = 3.0478 and with significant digit rules Number2 = 4.9200 . Now, Sum of both numbers = Number1 + Number2

⇒Sum of both numbers = 3.0478 + 4.9200

⇒Sum of both numbers = 7.9678

∴ The sum of 3.0478 and 4.92 is 7.9678, which have 5 significant digits.

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State if each triangle is acute, obtuse,or right using Pythagorean theorem converse.
shtirl [24]

Answer:

Right triangle

Step-by-step explanation:

Properties for acute, obtuse or right triangle,

1). Given triangle will be a right triangle if,

   Hypotenuse² = (Leg 1)² + (Leg 2)²

2). Triangle will be an acute triangle if,

   (Largest side)² < (leg 1)² + (leg 2)²

3). Triangle will be an obtuse triangle if,

   (Largest side)² > (leg 1)² + (leg 2)²

Now we apply these properties in the given triangle,

(Largest side)² = (√11105)²

                        = 11105

(leg 1)² = (76)²

           = 5776

(leg 2)² = (73)²        

            = 5329

Since 11105 = 5776 + 5329 (First Property)  

11105 = 11105

Therefore, given triangle is a right triangle.

3 0
3 years ago
Write the ratios for sin A and cos A. Need help.
klio [65]

Answer:

Your answer would be C, Sin A= 3/5 cos A= 4/5

Step-by-step explanation:

Remember Soh-cah-toa

Soh stands for sin= opposite/hypotenuse

Cah stands for cos= adjacent/hypotenuse

Toa stands for tan= opposite/adjacent

8 0
3 years ago
-11.
dalvyx [7]

Answer:

<em>A(2,3) has a distance of 2 to the y-axis</em>

<em>B(-3,2) has a distance of 3 to the y-axis</em>

<em>C(2,-3) has a distance of 2 to the y-axis</em>

<em>D(-3,-2) has a distance of 3 to the y-axis</em>

Step-by-step explanation:

<u>Distance of a point to an axis</u>

Given a point (x,y) its rectangular coordinates are defined as the distances from the point to each axis with respect to the origin (0,0).

For example, the point (5,4) has a distance of 5 from the y-axis and a distance of 4 from the x-axis.

Generally speaking, point (x,y) has a distance |x| from the y-axis and a distance |y| from the x-axis.

The absolute value bars are used because the distance is always positive.

Apply that to the points:

A(2,3) has a distance of 2 to the y-axis

B(-3,2) has a distance of 3 to the y-axis

C(2,-3) has a distance of 2 to the y-axis

D(-3,-2) has a distance of 3 to the y-axis

8 0
2 years ago
Find an equation in rectangular coordinates for the spherical equation ρ = 7 csc ( ϕ ) csc ( θ )
irinina [24]
\rho=7\csc\phi\csc\theta\implies\rho\sin\phi\sin\theta=7\iff y=7
7 0
3 years ago
Y^2 + 18y - 41 = 0<br> Y= <br> Y=
lana66690 [7]

Answer:

y= -9+√122, or -9 - √122

Step-by-step explanation:

You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.

after solved, I got the answer as decimal,

y = 2.0453610.....

i simpler form : y = 2.05

Also, an answer can be y= -9+√122, or -9 - √122

6 0
2 years ago
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