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2 years ago

The human heart beats approximately 1.152 • 10^5 times per day. Approximately how many times does the heart beat in a year

Mathematics

1 answer:

Paraphin [41]2 years ago

3 0

42,048,000, first solve the equation then multiply it by the number of days in a year

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The angle of elevation to a nearby tree from a point on the ground is measured to be

jeka94

Answer:

34 degrees

Step-by-step explanation:

7 0

2 years ago

Given 3 angles of a triangle how to find if its acute right, obtuse

mash [69]

If <a=90 or <b=90 or < c=90 the triangle is right
if one of the angles is > 90 the triangle is obtuse
if all the angles are < 90 the triangle is acute

8 0

3 years ago

Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

solniwko [45]

$Rewrite the expression 6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$$

The ratio of $\frac{q}{p}$ = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form $ax^{2} + bx + c$ to the vertex form

$a(x - h)^{2} + k$ . The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: $a(x + m)^{2} + n$ , such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

= $6(j^2 - \frac{2}{3} j )+12$

= $$6(j^2 - \frac{2}{3} j + \frac{1}{9} )+\frac{102}{9}$ (Completing Square method)

= $6( j- \frac{1}{3} )^{2} + \frac{34}{3}$

On comparing with the given equation we get

p = - $\frac{1}{3}$ and q = $\frac{34}{3}$

∴ $\frac{q}{p}$ = $\frac{\frac{34}{3} }{\frac{-1}{3} }$

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

7 0

1 year ago

If a stack of $10 bills is worth $90 billion what is the height of the stack in kilometers? Assume each bill is 0.2 milimeters t

Shtirlitz [24]

If I am not wrong you would multiply 90 times .2 to get that answer... If so the answer should be 450 kilometers

5 0

2 years ago

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

Solnce55 [7]

Since z is GREATER THAN two angles in the triangle it must be obtuse..
meaning it is GREATER THAN 90 degrees this means that the other two angles cannot equal 90 degrees they have to be less

m∠X + m∠Y < 90°

4 0

2 years ago

Read 2 more answers