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3 years ago

Model Tenths and Hundredths

Mathematics

1 answer:

kobusy [5.1K]3 years ago

5 0

Ten are like sticks and hundred s are squares called flats

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A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same

Travka [436]

Answer:

Well to this you would have to simplify the ratio first

75:35:45

That can be

15:7:9

So that means thayt each troop would get 15 enegery bars, 7 drinks and 9 bottles of water

Well if you were to keep repeating that process or just do a proportion you would get 5 total troops.

15:7:9

75:35:45

15*5 is 75

7*5 is 35

9*5=45

So 5 troops

7 0

2 years ago

Use the identity tan(theta) = sin(theta) / cos(theta) to show that tan(???? + ????) = tan(????)+tan(????) / 1−tan(????) tan(????

VMariaS [17]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following indentity:

$tan(x+y) = \frac{tan (x) + tan(y)}{1- tan(x) tan(y)}$

So we need to begin with the definition of tangent, we know that $tan (x) =\frac{sin(x)}{cos(x)}$ and we can do this:

$tan (x+y) = \frac{sin (x+y)}{cos(x+y)}$ (1)

We also have the following identities:

$sin (a+b) = sin (a) cos(b) + sin (b) cos(a)$

$cos(a+b)= cos(a) cos(b) - sin(a) sin(b)$

Now we can apply those identities into equation (1) like this:

$tan (x+y) =\frac{sin (x) cos(y) + sin (y) cos(x)}{cos(x) cos(y) - sin(x) sin(y)}$ (2)

We can divide numerator and denominator from expression (2) by $\frac{1}{cos(x) cos(y)}$ we got this:

$tan (x+y) = \frac{\frac{sin (x) cos(y)}{cos (x) cos(y)} + \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{cos(x) cos(y)}{cos(x) cos(y)} -\frac{sin(x)sin(y)}{cos(x) cos(y)}}$

And simplifying we got:

$tan (x+y) = \frac{tan(x) + tan(y)}{1-tan(x) tan(y)}$

And that complete the proof.

8 0

2 years ago

Jewel is 7 years old and John is 16 years younger than Dave. One year ago, Dvae's age was twice the sum of Jewel's and John's ag

ivanzaharov [21]

Answer:

Jewel is 7 years old

John is 1 year old

Dave is 17 years old

Step-by-step explanation:

From the question we are told that:

Jewel age is $J=7 years$

John age $J'=(D-16)years$

Dave's age a Year ago

$D-1=2(J-1+J'-1)$

So that Dave.s age this Year could be

$D=2((J-1)+(J'-1))+1$

Simplifying Equation for Dave's age we have

$D=2((7)-1+(D-16)-1)+1$

$D=2(6+D-15)+1$

$D=2(D-9)+1$

$D=2D-18+1$

$D=17 Years$

Dave is 17 years old

Therefore

Johns age is

$J'=(D-16)$

$J'=17-16$

$J'=1year old$

John is 1 year old

7 0

2 years ago

The volume of one cloud, in cubic kilometers, grows according to the expression 43x – 1, where x is time in hours. Another cloud

ella [17]

Answer:

Step-by-step explanation:

3 0

2 years ago

What is are indices

White raven [17]

Answer:

The index of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number. In this example: 82 = 8 × 8 = 64. The plural of index is indices. (Other names for index are exponent or power.)

Step-by-step explanation:

8 0

3 years ago