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4 years ago

Which is the smallest 0.43, 3/7, 43.8%, 7/16

1 answer:

6 0

Convert all to decimals for easy comparison :
0.43 = 0.43
3/7 = 0.4285
43.8 = 0.438
7/16 = 0.4375

smallest = 0.4285 = 3/7

Answer: 3/7

You might be interested in

Consider a set of 7500 scores on a national test whose score is known to be distributed normally with a mean of 510 and a standa

german

$\mathbb P(X>600)=\mathbb P\left(\dfrac{X-510}{85}>\dfrac{600-510}{85}\right)=\mathbb P(Z>1.059)\approx0.145$

So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see $0.145\times7500\approx10.86$ scores above 600.

5 0

3 years ago

I need help with numbers 2,3,4,5,6 I need to graduate so help

Neporo4naja [7]

Answer:

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

*note* you can simplify the above further (by rationalizing them), but I think it's probably fine to leave them as is *

3.) g15.9

4.)25.4

5.) 70.8

6.) 36.4

Step-by-step explanation:

Cot is the inverse of toa so cot= adj/opp

This means the traingle's adjacent side is √3 and its opposite is 5

with this information let's figure out the hypotonouse

√3²+5²=c²

3+25=c²

28=c²

√28=c

√28=2√7

which means the triangle's

opposite= √3

hypotonous= 2√7

Adjacent= 5

With all of this we can just plug in the numbers to find the missing information (where α=angle or theta)

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

For this one we have the adjacent and need the opposite

we will use TOA

Tan(25)=x/34

34tan(25)=x

x=15.9

4.) For this one we have the adjacent but need the hypotonouse

we will use CAH

cos(48)=17/x

17/cos(48)=x

x=25.4

5.) for number 5 we have the oppsite and hypotonouse and so we'll use SOH

sin(α)=17/18

α=70.8

6.) For this one we have the opposite and adjacent and so we'll use TOA

Tan(α)=(31/42)

α=36.4

8 0

3 years ago

How do you solve this ?

saveliy_v [14]

When given a value of the variable, we replace each instance of the variable in the problem with that number. In this case, the expression becomes:

$\frac{3^2 + 3}{3 - 1}$

After this, we merely need to simplify the answer.

$\frac{9 + 3}{3 - 1}$

$\frac{12}{2}$

Simplifying 12/2 gives us the answer 6.

5 0

3 years ago

What is 20/7 as a mixed number in simplest form?

cricket20 [7]

It would be: 20/7 = 2 6/7

In short, Your Answer would be 2 6/7

Hope this helps!

5 0

3 years ago

Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of s

makkiz [27]

Answer:

The correct options are;

0.4 represents the height of each block

0.6 represents the height of the base

Step-by-step explanation:

The given information are;

The activity Kirima is engaged in = Building a wall

The process by which she is building the wall includes

1) Construction of a base on the floor

2) Piling blocks of uniform height to form the wall

3) Estimating the height of the wall she is constructing with the expression 0.4·x + 0.6 where the constants which are 0.4 and 0.6 are in meters;

From her procedure, we have the constants, which are the values that do not change as follows;

1) The firm base

2) The uniformly sized blocks

Of the two constants, the one that consists of multiple items is the uniform sized blocks as they are laid in brick pattern

There is only one firm base

Therefore, the constant that has a variable is the uniform sized blocks

Which gives in the expression 0.4·x + 0.6, we have;

0.4 = The dimension of the uniform sized blocks

∴ 0.6 = The dimension of the firm base.

7 0

3 years ago