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3 years ago

What is 4.12 rounded to nearest tenth?

2 answers:

8 0

when rounding to the nearest tenth, we have to see the digit in the hundredths place, if the digit is equal to or greater than 5, then we add 0.1, if the digit is less than 5 then there's no change to the digit in the tenths place

tenths place is the first number to the right of the decimal point

hundredths place is the number to the right of the tenths place

in the given number 4.12

digit in the hundredths place is 2, its less than 5 so there's no change to the digit in the tenths place

so 4.12 rounded to the nearest tenth is - 4.1

Dvinal [7]3 years ago

5 0

You round to the first decimal place so you get 4.1

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How do you write 4.83 as a fraction?

ikadub [295]

Answer:

4 5/6 (the last option)

Step-by-step explanation:

to ensure and find out you can dive 5/6 then add 4 and you get 4.833333333333

8 0

4 years ago

Read 2 more answers

Evaluate the expression: 4(8 − 6)5 2 − 6 ÷ (−3).

mr Goodwill [35]

Answer:

86 or 32, depending on the correctness of the syntax

Step-by-step explanation:

We use PEMDAS:

Parentheses: 4(2)5 2-6/(-3)

Exponents: <em>I'm assuming that all the syntax is correct (so no exponents).</em>

Multiplication and Division: 40*2+6 = 80 + 6

Addition and Subtraction: 86

If you copy+pasted this expression, then the original equation would have been: (4(8 − 6)^5)/(2 − 6 ÷ (−3)). We can use PEMDAS:

Parentheses: (4(2)^5)/(2 - 6 ÷ (−3))

We solve the parentheses individually using PEMDAS:
Exponents: (4*32) <-- Numerator | Denominator -->(2 - 6 ÷ (−3))
Multiplication and Division: 128 <-- Numerator | Denominator --> 2 + 2
Addition and Subtraction: 128 < -- Numerator | Denominator --> 4

We now have the following fraction: 128/4

That simplifies to 32

7 0

3 years ago

What ratios are equivalent to 10:16? What Apply

ASHA 777 [7]

Answer:

The answer is option 1 and 3.

Step-by-step explanation:

Firstly, you have to find the simplest form of the ratio by dividing the common numbers :

$10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8}$

Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :

Option 1,

$30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)$

Option 2,

$25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)$

Option 3,

$\frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)$

Option 4,

$8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)$

Option 5,

$5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)$

4 0

3 years ago

Using the banker's rule, the minimum annual income needed to borrow $75,000 for the purchase of a home is:

Angelina_Jolie [31]

Answer:

b. $30,000

Step-by-step explanation:

According to the banker rule, the minimum annual income needed to borrowed should be maximum of 2.5% of the annual income

Given that

The amount borrowed for purchased of the home is $75,000

So based on the above information, the minimum annual income is

$= Borrowed\ amount \times given\ percentage$

$= \$75,000 \times 2.5\%$

= $30,000

By multiplying the borrowed amount with the given percentage we can get the required minimum annual income and the same is to be shown above

7 0

4 years ago

14. A boy is standing on the top of a tower, observed that the angle of depression of a car on the horizontal ground is 60". On

qaws [65]

The height of the tower is 331.3 meters

The distance from the car to the foot of the tower is 191.3 meters

The situation forms a right angle triangle.

<h3>Right angle triangle:</h3>

Right angle triangle has one of its angles as 90 degrees. Therefore,

The height of the tower is the opposite side of the right angle triangle. The distance from the foot of the tower to the car is the adjacent side of the triangle formed.

Therefore, the following trigonometric can be formed from the relationship.

let

x = adjacent side = distance from the foot of the tower to the car.

Therefore,

$x=\frac{140 + h}{tan60}=\frac{h}{tan45}$

cross multiply,

(140 + h)(tan 45) = h tan 60

140 tan 45 + h tan 45 = h tan 60

140 tan 45 = h tan 60 - h tan 45

140 = h√3 - h

140 = 1.732h - h

140 = 0.732h

h = 140 / 0.732

h = 191.256830601

h = 191.3

Therefore,

height of the tower = 140 + 191.3 = 331.3

The distance from the car to the foot of the tower is as follows;

x = 191.3 / tan 45

x = 191.3 / 1

x = 191.3

Therefore, the distance from the car to the foot of the tower is 191.3 meters

learn more on right triangle here; brainly.com/question/26750565?referrer=searchResults

3 0

3 years ago