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1 year ago

Label the place value for 987,164.302

Mathematics

2 answers:

timama [110]1 year ago

8 0

Step-by-step explanation:

We are asked to write the place values for the number 987,164.302.

Let us place value of each digit.

Ones: 4

Tens: 6

Hundreds: 1

Thousands: 7

Ten thousands: 8

Hundred thousands: 9

Tenths: 3

Hundredths: 0

Thousandths: 2

alexdok [17]1 year ago

7 0

9 hundred thousands
8 ten thousands
7 thousands
1 hundreds
6 tens
4 ones
.3 tenths
.00 hundredths
.002 thousandths

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In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?

PilotLPTM [1.2K]

Answer:

Therefore the value of tangent of ∠ $M$ is $42$ °.

Step-by-step explanation:

Given that,

In Δ $MNO$ , ∠ $O=90$ °, $ON=65,$ $MO=72,$ and $NM=97.$

and we have to find the value of tangent of ∠ $M.$

Diagram of the given triangle is shown below:

Now,

Δ $MNO$ is a right angle triangle, so we can use all the trigonometric ratio.

$sin\alpha =\frac{Perpendicular}{Hypotenuse}$

$cos\alpha =\frac{Base}{Hypotenuse}$

$tan\alpha =\frac{sin\alpha }{cos\alpha }$ = $\frac{Perpendicular}{Base}$

tangent of ∠ $M$ = $\frac{Perpendicular}{Base}$

= $\frac{ON}{MO}$

= $\frac{65}{72}$

= $0.90278$

∴∠ $M$ = $tan^{-1} (0.90278)$

= $42.0750$ ° ≅ $42$ °

Therefore the value of tangent of ∠ $M$ is $42$ °.

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1 year ago

There are 450 students in my high school. 39 students are taking AP

Lelechka [254]

Answer:

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Step-by-step explanation:

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1 year ago

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

ipn [44]

Answer:

We have to determine the graph of the given inequality as:

$x^2+2x+1>0$

on solving this equation we get:

$(x+1)^2>0$

Since we know that:

$(x+1)^2=x^2+1^2+2\times x\times 1\\\\(x+1)^2=x^2+1+2x$

Now we know that when $x=-1$ the value of:

$(x+1)^2=0$

Also for the value other than -1 the function being a quadratic function will always give a non-zero positive value.

Hence, range of the function in intervals could be written as:

(-∞,-1)∪(-1,∞).

Hence, the graph of the function will be the whole of the number line with a open circle on -1.

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1 year ago

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Animals: The label on a bottle of pet vitamins lists dosage guidelines. What dosage would you give to each of these animals? (a)

Salsk061 [2.6K]

Answer:

a) 1 tsp.

b) 1.5 tsp.

c) 2 tsp.

Step-by-step explanation:

Complete Correct Question

Animals: The label on a bottle of pet vitamins lists dosage guidelines. What dosage would you give to each of these animals? (a) a 18 kg adult dog (b) a 6 kg cat (c) 18 kg pregnant dog

- The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.

- The dosage listed for adult cat is 1/4 tsp per 1 kg weight.

- The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.

Solution

a) 18 kg adult dog

The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.

9 kg dog weight = (1/2) tsp

18 kg adult dog = (18/9) × (1/2) = 1 teaspoon.

b) 6 kg cat

The dosage listed for adult cat is 1/4 tsp per 1 kg weight.

1 kg cat = (1/4) tsp

6 kg cat = (6/1) × (1/4) = (6/4) = 1.5 teaspoons.

c) 18 kg pregnant dog

The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.

4.5 kg dog weight = (1/2) tsp

18 kg pregnant dog = (18/4.5) × (1/2) = 2 teaspoons.

Hope this Helps!!!

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2 years ago

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Pedro fills a glass 2/4 full with orange juice. Write a fraction with a denominator of 6 that us greater than 2/4. (Please show

Setler79 [48]

Ok...so 2/4 = 1/2 or 0.5.....and u want a fraction with a denominator of 6 greater then this...

3/6 is not greater, it is equal....so try 4/6.......4/6 = 0.66....so it is greater then 2/4 and has a denominator of 6

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2 years ago

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