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3 years ago

In your own words explain the place value relationship when the same two digits are next to each other in a multi digit number

1 answer:

5 0

When the same two digits are next to each other, such as 2.2 you know the relationship is that the 2 in the ones place is exactly 10 x that of the 2 in the tenths place. The same relationship applies that the 2 in the tenths place is exactly 1/10 that of the 2 in the tens place. So the number to the left of the other would be a multiple of that number; the number on the right of the other would be a division of the that number.

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part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.

andreev551 [17]

Answer: $\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}$

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

$5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18

$6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}$

Note: 8² + 15² = hypotenuse² → hypotenuse = 17

$7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}$

Note: hypotenuse not needed for tan

$8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}$

Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10

8 0

3 years ago

The side-by-side boxplots show the ages of all Oscar winners for Best Actress (females) and Best Actor (males). It's easy to see

leonid [27]

The answer is A. 61.5

3 0

3 years ago

Read 2 more answers

Write a summary can Smartphones improve student lives? why or why not ( in your own words )

bonufazy [111]

Answer:

Smartphones can imrove student lives by giving students the ability to contact their teachers to ask questions or comment on a specific work. they can also allow the student to look up answers and learn from what others think. Smartphones can also add distractions in class and allow an easy way to cheat on a test or a quiz. Overall Smartphones can be beneficial and harmful to a students life.

Step-by-step explanation:

4 0

3 years ago

Today Alice is five times as old as Todd in 10 years she will only be 3 times as old what is there age now

Ugo [173]

Answer:

Step-by-step explanation:

3 0

3 years ago

How do I find the volume of a prism?

frez [133]

Answer:

470 cm³

Step-by-step explanation:

Decompose the prism into two rectangular prism.

Prism 1 will have the following dimensions and volume:

Length = 10 cm

Height = 8 cm

Width = 9 - 5 = 4 cm

Volume = L × W × H

Volume = 10 × 8 × 4 = 320 cm³

Prism 2:

Length = 10 cm

Height = 3 cm

Width = 5 cm

Volume = 10 × 3 × 5 = 150 cm³

✔️Volume of the entire prism = 320 + 150 = 470 cm³

6 0

3 years ago