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3 years ago

What would be the answer for this.

Mathematics

1 answer:

kvasek [131]3 years ago

4 0

Answer & Step-by-step explanation:

We are given that m∠1 = m∠2. We are to prove that line l is parallel to line m. So, let's make a proof. Your first statement should always be the given statement. You are given the statements. All we have to do is find the reasons for those statements.

m∠1 = m∠2 → Given
m∠1 = m∠3 → Vertical angles are equal
m∠2 = m∠3 → Substitution
l ║m → If corresponding angles are equal, then lines are parallel

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A boulder falls off the top of a cliff during a storm. The cliff is 90 feet high.

andreev551 [17]

Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

7 0

3 years ago

Suzy has a collection of quarters and dimes. Together she has 44 coins worth $6.95. How many quarters and how many dimes does Su

OverLord2011 [107]

X = quarters
y = dimes

0.25x + 0.10y = 6.95 or 25x + 10y = 695
x + y = 44

25x + 10y = 695
25 (x + y = 44)

25x + 10y = 695

25x + 25y = 1,100

-15y = -405
y = 27 dimes
and 17 quarters

6 0

3 years ago

SOMEONE PLEASE HELP DUE TMM

vodka [1.7K]

Yea use a calculator

5 0

3 years ago

The ratio of Country albums to Jazz albums in a music collection is 2:3. If the music collection has 45 albums, how many Country

Marina86 [1]

2:3. 2+3=5. So 45 divided by 5 equals 9

9x2 ( the ratio number of country music is 2)

So there are 18 country albums in the collection

4 0

3 years ago

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to

Elodia [21]

Answer:

The price of rice per gram is 0.006$

Step-by-step explanation:

I. David wants to make 10 servings,

each require 75 g of rice and 5 spice. When ratio is 15:1

If rice : spice = 75 : x

15x = 75

x = 5

=> 5 * 15 : 1 * 5

= 75 : 5

So rice : spice is 75 : 5

II. When 1 serving require 75 : 5

So 10 servings is 10 * 75 : 5 * 10

= 750 : 50

So he must has 750 grams rice and 50 grams spice.

III. He must buy spice and rice which..

a) He has 40 grams spice, he'll buy for 10 grams spice.

b) He has no rice, he'll buy for 750 grams rice.

But the question only ask for price of rice which he spend 4.5$

= $\frac{4.5}{750}$

= 0.006$

In 1 gram of rice he spend 0.006$

If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true

That makes 0.006$ is the right answer.

Hope that help :)

8 0

3 years ago