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2 years ago

Benchmark 2 - Item 206328

Mathematics

1 answer:

In-s [12.5K]2 years ago

7 0

Answer:

I think its option 2.

Step-by-step explanation:

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A light-year is 5.9 x 10^12 miles. A mile is approximately 6.34 x 10^4 inches. About how many inches are in a light-year? Write

NeTakaya

The answer would be 3.7406 × 10^17. Because when multiplying the constant you would get 37.406 and then you add the exponent and add one more since only one decimal can be over the decimal.

3 0

2 years ago

I need your help guys !!!!!!!!

Ber [7]

$\bold{\huge{\blue{\underline{ Solution}}}}$

$\bold{\underline{ We \: have \:given \: that, }}$

Distance between the house and tower is 35 m
The height of the tower is 60 m
The height of the house is 25 m

$\bold{\underline{ Now}}$

Height of the house is 25m

$\bold{\underline{ So, }}$

$\sf{ CE = 25m }$

Therefore,

$\sf{ AB = AD - CE }$

$\sf{ AB = 60 - 25 }$

$\sf{ AB = 35 m }$

Now, In Right angled ABC

$\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}$

$\bold{tan Φ =}{\bold{\frac{ 35}{35}}}$

$\bold{ tan Φ = 1 }$

$\bold{ tan Φ = 45 °}$

$\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}$

7 0

1 year ago

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card,

Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red and 6 blue cards. Then the event of of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

It cannot be this option because we need 4 blue card

b. B AND O

It cannot be this choice as well because 4 is not odd.

c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′ = It will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

5 0

2 years ago

3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than

IRISSAK [1]

Answer:

Sophie has 12.5 cards

Step-by-step explanation:

Let

x -----> number of cards Sophie has

y -----> number of cards Jackie has

we know that

x+y=30 -----> equation A

y=x+5 -----> equation B

Solve by substitution

Substitute equation B in equation A and solve for x

x+(x+5)=30

2x=30-5

x=12.5 cards

Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number

5 0

2 years ago

The Great Pyramid of Giza is a square pyramid located by El Giza, Egypt. The height of the pyramid is currently 455.4 feet. The

jonny [76]

V = a²h/3

Plugging values in we get 8.67X10^7, or 86,700,000

3 0

2 years ago