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3 years ago

1 poin

Mathematics

1 answer:

mars1129 [50]3 years ago

8 0

Answer:

The building is 187.5 feet tall.

Step-by-step explanation:

A nearby person is 6 feet tall, and casts a shadow that is 8 feet long.

This means that the relation between the real height and the shadow is given by:

$\frac{6}{8} = \frac{3}{4}$

A tall building casts a shadow that is 250 feet long. How tall is the building?*

The real height is three fourths of the shadow. So

$\frac{3}{4}*250 = 187.5$

The building is 187.5 feet tall.

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Use the identity x^3+y^3+z^3−3xyz=(x+y+z)(x^2+y^2+z^2−xy−yz−zx) to determine the value of the sum of three integers given:

RoseWind [281]

Inserting all the given information into the identity, we have

$684-3(210)=(x+y+z)(110-107)\implies x+y+z=18$

4 0

3 years ago

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ehidna [41]

The answer is C, from where the end lines go down to on the graph

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3 years ago

You bought a shirt with the price of $135.50, and the sale tax rate is 8.25% whats the sales tax

svp [43]

Answer:

11.18

Step-by-step explanation:

135.50 x .0825=11.18

6 0

3 years ago

Josh and Greg leave from the same place

nasty-shy [4]

9514 1404 393

Answer:

Josh: 32 mph, 64 mi
Greg: 64 mph, 320 mi

Step-by-step explanation:

Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...

distance = speed · time

distance = x · 2 = 2x

Then 2x is Greg's rate of travel After 5 hours, his distance is ...

distance = speed · time

distance = (2x) · 5 = 10x

The distance they are apart is ...

10x -2x = 256

8x = 256

x = 32

Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.

Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.

<em>Check</em>: 320 miles - 64 miles = 256 miles . . . . correct separation

6 0

3 years ago

SELECT ALL THAT APPLY. In a population of 250 students, 60% are Whites, 20% are Latinos, 15% are Blacks, and 5% others. In a pro

Sophie [7]

In a proportionate stratified sample of 120, there are 72 Whites, 24 Latinos, 18 Blacks and 6 others.

Proportionate Stratified Sample

A proportionate stratified sample is one in which the size of the strata in the sample is proportional to the size of the strata in the population; in other words, the chance of selecting a unit from a stratum depends on the relative size of that stratum in the population.

Calculating the Proportionate Stratified Sample

The given percentage of -

Whites = 60%

Latinos = 20%

Blacks = 5%

Strength of the sample = 120

⇒ Number of Whites = 60% of 120

= 0.6 × 120

=72

Number of Latinos = 20% of 120

= 0.2 × 120

=24

Proportionate Stratified Sample of Blacks and Others

Count of Blacks = 15 % of 120

= 0.15 × 120

= 18

Count of others = 5% of 120

= 0.05 × 120

Thus, in a Proportionate Stratified Sample of 120, 72 are Whites, 24 are Latinos, 18 are Blacks, and 6 are others.

Learn more about Proportionate Stratified Sample here:

brainly.com/question/20692763

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6 0

2 years ago