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ratelena [41]
3 years ago
14

A street has parallel curbs 40 feet apart. A crosswalk bounded by two parallel stripes crosses the street at an angle. The lengt

h of the curb between the stripes is 15 feet and each stripe is 50 feet long. Find the distance, in feet, between the strip

Mathematics
1 answer:
andreev551 [17]3 years ago
6 0

Answer:

The distance, in feet, between the strip = 12 feet.

Step-by-step explanation:

From the figure attached in relation with the question, we can deduce that crosswalk is a parallelogram where

CD/AB = CE/AE

CD = 40

CE = 50

AE = 15

Let AB = x

50x = 15 × 40

X = 12

 The distance, in feet, between the strip is therefore 12 feet

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3 years ago
Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript
kari74 [83]

You can use the properties of logarithm to get to the solution.

The approximate value for given term is given by

log_3(14) \approx 2.402

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

b = log_a(c)

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})

<h3>Using the above properties</h3>

log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771  = log_3(14)\\\\log_3(14) = 2.402

Thus,

The approximate value for given term is given by

log_3(14) \approx 2.402

Learn more about logarithm here:

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2 years ago
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They met 480 meters from the house.

<h3><u>Calculus</u></h3>

Given that Noah and his grandfather were returning home from a walk, and when they were 800 m away from the house, the grandfather said that he was thirsty, so Noah immediately ran home, got a bottle of water, and ran back to meet his grandfather who never stopped walking at a steady pace, to determine how many meters from the house did they meet if noah ran four times as fast as his grandfather walked, the following calculation must be made:

  • 200 x 4 = 800 - 200 = 600
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  • 325 x 4 = 1300 - 800 - (800 - 325) = -25
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Therefore, they met 480 meters from the house.

Learn more about calculus in brainly.com/question/26453068

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