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1 year ago

4. A 40 foot ladder is leaning against the side of a building. If the bottom of the ladder is 24

1 answer:

8 0

First you start by drawing a right triangle. the longest side is the length of the ladder (40ft) and will be represented by variable c. Label the vertical side as a and the horizontal side as b(24 ft).

we will use a^2 +b^2 =c^2 to find it. plug in the variables and it will be a^2 + 24^2 = 40^2 which simplifies to a^2 + 576 = 1600. you then isolate the variable by subtracting 576 from 1600. our new equation is a^2 = 1024. we take the sqrt of a^2 and 1024 so our final equation is a=32 ft. the answer is 32 feet.

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What is the fewest number of quarters, nickels, and pennies that can be fairly exchanged for 2 quarters, 6 nickels, and 9 pennie

adoni [48]

Answer:

Your answer is 3 quarters, 2 nickels, and 4 pennies

Step-by-step explanation:

2 quarters plus 6 nickels plus 9 pennies is equal to 89 cents. So if we subtract 75(3 quarters) we get 14 which is less than 25 therefore we must only use nickels and pennies from now on. If we take 14 and subtract 10(2 nickels) we get 4 which less than 5 leaving us only to use pennies, which one a piece so it must be 4 pennies. Hope this helps!

4 0

3 years ago

1. In a triangle, if m<1 = 27° and m<2 = 90°, what is m<3?

Nesterboy [21]

The answer is c. 117 degrees

5 0

3 years ago

Jenny tweets 33 times a day. antonio posts 5 tweets per day. let d represent the number of given days. use an algebraic expressi

algol13

Jenny's algebraic expression:

y = 33d

where y is the total number of posts

total tweets in 5 days

y = (33)(5)

y = 165 tweets

Antonio's expression:

y = 5d

total tweets in 5 days

y = (5)(5)

y = 25 tweets

Altogether they have posted:

165 + 25 tweets = 190 tweets in five days

6 0

2 years ago

a survey of 504 citizens found that 378 of them favor a new bill introduced by the city. We want to find a 95% confidence interv

Viefleur [7K]

The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

<h3>What is a confidence interval?</h3>

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have:

A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Sample proportion = p = 378/504 = 0.75

q = 1 - p = 1 - 0.75 = 0.25

$\rm SD = \sqrt{\dfrac{pq}{n}}$

$\rm SD = \sqrt{\dfrac{0.75\times0.25}{504}}$

SD = 0.01928

For 95% confidence interval Z value = 1.96

Lower limit = 0.75 - 1.96(0.01928)

= 0.712

Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Learn more about the confidence interval here:

brainly.com/question/6654139

#SPJ1

3 0

2 years ago

Can anyone find the distance?

BigorU [14]

Sqrt((y2-y1)^2)+(x2-x1)^2)

6 0

2 years ago