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docker41 [41]
3 years ago
7

A student would like to estimate the height of a statue. The length of the​ statue's right arm is 51 feet. The​ student's right

arm is 2 feet long and her height is 5
1
3 feet. Use this information to estimate the height of the statue. How close is the approximate height to the​ statue's actual height of 135 ​feet, 3 inches from heel to top of​ head?


I got a.
13 feet

b. What is the difference between the appoximate height of the statue and its actual​ height?
Mathematics
1 answer:
Vinvika [58]3 years ago
8 0

Answer:

FEET

Step-by-step explanation:

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Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
denis23 [38]
<h2>Answer: 2.8 miles</h2>

Step-by-step:

We can write it in the proportion \frac{7}{60} = \frac{x}{24}

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

<h3>Cross Multiply</h3>

We multiply the numerator with the dominator

so 7 multiplied by 24

and 60 multiplied by x

7*24=60x

168=60x

\frac{168}{60} =\frac{60x}{60}

2.8=x or x=2.8

Now for the

<h3>Butterfly Method </h3>

You would do 7 times 24 divided by 60 or \frac{7*24}{60}

Then\frac{168}{60} simplify

2.8 so 2.8 miles in either method

3 0
3 years ago
Solve this identifying holes, vertical asymptotes, and horizontal asymptotes for
USPshnik [31]

x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}

\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}

6 0
3 years ago
Solve this system by substitution (3 variables) brainliest answer goes to first answer and 8 points!
Natalka [10]

Answer:Solve this system by substitution (3 variables) brainliest answer goes to first answer and 8 points!

-x -y -z = -8

-4x +4y +5z = 7

2x+2z=4

Show steps please!

Step-by-step explanation: a-z=3-2=657u568959jb5j656856 thats the answer your welcome

4 0
3 years ago
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
blondinia [14]

Answer:

Find out the what function equation represents the population of the city after t years .

To prove

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

This can be represented by exponential decreasing function.

f(t) = a (1 - r)^{t}

Where a is the initial value.

r is the rate in decimal form

t is the time.

Here

a = 451,400

3.2 % is written in the decimal form.

= \frac{3.2}{100}

= 0.032

Put in the formula

f(t) = 451400 (1 - 0.032)^{t}

f(t) = 451400 (0.968)^{t}

Therefore the decrease in the population of the city after t years is represented by

f(t) = 451400 (0.968)^{t}



5 0
3 years ago
Read 2 more answers
Find the area of the figure
Ivenika [448]
So it's best in this case to separate both shapes so you have a rectangle and a triangle so to solve the area of a rectangle you do
The following ( picture )
So I hope this helps

5 0
3 years ago
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