Answer:
AD = 3
Step-by-step explanation:
Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).
Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².
Expanding the formula, you'll get 25 - 16 = a².
25 - 16 = 9.
This means that 9 = a².
To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.
Answer:
he should budget about $51.22
Step-by-step explanation:
annual mean one year since there is 12 months in a year you would want to divide 12 to $614.66
It is 4 i am not gonna lie
Answer:
Number of rocks and fossils collected by you is <u>1 and 24</u> respectively
Number of rocks and fossils collected by your friend is <u>3 and 12 </u>respectively
Step-by-step explanation:
Let the number of Rocks you collect be x
Let the number of Fossils you collect be y
Then the total number pf objects you collected will be
x + y = 25
x = 25 - y------------------------------(1)
Your friend collects three times as many rocks and half as many fossils as you.
This can be written as
3x + y (1/2) = 15
3x + (y/2) = 15-------------------(2)
Substituting (1) in (2)
3(25 - y) + (y/2) = 15
75 - 3y + (y/2) = 15
Grouping the like terms we get,
75 - 15 = 3y = (y/2)
60 = ( 6y - y /2)
60 x 2 = 6y -y
120 = 5y
y = 120/5
y = 24
Substituting y value in equation(1) we get
x = 25 - 24
x= 1
y= 24
Friends collects 3 times rock
so collects 3x =3(1) = 3rocks
Also he collects half as many fossils
That is
y/2 = 24/2 = 12 fossils
<u><em>Hope this help you! :)</em></u>
Problem 1
Draw a straight line and plot P anywhere on it. Use the compass to trace out a faint circle of radius 8 cm with center P. This circle crosses the previous line at point Q.
Repeat these steps to set up another circle centered at Q and keep the radius the same. The two circles cross at two locations. Let's mark one of those locations point X. From here, we could connect points X, P, Q to form an equilateral triangle. However, we only want the 60 degree angle from it.
With P as the center, draw another circle with radius 7.5 cm. This circle will cross the ray PX at location R.
Refer to the diagram below.
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Problem 2
I'm not sure why your teacher wants you to use a compass and straightedge to construct an 80 degree angle. Such a task is not possible. The proof is lengthy but look up the term "constructible angles" and you'll find that only angles of the form 3n are possible to make with compass/straight edge.
In other words, you can only do multiples of 3. Unfortunately 80 is not a multiple of 3. I used GeoGebra to create the image below, as well as problem 1.
