Question 1:
73 is a prime number. It can only be divided by 1 and by itself.
The GCF of the three numbers:
54 36 73
1×54 1×36 1×73
2×27 2×18
3×18 3×12
6×9 4×9
6×6
GCF of 54, 36 and 73 is 1
GCF of 54 and 36 is 18
If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.
So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets
Answer:
Area
square units
units
units
Step-by-step explanation:
In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.
So,
![BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units](https://tex.z-dn.net/?f=BD%5E2%3D15%5Ccdot%2010%5C%5C%20%5C%5CBD%5E2%3D150%5C%5C%20%5C%5CBD%3D%5Csqrt%7B150%7D%3D5%5Csqrt%7B6%7D%5C%20units)
a. The area of the triangle ABC is
![A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.](https://tex.z-dn.net/?f=A_%7BABC%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20BD%5Ccdot%20AC%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%205%5Csqrt%7B6%7D%5Ccdot%20%2815%2B10%29%3D%5Cdfrac%7B125%5Csqrt%7B6%7D%7D%7B2%7D%3D62.5%5Csqrt%7B6%7D%5C%20un%5E2.)
b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so
![AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units](https://tex.z-dn.net/?f=AB%5E2%3DAD%5Ccdot%20AC%3D15%5Ccdot%2025%5CRightarrow%20AB%3D5%5Csqrt%7B15%7D%5C%20units%5C%5C%20%5C%5CBC%5E2%3DCD%5Ccdot%20AC%3D10%5Ccdot%2025%5CRightarrow%20BC%3D5%5Csqrt%7B10%7D%5C%20units)
Answer:
x=17
Step-by-step explanation:
999+100
Hope This Helped.<span>♥️</span>
Answer:
6
Step-by-step explanation:
46, 48, 64, 68, 86, 84