Mr. Burns measured the heights of 16 apple trees in his orchard. The results are shown in the

Write a number sentence that will calculate a reasonable estimate for the quotient of 3325÷5

Doss [256]

Answer:

3325/5=665

Step-by-step explanation:

3 0

2 years ago

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right

KiRa [710]

Answer:

$3\sqrt{5}\ units$

Step-by-step explanation:

Theorem 1: The height of right triangle drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments. Hence,

$KM^2=ML\cdot MJ\\ \\6^2=ML\cdot 3\\ \\3ML=36\\ \\ML=12\ units$

Theorem 2: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

Thus,

$KJ^2=MJ\cdot ML\\ \\KJ^2=3\cdot (3+12)\\ \\KJ^2=3\cdot 15\\ \\KJ^2=45\\ \\KJ=\sqrt{45}=3\sqrt{5}\ units$

5 0

2 years ago

The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many se

marysya [2.9K]

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per n seconds

- Need to solve for n

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

$\frac{1.86 * 10^5}{1}$ = $\frac{5.062 * 10^1^3}{n}$

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

n × (1.86 × 10^5) = 5.062 × 10^13

4. Solve for n by isolating the variable and dividing.

$\frac{n (1.86 * 10^5)}{1.86 * 10^5}$ = $\frac{5.062 * 10^1^3}{1.86 * 10^5}$

n = $\frac{5.062 * 10^1^3}{1.86 * 10^5}$

n = 2.72 × 10^8 (Make sure to include the unit, seconds)

4 0

2 years ago

Eli, Freda and Geoff were given £800 to share in the ratio of their ages.

algol13

First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of Geoff:
 $9+13+18=40$
The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.

Next, we are going to multiply the ratio between the age of the person and their combined age by £800:
For Eli: $\frac{9}{40} *800=180$
For Freda: $\frac{13}{40} *800=260$
For Geoff: $\frac{18}{40} *800=360$

We can conclude that Eli will get £180, Freda will get £260, and Geoff will get £360.

4 0

2 years ago

What are the lengths of sides KN and NM of the kite? KN = units NM = units

Natalka [10]

Y+10= 2y+5
10=y+5
5=y

Plug this in
(5)+10=15 for KN

2x+6=3x-1
6=x-1
7=x

Plug this value in
2(7)+6
14+6= 20 for NM

7 0

2 years ago

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