The answer is:
7 miles
5+2=7
Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Step-by-step explanation:
We need to match the reason with the correct step in the equation.
Equation:
Given:

Applying Distributive property a(b+c)=ab+ac

Now, Applying addition property of equality:
Adding +4x on both sides

Now, Applying Division property of Equality:
Divide both sides by 6:

So, Answer will be:
Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Keywords: Solving Equations
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Answer:
13 in³
Step-by-step explanation:
This is a skewed pyramid, but that doesn't change the way you find the volume of the figure.
The formula for the volume of a pyramid is 1/3(b)(h)
Multiply 6 by 6.5 to get 39, then divide it by 3 to get 13 in³
Answer:
145 yd²
Step-by-step explanation:
There will be dour triangular faces. For a triangle, area is given as
A=½bh where b is base and h is height. The base will be 5 yards and h is 12 yards hence for one triangular face, area will be ½*5*12=30 yd²
Since they are four similar triangles, area of triangular faces will be 30*4=120 yd²
The surface area of a square base is given by
A=a*a=a² where a is the dimension of one side. Given that the meaurement is 5 yards then A=5²=25 yd²
Total area will be the sum of triangular and square faces hence 120+25=145 yd²
Answer:
4.


5.


Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,

Where (a) is the side opposite the (30) degree angle, (
) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (
). Thus the following statement can be made,

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,
