Answer:
B - 150 yd
Step-by-step explanation:
Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; <em>a² + b² = c².</em>
In this case, let's label the the missing side A, the height B, and the hypotenuse C.
<em>X² + 15² = 25²</em>
Then you must figure out what 15² and 25².
<em>15² = 225</em>
<em>25² = 625</em>
The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².
<em>625 - 225 = 400. </em>
Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.
<em>√400 = 20.</em>
<u>The missing length of the triangle is 20 yards. </u>
Now it's just a matter of finding the area by using the formula;
<em>A = </em>
Or,
<em>(20 × 15) ÷ 2 = 150.</em>
<u>And there's your answer. Don't forget to add the units.</u>
<u />
<h2>
Hope this helped.</h2>
Answer:
8/15 left
Step-by-step explanation:
Given data
We want to perform subtraction operation on fractions
Total number of water= 5/6
we are told that 3/10 are for other runners
Hence the number of water left is
=5/6-3/10
=50-18/60
=32/60
=8/15
Hence there are 8/15 left
Answer: The player is catching the ball at (4,25), therefore the second option is correct.
Explanation:
It the given graph x-axis represents the time (in seconds) after throw and y-axis represents the distance from goal (in yards).
In the graph violet and orange lines represents the distance of player and ball respectively, from the goal at different point of time.
The player will catch the ball when the distance of player and ball from the goal is same on the single point of time.
The point of time where distance of player and ball from the goal is same, is the point of intersection of both lines.
From the graph it is clearly noticed that both lines violet and orange insects at point (4,26), therefore player is catching the ball at (4,25), therefore the second option is correct.
Follow PEMDAS.
You would first do your distributive property which is, -5(z+2). You would multiply -5 to z and -5 to 2 which will give you -5z + -10.
so now you have 2z-5z+ -10= -8 - 2z. Now you must isolate the variable. So subtract -8 to -10 which will give you -18.
Now you have the equation 2z-5z-18=-2z
Now combine like terms. 2z-5z= -3z
Now you have the equation -3z-18=-2z
Now you must move the -3z to the other side of the equal sign by adding the opposite which is +3z to -2z which will give you +1z
Now you have -18= 1z
Now you divide. -18 divided by 1 is -18.
So your final answer will be -18=z
Answer:

Step-by-step explanation:
Given:
Number of people to be seated should be greater than 75.
Let
be the number of people. So,

Now, there is a single private chef's table that can seat 3 people.
Tables bought by the owner = 
Number of people seated in 1 table = 4
So, number of persons that can be seated in
tables = 
Now, total number of persons that can be seated in these two types of tables is the sum of 3 and 
Therefore, 
But, 
Hence, the inequality to show the situation is:
