A right triangle has an angle that is 90 degrees.
An acute triangle has all three angles less than 90 degrees.
An obtuse triangle has one angle greater than 90 degrees.
Hope that helps.
6 + 4 ÷ 2
The "order of operations" (which you learned a long time ago
if you're in high school now) says that division should be done
before addition.
So do the division: 4 ÷ 2 = 2
Now you have 6 + 2
Now do the addition: 6 + 2 = 8 .
hey! do you have a photo and what subject is this? like i know it's math obviously but i mean like the topic you're doing.
5 inches is bigger than 1/3 foot OR 1/3 foot is lesser than 5 inches. That is, 1/3 foot < 5 inches
4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards
8 yards is equal to 24 feet. That is, 8 yards = 24 feet
<h3>Calculating the value of a quantity </h3>
From the question, we are to determine which of the given quantities are bigger or equal
NOTE: 1 foot = 12 inches
If 1 foot = 12 inches
Then,
1/3 foot = 1/3 × 12
1/3 foot = 4 inches
∴ 5 inches is bigger than 1/3 foot. That is, 1/3 foot < 5 inches
NOTE: 1 mile = 1760 yards
If 1 mile = 1760 yards
Then,
4 miles = 4 ×1760 yards
4 miles = 7040 yards
Hence, 4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards
NOTE: 1 yard = 3 feet
If 1 yard = 3 feet
Then,
8 yards = 8 × 3 feet
8 yards = 24 feet
Hence, 8 yards is equal to 24 feet. That is, 8 yards = 24 feet
Learn more on Calculating the values of quantities here: brainly.com/question/400890
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Answer:
t=2
Step-by-step explanation:
We are given the equation
h = -16t²+36t+1
Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).
Therefore, as 9 is the height, we can plug that into our equation to get
9 = -16t²+36t+1
To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get
-16t²+36t-8=0
To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation
-16t²+32t+4t-8=0
-16t(t-2) + 4(t-2) = 0
(-16t+4)(t-2) = 0
Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0
t-2 = 0
t=2
-16t+4 = 0
-16t = -4
t = 1/4
Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down
