1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nutka1998 [239]
3 years ago
7

Find the area of a triangle with a base of 7.5 m and a height of 4*

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0

Answer:

15 units²

Step-by-step explanation:

Hi there!

A=\displaystyle\frac{1}{2} bh where <em>b</em> is the base and <em>h</em> is the height

Plug in the base (7.5) and height (4):

A=\displaystyle\frac{1}{2} (7.5)(4)\\\\A=\displaystyle\frac{1}{2} (30)\\\\A=15

Therefore, the area of the triangle is 15 units².

I hope this helps!

You might be interested in
A prism is completely filled with 96 cubes that have edge length of 1/2 cm.
ch4aika [34]
I know this is kinda late, but...

You can solve this easily as long as you remember how to find the volume of a cube. v=a^3, when a means length. The length is 1/2 cm, or .5 cm.
 So, v+.5^3, which equals .125 cm. Each cube has a that volume. Now, multiply that by how many actual cubes there are, 96.

96 * .125 = 12
8 0
3 years ago
Read 2 more answers
What is the relationship among direct variation,lines,rates of change, and slope?
JulsSmile [24]
A direct variation is a proportional equation. Such as:

For every 3 cookies, linda gets 1 glass of milk. The equation for this is y=3x where y is the glasses and x is the cookies. this is a direct variation. It also has a linear line. Linear means straight. Rate of change and slope are the exact same thing. They are the value of 'm' in y=mx+b
5 0
3 years ago
Answer please. Explanation thank you, you don’t have to explain if you don’t want to. Please answer
Yuki888 [10]
I think the explanation is tha the harangued could be shanty of the Akamai
3 0
3 years ago
I have 4 sides that are the same length but no right angles
Marysya12 [62]

Answer:

Its a rhombus

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
In a single growing season at the smith family orchard, the average yield per apple tree is 150 apples when the number of trees
Mariana [72]

Answer:

100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

Step-by-step explanation:

<u>Functions </u>

Expressing some quantities in terms of other(s) comes in handy to understand the behavior of the situations often modeled by those functions.

Our problem tells us about the smith family orchard, where the average yield per apple tree is 150 apples when the number of trees per acre is 100 (or less). But the average yield per tree decreases when more than 100 trees are planted. The rate of decrease is 1 for each additional tree is planted

Let's call x the number of trees planted per acre in a single growing season. We have two conditions when modeling:  when x is less than 100, the average yield per apple tree (Ay) is (fixed) 150.

Ay(x)=150\ ,\ x\leqslant 100

When x is more than 100:

Ay(x)=150-x\ ,\ 100< x\leqslant 150

The upper limit is 150 because it would mean the Average yield is zero and no apples are to be harvested

Part 1

We are asked what happens if the number of trees per acre was doubled, but we don't know what the original number was. Let's make it x=60

If x=60, then we must use the first function, and

Ay(60)=150

The yield per acre will be 150*60=9000 apples

If we doubled x to 120, we would have to use the second function

Ay(120)=150-x=30

The yield per acre will be 30*120=3600 apples

Note that doubling the number of trees would make the production decrease

If we started with x=30, then  

Ay(30)=150, and we would have 150*30=4500 apples per acre

We already know that for x=60 (the double of 30), our production will be 9000 apples per acre

This shows us that in some cases, increasing the number of trees is beneficial and in other cases, it is not

Part 2

The total yield is computed as

Y(x)=x.Ay(x)

This function will be different depending on the value of x

Y(x)=150x\ ,\ x\leqslant 100

Y(x)=150x-x^2\ ,\ 100< x\leqslant 150

To find the maximum total yield we take the first derivative

Y'(x)=150\ ,\ x\leqslant 100

Y'(x)=150-2x\ ,\ 100< x\leqslant 150

The first expression has no variable, so the total yield must be evaluated in the endpoints

Y(0)=0

Y(100)=15000

Now, the second expression contains variable, it will be set to 0 to find the critical point

150-2x=0

x=75

x is outside of the boundaries, we cannot find the maximum in this interval

Answer: 100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

7 0
3 years ago
Other questions:
  • You find your dependent variable has a high degree of kurtosis. What is the first way to try to fix it?
    13·1 answer
  • What is the answer to 4.55÷5
    5·2 answers
  • How do you get 50.8%of975
    11·2 answers
  • there are 3 seniors for every 2 juniors in the concert choir. if there are 21 seniors in all, how many jurors are in the concert
    5·1 answer
  • There are 10 guests at Alexandra's party. If each guest will be served exactly pint of
    12·1 answer
  • Rose’s grandmother is 89 years old. She can knit mittens somewhere between 13 and 16 hours. If she wants to knit 36 mittens for
    5·2 answers
  • HELP NO DECIMALS!!!!!!!! Please I need this done almost due....
    7·1 answer
  • Can someone help me
    9·1 answer
  • There are three consecutive integers, such that six times the first, minus two times the second, equals the third integer plus f
    6·1 answer
  • Find the measure of side c if a is 5 cm and b is 9 cm in a right triangle
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!