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3 years ago

3.01)Which statement best describes the area of the triangle shown below?

Mathematics

1 answer:

dem82 [27]3 years ago

3 0

Answer:

C. It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

<em>Hey there!</em>

Well if a square has side lengths of 4 units,

the area would be 16 because of l*w.

Now the formula for the area of a triangle is,

b*h/2

b = 4

h = 4

4*4=16

16 ÷ 2 = 8

So the area of a square is 16 units^2 whereas the area of a triangle with the same dimensions is 8 units^2,

meaning the area of a triangle is one-half the area of a square.

<em>Hope this helps :)</em>

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If C = t - 5 and B = t^2 + 2, find an expression that equals 2C + 2B in standard<br> form.

adell [148]

Answer:

t² + t - 3 = 0

Step-by-step explanation:

C = t - 5

B = t² - 2

2C + 2B

= 2(t - 5) + 2(t² + 2)

= 2t - 10 + 2t² + 4

= 2t² + 2t - 6

=> t² + t - 3 = 0

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2 years ago

In the warehouse there is a stack of 7 crates. Each crate is 102/3 inches high. How many inches high is the stack

pickupchik [31]

Answer:

The stack is $\frac{224}{3}$ inches high.

Step-by-step explanation:

Given date:-

A stack of 7 crates means

1 stack=7 crates

Total number of crate=7

Height of 1 crate = $10\frac{2}{3}\ inches$

Height of 1 crate = $\frac{30+2}{3}$ inches

Height of 1 crate = $\frac{32}{3}$ inches

To find height of stack=?

Now,

Height of a stack = Height of 1 crate $\times$ Total number of crates

Height of a stack = $\frac{32}{3}\times7$

Height of a stack = $\frac{32\times7}{3}$

Height of stack = $\frac{224}{3}$ inches

Therefore the stack is $\frac{224}{3}$ inches high.

6 0

3 years ago

A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in we

Pavel [41]

Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

$\frac{dP}{dt} = 1.5P$

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the initial population and the population one week later, the rate of growth is given by:

k = 9/6 = 1.5.

The standard differential equation for population growth is:

$\frac{dP}{dt} = kP$

Hence:

$\frac{dP}{dt} = 1.5P$

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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2 years ago

Please help this is my last one

stiks02 [169]

Answer:

(4,1)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

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3 years ago

What are the solutions to the system of equations graphed below?

PIT_PIT [208]

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where the graphs intersect

The graphs intersect at (-3,-3) and at (0,6)

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3 years ago