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4 years ago

Can you draw an isosceles triangle with only one 80 degree angle?

Mathematics

1 answer:

aev [14]4 years ago

6 0

Answer:

The triangle is 50,50 80

Step-by-step explanation:

The three angles of a triangle equal 180 degrees

We only want one 80 degree angle. That means the other two angles have to be the same, since it is an isosceles triangle. Call the other angle x

x+x+80 = 180

2x+80 =180

Subtract 80 from each side

2x+80-80=180-80

2x =100

Divide by 2

2x/2=100/2

x = 50

Each of the other angles in the triangle would have to equal 50 degrees

The triangle is 50,50 80

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1 <----> 7 10<----> ? 8 <----> ? 3 <----> ?

Llana [10]

Answer:

Step-by-step explanation:

The paint will not fill the tray by 5.22 in3.

5 0

3 years ago

Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the following

bazaltina [42]

Answer:

16 years.

Step-by-step explanation:

Please consider the complete question.

Assume that the suburb has a population of 686,000 and is growing at a rate of 4000 per year. Assume that the city has a population of 942,000 and is declining at a rate of 12000 per year. In how many years will the populations of the suburb and the city be equal?

Let x represent number of years.

Growth function would be $G(x)=4000x+686,000$ and decline function would be $D(x)=942,000-12,000x$ .

To find the time when both populations will be equal, we will equate both functions as:

$4000x+686,000=942,000-12,000x$

$4000x+12,000x+686,000=942,000$

$16,000x+686,000=942,000$

$16,000x=942,000-686,000$

$16,000x=256,000$

$\frac{16,000x}{16,000}=\frac{256,000}{16,000}$

$x=16$

Therefore, in 16 years the populations of the suburb and the city will be equal.

6 0

3 years ago

Simplify the following expression : (2x + 7y) (x – 3y) – (9x + 4) (3x - 2)

Dmitriy789 [7]

-25x^2+xy-21y^2+6x+8

8 0

3 years ago

The expression -4.9t^2+50t + 2 represents the height, in meters, of a toy rocket t seconds after launch. The initial height of t

Kamila [148]

We have that

H(t)=-4.9t²+50t + 2

we know that
The initial height of the rocket, in meters is for t=0 sec
fot t=0
H(t)=-4.9*0²+50*0 + 2------> H(t)=2 m

the answer is
The initial height of the rocket is 2 m

4 0

3 years ago

Britta bought some carrots and apples for $24.80. A carrot and an apple cost .90 cents all together. She bought more carrots tha

MrRissso [65]

Answer:

Step-by-step explanation:

24.80-6.80=$18 that's what Britta spent on equal number of carrots and apples because $6.80 was spent on extra carrots only.

18/ .90=20 that means she got 20 apples and 20 carrots before she added $6.80 to buy some extra carrots

Thus, the number of apples Britta bought = 20

7 0

3 years ago