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Illusion [34]
2 years ago
6

A triangle has an area of 40.2 square feet and a base of 12 feet. What is the height?

Mathematics
2 answers:
Gnoma [55]2 years ago
8 0

Answer:

6.7 ft

Step-by-step explanation:

formula for triangle area: bxh(1/2)=A

12xh<u>(1/2)</u>=<u>40.2</u>

<u>12</u> x h=<u>80.4</u>

h=6.7

N76 [4]2 years ago
7 0

The answer is: hb=6.7ft

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A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the d
Sloan [31]

Answer:

D) Quadratic

Step-by-step explanation:

A function is graphed on a coordinate grid.

  • As the domain values approach infinity, the range values approach infinity.

       Domain: If x\rightarrow \infty then

       Range: y\rightarrow \infty

  • As the domain values negative infinity, the range values approach infinity.

       Domain: If x\rightarrow -\infty then

       Range: y\rightarrow \infty

We need to choose correct option which follows given domain and range.

Only quadratic function will follow the rule because it has even degree polynomial.

Quadratic function: f(x)=ax^2+bx+c

Degree = 2 and leading coefficient is positive.

Domain: x\belong (-\infty,\infty)

Range: y\belong (b,\infty)

Hence, D is correct option.

4 0
3 years ago
Read 2 more answers
Please help with math
MAXImum [283]
The last one is correct
6 0
3 years ago
I dont know what a complementary angle is, can someone help me with this quistion please?
Allisa [31]

Answer:

A, complementary angles sum up to 90°

8 0
3 years ago
After releasing of radioactive material into.The atnosphere from.A nuclear.Powe plant in a country in 1988, the hay in that coun
Radda [10]

Answer:

the question is incomplete, so I looked for a similar one:

<em>After the release of radioactive material into the atmosphere  from a nuclear power plant, the hay was contaminated by iodine  131 ( half-life, 8 days). If it is all right to feed the hay to cows  when 10% of the iodine 131 remains, how long did the farmers  need to wait to use this hay? </em>

iodine's half life (we are given x, we need to find b):

0.5A₀ = A₀eᵇˣ

x = 8 days

we eliminate A₀ from both sides

0.5 = eᵇ⁸

ln 0.5 = ln eᵇ⁸

-0.69315 = b8

b = -0.69315 / 8 = -0.08664

since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):

0.1A₀ = A₀eᵇˣ

0.1 = eᵇˣ

ln 0.1 = bx

where b = -0.08664

x = ln 0.1 / -0.08664  = -2.302585 / -0.08664  = 26.58 days

4 0
2 years ago
The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\&#10;x^2+5x=204 \\&#10;x^2+5x-204=0 \\&#10;x^2+17x-12x-204=0 \\&#10;x(x+17)-12(x+17)=0 \\&#10;(x-12)(x+17)=0 \\&#10;x-12=0 \ \lor \ x+17=0 \\&#10;x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\&#10;\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
2 years ago
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