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raketka [301]
3 years ago
14

Construct a right triangle whose perimeter is equal to 10cm and one acute angle is 60°

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0
How can we help you with this?
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Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind
Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0
3 years ago
Janine inflated a ball to a radius of 18cm and another ball to a radius of 12cm. How much greater was the volume of the air in t
bagirrra123 [75]

Answer:

17,182.08 cm³

Step-by-step explanation:


6 0
3 years ago
In JKL. solve for x <br><br> 66.73<br> 74.89<br> 15.44<br> 38.16
liq [111]
By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.

Thus, \displaystyle{\sin27^{\circ}= \frac{34}{x}


\sin27^{\circ} is a constant which can be found using a calculator:

with calc in pc: view → scientific → 27→sin = 0.45399, 

thus x=34/0.45399=74.89


Answer: 74.89
5 0
3 years ago
Afton made a chicken dish for dinner she added a 10 ounce package of vegetables and a 14 ounces package of rice to 40 ounces of
choli [55]

64 oz.

14+10=24

40+24=64

3 0
3 years ago
Read 2 more answers
Image attached: some sort of triangle stuff
Drupady [299]

Answer:

C

Step-by-step explanation:

On edg 2020

8 0
3 years ago
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