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3 years ago

Will a stand that can hold up to 40 pounds support a 23‐kilogram television Use 2.2 lb = 1 kg.

Mathematics

1 answer:

san4es73 [151]3 years ago

5 0

if 1 kg is 2.2lbs, then 23 kilograms is 2.2(23) lbs, namely 50.6 lbs.

now, the stand can only hold up to 40 lbs, well, you know the rest.

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The value of c is equal to _____.

DENIUS [597]

For this case we have that by definition, the Pythagorean theorem states that:

$c = \sqrt {a ^ 2 + b ^ 2}$

Where:

a, b: Are the legs

c: It is the hypotenuse

According to the figure we have to:

$a = 20\\b = 21$

Substituting in the formula we have:

$c = \sqrt {(20) ^ 2 + (21) ^ 2}\\c = \sqrt {400 + 441}\\c = \sqrt {841}\\c = 29$

Answer:

Option D

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3 years ago

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

3 years ago

Need help please ASAP

aivan3 [116]

Answer:

B.)8ft

Step-by-step explanation:

Set up a proportional to the roof slope:

2/5 = x/20

Cross multiply:

40/5 = 5x/5

x=8ft

7 0

3 years ago

Read 2 more answers

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Lina20 [59]

Answer: This parabola has 0.3875 x-intercepts,
representing the times when the dolphin's height above water is 
0 feet.

The x-intercept is the point where the graph crosses the x-axis, which is when the value is y=0.
The calculation for y=0 would be
Y = -16x2 + 32x - 10
0 = -16x2 + 32x - 10
-8x2 + 16x - 5=0

-b +-√(b^2-4ac) /2a=
-16 +-√(16^2-4(-8)(-5)) /2(-8) =
-16+- √(256-160/ -16 =
-16+- √(96/ -16 =
-16+- 9.8/ -16 =
x1= 0.3875
x2= -1.6125

6 0

3 years ago

Read 2 more answers

after a party, there are parts of three pizzas remaining. There is a 1/5 of a pepperoni pizza remaining, 3/8 of a cheese pizza r

Alona [7]

Answer:

2/5

Step-by-step explanation:

Multiply all the fraction

8 0

3 years ago