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3 years ago

Could 17 25 and 36 be a right triangle

Mathematics

1 answer:

marusya05 [52]3 years ago

7 0

Answer:

No b/c the hypotenuse is too long

Step-by-step explanation:

17² + 25² = 36²

289 + 625 = 1296

914 ≠ 1296

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Jasmine correctly determined the area of this parallelogram by adding the areas of the triangles and rectangle.

babymother [125]

Answer:

112

Step-by-step explanation:

Area of a triangle = 1/2 x base x width

⇒ area of each triangle = 1/2 x 5 x 8 = 20 m²

Area of rectangle = width x length

⇒ area of the rectangle = 8 x 9 = 72 m²

Total area = (2 x 20) + 72 = 112 m²

5 0

2 years ago

A tank holds 300 gallons of water and 100 pounds of salt. A saline solution with concentration 1 lb salt/gal is added at a rate

Shkiper50 [21]

The amount of salt in the tank changes with rate according to

$Q'(t)=\left(1\dfrac{\rm lb}{\rm gal}\right)\left(4\dfrac{\rm gal}{\rm min}\right)-\left(\dfrac{Q(t)}{300+(4-1)t}\dfrac{\rm lb}{\rm gal}\right)\left(1\dfrac{\rm gal}{\rm min}\right)$

$\implies Q'+\dfrac Q{300+3t}=4$

which is a linear ODE in $Q(t)$ . Multiplying both sides by $(300+3t)^{1/3}$ gives

$(300+3t)^{1/3}Q'+(300+3t)^{-2/3}Q=4(300+3t)^{1/3}$

so that the left side condenses into the derivative of a product,

$\big((300+3t)^{1/3}Q\big)'=4(300+3t)^{1/3}$

Integrate both sides and solve for $Q(t)$ to get

$(300+3t)^{1/3}Q=(300+3t)^{4/3}+C$

$\implies Q(t)=300+3t+C(300+3t)^{-1/3}$

Given that $Q(0)=100$ , we find

$100=300+C\cdot300^{-1/3}\implies C=-200\cdot300^{1/3}$

and we get the particular solution

$Q(t)=300+3t-200\cdot300^{1/3}(300+3t)^{-1/3}$

$\boxed{Q(t)=300+3t-2\cdot100^{4/3}(100+t)^{-1/3}}$

5 0

3 years ago

All sides of quadrilateral ABCD ABCD A, B, C, D are tangent to circle PPP. What is the perimeter of the quadrilateral below?

noname [10]

Answer:

The answer is below

Step-by-step explanation:

A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.

The two tangent theorem states that tangent that meet at the same point are equal in length.

Therefore:

CD = c + d

but c = 5.1, hence:

CD = 5.1 + d

12.1 = 5.1 + d

d = 7

AD = a + d; but AD = 12.2, d = 7

12.2 = a + 7

a = 5.2

AB = a + b; but b = 3.3

AB = 5.2 + 3.3 = 8.5

BC = b + c = 3.3 + 5.1 = 8.4

Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2

4 0

3 years ago

Charra [1.4K]

Answer:

a b c d e the a;lfebet

Step-by-step explanation:

8 0

3 years ago

I need help with this problem

blondinia [14]

Answer:

$1200

Step-by-step explanation:

First step add 25% and 15%, which equals 40%

Then subtract 40% and 2000, then you should get your answer of $1200

8 0

3 years ago