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2 years ago

Triangle Q R S is shown. Angle R S Q is a right angle.

Mathematics

2 answers:

denis23 [38]2 years ago

4 0

Answer:

The side opposite ∠Q is RS

The hypotenuse is QR

The side adjacent to ∠Q is QS

Step-by-step explanation:

View attached

DIA [1.3K]2 years ago

4 0

Answer:

The answer on edge is 1,3,5

Step-by-step explanation:

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5. Anthony has 80 pine tree seedlings to plant in his meadow. He first plants one row of 12

inna [77]

D. 16 clusters
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2 years ago

If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal

Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that $2x^2+y^2=17$

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

$4x+2yy'=0$

$2x+yy'=0$

$yy'=-2x$

$y'=-\frac{2x}{y}$

Again differentiate w.r.t.x

Then , we get

$2+(y')^2+yy''=0$ $(u\cdot v)'=u'v+v'u)$

$2+(y')^2+yy''=0$

Using value of y'

$yy''=-2-(-\frac{2x}{y})^2$

$y''=-\frac{2+(-\frac{2x}{y})^2}{y}$

Substitute x=2 and y=3

Then, we get $y''=-\frac{2+(\frac{4}{3})^2}{3}$

$y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}$

Hence,y''=-1.26

6 0

2 years ago

Use synthetic division to solve (x^3 + 1) ÷ (x – 1). What is the quotient?

soldi70 [24.7K]

What are your choices?

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2 years ago

Read 2 more answers

a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the lar

Scorpion4ik [409]

Answer:

The area of larger table is 24 square feet.

Step-by-step explanation:

Given are the length and width of small table

$l_s = 2\ ft\\w_s = 3\ ft$

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table

So the length and width of larger table will be:

$l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet$

The area of larger table will be:

$A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2$

Hence,

The area of larger table is 24 square feet.

7 0

1 year ago

Suppose there is a 20% chance of rain on Monday and a 40% chance of rain on Tuesday. Assuming the weather on successive days is

nadya68 [22]

Answer:

a. 52%

b. 40%

Step-by-step explanation:

Let A represents the event of raining on Monday and B represents the event of raining in Tuesday,

Then according to the question,

P(A) = 20% = 0.2,

P(B) = 40% = 0.4,

Here, A and B are independent events,

So, P(A∩B) = P(A) × P(B),

⇒ P(A∩B) = 0.2 × 0.4 = 0.08

We know that,

P(A∪B) = P(A) + P(B) - P(A∩B)

a. The probability it rains on Monday or Tuesday, P(A∪B) = 0.2 + 0.4 - 0.08

= 0.52

= 52%

b. The conditional probability it rains on Tuesday given that it rained on Monday,

$P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)} = \frac{0.08}{0.2}=0.4 = 40\%$

4 0

2 years ago