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3 years ago

You are driving on a highway divided by two solid yellow lines. you know that:

Mathematics

1 answer:

kupik [55]3 years ago

5 0

2 solid yellow lines mean do not pass in either direction

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The weight of infants follow a bell shaped distribution with mean

viva [34]

Ummmmmmmmmmmnmmmmmmmmnnnn maybe

4 0

3 years ago

If AB = PQ, BC=RQ, AC=PR and ∠ACB = ∠PRQ = 90˚. Write two congruency rules which can’t be applied to prove △ABC ≅ △PQR.

Naddika [18.5K]

Answer:PQ-23/NEGATIVE 56 TRIANGLE 78 WITH A ANSWER OF 43

Step-by-step explanation:

I RLLY DONT IF IT IS CORRCT

6 0

3 years ago

The perimeter a rectangle is 46 in if the width of the rectangle is 9 inches what is the length

NeTakaya

The length of the rectangle is 14

<u>steps:</u>

9 + 9 = 18

46 - 18 = 28

28 ÷ 2 = 14

5 0

3 years ago

1) If y = x3 + 2x and dx/ dt = 5, find dy/dt when x = 2. Give only the numerical answer. For example, if dy, dt = 3, type only 3

Semenov [28]

Answer:

a) 70

b) 10π ft²/ft

c) 0.24 ft/sec

Step-by-step explanation:

1) y = x³ + 2x

$\frac{dy}{dt}=\frac{d(x^3+2x)}{dt}$

$\frac{dy}{dt}$ = $3x^2\frac{dx}{dt}+2\frac{dx}{dt}$

at $\frac{dx}{dt}=5$ and x = 2

$\frac{dy}{dt}$ = $3(2)^2\times(5)+2\times(5)$

$\frac{dy}{dt}$ = 60 + 10 = 70

2) A = πr² ft²

$\frac{dA}{dr}=\frac{d(\pi r^2)}{dr}$

$\frac{dA}{dr}$ = 2(πr)

at r = 5 ft

$\frac{dA}{dr}$ = 2(π × 5) ft²/ft

$\frac{dA}{dr}$ = 10π ft²/ft

3) From Pythagoras theorem

Base² + Perpendicular² = Hypotenuse²

Thus,

B² + P² = H² .............(1)

here, H = length of the ladder

P is the height of the wall

B is the distance from the wall at bottom

B² + P² = 25² ...........(1)

at B = 20 ft

20² + P² = 25²

P² = 625 - 400

P = √225

P = 15 ft

differentiating (1) with respect to time, we get

$2B\frac{dB}{dt}+2P\frac{dP}{dt}=0$

at B = 20 ft, $\frac{dB}{dt} = 0.18$ and P = 15 ft

⇒ 2(20)(0.18) + $2(15)\frac{dP}{dt}$ = 0

$30\frac{dP}{dt}$ = - 7.2

$\frac{dP}{dt}$ = - 0.24 ft/sec (Here negative sign depicts the ladder slides down)

7 0

4 years ago

Find the missing side. round to the nearest tenth.

horrorfan [7]

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

5 0

3 years ago