At 4:00 pm, a tree has a shadow of 48 ft and George, who is 6 ft tall, has a shadow of 16 ft. How tall is the tree?

Answer:

144

Step-by-step explanation:

5(9)=45

v=bh

v=(45)(3.2)

v=144

Length of the ladder = 13 m

Foot of the ladder from the wall = 5 m.

The upper end of the ladder is (13^2–5^2)^0.5 = 12 m above the ground.

In 1 second the foot of the ladder is 7 m from the wall, while the top end is (13^2–7^2)^0.5 = (169–49)^0.5 = 120^0.5 = 10.95 m. Then the top moves 1.05 m downwards.

In 2 seconds, the foot of the ladder is 9 m from the wall, while the top end is (13^2–9^2)^0.5 = (169–81)^0.5 = 88^0.5 = 9.38 m. Then the top moves 3.62 m downwards.

In 3 seconds, the foot of the ladder is 11 m from the wall, while the top end is (13^2–11^2)^0.5 = (169–121)^0.5 = 48^0.5 or 6.93 m. Then the top moves 6.07 m downwards.

So, if the foot of the ladder moves at a constant rate of 2 m/s the top end of the ladder moves downwards which varies from second to second.Answer: The lader will form the hypotenuse. Length of hypotenuse = 13m.

Let us take the horizontal distance between the wall and the ladder as ‘ground’. This g = 5m

wall ^ 2 + ground ^ 2 = 13^2 = 169

w^2 + g^2 = 169

w^2 + 25 = 169. Thus, w^2 = 144. Thus, w = 12

Rate of change of ground distance = dg / dt = 2m/s (given).

In the equation w^2 + g^2 = 169, differentiate the equation with respect to time.

2 w dw/dt + 2 g dg/dt = 0

2 (12) (dw/dt) + 2 (5) (2) = 0. So, 24 dw/dt + 20 = 0

dw/dt = -20 / 24 = -5 / 6

Thus, the height of the wall is decreasing at a rate of -5/6 m / s (that is, -0.833m/s)

The minus sign denotes that the height of the ladder is falling.

Step-by-step explanation:

Answer:

D 6

Step-by-step explanation:

substitute in 1 for x

2(1)= 2

2+4= 6

y=6 when x=1

Answer:

C

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

all you have to is divide 150 by 6 and 54 by 6

then you take the answers and look at your possible answers to see if any of them work.

please mark as brainllest

have a very nice week.

Answer:

[tex]y=\frac{1}{2}x+3[/tex]

Step-by-step explanation:

Let y equal the total amount of time spent on homework. Regardless of Shaunda's time spent on homework, represented by x, Zack spends half the time, represented by the 1/2. The additional 3hrs represents the y intercept, making it added on to the 1/2x expression.

If I helped, a brainliest answer would be greatly appreciated!

Answer:

a) 21 √m inches

b) 13√2/2 m

Step-by-step explanation:

a) we want to find the perimeter of an equilateral triangle

An equilateral triangle is one which sides has the same equal length

The perimeter of this triangle is the sum of the lengths of the three sides

Mathematically, we have this as:

7 √m + 7 √m + 7 √m

= 21 √m inches

b) we want to calculate the perimeter of the given rectangle

Mathematically, we can calculate the perimeter of a rectangle using the formula below;

P = 2(l + b)

where l represents the length of the rectangle and b represents the breadth of the rectangle

From the given shape;

l = √50 m, b = 1/2 √32

So, we have the perimeter follows;

2( √32/2 + √50)

= √32 + √50/2

√32 = 4√2

√50 = 5√2

Thus, we have;

4 √2 + 5 √2/2

= (8 √2 + 5 √2)/2 = 13√2/2

Answer:

32

Step-by-step explanation:

180-116=64

64÷2=32

Answer:

46.6%

Step-by-step explanation:

1500 is 100%

700 is x

multiple 700 to 100 the answer is 70000 and divide it by 1500 the percent is 46.6

Answer:

Step-by-step explanation:

Diameter d = 13 meters

Circumference = πd = 3.14 × 13 = 40.82 meters

Answer:

x>0

Step-by-step explanation:

since the circle is white and not blue, it is a normal greater than sign and since the arrow is going to the right it is greater than

Answer:

it would be b because the line is showing that x is greater than zero and there  is no line under the symbol because the dot is not shaded in.

Step-by-step explanation:

Answer:

a run of 6

Explanation:

AB=4 , AC=3

If you create a rise of 8 you doubled the rise of AB [4x2], so you would double the run of AC as well [3x2] = 6

Answer:

Step-by-step explanation:

two points: (0,2) and (-1, -4)

Answer:

a,e and b

Step-by-step explanation:

Answer:

A e and b

Step-by-step explanation:

Answer:

Exactly 1

Step-by-step explanation:

y = 2 x + 1

Answer: the III

Step-by-step explanation: because rectangles are a type of quadrilaterals

Answer:

The answer is Some quadrilaterals are rectangles.

Step-by-step explanation:

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

We are given a circle with the equation:

[tex]x^2+y^2-2x-8=0[/tex]

And we want to select the statements that are true.

First, we can convert the equation into standard form. We can group each variable:

[tex](x^2-2x)+(y^2)=8[/tex]

And complete the square for the first term:

[tex](x^2-2x+1)+(y^2)=8+1[/tex]

Factor and simplify:

[tex](x-1)^2+y^2=9[/tex]

We can rewrite our equation as:

[tex](x-(1))^2+(y-(0))^2=(3)^2[/tex]

So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.

In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

i got it right on edg if right mark as brainliest

Answer:

370.1946711 yard ^2

Step-by-step explanation:

The figure is made out of two shapes, a square and a semicircle.

area of a circle is pi r^{2}

but in this question we have half of the cirlce therefore = 0.5 pi r^{2}

area of square = s * s

that makes the equation:

0.5* pi * (12)^{2} + 12^{2}

= 360.1946711

Answer: A!

Step-by-step explanation:

Answer:

£5333.33333333

Step-by-step explanation:

$16,000 divided by 3 = $5333.33333333

Answer:

Step-by-step explanation:

Kimberlys debt for each company is -

16000/3 = 5333 (each)

Answer:

what grade work is this 8th?

Answer: 60 campers = 8 counselors

90 campers = 12 counselors

180 campers = 24 counselors

Step-by-step explanation: Divide the number of campers by 30 then multiply by 4 because that’s the amount of counselors per 30 campers

Answer:

C is the correct answer.

Step-by-step explanation:

That is the correct one because C has 6 pages, as many has the cuboid has. As we see, the others are different.

Answer:

68257

Step-by-step explanation:

Answer:

1943 is the difference between these two numbers

Answer:

5yd= 15 ft

6yd= 18ft

10 yd= 30 ft

2yd=6ft

13yd=39ft

Step-by-step explanation:

Answer:

g = 1 1/8

Step-by-step explanation:

g/(3/4) = 1 1/2

g = 1 1/2(3/4) = 1 1/8

quadrado de 8 + quadrado de 5 = 64 + 25 = 89

Espero ter ajudado

Answer:

9.43

Step-by-step explanation:

c=a2+b2=82+52≈9.43398

Answer:

Step-by-step explanation:

Tbh I haven’t learned this