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3 years ago

I really need help:(

Mathematics

1 answer:

stiv31 [10]3 years ago

8 0

Answer: the height of the building is 40ft

Step-by-step explanation:

Looking at the right angle triangle formed,

With angle P as the reference angle, the length shadow of the building on ground represents the adjacent side of the right angle triangle.

The height of the building represents the opposite side of the right angle triangle.

a) to determine the height of the building, x, we would apply the tangent trigonometric ratio which is expressed as

Tan θ, = opposite side/adjacent side. Therefore, the equation becomes

Tan P = x/50

b) 0.8 = x/50

x = 50 × 0.8

x = 40 ft

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Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help s

Viktor [21]

Answer:

1. Translate circle A using the rule (x − 3, y + 4).

4. Dilate circle A by a scale factor of 5

Step-by-step explanation:

we know that

All circles are similar figures

step 1

Translate the center of circle A to the center of circle B

we have

A(2,8) -----> B(5,4)

The rule of the translation is

(x,y) ----> (x+a,y+b)

(2,8) ----> (2+a,8+b)

2+a=5 ----> a=5-2=3

8+b=4 ---> b=4-8=-4

therefore

The rule of the translation is

(x,y) ----> (x+3,y-4)

step 2

Divide the radius of circle B to the radius of circle A to find out the scale factor

10/2=5

Multiply the radius of circle A by the scale factor to obtain the radius of circle B

therefore

Dilate circle A by a scale factor of 5

3 0

3 years ago

A bacterial culture grows exponentially according to the function n(t)=n(e^n), where n(t) is the quantity after t hours and n is

mart [117]

Answer:

$n(t=2) = 2 e^{1.386294361(2)}=32 grams$

So then after 2 hours we will have 32 grams.

Step-by-step explanation:

For this case we have the followin exponential model:

$n(t) = n e^{rt}$

n(t) is the quantity after t hours, n is the original quantityand t represent the hours and r the rate constant.

For this case we know that n(0) = 2 grams and n(3) = 128 grams and we want to find n(2)=?

From the initial condition we know that n = 2, and we have the model like this:

$n(t) = 2 e^{rt}$

Now if we apply the other conditionn(3) = 128 we got:

$128 = 2 e^{3r}$

If we divide both sides by 2 we got:

$64= e^{3r}$

If we apply natural log for both sides we got:

$ln(64) = 3r$

$r = \frac{ln(64)}{3}=1.386294361$

And our model is this one:

$n(t) = 2 e^{1.386294361t}$

And if we replace t = 2 hours we got:

$n(t=2) = 2 e^{1.386294361(2)}=32 grams$

So then after 2 hours we will have 32 grams.

5 0

3 years ago

I need the base and hight

iris [78.8K]

Answer:

Height = 5 and Base = 10

Step-by-step explanation:

The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².

Formula for area of parallelogram = base × height

Base = 2h

Height = h

∴ Area = 2h × h = 50

Solution:

2h × h = 50

2h² = 50

$\frac{2h^{2} }{2} = \frac{50}{2}$

h² = 25

$\sqrt{h^{2} } = \sqrt{25}$

h = 5

∴ height = 5 and base = 2(5) = 10

4 0

3 years ago

How to factorise it?

Elanso [62]

1/4x3-1/4x75p^2

3/4-75/4p^2

7 0

3 years ago

6x - 5 (4y - 3x) + 4y

vazorg [7]

Answer:

6x -5 (4y -3x) + 4y

6x -20y + 18x + 4y

24x - 16y

Step-by-step explanation:

5 0

3 years ago