HURRY I NEED HELP PLEASE IM STUCK! :(

Maria is purchasing a car whose MSRP is $22,450. She has asked for an upgrade to a premium package for which the cost is $4000.

N76 [4]

The total price of the vehicle would be $20,150

4 0

3 years ago

The formula V = πd2h 8 is used to find the volume of a parabolic cone. In the formula "d" represents the diameter of the cone an

ankoles [38]

Answer:

V = 54π cm³ ⇒ answer (C)

Step-by-step explanation:

∵ V = (πd²h)/8

∵ d = 6 cm

∵ h = 12 cm

∴ V = (π × 6² × 12) ÷ 8 = 54π cm³

5 0

3 years ago

point b on the ground is 5 cm from point E at the entrance to Ollie's house. He is 1.8 m tall and is standing at Point D, below

enot [183]

Point B on the ground is 5 cm from point E at the entrance to Ollie's house.

Ollie is at a distance of 2.45 m from the entrance to his house when he first activates the sensor.

The complete question is as follows:

Ollie has installed security lights on the side of his house that is activated by a sensor. The sensor is located at point C directly above point D. The area covered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m, and the distance from B to C is 6m. Angle ACB is 15°.

The objective of this information is:

To find angle CAB and;
Find the distance Ollie is from the entrance to his house when he first activates the sensor.

The diagrammatic representation of the information given is shown in the image attached below.

Using cosine rule to determine angle CAB, we have:

$\mathbf{\dfrac{AB}{Sin \hat {ACB}} = \dfrac{BC}{Sin \hat {CAB}}= \dfrac{CA}{Sin \hat {ABC}}}$

Here:

$\mathbf{\dfrac{AB}{Sin \hat {ACB}} = \dfrac{BC}{Sin \hat {CAB}}}$

$\mathbf{\dfrac{4.5}{Sin \hat {15^0}} = \dfrac{6}{Sin \hat {CAB}}}$

$\mathbf{Sin \hat {CAB} = \dfrac{Sin 15 \times 6}{4.5}}$

$\mathbf{Sin \hat {CAB} = \dfrac{0.2588 \times 6}{4.5}}$

$\mathbf{Sin \hat {CAB} = 0.3451}$

∠CAB = Sin⁻¹ (0.3451)

∠CAB = 20.19⁰

From the diagram attached;

assuming we have an imaginary position at the base of Ollie Standing point called point F when Ollie first activates the sensor;

Then, we can say:

∠CBD = ∠GBF

∠GBF = (CAB + ACB)

(because the exterior angles of a Δ is the sum of the two interior angles.

∠GBF = 15° + 20.19°

∠GBF = 35.19°

Using the trigonometric function for the tangent of an angle.

$\mathbf{Tan \theta = \dfrac{GF}{BF}}$

$\mathbf{Tan \ 35.19 = \dfrac{1.8 \ m }{BF}}$

$\mathbf{BF = \dfrac{1.8 \ m }{Tan \ 35.19}}$

$\mathbf{BF = \dfrac{1.8 \ m }{0.7052}}$

BF = 2.55 m

Finally, the distance of Ollie║FE║ from the entrance of his bouse is:

= 5 - 2.55 m

= 2.45 m

Therefore, we can conclude that Ollie is at a distance of 2.45 m from the entrance to his house when he first activates the sensor.

Learn more about exterior angles here:

8 0

2 years ago

a scientist notes that the number of bacteria in a colony is 50.3, hours later she notes that the number of bacteria has increas

Yuri [45]

The time it would take for the bacteria to reach 1119 is 5.83 hours

<h3>Calculations and Parameters:</h3>

Given the function:

$Pt= P_0e^k^t$

Initial amount= 50
amount after 3 hours= 80

To find the exponential growth;

80 = $50e^k^*^3$

$k= 1.6/3\\k= 0.533$

If there is a constant growth, then to get to 1119:

1119= $50e^0^.^5^3^3^*t$

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

Read more about exponential growth here:

brainly.com/question/2456547

#SPJ1

6 0

1 year ago

What is the value of x to the nearest tenth?

Nezavi [6.7K]

Step-by-step explanation:

Hello!!!

Let's workout with this figure.

BC is a chord, O is the centre and OA is the perpendicular bisector.

AB = 1/2 of BC (according to circle's theorem)

so, A B = 1/2 × 25.6

Therefore, the measure of AB is 12.8.

now, let's have a small work with triangle AOB.

as it is a Right angled triangle, taking angle B as refrence angle we get,

p=x

b=12.8

h= OB = 16 (it is also a radius.)

now, 

by Pythagoras relation we get, 

 $p = \sqrt{ {h}^{2} - {b}^{2} }$ 

or, x = root 16^2- 12.8 ^2

by simplification, we get;

the measure of x is 9.6.

Therefore, the value of x is 9.6.

Hope it helps...

8 0

3 years ago