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Paul [167]
3 years ago
10

A rocket is launched from the top of a 99-foot cliff with an initial velocity of 122 ft/s. a. Substitute the values into the ver

tical motion formula h = –16t2 + vt + c. Let h = 0. b. Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
Mathematics
1 answer:
jasenka [17]3 years ago
3 0
I think it'd be 9 seconds, not 100% sure though.
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I need help with 5-11
Damm [24]

Step-by-step explanation:

5.

in an equilateral triangle all 3 sides are equally long. but that also means that all 3 angles are equal. and as the sum of all angles in a triangle has to be 180°, that means that each of the 3 Angie's is 180/3 = 60°.

so, KML = 60°.

6.

HMK = 50°, KML = 60°.

all angles around M on one side of the line LG must have 180° in total too.

so,

HMG = 180 - 50 - 60 = 70°

7.

since GHM is isoceles (GH and MH are equal), it means also that the angles at M and at G must be equal.

HMG = 70°

therefore, HGM = 70°

again, the sum of all angles in a triangle must be 180°, so

GHM = 180 - 70 - 70 = 40°.

8.

again, in an isoceles triangle also the 2 "bottom" angles are equal. and together with the 180 sum rule we get

MHJ = (180 - 145)/2 = 35/2 = 17.5°.

9.

if now the angle at G is 67°, then again, the angle at M must be equal (67°). and then again based on the 180 rule we get

GHM = 180 - 67 - 67 = 46°.

10.

since the 2 angles "at the bottom" are equal, it means ADE is an isoceles triangle.

since BC is parallel to DE, it means that ADE and ABC are similar triangles. and that means the corresponding angles are the same. and that means that the angles 3 and 4 are equal, and therefore ABC is an isoceles triangle. and that means that both legs AB and AC are equal.

11.

again, in an isoceles triangle the 2 base angles are equal. and together with the usual 180 rule that means

base angle = (180 - 18)/2 = 162/2 = 81°.

3 0
2 years ago
4) (Assume AR is tangent)<br>Given: AR 12<br>SR - 7.7<br>Find: cs (Round to nearest tenth.)​
andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

AR^2=SR\times RC

Rewriting the above equation, we get,

AR^2=SR(SR+SC)

Substituting the values, we get,

12^2=7.7(7.7+CS)

Simplifying, we have,

144=59.29+7.7CS

Subtracting both sides by 59.29, we get,

84.71=7.7CS

Dividing both sides by 7.7, we have,

11.0013=CS

Rounding off to the nearest tenth, we get,

11.0=CS

Thus, the length of CS is 11.0

6 0
3 years ago
PLEASE HELP! I REALLY NEED HELP!!!
Brums [2.3K]

Answer:

on which one?

5 0
3 years ago
Sinθ/cosθtanθ=1<br>how is this identity true?​
Yakvenalex [24]

Answer:

This is actually not an identity.

7 0
2 years ago
64 POINTS
Mekhanik [1.2K]
L(t)=9-0.5t   
t=time in hours,
L(t)=length of candle at time t

(A) substitute t=1,2,3,4,5,6 respectively to get
(1,8.5)
(2,8)
(3,7.5)
(4,7)
(5,6.5)
(6,6)

(B) it is a function because none of the x-values duplicate, (nor the y-values).

(C) If the rate changes to 0.45 "/hr, the relation is still linear.
All linear function with finite slope are functions.

7 0
3 years ago
Read 2 more answers
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