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miskamm [114]
3 years ago
14

Altitude in general the air temperature decreases 10 F for every 4,000 feet increase in altitude. If a hiker climbs 3,000 feet,

by how much can she expect the temperature to decrease
Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
The temperature will decrease by 7.5 F
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A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The roc
KonstantinChe [14]

Step-by-step explanation:

g(x)= -16x² + 72x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 72(2) + 80

-16(4)+128+80

-72+128+80

= 136

4 0
2 years ago
PLEASE HELP!!! here are two different strategies to find the new price of a hat after a discount of 40%. The hat was originally
Yakvenalex [24]

Answer:

Step-by-step explanation:

Method 1: Calculate 40% discount on original price, then subtract discount from original price.

Amount of discount = 40% of $30

= 0.40 × $30

= $12

New price = $30 - $12 = $18

Method 2:

New price = (100% - discount percentage) of original price

= 60% of original price

= 0.60 × $30

= $18

6 0
3 years ago
If 4 raffle tickets is 6 dollars how much is 1 raffle ticket
sertanlavr [38]
4/6 = 1/x cross multiple so x= 1.5 dollars
8 0
3 years ago
Find each product mentally. show the steps you used.7 × 2.9
JulijaS [17]
Answer is 20.3 and the steps are:
1.) 7 x 9 = 63 move the six over the 2 leave the 3 down
2.) 7 x 2 = 14
3.) 14 + 6 = 20
4.) you have 203 but must bring the decimal down and it makes it: 20.3
I hope I helped and if you're confused please ask questions
6 0
3 years ago
Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Mice21 [21]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

Also

m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ} (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

So,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

3 0
3 years ago
Read 2 more answers
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