If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(-1)? <br> 1<br>

there are 120 seats in the balcony of theatre .if this 1/5 of the total seats, what's the total number of seats in the theater

natka813 [3]

Answer:

600 seats

Step-by-step explanation:

We know there is 120 seats on a balcony and that is $\frac{1}{5}$ of the total seats, we want to find the total number of seats so,

120 seats = $\frac{1}{5}$

We know that a whole fraction sums to 1 so for example $\frac{1}{5} +\frac{4}{5} =\frac{5}{5} =1$

120 seats = $\frac{1}{5}$

Multiply both sides to make it a whole fraction

600 seats = $\frac{5}{5} =1$

So if there is 120 seats and that number is only $\frac{1}{5}$ of the total number of seats then the total number of seats is 600

3 0

2 years ago

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Between June 2017 and June 2018, the price of gasoline increased by 25%. If the price

WARRIOR [948]

Answer:

$2.4

Step-by-step explanation:

2018 June 2017June

125 100

1 0.75

Therefore, 3= 100x3/125

=300/125

=$2.4

hope it helps:D

plz mark me as brainliest

6 0

2 years ago

Cual es la simplificacion de 72/48

mina [271]

Answer:

3/2 Alli esta ojala que ayude

3 0

2 years ago

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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

2 years ago

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A cake is created by assembling two layers as shown in the diagram below. The exposed surfaces of the cake require frosting.

Hatshy [7]

Answer:

Step-by-step explanation:

352 is the answer

8 0

2 years ago

If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(-1)? 1 - 1 4 5