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3 years ago

Use rounding or compatible numbers to estimate the difference 192-78

Mathematics

1 answer:

pogonyaev3 years ago

5 0

The answer would be 110

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Triangles IJK and LMN are similar. Find y using proportions. Explain and show all your steps.

Deffense [45]

Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:

IJ/ML = JK/MN = IK/LN

where:

IJ = x

JK = 54

IK = y

MN = 42

ML = 28

NL = 35

In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow

JK/MN = IK/LN replace by the values

54/42 = y/35 multiply both sides by 35

(54/42)(35) = y

45 = y

Hence, y = 45

4 0

1 year ago

Please help me if you can ‼️

Karolina [17]

Answer:

$y=14.5x+5$

Step-by-step explanation:

Let

x ----> the number of tickets

y ----> the price of tickets

we have the ordered pairs

(4,63) and (6,92)

step 1

<em>Find the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{92-63}{6-4}$

$m=\frac{29}{2}=\$14.5\ per\ ticket$

step 2

Find the y-intercept or initial value of the linear equation

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope b is the y-intercept

we have

$m=14.5$

$point\ (4,63)$

substitute

$63=14.5(4)+b$

solve for b

$b=63-14.5(4)$

$b=\$5$

In this context the y-intercept is a one charge fee for the ticket service

The equation is equal to

$y=14.5x+5$

4 0

3 years ago

Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ

Anit [1.1K]

Double angle identity for sine:

$\sin(2x) = 2 \sin(x) \cos(x)$

$\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)$

Factorize the left side.

$2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)$

Pythagorean identity:

$\cos^2(x) + \sin^2(x) = 1$

$\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)$

so that

$\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}$

8 0

1 year ago

Find the value of k such that the polynomial x2

Sedaia [141]

Answer:

Step-by-step explanation:

https://www.toppr.com/ask/question/find-the-value-of-k-such-that-the-polynomial-x2k6x22k1/

7 0

3 years ago

Help quick pleaseeee

ehidna [41]

Answer:

x= 3.096

Step-by-step explanation:

divide both sides by 5: 3^(x-1)= 10

then take the log to get log_3 (10) = x-1 = 2.096

x= 3.096

4 0

2 years ago