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3 years ago

X/72 = 135/90 what is x?

1 answer:

5 0

Hey! I'll provide the steps required.

First, solved the proportion by cross multiplication.

$X(90) = (135)(72)$

Then use the commutative property to reorder the terms as well as multiply the numbers.

90x = 9720

Finally, divide it by 90.

x = 108

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Y=|x−3|+|x+2|−|x−5|, if x<−2

nalin [4]

Answer: -x

Step-by-step explanation:

y=3-x+2-x-(5-x)=5-2x-5+x=-x

8 0

4 years ago

Which equation has no solution? A. 5m-6=5m+7-m B.3w+4-w=5w-2(w-2) C. 7y+9=7y-6 D. 4z+8=-4z-2

Mila [183]

The answer is c!!!!!!!!!!!!!!!!!!

4 0

4 years ago

If sin Q = 4/5, cos P + cos Q

kolbaska11 [484]

The value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know that:

P + Q are complementary, which means that

P+Q = 90°

Then R is a right angle, i.e. it measures 90°.

sin(90-x) = cos (x)

cos(90-x) = sin (x)

Then sinQ = 4/5

cos(90-Q) = cosP = 4/5

Now sin²(P) + cos²(P) = 1

sin²(P) = 1 - cos²(P)

sin²(P) = 1 -[4/5]² =9/25

sin(P) = 3/5

cos(Q) = sin(P) = 3/5

cos(P) + cos(Q) = 4/5 + 3/5 = 7/5

Thus, the value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

5 0

2 years ago

In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2010, Haiti also experienced a

serg [7]

Answer:

The intensity of the earthquake in Chile was about 16 times the intensity of the earthquake in Haiti.

Step-by-step explanation:

Given:

magnitude of earthquake in Chile = 8.2

magnitude of earthquake in Haiti = 7.0

To find:

Compare the intensities of the two earthquakes

Solution:

The magnitude R of earthquake is measured by R = log I

R is basically the magnitude on Richter scale

I is the intensity of shock wave

For Chile:

given magnitude R of earthquake in Chile = 8.2

R = log I

8.2 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

8.2 = log I becomes:

$I = 10^{8.2}$

So the intensity of the earthquake in Chile:

$I_{Chile} = 10^{8.2}$

For Haiti:

R = log I

7.0 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

7.0 = log I becomes:

$I = 10^{7.0}$

So the intensity of the earthquake in Haiti:

$I_{Haiti} = 10^{7}$

Compare the two intensities :

$\frac{I_{Chile} }{I_{Haiti} } }$

$= \frac{10^{8.2} }{10^{7} }$

= $10^{8.2-7.0}$

= $10^{1.2}$

= 15.848932

Round to the nearest whole number:

Hence former earthquake was 16 times as intense as the latter earthquake.

Another way to compare intensities:

Find the ratio of the intensities i.e. $\frac{I_{Chile} }{I_{Haiti} } }$

$log I_{Chile}$ - $log I_{Haiti}$ = 8.2 - 7.0

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

Convert this logarithmic equation to an exponential equation

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

$10^{1.2}$ = $\frac{I_{Chile} }{I_{Haiti} } }$

Hence

$\frac{I_{Chile} }{I_{Haiti} } }$ = 16

6 0

3 years ago

Describe how the graph of y = 2x is the same and different from the graph of y = 2x-7. Explain or show your reasoning.

Aleks [24]

The graph of y = 2x and y = 2x - 7 are similar because they both have the same parent graph of y = 2x.

They are different because y=2x-7 has a y intercept of (0,-7)

7 0

3 years ago

Read 2 more answers