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Oksi-84 [34.3K]
2 years ago
9

If (44)x = 432, what is the value of xIf (44)x = 432, what is the value of x?

Mathematics
1 answer:
Licemer1 [7]2 years ago
5 0

Answer:

x = 8

Step-by-step explanation:

44x = 432

divide both sides by 44

\frac{44x}{44} = \frac{432}{44}

x = 9.8

since 8 is the closest number, that would be your answer

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Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter
Levart [38]

Answer:

Match each of the trigonometric expressions below with theequivalent non-trigonometric function from the following list.Enter the appropiate letter(A,B, C, D or E)in each blank

A . tan(arcsin(x/8))

B . cos (arsin (x/8))

C. (1/2)sin (2arcsin (x/8))

D . sin ( arctan (x/8))

E. cos (arctan (x/8))

These are the spaces to fill out :

.. ..........x/64 (sqrt(64-x^2))

.............x/sqrt(64+x^2)

.............sqrt(64-x^2)/8

..............x/sqrt(64-x^2)

..............8/sqrt(64+x^2)

A. ........tan(arcsin(x/8))  =......x/sqrt(64-x^2)

B .      cos (arsin (x/8))  ....sqrt(64-x^2)/8

Step-by-step explanation:

To solve this we have to find the missing sides to each of the triange discribed in prenthesis thus

A we have the sides of the triangle given by x, 8 and  \sqrt{8^{2} - x^{2} }or  \sqrt{64 - x^{2} }

thus tan(arcsin(x/8))  = \frac{x}{\sqrt{64 - x^{2} }}  =

Therefore  ........tan(arcsin(x/8))  =......x/sqrt(64-x^2)

B

Here we have cos = adjacent/hypotenuse where adjacent side is \sqrt{64 - x^{2} } and hypothenuse = 8 we have \sqrt{64 - x^{2} }/8

B .      cos (arsin (x/8))  ....sqrt(64-x^2)/8

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2 years ago
In ΔLMN, n = 510 cm, l = 820 cm and ∠M=20°. Find ∠L, to the nearest degree
Dafna11 [192]

The angular measure L is : 47°

<h3>What are angles?</h3>

Angles are formed when two lines meet.

Analysis:

Firstly, we calculate for m using cosine rule.

m^{2} = 510^{2} + 820^{2} -2(510)(820) cos 20

m^{2} = 260100 + 672400 -83600(0.9396)

m^{2} = 146618.56

m = \sqrt{146618.56} = 382.9cm

using sine rule to find ∠L

382.9/sin20 = 820/sinL

sinL = 820sin20/382.9

sinL = 820(0.342)/382.9

sinL = 0.732

L = sin inverse of 0.732 = 47°

In conclusion, ∠L is 47°

Learn more about sine and cosine rule: brainly.com/question/4372174

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The time taken for a journey on a motorway varies inversely as
Westkost [7]

Time that will be taken at speed of 45 miles/hr is 1.8 hrs

Step-by-step explanation:

  • Step 1: Given the speed of the journey = 54 miles/hr and time = 1.5 hours. Find the distance of the journey using the speed formula.

Distance = Speed × Time

               = 54 × 1.5 = 81 miles

  • Step 2: Calculate the time taken for this journey given speed = 45 miles/hr

TIme = Distance/Speed

        = 81/45 = 1.8 hrs

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3 years ago
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