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4 years ago

What’s the answer to 7^3x=54

Mathematics

1 answer:

HACTEHA [7]4 years ago

5 0

Answer:

x = 54/343

Step-by-step explanation:

$7^3x=54\\\rightarrow 7^3 = 343\rightarrow \text {Solve Exponents} \\343x=54\\\frac{343x}{343} =\frac{54}{343}\\x =\frac{54}{343}$

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Please help me! I will give brainliest to the person who answers correctly.

Sveta_85 [38]

Answer:

sin(X) = 6/7.5
XY = 4.5
cos(X) = 4.5/7.5
tan(X) = 6/4.5

Step-by-step explanation:

It is convenient to use the Pythagorean theorem to find XY to start with. That theorem tells you ...

XZ² = YZ² + XY²

Solving for XY, you find ...

XY² = XZ² - YZ²

XY = √(XZ² - YZ²) = √(7.5² -6²) = √(56.25 -36) = √20.25

XY = 4.5

The mnemonic SOH CAH TOA is very helpful here. It reminds you that ...

Sin = Opposite/Hypotenuse

sin(X) = 6/7.5

Cos = Adjacent/Hypotenuse

cos(X) = 4.5/7.5

Tan = Opposite/Adjacent

tan(X) = 6/4.5

_____

<em>Comment on the triangle and ratios</em>

The side lengths of this triangle are in the ratios ...

XY : YZ : XZ = 3 : 4 : 5

If you recognize that the given sides are in the ratio 4 : 5, this tells you that you have a "3-4-5" right triangle with a scale factor of 1.5. At least, you can find XY = 1.5·3 = 4.5 with no further trouble.

The trig ratios could be reduced to sin(X) = 4/5; cos(X) = 3/5; tan(X) = 4/3, but the wording "don't simplify" suggests you want the numbers shown on the diagram, not their reduced ratios.

3 0

4 years ago

If a 50-inch flat-screen now costs $1200, what will it cost in three years?

Wewaii [24]

Answer:$3600 hope this helps

Step-by-step explanation:

8 0

2 years ago

2 number cubes are rolled. (a) List the sample space. (b)What is the probability, as a simplified fraction, that the sum of the

melomori [17]

Solution:

When two number cubes are rolled,

Sample space= Total Possible outcome {11,22,33,44,55,66,12,21,13,31,14,41,15,51,16,61,23,32,24,42,25,52,26,62,34,43,35,53,36,63,45,54,46,64,56,65}=36

Probability of an event = $\frac{\text{Total favorable outcome}}{\text{Total possible outcome}}$

Sum of 4 is obtained when ={13,31,22}=3

Probability of getting 4 when 2 number cubes are rolled= $\frac{3}{36}=\frac{1}{12}$

Sum of the numbers is greater than 9= 10, 11,12={55,64,46,56,65,66}=6

Probability of getting(Sum of the numbers is greater than 9)= $\frac{6}{36}=\frac{1}{6}$

7 0

4 years ago

1+h+j.h÷4; use h=8, and j=2

horrorfan [7]

Answer:

1+8+2/4 = 9.5

Step-by-step explanation:

yeppp that's itttt

8 0

3 years ago

Answer ASAP THANKKK YOUUUUU

alexandr402 [8]

Answer:

D. 40

Step-by-step explanation:

Interquartile range is the difference between the upper quartile value (Q3) and the lower quartile value (Q1).

In a box plot, Q1 is located at the beginning of the edge of the rectangular box from our left, while the Q3 is located at the end of the edge of the rectangular box to our right.

Interquartile range for City A = 70 - 40 = 30

Interquartile range for City B = 80 - 40

Therefore, city B has greater variability. The interquartile range is 40.

7 0

3 years ago