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3 years ago

Find the common ratio of the geometric sequence -14, -84, -504,

Mathematics

1 answer:

Phantasy [73]3 years ago

8 0

Answer:

0.166667 - Common Ratio

step by step

Formula Used: Common Ratio=First term/Consecutive Term

Calculation: 0.166667=(-14)/(-84)

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each of equal sides of an isosceles triangle is 4cm greater than its height .If the base of triangle is 24 cm ,calculate the per

Montano1993 [528]

<h3>Answer:-</h3>

192 cm²

<h3>Step by step explanation :-</h3>

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

According to Pythagoras Theorem :-

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

<h3>★ Hence the area of the triangle is 192 cm² .</h3>

8 0

2 years ago

The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65.

Vesnalui [34]

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

$s=93\log d+65$

Compute the value of d for s = 280 as follows:

$s=93\log d+65$

$280=93\log d+65$

$93\log d=280-65\\93\log d=215$

$\log d=2.312\\$

$d=10^{2.312}\\d=205.035\\d\approx 205$

Thus, the distance the tornado traveled was approximately 205 miles.

7 0

3 years ago

The graph of f(x)=x^2 was transformed to

frozen [14]

A since it’s being change along the x-axis

4 0

3 years ago

Find the speed of a race car if it travels 5 miles in 2 minutes and 30 seconds

Tomtit [17]

You first convert the 2 minutes and 30 seconds to 150 seconds.

Then, you take the 150s÷5m to get the number of seconds per mile.

The answer is 30s/m

4 0

3 years ago

Angelica's salary this year is 14% higher than it was four years ago. If she earns $46,170.00 this year, what did she earn four

Alona [7]

Answer:

D. $39,706.20

Step-by-step explanation:

In this problem, you are subtracting 14%. A way you could do this is buy finding 14% of $46,170.00, then subtracting that from itself. Or instead, you could find 86%. This works because its like your subtracting 14% from the whole 100%. so 100 - 14 = 86.

Method 1:

$46,170.00 x 0.14 = 6463.8

$46,170.00 - 6463.8 = 39706.2

Method 2:

100 - 14 = 86

$46,170.00 x 0.86 = 39706.2

either way the answer is still correct. i hope this make sense and that it helps you!

5 0

2 years ago