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aalyn [17]
4 years ago
8

Solve logx − 116 = 4

Mathematics
1 answer:
Ray Of Light [21]4 years ago
4 0

Answer:

x = 10^{120}.

Step-by-step explanation:

logx - 116 = 4

log(x) = 4 + 116

log(x) = 120

10^120 = x

x = 10^{120}

Hope this helps!

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3 0
3 years ago
Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the
o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

tanx=\frac{64}{82}

This value also equals by bigger triangle as

tanx=\frac{h}{82+12(12)}=\frac{h}{226}

From these two we get

h = height of street light =\frac{226(64)}{82} =176.39

6 0
3 years ago
If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?
Vikentia [17]

Answer:

In the world of exponents, 4 is the number being raised by the exponent, which is 2.

Let's answer the first question:

If the base is 4, what is the value if the exponent is 2?

  • The base is 4 and the exponent is 2.  We would multiply 4 two times.

4^2= 4*4 = 16

So, it would be 16.

Let's answer the second question:

What if the exponent is -2?

<u>This is the rule for negative exponents:</u>

a^{-x}=\frac{1}{a^x}

Using this rule, we can solve 4^{-2}.

4^{-2}= \frac{1}{4^2}=\frac{1}{16}

So, our answer for the 2nd question is 1/16.

3 0
4 years ago
Can someone please help me find the measure of the exterior angle.
natta225 [31]

Answer:

X=128°

Step-by-step explanation:

Because an exterior angle of a triangle is equal to of the two opposite interior angle.

The sum of the exterior and interior angle is equal to 180°

In this case the part marked red = 90° because is a right angled triangle.

90+38=128

180- 128=52

180- 52=128

x=128.

7 0
3 years ago
Read 2 more answers
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m_a_m_a [10]

49-c\leq45\qquad\text{subtract 49 from both sides}\\\\-c\leq-4\qquad\text{change the signs}\\\\\boxed{c\geq4}

3 0
3 years ago
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