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tia_tia [17]
3 years ago
11

Write log6 5 as a logarithm of base 4.

Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

It is a).

Step-by-step explanation:

The rule for change of base of a log is:

logb x =  = loga x / loga b

So we have

log6 5 = log4 5 / log4 6.

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At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height
jolli1 [7]

Answer:

Step-by-step explanation:

This is a question that uses the Pythagorean Theorem.

a = 35 feet

b = x            which is the height of the tree.

c = 3*x + 1   so we are trying to find x.  Substitute into a b and c

a^2 + b^2 = c^2

35^2 + x^2 = (3x + 1)^2        

35^2 + x^2 = 9x^2 + 6x + 1     Subtract x^2 from both sides.

35^2 = 8x^2 + 6x + 1               Subtract 35^2 from both sides.

0 = 8x^2 + 6x + 1 - 35^2

0 = 8x^2 + 6x - 1224

Does this factor?

(x + 12.75)(x - 12)

x - 12 = 0 is the only value that works.

x = 12

The tree is 12 feet high.

Note: I used the quadratic formula to solve this.

6 0
3 years ago
Read 2 more answers
Help me, please I need the answer
Len [333]

Considering it's dimensions and the formula, the volume of the cuboid is of 160 cm³.

<h3>What is the volume of a rectangular prism?</h3>

The volume of a rectangular prism, such as a cuboid, is given by the <u>area of the base multiplied by the height</u>, that is:

V = Ab x h

In this problem, the base is a square of sides 4 cm, with the height of 10 cm, hence the volume is given by:

V = 4² x 10 = 160 cm³.

More can be learned about the volume of a cuboid at brainly.com/question/22694657

#SPJ1

6 0
2 years ago
The grocery store pays a 15% tax on alcohol sales last year. The total tax paid last year was $3750. What was the total sales fo
ss7ja [257]
3750/15%= 3750 / 0.15 = 25000
A: $25000
3 0
3 years ago
PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS!
Georgia [21]

Answer:

A

Step-by-step explanation:

When I did the two questions on the white board, only equation one had infinite solutions. Equation 2 have no solutions.

6 0
3 years ago
Read 2 more answers
(x+5)(x+5)=49<br> Solve the equation for x
Savatey [412]

Answer:

X=2

Step-by-step explanation:

We can change the left side of the equation to (x+5)² which gives us

(x+5)²=49  now to get rid of the squared we can take the square root of both sides which gets us to x+5=7 and now subtract 5 from both sides to get your final answer of x=2

I hope this helps and please don't hesitate to ask if there is anything still unclear!

7 0
3 years ago
Read 2 more answers
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