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lianna [129]
3 years ago
6

I need to be able to explain how to do this step by step and know the final answer. Evaluate the logarithm: log8 64

Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

Answer:

log_{8}(64)  = 2

Step-by-step explanation:

log_{8}(64)  = x \\  {8}^{x}  = 64 \\  {8}^{2}  = 64

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9. What is the value of x if the quadrilateral is a rhombus? 15 5x 4x+3​
Andreyy89
X is 3!! you would set the equation as 4x+3=15. Subtract 3 from both sides to get 4x=12. Divide by 4, then you get your answer as x=3. hope this helped!!
3 0
3 years ago
Find the missing part for A, Y, Z, and B.
matrenka [14]
All (3) of the triangles are similar to one another, and they have the 30-60-90 interior-angle pattern. This allows us to establish the following relations.

a+b=2x\implies x=\dfrac{15}2


z=\sqrt3\,x\implies z=\dfrac{15\sqrt3}2


\dfrac ax=\dfrac x{a+b}\implies a(a+b)=x^2\implies15a=\dfrac{15^2}{2^2}\implies a=\dfrac{15}4


a+b=15\implies b=15-\dfrac{15}4=\dfrac{45}4


y=\sqrt3\,a\implies y=\dfrac{15\sqrt3}4
7 0
4 years ago
Two similar triangles, the perimeter of the first is 74cm and the side lengths of the other one are 4.5cm 6cm and 8 cm. Find the
musickatia [10]

Answer:

the longest side of the first triangle is 32 cm

Step-by-step explanation:

Given;

dimension of the smaller triangle =  4.5cm 6cm and 8 cm.

the longest side of this smaller triangle = 8 cm

Perimeter of the first triangle = 74 cm

let the increase in dimension of the similar first triangle = x

the longest side of the first triangle = 8x

4.5x + 6x + 8x = 74

18.5x = 74

x = 74/18.5

x = 4

the longest side of the first triangle = 8 x 4 = 32 cm

7 0
3 years ago
What is the slope intercept form of y-2 = 2 (x-3)
nevsk [136]

Answer:

y = 2x - 4

Step-by-step explanation:

<u>Step 1:  Convert to slope intercept form which is y = mx + b</u>

y - 2 = 2(x - 3)

y - 2 + 2 = 2x - 6 + 2

y = 2x - 4

Answer:  y = 2x - 4

5 0
4 years ago
The Pythagorean Theorem is an equation that helps you to find the lengths of a right triangle. The legs are given as a and b whi
Molodets [167]

Replace a with the length of the given leg and c with the length of the hypotenuse and solve for b:

7^2 + b^2 = 25^2

Simplify"

49 + b^2 = 625

Subtract 49 from each side:

b^2 = 625 - 49

b^2 = 576

Take the square root of both sides to solve for b:

b = √576

b = 24

8 0
4 years ago
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