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3241004551 [841]
3 years ago
14

Select the correct answer

Mathematics
2 answers:
Art [367]3 years ago
5 0
The answer would be A
scoray [572]3 years ago
4 0

Answer: A

Step-by-step explanation:

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Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?
Travka [436]

\frac{log 25}{log 8} is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.

Given that, Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.

We need to determine the expression did Devonte use.

<h3>What is the formula of change of base formula?</h3>

The change of base formula says log_{a} b=\frac{log_{c}b }{log_{c}a}. It means to change the base of a logarithm logb b a, we just use division \frac{log a}{log b} where these logarithms can have any positive number as a base.

Now, log Subscript 8 Baseline 25 =log_{8}25

=\frac{log_{10}25 }{log_{10}8}=\frac{log 25}{log 8}

Therefore, \frac{log 25}{log 8} is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.

To learn more about the logarithms visit:

brainly.com/question/20785664.

#SPJ1

5 0
2 years ago
Read 2 more answers
In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.
pogonyaev

We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.

First of all, we will draw a right triangle using our given information.

We can see that US is opposite to angle T and ST is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

\sin=\frac{\text{Opposite}}{\text{Hypotenuse}}

\sin(\angle T)=\frac{US}{ST}

\sin(\angle T)=\frac{4}{9.7}

Now we will use arcsin to solve for measure of angle T as:

\angle T=\sin^{-1}(\frac{4}{9.7})

\angle T=24.353873017978^{\circ}

Upon rounding to nearest degree, we will get:

\angle T\approx 24^{\circ}

Therefore, the measure of angle T is approximately 24 degrees.

4 0
3 years ago
For each rectangle below, write a linear equation that represents the area y of the rectangle. Solve this system of two linear e
Hatshy [7]

(5,24)

  • The two areas are the same.

  • To find the area, we multiply the side lengths. Y=area

Rectangle 1: side lengths 4 and (x+1)

y=4(x+1)= 4x+4

Rectangle 2: side lengths 3 and (2x-2)

y=3(2x-2)= 6x-6

  • Since the two areas are same, we can conclude that

4x+4=6x-6

  • Now, simplify.

-2x=-10, x=5

  • Since x is 5, we can plug it into the equations to find y.

Option 1 with rectangle 1: y=4(5)+4, y=24

Option 2 with rectangle 2: y=6(5)-5, y=24

I graphed the linear equation on desmos.

5 0
3 years ago
The area of this circle is 840 m².
kaheart [24]

Answer:

420m

Step-by-step explanation:

serch

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3 0
3 years ago
Read 2 more answers
Two rectangles have the same area of 70m2. It is given that the length of the first rectangle is 4m longer and the width is 2m s
NeX [460]

Answer:

second rectangle

longer = 10

width = 7

first rectangle

longer = 14

width= 5

Step-by-step explanation:

7 0
3 years ago
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