Elijah earns $18 a day working part time at a gas

Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 5.

Naddika [18.5K]

The correct question is
Using the graph of f(x) = log2x below, approximate the value of y in the equation 2^(2y) = 5

we have
2^(2y) = 5--------------> applying base 2 logarithm both members
2y*log2(2)=log2(5)
log2(2)=1
then
2y=log2(5)
y=[log2(5)]/2

using the graph
for x=5 the approximate value of log2(5) is 2.3
see the attached figure
so
y=[log2(5)]/2--------> y=[2.3]/2----------> y=1.15

the answer is
the approximate value of y is 1.15

4 0

3 years ago

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Yasmin swims at a constant rate of 2 km/h for 2.5 h. How far does Yasmin swim? 4.5 km 5 km 6 km 6.5 km

Neporo4naja [7]

She swims for 2.5 hours at a rate of 2 km/hr
Multiply 2.5 * 2 = 5 km

3 0

3 years ago

15. In the drawing, find the perimeter of triangle BIS.<br>

Nesterboy [21]

Answer:

29.86 units

Step-by-step explanation:

In the triangle BIS, IT is the bisector of angle BIS,

$BI \cong ST.... (given) \\$

Let BI = ST = x... (1)

By angle bisector property of a triangle, we have:

$\frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\\frac{x}{12} = \frac{4}{x}\\\\x\times x = 12\times 4\\\\x^2 = 48\\\\x=\sqrt{48}\\\\x = 6.92820323\\\\x = 6.93\\$

Therefore,

BI = ST =6.93

Perimeter of triangle BIS

= BI + IS + ST + BT

= 6.93 + 12 + 6.93 + 4

= 29.86 units

3 0

3 years ago

Which of the follow triangles is similar to APOR?

Paul [167]

Answer:

D

Step-by-step explanation:

For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.

The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if

(a) the angle in X is congruent (same) as the angle in Y

(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y

For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.

So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)

Answer A: 12/15 simplifies to 4/5, wrong answer

Answer B: 9/12 simplifies to 3/4, wrong answer

Answer C: 6/10 simplifies to 3/5, wrong answer

Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2

We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.

We get 6/7! That is the correct answer, so D is the triangle similar to PQR.

7 0

3 years ago

Please help the assignment is overdue. :(

Pachacha [2.7K]

The answer would be No solution

3 0

3 years ago

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