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vlabodo [156]
3 years ago
8

2 math questions. Please show your work if you can, I struggle with this, Thanks !! 20pts

Mathematics
1 answer:
castortr0y [4]3 years ago
5 0

Step-by-step explanation:

To find the solution, Tanisha can graph each side of the equation as its own function:

y₁ = log₃(5x)

y₂ = log₅(2x + 8)

The solution is where the two curves cross.  From the graph, that happens at x ≈ 0.957.

desmos.com/calculator/lkukjhn3g2

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A square lawn has area 128128 ft squared .ft2. a sprinkler placed at the center of the lawn sprays water in a circular pattern t
fenix001 [56]
For this case what you must do is find the diagonal of the square to find the diameter of the circle and then be able to obtain the radius.
 We have then:
 A = L ^ 2 = 128
 L = root (128)
 L = 11.3137085
 Then, the diagonal of the square knowing its sides is:
 d = root ((L) ^ 2 + (L) ^ 2)
 d = root ((11.3137085) ^ 2 + (11.3137085) ^ 2)
 d = 16 feet
 Finally the radius of the circle is:
 r = d / 2
 r = (16) / 2
 r = 8feet
 answer:
 the radius of the circle is
 r = 8feet
6 0
3 years ago
An empty bucket weighs 800g.
erica [24]

Answer:

412.5 percent

7 0
3 years ago
Read 2 more answers
The area of a triangle is the product of the base of the triangle times the height of the triangle, divided by two.
Natali [406]

Answer:

A = (1/2)(base)(height)

Step-by-step explanation:

Yes, that's correct:

A = (1/2)(base)(height)

Was there more to this question?

3 0
3 years ago
The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that
dezoksy [38]

Answer:

Therefore,

Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.

Step-by-step explanation:

Given:

The wind speed near the center of a tornado is represented by the equation,

S=93\log d+65

Where,

d =  the distance, in miles

S = the wind speed, in miles per hour.

To Find:

S = ? at d = 4 miles

Solution:

We have

S=93\log d+65        .........Given

Substitute d = 4 in above equation we get,

S=93\log 4 + 65=93\times 0.602 +65=120.99

Rounding the answer to the nearest tenth we have

S=121.0\ mph

Therefore,

Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.

4 0
3 years ago
Solve the following problems. Be sure to indicate if a solution is to be rejected based on the contextual situation.
aleksklad [387]

Answer:

1. 5/3 cm

2. 10 in

Step-by-step explanation:

1. The length of a rectangle is 4 cm more than 3 times its width.

Let the length be L and the width B

Then,

L = 4 + 3B

If the area of the rectangle is 15 cm2

Area = LB = 15

B(4 +3B) = 15

3B² + 4B - 15 = 0

3B² - 5B + 9B - 15 = 0

B(3B - 5) + 3(3B - 5) = 0

(3B - 5)(B + 3) = 0

3B - 5 =  or B + 3 = 0

B = 5/3 or -3

since B cannot be negative, B = 5/3 cm

2. The ratio of length to width in a rectangle is 2 ∶ 3.

Let the length be L and the width B

Then,

L/B = 2/3

2B = 3L, B = (3/2)L

when the area is 150 in2.

Area = LB = 150

(3/2)L² = 150

L² = 150×2÷3

L² = 100

L = √100

L = ±10

since the length cannot be negative, L = 10 in

4 0
3 years ago
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