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AnnyKZ [126]
2 years ago
6

Jackson places the mirror on the ground so that he is able to look at the mirror and see the top of the mountain.

Mathematics
1 answer:
SOVA2 [1]2 years ago
6 0

Answer:

  50'8"

Step-by-step explanation:

In this scenario, the height of the object is proportional to its distance from the mirror. The mountain is 40'/5' = 8 times as far from the mirror as Jackson, so it will be 8 times as tall as Jackson:

  8 × 6'4" = 48'32" = 50'8"

The mountain is 50 feet 8 inches tall.

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4= 6/a + 5 solve for x
Scorpion4ik [409]

Answer:

a=-6

Step-by-step explanation:

4= 6/a + 5

Subtract 5 from each side

4-5= 6/a + 5 -5

-1 = 6/a

Multiply by a on each side

-1*a = 6/a *a

-a =6

Multiply by -1

a= -6

6 0
3 years ago
Which is the difference of 21 1/4 - 18 2/4? A:2 1/4. B:2 2/4. C:2 3/4. D:3 1/4.
seropon [69]

Answer:

2 3/4 C

Step-by-step explanation:

(21+\frac{1}{4})-(18+\frac{2}{4})\\=21-18+\frac{1}{4} -\frac{2}{4} \\=3-\frac{1}{4} \\=\frac{12-1}{4} \\=\frac{11}{4} \\=2\frac{3}{4} \\or\\21\frac{1}{4} -18\frac{2}{4} \\=\frac{85}{4} -\frac{74}{4} \\=\frac{85-74}{4} \\=\frac{11}{4} \\=2\frac{3}{4}

3 0
3 years ago
Estimate. Round to the greatest place value. Circle whether the estimate is greater then or less then the actual product.
nataly862011 [7]

Answer:

The estimate is greater then.

Step-by-step explanation:

143*2=286

286*2=572 not 6,517

4 0
3 years ago
Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i
Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

  • Amount invested or principal amount as $5048
  • Rate of interest as 4% compounded 12 times per year
  • Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

A=P(1+\frac{r}{100})^n

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

6,163.59=5,048(1+\frac{0.333}{100})^n

1.221=(1+\frac{0.333}{100})^n

1.221=(1.0033)^n

introducing logarithms on both sides;

log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

                            = 5.0508

                            = 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0
3 years ago
I need help with number 13
nikklg [1K]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

We have the point (0, 5). Therefore b = 5.

We have: y = mx + 5

Other point (3, 2). Substitute the coordinates of the point to the equation of the line:

2=3m+5     <em>subtract 5 from both sides</em>

-3=3m      <em>divide both sides by 3</em>

-1=m\to m=-1

<h3>Answer: f(x) = -1x + 5 = -x + 5</h3>
3 0
3 years ago
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