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2 years ago

Help me solve this problem

Mathematics

1 answer:

Elenna [48]2 years ago

4 0

Answer:

=, there are equal

Step-by-step explanation: < means less than and > means greater than and = is just equal.

Use your calculator to the square root of 125.

The answer is 11.180...... and so on. But we just leave it as 11. Therefore, 11 and 11 are equal. That's the answer to your question.

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You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi

irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

$tan(52^o)=\frac{AC}{50}$ ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

$AC=tan(52^o){50}$

$AC=64\ ft$

step 2

In the right triangle ABE

Find the length side AB

$tan(21^o)=\frac{AB}{50}$ ---> by TOA (opposite side divided by the adjacent side)

solve for AB

$AB=tan(21^o){50}$

$AB=19.19\ ft$

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

$64-19.19=44.81\ ft$

5 0

3 years ago

Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a

Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

Maximum or minimum: f'(x) = 0

Maximum: f'(-3) = 0 and f(-3) = 3

Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0 (1)

f'(1) = 0 leads 3a + 2b + c = 0 (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3 (3)

f(1) = 0 leads a + b + c + d = 0 (4)

(1) - (2): 24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4) -28a + 8b - 4c = 3 (5)

(1) * 4 + (5): 80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

f(x) = (3x³ + 9x² - 27x + 15)/32

3 0

2 years ago

How can emily use the above to make an estimate for 576 ÷8

Grace [21]

Given the equation :

$576\div8$

We will use estimation to find the value of the given expression

So, the best estimation for the number 576 is = 600

The best estimation for the number 8 is = 10

So, the given expression is approximately = 600 ÷ 10 = 60

===================================================================

We can calculate the error of the approximation as following :

The actual value is : 576 ÷ 8 = 72

So, the difference is = 72 - 60 = 12

so, the percentage of error will be :

$\frac{12}{72}\cdot100=16.7\%$

7 0

1 year ago

Cara is building a new dog house the roof is 10 4/5 feet long express this length as a decimal show work

scZoUnD [109]

Answer:

10.8 feet

Step-by-step explanation:

Multiply 4/5 by 2 on the top and bottom. Then you'll get 8/10 which is 0.8 as a decimal

7 0

2 years ago

Read 2 more answers

Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of juice to mags. How much is left in luna

Debora [2.8K]

Answer:

The answer is 1/2

Step-by-step explanation:

First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.

To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.

Next you add the two fractions: 6/8 + 3/8 = 9/8

Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8

After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8

So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.

So Luna's glass only has 1/2 in the cup.

Make sure you be optimistic and see it as half full, instead of the pessimistic view of half empty. Remember to stay positive and share good vibes. Hope this answer helps you.

4 0

3 years ago