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sineoko [7]
3 years ago
6

A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Fi

nd the angle formed between the ladder and the ground.
Mathematics
2 answers:
sladkih [1.3K]3 years ago
7 0

The ground, the building, and the ladder form a right triangle, in which
the leaning ladder is the hypotenuse.

For the angle between the ladder and the ground, the 4-ft along the ground
is the side adjacent to the angle, and the 7-ft ladder is the hypotenuse.

         (adjacent side) / (hypotenuse) = cosine of the angle.

                                         Cosine(a) = 4/7 = 0.57143... (rounded)

                                                    Angle 'a' = <em>55.15 degrees</em> (rounded)

PSYCHO15rus [73]3 years ago
6 0

Answer:it’s C.55

Step-by-step explanation:

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-11+3(b+5)=7 what is b
evablogger [386]

Answer:

b=1

Step-by-step explanation:

-11+3(b+5)=7

-11+3b+15=7

-11+15+3b=7

4+3b=7

3b=7-4

3b=3

3b/3=3/3

b=1

hope it's helpful

8 0
2 years ago
Read 2 more answers
Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.
Anon25 [30]
The first step in solving for f(g(x)) when x=3, is solve for g(x). The answer of g(x) when x is equal to 3 is -(5) multiplied by 3 add by 2. Therefore, g(x) is -13. Then substitute the value of g(x) to f(x). The answer of f(-13) is 2 multiplied by -13, then add 1. So, the final answer is, f(x)=-25.
3 0
3 years ago
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A company can send a maximum of 40 workers to complete a
rewona [7]

Answer:

20

Step-by-step explanation:

For the sake of the problem, let's make female workers "x" and male workers "y".

x+y<40       This equation shows that the total number of workers has a max of 40.

30x+20y<1,000      This equation shows that the total cost the manager pays ($30 to each woman, $20 to each man) has a max of $1,000.  

Now you can solve for x and y.

X+y<40

-y       -y

X<-y+40

Substitute -y+40 in for X in the second equation

30(-y+40)+20y<1,000      

-30y+1200+20y<1,000         Distribute

-10y+1,200<1,000      Combine like terms

-10y<-200                   Subtract 1,200

y>20                Divide by -10; flip the sign

Since y>20, and y=male workers, you now know that the minimum

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4 0
3 years ago
The recycling center collected 48,000 ounces of
Leona [35]

Answer: 1.5 tons

Step-by-step explanation:

Given

The recycling center collected 48,000 ounces of aluminum can

An ounce is the unit of weight and it can be expressed in tons as

1\ \text{ounce}=3.125\times 10^{-5}\ \text{tons}

\therefore 48,000\ \text{ounces} \equiv\ 3.125\times 10^{-5}\times 48,000=1.5\ \text{tons}

8 0
3 years ago
What is the additive identity of rational number​
Burka [1]

Answer:

zero(0)

Step-by-step explanation:

The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.

In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say <em>x</em>, adding zero to the number <em>x</em> gives the same number <em>x. </em>i.e

x + 0 = x

If x is say 2, then we have;

2 + 0 = 2

Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.

<em></em>

3 0
3 years ago
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