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Akimi4 [234]
2 years ago
13

Find the value of cos H rounded to the nearest hundredth, if necessary

Mathematics
2 answers:
olga55 [171]2 years ago
5 0

Answer:

0.6

Step-by-step explanation:

cos H = GH/FH

FH^2=20^2+15^2

FH^2=400+225=625

FH=25

cos H= 15/25=3/5=0.6

Iteru [2.4K]2 years ago
5 0
<h3>Answer:  0.6</h3>

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

Explanation:

Before we can apply a trig ratio, we need to find the length of the hypotenuse. Use the pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c = sqrt(a^2 + b^2)

c = sqrt(15^2 + 20^2)

c = 25

The hypotenuse is 25 units long, which is the length of segment FH.

Now we can find the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(H) = GH/FH

cos(H) = 15/25

cos(H) = 3/5

cos(H) = 0.6

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Because of a virus introduced into a bacterial culture, the population of the bacteria decreasedfrom 3000 to 1000 in 50 minutes.
Mamont248 [21]

Answer:

208

Step-by-step explanation:

Given that;

Given that;

y= a(1 - b)^t

Where;

wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

To obtain the constant b,

y= ae^-bt

Substituting values;

1000 = 3000 e^-b(50)

1000/3000 = e^b(50)

0.33 = e^b-(50)

ln (0.33) = ln(e^b(-50))

-1.1 = -50b

b= 1.1/50

b= 0.022

After two hours or 120 minutes;

y= 3000(1 - 0.022)^120

y= 207.8661772

y= 208

8 0
2 years ago
Which shows the expression below in simplified form? (7.2 × 107) ÷ (9 × 104) A. 8 × 101 B. -1.8 × 102 C. 8 × 102 D. 8 × 104
Mariana [72]

(7.2 × 10^7) ÷ (9 × 10^4)

= (7.2 / 9) x 10^(7 - 4)

= 0.8 x 10^3

= 8 x 10^2

Answer

C. 8 × 10^2

5 0
3 years ago
How do i do this pls help me
Delvig [45]

Answer:

y =  \frac{1}{7} x + 7

Step-by-step explanation:

x-7y = -49

i) move x to the right-hand side and change its sign

-7y = -49-x

ii) change the signs on both sides of the equation

7y = 49+x

iii) divide both sides of the equation by 7

\frac{7y}{7}  = \frac{49}{7}  +  \frac{x}{7}

y = 7 +  \frac{1}{7}  x

iv) use the commutative property to reorder the terms

* commutative property: a+b = b+a

y =  \frac{1}{7} x + 7

3 0
2 years ago
Prove the converse of the Pythagorean theorem using similar triangles. The converse of the Pythagorean theorem states that when
Whitepunk [10]

Answer:

I don't how to exactly put the explanation in words I hope this helps you

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If x-y =8 find the value of y when x=3
DedPeter [7]
Answer: y = -5

Substitute in 3 for x.
x - y = 8                            Substitution
3 - y = 8                            Subtract 3 from both sides
-y = 5                                Divide by -1 to both sides
y = -5                                Answer!

You can also check your work.
x - y = 8       
3 - (-5) = 8                  
3 + 5 = 8                        
8 = 8                                

8 0
3 years ago
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