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11111nata11111 [884]
2 years ago
15

The sum of two numbers is 60. One number is 4 times as large as the other. What are the numbers? Larger number: Smaller number:

Mathematics
1 answer:
Makovka662 [10]2 years ago
5 0

Answer:larger=48, smaller=12

Source:trust me bro

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Need help! Law of cosines...find b round to the nearest tenth please
dusya [7]
ANSWER

B = 27.8 \degree

EXPLANATION

The law of cosine is given by the formula:

{b}^{2} = {a}^{2} + {c}^{2} - 2bc \cos(B)

From the diagram,

a=17, b=8, c=16

We substitute the given values into the formula to obtain:

{8}^{2} = {17}^{2} + {16}^{2} - 2(17)(16)\cos(B)

64 = 289+ 256- 544\cos(B)


64 = 545- 544\cos(B)


64 - 545 = - 544\cos(B)

- 481 = - 544\cos(B)

\frac{ - 481}{ - 544} = \cos(B)

cos(B) = 0.88419

B = \cos ^{ - 1} (0.88419)

B = 27.8 \degree
3 0
3 years ago
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Use logarithmic differentiation to find dy/dx
liq [111]

Answer:

dy/dx  =  (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]

Step-by-step explanation:

y = (x^2 - 3)^sinx

ln y = ln  (x^2 - 3)^sinx

ln y = sin x * ln (x^2 - 3)

1/y * dy/dx  =   sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x

1/y dy/dx =  2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)

dy/dx  =   [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y

dy/dx  =  (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]

7 0
3 years ago
HELP PLEASE IM BEGGING PLEASE PLEASE PLEASE
nasty-shy [4]

Answer:

h - 18 = 67

Step-by-step explanation:

If h is her height, then her height minus 18 is 67, or h - 18 = 67

4 0
3 years ago
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What is the vertex for<br> f(x)=4(x-2)^2 + 3
Flauer [41]

Answer: (2,3)

Hope this helps! good luck! Have a wonderful day! :)

4 0
3 years ago
A parking garage has 500 parking spaces. One morning 330 parking spots were filled. What percent of the parking spaces were fill
blondinia [14]
Hey there! :D

So, what we need to do is make a fraction that has a denominator of 100. This is the simplest route to take.

330/500

If you took one zero away from each side, you will get an equivalent fraction:

33/50

Multiply both side by 2 to get to 100.

33*2=66 50*2=100

66/100

So, 66% percent ornament the parking lots were filled.

I hope this helps!
~kaikers
7 0
2 years ago
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