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pogonyaev
3 years ago
12

Find x and y please

Mathematics
2 answers:
Alexandra [31]3 years ago
6 0

Answer:

Answer:

  • x → 4.24
  • y → 4.24

Step-by-step explanation:

» x and y can only be got through using trigonometric ratios:

✍ <u> </u><u>For</u><u> </u><u>x</u><u> </u>:

{ \tt{ \sin( \theta)  =  \frac{opposite}{hypotenuse} }} \\  \\ { \tt{ \sin(45 \degree)  =  \frac{x}{6} }} \\  \\ { \tt{x = 6 \times  \sin(45 \degree) }} \\ { \tt{x = 4.24}}

✍ <u> </u><u>F</u><u>o</u><u>r</u><u> </u><u>y</u><u> </u>:

{ \tt{ \cos( \theta)  =  \frac{adjacent}{hypotenuse} }} \\  \\ { \tt{ \cos( 45  \degree)  =  \frac{y}{6} }} \\  \\ { \tt{y = 6 \times  \cos(45 \degree) }} \\ { \tt{y = 4.24}}

natulia [17]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

this is a 45 90 45-45-90 right triangle. the side is x and the hypotenuse is x*(sqrt(2)). the hypotenuse is 6, so the side is 3(sqrt(2)).

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The length of a rectangle is three more than twice the width. Determine the dimensions that give a total area of 27ft squareda.
Nuetrik [128]

ok

Area = 27ft^2

length = l

width = w

Equation

l = 2w + 3

Section A

Area

A = l*w

A = (2w + 3)* w or A = 2w^2 + 3w

27 = 2w^2 + 3w

2w^2 + 3w - 27 = 0 This is the equation

Section B

2w^2 - 6w + 9w - 27 = 0

2w(w - 3) + 9(w - 3) = 0

(w - 3)(2w + 9) = 0

w1 - 3 = 0 2w + 9 = 0

5 0
1 year ago
In a tin of baked beans, weight of beans : weight of tomatoes : weight of other ingredients = 6:3:1 was there are 150 g of tomat
satela [25.4K]

Answer:

300

Step-by-step explanation:

3x = 150

6x = z

Z=6x*150/3=300

7 0
4 years ago
Read 2 more answers
How is estimating the quotient help you place the first digit in the quotient of a division problem
Alexxx [7]
It can help you cause when you estimate your going back and putting the right number
5 0
3 years ago
For f(x)=2x+1 and g(x)=x^2-7, find (f.g)(x)
hram777 [196]

Option C (in the figure) is correct.

Step-by-step explanation:

We need to find (f.g)(x)

Given that f(x)=2x+1\\g(x)= x^2-7

Now finding (f.g)(x)

(f.g)(x)= f(x).g(x)

(f.g)(x)= (2x+1)(x^2-7)\\(f.g)(x)=2x(x^2-7)+1(x^2-7)\\(f.g)(x)=2x^3-14x+x^2-7\\(f.g)(x)=2x^3+x^2-14x-7

So, (f.g)(x)=2x^3+x^2-14x-7

Option C (in the figure) is correct.

Learn more about Composite Functions at:

brainly.com/question/10772025

brainly.com/question/10541435

Keywords: Composite function

#learnwithBrainly

8 0
3 years ago
In ΔJKL, k = 3.7 cm, ∠K=15° and ∠L=41°. Find the length of j, to the nearest 10th of a centimeter.
Alexandra [31]

Answer:

The length of side j is 11.85cm

Step-by-step explanation:

Given that

In triangle JKL,

\angle k=15

\angle l=41

Side k=LJ=3.7cm

To find side j=KL:

By using sine rule,

We can write as

\frac{SinK}{LJ} = \frac{SinL}{JK} = \frac{SinJ}{KL} \\\frac{Sin15}{3.7} = \frac{Sin41}{JK} = \frac{SinJ}{KL}

Using property of triangle,

\angle k+\angle l+\angle j=180

15+41+\angle j=180

\angle j=124

\frac{Sin15}{3.7} = \frac{Sin41}{JK} = \frac{Sin124}{KL}\\\frac{Sin15}{3.7} = \frac{Sin124}{KL}\\KL=3.7\frac{Sin124}{Sin15}\\KL=3.7\frac{0.8290}{0.2588}\\KL=11.85cm

Thus,

The length of side j is 11.85cm

8 0
3 years ago
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