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3 years ago

Find the cos of angle y

Mathematics

2 answers:

Nikitich [7]3 years ago

8 0

Answer:4/5

Step-by-step explanation:

Minchanka [31]3 years ago

3 0

ANSWER

$\cos(y) = \frac{4}{5}$

EXPLANATION

From the mnemonics SOH-CAH-TOA.

We want to find the cosine of y

CAH means cosine ratio involves adjacent over the hypotenuse.

$\cos(y) = \frac{adjacent}{hypotenuse}$

From the right by triangle, the side ajacent to angle y is 64 units and the hypotenuse is 80 units.

$\cos(y) = \frac{64}{80}$

$\cos(y) = \frac{4}{5}$

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Use the value of the discriminant to determine the type of roots for x²-3x+1=0

nignag [31]

Hi,

Δ = 9 - 4 * 1 * 1 = 5

the roots are :

x1 = (3 - √5) / 2

x2 = (3 + √5) / 2

7 0

3 years ago

The length of a rectangle is twice its width. if the perimeter is 72 meters, find the length and width of the rectangle

madam [21]

Length(l)= 2w
width(w)= w

Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units

find length:
l=2w
l= 2(12)
l= 24 units

Answer:
The length of this rectangle is 24 units and the width is 12 units.

6 0

3 years ago

Complete the following ratio table

Nady [450]

Could help if you showed the rest of the table

6 0

3 years ago

Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

3 0

3 years ago

4 times the measure of the complement of an angle is equal to 2/3 the measure of the original angles supplement. what is the mea

Irina-Kira [14]

Let angle be x
4 times complement = 4(90 - x)
2/3 times its supplement = 2/3(180 - x)

4(90 - x) = 2/3 (180 - x)
360 - 4x = 120 - 2/3 x
240 = 3 1/3 x
x = 240 / 10/3 = 240 * 3/10 = 72 degrees Answer

4 0

3 years ago