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Artyom0805 [142]
3 years ago
7

If sin 2X = COS ZY and m2X = 72°, what is the measure of ZY? 18° 072° 90° 108°

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
8 0
The answer would be 18’
KATRIN_1 [288]3 years ago
5 0

Answer:

<u>18°</u>

Step-by-step explanation:

sin 2x=cos zy

m(2x)=72°

cos(π/2-a)=sin a

cos(π/2-72°)=sin72°

cos18°=sin72°

=>m(zy)=18°

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The length of a rectangle is 4 ya more than twice the width x. The area is 510 yd^2. Find the dimensions of the given shape
Furkat [3]

Answer:

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

Step-by-step explanation:

Given:

The shape is of rectangle,

Width of rectangle = x

Area of rectangle = 510 yd²

According to the given condition

Length of rectangle = 4 + 2x

To Find:

length =?

Width = ?

Solution:

We know that,

\textrm{Area of rectangle} = Length\times Width

On substituting the given values we get

510 = (4 + 2x)\times x\\510 = 4x+2x^{2}\ \textrm{using distributive property}\\\textrm{dividing throughout by two}\\255=2x+x^{2} \\\\x^{2} +2x -255 = 0\\

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get

∴ x^{2}+ 17x -15x -255=0\\x(x+17)-15(x+17)=0\\(x-15)(x+17)=0\\\therefore x-15 =0\ or\ x+17=0\\\\\textrm{x cannot be negative i.e -17}\\\therefore x=15

∴ Width  x = 15 yard

∴ Length = 4 + 2x = 4 +2 × 15 = 34 yard

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

5 0
3 years ago
4. Which of the following describes all the solutions of -4x + 2y &gt; 12 when y = 4?
Alja [10]

Answer:

Option B is correct

Step-by-step explanation:

Given data

We are given the expression

-4x + 2y > 12

We want to substitute y=4 into the expression

-4x + 2(4) > 12

-4x + 8 > 12

-4x> 12-8

-4x> 4

divide both sides by -4

x> 4/-4

x>-1

Hence option B is correct

5 0
3 years ago
(6x+7) - (9x-5) HELP​
ycow [4]

Answer:-3x+12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I am having trouble with converges and diverges<br>​
inna [77]

Answer:

d. converges, -25

Step-by-step explanation:

An infinite geometric series converges if the absolute value of the common ratio is less than 1.

Here, the common ratio is 4/5:

| 4/5 | = 4/5 < 1

So the series converges.  The sum of an infinite geometric series is:

S = a₁ / (1 − r)

where a₁ is the first term and r is the common ratio.

Here, a₁ = -5 and r = 4/5:

S = -5 / (1 − 4/5)

S = -25

5 0
3 years ago
The sum of w and 54 is equal to s. Let s = 72. Which equation can be used to find the value of w? A. w – 54 = 72 B. w – 72 = 54
Masteriza [31]
W + 54 = s

w + 54 = 72

Answer: C

Hope this helps!! :)


7 0
3 years ago
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