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2 years ago

If ln=12x+16 what is the length is ln units

Mathematics

1 answer:

Liula [17]2 years ago

5 0

If I’m = 12x + 16 what is the length is in units

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HELPPPPPPPP In WXY, y=690 cm, w=440 cm and angle X=163°. Find angle W to the nearest degree

Ede4ka [16]

Answer:

The angle W is approximately 7°.

Step-by-step explanation:

Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:

$x = \sqrt{y^2+w^2-2\cdot y\cdot w \cdot \cos X}$ (1)

Where:

$y, z$ - Side lengths, in centimeters.

$W$ - Angle, in sexagesimal degrees.

If we know that $y = 690\,cm$ , $w = 440\,cm$ and $X = 163^{\circ}$ , then the length of the side x is:

$x = \sqrt{y^2+w^2-2\cdot y\cdot w \cdot \cos X}$

$x\approx 1118.199\,cm$

By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:

$\frac{x}{\sin X}= \frac{w}{\sin W}$ (2)

$\sin W = \left(\frac{w}{x} \right)\cdot \sin X$

$W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]$

If we know that $X = 163^{\circ}$ , $w = 440\,cm$ and $x\approx 1118.199\,cm$ , then the angle W is:

$W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]$

$W \approx 6.606^{\circ}$

Hence, the angle W is approximately 7°.

3 0

3 years ago

A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder shou

Ulleksa [173]

Answer:

8 cups

Step-by-step explanation:

hope I could help

5 0

3 years ago

Find a1 if Sn = 89,800, r = 3.4, and n = 10. Round to the nearest hundredth if necessary.

xxMikexx [17]

Answer:

$a_1=1.04$

Step-by-step explanation:

We have a geometric sequence with:

$Sn = 89,800$ , $r = 3.4$ , and $n = 10$

Where

Sn is the sum of the sequence

r is the common ratio

$a_1$ is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

$S_n=\frac{a_1(1-r^n)}{1-r}$

Then:

$89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}$

Now we solve for $a_1$

$89,800(1-3.4)=a_1(1-(3.4)^{10})$

$a_1=\frac{89,800(1-3.4)}{1-(3.4)^{10}}\\\\a_1=1.04$

4 0

4 years ago

When f(x)= -3,what is x

White raven [17]

F(x) = -3.

x = f⁻¹(-3)

x = f inverse of (-3).

7 0

3 years ago

Read 2 more answers

Is (1, 1) a solution to this system of equations? 11x+3y=18 4x+y=5

Mumz [18]

system of equations (1,1)

put value of these x and y in equations

(x , y) = ( 1,1)

so this solution not satisfied equation 1

11( 1) + 3 (1) = 18

so 11 + 3 = 18

15 = 18 ( Left side not equal to right side )

(1,1) is not solution for 11x+ 3y=18

2. 4x+y = 5

put values (1,1)

4(1) + (1) = 5

5 = 5 { left side = right side )

so (1,1) is solution for 4x +y=5

8 0

3 years ago