Help please !!!!!!!!!!!!

Help with this question (100 points)

Masteriza [31]

Answer:

y = $\frac{\pi}{3}$

Step-by-step explanation:

using the addition formula for sine

sin(x + y) = sinxcosy + cosxsiny

then

sinxcosy + cosxsiny = $\frac{1}{2}$ sinx + $\frac{\sqrt{3} }{2}$ cosx

for the 2 sides to be equal , then

cosy = $\frac{1}{2}$ and siny = $\frac{\sqrt{3} }{2}$

then

y = $cos^{-1}$ ( $\frac{1}{2}$ ) = $\frac{\pi }{3}$

and

y = $sin^{-1}$ ( $\frac{\sqrt{3} }{2}$ ) = $\frac{\pi }{3}$

thus y = $\frac{\pi }{3}$

6 0

2 years ago

How to find a whole number in this question 4% of ... is 56?

Natalka [10]

$\frac{4}{100} * x=56$
$\frac{1}{25} * x=56$
$1400$

8 0

3 years ago

The area of a square living room is 256 ft2. Which is the length of the room?

Alexxx [7]

The length of the room is 16 feet long.

8 0

4 years ago

1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid

My name is Ann [436]

9514 1404 393

Answer:

a) V = 4w²h

b) SA = 4w² +10wh

c) SA = 4w² +37.5/w

d) C = 40w² +225/w

Step-by-step explanation:

The relevant formulas are ...

V = LWH

base area = LW

lateral area = H(2(L+W))

__

a) The length is 4 times the width, so the volume is ...

V = (4w)(w)(h)

V = 4w²h

__

b) The total surface area is the sum of the base area and the lateral area:

SA = base area + lateral area

SA = (4w)(w) + 2h(4w +w)

SA = 4w² +10wh

__

c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

15 = 4w²h

h = 15/(4w²)

Then the surface area is ...

SA = 4w² +10w(15/(4w²))

SA = 4w² +37.5/w

__

d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

C = 10(4w²) +6(37.5/w)

C = 40w² +225/w

4 0

3 years ago

Micah places a mirror on the ground 24 feet from the base of a tree. He walks

irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground

And he is 9 feet from the image in the mirror.

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

$\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}$

$\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}$

Hence, the height of the tree is 8 feet

6 0

3 years ago