Y=x+1<br> y+x=5<br> Cant figure out what i am suppose to do with this problem

Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and

Anastaziya [24]

The problem is modelled in the first picture shown below

To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.

We use the cosine rule to work out the length AB
$AB^{2}= 75^{2}+ 150^{2}-(2*75*150*cos(60))$
$AB^{2} =28125-11250$
$AB^{2}=16875$
$AB= \sqrt{16875} =130$ (nearest whole number)

The third picture shows the full diagram of the vectors

To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B

Angle A
$\frac{130}{sin(60)}= \frac{75}{sin(A)}$
$130sin(A)=75sin(60)$
$sin(A)= \frac{75sin(60)}{130}$
$sin(A)=0.4996300406$
$A= sin^{-1}(0.4996300406)$
$A=30$ (rounded to nearest whole number)

Angle B
$B=180-60-30=90$

Direction is 60° toward negative x-axis

Answer: Magnitude 130N and direction 60° toward negative x-axis

3 0

3 years ago

Please answer and explanation

mrs_skeptik [129]

61.23 square inches of metal is needed to create a cylindrical can.

Solution:

Diameter of the base = 3 in

Radius of the base = 3 ÷ 2 = 1.5 in

Height of the cylinder = 5 in

The value of π = 3.14

<u>To find the surface area of the cylinder:</u>

Surface area of the cylinder = $2 \pi r^{2}+2 \pi r h$

= 2 × 3.14 × (1.5)² + 2 × 3.14 × 1.5 × 5

= 14.13 + 47.1

Surface area of the cylinder = 61.23 sq. in

Hence 61.23 square inches of metal is needed to create a cylindrical can.

3 0

3 years ago

Brian rehr obtains an installment loan of 1250 to buy canoe requires 24 monthly payments and has an apr of 10%

Norma-Jean [14]

Answer:

I believe it is 122.6

Step-by-step explanation:

1,250 - 24 = 1,226

10%of 1,226 = 122.6

8 0

2 years ago

PLEASE HELP WILL GIVE MOST BRAINLIEST!!!!

Anarel [89]

Answer:

48 ft cubed or 576 in cubed

Step-by-step explanation:

The volume of the water is 2304 in cubed. you multiply 12 in by 24 in by 8 in.

the rock makes the water go up 2 in. You then multiply 12 in by 24 in by 10 in. This will equal 2880 in cubed.

2880-2304=

576 in. cubed or 48 ft. cubed

6 0

2 years ago

Which of the following is an equivalent representation of 2-3 ?

Tamiku [17]

Answer:

2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation

Similarly, if we divide the numerator and denominator of 12/18 by 6 we get. 12/18 = 12÷6 / 18÷6 = 2/3. So 12/18 is an equivalent fraction of 2/3 as well.

7 0

2 years ago

Y=x+1 y+x=5 Cant figure out what i am suppose to do with this problem