Find m∠U. Write your answer as an integer or as a decimal rounded to the nearest tenth.

a person who is 5 feet tall is standing 110 feet from the base of a tree, and the tree cast a 120 foot shadow. the person's shad

Papessa [141]

5/x = 10/120

cross multiply

10x = 600

divide by 10

x = 60

5 0

4 years ago

Two 2 1/2 inch plastic strips and two 5 1/3 plastic strips are used to form a rectanlge. What is the perimeter of the rectangle?

malfutka [58]

We have been given that two 2 1/2 inch plastic strips and two 5 1/3 plastic strips are used to form a rectangle.

Let us find the length of the plastic strips.

Two 2 1/2 inch

= $2 \times 2\frac{1}{2}\\=2 \times\frac{5}{2} \\ \\=5 \text{ inches}$

Two 5 1/3 inch

$= 2 \times 5\frac{1}{3}\\=2 \times\frac{16}{3} \\ \\=\frac{32}{3} \text{ inches}$

Therefore, the perimeter of the rectangle is given by

$5+ \frac{32}{3}\\ =\frac{47}{3} \\ \\= 15.7\text{ inches}$

The perimeter of the rectangle is 15.7 inches.

5 0

3 years ago

Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.

Marina CMI [18]

Answer:

Each has to work 5 hours and earn $42

Step-by-step explanation:

Let m and h represent hours Nai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have ...

7m +14h = 8.40(m+h)

5.60h = 1.40m . . . . . . . . subtract 7m+8.40h

m = 4h . . . . . . . . . . . . . . divide by 1.40

Then the total number of hours worked by either person is ...

m + h = (4h) +h = 5h

If only whole numbers of hours are worked, then the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Each must work 5 hours and earn $42 before they go to the movies.

__

Nai will work 4 hours mowing and 1 hour hauling.

4 0

3 years ago

Can someone please help me with this?? I will like your comment!

Sedaia [141]

Answer:

$A_{\Delta ABP}=\sin \theta$

Step-by-step explanation:

Let the center of the circle be O.

Recall that the area of a triangle can be given by:

$\displaystyle A=\frac{1}{2} ab\sin C$

Where C is the angle between the two sides.

ΔABP is equal to the sum of ΔAPO and ΔBOP.

Let a = OP and b = OB. Since this is the unit circle and PO and BO are radii, they both equal one. C will be θ. Hence, the area of ΔBOP is:

$\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta$

For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:

$\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)$

However, note that sin(π - θ) = sin(θ). Hence:

$\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)$

Hence, the area of ΔABP is:

$\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta$

7 0

3 years ago

Question 1: An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You buy an

ch4aika [34]

Answer:

10 + m ≥ 30

You must spend AT MOST $20 or more

Step-by-step explanation:

Basically you have already spent 10 dollars and you have to pay MORE than or equal to 30. You cannot pay less than because you want the free songs. So the sign has to be ≥ or the inequality will not be true.

10 + m ≥ 30

10 - 10 + m ≥ 30 - 10 ( subtract 10 from each side to isolate m)

m ≥ 20 ( we are left with this )

The answer is :

m ≥ 20

You must spend at most 20 dollars more to get the 3 free cd's. Your welcome :D

5 0

4 years ago