From what I imagine in the problem description, the toy is located on the ground. Then, Belkis is pulling on the string to keep the toy moving just like how you put a leash on a dog. My illustration is shown in the picture. The F arrow is where Belkis pulls it. Its component vectors are Fx and Fy, as shown.
From the figure, we can see that it forms a right triangle. So, it makes it easy because the pythagorean theorems are applicable and we can easily use trigonometric functions. First, let's determine Fy which is located opposite to the angle. Since we know the hypotenuse F to be 1.5 N, so we use the sine function:
sin 52° = Fy/F = Fy/1.5
Fy = 1.182 NFor the horizontal component, Fx is parallel to the adjacent side with respect to the angle. Thus, we use the cosine function.
cos 52° = Fx/F = Fx/1.5
Fx = 0.923 N
Answer:
<h2>Number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.</h2>
Step-by-step explanation:
Let's develop each sequence. Remembe that the rule is "add 15", that's what we need to create each sequence starting from the given initial number.
<h3>Pattern A.</h3>

<h3>Pattern B.</h3>

<h3>Pattern C.</h3>

As you can observe, number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.
Lucia made a mistake when she rewrote the formula

To rewrite the formula to x is a function of y. we have to add 2y to both sides of the formula. Instead of adding 2y, Lucia subtracted 2y from the right side.
Instead of what she did, x should be written the following way
Answer:
We conlude that it is cluster random sample.
Step-by-step explanation:
We know that:
The buyer for an electronics store wants to estimate the proportion of defective wireless game controllers in a shipment of 5,000 controllers from the store's primary supplier. The shipment consists of 200 boxes each containing 25 controllers. The buyer numbers the boxes from 1 to 200 and randomly selects six numbers in that range. She then opens the six boxes with the corresponding numbers, examines all 25 controllers in each of these boxes, and determines the proportion of the 150 controllers that are defective.
We conlude that it is cluster random sample.
Answer:
1-Arc PQ is congruent to arc SR.
2-The measure of arc QR is 150°.
4-Arc PS measures about 13.1 cm.
5-Arc QS measures about 15.7 cm
Step-by-step explanation:
1,2,4,5