Which of the following represents a biconditional statement

liam makes soap sculptures of sea turtles each sculpture weighs 3\8 pounds he ships then in a wooden box that weighs 2 pounds th

Tresset [83]

We have been given that Liam makes soap sculptures of sea turtles each sculpture weighs 3/8 pounds. He ships them in a wooden box that weighs 2 pounds. The total weight of the box filled with the sea turtles is 5 pounds.

We are asked to find the number of sea turtles in the box.

First of all, we will subtract the weight of the box from total weight to find the weight of all sea turtles.

$\text{Weight of sea turtles}=\text{Total weight}-\text{Weight of box}$

$\text{Weight of sea turtles}=\text{5 pounds}-\text{2 pounds}$

$\text{Weight of sea turtles}=3\text{ pounds}$

Now we will divide total weight of all turtles by weight of one turtle to find number of turtles.

$\text{Number of turtles}=\frac{\text{Weight of all sea turtles}}{\text{Weight of one turtle}}$

$\text{Number of turtles}=\frac{3}{\frac{3}{8}}$

$\text{Number of turtles}=\frac{3\cdot 8}{3}$

$\text{Number of turtles}=8$

Therefore, there are 8 sea turtles in the box.

6 0

3 years ago

Angle A is circumscribed about circle O what is the length of AB

Nana76 [90]

Answer:

$AB \approx 4.054$

Step-by-step explanation:

The trigonometric equations associated with the figure are, respectively:

$AB = 4\cdot \cos 73^{\circ} + 3\cdot \cos \alpha$

$4\cdot \sin 73^{\circ} = 3 +3\cdot \sin \alpha$

The components with the unknown angle are cleared and used in the fundamental trigonometric relation:

$3\cdot \cos \alpha = AB - 4\cdot \cos 73^{\circ}$

$3\cdot \sin \alpha = 4\cdot \sin 73^{\circ} - 3$

$9\cdot \cos^{2}\alpha + 9\cdot \sin^{2}\alpha =(AB-4\cdot \cos 73^{\circ})^{2}+(4\cdot \sin 73^{\circ}-3)^{2}$

$9 = AB^{2}-2.339\cdot AB + 1.368 + 0.681$

The following second-order polynomial is presented below:

$AB^{2}-2.339\cdot AB -6.951 = 0$

Roots of the polynomial are described hereafter:

$AB_{1} \approx 4.054$ and $AB_{2} \approx -1.715$

Only the first root is reasonable, as length is a positive variable. The length is $AB \approx 4.054$ .

6 0

3 years ago

Which of the following angle relationships are correct?

g100num [7]

Answer:

B but am not sure tho it's probably A

5 0

3 years ago

Find the mean of this set of numbers.

mezya [45]

This is how you find the mean of a number:

To find the mean of a number, you need to add up all the numbers listed (so, 5, -11, 7, 12, -1 and 0) and then divide it by the amount of numbers there are listed. 5 + -11 + 7 + 12 + -1 + 0 equals 12, and since there are 6 numbers you then divide 12 by 6. 12 divided 6 is 2.

So the answer is A. I hope this helped you!

3 0

4 years ago

Read 2 more answers

I need help on these problems please

Alik [6]

Alright sure:
Q5: ∠3
Q6: ∠1
Q7: ∠2
Q8: x = 25
Q9: x = 63
For Questions 8 and 9 what I did was find out the supplementary angle adjacent to the exterior angle.
8: 180° in a supp. angle. So 180-105 = 75. To make a triangle it has to be 180°. So 180 - 75-80 = 25 So x=25
9: 180° in a supp. angle. So 180-135 = 45. To make a triangle it has to be 180°. So 180 - 45-72 = 63. So x=63

Let me know if you don't understand that. If you don't get it I'll explain it further for you.

5 0

3 years ago