24+ =120÷3
what's supposed to be in the space?

Answers

Answer 1

Answer: so first you simplify
24+x=120/3
120/3=40
24+x=40
subtract 24 from both sides
x=16

Answer 2

Answer: 120/3= 40
40-24=16

16 is in the blank space

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Determine the missing information in the paragraph proof. Given: Line PQ contains points (w, v) and (x, z) and line P'Q' contains points (w + a, v + b) and (x + a, z + b). Lines PQ and P'Q' are parallel. Prove: Parallel lines have the same slope. Since slope is calculated using the formula , the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.

A hummingbird is flying toward a large tree that has a radius of 6 feet. When it is 33 feet from the center of the tree, its lines of sight form two tangents. What is the measure of the arc on the tree that the hummingbird can see?

Answers

Answer:

Length of the arc = 5.25017 feet

Step-by-step explanation:

The line from the middle of the tree to the tip of the tangent lines is 33 ft and from the circumference of the tree its 27ft. One of the right angle triangles is picked and the angle is determined using SOHCAHTOA

Hence Tan X = 6/27

X = Tan-1 (6/27) = 12.52880770915o

Hence both sum of angles where tangent lines meet = 2 x 12.52880770915o = 25.05761541830o

Angle of the arc inside the circle = 50.115o

Length of the arc = 50.115/360 x (2x22/7 x 6) = 5.25017040025ft

A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches. How tall is the fish tank?

Answers

Answer:

fish tank is 14.87 ≈ 15 inches tall.

Step-by-step explanation:

Given : A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches.

To find : How tall is the fish tank.

Solution : We have given that volume of fish tank = 3240 cubic inches.

Length of tank = 12 inches.

Width of tank = 18 inches .

Volume of rectangular tank = length * width * height

3240 = 12 * 18* height .

3240 = 216 * height.

On dividing both side by 216 and switching the sides .

Height = $(3240)/(216)$ .

Height = 14.87 inches

Therefore, fish tank is 14.87 ≈ 15 inches tall.

Volume = length x Base x height

3240 = 18 x 12 x H

3240 = 216 x H

H = 3240 / 216 = 15 inches

Greg was adding numbers on a number line. He started on –5 and then he added –8. Greg wrote that the answer was +13. Is Greg's answer reasonable?

A.
No, it is not reasonable because –5 + –8 = –13.

B.
Yes, it is reasonable because –5 + –8 = +13.

C.
No, it is not reasonable because if you add two numbers you will get a number that is greater than either of the two numbers.

Answers

The answer is A. because this would count as subtraction anyways.

Which of the graphs above is the graph of the equation below? Y=x^3-6x^2+11x-6=(x-3)(x-2)(x-1)

Answers

Answer:

answer Z

Step-by-step explanation:

Look for a graph that contains the following zeros: x = 1, x = 2 , x= 3, following the info derived by the binomial factors that the function contains. Also look ate the fact that the function in question has for leading term positive $x^3$ , then this function must go towards plus infinity when x becomes large. This is the case for the graph option Z (the last graph of the group)

In ΔSTU, s = 1.6 cm, u = 9.5 cm and ∠U=24°. Find all possible values of ∠S, to the nearest 10th of a degree.

Answers

Final answer:

In triangle STU, the possible values for ∠S, derived by using the law of sines, are approximately 10.2° and 169.8°.

Explanation:

The student wants to find all possible values of ∠S in ΔSTU, s=1.6 cm, u = 9.5 cm and ∠U=24°. This is a problem involving the laws of sines and cosines in trigonometry. By using the law of sines, we can find ∠S = sin⁻¹ ((sin U * s) / u) ≈ 10.2° or 169.8° (since sinx is positive in both the 1st and 2nd quadrants). It is important to note that ∠S and ∠U are not complimentary angles in a right triangle, therefore, both possible values of ∠S are valid if they meet the condition that the sum of ∠S, ∠T and ∠U should be equal to 180° in ΔSTU.