I need help with this problem asap 1/3 + 5 3/4=?

Answers

Answer 1

Answer:

Answer:

6 1/12

Step-by-step explanation:

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(0)Radio direction finders are placed at points A and B, which are 4.32 mi apart on an east-west line, with A west of B. The transmitter has bearings 10.1 from A and 310.1 from B. Find the distance from A.

Answers

2.95 miles

The question involves radio direction finders placed at two points, A and B, which are 4.32 miles apart on an east-west line. The transmitter has bearings 10.1 degrees from A and 310.1 degrees from B. The task is to determine the distance from A.In order to determine the distance from A, the first step is to construct a diagram of the scenario to visualize the placement of the three points, A, B, and the transmitter. To do so, a coordinate system is used, with A being located at the origin (0,0).The bearing of the transmitter from A is 10.1 degrees, which can be plotted on the diagram as a straight line from the origin to an angle of 10.1 degrees to the east. Similarly, the bearing of the transmitter from B is 310.1 degrees, which can be plotted on the diagram as a straight line from point B to an angle of 49.9 degrees to the west.To determine the distance from A, the Law of Cosines can be applied, which states that c^2 = a^2 + b^2 − 2ab cos(C), where c is the unknown side, a and b are the known sides, and C is the angle opposite the unknown side. In this case, c is the distance from A, a is the distance from B, and b is the distance between A and B. The angle C is equal to the sum of the two bearings (10.1 + 49.9 = 60 degrees).Therefore, c^2 = a^2 + b^2 − 2ab cos(C) can be rewritten as:dA^2 = d^2 + 4.32^2 - 2d(4.32)cos(60)dA^2 = d^2 + 4.32^2 - 2d(4.32)(1/2)dA^2 = d^2 + 4.32^2 - 2.16dTo solve for dA, the equation can be rearranged and solved for d:0 = d^2 - 2.16d + dA^2 - 4.32^2d = 1.08 ± sqrt(1.08^2 - dA^2 + 4.32^2)The positive root of this equation can be used to determine dA:dA = 1.08 + sqrt(1.08^2 - d^2 + 4.32^2)dA = 1.08 + sqrt(1.08^2 - 4.32^2 cos^2(10.1))dA ≈ 2.95 milesTherefore, the distance from A is approximately 2.95 miles.

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Which statements are correct about quadrilaterals?Choose all answers that are correct.

A.
All squares are rhombuses.

B.
All rectangles are parallelograms.

C.
All rhombuses are trapezoids.

D.
All 4-sided shapes have at least one pair of parallel sides.

Answers

Hello,

A: True (4 sides equals in a square)

B: True all rectangle has a symetry centre

C: True (2 sides // in a rhombuse since is a parallelogram)

D:False

A package of ground beef costs $6.98. The price per pound is $3.86. How many pounds of ground beefare in the package? Round to the nearest hundredth.
A. .27
B. 1.81
C. 1.80
D. 1.72

Answers

We have to find how many pounds of ground beef are in the package and to round that number to the nearest hundredth. We know that a package costs $6.98 and that the price per pound is $3.86. We will divide the cost of a package by the price per pound. 6.98 : 3.86 = 1.80829. When we round it to the nearest hundredth it is 1.81. Answer: B ) 1.81.

Answer:

B. 1.81 pounds.

Step-by-step explanation:

We have been a package of ground beef costs $6.98. The price per pound is $3.86.

To find the number of pounds of ground beef in the package we will divide the cost of package by cost of each pound of ground beef.

$\text{The number of pounds of ground beef in the package}=(\$6.98)/(\$3.86)$

$\text{The number of pounds of ground beef in the package}=1.808290155$

Upon rounding our answer to nearest hundredth we will get,

$\text{The number of pounds of ground beef in the package}\approx 1.81$

Therefore, there were 1.81 pounds of ground beef in the package and option B is the correct choice.

Which unit would you use to measure the weight of a car?

g
kg
mg
km

Answers

kg the rest are to small and km is for length.

An accurate answer would be appreciated. please and thank you

Answers

Yes, these lines are parallel because they are going in the same direction, same distance from each other, and do not ever intersect.

This could also be reworded to same slope but different y-intercepts.

pizza perfection sold 93 pizzas on Monday, 67 pizzas on Tuesday, 78 pizzas on Wednesday, 44 pizzas on Thursdays, and 123 pizzas on Friday. on average how many pizzas did they sell per day?