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insens350 [35]
3 years ago
7

Help please! find the value of x

Mathematics
1 answer:
ella [17]3 years ago
5 0
 it should be 7
sorry if this is wrong
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A new oven is $1,500. the sales tax is 6.2%. what is the total cost of the oven including sales tax.
DIA [1.3K]

Answer:

B

Step-by-step explanation:

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Write a paragraph proof.
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It is given that line segment BC is congruent to line segment EC and that line segment AC is congruent to DC. Because of the vertical angles theorem, angle BCA is equal to angle DCE. Therefore, triangles CBA AND DEC are congruent by SAS. Using CPCTC, BA is equal to ED.
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3 years ago
Sum-R-Fun sells a jet ski for $6,700 which includes tax. They offer an installment plan that requires 20% down. After that, the
nlexa [21]

Answer:

1) The initial down payment is $1,340

2) The total monthly payment is $7,200

3) The total cost of the jet ski on the installment plan is $8,540

4) The finance charge is $1,840

Step-by-step explanation:

The financing model of Sum-R-Fun for a jet ski are as follows;

Sum-R-Fun selling price of a jet ski = $6,700

The initial down payment = 20% of the selling price of the jet ski

The amount the customer pays per month = $200

The duration or the period of the monthly payment = 3 years

1) The initial down payment = 20/100 × $6,700 = $1,340

2) The total monthly payment = Number of months per year × Number of years × The monthly (installment) payment  

∴ The total monthly payment = 12 × 3 × $200 = $7,200

3) The total cost of the jet ski on the installment plan = The initial down payment + The total monthly payment

∴ The total cost of the jet ski on the installment plan = $1,340 + $7,200 = $8,540

4) The finance charge is the cost of the credit given as follows;

The finance charge = The total cost of the jet ski on the installment plan - Sum-R-Fun selling price of a jet ski

∴ The finance charge = $8,540 - $6,700 = $1,840

5 0
2 years ago
If a polygon is rotated, which of the following characteristics of the polygon will always be the same? Select ALL that apply.
ASHA 777 [7]

Answer:

When we have a rotation about a given point, the distance between the rotated point and the axis of rotation will remain constant, the only thing that changes is the coordinates of the point.

This tell us that the main measures of any rotated shape will not change.

Then the side lengths will remain constant, this implies that the area also remains constant, and this also means that the angle measures should remain the same.

And because the perimeter is equal to the sum of all the side lengths, the perimeter also remains the same.

The only thing that changes will be the coordinates of our polygon.

4 0
3 years ago
Match each scenario involving projectile motion with the equation that describes the height of the object at time t. Tiles h = -
olga55 [171]

Answer:

  1. h = -16t^2 + 73t + 5
  2. h = -16t^2 + 5
  3. h = -4.9t^2 + 73t + 1.5
  4. h = -4.9t^2 + 1.5

Step-by-step explanation:

The general equation we use for ballistic motion is ...

  h(t)=\frac{1}{2}gt^2+v_0t+h_0

where g is the acceleration due to gravity, v₀ is the initial upward velocity, and h₀ is the initial height.

The values of g commonly used are -32 ft/s², or -4.9 m/s². Units are consistent when the former is used with velocity in ft/s and height in feet. The latter is used when velocity is in m/s, and height is in meters.

_____

Dwayne throws a ball with an initial velocity of 73 feet/second. Dwayne holds the ball 5 feet off the ground before throwing it. (h = -16t^2 + 73t + 5)

A watermelon falls from a height of 5 feet to splatter on the ground below. (h = -16t^2 + 5)

Marcella shoots a foam dart at a target. She holds the dart gun 1.5 meters off the ground before firing. The dart leaves the gun traveling 73 meters/second. (h = -4.9t^2 + 73t + 1.5)

Greg drops a life raft off the side of a boat 1.5 meters above the water. (h = -4.9t^2 + 1.5)

_____

<em>Additional comment on these scenarios</em>

The dart and ball are described as being launched at 73 units per second. Generally, we expect launches of these kinds of objects to have a significant horizontal component. However, these equations are only for <em>vertical</em> motion, so we must assume the launches are <em>straight up</em> (or that the up-directed component of motion is 73 units/second).

4 0
3 years ago
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