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2 years ago

The quadrilateral TOMA on a coordinate plane has the following characteristics.

Mathematics

1 answer:

guapka [62]2 years ago

7 0

Answer:

trapezoid

Step-by-step explanation:

y = 4x slope = 4

y' = 4x -16 slope = 4

TA // OM

TA: -1 ≤ x ≤ 0 (limited value)

OM: 3 ≤ x ≤ 5

TA and OM limited in different range, their length is not equal

The shape is a trapezoid

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You start at (2, -4). You move up 4 units. Where do you end?

NeTakaya

Answer:

(2, 0)

Step-by-step explanation:

Hope This Helps! : )

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3 years ago

Please answer A S A P

guajiro [1.7K]

Answer:

1, i) equation for Mike's Repair Shop = $65x + $100

ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3. x = 4

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 3 + $40 = $280 and Mike's will cost = $65 $\times$ 3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 6 + $40 = $520 and Mike's will cost = $65 $\times$ 6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

Step-by-step explanation:

i) x = number of hours worked

ii) y = total cost

1, i) equation for Mike's Repair Shop = $65x + $100

ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3. 15x = 60, therefore x = 4

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 3 + $40 = $280 and Mike's will cost = $65 $\times$ 3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 6 + $40 = $520 and Mike's will cost = $65 $\times$ 6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

4 0

3 years ago

Kindly i need solution of these both parts a and b which are attached below

Nikitich [7]

9514 1404 393

Answer:

a) 252 cm³, 252 cm², 705.6 g

b) 240 cm³, 252 cm², 672 g

Step-by-step explanation:

The volume of each figure can be computed as the product of the base area (the side facing the viewer) and the "height" of the prism (the distance between bases).

The surface area of the prism is the sum of the two base areas and the "lateral area" consisting of the product of the base perimeter and the "height" of the prism.

The mass will be the product of volume and density.

ai) The base is a 3 cm by 8 cm rectangle together with a trapezoid with bases 3 cm and 6 cm, and height 7 - 3 = 4 cm.

B = (3 cm)(8 cm) +(1/2)(3 cm +6 cm)(4 cm) = 24 cm² +18 cm² = 42 cm²

The "height" is 6 cm, so the volume is ...

V = Bh = (42 cm²)(6 cm) = 252 cm³

aii) The perimeter of the base is the sum of its side lengths. Clockwise from left, the lengths are ...

(8 +3 +2 +5 +3 +7) cm = 28 cm

Then the lateral area is ...

LA = Ph = (28 cm)(6 cm) = 168 cm²

Adding this to the areas of the two bases, we get the total surface area:

A = LA +2B = (168 cm²) + 2(42 cm²) = 252 cm²

aiii) The mass is the product of volume and density:

M = ρV = (2.8 g/cm³)(252 cm³) = 705.6 g

____

bi) This trapezoidal prism has a base that has bases of 6 and 9 cm, and a height of 4 cm. The area of the base is ...

B = (1/2)(b1 +b2)h = (1/2)(6 cm + 9cm)(4 cm) = 30 cm²

Then the volume is ...

V = Bh = (30 cm²)(8 cm) = 240 cm³

bii) The lateral area is the perimeter of the base times the height of the prism:

LA = Ph = (4 +6 +5 +9 cm)(8 cm) = 192 cm²

The total area is this area plus that of the two bases:

A = LA +2B = (192 cm²) +2(30 cm²) = 252 cm²

biii) M = ρV = (2.8 g/cm³)(240 cm³) = 672 g

3 0

3 years ago

The length of a bridge on a map is 1.5 cm. What is the actual length of the bridge in meters if the map is drawn at a scale of 1

Vitek1552 [10]

Answer:

The actual length of the bridge is 600 meters

Step-by-step explanation:

we know that

The scale on a map is

$\frac{1}{40,000}$

That means

1 unit on a map represent 40,000 units in the actual

1 cm on a map represent 40,000 cm in the actual

Remember that

$1/ m=100/ cm$

$40,000\ cm=40,000/100=400\ m$

we can rewrite the scale as

$\frac{1}{400}\frac{cm}{m}$

using proportion

Find out the actual length of the bridge in meters if the length of a bridge on a map is 1.5 cm.

Let

x ----> the the actual length of the bridge in meters

$\frac{1}{400}\frac{cm}{m}=\frac{1.5}{x}\frac{cm}{m}\\\\x=400(1.5)\\\\x=600\ m$

6 0

3 years ago

Find the slope of the line below

charle [14.2K]

Answer:

-2

Step-by-step explanation:

$\boxed{slope = \frac{y1 - y2}{x1 - x2} }$

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

Given that the two points (-12, 10) and (-10, 6) lie on the line,

slope of the line

$= \frac{10 - 6}{ - 12 - ( - 10)}$

$= \frac{4}{ - 12 + 10}$

$= \frac{4}{ - 2}$

$= - 2$

<u>Extra</u><u>:</u>

The line has a negative slope as looking from the left to right, the line is sloping downwards.

6 0

3 years ago