Bob had 2 apples Sam took 1 how many is left

Point A of rectangle ABCD is located at coordinates (3,7). If rectangle ABCD is translated down 7 and left 5, what are the new c

uranmaximum [27]

Answer:

The new co-ordinates are A¹ ( -2 , 0)

Step-by-step explanation:

Step(i):-

Point A of rectangle ABCD is located at coordinates (3,7).

Type of transformation change of co-ordinate point

Vertical translation up 'd' units (x, y)→ (x, y +d)

Vertical translation down 'd' units (x, y)→ (x, y -d)

Horizontal translation left 'C' units (x, y)→ (x - c , y)

Horizontal translation right 'C' units (x, y)→ (x + c , y)

Step(ii):-

Given rectangle ABCD is translated down 7 and left 5

Given Point A(3 ,7)

Vertical translation down '7' units t

The new co-ordinate A¹ ( 3 , 7-7)→ A¹( 3, 0) and Horizontal translation left ''5' units

Now the new co-ordinates are A¹ ( 3-5 , 7-7)

Final answer:-

The new co-ordinates are A¹ ( -2 , 0)

7 0

3 years ago

What figure has 4 sides & only one pair of parallel lines

Leto [7]

This is a trapezoid. It is a quadrilateral and only has 1 pair of parallel sides

3 0

3 years ago

In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. A

suter [353]

Answer:

a. [6.6350,7.3950]

b. ME=0.5150

Step-by-step explanation:

a. Given that n=40, $\bar x=6.88$ and that: $z_{\alpha/2}=z_{0.05}=1.645$

The required 90% confidence interval can be calculated as:

$\bar x\pm(margin \ of \ error)\\\\\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\6.88\pm(1.645\times \frac{1.98}{\sqrt{40}})\\\\=[6.3650,7.3950]$

Hence, the 90% confidence interval for the population mean cash value of this crop is [6.6350,7.3950]

b. The margin of error at 90% confidence interval is calculated as:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\=(1.645\times \frac{1.98}{\sqrt{40}})\\\\=0.5150$

Hence, the margin of error is 0.5150

8 0

3 years ago

Maya is going to an amusement park. The price of admission into the park is $10, and once she is inside the park, she will have

Gnesinka [82]

Answer:

the answer is 40 dollars

Step-by-step explanation:

all you have to do is multiply 15x2 and then add 10

3 0

3 years ago

Read 2 more answers

You are remodeling your bedroom. You will paint all 4 walls and the door. There are no windows in the room. The floor is 9' by 1

Aleksandr [31]

Answer:

Part 1) The area of the 4 walls is $368\ ft^2$

Part 2) You will have to buy 2 gallons

Part 3) You will have to buy 3 gallons

Part 4) $\$75$

Part 5) The area of the floor is $126\ ft^2$

Part 6) $\$850.5$

Part 7) $\$1,008$

Part 8) $\$472.5$

Step-by-step explanation:

Part 1) What is the area of all 4 walls together?

we know that

The area of all 4 walls together is equal to the perimeter of the floor multiplied by the height of the wall (8 ft)

so

The perimeter of the floor is

$P=2(9+14)=46\ ft$

The area of the walls is

$46(8)=368\ ft^2$

Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal$

Remember that you can't buy a fraction of gallon

so

You will have to buy 2 gallons

Part 3) How many gallons will it take to put on 2 coats of paint?

Now the area will be

$368(2)=736\ ft^2$

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal$

Remember that you can't buy a fraction of gallon

so

You will have to buy 3 gallons

Part 4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint?

To find the cost multiply the number of gallons by $25 per gallon

so

$3(25)=\$75$

Part 5) What is the area of the floor?

The area of the floor (rectangle ) is equal to multiply the length of the floor by the width of the floor

$A=(9)(14)=126\ ft^2$

Part 6) What is the cost to redo the floor in oak?

To find the cost multiply the area of the floor by $6.75 per square foot

so

$126(6.75)=\$850.5$

Part 7) What is the cost to redo the floor in maple?

To find the cost multiply the area of the floor by $8.00 per square foot

so

$126(8.00)=\$1,008$

Part 8) What is the cost to redo the floor in carpet?

To find the cost multiply the area of the floor by $3.75 per square foot

so

$126(3.75)=\$472.5$

5 0

3 years ago