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Ganezh [65]
3 years ago
10

2. A rectangle has a perimeter of 100. Its

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

Option H

Step-by-step explanation:

Perimeter of rectangle= 2(length) +2(width)

100= 2(5a -22) +2[½(a +1)]

Expand:

100= 2(5a) +2(-22) +a +1

100= 10a -44 +a +1

Simplify:

100= 11a -43

+43 on both sides:

11a= 100 +43

11a= 143

Divide both sides by 11:

a= 143 ÷11

a= 13

Thus, option H is correct.

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There are 3 consecutive even integers that have a sum of 30. What are the integers?
trasher [3.6K]

Answer:

8, 10, 12

Step-by-step explanation:

x+x+2+x+4=30

3x+6=30

3x=30-6

3x=24

x=8

4 0
1 year ago
Difficult Math. Up to the challenge?
saw5 [17]

Answer:

We have the three angles of a triangle as an equation, so we can add them together, and they equal 180.

So:

4x+10+12x-6+3x+5= 19x+9=180

19x=171 ... so: x= 171/19 = 9.

So ABC = 102 .. Obtuse angle

BAC = 46 .. Acute angle

BCA = 32 .. Acute Angle

Edit:

Angle 1 = 180 - BAC = 180 - 46 = 134

Angle 2= 180 - ABC = 180 - 102 = 78

3 0
3 years ago
Select the correct answer. What is the inveSelect the correct answer.
Oksi-84 [34.3K]

Answer:

x + 3 / 2 = y

Step-by-step explanation:

to change a function to its inverse we need to do three basic things

1. change f(x) to y

so for the example i gave which is f(x) = 2x - 3; this will now be

y = 2x - 3

2. we need to switch the position of the x's and y's, that means x becomes y and y becomes x

x = 2y - 3

3. finally we make y the subject of the formula

x + 3/ 2 = y, this new expression for y is the inverse of the function and can be written as

f^-1(x) = x + 3/2

7 0
4 years ago
Please help me I give you 33 points
Misha Larkins [42]

1: It is a biography because it is describing/showing an event of a persons life through someone other than that person.

2: The text includes a <u>heading</u> and a <u>labeled diagram</u>

3: It allows you to better understand exactly when the events are taking place.

4: Because the text includes a labeled timeline that shows you the events in chronological order.

Hope I could help. ^^


7 0
3 years ago
A restaurant sees about 600 orders on Tuesday. This is down from last Tuesday by about 0.85%. How many did they see last Tuesday
zaharov [31]

Answer:

Number of orders seen on last Tuesday = 605

Step-by-step explanation:

Number of orders seen on Tuesday = 600

It is given that it is 0.85% less than last Tuesday.

Let number of sales on last Tuesday = x

As per question statement:

Number of order on last Tuesday - 0.85% of Number of order on last Tuesday = 600

OR

i.e. if we subtract 0.85% of x from x, it must be equal to 600.

x-\dfrac{0.85}{100}x =600\\\Rightarrow x-\dfrac{0.85}{100}x =600\\\Rightarrow \dfrac{100-0.85}{100}x =600\\\Rightarrow \dfrac{99.15}{100} \times x =600\\\Rightarrow x =\dfrac{600\times 100}{99.15}\\\Rightarrow x =\dfrac{60000}{99.15}\\\Rightarrow x \approx 605

So, there were about 605 order seen last Tuesday.

8 0
3 years ago
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