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Nataliya [291]
3 years ago
7

In parallelogram ABCD, AB=7cm and the perimeter of ABCD is 30cm. What is the length of AD?

Mathematics
1 answer:
Drupady [299]3 years ago
3 0

Answer:

8cm

Step-by-step explanation:

Ab=7cm

Since opposite sides are equal

Cd=7cm

7cm + 7cm = 14cm

Perimeter equals 30cm

:.30cm - 14cm =16cm (bc+ad)

Since both bc and ad are equal,

16cm/2=8cm

:.ad=8cm

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Evaluate the following expression,<br> 5x [7+ (10-2) + 4)
strojnjashka [21]

Answer: 95x

Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)

Add 7 and 10.

5x(17-2+4)

Add 15 and 4.

5x multiped by 19

Multiply 19 by 5

95x

5 0
2 years ago
The legs of a right triangle are 6 units and 7 units. What is the length of the hypotenuse?
Ksju [112]

Answer: Square root 85 units

Step-by-step explanation:

Given: The legs of a right triangle are 6 units and 7 units.

Let h be the hypotenuse of the right triangle.

By Pythagoras theorem of right triangle, we have

h=\sqrt{6^2+7^2}\\\\\Rightarrow\ h=\sqrt{36+49}\\\\\Rightarrow\ h=\sqrt{85}

Hence, the  length of the hypotenuse=\sqrt{85}\text{ units.}

  • Pythagoras theorem of right triangle says that the square of the hypotenuse  is equal to the sum of the squares of the other two sides.
3 0
2 years ago
Leila has $420 in her bank account. Every month, she deposits another $40 into her account. At this rate, in how many more month
Paladinen [302]

Answer:

12

Step-by-step explanation:

Equation y=40x+420

plur in 900 to the y

900=40x+420

subtract

480=40x

divide

x=12

7 0
2 years ago
How do you solve 800m 35cm-154m 49cm for the smaller unit?
bearhunter [10]
1 m = 100 cm
800 m = 800 x 100 = 80000 cm
Therefore, 800 m 35 cm = 80000 cm + 35 cm = 80035 cm

Also, 154 m = 154 x 100 = 15400 cm
Therefore, 154 m 49 cm = 15449 cm

Therefore, <span>800m 35cm - 154m 49cm = 80035 cm - 15449 cm = 64586 cm = 645m 86cm</span>
4 0
2 years ago
Answer...........................
Usimov [2.4K]

Answer:

9.9 years

Step-by-step explanation:

A = P e ^(rt)

Where A is the amount in the account

P is the amount invested

R is the interest rate

t is the time

P = 8500

r =7% = .07

A = 17000

Substituting into the equation

17000=8500 e^(.07t)

Divide each side by 8500

17000/8500=8500/8500 e^(.07t)

2 = e^(.07t)

Take the natural log of each side

ln (2) = ln e^(.07t)

ln(2) = .07t

Divide each side by .07

ln(2)/.07 = .07t/.07

ln(2)/.07 = t

9.902102579=t

Rounding to one decimal place

9.9 years

4 0
3 years ago
Read 2 more answers
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