All categories

3 years ago

The perimeter of this rectangle is 24cm. If the length is 8 cm, what is the height?

Mathematics

2 answers:

gulaghasi [49]3 years ago

7 0

Answer:

h = 4 cm

Step-by-step explanation:

$2(l + h) = 24 \\ l + h = \frac{24}{2} \\ l + h = 12 \\ 8 + h = 12 \\ ..(plug \: l = 8) \\ h = 12 - 8 \\ h = 4 \: cm \\$

Gemiola [76]3 years ago

3 0

Answer:

Step-by-step explanation:

P = s+s+s+s

length = 8

8x2=16

24-16=8

8 / 2 = 4

You might be interested in

I need to know if it’s A B C OR D

Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

$\angle NMP+\angle NOP=180^0$

Recall that

$\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}$

Hnece, we have that

$\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}$

Then

$\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}$

Hence

x=17

Since

$\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}$

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

5 0

1 year ago

Someone plz help me :<

BartSMP [9]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Using technology, determine the monthly payment on a 35 month loan of $28,000 at 8.1% compounded annually. Round you answer to t

sdas [7]

Present Value of an annuity is given by the formular
PV = P(1 - (1 + r)^-n)/r; where PV = $28,000, r = 0.081/12 = 0.00675, n = 35 and P is the periodic (monthly) payment.

P = PVr/(1 - (1 + r)^-n) = (28,000 x 0.00675)/(1 - (1 + 0.00675)^-35) = 189/0.2098 = 900.90

Therefore, the monthly payment is $900.90

7 0

2 years ago

Help Please!<br> I only have 52 minutes and I really don’t understand this

Paraphin [41]

Answer:

the first answer

Step-by-step explanation:

5 0

2 years ago

Please answer ASAP....thanksss

Ipatiy [6.2K]

Answer:

Hi! The answer to this is 36!

Step-by-step explanation:

Have a nice day and I hope you do well on your quiz or test!

5 0

3 years ago

Read 2 more answers