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Alborosie
3 years ago
7

if 4 is subtracted form the half of the square of a natural number, the result is 14, find the numbers​

Mathematics
1 answer:
GaryK [48]3 years ago
5 0

Answer:

Suppose~that~the~natural~number~is~x.\\According~to~question,\\\frac{x^2}{2}-4=14\\or, \frac{x^2}{2}=18\\or, x^2=36\\or, x=+6~or~-6\\x~cannot~be~equal~to~-6~since~it~is~a~natural~number.\\So,~the~required~number~is~6.

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In ΔKLM, the measure of ∠M=90°, LK = 97, ML = 65, and KM = 72. What is the value of the sine of ∠L to the nearest hundredth?
Sphinxa [80]

Answer:

0.74

Step-by-step explanation:

72/97 is 0.74 rounded to the nearest hundredths.

6 0
3 years ago
Find the area and the circumference of a circle with a diameter 8yrd.
nalin [4]

Answer:

Part 1) The area of the circle is A=50.24\ yd^2

Part 2) The circumference of the circle is C=25.12\ yd

Step-by-step explanation:

step 1

The area of a circle is equal to

A=\pi r^{2}

we have

r=8/2=4\ yd ---> the radius is half the diameter

\pi =3.14

substitute

A=(3.14)(4)^{2}

A=50.24\ yd^2

step 2

The circumference of a circle is equal to

C=\pi D

we have

D=8\ yd

\pi =3.14

substitute

C=(3.14)8

C=25.12\ yd

3 0
3 years ago
Explain<br> how u subtract 247 from 538
VashaNatasha [74]
247- 538 = -291
If you line them up in that order 247 you'll have to borrow. Your answer would be -291
                                                  -538

The only way to not get -291 is to flip the two numbers.
6 0
3 years ago
Read 2 more answers
Devon made a box with length x+1, width x+3, and height x-3. What is the volume of Devon's box as a function of x?
erica [24]

Answer:

(a)

V=x^3+x^2-9x-9

(b)

x=10

(c)

x=\frac{7}{2}

Step-by-step explanation:

we are given

length is x+1

L=x+1

width is x+3

W=x+3

height is x-3

H=x-3

(a)

we can use volume formula

V=L\times W\times H

now, we can plug it

V=(x+1)\times (x+3)\times (x-3)

now, we can simplify it

V=x^3+x^2-9x-9

(b)

we are given volume =1001

so, we can set V=1001

and then we can solve for x

V=x^3+x^2-9x-9=1001

now, we can factor it

\left(x-10\right)\left(x^2+11x+101\right)=0

x-10=0

x=10

(b)

we are given volume

so, we can set

V=14\frac{5}{8}=\frac{14\times 8+5}{8}

V=\frac{117}{8}

and then we can solve for x

V=x^3+x^2-9x-9=\frac{117}{8}

now, we can factor it

8x^3+8x^2-72x-189=0

\left(2x-7\right)\left(4x^2+18x+27\right)=0

2x-7=0

x=\frac{7}{2}

8 0
3 years ago
Help me please..............
larisa [96]

Answer:

a.)48

b.)528

c.)448

Step-by-step explanation:

a.)8x8=64. 4x4=16 64-16=48

b.)48(from a. answer)x11=528

c.)11x8(x2 for the other side)=176. 11x4x4=176.

48x2=96. 176+176+96=448

3 0
3 years ago
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