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3 years ago

What is the value of x

Mathematics

2 answers:

morpeh [17]3 years ago

7 0

using the formula of C^2 = A^2 + B^2

10^2= 6^2 + B^2

100 = 36 + B^2

100 - 36 = B^2

64 = B^2

Square Root of 64 = 8

value of x = 8

SVEN [57.7K]3 years ago

4 0

Using the pythagorean theorem, the value of x would be eight. The equation of Pythagorean is

a^2 + b^2 = c^2

(C is the hypotenuse. Hypotenuse being the length of 10) Applying the lengths leaves us with the equation

36 + x^2 = 100.

You then subtract 36 from 100 to get X alone on the opposite side of the equation.

X^2 = 64

Lastly, you take the square root of 64. Therefore, the final answer will be eight.

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8. Mr. Azu invested an amount at rate of 12% per annum and invested another amount, GH¢

sashaice [31]

Answer:

GH¢. 18098.46

Step-by-step explanation:

Let the first investment giving 12% interest per annum be Bank A

Let the 2nd investment giving 10% per annum be bank B

Let the first amount invested be

GH¢. X and let the second amount invested be GH¢. X + 580

Thus; In bank A;

Principal amount in first = GH¢. x

rate = 12 %

time = 1 year

Formula for simple interest = PRT/100

Where P is principal, R is rate and T is time.

So, interest in his investment = 12X/100 = 0.12X

while in bank B;

principal amount = GH¢. X + 580

rate = 14%

time = 1 yr

So, interest in his investment = [(X + 580) × 14]/100

= 0.14(X + 580)

So, total accumulated interest is;

0.12X + 0.14(X + 580) = 0.12X + 0.14X + 81.2 = 0.26X + 81.2

Now, we are given accumulated interest = GH¢. 2,358.60

Thus;

2358.60 = (0.26X + 81.2)

2358.6 - 81.2 = 0.26X

X = 2277.4/0.26

X = 8759.23

So,

first amount invested = GH¢. 8759.23

Second amount invested = GH¢. 8759.23 + GH¢. 580 = GH¢. 9339.23

Total amount invested = GH¢. 8759.23 + GH¢. 9339.23 = GH¢. 18098.46

4 0

2 years ago

Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.

kirill115 [55]

Answer:

2(x + 1) = 10

x = 4

Step-by-step explanation:

Given:

2(x + 1) = 10

Solution:

Apply Distributive property

A*(B+C) = (A*B) + (A*C)

This means multiply 2 with x and 1

2*(x+1) = (2*x) + (2*1)

2x + 2 = 10

Use Subtraction property of equality

A = B, then A - C = B - C

Subtracting 2 from both sides:

2x + 2 - 2 = 10 - 2

2x = 8 Step 3

Use Division property of equality

It state that if you divide both sides of an equation by same nonzero number then the sides remain equal

Dividing both sides by 2

2x/2 = 8/2

x = 4

This means value of x is 4

Another method to solve this equation is:

2(x+1)=10

Use Distributive property

A*(B+C) = (A*B) + (A*C)

2*(x+1) = (2*x) + (2*1)

2*(x+1) = 2x + 2

Use commutative property

A + (-B) = (-B) + A

2x + 2 + (-2) = 2x + (-2) + 2

2x + 2 + (-2) = 10 + (-2)

2x + 2 - 2 = 10-2

2x = 8

Using division property

AX = B

AX / A = B / A

X = B/A

This becomes:

2x = 8

2x = 8.

Divide both sides by 2

2x / 2 = 8 / 2

x = 4

3 0

3 years ago

(-14) - 27 <br> PLEASE HELP ITS FOR A TEST! ASAP PLEASE

alexandr1967 [171]

Answer:

-41

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

lakkis [162]

The lateral area of a cylinder is given by:
Area=πrl+2πr^2
radius,r=12 mm
length,l=5*12=60mm
therefore the lateral area will be:
Area=π*12*60
Area=2,261.95 mm^2
The area of the bases will be:
A=2*π*12^2=904.78 mm^s
The lateral area will be:
2,261.95+904.78
=3,166.73
=3167 mm^2

5 0

3 years ago

To describe a specific arithmetic sequence, Elijah wrote the recursive formula:

11111nata11111 [884]

Answer:

$t_{n} = 30 + 7n$ , where, n = 0, 1, 2, 3, 4, .........

Step-by-step explanation:

Given the arithmetic sequence in recursive formula.

f(0) = 30 and f(n + 1) = f(n) + 7 ......... (1)

Therefore, putting n = 0 in equation (1) we get f(1) = f(0) + 7 = 30 + 7 = 37 {Since, f(0) is given to be 30}

Again, putting n = 1 in equation (1) we get f(2) = f(1) + 7 = 37 + 7 = 44

And, putting n = 2 in equation (1) we get f(3) = f(2) + 7 = 44 + 7 = 51

and so on.

Therefore, the arithmetic sequence is 30, 37, 44, 51, .......

Therefore, the linear equation of this sequence is given by $t_{n} = 30 + 7n$ , where, n = 0, 1, 2, 3, 4, .........

(Answer)

3 0

3 years ago

What is the value of x ​

What is the value of x