All categories

2 years ago

Please help me with my math

Mathematics

1 answer:

e-lub [12.9K]2 years ago

4 0

3z - 12 = 63
+ 12 +12
3z = 75
z = 25

x + 63 = 180
- 63 - 63
x = 117°

You might be interested in

Which number has a value between -8.423 and -8.395?

pav-90 [236]

Answer:

Step-by-step explanation:

Jmeu eimejrimr

5 0

3 years ago

What is the missing length??

amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

$(15 + x) : (12 + 8) = x : 8$

$15 + x : 20= x : 8$

Convert to fraction

$\frac{15 + x}{20} = \frac{x}{8}$

Cross Multiply:

$(15 + x)*8 = 20 * x$

$120 + 8x = 20x$

Collect Like Terms

$20x - 8x = 120$

$12x = 120$

Solve for x

$x = \frac{120}{10}$

$x = 10$

<em>The length of the missing side is 10</em>

4 0

3 years ago

A business was valued at £17000 at the start of 2011. In 6 years, the value of this business was raised to £186000. This is equi

NemiM [27]

The business was valued at £17000 at the start of 2011. In 6 years, the value of this business was raised to £186000. This is equivalent to a yearly increase of 49.0%.

Given that, A=£17000, P=£186000, r=x%, t=6 years

<h3>What is compound interest?</h3>

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

We know that, $A=P(1+\frac{r}{100} )^{n}$

Wow, $186000=17000(1+\frac{x}{100} )^{6}$

⇒ $10.94=(1+\frac{x}{100} )^{6}$

⇒ $1.4891=1+\frac{x}{100}$

⇒ $0.4891=\frac{x}{100}$

⇒x=48.91%~49.0%

Therefore, the value of x is 49.0%.

To learn more about compound interest visit:

brainly.com/question/13001287

#SPJ1

7 0

1 year ago

A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

2 years ago

Simplify each of the following powers of i. i^99=

Scorpion4ik [409]

I= sqrt (-1)

If the power is
- even then the value could be -1 or 1
-odd then the value could be -i or i

99 is odd so now is
-i if (99+1)/2 is even or is
i is (99+1)/2 is odd

Now check (99+1)/2= 100/2= 50,
50 is even so
i^99 = -i

8 0

2 years ago

Read 2 more answers