All categories

3 years ago

A,b & c form a triangle where BAC =90 degrees AB=7.5 mm BC=16.7mm find the length of AC giving your answer rounded to 1DP

Mathematics

1 answer:

svet-max [94.6K]3 years ago

4 0

Answer:

18.3mm

Step-by-step explanation:

using pythagoras

AC = $\sqrt{7.5^{2} + 16.7^{2} }$

AC = 18.3 mm

You might be interested in

2. It’s time for Ronda to start repaying her student loans, which are amortized over the next 10 years. Her first month’s paymen

grigory [225]

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is<u> $396.</u>

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

A portion going towards the principal(debt )
A portion going towards the interest accumulated.

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

<em>Find out more at brainly.com/question/12256592. </em>

7 0

3 years ago

10.

vodomira [7]

<h3>Solution:</h3>

Given, side (a) = x+3
We know, surface area of a cube = 6a^2
Therefore, the surface area of the cube

<h3> </h3><h3> $6(x + 3) ^{2} \\ = 6( {x}^{2} + 6x + 9) \\ = 6 {x}^{2} + 36x + 54$ </h3><h3>Answer:</h3>

The answer is

${6x}^{2} + 36x + 54$

<h3>Hope it helps.</h3>

Sorry for delay

3 0

3 years ago

What is the solution to the equation below?<br> -3 + square root 3x - 11 = 5

aev [14]

Answer:

25 is correct answer try it

Step-by-step explanation:

Answer:

25 is correct answer try it

squareroot (3x-11)^2=(5+3)^2

3x-11=64

3x=64+11

3x=75

x=25

6 0

2 years ago

Which of the following equations matches the proportional relationship?

algol13

Answer:

Option (A) will be the correct match.

Step-by-step explanation:

We are asked to find which of the given equations matches the proportional relationship.

The only option (A) matches,

It is given that a cell phone rates plan costs 6 cents per minute.

Now, 6 cents is equivalent to $0.06.

Therefore, for a call of duration x minutes the cost of the call y, in dollars, will be given by

y = 0.06x

So, option (A) will be the correct match. (Answer)

8 0

3 years ago

The thickness X of aluminum sheets is distributed according to the probability density function f(x) = 450 (x2 - x) if 6 < x

grandymaker [24]

Solution :

Given :

$f(x) = \left\{\begin{matrix}\frac{1}{450}(x^2-x) & \text{if } 6 < x < 12 \\ 0 & \text{otherwise}\end{matrix}\right.$

1. Cumulative distribution function

$P(X \leq x) = \int_{- \infty}^x f(x) \ dx$

$=\int_{- \infty}^6 f(x) dx + \int_{6}^x f(x) dx$

$=0+\int_6^x \frac{1}{450}(x^2-x) \ dx$

$=\frac{1}{450} \int_6^x (x^2-x) \ dx$

$=\frac{1}{450}\left[\frac{x^3}{3}-\frac{x^2}{2}\right]_6^x$

$=\frac{1}{450}\left[ \left( \frac{x^3}{3} - \frac{x^2}{2}\left) - \left( \frac{6^3}{3} - \frac{6^2}{2} \right) \right]$

$=\frac{1}{450}\left[\frac{x^3}{3} - \frac{x^2}{2} - 54 \right]$

2. Mean $E(x) = \int_{- \infty}^{\infty} \ x \ f(x) \ dx$

$=\int_{6}^{12}x . \left( \frac{1}{450} \ (x^2-x)\right)\ dx$

$=\frac{1}{450} \int_6^{12} \ (x^3 - x^2) \ dx$

$=\frac{1}{450} \left[\frac{x^4}{4} - \frac{x^3}{3} \right]_6^{12} \ dx$

$=\frac{1}{450} \left[ \left(\frac{(12)^4}{4} - \frac{(12)^3}{3} \right) - \left(\frac{(6)^4}{4} - \frac{(6)^3}{3} \right)$

$=\frac{1}{450} [4608 - 252]$

= 17.2857

5 0

3 years ago