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3 years ago

7

use an algebraic equation to solve the problem. the sides of a triangle are in the ratio 3:4:5. what is the length of each side

if the preimeter of the triangle is 90 cm

1 answer:

STatiana [176]3 years ago

5 0

This should be the equation:

n + 4/3n + 5/3n = 90

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The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10

8_murik_8 [283]

Answer:

The z-score for an income of $2,100 is 1.

Step-by-step explanation:

If X $\sim$ N (µ, σ²), then $Z=\frac{x-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z $\sim$ N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

Given:

µ = $2,000

σ = $100

<em>x</em> = $2,100

Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:

$Z=\frac{x-\mu}{\sigma}=\frac{2100-2000}{100}=\frac{100}{100}=1$

Thus, the z-score for an income of $2,100 is 1.

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3 years ago

SERIOUSLY NEED HELP QUICK! The table shows the total cost for different numbers of jackets.

Tema [17]

The cost of 3 jackets would be $69.75.

8 0

3 years ago

Read 2 more answers

Find f.<br><br> A) 7.4<br><br> B) 8.2<br><br> C) 10.5<br><br> D) 11.1

tatyana61 [14]

F=72

g=6

------------

$\cos { \left( F \right) } =\frac { { e }^{ 2 }+{ g }^{ 2 }-{ f }^{ 2 } }{ 2eg }$

Therefore:

$\cos { \left( 72 \right) } =\frac { { e }^{ 2 }+{ 6 }^{ 2 }-{ f }^{ 2 } }{ 2\cdot e\cdot 6 } \\ \\ \cos { \left( 72 \right) } =\frac { { e }^{ 2 }+36-{ f }^{ 2 } }{ 12e }$

$\\ \\ 12e\cdot \cos { \left( 72 \right) } ={ e }^{ 2 }+36-{ f }^{ 2 }\\ \\ \therefore \quad { f }^{ 2 }={ e }^{ 2 }-12e\cdot \cos { \left( 72 \right) } +36\\ \\ \therefore \quad f=\sqrt { { e }^{ 2 }-12e\cdot \cos { \left( 72 \right) +36 } } \\ \\ \therefore \quad f=\sqrt { e\left( e-12\cos { \left( 72 \right) } \right) +36 }$

But what is e?

E=76

G=32

g=6

And:

$\frac { e }{ \sin { \left( E \right) } } =\frac { g }{ \sin { \left( G \right) } }$

Which means that:

$\frac { e }{ \sin { \left( 76 \right) } } =\frac { 6 }{ \sin { \left( 32 \right) } } \\ \\ \therefore \quad e=\frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } }$

If you take this value into account, you will discover that f is...

$f=\sqrt { \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } \left( \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } -12\cos { \left( 72 \right) } \right) +36 } \\ \\ \therefore \quad f=10.8\quad \left( 1\quad d.p \right)$

So I would have to say that the answer is approximately (c).

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3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)<br><br> Find the inverse of :

muminat

Answer:

$h^{-1}(x) = \dfrac{5x - 6}{2}$

Step-by-step explanation:

$h(x)= \dfrac{2x + 6}{5}$

(a) Rename h(x) as y

$y = \dfrac{ 2x+ 6}{5}$

(b) Solve for x :

$\begin{array}{rcl}y& = &\dfrac{2x + 6}{5}\\\\5y & = & 2x + 6\\5y - 6 & = & 2x\\x & = & \mathbf{\dfrac{5y - 6}{2}}\end{array}$

(d) Switch x and y

$y = \dfrac{5x -6}{2}$

(e) Rename y as the inverse function

$h^{-1}(x) = \mathbf{\dfrac{5x - 6}{2}}$

The graphs of inverse functions are reflections of each other across the line y = x.

In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.

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3 years ago

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Susan keeps track of the high and low temperatures every day for a week. The following table shows her data what is the average

uysha [10]

Answer:

10.75

Step-by-step explanation:

To get the average, we always SUM UP all the numbers and divide by the number of numbers.

We do this for "change" row since we want average of "change".

Let's add up all the changes:

11 + 12 + 10 + 10 + 11 + 10 + 11 = 75

How many numbers are there?

There are 7 numbers

Now, the average:

Average = Sum/Number of Numbers

Average = $\frac{75}{7}=10.75$

The average = 10.75

4 0

3 years ago