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3 years ago

Which kind of transformation converts a unit square into parallelogram or other

Mathematics

1 answer:

nordsb [41]3 years ago

6 0

Answer:

rotation

Step-by-step explanation:

from the pont you have rotate it to a shape kinda like a diamond

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Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2

Gemiola [76]

Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
$a = b = c \div \sqrt{2} \\ c = a\sqrt{2} \\ c = 6 \sqrt{2} \times \sqrt{2} = 6 \times 2 = 12$
Another way to do it is the longer proof of Pythagorean Theorem:
${c}^{2} = {a}^{2} + {b}^{2}... \: \: c = \sqrt{({a}^{2} + {b}^{2})} \\$
$c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}} \\ = \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )} = \sqrt{2(36 \times 2)} \\ c = \sqrt{144} = 12$

7 0

3 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

6 0

3 years ago

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to

Elodia [21]

Answer:

The price of rice per gram is 0.006$

Step-by-step explanation:

I. David wants to make 10 servings,

each require 75 g of rice and 5 spice. When ratio is 15:1

If rice : spice = 75 : x

15x = 75

x = 5

=> 5 * 15 : 1 * 5

= 75 : 5

So rice : spice is 75 : 5

II. When 1 serving require 75 : 5

So 10 servings is 10 * 75 : 5 * 10

= 750 : 50

So he must has 750 grams rice and 50 grams spice.

III. He must buy spice and rice which..

a) He has 40 grams spice, he'll buy for 10 grams spice.

b) He has no rice, he'll buy for 750 grams rice.

But the question only ask for price of rice which he spend 4.5$

= $\frac{4.5}{750}$

= 0.006$

In 1 gram of rice he spend 0.006$

If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true

That makes 0.006$ is the right answer.

Hope that help :)

8 0

3 years ago

Please help! I’ve been trying to find the answer to this problem and couldn’t & I can’t find the answers anywhere!

Kryger [21]

The answer is if you tilt it a little bit it looks like a kite and if you look on the web a rhombus kinda looks like a kite and plz mark me brainiest because you know you looked for answers on the web

6 0

3 years ago

A car travels 41 km in 31 minutes.

My name is Ann [436]

Answer: 1.30 every km

Step-by-step explanation:

to find the speed per km, you do 41 divided by 31.

41/31= 1.30 per km (rounded)

5 0

3 years ago

Read 2 more answers

Which kind of transformation converts a unit square into parallelogram or other​

Which kind of transformation converts a unit square into parallelogram or other