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3 years ago

Which graph shows the image of the triangle reflected across the line of reflection shown?

Mathematics

1 answer:

olga55 [171]3 years ago

5 0

Answer:

D .points (2,2) (4,4) (0,9)

Step-by-step explanation:

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I need help on all of this cuz I don’t get it

OleMash [197]

I've got three photos for the answers but they don't include 31 or 32.

8 0

3 years ago

Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

3 0

3 years ago

Read 2 more answers

In the collection of beads, StartFraction 4 Over 20 EndFraction are blue. Which model shows the percent of beads that are blue?

jolli1 [7]

Option B model shows the percent of beads that are blue.

Solution:

Fraction of beads blue = $\frac{4}{20}$

To convert it into percent multiply the fraction by 100.

$$\text {Percent of} \ \frac{4}{20}=\frac{4}{20}\times 100\%$

$$=\frac{4\times 100}{20} \%$

Cancel the common factors, we get

= 20%

$$=\frac{20}{100}$

This means total number of boxes 100 and shaded in blue color 20.

Therefore option 2 represents $\frac{20}{100}$ .

Hence option B model shows the percent of beads that are blue.

8 0

3 years ago

Write and solve an inequality for each problem. Jorge’s soccer team is having its annual fundraiser. The team hopes

adelina 88 [10]

First of all, they need to triple their profits. So 87 x 3 = 241.

When you read the question, it says at least. In inequality terms, that means greater than equal to. You’d do this:

x is the amount of money they raise this year.

5 0

3 years ago

Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y

Vera_Pavlovna [14]

Answer:

x + y = 84

Step-by-step explanation:

Given

x : y : z = 5 : 1 : 3, then

$\frac{x}{y}$ = 5 ( multiply both sides by y )

x = 5y ←

and $\frac{y}{z}$ = $\frac{1}{3}$ ( cross- multiply )

3y = z

Substitute z = 3y into z - y = 28

3y - y = 28

2y = 28 ( divide both sides by 2 )

y = 14 ← ←

Substitute y = 14 into x = 5y

x = 5 × 14 = 70 ← ←

Substitute y = 14 into z - y = 28

z - 14 = 28 ( add 14 to both sides )

z = 42 ← ←

Thus x = 70, y = 14 and z = 42

Hence x + y = 70 + 14 = 84

5 0

3 years ago