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3 years ago

Please help if you can!

Mathematics

1 answer:

stealth61 [152]3 years ago

5 0

Given:

The figure of a triangle DEF.

To find:

The coordinate of image of given triangle after reflection over y-axis.

Solution:

The vertices of given triangle are D(1,4), E(4,3), F(2,0).

If a figure is reflected over the y-axis, then the rule of reflection is

$(x,y)\to (-x,y)$

Using this rule, we get

$D(1,4)\to D'(-1,4)$

$E(4,3)\to E'(-4,3)$

$F(2,0)\to F'(-2,0)$

Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).

You might be interested in

Kyle rides his bicycle 15 mph for 2 hours how far does he travel

Cerrena [4.2K]

Answer:

30mph

Step-by-step explanation:

Kyle rides his bike 30mph,

15mph x 2hrs = 30 mph.

15 miles per hour x 3 is 30mph total.

Hope this helps!

4 0

3 years ago

Read 2 more answers

The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households.

erastovalidia [21]

Answer:

1). Mean = 2.275

2). Median = 2 vehicles

Step-by-step explanation:

From the given table,

Number of vehicles (x) Frequency (f) (f)×(x) Cumulative freq.

0 11 0 11

1 52 52 63

2 66 132 129

3 35 105 164

4 19 76 183

5 12 60 195

6 5 30 200

$\sum (f\times x) = 455$

Number of households = 200

Mean = $\sum \frac{f.x}{n}$

= $\frac{455}{200}$

= 2.275

Median = value of $\frac{(n+1)}{2}th$ observation

= value of $\frac{201}{2}th$ observation

= Value of 100.5th observation

= Since 100.5th observation lies in the row of cumulative freq. = 129

= 2

Therefore, median number of registered vehicles per California household

= 2 vehicles

6 0

3 years ago

Prove that: [1 + 1/tan²theta] [1 + 1/cot² thata] = 1/(sin²theta - sin⁴theta]

Stels [109]

Step-by-step explanation:

<h3>Given :-</h3>

[1+(1/Tan²θ)] + [ 1+(1/Cot²θ)]

<h3>Required To Prove :-</h3>

[1+(1/Tan²θ)]+[1+(1/Cot²θ)] = 1/(Sin²θ-Sin⁴θ)

<h3>Proof :-</h3>

On taking LHS

[1+(1/Tan²θ)] + [ 1+(1/Cot²θ)]

We know that

Tan θ = 1/ Cot θ

and

Cot θ = 1/Tan θ

=> (1+Cot²θ)(1+Tan²θ)

=> (Cosec² θ) (Sec²θ)

Since Cosec²θ - Cot²θ = 1 and

Sec²θ - Tan²θ = 1

=> (1/Sin² θ)(1/Cos² θ)

Since , Cosec θ = 1/Sinθ

and Sec θ = 1/Cosθ

=> 1/(Sin²θ Cos²θ)

We know that Sin²θ+Cos²θ = 1

=> 1/[(Sin²θ)(1-Sin²θ)]

=> 1/(Sin²θ-Sin²θ Sin²θ)

=> 1/(Sin²θ - Sin⁴θ)

=> RHS

=> LHS = RHS

Hence, Proved.

<h3>Answer:-</h3>

[1+(1/Tan²θ)]+[1+(1/Cot²θ)] = 1/(Sin²θ-Sin⁴θ)

<h3>Used formulae:-</h3>

→ Tan θ = 1/ Cot θ

→ Cot θ = 1/Tan θ

→ Cosec θ = 1/Sinθ

→ Sec θ = 1/Cosθ

<h3>Used Identities :-</h3>

→ Cosec²θ - Cot²θ = 1

→ Sec²θ - Tan²θ = 1

→ Sin²θ+Cos²θ = 1

Hope this helps!!

7 0

3 years ago

HALP PLeAASE i will give brainly ;D

a_sh-v [17]

Answer:

the total amount is £756.

Step-by-step explanation:

given, monthly charge =£16

rate per min of call= £13 per min(150free calls )

rate per texts= £15per text (150 free text)

now, total calls made =170calls

total text = 180 text

now, minimum charge for 150 calls is free

so, left calls = 20 calls

charge for 20 calls= 20×£13

therefore, the charge for 20 calls is £260

now, for text

no. of text = 182-150=32

now, charge for 32 text =£ 15× 32

therefore the charge of 32 text is £ 480.

now, total amount = monthly charge + extra call charge+ extra text charge.

or, total amount = £16+£260+£480

=£756

therefore, the total amount is £756.

hope it helps...

6 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Burka [1]

Answer: d) 0.9693

Step-by-step explanation:

refer to the z-table attached.

The table shows the percent from the MEAN. The percent below the mean is 50% so that needs to be added to the value in the table.

Look on the left side for 1.8 and the top for 0.07 (which is 1.87).

The value is 0.4693 --> add 0.5 to that value to get 0.9693.

6 0

3 years ago