What is the reflection image?

Donna sent her grandson a birthday present. The box weighed 0.875 kilograms and the present itself weighed 6,800 grams. a. What

Nana76 [90]

A) We know that the box weighed 0.875 kg, and the present weighed 6,800 g. However we need the gross weight of the package in kg, so we have to convert the present's weight to kg. There are 1000 grams in 1 kg, so we can divide the present's weight by 100 to find the weight in kg:

$\frac{6,800}{1000} =6.8 kg$

Now that we have converted to grams, let's add the weight to get the total gross weight:

$0.875+6.8=7.675 kg$

So the gross weight of the package is 7.675 kg.

b) Shipping costs 74 cents per kg, so in order to find the total cost of shipping for the package, let's multiply the weight of the package by the cost of shipping:

$\frac{7.675kg}{1}* \frac{74 cents}{kg}=567.95 cents$

However the cost of shipping has to be in dollars. There are 100 cents in one dollar, so we need to divide the amount of cents that shipping costs by 100 to get the total in dollars:

$\frac{567.95cents}{100} =5.68dollars$

Now we know that the total cost of shipping, in dollars, is equal to $5.68.

7 0

3 years ago

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.

Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

AC = 2 x XY
CB = 2 x YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x XY

CB = 2 x YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A - given

Then ∠X and ∠Z are said to becomplementary angles

Since m∠Z = 90° - m∠X -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5 seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0

2 years ago

Decrease 18 tonnes by 30%

Leviafan [203]

10% of 18 tonnes = 1.8 tonnes
30% of 18 tonnes = 5.4 tonnes
18 - 5.4 tonnes = 12.6 tonnes

5 0

3 years ago

(-3)*(-5) =

vlabodo [156]

Answer:

9×5=45

Step-by-step explanation:

hope it helps and use brainly it never lies

8 0

3 years ago

Read 2 more answers

The set of integers contains whole numbers and their

a_sh-v [17]

The answer is opposites apex. I hope this helps

3 0

3 years ago