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3 years ago

I need help with my dilation paper!

Mathematics

1 answer:

marusya05 [52]3 years ago

3 0

Dilation is a smaller version of the original shape. you are mutilping the coordinates given by 1/2

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Diana had 41 stickers she put them in 7 equal groups she put as many as possible in each groups she gave the leftover stickers t

pogonyaev

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4 0

3 years ago

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PQR is a right angled triangle calculate the size of angle marked x

romanna [79]

Answer:

$\displaystyle x \approx 37.4^\circ$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
[Fraction] Divide: $\displaystyle cosx^\circ = 0.794521$
[Equality Property] Trig inverse: $\displaystyle x^\circ = cos^{-1}(0.794521)$
Evaluate trig inverse: $\displaystyle x = 37.39^\circ$
Round: $\displaystyle x \approx 37.4^\circ$

8 0

3 years ago

Draw triangle XYZ with vertices X (-3, 2), Y (4, -2) and Z (-3, -2) on the coordinate plane. Then find the area of the triangle

dmitriy555 [2]

Answer:

14 square units

Step-by-step explanation:

If you graph the points your triangle's height will be 4, and base would be 7.

A = 1/2bh 4 x 7 = 28, 28 x 1/2 = 14.

Hope this helps :D

7 0

3 years ago

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A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it

leva [86]

The time it will take to fill the vat if both pipes are left open is = 4.3 hours

<h3>Calculation of time taken to fill vat</h3>

The number of pipes a vat has = 2

The time it takes the inlet pipe to fill the vat = 3hrs

The time it takes the outlet pipe to empty the vat= 10hrs

Therefore, the time it will take to fill the vat if both pipes are left open is;

1/t = 1/3-1/10

1/t = 7/30

Make t the subject of formula,

t = 30/7

t= 4.3 hours

Learn more about hours here:

brainly.com/question/291457

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5 0

3 years ago

One safe investment pays 8% per year, and a more risky investment pays 12% per year.

Mice21 [21]

Principal = 109,000

Return - 9,920

Return = (principal x rate x time)/100

X = the amount invested at 12%

Then 102000- x = the amount invested at 8%

9920 = (x*12)/100 + (109000-x*8)100

x = 30,000

a) 30,000 is invested at 12%

79,000 is invested at 8%

b) The 12% investment is riskier so if all the money was in that account the investor could lose all his money.

3 0

3 years ago