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Ilya [14]
3 years ago
5

Tariq wants to make some purple paint.

Mathematics
1 answer:
Natali [406]3 years ago
7 0

Answer:

18 liters

Step-by-step explanation:

Blue : red : White = 5 : 3 : 2

Quantity of Blue paint = 5x

Quantity of Red paint = 3x

Quantity of White paint = 2x

Total paint = 5x + 3x + 2x = 10x

10x = 60 liters

x = 60/10

x = 6

Quantity of red paint = 3x = 3*6 = 18

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AXYZ is in Quadrant 1. It is rotated 90° counterclockwise around the origin.
Ainat [17]

Answer:

Quad 1

Step-by-step explanation:

AXYZ is in the 2nd quad bc of the rotation, then goes back to 1st quad bc of reflection (y axis). After this, the translation doesn't affect the movement of quadrants.  A""X""Y""Z"' lands in quadrant 1.

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3 years ago
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Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f
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Answer:

\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}

Step-by-step explanation:

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When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

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\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}

The area of its dilated image EFGH is

\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}

8 0
3 years ago
What is the value of x to the nearest degree?
Marrrta [24]

Answer:

Step-by-step explanation:

This is right triangle trig.  The side opposite the x is 8, and the side adjacent to the x is 5.  The tangent ratio uses those sides.  We need to find what angle has a tangent of 8/5.  To do this, make sure your calculator is in degree mode.  Then hit "2nd" then tan and you will see tan with a little -1 and a parenthesis.  Enter 8/5 and hit "enter" and you will get an angle measure of 57.9946.  Rounded to the nearest degree this is 58 degrees.  That's your answer!

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3 years ago
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