How do you draw the unit circle in radians when the denominator is 5?

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

olasank [31]

Answer:

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

Step-by-step explanation:

A. Scale factor

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.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

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

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

3)

Citrus2011 [14]

Answer:

D)

3* (2 x 8) = 3 * (8 x 2)

Step-by-step explanation:

multiplication distributes over addition.

5 0

3 years ago

Need help. Please <br><br> Finish graph

Verdich [7]

Here is what you might get. Hope it helps! Brainliest would be appreciated

4 0

3 years ago

A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If

r-ruslan [8.4K]

Answers:

Total amount of money = 220 dollars
Amount Farah gets = 100 dollars

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Explanation:

F = amount Farah gets
S = amount Shaiyara gets
Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

F = 10x
S = 7x
Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

F = 10x = 10*10 = 100
S = 7x = 7*10 = 70
Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

6 0

2 years ago

In order to apply the law of sines to find the length of the side of a triangle, it is enough to know which of the following?

larisa86 [58]

Answer:

We must have two angles and a side.

A is the correct option.

Step-by-step explanation:

For any triangle ABC, the law of sine is given by

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

From this formula it is clear that in order to find the length of the side of the triangle, we must have two angles and a side.

Let us understand this by assuming that we need to find a (length of the side). From the formula, we have

$\frac{a}{\sin A}=\frac{b}{\sin B}\\\\a=\frac{b\sin A}{\sin B}$

Thus, to find the length a, we must have b, sin A and sin B.

Hence, o find the length of the side of the triangle, we must have two angles and a side.

3 0

3 years ago

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