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2 years ago

Express 9 3/2 in simplest radical form

Mathematics

1 answer:

BabaBlast [244]2 years ago

8 0

Answer:

Exact Form:

√93

Decimal Form:

Step-by-step explanation:

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The length of a rectangle is 4cm less than twice it’s width the perimeter of the rectangle is 34cm. What are the Demensions of t

serg [7]

Answer:

w=7 and l=10

Step-by-step explanation:

To find the dimensions, create an equation for its perimeter and solve. Recall, the perimeter formula for a rectangle is P = 2l+2w. P is 34 cm. L is 4cm less than twice the width or 2w-4. And the width is w.

P = 2l+2w

34 = 2(2w-4) + 2w

34 = 4w -8 +2w

34 = 6w -8

34+8 = 6w

42 = 6w

7=w

The width is 7 cm. To find the length substitute w=7 into l=2w-4.

l=2w-4

l=2(7)-4

l=14-4

l=10

5 0

3 years ago

2(p + 1) = 18<br> what is p?

marshall27 [118]

It would be: 2(p + 1) = 18
= 2p + 2 = 18
= 2p = 18 - 2
= 2p = 16
= p = 16/2
= p = 8

In short, Your Answer would be 8

Hope this helps!

5 0

3 years ago

Read 2 more answers

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

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6).

Natalija [7]

Answer:

A, C, and D

Step-by-step explanation:

The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:

slope = $\frac{6-3}{4-2} =\frac{3}{2}$

Thus, the slope is 3/2 = 1.5.

Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.

So, we can choose A, C, and D.

Hope this helps!

5 0

3 years ago

Read 2 more answers

(2x1)+(2x4)=2x(?+?) what’s the ?

valina [46]

Answer:

Step-by-step explanation:

4 0

3 years ago