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sweet-ann [11.9K]
3 years ago
13

Find the perimeter of the figure. round all figures to the nearest hundredth Place

Mathematics
2 answers:
stellarik [79]3 years ago
5 0

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Height of trapezoid = 4 ft

Length of longer side=  'a' = 13 ft

Length of shorter side = 'b' = 9 ft

Due to height of 4 meter there will be right angle triangle at the corners.

In right angled triangle:

H^2=B^2+P^2\\\\H^2=4^2+2^2\\\\H^2=16+4\\\\H^2=20\\\\H=\sqrt{20}\\\\H=2\sqrt{5}\ ft

Since it is isosceles trapezoid, then there two non parallel sides should be equal.

So, Perimeter of isosceles trapezoid is given by

13+9+2\sqrt{5}+2\sqrt{5}\\\\=22+4\sqrt{5}\\\\=30.94\ ft

Hence, option 'c' is correct.

slavikrds [6]3 years ago
4 0

Answer:

C

Step-by-step explanation:

The perimeter of a figure is found by adding the sides of all the figures. The figure has sides 13 and 9. Its height is 4 so each of those sides is about 4 feet. So the perimeter is 13+9+4+4 = 30

C is the best solution.

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Find an equation of the line satisfying the given conditions Through (6,4); perpendicular to 3X + 5Y =38
Katyanochek1 [597]
To answer this, we will need to know:

• The slope of the equation we are trying to get
• The point it passes through using the 

First, we will need to find the slope of this equation. To find this, we must simplify the equation 3x+5y=38 into y=mx+b form. Lets do it!

3x+5y=38
= 5y = -3x+38 (Subtract 3x from both sides)
= y= -\frac{3}{5}x+ \frac{38}{5} (Divide both sides by 5) 

The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.

The negative reciprocal of the line given is \frac{5}{3}. 

Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:

\frac{y-y _{1} }{x- x_{1} }=m

Substituting values, we find that:

\frac{y-4}{x-6}= \frac{5}{3}

By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that: 

y= \frac{5}{3}x-6 , which is our final answer.

Thank you, and I wish you luck.
8 0
4 years ago
Read 2 more answers
How do I do this. Due tomorrow
kolbaska11 [484]
I prefer D.

It's clear that Kevin took (1/4)x.
Keith took (1/4)x -> kevin's amount
                 * 2      -> twice.
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So Kevin + Keith = (1/4)x + (1/4)x * 2 - 1 = (3/4)x - 1.
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4 years ago
PLEASE PLEASE ANSWER!
muminat

The area of the shaded region is $8(\pi \ -\sqrt{3})\ \text{cm}^2.

Solution:

Given radius = 4 cm

Diameter = 2 × 4 = 8 cm

Let us first find the area of the semi-circle.

Area of the semi-circle = \frac{1}{2}\times \pi r^2

                                      $=\frac{1}{2}\times \pi\times 4^2

                                      $=\frac{1}{2}\times \pi\times 16

Area of the semi-circle = $8\pi cm²

Angle in a semi-circle is always 90º.

∠C = 90°

So, ABC is a right angled triangle.

Using Pythagoras theorem, we can find base of the triangle.

AC^2+BC^2=AB^2

AC^2+4^2=8^2

AC^2=64-16

AC^2=48

AC=4\sqrt{3} cm

Base of the triangle ABC = 4\sqrt{3} cm

Height of the triangle = 4 cm

Area of the triangle ABC = \frac{1}{2}\times b \times h

                                          $=\frac{1}{2}\times 4\sqrt{3}  \times 4

Area of the triangle ABC =  8\sqrt{3} cm²

Area of the shaded region

                   = Area of the semi-circle – Area of the triangle ABC

                   = $8\pi \ \text{cm}^2-8\sqrt{3}\ \text{cm}^2

                   = $8(\pi \ -\sqrt{3})\ \text{cm}^2

Hence the area of the shaded region is $8(\pi \ -\sqrt{3})\ \text{cm}^2.

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Step-by-step explanation:

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log y = 2.3 + 0.8, or 3.10, or (to the nearest whole number):

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Answer:

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Step-by-step explanation:

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