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iren [92.7K]
3 years ago
9

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

Mathematics
1 answer:
Rama09 [41]3 years ago
4 0

Check the picture below.

now, we have a triangle with all three sides, thus we can use Heron's Area Formula on the triangle.

\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=10\\ b=26.695\\ c=22\\ s=29.3475 \end{cases} \\\\\\ A=\sqrt{29.3475(29.3475-10)(29.3475-26.695)(29.3475-22)} \\\\\\ A=\sqrt{29.3475(19.3475)(2.6525)(7.3475)}\implies A\approx \sqrt{11066.007} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A\approx 105.195~\hfill

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2/5;0.5 tell whether each pair shows equivalent number
Georgia [21]
2/5= 40%, so no, they are not equivalent numbers,<span />
4 0
3 years ago
The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 3 ft. By how many
Citrus2011 [14]

Answer: 18.86 feet

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = πD

Where D represents the diameter of the circle.

The circumference of the inner circle is 44 ft. It means that

22/7 × D = 44

22D = 7 × 44 = 308

D = 308/22

D = 14 ft

The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be

14 + 3 + 3 = 20 ft

Circumference of the outer circle is

22/7 × 20 = 62.86 ft

The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is

62.86 - 44 = 18.86 feet

5 0
4 years ago
How much wrapping paper is needed to cover the gift box shown below?<br> SA = 2Lw + 2Lh + 2wh
Brrunno [24]

Answer:

528 square inches

Step-by-step explanation:

SA = 2(10·16) + 2(10·4) +2(4·16)

= 2(160)+2(40)+2(64)

= 320 + 80 + 128

= 528 square inches

8 0
3 years ago
Help, I’m stuck. Thank you very much
ZanzabumX [31]
If you notice, the container is really just two circles, with a diameter of 4 each, and a square with sides of 10.5.

now, if we just get the area of each circle, keeping in mind their radius is half of the diameter, namely r = 2, and get the area of the 10.5x10.5 square, sum them up, that'd be the surface area of the container.

\bf \stackrel{\textit{2 circle's area}}{2(\pi r^2)}~~+~~\stackrel{\textit{area of the square}}{10.5\cdot 10.5}&#10;\\\\\\&#10;\stackrel{\textit{2 circle's area}}{2(\pi 2^2)}~~+~~\stackrel{\textit{area of the square}}{10.5\cdot 10.5}\implies 8\pi + 110.25
5 0
3 years ago
Which statement is correct about a line and a point?
KIM [24]

A line and a point can be collinear” is correct about a line and a point.

 

In geometry a line:

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• is straight (no curves), 
• has no thickness, and 
• extends in both directions without end (infinitely). </span>

 

In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point<span> is a primitive notion upon which the geometry is built.</span>

6 0
3 years ago
Read 2 more answers
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