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3 years ago

What is the value of a?

Mathematics

1 answer:

bearhunter [10]3 years ago

8 0

Answer:

the second option : 5 1/3

Step-by-step explanation:

the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a

h = 4

the formula is h = sqrt(a×b)

with a and b being the baseline segments.

so,

4 = sqrt(3×a)

16 = 3×a

a = 16/3 = 5 1/3

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3 years ago

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What’s is the answer help out

sleet_krkn [62]

Answer:

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Step-by-step Explanation:

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In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by

Ksju [112]

Answer:

The area of ΔABC is 6√6 sq. yards.

Step-by-step explanation:

The area of a triangle using the Heron's formula is:

$A=\sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}$

Here <em>s</em> is given as follows:

$s=\frac{a+b+c}{2}$

The sides of the triangle ABC are as follows:

AB = 6 yd

BC = 7 yd

CA = 5 yd

Compute the value of <em>s</em> as follows:

$s=\frac{a+b+c}{2}$

$=\frac{6+7+5}{2}\\\\=9$

Compute the area of ΔABC as follows:

$A=\sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}$

$=\sqrt{9\cdot(9-6)\cdot(9-7)\cdot(9-5)}\\\\=\sqrt{9\times 3\times 2\times 4}\\\\=\sqrt{216}\\\\=\sqrt{36\times 6}\\\\=6\sqrt{6}$

Thus, the area of ΔABC is 6√6 sq. yards.

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3 years ago

Use the formula P = 2l + 2w. Find the perimeter of a rectangle with a length of 12.9 ft and a width of 19.3 ft.

vovikov84 [41]

The answer is P= 64.4 hope it helped

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3 years ago

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

(Used a table of common angles)

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4 years ago