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Mathematics

1 answer:

hodyreva [135]4 years ago

8 0

Answer:

you have to do 52 divided by cos of 38 to get the answer of 65.99ft

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Please help! Here's the question. I really need it.

Korvikt [17]

Let’s first cut/separate this figure into two shapes: rectangle and a triangle

The area of the rectangle: 9 • 2 = 18
The area of the triangle: 1/2 • 8 • 4 = 16
The total area: 18 + 16 = 34
He needs 34 m square of grass

5 0

3 years ago

A radioactive isotope has a half life of 4.51 days. If 12.63 grams are now present, how much will be left after 15

Marizza181 [45]

Answer:

Step-by-step explanation:

$f=ir^t\\ \\ \frac{1}{2}=r^{4.51}\\ \\ ln(0.5)=4.51lnr\\ \\ r=e^{\frac{ln0.5}{4.51}}\\ \\ r\approx 0.8575\\ \\ f(15)=12.63(0.8575^{15}\\ \\ f(15)\approx 1.26g$

7 0

3 years ago

Find the volume of a right prism with height h=10 cm, The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm

cestrela7 [59]

<h2>Answer:</h2>

$\boxed{V=40\sqrt{3}cm^3}$

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. In a right prism every edge that connects the base and the opposite face makes right angles with both faces. Moreover, a triangular prism is a solid whose base is a triangle. In general, a prism's volume is always equal to the area of its base, which has the same area of the top face, times its height. In mathematical language:

$V=A_{b}\times H \\ \\ Where: \\ \\ A_{b}:Base \ Area \\ \\ H:Height$

Since the base is an equilateral triangle with side 4 cm, then we'll use Heron's formula to find the area. This formula uses triangle's side lengths and the semiperimeter. A polygon's semiperimeter s is half its perimeter. So the area of a triangle can be found by $A=\sqrt{s(s-a)(s-b)(s-c)}$ being $a,\:b\:and\:c$ the corresponding sides of the triangle. So: