What is The measure of the radius, C, rounded to the nearest inch? Use appropriate trigonometric ratios to solve

Mathematics

2 answers:

GuDViN [60]3 years ago

7 0

Answer: it is 14

Step-by-step explanation:

Tema [17]3 years ago

5 0

Answer: 14in

Step-by-step explanation:

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Please help and if possible show your work

jekas [21]

Answer:

514.5 ft.³

Step-by-step explanation:

Volume of a triangular prism

= base area × height

In the figure, the base is a right-angled triangle.

The base area

= (7×7)÷2

= 24.5 ft²

The volume of the prism

= 24.5×21

= <u>514.5 ft³</u>

3 0

3 years ago

A blueprint of a plot of land has a scale of cm to m. The length of land measures 15 cm on the blueprint. If l represents the le

Advocard [28]

Answer:

l=15 m

Step-by-step explanation:

Given that a blueprint of a plot of land has a scale of cm to m.

i.e. if it measures 1 cm in blue print actual dimension is 1 m.

The length of land measures 15 cm on the blueprint.

For 1 cm actual length = 1 m

So for 15 cm actual length = 15 m

So we get

if l represents the length of the actual piece of land,

l=15 m

8 0

3 years ago

Read 2 more answers

In parallelogram ABCD,AB^4+AD^2+AB^2*AD^2=AC^2*BD^2.If angle ABC=x,find the product of all possible values of x

almond37 [142]

Answer:

Hello,

Step-by-step explanation:

AB=DC=b, AD=BC=a

p=BD, q=AC

angle ABC=x

$AB^4+AD^4+AB^2*AD^2=AC^2*BD^2\\\\b^4+a^4+b^2a^2=(a^2+b^2+2abcos(X))(a^2+b^2-2abcos(X)\\\\(a^2+b^2+2a^2b^2)-a^2b^2=((a^2+b^2)^2-4a^2b^2*cos^2(X))\\\\\\4a^2b^2cos^2(X)=a^2b^2\\\\\\cos^2(X)=\dfrac{1}{4} \\\\(cos(X)-\dfrac{1}{2} )(cos(X)+\dfrac{1}{2} )=0\\cos(x)=\frac{1}{2} \ or\ cos(X)=\dfrac{-1}{2} \\\\\\X=60^o =\dfrac{\pi}{3} rad \ or \ X=120^o=\dfrac{4\pi}{3} rad\\\\\\\\Product=\dfrac{\pi}{3}*\dfrac{4\pi}{3} =\boxed{\dfrac{4\pi^2}{9}}\\$