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3 years ago

Which statements are true about the shapes? Select three options.

Mathematics

2 answers:

shepuryov [24]3 years ago

7 0

Answer:

B, C, D

Step-by-step explanation:

By looking at the photos, you can determine that all of these answers are in fact correct.

Yakvenalex [24]3 years ago

5 0

A D C are the three that are true it might be wrong let me if i am

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What is the area of a circle with a radius of 5 inches?

Igoryamba

Answer:

78.54in²

Step-by-step explanation:

i used the formula

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3 years ago

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myrzilka [38]

Answer:

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3 years ago

Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

<u>Calculation</u>

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

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2 years ago

Determine whether the following equation defines y as a function of x.

Aleks04 [339]

Answer:

The equation can define y as a function of x and it also can define x as a function of y.

Step-by-step explanation:

A relation is a function if and only if each value in the domain is mapped into only one value in the range.

So, if we have:

f(x₀) = A

and, for the same input x₀:

f(x₀) = B

Then this is not a function, because it is mapping the element x₀ into two different outputs.

Now we want to see it:

x + y = 27

defines y as a function of x.

if we isolate y, we get:

y = f(x) = 27 - x

Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.

Now we also want to check if:

x + y = 27

defines x as a function of y.

So now we need to isolate x to get:

x = f(y) = 27 - y

Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.

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3 years ago

Henry buys a softball for 16 dollars plus a 9% tax Ella buys a pair of shoes for 17 dollars plus a 9% tax. Enter the difference

Gwar [14]

Answer:

$1.09

Step-by-step explanation:

16*0.09 = 1.44, 16 + 1.44 = 17.44 (Henry's total cost)

17*0.09 = 1.53, 17 + 1.53 = 18.53 (Ella's total cost)

To find the difference we subtract 18.53-17.44 = 1.09 and so the difference including tax is $1.09

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3 years ago