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Nimfa-mama [501]

3 years ago

7

A clock has a diameter of 16 inches. Which measurement is closest to the area of the clock in square inches? 804.25 in2 50.27 in

2 25.13 in2 200.96 in2

1 answer:

meriva3 years ago

3 0

Answer:

200.96 in2

Step-by-step explanation:

Area of a circle = nr²

n = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

radius = 16 inches / 2 = 8 in

Area = 3.14 x 8² = 200.96 in²

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Hannah notices that segment HI and segment KL are congruent in the image below: Two triangles are shown, GHI and JKL. G is at ne

BlackZzzverrR [31]

Answer:

segment IG ≅ segment LJ

Step-by-step explanation:

Please refer to the attached image as per the triangles as given in the question statement.

$\triangle HGI, \triangle JKL$

$G\left(-3,1\right),\ H\left(-1,1\right),\ I\left(-2,3\right)$

$J\left(3,3\right),K\left(1,3\right),L\left(2,1\right)$

Given that:

$HI\cong KL$ and

$\angle I \cong \angle L$

<em>SAS congruence </em>between two triangles states that two triangles are congruent if two corresponding sides and the angle between the two sides are congruent.

We are given that one angle and one sides are congruent in the given triangles.

We need to prove that other sides that makes this angle are also congruent.

To show the triangles are congruent i.e. $\triangle GHI \cong \triangle JKL$ by SAS congruence we need to prove that

segment IG ≅ segment LJ

Let us use Distance formula to find IG and LJ:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$IG =\sqrt{(-2+3)^2+(3-1)^2} =\sqrt5\ units$

$LJ =\sqrt{(2-3)^2+(1-3)^2} =\sqrt5\ units$

Hence, segment IG ≅ segment LJ

$\therefore$ ΔGHI ≅ ΔJKL by SAS

4 0

3 years ago

Solve each calculation. Be sure to report your answer with the correct number of decimal places. 7.365 ms 0.250 ms + 10.3 ms ms

Darya [45]

Answer:

1.17.9

2. 120.61

Step-by-step explanation:

3 0

3 years ago

Explain why the product of 50 and 80 has three zeros when 50 and 80 each have one zero

Tpy6a [65]

Answer:

Because 50X80=4,000because 5*8=40because 50*80=4,000if 80x50=400 add 08X5=40 so add the 2

Step-by-step explanation:

your welcome

8 0

3 years ago

For this exponential function,

Archy [21]

Replace x with 3 and solve:

10 x 5^3

Simplify:

10 x 125 = 1250

Answer: y = 1250

7 0

3 years ago

Which of the following functions represent exponential decay?

Zina [86]

Option C: $f(x)=3^{5}\left(\frac{1}{3}\right)^{x}$ is the function that represent exponential decay.

Explanation:

The exponential decay can be represented by

$f(x)=a \cdot b^{x}$ where $a>0$ and $0$

Option A: $f(x)=3(1.7)^{x-2}$

From the function, we can see that $a=3$ and $b=1.7$

Thus, $a>0$ and $b>1$

Thus, the function $f(x)=3(1.7)^{x-2}$ does not represent exponential decay.

Hence, Option A is not the correct answer.

Option B: $f(x)=3(1.7)^{-2 x}$

From the function, we can see that $a=3$ and $b=1.7$

Thus, $a>0$ and $b>1$

Thus, the function $f(x)=3(1.7)^{-2 x}$ does not represent exponential decay.

Hence, Option B is not the correct answer.

Option C: $f(x)=3^{5}\left(\frac{1}{3}\right)^{x}$

From the function, we can see that $a=3^5=243$ and $b=\frac{1}{3} =0.3333$

Thus, $a>0$ and $0$

Thus, the function $f(x)=3^{5}\left(\frac{1}{3}\right)^{x}$ represent exponential decay.

Hence, Option C is the correct answer.

Option D: $f(x)=3^{5}(2)^{-x}$

From the function, we can see that $a=3^5=243$ and $b=2$

Thus, $a>0$ and $b>1$

Thus, the function $f(x)=3^{5}(2)^{-x}$ does not represent exponential decay.

Hence, Option D is not the correct answer.

8 0

4 years ago