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3 years ago

5

A rectangle is 3m long and 2050 m wide find it perimeter

1 answer:

stellarik [79]3 years ago

7 0

3+3+2050+2050=4106

4106

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olga_2 [115]

The measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

Explanation:

Given that the quadrilateral ABCD is inscribed in a circle.

The given angles are ∠A = (2x + 3), ∠C = (2x + 1) and ∠D = (x - 10)

We need to determine the measures of the angles A, C and D

<u>The value of x:</u>

We know that, the opposite angles of a cyclic quadrilateral add up to 180°

Thus, we have,

$\angle A+\angle C=180^{\circ}$

Substituting the values, we have,

$2x+3+2x+1=180$

$4x+4=180$

$4x=176$

$x=44$

Thus, the value of x is 44.

<u>Measure of ∠A:</u>

Substituting $x=44$ in ∠A = (2x + 3)°, we get,

$\angle A=(2(44)+3)^{\circ}$

$=(88+3)^{\circ}$

$\angle A=91^{\circ}$

Thus, the measure of angle A is 91°.

<u>Measure of ∠C :</u>

Substituting $x=44$ in ∠C = (2x + 1)°, we get,

$\angle C=(2(44)+1)^{\circ}$

$=(88+1)^{\circ}$

$\angle C=89^{\circ}$

Thus, the measure of angle C is 89°.

<u>Measure of ∠D :</u>

Substituting $x=44$ in ∠D = (x - 10)°, we get,

$\angle D=(44-10)^{\circ}$

$\angle D=34^{\circ}$

Thus, the measure of angle D is 34°.

Hence, the measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

7 0

3 years ago

The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two option

postnew [5]

Answer:

The equations that represent the reflected function are

$f(x)=5(\frac{1}{5})^{-x}$

$f(x)=5(5)^{x}$

Step-by-step explanation:

The correct question in the attached figure

we have the function

$f(x)=5(\frac{1}{5})^{x}$

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

$f(−x) = f(x).$

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative x-values)

$f(x)=5(\frac{1}{5})^{-x}$

An equivalent form will be

$f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}$

therefore

The equations that represent the reflected function are

$f(x)=5(\frac{1}{5})^{-x}$

$f(x)=5(5)^{x}$

9 0

3 years ago

Read 2 more answers

What is 48,100,000,000,000 in scientific notation? 4.81×10−11 4.81×10−13 4.81×1011 4.81×1013

SSSSS [86.1K]

Given number is 4,8100,000,000,000.

In this number of zero is 11. So we can write it as $481 * 10^{11}$

But for scientific notation we will enter decimal after two place in reverse direction.For this we will also multiply number by 10^2.

So number will be $4.81 * 10^{11} *10^2 = 4.81 * 10^{13}$

So fourth option is correct.

4 0

3 years ago

Read 2 more answers

Evaluate the expression below for m=350. 3.5m

aev [14]

Just plug in 350 for 'm':

$\sf 3.5m$

$\sf 3.5(350)$

Multiply:

$\boxed{\sf 1225}$

7 0

3 years ago

Evaluate the following expressions if ×=2,y=3 and Z=4. a.4×+×-3over ×+10 b.2y-5yover y+5. c.yz-×. d.9+y+zover y+2

sammy [17]

Answer:

A= 7 11/12 or 7.916 or 95.12

B= 4 1/8 or 4.125 or 33/8

C= 12 4/5 or 12.8 or 64/5

6 0

3 years ago