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3 years ago

345 in standard form

1 answer:

5 0

345 in Standard Form is 3.45 x 10^2

This is because when in standard form the decimal should move to the right 2 times.

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In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction

tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

$\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2$

$m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle$

$360^\circ =$Total Angle$

Therefore, the formula is:

$\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}$

Therefore, the formula is best explained by Option A.

7 0

3 years ago

Can someone PLEASE help me solve these last 2 problems so I can be done with this math class....really stumped on these 2....

dexar [7]

Both distances 3966 and 4746 were done in 6 hours, so the speeds are:
speed against wind = 3966/6=661 km/h (difference of airplane and wind)
speed with wind = 4746/6=791 km/h (sum of airplane and wind)

The speed of airplane is greater than that of the wind, so this is a sum and difference problem.

Greater speed (plane) = (sum+difference)/2=(791+661)/2=726 km/h
Lesser speed (wind) = (sum-difference)/2 = (791-661)/2 = 65 km/h

3 0

3 years ago

Write a situation that could be represented by the algebraic expression 3a + 2.15.

nordsb [41]

Answer:

5.15

Step-by-step explanation:

5.15 = 3a + 2.15

5.15 - 2.15 = 3a

3.15 = 3a

a = 0.05

I hope this helps you :)

8 0

3 years ago

Given: △ABC, D∈ AC m∠ABC=m∠BDA AB=2, AC=4 Find: AD and DC

Simora [160]

Answer:

The value of AD=1 and DC=3

Step-by-step explanation:

Given: ΔABC, D∈ AC m∠ABC=m∠BDA, AB=2, AC=4

Diagram: Please find attachment.

To find: AD=? and DC=?

Calculation:

In ΔABC and ΔADB

∠ABC=∠ADB (Given)

∠A=∠A (Common)

Therefore, ΔABC ≈ ΔADB by AA similarity

If two triangles are similar then ratio their corresponding sides are equal

Therefore,

$\dfrac{AD}{AB}=\dfrac{AB}{AC}$

where, AD=?, AB=2, AC=4

$\dfrac{AD}{2}=\dfrac{2}{4}$

$AD=\dfrac{2\times 2}{4}=1$

AD=1

AD+DC=AC

1+DC=4

DC=4-1

DC=3

Hence, The value of AD=1 and DC=3

5 0

3 years ago

Read 2 more answers

Given that the 3rd term in an arithmetic sequence is -2 and the 7th term is -10, tell me what the 1st term in the sequence is. E

Elenna [48]

Answer:

Step-by-step explanation:

a₃ = -2

a₇ = -10

The nth term of an arithmetic sequence is:

a = a₁ + d (n − 1)

Therefore:

-2 = a₁ + d (3 − 1) = a₁ + 2d

-10 = a₁ + d (7 − 1) = a₁ + 6d

Subtract the equations:

8 = -4d

d = -2

Plug into either equation to find the first term.

-2 = a₁ + 2(-2)

a₁ = 2

5 0

3 years ago