Write an equation of a line in slope-intercept form if the slope is ½ and the y-intercept is -2.

In the figure, the perimeter of hexagon ABCDEF is approximately

Nikitich [7]

First solve the length of side BC, CD, EF and FA Since BC = CD = sqrt( 10^2 + 10^2) BC = CD = 14.1421
FA = EF = sqrt(10^2 + 20^2) = 23.3607
So the perimeter = 10 + 10 + 14.1421 + 14.1421 + 23.3607 = 93

The area is made up be triangle FAE, rectangle ABDE and triangle BCD
A = 0.5(20)(20) + (10)(20) + 0.5(20)(10)
<span>A = 500 sq units</span>

7 0

3 years ago

Read 2 more answers

No links or files, worth 25 points, please help!

zavuch27 [327]

Answer:

6

Step-by-step explanation:

2 to the power of 1 is 2, anything to the power of one is the original number itself. 3*2=6

3 0

2 years ago

Read 2 more answers

James has a balance of $1,230 on his credit card that has an APR of 24%. He currently pays the minimum monthly payment of

ArbitrLikvidat [17]

Answer:

the answer is B James can eliminate $25 from Food/Clothes and $27 from Entertainment.

hope it helps!

7 0

3 years ago

URGENT ANSWER NOW In △ABC, A=59∘, a=20, and c=21. What are the two possible values for angle C to the nearest tenth of a degree?

PilotLPTM [1.2K]

Answer:

The two possible values of C are 64.2° and 115.8°

Step-by-step explanation:

* In ΔABC

- a, b, c are the lengths of its 3 sides, where

# a is opposite to angle A

# b is opposite to angle B

# c is opposite to angle C

- m∠A = 59°

- a = 20

- c = 21

* To find the distance m∠C we can use the sin Rule

- In any triangle the ratio between the length of each side

to the measure of each opposite angle are equal

- c/sinC = a/sinA = b/sinB

* Lets use it to find the m∠C

∵ 21/sinC = 20/sin(59)

∴ sin(C) = 21 × sin(59) ÷ 20 = 0.9000256657

∴ m∠C = sin^-1(0.9000256657) = 64.16144°

∴ m∠C = 64.2°

∵ The value of sin(C) is positive

∴ Angle C may be in the first quadrant (acute angle)

or in the second quadrant (obtuse angle)

∴ The other measure of ∠C = 180 - 64.2 = 115.8

* The two possible values of C are 64.2° and 115.8°

6 0

3 years ago

Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she exp

Amanda [17]

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

<h3>What are Units conversions?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

= €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

$\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72$

The amount that is left with Kari,

$\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)$

$= \$585-\$580.72\\\\=\$4.28$

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

$\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72$

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

brainly.com/question/4736731

3 0

2 years ago