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Find the perimeter of the figure.

Answer:

x = 10.6, y = 39.6

Step-by-step explanation:

Given that,

Angle A = 75°

Angle B = 90°

Angle C = 180-(A+B)

= 15°

Now, using trigonometry,

[tex]\sin C=\dfrac{x}{41}\\\\x=41\times \sin C\\\\=41\times \sin(15)\\\\x=10.6[/tex]

For y, using Pythagoras theorem,

[tex]y=\sqrt{41^2-10.6^2} \\\\y=39.6[/tex]

Hence, the value of x is equal to 10.6 and that of y is equal to 39.6.

Answer:

lets go

Step-by-step explanation:

YAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY

Answer: the answer choices listed above are wrong the correct answer would be 7

Step-by-step explanation:

Answer:

Substitute y=5x+13

[ 5x+13=x+1 ]

For y=5x+13

Substitute x=−3

y=5(−3)+13

5(−3)+13=−2

y=−2, x=−3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To find the median, write down all numbers in numerical order and cross off one number from each side until you are left with the middle number.

One thing to keep in mind when doing this, though, is to make sure you cross off the same amount on each side, and if you have 2 numbers left, like 13 and 14, your answer would be the number exactly between those, 13.5.

Hope this helps :)

Answer:

The fractional probability of having 4 boys and 0 girls, in any order, in a family's first 4 births is 1/16

Step-by-step explanation:

Total number of kids in Jackson family = 4 (4 boys and 0 girls)

Probability of having a boy = 1/2 =0.5

Probability of having a girl = 1/2 =0.5

Fractional probability of having 4 boys and 0 girls in any order

(1/2*1/2*1/2*1/2) + 0

= 1/16

Answer:

599.401

Step-by-step explanation:

Answer:

A,E

Step-by-step explanation:

Answer: hi um so the answer is x= 10-2y it might be B or F good luck and have a nice day

Step-by-step explanation:

2(x+2y)=20

x+2y=20/2

x=2y=10

x=10-2y

Answer:

go six units on the x-axis and move no spaces up or down.

Step-by-step explanation:

Answer:

If you have choices it is either -5 or 5.

Step-by-step explanation:

First, you find two points, which mine were (0,2) and (-1,7). The slope formula is y2 - y1 divided by x2 - x1. So, im going to subtract 7 - 2, which is your y2 - y1, to get 5. Then, i'm going to subtract -1 - 0, which is your x2 - x1, to get -1. Then, you divide 5 by -1 to get -5. I Hope This Helps :)

Answer:

Yes, his calculation is reasonable. He will have about $16.67 left.

Step-by-step explanation:

200 - (200 * .2) = $160 Subtract money for savings

99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 Add taxes

160 - 143.33 = $16.67 Subtract money for purchases from money left after savings

Answer:

x =(-8+√464)/-8=1-1/2√ 29 = -1.693

Step-by-step explanation:

Answer:

around  1/4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

165-90=75

item D

Answer:

Step-by-step explanation:

165-90=75

Answer:

Step-by-step explanation:

Here, in order to make an equivalent expression, we need to know the concept of the distributive property.

---------------------------------------------------------------------------

Solve

 -2(7+6g)

=(-2×7)+(-2×6g)

=-14-12g

Hope this helps!! :)

Please let me know if you have any question

Answer:

-2(7+6g)= -14 -12

Answer:

what are the staements

Step-by-step explanation:

sydney finishes first

Nathan finishes second

Sydney finished in 2 hours

Nathan finishes in 3 hours

i am guessing at the statements

Answer:

Looks like we got the same packet so i'll answer all of the questions you wrote on it.

The answers are: B, C, and F

Answer:

B C and F

Step-by-step explanation:

Answer:

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Step-by-step explanation:

The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where:

[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.

[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.

By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:

[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

Where:

[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.

[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.

If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\dot r \approx -316.760\,km[/tex]

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Answer:

I have two pairs of marbles, and they are evenly distributed between two piles and I have 400, how many marbles are in each pile?

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

x > - 7

Step-by-step explanation:

Given

- 3x < 21

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x > - 7

The solution of inequality - 3x < 21 is,

⇒ x > - 7

We have to given that,

The inequality is,

⇒ - 3x < 21

We can simplify the inequality as,

⇒ - 3x < 21

Divide 3 both side,

⇒ - 3x /3 < 21 / 3

⇒ - x < 7

Take - 1 as common,

⇒ - x < 7

⇒ x > - 7

Therefore, The solution of inequality - 3x < 21 is,

⇒ x > - 7

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ6

The expanded form of a number is every digit with its own zero's and its own SINGLE digit. For example, the expanded form of 12 is 10+2=12, or the expanded form of 13498 is 10000+2000+400+90+8=13498.

We can now figure out that 5600 in expanded form is 5000+600+00+0=5600, but the extra 00+0 is not neccessary, so our final answer is 5000+600=5600

:)

Answer: A

Step-by-step explanation:

3/5 = 60%

A, Rosa has 7/12 which is about 58%

B, Rosa has 6/12, which is 50%

C, Rosa has 9/12 which is 75%

D, Rosa has 8/12 which is 66%

A would be the closest.

Answer:

Step-by-step explanation:

y=2x²-6x+3

y=2x+3

2x²-6x+3=2x+3

2x²-6x+3-2x-3=0

2x²-8x=0

2x(x-4)=0

x=0,4

y=0+3=3

and y=2(4)+3=11

so solutions are (0,3) and (4,11)

Answer:

580

Step-by-step explanation:

I wanted to use the Pythagoras theory but I noted that they've given us the hypotenuse which is 8.6 they have already given us the height is 7 and the base is 5 when you use the Pythagoras theory you'll find that there hypotenuse is 8.6 that's why I wrote forget it there's no need of finding the base and the height for the other triangle just transfer 7 and 5 then calculate the volume I guess I got the answer is 580 hope it helps you good day.

Answer:

The value of k=4

Step-by-step explanation:

we have

f(x)=0.4x

This function represent a linear direct variation (The line passes through the origin)  

we know that  

If f(x) is shifting up by 4 units  

then  

The y-intercept of the function will be the point (0,4)  

therefore  

The function g(x) will be  -----> g(x)=0.4x+4 (equation of the line into slope

intercept form)

The rule of the translation

f(x) --------> g(x)

(x,y) -------> (x,y+4)

The translation is 4 units up

therefore

The value of k=4