In ΔBCD, the measure of ∠D=90°, CB = 53, BD = 45, and DC = 28. What ratio represents the sine of ∠B?

answer

tan x=p/b=8/15

Step-by-step explanation:

using pythagoras theorem

h^2 =p^2+b^2

h^2=8^2+15^2

h^2=64+225

h^2=289

h=root 289

h=17

then,

cosx=b/h

=15/17

^2= Square

Answer:

No solution

Step-by-step explanation:

2x - y = 8

2x - y = 6

They are the same unknown variable, if they equate different things, there is a problem.

bcs 2x-y - (2x - y) = 2x - 2x - y + y = 0

but 8-6 ≠ 0

Thus this is unsolvable.

Answer:

[tex]x=6+3\sqrt{2}[/tex] is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = [tex]12 -2x[/tex], height of the box = x

Volume of square box = Area * height = [tex](12-2x)^2 * x[/tex]

Differentiating the above equation and equating it to zero, we get –  

d/dx [tex]((12-2x)^2 * x)[/tex]

d/dx[tex]{(144 + 4x^2 -48x)*x}[/tex]= d/dx [tex](144x + 4x^3 -48x^2)[/tex]

d/dx [tex](144x + 4x^3 -48x^2) = 0[/tex]

[tex]144+8x^2-96X= 0\\18 +X^2-12X = 0[/tex]

On solving above equation, we get –  

[tex]x=6+3\sqrt{2} \\ x=6-3\sqrt{2}[/tex]

Answer:

1)  6 feet

2) 38 feet

3)  at 1.5 seconds

4) 42 feet

5) in 3.12 seconds

Step-by-step explanation:

Answer:

24 ft

Step-by-step explanation:

Hypotenuse = √9²+16²=√81+256=√400=20ft

the upper side of the stuff = 4 ft

total = 20+4=24

24/48,  20/48,  18/48,  17/48

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Explanation:

1/3 = 0.333 approximately

2/3 = 0.667 approximately

We're looking for values between 0.333 and 0.667

We can rule out choice A because 1 doesn't fit the description.

Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667

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Choice B works because all the decimals shown below are between 0.333 and 0.667

Answer:

3 pounds

Step-by-step explanation:

Amount spent

90 - 67.62 = 22.38

coffee bought

22.38/7.46 = 3 pounds

Answer:

40x - 15y

Step-by-step explanation:

Multiply the brackets together

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Have a good day :)

Answer:

40x - 15y

Step-by-step explanation:

Use the distributive property:

5(8x) - 5(3y) =

40x - 15y

Answer:

add and subtract

Answer:

why they're so helpful

Step-by-step explanation:

Answer:

Me too it so much wooooorrrrkkk

Step-by-step explanation:

Answer:

a) He can find the answer in one way

b) We make use of Addition property of mathematics

c) Total number of blocks = 12 blocks

Step-by-step explanation:

a) He can find the answer in one way

b) We make used of addition property of mathematics

c) The total number of blocks he is having is calculated as:

Blue blocks + Pink blocks + Green blocks

Where

Blue blocks = 5

Pink blocks = 3

Green blocks = 4

Hence:

Total number of blocks = 5 + 3 + 4 = 12 block

Follow KelvinSu From: Thadd

Answer:

12 miles

Step-by-step explanation:

Let

x = number of miles

Taxi A:

5 + 0.25x

Taxi B:

2 + 0.5x

In how many miles will the cost of Taxi B will be the same than Taxi A

Equate cost of taxi A and taxi B

5 + 0.25x = 2 + 0.5x

Collect like terms

5 - 2 = 0.5x - 0.25x

3 = 0.25x

Divide both sides by 0.25

3 / 0.25 = 0.25x / 0.25

x = 3/0.25

x = 12 miles

x = number of miles = 12 miles

Answer:

[tex] \rm Option \; D [/tex]

Step-by-step explanation:

→ Volume of cube = (l)³ cubic units

→ Volume of cube = 1 unit × 1 unit × 1 unit

→ Volume of cube = 1 cubic unit

Option D is correct. ☑

Answer:

2. B, 18 = 11 + 7

If you plug in the 7 in the y it would make sense

18 = 11 + y

Let's plug in the 7

18 = 11 + 7

and 11 + 7 = 18, so it makes sense! Therefore B is your answer for question number 2.

Answer:

B. 18 = 11 + y

Step-by-step explanation:

since y = 7

substitute it into the equation which becomes

18 = 11 + 7

which makes this statement true.

11 + 7 = 18

Answer:

243 divided by 3 equals 81 so r=81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Simplify the equation. 3r=243, so divide 3 on both sides, and you get r=81, hence 81 is the answer.

Answer:

x= 26 y = 49

Step-by-step explanation:

let the first number be x and second be y

then

according to the question,

x + y= 75

x + (2x- 3) = 75

x + 2x - 3 = 75

3x = 75 +3

3x = 78

x = 78/3

x = 26

thus first number is 26

and second number is 2x-3=2×26-3

= 52 - 3= 49

Answer:

256ft

Step-by-step explanation:

18 times 8 plus 16 times 16 divided by 2

hope this helps! :D

Answer:

2400 inches cubed

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V=whl

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So the formula is telling us to multiply the width, height, and length together. So in that case:

10 × 12 × 20 = 2400

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Have a good day :)

Answer:

30625

Step-by-step explanation:

Answer:

175²

Step-by-step explanation:

7 × 7 × 5 × 5 × 5 × 5

= (7 × 7) × (5 × 5 × 5 × 5)

= 7² × 5⁴

= 49 × 625

= 30.625

[tex] \sf = \sqrt{30.625} [/tex]

[tex] \sf = \sqrt{175 \times 175} [/tex]

[tex] \sf = 175[/tex]

[tex] \sf = {175}^{2} [/tex]

Conclusion:

Exponential Form of 7 × 7 × 5 × 5 × 5 × 5 adalah 175².

Answer:

$3,204.6

Step-by-step explanation:

$ 4,200              represents       100% of his salary

x amount  of $   represents      16.05 % in federal withholding

after you line up $ with $ and % with % think cross multiplication

x = 4,200* 16.05/ 100 = $674.1 is the amount in federal withholding

Net pay = 4,200 -674.1 -321.30 =  $3,204.6

Step-by-step explanation:

the given data is in ascending order=9,-1,-2,-2000,-6000

rang = 9-(-6000)

( from above photo it continue )

Answer: B is the correct answer!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Well since you pretty much know that electrons are negative soo... B

Answer: hello your question has some missing data below is the missing data

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana. There have been 19 attempts on the central route from Virginia to California; 9 of those riders didn't make it out of Virginia and the other 10 made it all the way to the Pacific. There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1 , 300 and 1 , 700 miles. For the northern route, the median distance covered will be the mean. For the central route, the median distance covered will be the mean. For the southern route, the median distance covered will likely be the mean

answer : Doug should choose the Central route

Step-by-step explanation:

Number of Available routes = 3

Northern route ; Total distance covered =  2000 miles

Central route : Total distance between Virginia and California = 2818.5 miles

percentage of success = 10 / 19 * 100 = 52.63 %

Mean distance covered = 2818.5 * 52.63% = 1483.38 miles

southern route  

Distance to be covered = 2,548 miles

number of attempts = 32

percentage of success = 1 = ( 1 / 32) * 100 = 3.12%

median distance covered by 30 riders = 1300 + ( 400 / 30 ) = 1313.33

Conclusion :

Doug should choose central route because it has the highest percentage of success and longest distance covered  ( i.e. closest to 3000 miles ) and it is also coast to coast

Answer:

Addituve Inverse

Step-by-step explanation:

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. 

Answer:

additive Inverse or absolute value

Step-by-step explanation:

Answer:

45 and 225degrees

Step-by-step explanation:

Given the expression

tan⁻¹1

Using the calculator

tan⁻¹1

tan⁻¹1  = 45degrees

Since tan is positive in the third quadrant

theta=  180 + theta

theta = 180 + 45

theta = 225degrees

Hence the values of theta are 45 and 225degrees

Answer:

(3x - 5)/4

Step-by-step explanation:

(3x - 5)/4 desribes five less than thrice a number x over four. Please let me know if this is what you mean.

Answer:

x = ±3 (Option 3)

Step-by-step explanation:

[tex]\frac{x}{3} = \frac{3}{x}[/tex]

[tex]=> \frac{x}{3} \times 3 = \frac{3}{x} \times 3[/tex]

[tex]=> x = \frac{9}{x}[/tex]

[tex]=> x \times x = \frac{9}{x} \times x[/tex]

[tex]=> x^2 = 9[/tex]

[tex]=> \sqrt{x^2} = \sqrt{9}[/tex]

[tex]=> x = (+3) \: or \: (-3)[/tex]

∴ x = ±3