find the distance between the points (3 4) and (4 3)​

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Explanation:

If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.

Furthermore, it means triangle WXY would be a right triangle.

Effectively, we need to find out if triangle WXY is a right triangle.

Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.

We have these side lengths of the triangle:

Let's say a = 9.6, b = 12.8 and c = 16

The order of 'a' and b doesn't matter. All that matters is that c is the longest side.

Plug those values into the pythagorean theorem and simplify each side.

a^2+b^2 = c^2

(9.6)^2 + (12.8)^2 = (16)^2

92.16 + 163.84 = 256

256 = 256

We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.

Answer:

20

Step-by-step explanation:

125

Step-by-step explanation:

25% of 500

25÷100

multiplied by 500

=125

Answer:

334.60 but if rounding to nearest whole number its 335

The volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].

The formula to calculate volume of a cylinder is given by the product of base area and its height.

Given

Height = 33.3 cm

Diameter = 8 cm

Radius = [tex]\frac{Diameter}{2}[/tex] = 4 cm

The volume of cylindrical jar = height × Base area

= 33.3 × [tex]\pi.(4^{2} )[/tex]

= 33.3 × [tex]16\pi[/tex]

= 532.8[tex]\pi[/tex] [tex]cm^{3}[/tex]

The air take up 20%

The volume of air in cylindrical jar

= 532.8[tex]\pi[/tex] × 20%

= 106.56[tex]\pi[/tex]

≅ 334.60 [tex]cm^{3}[/tex]

Hence, the volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].

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Answer:

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

Step-by-step explanation:

Dos calles tienen las siguientes longitudes: [tex]2\frac{2}{5}[/tex] y [tex]1\frac{3}{4}[/tex] de kilometro. Para calcular la longitud total de ambas calles debes sumar ambas longitudes:

[tex]2\frac{2}{5}+1\frac{3}{4}[/tex]

Para sumar fracciones mixtas, en primer lugar sumas la parte entera:

2+1= 3

Luego se deben sumar las fracciones. Para ello, es necesario encontrar el común denominador. En este caso el común denominador entre 5 y 4 es 20.

Ahora debemos amplificar las fracciones al común denominador. Esto es, se divide por el denominador de cada fracción y el resultado se multiplica por el numerador de la fracción:

[tex]\frac{2}{5}+\frac{3}{4}=\frac{8+15}{20} =\frac{23}{20}[/tex]

Entonces el resultado de la suma es:

[tex]3\frac{23}{20}[/tex]

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

2a plus 6 equl eight i hink so

Answer:

Solve the given system first

Find b:

Find a:

Verify the options for correctness:

Surface area of cone = πr(r+√(h2+r2))

where r is the radius of the circular base

h is the height of coneOr

Surface area of cone =πr(r+L)

where L is the slant height of the cone

Answer:

The formula for the area of a cone is 3.14 times the radius times the side

Step-by-step explanation:

Answer:

x=36°

the sine rule enables us to find missing angles and sides when given an angleand 2 known sides

ANSWER is Option C

Use 2πr = 2×3.14×6 = 37.68 inches

Formula for the circumference of a circle: C = pi * Diameter

We are given the diameter, 12 inches, so all we have to do is plug in our values.

C = 3.14 * 12

C = 37.68 inches

Hope this helps!! :)

Answer:

7^5 (7 to the fifth power)

Step-by-step explanation:

those sevens can be represented by 7^5 because there are five sevens to multiply together

you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807

and making sure that 7^5 is also equal to 16807, which it is.

Hope this helps! :)

Answer:

C.155

Step-by-step explanation:

CALCULATE IT ITS MA ANSWER

Answer:

I think it is the 5th one if im wrong i am sorry

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

Answer:

You have to first figure out how many different possibilities there are, here there are 10. And they're asking for the chance that one option will be chosen

Therefore it is 1/10

I'm new to the app, hope that helped

Answer:

I am not sure if this is correct but I think it is A

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

43 + 57 = 100

Complementary angles: sum of measures = 90 deg

Supplementary angles: sum of measures = 180 deg

This question: sum of measures = 100 deg

Answer: neither

Answer:

Neither

Step-by-step explanation:

Supplementary angles are angles that have a common side and together have a value of 180 degrees.

Complementary angles are angles that together have a value of 90 degrees.

These angles do not add up to 180 degrees, and do not have a common side, so they are not supplementary. These angles do not add up to 90 degrees, so they are not complementary.

Answer: x=t/r+s/r

How to:  Isolate the variable by dividing each side by factors that don't contain the variable.

Have a great day and stay safe !

Answer:

[tex]solve \: \: for \: \: x \\ rx - s = t \\ rx = t + s \\ x = \frac{t + s}{r} [/tex]

The co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1  is , (0,0)

The equation of a  line is a relationship between x and y coordinates.

Section formula for a point which divides line joining points into m:n ratio,

(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }

Given points,

(-3, 9) and (1, -3)

m:n = 3:1

(X,Y) = { (3×1+ 1×-3)/3+1 , (3×-3 + 1×9 )/ 3+1 )

(X,Y) = (0,0)

Hence, the points will be, (0,0)

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Answer:

a) 2.5^2+19\times2.5-16.75

Step-by-step explanation:

(2.5)² +(19× 2.5) - 16.75

= 6.25 + 47.5 - 16.75 = 37

Answer:

area of a trapezoid is 1/2(h)(b1 + b2)

1/2 (3) (6+2)

1/2 (24)

12 units ²

Answer:

150.86

Step-by-step explanation:

to calculate the surface area the formula is 2(wl+hl+hw). Hope I helped!

Answer:

SAS

Step-by-step explanation:

Answer:

Step-by-step explanation:

for y

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=10/y

y=10[tex]\sqrt{2}[/tex]

for x

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/10[tex]\sqrt{2}[/tex]

x[tex]\sqrt{2}[/tex]=10[tex]\sqrt{2}[/tex]

x=10[tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]

x=10

Answer:

x = 2

y = -3

Step-by-step explanation:

y = x-5

y = -x-1

2x -4 = 0

2x = 4

x =2

y = 2-5

y = -3

Answer:

5 < x

Step-by-step explanation:

28<6x-2

Add 2 to each side

28+2<6x-2+2

30 < 6x

Divide each side by 6

30/6 < 6x/6

5 < x

Answer:

5 < x OR x > 5

same thing just reversed

Step-by-step explanation:

28 < 6x - 2

28+2 < 6x (- 2 + 2)

30 < 6x

30/6 < 6x/6

5 < x

Answer:

$1,555.06

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

No, It is not.

Step-by-step explanation:

Step 1: Divide the 2.45 by 4 (We are doing this to find the difference between them so we can find out what to do next.)

[tex]2.45 \div 4\\\\= 0.6125[/tex]

Step 2: Multiply 0.6125 to 6 (Now, that we've found what 1 magazine cost according to the first data, we are multiplying it by 6 because if you multiply that to 4 the answer will be 2.45. So, if we multiply 6, it will show us if they are both proportional, the same.)

[tex]0.6125 \times 6\\\\= 3.675[/tex]

Therefore, these two prices are not proportional.

Answer:

so here 25%=5

25×2=50, 5×2=10

50%=10

50%+50%=10+10

100%=20

baker makes total 20 cakes