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Answer:

The third side is 3√6 units.

Step-by-step explanation:

Given that this is a 90° triangle so you can apply Pythagoras Theorem :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]

[tex] {a}^{2} = 90 - 36[/tex]

[tex] {a}^{2} = 54[/tex]

[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

just use theorem pythagoras

Answer:

The y-intercept represents the number of mammals when they were originally counted.

The y-intercept.is 75.

The asymptote indicates that the number of mammals counted when the study began was 120.

The asymptote indicates that as years pass, the number of mammals will approach 0.

Step-by-step explanation:

im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.

Answer:

1. The sales tax of a sweater = $1.2

2. The sales tax of a purse = $2.25

3. The sales tax of a bicycle =  $8.4

4. The sales tax of a TV = $120

5. The sales tax of a radio = $2.1

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

1. A sweater for $19.99 and a 6% sales tax.

The sales tax of a sweater = 19.99 x 0.06 = $1.2

2. A purse for $45.00 and a 5% sales tax.

The sales tax of a purse = 45 x 0.05 = $2.25

3. A bicycle for $120.00 and a 7% sales tax.

The sales tax of a bicycle = 120 x 0.07 = $8.4

4. A TV for $3000.00 and a 4% sales tax.

The sales tax of a TV = 3000 x 0.04 = $120

5. A radio for $35.00 and a 6% sales tax.

The sales tax of a radio = 35 x 0.06 = $2.1

Therefore, all the required sales tax is given above.

To learn more about the percentage;

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Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

Answer: m

one set of ordered pair

b

(In that order)

Step-by-step explanation: Took the test just now, your welcome.

Answer:

Maria:  (50 bulbs)/(2 hours) = 25 bulbs/hour

Lois:  (45 bulbs)/(3 hours) = 15 bulbs/hour

Together:  25 + 15 = 40 bulbs/hour

(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours

(3/4 hours)(60 minutes/hour) = 45 minutes

Total time:  3 hours 45 minutes

Answer:

y=2x-3

Step-by-step explanation:

Answer:

Step 1: Subtract x from both sides.

2x+3−x=x−4−x

x+3=−4

Step 2: Subtract 3 from both sides.

x+3−3=−4−3

x=−7

Answer:

x=−7

Answer:

multiple choice?

Step-by-step explanation:

Answer:

Total number of students = 4x

Step-by-step explanation:

Let the number of boys be x

Since, no of girls = 3 times the no of boys

So, number of girls = 3x

Total number of students = no of boys + no of girls

Total number of students = x + 3x

Total number of students = 4x

Answer:

The total number of students is 4x

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

r = -6 cos(θ)

Step-by-step explanation:

got it right on edge

The equation (x + 3)² + y² = 9 into polar form is r = -6 cos(θ). The correct answer would be option (A).

The polar form of a complex number is given by r(cos(θ) + i sin(θ)), where r is the distance from the origin and θ is the angle formed by the point and the positive x-axis.

To convert the equation (x + 3)² + y² = 9 into polar form, we can complete the square on the x and y terms:

(x + 3)² + y² = (x² + 6x + 9) + y² = 9

Then we can express x and y in terms of r and θ:

x = r cos(θ) , y = r sin(θ)

Substituting these values into the equation and simplifying:

r² cos²(θ) + 6r cos(θ) + r² sin²(θ) = 9

r²(cos²(θ) + sin²(θ)) + 6r cos(θ) = 0

r² + 6r cos(θ) = 0

r(r + 6cos(θ)) = 0

Since r ≠ 0

So, the polar form of the equation is:

r = -6cos(θ)

Thus, the correct answer would be an option (A).

To learn more about the Polar Coordinates click here:

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Answer:

Trick question they both ran equal distance

Step-by-step explanation:

Gracies distand 1 and 1/2 is already in simplist form, but Mikahs distance 1 and 4/8 can be reduced.

More specifically the fration 4/8 can be reduced, finding the largest common multiple between 4 and 8 we find that 4 is the largest number that goes into both.

This results in the simplification of 1 and 4/8 to 1 and 1/2 which is the same as Gracies distance.

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

Given

The three angles in the triangle are: x, 34 and 100

Required

Determine the value of x

Angles in a triangle add up to 180.

So, we have:

[tex]x + 34 + 100 = 180[/tex]

[tex]x + 134 = 180[/tex]

Subtract 134 from both sides

[tex]x + 134 - 134 = 180 - 134[/tex]

[tex]x = 180 - 134[/tex]

[tex]x = 46[/tex]

Hence, the measure of x is 46

Answer:

13x + 24 or 37

Step-by-step explanation:

one of those answers.

Hope this helps and GOOD LUCK :)

Answer:

34, 15, -4, -23 and -42

Step-by-step explanation:

We are to find the first five sequence

when n = 1

f(2) = f(1) - 19

f(2) = 34 - 19

f(2) = 15

when n = 2

f(2+1) = f(2) - 19

f(3) = f(2) - 19

f(3) = 15 - 19

f(3) = -4

when n = 3

f(3+1) = f(3) - 19

f(4) = f(3) - 19

f(4) = -4 - 19

f(4) = -23

when n = 4

f(4+1) = f(4) - 19

f(5) = f(4) - 19

f(5) = -23 - 19

f(5) = -42

Hence the first five terms  in the arithmetic sequence are 34, 15, -4, -23 and -42

Isosceles Right

Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.

Answer:

Isosceles Right

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

look t the form x equals up to a diviser

Answer:

The 3 one

Step-by-step explanation:

So first you need to find all the angles.

Triangles all have a total degree of 180.

Then you can start doing trig. To find c I did (4sqrt3)cos60 that equals 3.464 which is 2sqrt3. Then I figured out a by doing the same thing but with sine. (4sqrt3)sin60 and that equals 6. Then I moved to the other triangle. I figured out d next. 6tan45° and that equals 6. Then I did b by doing 6/cos45 and I got 6sqrt2

Answer:

Factor 25v3−40v2+35v−56

25v3−40v2+35v−56

=(5v−8)(5v2+7)

Answer:

(5v−8)(5v2+7)

Answer:

The distance between points C and D is 5.83

Step-by-step explanation:

We need to find distance between points C and D

Looking at the graph we can find coordinates (x,y) of points C and D

Coordinates of point C are: (-4,3)

Coordinates of point D are: (1,0)

The formula used to calculate Distance is:

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]

Putting values and finding distance between points C and D

[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]

So, the distance between points C and D is 5.83

Answer:

1 foot = 0.7 secs

Step-by-step explanation:

14 seconds divided by 20 feet = 0.7 seconds per foot descended.

Hope this helps and good luck :)

Answer:

5 x to the fourth power over 4 y cubed

Answer:

15 and 10

Step-by-step explanation:

I hope this helps :)

Answer:

1. (0,5) (16,21) (20,25) (36,41) (55,60)

Step-by-step explanation:

Hope this helped you!! Give brainliest

Answer:

nnrrharthtghgdzhgdhth

Step-by-step explanation:

Answer:

Third choice

Step-by-step explanation:

We can subtract 4r by r, and that gives 3r. 3 subtracted by negative 3 gives 6 (Remember, 2 negatives is a positive!). This gives 3r+6

Brainlyp pls!

Answer:

C. Because they have the same slopes and different y-intercepts

Step-by-step explanation:

Answer:

Your answer would be the 3rd one.

Because they have the same slopes and different y-intercepts.

I hope that this is the answer you were looking for!

Have a great day!

Step-by-step explanation:

[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]

Answer:.

Step-by-step explanation: