Question 7 of 10
Which of the following could be the ratio of the length of the longer leg of a
30-60-90 triangle to the length of its hypotenuse?
Check all that apply.
A. 3: 215
B.: 5
C. 15:15
D. 15:2
E. 1: 15
F. 33:6

Answer:second number lone wants to eat first so 2<1

Step-by-step explanation:

-1<1

Answer:

400 total .... 120 officers

Step-by-step explanation:

.7 X = 280

x=400

Answer:

30% of 280 is 84.

What I did to find the answer was multiply 280 by 3 then divide by 10.

I checked it with a calculator and got the same result being 84.

Answer:

(15+(3-6))x4

Step-by-step explanation:

1. 3-6 = -3

2. 15+-3 = 12

3. 12x4 = 48

Answer:

$11,200

Step-by-step explanation:

Just multiply the percent times the total

8% * 140000 = .08 * 140000 = 11200

Answer:

vertical opposite angle

vertical opposite angle

vertical opposite angle

Answer: vertical

Step-by-step explanation: :)

Answer:

Step-by-step explanation:

We can assign variables as:

d  = original breaking distance

b  = original speed of the vehicle

d′  = increased breaking distance

b′  = increased speed of the vehicle

We can look at it this way, originally it was like this:

d=kb2  

Now, if we increase the speed to b’ which 200% more than b, we will have

d′=k(b′)2  

d′=k(b+2b)2  

d′=k(3b)2  

d′=9kb2  

Obtaining the difference between d and d’, we have

d′−d=9kb2−kb2  

d′−d=8kb2  

in terms of d

d′−d=8(kb2)  

d′−d=8d  

Adding d on both sides of the equation,

d′=d+8d  

Which means the original breaking distance is increased by 800%. This is similar to the phrase “the speed of the vehicle is increased by 200%” which translates to “b + 2b”.

Hope this answer helps you :)

Have a great day

Mark brainliest

There is a 100% increase in the braking distance after 50% increase in speed.

A body is said to be of speed v m/s if it travels v meter per second.

The braking distance of a car is directly proportional to the velocity of its speed(v m/s)

When the speed of the car is increased by 50% then the speed of the car v m/s becomes (3v/2) m/s.

The braking distance of a car is directly proportional to the square of its speed hence, the braking distance becomes

v²c where c is some constant.

So, the braking distance after 50% of the car speed is increased becomes  (3v/2)²c₁, where c₁ is some constant.

Hence, the percentage change in the car's braking distance is

[tex]\frac{\frac{9}{4}-\frac{3}{2}}{\frac{3}{2}}[/tex]

[tex]=\frac{\frac{9-6}{4}}{\frac{3}{2}}\\=1[/tex]

That means there is a 100% increase in the braking distance after 50% increase in speed.

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Answer:

v = 16

Step-by-step explanation:

p = 8/v and p = 1/2.  Equating these two, we get 8/v = 1/2.

Inverting both sides, we get v/8 = 2.

Find the vaue of v by multiplying both sides by 8:  v = 16

Answer:

The negative sign is put before numbers to make them negative, or make their signs the opposite of what the are.

You have a 20.

+ 20

You don't need to put the + there if there is nothing before it, but that is a positive 20.

If you put a negative in front of it;

- (+ 20) = - 20

If you have a negative in front of parenthesis;

50 - (2x - 20)

50 - 2x + 20

70 - 2x

Answer:

6

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(5+4) * 4 = x^2

9*4 = x^2

36 = x^2

Taking the square root of each side

6 =x

Answer:

d-6

Step-by-step explanation:

Answer:

c {2, 15, 21, 24}

Step-by-step explanation:

The domain is the input values

Domain {2,15,21,24}

Answer:

y-4=7(x-1)

Step-by-step explanation:

y-y1=m(x-x1)

y-4=7(x-1)

The equation of the line with a slope of 7, passing through the point (1,4), in point-slope form is y = 7x - 3.

To write the equation of a line in point-slope form, we use the formula:

y - y₁ = m(x - x₁)

where m represents the slope of the line and (x₁, y₁) represents the coordinates of a point on the line.

In this case, the given slope is 7 and the point (1,4) lies on the line. Plugging in the values into the formula, we have:

y - 4 = 7(x - 1)

Simplifying the equation, we can distribute the 7:

y - 4 = 7x - 7

To isolate y, we can add 4 to both sides of the equation:

y = 7x - 7 + 4

y = 7x - 3

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9514 1404 393

Answer:

  a) see attached

  b) 1/3

Step-by-step explanation:

Your grid doesn't come with any coordinate axes, so you will need to draw those and label them. You will also need to determine the number of grid squares for each unit. (I suggest 2 grid squares per unit to give you a little more distance between the points you plot. The attachment shows 5 small squares per unit. You may not have this much space on your graph.)

Plot the points. Once you do this, you can see that their horizontal difference is 3 units and their vertical difference is 1 unit. The right point is above the left point, so the slope is positive:

  m = (rise)/(run) = 1/3 . . . slope of the line

Answer:45

Step-by-step explanation:

This is the pythagorean theroem. So you would have sides a, b, and c, of the triangle.  

[tex]a^{2}+b^{2}=c^{2} so\\c^{2}-b^{2}=a^{2} \\53^{2}-28^{2}=a^{2} \\a^{2}=2025\\a= \sqrt{2025} =45[/tex]

Answer:

The answer is 45

Step-by-step explanation:

Answers:

===========================================

Explanations:

Answer:

Step-by-step explanation:

according to the question ur algebraic expression is

8-w

The algebric function will be 8-w

Answer:

Turkey, country that occupies a unique geographic position, lying partly in Asia and partly in Europe. Throughout its history it has acted as both a barrier and a bridge between the two continents

Step-by-step explanation:

Answer:

Answer:

[tex]m=7\frac{5}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{9}(2m - 16)=\frac{1}{3}(2m + 4)[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} =\frac{2}{3}m+ 1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} -1\frac{1}{3} =\frac{2}{3}m+ 1\frac{1}{3}-1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 3\frac{1}{9} =\frac{2}{3}m[/tex]

[tex]\frac{2}{3}m-\frac{2}{9}m= \frac{2}{9}m -\frac{2}{9}m - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m= - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m/\frac{4}{9} = - 3\frac{1}{9}/\frac{4}{9}[/tex]

[tex]m=7\frac{5}{16}[/tex]

Answer:

21/18 which simplifies to 7/6

Step-by-step explanation:

Answer:

x = 14

4x = 56

3x - 8 = 34

Step-by-step explanation:

(4x) + (3x -8) = 90

7x + (-8) = 90

7x - 8 = 90

7x (- 8 + 8) = 90 + 8

7x = 98

7x/7 = 98/7

x = 14

4 x 14 = 56

3 x 14 = 42 - 8 = 34

56 + 34 = 90

Answer:

[tex]x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]

Step-by-step explanation:

Ensure that the equation is in the form of ax² +bx +c= 0.

5x² -x +1= 3

5x² -x +1 -3= 0 (-3 on both sides)

5x² -x -2=0

Here, a= 5, b= -1, c= -2.

Use the quadratic formula below to solve for x.

[tex]\boxed{x = \frac{ - b± \sqrt{b^{2} - 4ac } }{2a} }[/tex]

[tex]x = \frac{ - ( - 1)± \sqrt{( -1 )^{2} - 4(5)( - 2)} }{2(5)} [/tex]

[tex]x = \frac{1± \sqrt{1 + 40} }{10} [/tex]

[tex]x = \frac{1± \sqrt{41} }{10} [/tex]

[tex]∴x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]

Step-by-step explanation:

First, lets understand the question. When it says to find all the "real" solutions, that means you should not give any solutions containing an imaginary number.  An imaginary number is basically where we accept that there exists an i  (imaginary number) that is equal to [tex]\sqrt{-1\\}[/tex]  (square root of negative 1). So we are not considering this concept in this question.

Let's start solving then. Can you think of an equation that may help you solve this problem? The biggest clue is that x is squared.  If you said the quadratic formula, then you are perfectly correct!

Remember in order to use the quadratic formula, you must get your equation into the form:

[tex]ax^{2} +bx +c=0[/tex]

Let's do it! Right now we have:

[tex]5x^{2} - x +1=3[/tex]

Get rid of the 3 by subtracting it from both sides:

[tex]5x^{2} -x+1 -3 = 3 - 3\\5x^{2} -x-2=0[/tex]

Okay! it looks like our quadratic form now! By comparing it we can figure out what a, b, and c are in this case:

[tex]a = 5,{ }\\ b = -1, { }\\c = -2[/tex]

Let's get out our quadratic formula now:

[tex]\frac{ -b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]

All that's left to do is insert values and solve! (Be really careful when dealing with the negatives):

[tex]\frac{ -1\frac{+}{} \sqrt{(-1)^{2} -4(5)(-2)} }{2(5)}[/tex]

[tex]=\frac{ -1\frac{+}{} \sqrt{41} }{10}[/tex]

Removing the plus/minus we get two answers:

[tex]=\frac{ -1+ \sqrt{41} }{10}\\\\or\\\\=\frac{ -1-\sqrt{41} }{10}[/tex]

These are the most simplified forms!  It turns out we didn't even have to worry about imaginary solutions because we didn't end up with a negative sign under the square root. Hope this helps, and good luck!

Answer:

61.2 in

Step-by-step explanation:

Draw a segment from O perpendicular to AB forming a right triangle.

Call the point of intersection J.

m∠HAB = (8 - 2)180/8 = 135

m∠BAO = 135/2 = 67.5

AJ/10 = cos 67.5

AJ = 10 cos 67.5

AB = 2(10 cos 67.5)

Perimeter = 8(AB) = 8(2)(10 cos 67.5) = 61.2 in.

The perimeter of a regular octagon that has a distance from its center to any of its vertices of 10 inches would be 61.2 inches.

A polygon is a closed figure made up of three or more line segments connected end to end.

First, we draw a segment from O perpendicular to AB forming a right triangle.

Let say the point of intersection J.

∠HAB = (8 - 2)180/8

          = 135

∠BAO = 135/2

           = 67.5

AJ/10 = cos 67.5

AJ = 10 cos 67.5

AB = 2(10 cos 67.5)

Perimeter = 8(AB)

               = 8(2)(10 cos 67.5)

               = 61.2 in.

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Answer:

a) (-4, 5)

b) (4, -5)

Step-by-step explanation:

Just reverse the signs or use desmos as a better example.

Answer:(4,-5) and (-4,5)

Step-by-step explanation: anything reflected from the x or y axis is the postive version which is  -4 has an absolute value of 4

Answer:

x = 17/3

Step-by-step explanation:

Step-by-step explanation:

Circumference is

2 x pi x r

r= 1

plug and chug

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

=>

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

Answer:

x = −14 or x = −4

Step-by-step explanation:

Answer:

wait

Step-by-step explanation:

 =  1 4

 =  −  4

Answer:

b = v

Step-by-step explanation:

3b = 6v – 3b

Add 3b to each side

3b+3b = 6v – 3b+3b

6b = 6v

Divide by 6

6b/6 = 6v/6

b = v

Answer:

A

Step-by-step explanation:

Tangents that are both tangent to a same point equal each other. sk

[tex]2x + 70 = 128[/tex]

[tex]2x = 58[/tex]

[tex]x = 29[/tex]

Answer:

x=22

Step-by-step explanation:

4x+2+x+3x+2=180

collect like terms

4x+x+3x=180-(2+2)

8x=180-4

8x=176

make x the subject of the formula

x=176/8

x=22

Answer:

4x + 2 + x + 3x + 2 = 180 (all angles of a triangle will equal 180 degrees)

Combine like terms:

8x + 4 = 180

-4            -4

8x = 176

Divide by 8 on both sides:

X = 22

So now we find the angles.

4 x 22 + 2 = 90 degrees for 4x + 2

3 x 22 + 2 = 68 degrees for 3x + 2

22 degrees is for X