In the triangle, ∠1 = 42° and ∠4 = 81°. What is ∠2?

Answer:

7 cm and 2 cm

Step-by-step explanatio

Answer:

x = −14 or x = −4

Step-by-step explanation:

Answer:

wait

Step-by-step explanation:

 =  1 4

 =  −  4

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:

Which of the following what?

Step-by-step explanation:

Not enough information.

Answer:

I didn't understand but

Step-by-step explanation:

200÷4 =50 and 50÷20 it gives you 2.5

The equation in the problem solves the speed as 48.99 miles per hour. At this speed the car takes 100 feet to stop ( also shown in the equation as they replaced d with 100).

This means any speed below 48.99 miles per hour would stop before hitting the tree.

The fastest the car can go would be 48.98 miles per hour.

Justify by replacing s in the equation with 48.98 and solve for d:

48.98 ^2 = (sqrt( 30(0.8)d)

2399.04 = 24d

D = 2399.04/24

D = 99.96 feet

This is less than 100 feet so the car will not hit the tree.

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

Arithmetic

Bring all numbers in the parentheses to the third power.

[tex]( { - 5}^{3} \times {4}^{3} )[/tex]

It is easier to not simplify the numbers.

[tex] { - 5}^{3} \times {4}^{3} = { - 20}^{3} [/tex]

Don't add the exponents, and multiply the numbers.

The expression (–5 × 4)³ is equivalent to the expression –8000.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ (–5 × 4)³

Simplify the expression, we have

⇒ (–5 × 4)³

⇒ (–20)³

⇒ –20³

⇒ –8000

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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

Answer:

x = 17/3

Step-by-step explanation:

Answer:

vertical opposite angle

vertical opposite angle

vertical opposite angle

Answer: vertical

Step-by-step explanation: :)

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

Step-by-step explanation:

-1<1

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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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:

C, D and F are true

Step-by-step explanation:

The DCB triangle is isosceles, so it means the angles D and B are the same and as the angle C is 90°, B and C need to be 45° (because the sum of the internal angles of a triangle is always 180°). The sin(B) = sin(C) = sqrt2/2 and the tan(B) = tan(C) = 1

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:

c {2, 15, 21, 24}

Step-by-step explanation:

The domain is the input values

Domain {2,15,21,24}

Answer:

21/18 which simplifies to 7/6

Step-by-step explanation:

Answer:

150%

Step-by-step explanation:

Answer:

100 percent is the answer

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:

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:

96 is the 6th term of the geometric sequence

Step-by-step explanation:

The sequence is just adding the number twice to get the nect sequence.

So,

3+3 = 6

6+6 = 12

12+12 = 24

24+24 = 48

48+48 = 96   this is the 6th term

Hope this is helpful

Answer:

(1. -3. is the answer. the first option

Answer: (-3,3)

Step-by-step explanation:

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:

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:

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:

Answers:

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

Explanations:

Given:

Selling price (S.P.)= $4,600

Cost price (C.P.)= $4,000

To find:

The profit percentage.

Solution:

Formula used:

[tex]\text{Profit}\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

Using this formula, we get

[tex]\text{Profit}\%=\dfrac{4600-4000}{4000}\times 100[/tex]

[tex]\text{Profit}\%=\dfrac{600}{40}[/tex]

[tex]\text{Profit}\%=15[/tex]

Therefore, the profit percentage is 15%.

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: