Three of the angles of a quadrilateral are 530, 1270 and 720. What is the size of the 4th angle?

Answer:

The bird has to fly 7.5 m

Step-by-step explanation:

Please see diagram in attached image.

Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;

1) one acute angle ([tex]15^o[/tex]), and

2) the side opposite to that angle.

What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".

The trig function that relates such triangle elements is the tangent:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(15^o)=\frac{2\,m}{x} \\x=\frac{2\,m}{tan(15^o)} \\x=7.46 \,\,m[/tex]

which rounded to the nearest tenth is: 7.5 m

Answer:

Hello!

~~~~~~~~~~~~~~~~~

That would be parabola.

~~~~~~~~~~~~~~~~~

Step-by-step explanation: The graph of the quadratic polynomial is a parabola, with the horns pointing upwards if a > 0 or downwards if a < 0. Observe on the graph the behavior of the roots as you change the other two coefficients, b and c. Thus, it is a parabola.

Hope this helped you! Brainliest would be nice!

Answer:

B

Step-by-step explanation:

You have side EC=EA (S)

Angle ECD=BAE. (A)

AB=CD. (S)

Answer:

First question: D Second question: A

Step-by-step explanation:

Use the formulas given and plug them in

Answer:

Slope = 1

This is becuase the rise is 1 and the run is 1.

Answer:

B. (2, 0)

Step-by-step explanation:

Step 1: Elimination (Subtract the 2 equations/add the 2 equations, one being negative)

b = 0

Step 2: Plug in b to get a

6a - 5(0) = 12

6a - 0 = 12

6a = 12

a = 2

Answer:

C. Both A & B

Step-by-step explanation:

Solve the equations given:

Equation A:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 11x and add 7 to both sides:

16x (-11x) - 7 (+7) = 11x (-11x) - 32 (+7)

16x - 11x = -32 + 7

Simplify. Combine like terms:

16x - 11x = -32 + 7

5x = -25

Isolate the variable, x. Divide 5 from both sides:

(5x)/5 = (-25)/5

x = -25/5

x = -5

Equation A is an answer choice.

Equation B:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 10 & subtract 2x from both sides:

-4x (-2x) - 10 (+10) = 2x (-2x) + 20 (+10)

-4x - 2x = 20 + 10

Simplify. Combine like terms:

-4x - 2x = 20 + 10

-6x = 30

Isolate the variable, x. Divide -6 from both sides:

(-6x)/-6 = (30)/-6

x = 30/-6

x = -5

Equation B is also an answer choice.

C. Both A & B is your answer.

~

Answer:690 580 470 360 250 140

Step-by-step explanation:

These digits are all numbers that the hundreds digit is three less than the tens digit, the ones digit is also zero

Answer:

x

Step-by-step explanation:

Answer:$15

Step-by-step explanation:

From the information given, 6 • 2.5 = 15

Answer:

6 times 2.5 = 15

Step-by-step explanation:

$15....

Answer: Infinite solutions

Step-by-step explanation:

First subtract 6x from both sides of the equation to get 15=15.  Because this is true, x has no impact on the equation, and can be any value.

Hope it helps <3

Answer:

A

Step-by-step explanation:

will take long to explain...but am sure it's A

Answer:

Multiplication property of equality

Step-by-step explanation:

Given

Step 4: b = -27/8

Required

Which property justifies it?

First, it should be noted that step 4 is a result of step 3

When step 3 is multiplied by 3/8 on both sides, we have step 4;

i.e.

[tex]\frac{8}{3b} = -9[/tex]

[tex]\frac{8}{3b} * \frac{3}{8} = -9 * \frac{3}{8}[/tex]

[tex]b = -9 * \frac{3}{8}[/tex]

[tex]b = \frac{-9 * 3}{8}[/tex]

[tex]b = \frac{-27}{8}[/tex]

The property that allows 3/8 be multiplied on both sides is referred to as the multiplication property of equality

Answer:

Step-by-step explanation:

[tex] \frac{3}{4} (2 - 3x) \\ [/tex]

Multiply each term in paranthesis by 3/4

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

Multiply :

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

Hope this helps..

Good luck on your assignment..

━━━━━━━☆☆━━━━━━━

▹ Answer

2a + 3 - 6b

▹ Step-by-Step Explanation

5a + 7 - 8b - 3a + 2b - 4

Collect like terms

2a + 7 - 8b + 2b - 4

Final Answer

2a + 3 - 6b

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Option A. √(x + 1)

Step-by-step explanation:

Data obtained from the question include:

f(x) = √(x² – 1)

g(x) = √(x – 1)

(f/g) (x) =..?

(x² – 1) => difference of two square

(x² – 1) => (x – 1)(x + 1)

f(x) = √(x² – 1)

f(x) = √(x – 1)(x + 1)

(f/g) (x) = f(x) /g(x)

f(x) = √(x – 1)(x + 1)

g(x) = √(x – 1)

(f/g) (x) = √(x – 1)(x + 1) / √(x – 1)

(f/g) (x) = √[(x – 1)(x + 1) / (x – 1)]

(f/g) (x) = √(x + 1)

Answer:

234 meters squared

Step-by-step explanation:

Add 3m on either side of the 15 to get 21

2(21x3)=2(63)=126

2(18x3)=2(54)=108

126+108=234

Answer:

25

Step-by-step explanation:

The answer is 25. Here is a solution using the formulas:

For 3_1_1

(5C3*2C1*1C1)/2! = 10

For 2_2_1

(5C2*3C2*1C1)/2! = 15

10+15=25

Not 100% sure just double check

Answer:

216

Step-by-step explanation:

There are 6 possibilities for each bowl. (0-5)

6x6x6=216

Answer:

19900kk

Step-by-step explanation:

i need deez points fr doe

Step-by-step explanation:

convert the angle from radian to degree you will get 225°

To draw it draw first 180° then ad 45° to make it easy

Answer:

A(w) = w(1 + 3w) + pi(w/2)^2/2

Step-by-step explanation:

ASK YOUR QUESTION

lambobacon3244

07/24/2018

Mathematics

High School

+5 pts

Answered

A rectangular window is topped with a semicircle on top. the height of the rectangular part is 1 more than 3 times its width , w meters which function represents the total area?

A.) A(w) = w(1 + 3w) + pi(w/2)^2

B.) A(w) = w(1 + 3w) + pi(w/2)^2/2

C.) A(w) = w(1 + 3w) + pi(w)^2/2

D.) A(w) = w(1 + 3w) + pi(w)^2

1

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Answers

lambobacon3244 is waiting for your help.

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DeanR

DeanRGenius

In general for a rectangle of dimensions w by h and a semicircle of diameter w we get an area:

A = wh + \frac 1 2 \pi (\frac w 2)^2

The halfs are because a semicircle is half a circle and a radius is half a diameter.

We're told

h = 1+ 3w

Substituting,

A(w) = w(1+3w) + \frac 1 2 \pi (\frac w 2)^2

tats

Answer:

9:00am

Step-by-step explanation:

Bus A:

8:00, 8:15, 8:30, 8:45, 9:00, 9:15, 9:30, 9:45, 10:00, 10:15, 10:30, 10:45, 11:00

Bus B:

8:00, 8:20, 8:40, 9:00, 9:20, 9:40, 10:00, 10:20, 10:40, 11:00

Bus A and Bus B will both arrive at the bus stop at 9:00

Answer:

The answer is C.

Answer:

B. Tom wants to save $846, he already has $87, and he deposits $23 each month, M.

Step-by-step explanation:

$846 = $87 + $23M

The $846 represents the amount that he wants to save. $23M represents how much money he wants to deposit every M months. $87 represents the amount that he has already deposited (the constant).

And so, the correct answer will be B. Tom wants to save $846, he already has $87, and he deposits $23 each month, M.

Hope this helps!

Answer:

[tex]\frac{1}{36}[/tex] chance

Step-by-step explanation:

Each time you roll a die, you have a [tex]\frac{1}{6}[/tex] chance of rolling a 3. It's even rarer to roll two 3s in a row, and to find a consecutive probability, we have to multiply the two probabilities. In this case, both probabilities are [tex]\frac{1}{6}[/tex].

[tex]\frac{1}{6}\cdot\frac{1}{6}=\frac{1}{36}[/tex]

Hope this helped!

Answer:

The last one -

Green 50%

Purple 25%

Black 25%

Step-by-step explanation:

The circle is divided into 4 equal parts.

Green is 2/4 or 1/2 (50%)

Purple is 1/4 (25%)

Black is 1/4 (25%)

Answer:

the last option

112 containers.

14×8=112

112/1=112

Answer:

Step-by-step explanation:

[tex](-8, 5) and (2,-2)\\Midpoint = (\frac{x_1 +x_2}{2} , \frac{y_1+y_2}{2} )\\x_1 = -8\\y_1 =5\\x_2 =2\\y_2 = -2\\Midpoint = (\frac{-8+2}{2} , \frac{5 + (-2)}{2} )\\Midpoint = (\frac{-6}{2} , \frac{3}{2} )\\Midpoint = (-3 , 3/2 )[/tex]

Answer:

Step-by-step explanation:

(x₁ , y₁) = (-8 , 5)

(x₂ , y₂) = (2 , -2)

[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\=(\frac{-8+2}{2},\frac{5+(-2)}{2})\\\\=(\frac{-6}{2},\frac{3}{2})\\\\=(-3,\frac{3}{2})[/tex]

Answer:

5 cm

Step-by-step explanation:

Area of 3 cm circle

A = pi r^2 = pi *3^2 = 9pi

Area of 4 cm circle

A = pi r^2 = pi *4^2 = 16pi

The area of the new circle is 16pi+9pi = 25 pi

25 pi = pi r^2

Divide each side by pi

25 = r^2

Take the square root of each side

sqrt(25) = sqrt(r^2)

5 = r

The radius is 5

Answer:

Has exactly one pair of parallel sides.

Step-by-step explanation:

Has exactly one pair of parallel sides.

Answer:

The sum is 6

Step-by-step explanation:

Given

[tex]Vertices: (0,1), (3,4), (4,3), (3,0)[/tex]

[tex]Perimeter: a\sqrt{2} + b\sqrt{10}[/tex]

Required

[tex]a + b[/tex]

The first step is to name each points, as follows

[tex]A: (0,1)\\B: (3,4)\\C: (4,3)\\D: (3,0)[/tex]

Next is to calculate the distance between each consecutive point

We'll calculate the distance AB, BC, CD and DA

Distance between points is calculated as thus;

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

Calculating distance AB

[tex]A: (0,1)\\B: (3,4)[/tex]

Here,

[tex]x_1 = 0; x_2 = 3[/tex]

[tex]y_1 = 1; y_2 = 4[/tex]

[tex]AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}[/tex]

[tex]AB = \sqrt{(- 3)^2 + (-3)^2}[/tex]

[tex]AB = \sqrt{9+9}[/tex]

[tex]AB = \sqrt{18}[/tex]

Expand 18 as 9 * 2

[tex]AB = \sqrt{9 * 2}[/tex]

Split surds

[tex]AB = \sqrt{9} * \sqrt{2}[/tex]

Take square root of 9

[tex]AB = 3 * \sqrt{2}[/tex]

[tex]AB = 3 \sqrt{2}[/tex]

Calculating distance BC

[tex]B: (3,4)\\C: (4,3)[/tex]

Here,

[tex]x_1 = 3; x_2 = 4[/tex]

[tex]y_1 = 4; y_2 = 3[/tex]

[tex]BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}[/tex]

[tex]BC = \sqrt{(-1)^2 + (1)^2}[/tex]

[tex]BC = \sqrt{1 + 1}[/tex]

[tex]BC = \sqrt{2}[/tex]

Calculating distance CD

[tex]C: (4,3)\\D: (3,0)[/tex]

Here,

[tex]x_1 = 4; x_2 = 3[/tex]

[tex]y_1 = 3; y_2 = 0[/tex]

[tex]CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}[/tex]

[tex]CD = \sqrt{(1)^2 + (3 )^2}[/tex]

[tex]CD = \sqrt{1 + 9}[/tex]

[tex]CD = \sqrt{10}[/tex]

Calculating distance CD

[tex]D: (3,0)\\A: (0,1)[/tex]

Here,

[tex]x_1 = 3; x_2 = 0[/tex]

[tex]y_1 = 0; y_2 = 1[/tex]

[tex]DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}[/tex]

[tex]DA = \sqrt{(3)^2 + (- 1)^2}[/tex]

[tex]DA = \sqrt{9 + 1}[/tex]

[tex]DA = \sqrt{10}[/tex]

At this point, the perimeter can then be calculated

[tex]Perimeter = AB + BC + CD + DA[/tex]

[tex]Perimeter = 3 \sqrt{2} + \sqrt{2}\ + \sqrt{10} + \sqrt{10}[/tex]

[tex]Perimeter = 4 \sqrt{2} + 2\sqrt{10}[/tex]

From the given parameters;

[tex]Perimeter: a\sqrt{2} + b\sqrt{10}[/tex]

This implies that;

[tex]a\sqrt{2} + b\sqrt{10} = 4 \sqrt{2} + 2\sqrt{10}[/tex]

By comparison;

a = 4 and b = 2

Hence;

[tex]a + b = 4 + 2[/tex]

[tex]a +b = 6[/tex]

Answer:

b. y(3y - 4)

Step-by-step explanation:

[tex]3 {y}^{2} - 4y \\ = y(3y - 4)[/tex]