What is the height of a triangle with an area of 32 cm2
and a base of 8 cm?

Answer:

Step-by-step explanation:

To find the distance between those two points you would need to

do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.

Answer:

14 = AB

Step-by-step explanation:

When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers

or you can set up the expression---

| -6-8 |

which equals

| -14 |

or

14

because 14 is the same as | -14 |

Answer:

Below.

Step-by-step explanation:

I'll  write sin x as s and cos x as c so we have:

(1 + s +c)/(1 + s - c) = (1 + c)/s

Cross multiplying:

s + s^2 + cs  = 1 + s - c + c + cs - c^2

s  + s^2 + cs = 1 + s + cs - c^2

s^2 + c^2 + s - s + cs - cs = 1

s^2 + c^2 = 1.

- that is sin^2 x + cos^2 x = 1 which is a known identity.

Therefore the original identity is proved.

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

Answer:

25

Step-by-step explanation:

The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.

Answer:

Step-by-step explanation:

There's a small trick here. You have to double the thickness. Why? Because the outside diameter goes through the thickness twice.

Inside diameter = outside diameter - 2 * thickness

outside diameter = 1 1/4 inches

thickness = 5/16

Inside diameter = 1 1/4 - 2 * 5/16

inside diameter = 5/4 - 10/16

Inside diameter = 5/4 - 5/8

Inside diameter = 10/8 - 5/8

Inside diameter = 5/8

Answer:

DO NOT CHEAT

Step-by-step explanation:

IT'S HARAM >:(

Answer:

assuming that this is just an algebra problem and not some graphing

problem that you are trying to fin the slope vale m in y-mx+b

-m/3 = -4

-m = -4*3

-m = -12

m=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

a²+b²-c²+2ab

=a²+b²+2ab-c²

=(a+b)²-c²

=(a+b+c)(a+b-c)

Answer:

4

Step-by-step explanation:

Answer:

1= 1 7/8 or 1.875

2= 235.75

3= 10 1/2 or 10.5

4=191.53

5=1 5/12 or 1.4166667

6=239.13

hope this helps

Answer:

1.

[tex] \frac{9}{4} [/tex]

2. 235.75

3.

[tex] \frac{21}{2} [/tex]

4. 191.53

5.

[tex] \frac{17}{12} [/tex]

6. 239.13

Step-by-step explanation:

1.

[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]

2. 168.45 + 67.3 = 235.75

3.

[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]

4. 249.6 - 58.07 = 191.53

5.

[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]

6. 334.16 - 95.03 = 239.13

Answer:

The dad is 36 and the son is 12

Answer:

Step-by-step explanation:

Let the other end point be (a,b)

Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)

So

(0,-1) = ( (-1+a)/2 , (0+b)/2)

So we have

0 = (-1 +a) /2

0 = -1 + a

a =1

and

-1 = (0+b)/2

-2 = 0+b

b = -2

So the other end point is ( 1, -2)

Step-by-step explanation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √[(-a) - a]² + (b - b)²

Distance = √[-2a]² + (0)²

Distance = √4a²

Distance = 2a

Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

Answer:

A is the answer

rrrrrrrr

Answer:

9.6 square inches.

Step-by-step explanation:

We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.

First, find the scale factor k from ΔBAC to ΔDEF:

[tex]\displaystyle 5 k = 4[/tex]

Solve for the scale factor k:

[tex]\displaystyle k = \frac{4}{5}[/tex]

Recall that to scale areas, we square the scale factor.

In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.

Hence, the area of ΔEDF is:

[tex]\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2[/tex]

In conclusion, the area of ΔEDF is 9.6 square inches.

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °

Answer:

1 3/4 lbs of skittles

Step-by-step explanation:

Easy way: 3lbs - 1 1/4lbs = 1 3/4lbs

Complex way:

(I'm assuming "1/1/4" means "1 1/4")

This is simply ~Subtraction~

The total is 3lbs(t) and 1 1/4 of that 3lbs is gummy worms(g). What is left of the 3lbs is skittles(s).

So we need to know what added to 1 1/4 equals 3.

Equation: t= 1 1/4 + s

Equation: t= 1 1/4 + s

We can replace (t) with 3 because we know this variable.

1. 3= 1 1/4 + s

To isolate the variable (s) we need to subtract 1 1/4 on both sides of the equation

2. 3(- 1 1/4)= 1 1/4(- 1 1/4) + s

The right side cancels out = 0 and the left = 1 3/4

3. 1 3/4= s

Flip it around for the traditional view

4. s = 1 3/4

In word form: Skittles equal 1 3/4 (don't forget to add lbs or pounds back into the final answer)

[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]

9514 1404 393

Answer:

  15 ft below the top of the water

Step-by-step explanation:

We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:

  -12 +(-3) = -15

The depth of Jesse's hook now is 15 feet below the water surface.

Answer:

I guess it would help you

Answer:

A square root

Step-by-step explanation:

A square root is one of two equal factors of a number.

First, let's declare our variables

B = x+2

A = 3(x+2)

Now, let's create our expression.

A + B = 128

Plug in the values for A and B

x+2 + 3(x+2) = 128

We need to solve for x. Start off by simplifying the left side.

x+2 + 3x + 6 = 128

Combine like terms.

4x + 8 = 128

Subtract 8 from both sides.

4x = 120

Divide both sides by 4

x = 30

B = x+2 = 30 + 2 = 32 degrees

A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]

[tex] \large \sf \: x+28=-8 [/tex]

[tex] \large \sf \: x=-8-28 [/tex]

[tex] \large \boxed{ \bf \: x=-36 }[/tex]