The area of a triangle is 30 square feet. If
the base is 4 feet, then what is the height?

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

17) -4y + 16 = 6x

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

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

~

18) 0 = -12y -36 + 15x

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

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

~

19) 3x = -6y

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

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

~

20) -2x -5 = -5y

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

Divide -5 from both sides of the equation:

(-2x - 5)/-5 = (-5y)/-5

y = (-2x - 5)/-5

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

Answer:

4.2=420/100

4.2-4.2=0

7/20=x/100

x=5×7=35

Answer:

2.4x+30

Step-by-step explanation:

(6*0.4x)+(6*5)

2.4x+30

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

Answer: 1.5 : 6 = 1 : 4

Step-by-step explanation: Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

1.5 : 6 = 15 : 60

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 15 and 60 is 15

Divide both terms by the GCF, 15:

15 ÷ 15 = 1

60 ÷ 15 = 4

The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :

15 : 60 = 1 : 4

Therefore:

1.5 : 6 = 1 : 4

Answer:

(1,2); (4,4); (1,4)

Step-by-step explanation:

Just reflect it directly across the y axis starting at x=1.

Answer:

20. bcg

21. 124

Step-by-step explanation:

Answer:

(a) x=45°

(b) If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.

Step-by-step explanation:

(a)

Angles in a quadrilateral add to 360:

<A+<B+<C+<D=360

2x+90+x+3x=360

6x=270

x=45°

(b)

If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.

Answer:  Step-by-step explanation:

3x+2x+x=360-90

6x=270

x=45

∠DAB=2x=90° and ∠ABC=90° ⇒ AD║BC

Answer:

The answer is 3 feet.

Step-by-step explanation:

First, the height is 7 right. Then take away 1 foot since is said 1 foot more than twice the width. Then divide by 2 meaning twice. Meaning 7-1=6 6/2=3. There you go! Hope these formulas helped!

Answer:

3 feet

Step-by-step explanation:

To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:

2w + 1, and this is equal to the height, so

2w + 1 = h

Now, we are given the height is 7. We substitute 7 where the height, h, is.

2w + 1 = 7

We can subtract 1 from both sides and divide by 2 to isolate x:

2w + 1 = 7

      -1     -1

2w = 6

w = 3 - the width is 3 feet

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

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

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Find out more information about probability here

https://brainly.com/question/11234923

#SPJ2

Answer: B.

Step-by-step explanation: took the quiz.

Answer:

23^(a+b)

Step-by-step explanation:

23^a x 23^b =23^(a+b)

Answer:

0.72%

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

THE LAST THREE ARE THE ANSWERS

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Find the number in the tenth place  

2

and look one place to the right for the rounding digit  

4

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

Answer:

9

Step-by-step explanation:

At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.

We can figure this out by using the slope formula.

[tex](y^2-y^1)/(x^2-x^1)[/tex]

We plug in values to get:

[tex](28-10)/(2-0)[/tex]

18 / 2

9

[tex]2 \frac{1}{7} [/tex]

is the answer

Answer:

answer: 2 1/7

Hope this helps

Answer:

cost per tennis ball

Step-by-step explanation:

Answer:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Answer:

the answer is 12.8

Step-by-step explanation:

Answer:

14 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

3*4 [tex]\frac{4}{5}[/tex]

4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]

[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]

[tex]\frac{72}{5}[/tex] to a mixed number

[tex]\frac{72}{5}[/tex]= 14.4 =14

72-(5*14)=2

14 [tex]\frac{2}{5}[/tex]

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

Answer:

1. c

2. b

3. a

4. d

5. e

6. f

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

-5 is 17 points away from 12.

Answer:

B. or the second one

Step-by-step explanation:

Answer:

Interest=PTR/100

110 =P×1×22/100

11000=22P

P=500

1. y = 4 * 2^x

2. y = 2(1/2)^x

I hope this helps you, have a good day!

Answer:

10.3

Step-by-step explanation:

(7 + 8 + 10 + 10 + 12 + 15) / 6 = 10.333