if u want u can answer question 14 and 15 but if u don’t just answer 14

The length side of equilateral triangle is 8.08 units

The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side.

Here, let the side of the equilateral triangle be x units

given altitude of the equilateral triangle = 7 units

we know,  

Altitude = √3/2 X side

   7 = √3/2 X x

   x = 7 X 2 / √3

   x = 14/√3

   x = 8.08 units

Thus, the length side of equilateral triangle is 8.08 units.

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Step-by-step explanation:

THREE SOLUTION TO PROVE ITS FALSE

1:2

Multiply by 3 on each side

1*3 : 2*3 = 3:6

This is not the same as 6:3

3 apple:6 bananas is not the same as 6 apples: 3 bananas

1:2 is equivalent to 6:12 not 6:3

because 1x6=6 2×6=12 =6:12

3)

however when we solve mathematically

1/2=6/3

1/2=2

The sides are not equa so its false

Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.

Answer:

c = 57 degrees.

Step-by-step explanation:

This is the Alternate Segment theorem:

The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.

So c = 57 degrees.

Answer:

The time spent by a physician with a patient

Step-by-step explanation:

Option C is the answer

The height of the given triangular prism.

[tex]h = \frac{V}{ A_{B}}[/tex]

[tex]h = \frac{310}{31} [/tex]

[tex]\large\boxed{\sf{h=10 \: units}}[/tex]

Therefore, the height of the given triangular prism is 10 units.

h= 310/31

h= 10 units

hope this helps

Answer:

D.94 square centimeters

Step-by-step explanation:

(10×4) + (8×6) + (1/2×6×2)

= 94 cm^2

Answer:

D. 94 square centimeters

Step-by-step explanation:

It mentions the composite figure is made up of three simpler shapes.

Area (figure) = Area (parallelogram) + Area (rectangle) + Area (triangle)

Answer:

I would say 6m because i measured the side that is labeled 6m, and DE is also 6m.

( I hope I'm right ^^)

( I hope this helps ^^)

Step-by-step explanation:

Formula:

[tex]v = \pi \:r {}^{2} \:h[/tex]

radius is 4.5 because 9÷2=4.5

so it would be

[tex]v = \pi \times \:4.5^{2} \times 7[/tex]

volume = 445.3 units³

Answer:

644 cm^2

Step-by-step explanation:

20*5*2 = 200

6*5*2 = 60

20*6 = 120

6*8 = 48

12*4*2 = 96

6*4*2 = 48

12*6 = 72

when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words

examples:- First

[tex]5 + ( - 2) = 5 - 2 = 3[/tex]

like here we put + in front of 3 as larger number 5 is positive

[tex] - 7 + 5 = - 2[/tex]

we put negative because 7 is larger then 5 and 7 is negative

35° + 60° + x° = 180°

95° + x° = 180°

x° = 180° - 95°

x° = 85°

In any triangle, the sum of its interior angles measures 180º.

Answer:

2 and a half pizzas were eaten

Step-by-step explanation:

3 pizzas divided into 8 slices is equal to 24 slices.  So if 20 slices were eaten, we can do simple math to solve this

There are two ways to do this:

A. divide 20 by 8 to get 2.5

B. subtract a pizza (8 slices) from 20 to get 12. Subtract another pizza (8 more slices) to get 4. The 4 slices left are equal to another half pizza. So in total, there were 2.5 pizzas eaten

Answer:

h = 14.4

Step-by-step explanation:

4h=57.6

Divide each side by 4

4h/4 = 57.6/4

h = 14.4

Answer:

See explanation

Step-by-step explanation:

Always divide the constant by itself and the value it equals.

1) Divide both sides by 4.

[tex]h=\frac{57.6}{4}[/tex]

2) Simplify [tex]\frac{57.6}{4}[/tex] to [tex]14.4[/tex].

h = 14.4

To check our answer,

4h = 57.6

1) Let h = 14.4

4 * 14.4 = 57.6

2) Simplify 4 × 14.4 to 57.6.

57.6 = 57.6

Answer:

a) 540° b) 108°

Step-by-step explanation:

Formula: (n-2)×180°

a) (5-2)×180°

3×180°=540°

b) 540°÷5=108°

n means nr of sides

Answer:

3 hours and 30 minutes

Step-by-step explanation:

8:15+3=11:15

11:15+30=11:45

Answer:

15 hr 30 min

Step-by-step explanation:

8:15 - 9 am = 45 min

9 am to 11 pm = 14 hours

11pm - 11:45 pm = 45 min

90 min = 1 hr 30 min

14 hr + 1 hr 30 min = 15 hr 30 min

The expansion of the series is 2 + 6 + 8 + 10

The summation expression is given as:

[tex]\sum\limits^4_{n=1} 2(n + 1)[/tex]

When n = 1, we have:

2(n + 1) = 2(1 + 1)  = 4

When n = 2, we have:

2(n + 1) = 2(2 + 1)  = 6

When n = 3, we have:

2(n + 1) = 2(3 + 1)  = 8

When n = 4, we have:

2(n + 1) = 2(4 + 1)  = 10

So, we have:

[tex]\sum\limits^4_{n=1} 2(n + 1) = 2 + 6 + 8 + 10[/tex]

Hence, the expansion of the series is 2 + 6 + 8 + 10

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Answer:

The correct option is actually d. 4 + 8 + 16 + 32

Step-by-step explanation:

Answer:

Answer:

105 feet

Step-by-step explanation:

Got it right

Answer:

105

Step-by-step explanation:

correct

Step-by-step explanation:

Susan message=34.66

Frank message=27.6

Dan message=28

Answer:

0.0833

Step-by-step explanation:

1 out of 12 can be written as a fraction 1/12

Now we convert the fraction to a decimal with division. Using long division the 12 goes outside the division symbol and 1 on the side. 12 doesn't go into 1 so we add a decimal to the answer and a 0 after the 1. 12 doesn't go into 10 so we add another 0. 12 goes into 100 8 times. 8 goes on top after 0.08 and then we finish the long division. We would have 4 remaining. Add another 0. 12 goes into 40 3 times. This is then where the division becomes repetitive. With more threes. Depending on where youryou're supposed to Round to the answer is 0.0833

Answer:

Step-by-step explanation:

the scientific notation is just another mumble jumble way to write the same thing without so many repetitive zeros, so hmmm 780000 has 4 zeros, so what we do is we can say

78 and 4 zeros following it

or we can say

78 * 10⁴, if we get that product, is 780000

in scientific notation, we only leave one digit to the left of the decimal point

so the same thing above can be written as

78 * 10000, can be written as 78.0 * 10000

or as

7.8 * 100000

or as

0.78 * 1000000

check their product

7.8 * 100000, is really just 780000

because we moved the decimal to the left one more slot, it

became 7.8 * 100000

or in

Answer:

780,000 [tex]=7.8 * 10^5[/tex]

Step-by-step explanation:

Don't worry! I hope you do great on your finals, goodluck<3.

[tex]a * 10^{b}[/tex]

Variable A represents a number thats absolute value has to be greater than or equal to 1 and less than 10. This is represented below

1 ≤ | a | < 10

Therefore we know that 780,000 will be 7.8, because it is greater than 1 and less than 10 as well can still represent our original number.

[tex]7.8 * 10^b[/tex]

Assuming you know how powers work, if not I'll go over them very quickly.

For example 8² = 8 * 8, 8³ = 8 * 8 * 8.

what I mean by this is if its in, tenths, hundreths, thousands, 10 thousands..

It's pretty obvious that our number is in the 100 thousands place.

Now if you know you're powers pretty well, this will be easy, although let me try to walk you through it if not.

remember the equation:

[tex]7.8 * 10^b[/tex]

We are trying to find b.

10 to what power is equal to 100,000

[tex]10^{1} = 10, 10^{2} = 100, 10^3 = 100, 10^{3} = 1,000, 10^4 = 10,000, 10^5 = 100,000[/tex]

How I like to remember what a power equals is counting the 0's :)

How we know if our answer is correct is plugging it into our equation and solve:

[tex]7.8 * 10^5[/tex]

We know that 10 to the power of 5 equals 100,000.

[tex]7.8 * 100,000[/tex]

and using a calculator, or mental math, or doing it the old fashion way, we know that 7.8 * 100,000 is equal to 780,000

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

(h, k) = center of the circle

r = radius of the circle

Center = (2, 0)

Radius = 7

Equation: (x - 2)^2 + (y - 0)^2 = 49

Answer: (x - 2)^2 + y^2 = 49

Hope this helps!

1/2b+2≤8

1/2b≤6

b≤12

Any number less than or equal to 12 can solve the equation.

Answer

[tex]b\leq 12[/tex]

Step-by-step explanation

You would subtract two from the eight and that would get you six, and the reciprocal of 1/2 is two so technically you would multiply the 6 by two and that gets you 12.

Hope this helps any!

The expected value of N will be given as:- Money =  N² -  5.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given in the question that:-

So from the given information, the expression will be:-

N be a random variable that corresponds to your net winnings in dollars.

Money =  N² -  5.

From the above equation, we can calculate the amount earned by the spinner number that comes.

Therefore the expected value of N will be given as:- Money =  N² -  5.

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Answer:

Price of senior citizen ticket = $7

Price of student ticket = $5

Step-by-step explanation:

Let:

Equations formed :

Subtract : Equation 1 - Equation 2

Finding b

Solution

Answer:

Senior tickets would be 7 dollars

and

Student ticket prices would be 5 dollars

Step-by-step explanation: