Find the surface area of the following triangular pyrarnid using the net.
Each triangle is congruent, with a base of 7 ftand a height of 6ft.

Answer:

m∠G = 31.83°

Step-by-step explanation:

From the triangle FGH,

FH = 6 ft

FG = 11 ft

And measure of the included angle ∠F = 73°

We have to find the measure of ∠G.

By applying law of cosine in the triangle to get the measure of third side GH first,

GH² = FH² + FG² - 2(FH)(FG)cos(∠F)

GH² = 6² + 11² - 2(6)(11)cos(73°)

GH² = 36 + 121 - 38.593

GH = √118.407

GH = 10.88 ft

Now apply sine rule in the given triangle to get the measure of ∠G.

[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]

[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]

sin(G) = 0.527374

G = [tex]\text{sin}^{-1}(0.527374)[/tex]

m∠G = 31.83°

Answer:

2. 8/10 is bigger

3. 7/8 is bigger

4. 1/2 is bigger

5. 8.12 is bigger

6. 4/6 is bigger

7. 7/12 is bigger

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The probability that a man buys the winning ticket is 107/200

Step-by-step explanation:

78 men buy tickets, 93 women buy tickets. If the rest of the tickets are given to men, there are 200-93-78, or 29 tickets left, which go to men. 78 + 29 = 107 men who have tickets.

The probability that a man buys the winning ticket is

number of men with tickets / number of tickets, or

107 / 200.

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

sorry if I knew I would have told you but follow me

Answer: 85

Step-by-step explanation:

360degree for quad

thus

95+85+95 = 275

360-275 = 85

Answer:

S=85°

Step-by-step explanation:

95+85+95= 275

(a square is equaled to 360 degrees so you do this)

360°-275°= 85°

(Take away what the shape/angle is equal to from your findings in your first step) .

If there are already 3 fish in the aquarium. Then the number of fish in the aquarium should be less than 2.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

There must be fewer than 5 fish in the small aquarium. There are already 3 fish in the aquarium. Then the inequality equation will be

Let the number of fish in the aquarium be x. Then the inequality equation will be

x < 5

But there are already 3 fish in the aquarium, then we have

x - 3 < 2

Then the number of fish in the aquarium should be less than 2.

More about the inequality link is given below.

https://brainly.com/question/19491153

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that  the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0:  μL > μs      against the claim Ha:  μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to  the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/  √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58)  ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

Answer:

v1 t = distance Bob travels  

v2 t + 20 = distance opponent travels

v1 t  = v2 t + 20

t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec

In 10 sec Bob runs 80 m

In 10 sec opponent runs 20 + 60 m = 80 m

Answer:

Answer: x=65

Step-by-step explanation:

Since they're vertical angles both sides are equal to 145 degrees

So, 145-15= 130 to get rid of the constant

Then, 130/2=65

To check you work add up all of your solutions to get 145

2*65=130 & 130+15=145

Therefore, x=65

Answer:

d = √85

Step-by-step explanation:

Here use the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Substitute the values.}\\d = \sqrt{(0-(-6))^2+(0-(-7))^2}\\\text{Subtract by negative, which is adding.}\\d=\sqrt{(6)^2+(7)^2}\\\text{Apply the powers of 2.}\\d=\sqrt{36+49}\\\text{Add.}\\d=\sqrt{85}[/tex]

Answer:

Width is 3

Step-by-step explanation:

_____________

/ / |

/ ______________/ |

2.5| | |

f | | |

e | | |

e | | |

t | | |

| | /

| | /

|______________|/ 3 feet

4 feet

Answer:

Hello There!!

Step-by-step explanation:

The answer is 52.

hope this helps,have a great day!!

~Pinky~

Answer:

820

Step-by-step explanation:

Find the number in the ten place 2 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to

5 and round down if it is less than 5.

Answer:

k  = 54

Step-by-step explanation:

6 = [tex]\frac{k}{9}[/tex]

multiply both sides by 9 to isolate k

=> k  = 54

Answer:

k = 54

Step-by-step explanation:

[tex]6 = \frac{k}{9}[/tex]

Multiply both sides by 9:

9(6) = k

k = 54

Answer:

B: The Distribution has a peak at 22 degrees celsius

Step-by-step explanation:

We are given a photo of a point plot, including with several descriptions and are asked to find which accurately describes the picture.

Let's take a look at our options,

A: The Distribution has an Outlier

This would be incorrect, an outlier is a point on any graph that doesn't really fit in well with all the other points, say there is a straight line with a bunch of dots surrounding it, then there is one dot that is far away from the rest, that is an outlier. Looking at the point plot, we see that all the dots fit in well together and no dots are really separated, therefore making this incorrect.

B: The Distribution has a peak at 22 degrees celsius

This would be correct, when referring to peak, the peak is supposed to represent the highest point or value a certain number/amount has. If we look at the point plot, we can see that there are the most dots at 22 than any other temperature. Therefore making it the peak, and making B correct.

C: None of the Above

This is obviously incorrect, B is a correct answer.

Answer:

It should be C

Step-by-step explanation:

I hope this helps!

Cross multiply:

4 x 6 = 9x

24 = 9x

Divide both sides by 9

X = 24/9

X = 2.7 ( rounded to the nearest tenth)

Answer:

126 [tex]m^{2}[/tex]

Step-by-step explanation:

Answer:

1/64

Step-by-step explanation:

probability of getting one question correct is 1/4

P(3 questions correct):  1/4 · 1/4 · 1/4

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+8²=12²

80≠144 not a right angled triangle

again

2²+√5²=3²

9=9/

side are a right angled triangle

again

2²+2²=(√8)²

4+4=8

8=8

side are a right angled triangle

Answer:

[tex]2,\sqrt{5},3[/tex] and [tex]2,2,\sqrt{8}[/tex]

Step-by-step explanation:

Step-by-step explanation:

If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,

f(f-1(x)) = x

So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then

f(K) = x

K/4 = x

K = 4x

But I want to recover f-1(x), so replace it back.

f-1(x) = 4x

Done

Answer:

1680

Step-by-step explanation:

480x3=1440

480/2=240

1440+240=1680

Answer:

1. (a) a+b=86

2. (c) 5.99a+9.99b≤600

Step-by-step explanation:

1.

a = amount of 16gb memory sticks

b = amount of 21gb memory sticks

Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:

a+b=86

2.

a = amount of 16gb memory sticks

b = amount of 21gb memory sticks

Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...

5.99a = total cost of 16gb memory sticks

9.99b = total cost of 32gb memory sticks

Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:

5.99a+9.99b≤600

Answer:

the second and last one

....................

Answer

1 and 0.89

Step-by-step explanation:

idrk tho

Answer:

1/5

Step-by-step explanation:

First you need to find the total amount of marbles

5+8+6+11= 30

There are 6 orange marbles

So the probability is 6/30 which reduces to 1/5