The roof of a clock tower is a pentagonal pyramid. Each side of the base is 7 ft long. The slant height is 9 ft. What is the area of the roof?

Answers

Answer 1

Answer:

Area = 63ft

Step-by-step explanation:

7*9=63

multiply the base and height

Answer 2

157.5 square feet is the area of the roof.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that the roof of a clock tower is a pentagonal pyramid.

a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point

Each side of the base is 7 ft long.

The slant height is 9 ft.

We need to find the  area of the roof.

Area=1/2×7×9×5

=315/2

=157.5

Hence, 157.5 square feet is the area of the roof.

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Related Questions

To play a board game, a player spins the pointer of a spinner with four equal sections numbered 1–4, and then flips a fair coin. Use a tree diagram to represent the sample space. What is the probability of spinning either a 3 or a 4 AND flipping a head?

Answers

Answer:

2/8

Step-by-step explanation:

there is the 4 sections of a spinner and 2 sides on the coin when you lay it out that leaves 2 opportunities to spin a 3 or a 4 and flipping heads

Please someone help me with this

Answers

Tan (37)= x/1000
0.75355=x/1000
X=753.55

Answer is C

Answer:
Option c

Step-by-step explanation:

Since tangent = op/adj, in this case the tan37 would be x/1000.

Then, set it up as an algebra problem.

tan37 = x/1000

Multiply both sides by 1000, so 1000tan37=x

that simplifies to x = 753.6

10 + (2 x 3)2 ÷ 4 × 1 over 2 to the power of 3

Answers

Answer:

1.4375

Step-by-step explanation:

[tex]\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\[/tex]

[tex]\frac{10 + (6)^{2} /4}{8} \\[/tex]

[tex]\frac{10 + 36 / 4}{8} \\[/tex]

[tex]\frac{46 /4}{8} \\[/tex] = [tex]\frac{11.5}{8} \\[/tex]

A caterer charges the same price for each wrap orderd.each bottle of water is also the same price. The cost of buying 50 wraps and 60 water bottles is $445. The cost of buying 60 wraps and 40 water bottles is $470 what is the price?

Answers

Answer:it’s in the explanation

Step-by-step explanation:

a. Each wrap costs $2.00, and each bottle of water costs $6.50.
b. Each wrap costs $4.70, and each bottle of water costs $4.70.
c.Each wrap costs $5.30, and each bottle of water costs $3.00.
d. Each wrap costs $6.50, and each bottle of water costs $2.00.

Answer:

The wraps are $6.50 and the water bottles are $2

Step-by-step explanation:

[100 POINTS] Find the values of x, y, and z.

Answers

X-20
Y-90
Z-90


Hope this help I’m not sure if I’m right but hopefully

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

x and y are values that represent the angle made by respective arcs on centre of the circle

that is :

x = 20°

Here, Angle x + Angle z = 180°

[ because they form linear pair ]

z + x = 180

z = 180 - x

z = 180 - 20

z = 160°

Now, we can observe that angle made by Arc Y is equal to :

y = z + x = 160° + 20° = 180°

help me please, i need an answer asap

Answers

Answer:

answer is A - library books by genre and by Adult or Child

Step-by-step explanation:

your column on the left will have different genre of books

your top column will have children or adults

4. At which point does the function y = -x² + 6x - 5 reach its maximum value?

Answers

Answer:

(3,4)

Step-by-step explanation:

Hello!

To find the maximum value, we can find the vertex of the graph.

Since the coefficient of x² is negative, the graph opens downwards, meaning that the vertex would be the highest point.

To solve for the vertex, we can convert it to vertex form.

Converty = -x² + 6x - 5y = -1(x² - 6x) - 5y = -1(x² - 6x + 9) - 5 + 9y = -1(x - 3)² + 4

The vertex is (3,4)

A telephone company charges a $0.25
connection fee, then $0.10 per minute for
long distance calls. Which statement is
true regarding this situation?

Answers

The value of a dependent variable is dependent on the value of an independent variable. The correct option is C.

What are independent and dependent variables?

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.The variables who take their values based on some other variables' values are called dependent variables.

The complete question is:

A telephone company charges a $0.25 connection fee, then $0.10 per minute for long distance calls. Which statement is true regarding this situation?

A. The rate of change is $0.25 and minutes are the independent variable.

B. The rate of change is $0.25 and minutes are the dependent variable.

C. The rate of change is $0.10 per minute and minutes are the independent variable

D. The rate of change is $0.10 per minute and minute are the dependent variable.

The cost of making a call is the sum of the cost of connection fee which is one time fee and cost $0.25, and the cost charged for a minute which depends on the number of minute for which the call is been established. Therefore, the total cost can be written for a x minute call is,

Total Cost = $0.25 + $0.10(x)

Since the total cost is dependent on x, therefore, x which is the minute is the independent variable. The rate of change is $0.10 per minute and minutes are the independent variable.

Hence, the correct option is C.

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When Vince does 14 push-ups and 12 sit-ups, it takes a total of 52 seconds. In comparison, he needs 48 seconds to do 12 push-ups and 12 sit-ups. How long does it take Vince to do each kind of exercise?

Answers

Answer:

it takes 2 seconds to do one situp

it takes 2 seconds to do one pushup

to do 14 pushups, it takes 28 seconds.

to do 12 situps it takes 24 seconds

to do 12 pushups, it takes 24 seconds

BRAINLIEST PLEASE!

hope this helps :)

Step-by-step explanation:

14x + 12y = 52

12x + 12y = 48

^^^ this is an inequality that we can make.  

x stands for pushups

y stands for situps

if we subtract the second equation from the first, we get

2x = 4

x = 2

now we can place x in one of the equations to solve for y

12(2)+12y=48

24 + 12y = 48

12y = 24

y = 2

30,098 in standard form
30,098 to four significant figures​

Answers

Standard form = 3.0098 × 10 power 4
Significant figures = 30100

In ΔOPQ, o = 500 cm, p = 600 cm and q=380 cm. Find the measure of ∠P to the nearest 10th of a degree.

Answers

The measure of ∠P to the nearest 10th of a degree is 84.8°

Law of Cosines

From the question, we are to determine the measure of ∠P

From the law of cosines, we can write that

[tex]cos \ P=\frac{o^{2}+q^{2}-p^{2} }{2oq}[/tex]

From the given information,

o = 500 cm

p = 600 cm

q = 380 cm

Putting the parameters into the formula, we get

[tex]cos \ P=\frac{500^{2}+380^{2}-600^{2} }{2\times 500 \times 380}[/tex]

[tex]cos \ P =\frac{34400}{380000}[/tex]

[tex]cos \ P =0.0905[/tex]

P = cos⁻¹(0.0905)

P = 84.8076

P ≅ 84.8°

Hence, the measure of ∠P to the nearest 10th of a degree is 84.8°

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11-8(12+6)÷6²

pls answer right :)

Answers

Answer: The answer is 7

I did the math

Answer:

7

Step-by-step explanation:

11 - 8(12 + 6) / 6²

Rearrange using the order of operations.

11 - ((8 * (12 + 6)) / (6²))

((8 * (12 + 6)) = 144

(6²) = 36

(6²) / 144 = 4

(11 - 4)

= 7

If f(x)=2(3x-5) when f(x) =74,what is the value of x??

Answers

Answer:

x = 14

Step-by-step explanation:

given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives

2(3x - 5) = 74 ( divide both sides by 2 )

3x - 5 = 37 ( add 5 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

The answer is 14
Hopefully this helps

nth term of this quadratic sequence -1,2,7,14,23

Answers

Since we know it's quadratic, the n-th term will follow the pattern

[tex]x_n = an^2 + bn + c[/tex]

for some unknown coefficients a, b, and c.

Given that [tex]x_1=-1[/tex], [tex]x_2=2[/tex], and [tex]x_3=7[/tex], we have the following conditions on these coefficients:

[tex]\begin{cases} a + b + c = -1 \\ 4a + 2b + c = 2 \\ 9a + 3b + c = 7 \end{cases}[/tex]

Solve this system to get a = 1, b = 0, and c = -2. Then

[tex]\boxed{x_n = n^2 - 2}[/tex]

To solve the system, use elimination.

[tex](4a + 2b + c) - (a + b + c) = 2 - (-1) \implies 3a + b = 3[/tex]

[tex](9a + 3b + c) - (a + b + c) = 7 - (-1) \implies 8a + 2b = 8 \implies 4a + b = 4[/tex]

[tex](4a + b) - (3a + b) = 4 - 3 \implies a = 1 \implies b = 0 \implies c = -2[/tex]

What is the time in 24 hour clock for 03:50 pm?
a.0350 hrs
b.1350 hrs
c.1550 hrs
d.1650 hrs​

Answers

Answer:

Option C

Step-by-step explanation:

Any evening time on a 24 hour clock will be that hour add 12 :

3:50 pm =

3:50 + 12:00 = 15:50

Option C must be the answer

Hope this helped and brainliest please

Answer:

c.1550 hrs

Step-by-step explanation:

It Is military time to it stays going for 12:00 to 13:00 14:00 15:00 and so on

Hope This Helped


Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach her
destination. On the return journey home, she travels a total of 5 hours.
Determine the speed of the car that Astrid will travel to get home.

Answers

Answer:

[tex]\huge\boxed{\sf Speed = 77\ km/hr}[/tex]

Step-by-step explanation:

Formula to be used in the question:Speed = Distance / TimeDistance for the first 2 hours:

= 130 km

Distance for the next 3 hours:

Speed = 85 km/h

Time = 3 hours

So,

Distance = Speed × Time

Distance = 85 × 3

Distance = 255 km

So,

Total distance from home to destination:

= 130 + 255

= 385 km

Speed on the return journey:

Total distance = 385 km

Time = 5 hours

Speed = Distance / Time

Speed = 385 / 5

Speed = 77 km/hr

[tex]\rule[225]{225}{2}[/tex]

A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from one day to the next. a family plans a four-day trip to this ski resort in january. let x represent the number of days it snows while the family is there. what are the mean and standard deviation of x? mu subscript x baseline = 1, sigma subscript x baseline = 1 mu subscript x baseline = 2, sigma subscript x baseline = 0.56 mu subscript x baseline = 3, sigma subscript x baseline = 0.75 mu subscript x baseline = 3, sigma subscript x baseline = 0.87

Answers

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

[tex]\mu = 3, \sigma = 0.87[/tex]

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

E(X) = np = 4 x 0.75 = 3.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87[/tex]

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A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.

What is the length of the bedroom in the scale drawing?

Drag and drop a number to correctly complete the statement.

Answers

Given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.

What is the length of the bedroom in the scale drawing?

Scale factor is simply a measure for similar figures, who look the same but have different scales or measures.

To get new dimension;

New dimension = scale factor × current dimension

Given that;

Current length of the bedroom = 9ftCurrent width of the bedroom = 11ftScale factor = 112New length of the bedroom = ?

New dimension = scale factor × current dimension

New length of the bedroom = 112 × 9ft

New length of the bedroom = 1008ft

Therefore, given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.

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Can anyone help me solve this?

Answers

Answer:9

Step-by-step explanation:

Use the pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]

We know both a and c, so it becomes

[tex]4^{2}+b^{2}=\sqrt{97}^{2}[/tex]=

16+b^2=97=

97-16=b^2=

81=b^2=

9=b

What is the base in the expression 4^5

4

5

9

20
PLS ANSWER FAST !!

Answers

Answer:

The answer is 4

Step-by-step explanation:

The base of 4^5 is 4. The exponent is 5 and 9 & 20 do not work as we are not multiplying 4 and 5 to get 20.

helppppppppppppppppp pleaseeeeeeeeeeee​

Answers

Greater than 6 it’s labeled as 1 through 6 a fair dice has a probability of 16

Which equation has the solution x=4?

Answers

Answer: Option C is correct.

Part A

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

Part B

⇒ x/2 = 8

⇒ x = 8(2)

⇒ x = 16

Part C

⇒ x + 8 = 3x

⇒ 3x - x = 8

⇒ 2x = 8

x = 4

Part D

⇒ x = (x + 5)/2

⇒ 2x = x + 5

⇒ 2x - x = 5

⇒ x = 5

I believe the answer is C

What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x

Answers

The equation of the graphed function is given as follows:

g(x) = (1/7)^x - 4.

What is a translation?

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.

The parent function for this problem is given as follows:

f(x) = (1/7)^x.

(which has an asymptote at y = 0).

The function was shifted down 4 units, meaning that the translated function is given as follows:

g(x) = (1/7)^x - 4.

And the correct option is given by the first option.

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PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!

If sinθ=1/3, what are the values of cosθ and tanθ?

Answers

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

[tex]\cos{\theta} = \pm \frac{2\sqrt{2}}{3}[/tex][tex]\tan{\theta} = \pm \frac{\sqrt{2}}{4}[/tex]

What is the trigonometric identity using in this problem?

The identity that relates the sine squared and the cosine squared of the angle, as follows:

[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]

In this problem, we have that the sine is given by:

[tex]\sin{\theta} = \frac{1}{3}[/tex]

Hence, applying the identity, the cosine is given as follows:

[tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex]

[tex]\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2[/tex]

[tex]\cos^2{\theta} = 1 - \frac{1}{9}[/tex]

[tex]\cos^2{\theta} = \frac{8}{9}[/tex]

[tex]\cos{\theta} = \pm \sqrt{\frac{8}{9}}[/tex]

[tex]\cos{\theta} = \pm \frac{2\sqrt{2}}{3}[/tex]

The tangent is given by the sine divided by the cosine, hence:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}[/tex]

[tex]\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}[/tex]

[tex]\tan{\theta} = \pm \frac{\sqrt{2}}{4}[/tex]

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Please solve (30 points)

Answers

A real life example of an acute angle is the angle that's made in letter V.

What is a acute angle?

It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.

In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.

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Indigo needs to order some new supplies for the restaurant where she works. The restaurant needs at least 430 knives. There are currently 269 knives. If each set on sale contains 18 knives, what is the minimum number of sets of knives Indigo should buy? (Help please)

Answers

Inequalities help us to compare two unequal expressions. The minimum number of sets of knives Indigo should buy is 8.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the number of sets of knives indigo should buy be represented by x.

Given Indigo needs to order some new supplies for the restaurant where she works and the restaurant needs at least 430 knives. Also, There are currently 269 knives. Now, If each set on sale contains 18 knives the inequality that can represent the minimum number of sets of knives Indigo should buy is,

269+18x≥430

18x≥430-289

18x≥141

x≥7.833

x≥8

Hence, the minimum number of sets of knives Indigo should buy is 8.

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Tanya and tim clean the house in 3 hours their 3 children at the same 6 hours
how long would it take to clean the whole house if they did it together?

Answers

It will take them exactly 4hours 48 minutes.

what is rate?

Rate is a measure of a given quantity against a known or standard quantity.

Analysis:

If Tanya and Tim cleaned the house in 3 hours. Then either of them would clean the house in 2 x 3 = 6 hours.

If their 3 children cleaned the house in 6 hours, then each child would clean the house in = 3 x 6 = 18 hours

Total time for cleaning the house = 18 hours + 6 hours = 24 hours

If the five people were to do it at once then time taken to clean the house = 24/5 = 4.8 hours = 4 hours 48 minutes

In conclusion, the time for 5 people to clean the house is 4 hours 48 minutes

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im wondering what is 4.3 x 2.9

Answers

Answer:

[tex]\frac{1247}{100}[/tex], or 12.47

Step-by-step explanation:

I looked this up on my scientific calculator. I hope this helps! :)

The table below shows some inputs and outputs of the invertible function fff with domain all real numbers.
xxx 141414 -6−6minus, 6 -1−1minus, 1 101010 -10−10minus, 10 333
f(x)f(x)f, left parenthesis, x, right parenthesis 777 -10−10minus, 10 -15−15minus, 15 141414 -4−4minus, 4 -9−9minus, 9
Find the following values:
f^{-1}(f^{-1}(7))=f
−1
(f
−1
(7))=f, start superscript, minus, 1, end superscript, left parenthesis, f, start superscript, minus, 1, end superscript, left parenthesis, 7, right parenthesis, right parenthesis, equals
7
f^{-1}(-4)=f
−1
(−4)=f, start superscript, minus, 1, end superscript, left parenthesis, minus, 4, right parenthesis, equals
(thats for the people who copied and pasted it off Khan Academy.)


PS: I DONT KNOW IF IT IS CORRECT!!!!! please, someone check it.

Answers

The value of f⁻¹(f⁻¹(7)) is 10

How to determine the value of the expression?

The expression is given as:

f⁻¹(f⁻¹(7))

We start by solving the inner expression f⁻¹(7).

The above means that we determine the x value when y = 7.

So, we have:

f⁻¹(7) = 14

Substitute f⁻¹(7) = 14 in f⁻¹(f⁻¹(7))

f⁻¹(14)

Next, we determine the x value when y = 14

f⁻¹(14) = 10

Hence, the value of f⁻¹(f⁻¹(7)) is 10

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Answer:

20

10

Step-by-step explanation:

Fill in the missing number in this sequence:
{ } 216, 36, 6, 1

Answers

Answer:

1296

Step-by-step explanation:

times each number by 6

example: 1x6=6 6x6=36 36x6=216 216x6=1296

Hi student, let me help you out! :)

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

We are asked to fill in the missing number in the sequence

[tex]\star~\mathrm{(~~),216,36,6,1}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Take a look at the common ratio.

Since every number is divided by 6, we need to multiply 216 times the common ratio, 6:

[tex]\star~\mathrm{216\times6}[/tex]

Simplify!

[tex]\star~\mathrm{1296}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

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