Volume of square based pyramid is 1568 cm3 and half of the length of the

side of the base is 7cm. Calculate the area of triangular faces of pyramid.

Answers

Answer 1

answer:

1393.84

Step-by-step explanation:

since the formula for a square base pyramid is a^2×h/3

we can find out the height for the pyramid by dividing the a^2×h/3 by a^2 =h/3

1568/7^2=32 since 32 = h/3 we multiply by 3 to find the height which = 96

now that we have the height we usee the pathagorean Therom to find the height of one of the face triangles

so 96^2+3.5^2=L^2 so L =96.06

so now that we have all we need

the surface area of the square at the bottom of the pyramid is 7×7

the surface area of the triangles are 96.06 ×7/2 since the area of a triangle is h×b/2

since there are 4 triangles and on square 49+4(96.06×7/2)= 1393.84


Related Questions

14+6×(9-6)

please answer ​

Answers

Answer:

32

Step-by-step explanation:

14+6(9-6)

[9-6=3]

14+6x3

[6x3=18]

14+18

32

---

hope it helps

Answer:

14+6×(9-6)=32

Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?

Answers

Answer:

The answer is A, 86 sections.

Step-by-step explanation:

Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.

130 + 300 = 430

Step two : find how many 5 foot sections he has now, divide 430 by 5.

430/5 = 86

Mr. Jackson can divide the new fence into 86 5-foot sections.

The answer is A, 86 sections.

1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
a.
What equation will calculate the value in x years? y =

Answers

Answer:

[tex]A(x) = 12000(1.04)^x[/tex]

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that [tex]P = 12000[/tex]

Compounded at 4% interest annually.

This means that [tex]r = 0.04, n = 1[/tex]

What equation will calculate the value in x years?

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]

[tex]A(x) = 12000(1 + 0.04)^x[/tex]

[tex]A(x) = 12000(1.04)^x[/tex]

Can y’all help on question 29?!

Answers

Answer:

Option C: 20 cm^2

Step-by-step explanation:

Essentially, surface area is just area added up. In this question, there are 4 same rectangles and 2 squares with the areas given. So you have to figure out the total.

Since there are 4 rectangles and each of them has an area of 4cm just multiply 4 by 4 to get 16.

Then, since there are 2 squares with an area of 2 cm each just multiply 2 by 2 to get 4.

Add both numbers, 16 + 4 = 20 and you get your answer.

The total surface area would be 20cm^2.

Wei has 150.00 to make a garland using 60-cent balloons

Answers

Answer:

The answer is 0.60b + 0.30w = 150; 60 + 0.30w = 150

Step-by-step explanation:

Which ones are correct?

Answers

Answer:

Th answer is D

Step-by-step explanation:

look at pic 10 pts will mark brainilest

Answers

Answer:

111

Step-by-step explanation:

y-18=14

y=14+18

y=32

substitute the vale of y

3(y+5)

3(32+5)

3*37

111

In ΔDEF, the measure of ∠F=90°, ED = 25, DF = 24, and FE = 7. What ratio represents the sine of ∠D?

Answers

Answer:

39/89

Step-by-step explanation:

Answer:

7/25

Step-by-step explanation:

(sin) = opp/hyp

Oliver wants to compare the number of hours 7th graders
and 8th graders play video games per week. He makes a
box-and-whisker plot for each data set.
8th Grade
7th Grade
10
12
14
16
18
20
22
24
26
28
30
32
Which value do you know is lesser for 7th grade than 8th
grade?

Answers

The value I do know that is lesser for 7th grade then 8th is going to be 30

A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?

Answers

Given:

A spinner is divided into 8 equal sections  where 3 are black, 4 are yellow, and 1 is red.

To find:

The probability of it landing either on a yellow or a red section.

Solution:

We have,

Total number of sections = 8

Black sections = 3

Yellow sections = 4

Red sections = 1

Now,

Either yellow or red sections = 4 + 1

                                                = 5

Now, the probability of it landing either on a yellow or a red section is:

[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]

[tex]\text{Required probability}=\dfrac{5}{8}[/tex]

Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].

find the probability of spinning an A 3 times

Answers

If the probability of spinning an A once is 1/12, then the probability of spinning an A 3 times is 3 × 1/12.

3 × 1/12 = 3/36

Simplify

3/36 = 1/12

Help me out plsssssss

Answers

120 the answer is 120

Answer:

125

Step-by-step explanation:

the bearing of b to a is equal to 85+45

Angles D and G are complementary. What statement must always be true about angles D and G?

Answers

Answer:

They will never intersect. I'm pretty sure that is right

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
O 1+√211
O-1+ 19;
O 1+2 V19;
O 1+ 19;

Answers

Answer:

1 ± √19i

Step-by-step explanation:

There were 436 tickets purchased for a major league baseball game. The general admission tickets cost ​$6.50 and the upper reserved tickets cost ​$8.00. The total amount of money spent was ​$3284.00. How many of each kind of ticket were​ purchased?
How many general admission tickets were​ purchased? ____
How many upper reserved tickets we purchased? ___

Answers

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Step-by-step explanation:

Let the number of general tickets = g.

Let the number of reserved tickets = r.

6.5g + 8r = 3284

g + r = 436

     6.5g + 8r = 3284

(+)   -8g + -8r = -3488

--------------------------------

     -1.5g         = -204

g = 136

g + r = 436

136 + r = 436

r = 300

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Answer:

136 general admission tickets were purchased

300 upper reserved tickets were purchased

Step-by-step explanation:

This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:

[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]

Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:

[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]

Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:

[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]

Help please, it’s for average rate of change.

Answers

Answer in fraction form = -3/2

Answer in decimal form = -1.5

=========================================

Work Shown:

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(1)-g(-3)}{1-(-3)}\\\\m = \frac{0-6}{1-(-3)}\\\\m = \frac{0-6}{1+3}\\\\m = \frac{-6}{4}\\\\m = -\frac{3}{2}\\\\m = -1.5\\\\[/tex]

Effectively, we're finding the slope through the points (-3, 6) and (1, 0)

The g(b)-g(a) represents how y changes when going from x = a to x = b.

By the distributive law, 49 * 17 + 49 * 3 =

Answers

Answer:

980

hope it helps

Write the slope-intercept form of the equation of the line through the point (-1,-4) with the slope of 6.

Answers

Answer:

y-y1=m(x-x1)

y+4=6(x+1)

y=6x+2

Find the size of the of angle x.

Answers

X = 80 degrees

Total degrees in any triangle = 180
Angles given = 65 + 35 = 100
X = 180-100 = 80

Answer:

80 degrees

Step-by-step explanation:

Since a triangle is 180 degrees

you then add to 2 degrees given and subtract it from 180

65+35=100

180-100=80 degrees

verify that A(3, 1), B(0, 5), and C(-1, -1) are the vertices of a right triangle.

Answers

No, not a right triangle

A rectangle has a length of 16
inches and a width of 6 inches. A similar rectangle has a length of 24 inches. What is the width of the similar rectangle?

Answers

Answer:

9 inches

Step-by-step explanation:

Given

Let;

[tex]L = Length; W= Width[/tex]

So:

[tex]L_1=16in; W_1 = 6in[/tex]

[tex]L_2 = 24[/tex]

Required

Determine [tex]W_2[/tex]

To do this, we make use of the following equivalent ratios

[tex]L_1 : W_1 = L_2:W_2[/tex]

This gives

[tex]16 : 6= 24:W_2[/tex]

Express as fraction

[tex]\frac{6}{16}= \frac{W_2}{24}[/tex]

Multiply by 24

[tex]W_2 = 24 * \frac{6}{16}[/tex]

[tex]W_2 = 9[/tex]

Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft

Answers

Answer:

7,982 ft

Step-by-step explanation:

c = πd

25077 = πd

Divide both sides by π

25077/π = d

d = 7,982 ft

----------------------

I think the 25077 number in the question might be a typo

Just divide the correct number by 3.14 to get the diameter.

Calculating area of rectangle

Your measurments Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)

Required:
Why might two students have different calculated areas when measuring the same rectangle?

Answers

Answer:

[tex]Area = 216.108cm^2[/tex] --- You

[tex]Area = 216.940cm^2[/tex] --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

[tex]Length = 20.70cm; Width =10.44cm[/tex]

Another students'

[tex]Length = 20.74cm; Width =10.46cm[/tex]

Solving (a): The area

Area is calculated as:

[tex]Area = Length * Width[/tex]

For you

[tex]Area = 20.70cm * 10.44cm[/tex]

[tex]Area = 216.108cm^2[/tex]

For the other student

[tex]Area = 20.74cm * 10.46cm[/tex]

[tex]Area = 216.940cm^2[/tex]

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

According to a NY Times article on December 13, 2009, The average selling price of a 32-inch LCD TV was $600. Use the annual CPI values from your text to compute the cost of that same TV in 2010 dollars. Express your answer rounded to the nearest cent.

Answers

Answer:

Your answer should be 647.51

Explanation : the price was 215.949 in December, 2009.

the price was 233.049 in December, 2013.

divide 233.049 by 235.949 and got 1.079185363.

multiply that by 600 and got 647.5112179.

The cost of the TV in 2010 is $647.5

Calculations and Parameters

Given that the complete information contains the Consumer Price Index values:

To find the CPI,

CPI= [tex]\frac{C_t}{C_0}[/tex]

Where C_t= cost of the market basket in the current period

C_0 = cost of the market basket in the base period

In December 2009, the price was 215. 949

In December 2013, the price was 233.049

Hence,

215. 949/233.049

= 1.079185363.

Then we would multiply by the base selling price

[tex]1.079185363 * 600 = 647.5112179.[/tex].

Read more about the consumer price index here:

https://brainly.com/question/1889164

#SPJ6

(d) 4 – 0.2 x (0.4 + 0.7)

Answers

Answer:

4d - 0.22

Step-by-step explanation:

0.87 written as a fraction

Answers

Answer:

[tex] \frac{87}{100} [/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.

Hope it is helpful...

Answer:

87/100

Step-by-step explanation:

Có 6 quyển sách và 7 quyển vở. Hỏi có bao nhiêu cách chọn
một trong các quyển nói trên?

Answers

I know right!!! SO CRAZY

Answer:

eeeeeee

Step-by-step explanation:

xdddddddudjdjdjdjdjdjsjsjsjsjsjsjsjjsjsjsjsjsjsjsjsjsjsjjs

factorise y^3- 7y+6 ​

Answers

Answer:

(y−1)(y−2)(y+3)

Step-by-step explanation:

Factor y3−7y+6

y3−7y+6

=(y−1)(y−2)(y+3)

Answer:

(y - 2) (y-1) (y+3)

Step-by-step explanation:

y³-7y+6

= y³ +2y² - 2y² - 3y - 4y +6

= ( y³ +2y² - 3y) - (2y² + 4y -6)

= y( y² +2y -3) - 2( y² + 2y -3)

= (y² +2y -3)(y-2)

= ( y² +3y -y -3)(y-2)

= [ y( y+3) -(y+3)] ( y-2)

= (y-1)(y+3)(y-2)

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

Answers

Answer:

x=3 and x=-2 is the root of given eq

Answer:

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?

x = –2 or x = 3 is the answer

Step-by-step explanation:

solve 14a-3b+9c=18 for a. Do not use a= in your answer

Answers

Answer:

9/7 + 3/14b  - 9/14c

Step-by-step explanation:

See image below:)

Other Questions
Help me out plssss thank u interesting biology project topic The differences in beak shape are examples of: PLEASE PLEASE PLEASE HELP ME. I REALLY NEED HELP. Thank you so much!!!!!Q1. While traveling in Scotland, Moria Noel Xavier goes by her Scottish maiden name, McTaggart. This is an example of 1. Cultural variability2. Social Construction3. Situational Identity4. Symbolic Identity5. None of the answer choicesQ2. Wearing a "kiss me, I am Irish" shirt on St. Patrick's day is an example of1. None of the answer choices2. Symbolic Identity3. Cultural Variability4. Social Construction5. Situational IdentityQ3. Klaus is catching up with his siblings after a crisis brings them together again. Klaus feels he has been underperforming after comparing himself to his siblings. In this instance, Klaus siblings are acting as1. An out-group2. An in-group3. Reference group4. Primary group5. Secondary groupQ4. What factors aid individuals in exiting homelessness in Los Angeles?1. Employment2. Employment and government policies3. Government policies4. Family support6. Family support and government policiesQ5. Lil and Phil can only be told apart because Lil wears a bow everyday. This is an example of 1. Gender Identity2. Gender Nonconformity3. Gender Expression4. Gender5. All of the answer choices this question isnt on here so here it is and the correct answer you can answer this and ill mark brainliest and give u pointshola chicos me llamo sara y vivo en trujillo peru. hoy voy a la plaza mayor con mi familia. para llegar a la plaza mayor to sigo hasta la calle jiron cuzco en direccion este paro en el semaforo luego doblo a la derecha en la calle jiron carabaya. despues paro en la senal de alto. luego doblo a la derecha en la calle jiron sta. rosa. finalmente doblo a la izquierda en la calle jiron lampa. la plaza mayor esta a la derecha entre la calle jiron sta. rosa la calle jiron ucayalisara makes two rights and a left PLEASE HELP! WILL MARK BRAINLIEST! Please help!An 80% confidence interval is found to be (200,240). What is the margin of error? O A. 32 O B. 20 O C. 40 O D. 16 SUBMIT Consider the reaction between an alcohol and tosyl chloride, followed by a nucleophile. Write the condensed formula of the expected main organic product. CH3CH2CH2OH---------- 2.CI 1.TsCl,pyridine__________ NO LINKS Write a C++ program to accept a 5 digit integer and to validate the input based on the following rules. Rules 1) The input number is divisible by 2. 2) The sum of the first two digits is less than last two digits. if the input number satisfies all the rules, the system prints valid and invalid, otherwise, Example 1: Enter a value: 11222 Output: Input number is valid Example 2: Enter a value: 1234 Output: Input number is invalid A student uses an indicator to measure the pH of a solution. The indicator shows a pH of 7. What must be true of this solution? Which is the graph of f(x) = 4[1/2]x ? Someone please help me with this Only answer if you're very good at Math.Given f (x) = x + 1 and g(x) = x^2, what is ( g o f) (x)?A: ( g o f) (x) = x^2 + 1B: ( g o f) (x) = (x + 1)^2C: ( g o f) (x) = x ^ 2 + x + 1D: ( g o f) (x) = x^2 (x + 1) En 2.0 s, una particula con aceleracin constante a lo largo del eje x se mueve desde x =10 mhasta x =50 m. La rapidez al final del recorrido es de 10 m/s. Cul es la aceleracin de la partcula? Nancy is baking a cake. The recipe calls for seven cups of flour and three cups of sugar. She already put in 1/2 a cup of flour. How many more cups of flour does she need to add? Write your answer in decimal form. help me!!!!! plzzz a container of water is filled to 1/3 of it. if we add 2.5 liters the container will be half full. find how much is the volume of the container. convert it to cm Which Powers does a city town council typically have under the weak-mayor system? Which of the following is true about the group Archaea? A. Archaea has more genetic similarities to Bacteria than EukaryaB. Archaea and Bacteria both have a nucleusC. Bacteria and Eukarya are both prokaryotesD. Archaea has more in common genetically with Eukarya than Bacteria. 5th grade math. correct answer will be marked brainliest