What is the surface area of the rectangular prism below?

A. 736 units2

B. 812 units2

C. 706 units2

D. 824 units2

Answers

Answer 1

Answer:it’s A

Step-by-step explanation:

took the test


Related Questions

A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.

Answers

Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= [tex]P(6 \ males)+ P(7 \ males)[/tex]

= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]

= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]

= [tex]\frac{16870425}{30421755}[/tex]

= [tex]0.5545[/tex]

Sophie Ruth is eating a
50
5050-gram chocolate bar which contains
30
%
30%30, percent cocoa.
How many grams of cocoa are in the chocolate bar?

grams

Answers

Answer:

15 grams

Step-by-step explanation:

There is a 50 gram chocolate bar that contains 30% cocoa. So we are basically finding 30% of 50. We break 30 into 3*10 and 50 into 5*10. 5*3 = 15.

Therefore, there are 15 grams of cocoa in the chocolate bar.

I hope this helps.

plz help me with this

Answers

Answer:

x=100

Step-by-step explanation:

100 and x are vertical angles and vertical angles are equal

x = 100

Answer:

100 degrees

Step-by-step explanation:

Angle x is formed from two intersecting segments. Opposite angles of intersecting lines or segments are congruent therefore since the opposite angle is given at 100 degrees, x must also be 100.

write a formula that describes the value of an initial investment of $100 that loses value at a rate of 8% per year compounded continuously

Answers

Answer:

[tex]A = 100(.92)^{t}[/tex]

Step-by-step explanation:

PLEASE DO THIS ASAP! MUST SHOW WORK!
NO LINKS

Answers

Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w)

l = 14 and w = 18

P = 2(14+18)

P = 2( 32)

P = 64 meters

Perimeter of rectangle = 2 ( L + B )

L represents length of rectangle.

B represents breadth of rectangle.

So ,

L = 14 meters

B = 18 meters

Now , Substuting the values

Perimeter of rectangle = 2 ( 14 + 18 )

Perimeter of rectangle = 2 ( 32 )

Perimeter of rectangle = 64 meters.

Can someone help me I don't understand

Answers

Step-by-step explanation:

Hey there!

From the above right angled triangle ABC;

Taking Angle ABC as reference angle;

Angle ABC = ???

Perpendicular (p) = AC = 15

Base (b) = AB = 47

Now;

Taking ratio of sin;

[tex] \tan( \alpha ) = \frac{p}{b} [/tex]

Keep value;

[tex] \tan( \alpha ) = \frac{15}{47} [/tex]

Simplify it;

[tex] \tan( \alpha ) = 0.3191489[/tex]

Take tan to next side;

Angle ABC (alpha) = tan'(0.3191489)

Therefore, the measure of angle ABC is 17.70°.

Hope it helps!

ILL GIVE BRAINLEST!!! An ice cream shop sold a combined total of 429 ice cream cones in the flavors of
chocolate or vanilla. They sold 105 more chocolate cones than vanilla. How many vanilla
ice cream cones did they sell?

Answers

Answer:

They sold 162 vanilla cones.

Step-by-step explanation:

429-105=324

324/2=162

162+105=267 (chocolate)

267(chocolate)+162(vanilla)=429(total)

A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL' is inscribed in the first row, ‘FLAG' in the fourth row, and a purple coloured rhombus is in the middle

Answers

The question is incomplete. The complete question is :

A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a  purple colored rhombus is in the middle, as shown in the given figure.

Based on this picture of the school flag, answer the following questions:  

(a) What fraction of the flag has the purple rhombus?

Solution :

From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks

The purple colored rhombus is made on the half of the 4 blocks.

i.e. [tex]$\frac{1}{2} \times 4 = 2\ \text{blocks}$[/tex]

Therefore, the fraction of the flag that has the purple rhombus is :

[tex]$=\frac{2}{24}$[/tex]

[tex]$=\frac{1}{12}$[/tex]

Logan was going to go to
Disneyland in America so he got
$450 from the bank. Then he
changed my travel plans, to go to
Eurodisney in Paris. How many
Euros will he have to spend?
Exchange Rate
GBP to Dollars £1: $1.50
GBP to Euros £1: €1.38

Answers

The answer is €414. Let me know if you need detailed solving

How many units the function y = |x - 8| is translated from the parent function?

Answers

Answer:

8 Units, let me know if you didn't understand anything.  

Step-by-step explanation:

Translation is the simple movement of just left, right, up or down.  when dealing with the absolute value function here are the transformations.

A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D.  B is the horizontal shrink, so you divide all x  values by B except for where x=C.  C is the horizontal shift, which is a translation.  C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left.  it could also look like |x + C|.  keep in mind, +C is actually -C because - -C = C.  D shifts up and down, so it is also a translation.  if D is positive it moves up and if D is negative it moves down.

Nowthe only transformation in your problem is -8, which is a horizontal shift to the right.  so the graph moves 8 to the right.  There is your answer, 8 units.

What is the fraction called that is used to convert one unit to another?

Answers

Answer:

ratio

Step-by-step explanation:

by using a conversion factor and a fraction, a ratio can be created to convert one unit to another.

A baseball stadium has 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. You solved for x and found that the upper level has 2,502 seats.

Answers

Answer:

upper level chairs = 2,502 chairs

Lower level chairs = 7,456 chairs

Middle level chairs = 5044 chairs

Step-by-step explanation:

A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. The upper level has( ) seats.

Total chairs in the stadium = 15,002

Let

upper level chairs = x

Lower level chairs = 3x - 50

Middle level chairs = 2x + 40

Total = lower level + middle level + upper level

15,002 = (3x - 50) + (2x + 40) + x

15,002 = 3x - 50 + 2x + 40 + x

15,002 = 6x - 10

15,002 + 10 = 6x

15,012 = 6x

x = 15,012 / 6

x = 2,502

upper level chairs = x = 2,502 chairs

Lower level chairs = 3x - 50

3(2,502) - 50

= 7506 - 50

= 7,456 chairs

Middle level chairs = 2x + 40

= 2(2502) + 40

= 5004 + 40

= 5044 chairs

Write the next thee numbers in each number pattern. Describe the pattern.
a) 2, 4, 3, 6, 5, 10, 9, 16, …
b) 7, 5, 8, 6, 9, 7, 10, …

Answers

Answer:

a) 2, 4, 3, 6, 5, 10, 9, 16, ...

Step-by-step explanation:

Find the equation of the line:

Answers

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x - 2

Can someone help me out

Answers

Answer: [tex]V=3369.3ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (9.3)^3\\V=3369.3ft^3[/tex]

The equation for volume of a sphere is....

4/3(pi)(r^3)

r is just radius, and pi is 3.14....

9.3=r

4/3(pi)((9.3)^3)= 3,479.14 ft^3

To the nearest tenth of a second, the ball is in the air for s.

Answers

Answer:

2.4

Step-by-step explanation:

Took the assignment

Answer:

2.4 seconds is the correct answer.

Step-by-step explanation:

Just completed it.

Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies?

Answers

Answer:

Step-by-step explanation:

Victoria used : 170 g of butter for 250 g of flour.

So, 1 g of flour requires = 170/250 g of butter = 0.68 g of butter.

Victoria's daughter used: 340 g butter for 400 g flour

So, 1 g of flour requires =  340/400 g of butter = 0.85 g of butter

Thus, the cookies are not good made by the daughter as the butter is not in appropriate proportion.

What is the explicit formula for the geometric sequence with this recursive formula

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_1=-6\\\\a_2=a_1*(\dfrac{1}{4} )^1\\\\a_3=a_2*(\dfrac{1}{4} )^1=a_1*(\dfrac{1}{4} )^2\\\\\\\\a_n=a_1*(\dfrac{1}{4} )^{n-1}\\\\Answer\ A\\[/tex]

1. A triangular piece of wood has side lengths 14 cm, 19 cm and 30 cm. The angle between the 14 cm and 19 cm sides need to be known to see if it will fit properly into a cabinet. What is the angle, accurate to one decimal place, between the 14 cm and 19 cm sides? ​

Answers

Answer:

130.1°

Step-by-step explanation:

Using the cosine rule:

[tex] = { \cos }^{ - 1} ( \frac{ {14}^{2} + {19}^{2} - {30}^{2} }{2 \times 14 \times 19} )[/tex]

= 130.146°

The measure of angle is 72.8° (accurate to one decimal place ) between the 14 cm and 19 cm sides.

What is the Cosine Rule?

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given data as :

Length of side a = 14 cm

Length of side b = 19 cm

Length of side c = 20 cm

The angle of C is the between the side a and side b

According to the cosine rule,

c² = a² + b² − 2ab cos(C)

Substitute the values of a, b and c in the Cosine Rule,

20² = 14² + 19² - 2(14)(19)cos(C)

400 = 196 + 361 - 532cos(C)

400 = 557 - 532cos(C)

532cos(C) = 557 - 400

532cos(C) = 157

cos(C) = 157/532

cos(C) = 0.2951

(C) = cos⁻¹(0.2951)

(C) = 72.83

(C) = 72.8° (accurate to one decimal place)

Hence, the measure of angle is 72.8° (accurate to one decimal place ) between the 14 cm and 19 cm sides.

Learn more about Cosine Rule here:

https://brainly.com/question/20839703

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Brown’s time for running a mile in gym class is 9.9 minutes, Ray’s time is 9.47 minutes and Malcolm’s time is 9.76 minutes. Who ran the mile in less time?

Answers

Given:

Brown’s time for running a mile in gym class = 9.9 minutes

Ray’s time for running a mile in gym class = 9.47 minutes

Malcolm’s time for running a mile in gym class = 9.76 minutes

To find:

Who ran the mile in less time?

Solution:

It is given that the time taken by Brown, Ray and Malcolm to cover a mile are 9.9 minutes, 9.47 minutes and 9.76 minutes respectively.

9.47 < 9.76 < 9.9

Since, 9.47 minutes is the lowest time, therefore Ray can run a mile in less time.

Match the number with its opposite -5.4

Answers

5.4 is the answer. The opposite of a negative is a positive and vice versa

There are three square gardens whose lengths of the sides are 3 ft, 7ft, and 2 ft respectively. Find the total area of the three gardens in square feet

Answers

Answer:

62 sq ft

Step-by-step explanation:

3 · 3 = 9

The first garden's area is 9 square feet.

7 · 7 = 49

The second garden's area is 49 square feet.

2 · 2 = 4

The third garden's area is 4 square feet.

We add 9 + 49 + 4.

9 + 49 + 4 = 62

The total area of the three gardens is 62 square feet.

Given that PQ/ST = QR/TU= RS/US, select the postulate or theorem that you can use to conclude that the triangles are similar.

Answers

Answer: SSS Similarity Theorem (Choice A)

This is because we have three pairs of corresponding sides that form the same ratio, as shown by the given equation PQ/ST = QR/TU = RS/US.

That equation is basically the shorthand version of PQ/ST = QR/TU and QR/TU = RS/US combined together as one.

The 4 answer it gives

X=-3

X=-1

X=1

X=3

Answers

Answer:

x=3

Step-by-step explanation:

If we look at the point of intersection on the graph they intersect at point (3,-1) but x=3 and y=-1 therefore x=3.

At a coffee shop, the first 100 customers'
orders were as follows.
Small
Large
Medium
Hot
un
48
22
Cold
8
12
5
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%

Answers

Answer:

people who ordered a cold drink=

[tex]8+12+5=25[/tex]

people who ordered a large cold drink= 5

[tex]probability= \frac{5}{25}[/tex] [tex]=\frac{1}{5}[/tex]

[tex]=\frac{1}{5} \times100=20~\%[/tex]

[tex]Answer: 20\%[/tex]

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

Hope it helps...

Have a great day!!

The probability that the customer ordered a large given that he or she ordered a cold drink is 5%.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given the order of the first 100 customers in a coffee shop.

Number of customers who ordered a large which is also a cold drink = 5

Total number of customers = 100

Probability = Number of desired outcomes / Total number of outcomes

Substituting,

Probability = 5 / 100 = 0.05 = 5%

Hence the required percent is 5%.

Learn more about Probability here :

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Triangle ABC is shown below with line DE passing through the center:

Triangle ABC is shown with line DE running horizontally through the center of the figure.

If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will (6 points)


be parallel to the original line

shift three units to the right

be perpendicular to the original line

pass through points D and E

Answers

Answer:

D'E' be parallel to the original line

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

Line [tex]DE[/tex]

[tex]k = 3[/tex] -- scale factor

Required

The relationship between [tex]DE[/tex] and [tex]D'E'[/tex]

When [tex]\triangle ABC[/tex] is dilated by a scale factor of 3, [tex]\triangle A'B'C'[/tex] will be three times as big as [tex]\triangle ABC[/tex].

Also:

Line [tex]D'E'[/tex] will be three times as long as [tex]DE[/tex]

Since no further transformation is done on [tex]\triangle ABC[/tex] and line [tex]DE[/tex], then [tex]D'E'[/tex] will be parallel to [tex]DE[/tex]

y = -4(x + 6)(x - 8)
How do you write this in standard form?

Answers

Answer:

[tex]y = -4x^2 + 8x + 192[/tex]

Step-by-step explanation:

Hi there!

Standard form: [tex]y=ax^2+bx+c[/tex]

[tex]y = -4(x + 6)(x - 8)[/tex]

Use the distributive property to multiply (x+6) and (x-8)

[tex]y = -4(x(x - 8) + 6(x - 8))\\y = -4(x^2 - 8x + 6x - 48)\\y = -4(x^2 - 2x - 48)[/tex]

Multiply the parentheses by -4

[tex]y = -4x^2 + 8x + 192[/tex]

I hope this helps!

If 1125 = 3^m × 5^n ;find the value of m and n.​

Answers

9514 1404 393

Answer:

  m = 2

  n = 3

Step-by-step explanation:

1125 = 9·125 = 3^2 · 5^3

  m = 2

  n = 3

_____

Additional comment

Using divisibility rules, you can keep dividing by the obvious factors until the quotient is 1.

  1125/5 = 225

  225/5 = 45

  45/5 = 9

  9/3 = 3

  3/3 = 1 . . . . . . 5 is a factor 3 times; 3 is a factor 2 times.

Help me to do this question plz plz plz ​

Answers

Answer:

Unknown

Step-by-step explanation:

You need to reduce the fractions the best you can and solve from there :) not to sure tho I am only 13

What is the order of rotational symmetry for the figure?

Answers

Answer:

it should be 3

Step-by-step explanation:

I hope this help

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