Rectangular prism surface area

Answers

Answer 1

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.


Related Questions

A cone has a volume of 565.2 cubic millimeters and a radius of 6 millimeters. What is its
height?
Use I 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

h = 15 mm

Step-by-step explanation:

Given that,

The volume of a cone, V = 565.2 cubic millimeters

The radius of the cone, r = 6 mm

We need to find its height. The formula for the volume of the cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Where

h is the height of the cone

[tex]h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm[/tex]

So, the height of the cone is equal to 15 mm.

A bag contains colored marbles.

5 marbles are red.
3 marbles are green.
8 marbles are blue.
4 marbles are white.

A marble will be randomly selected from the bag. What is the probability that the marble selected will be blue?

A. 0.8
B. 0.5
C. 0.4
D. 0.2

Answers

Answer: C.) 0.4

Explanation: 8/20 chances -> 2/5 -> .4

A mother bear and her cub catch fish from a river . The mother bear catch 10 fish the mother bear catch 5 times as many

Answers

Answer:

This doesn't make sense.

Step-by-step explanation:

If the question was "A mother bear and her cub catch fish from a river. The cub catches 10 fish and the mother bear catches 5 times as many as the cub. How many fish did the cub catch?" then the answer would be, The mother bear caught 50 fish.

This is because if the cub caught 10, and the mother caught 5 times that amount, the mother caught 5 x 10 fish. 5 x 10 = 50.

Which of these is a trinomial?
A. 2x^3 – 7y^3
В. 5xy
C. 2x - 7
D. x + 2y^2-7​

Answers

Answer:

D. x + 2y² - 7

Step-by-step explanation:

it because it has 3 terms

A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)

Answers

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]

For sample 2:

[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]

Calculating the null and alternative hypotheses:

[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]  

Calculating the test statistic:

[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]

Calculating the conservative degrees of freedom:

[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]

by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].

[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]




twenty and thirty-six thousandths in standards form

Answers

Answer:

twenty and thirty-six thousandths in standards form is 20.036

Answer:

20.006

Step-by-step explanation:

I think this is what you need but not a lot of info. sorry if it's not

Molly earns $6 for each hour she babysits plus $10 to cover any personal
expenses. Suzie earns $4 for each hour she babysits plus $24 to cover
personal expenses. At a certain point, Molly and Suzie will work the same
number of hours and earn the same amount of money. At this point, how
much money will each girl earn?
A.$34
B.$44
C.$52
D.$62

Answers

Answer:

44

Step-by-step explanation:

Answer:

The answer is C or 52!!

Step-by-step explanation:

Brainliest Please!

i need step by step answers

Convert the equation to Standard Form.



y=2(x+1)^(2) −4

Answers

Answer:

(-8x2-16x-8)

Step-by-step explanation:

y= (2x + 2)^2 (2 - 4)

y= (2x + 2)(2x + 2)(2 - 4)

y= −82−16−8

Triangle ABC is similar to DEF. Which proportion can be used to find the length of DE in centimeters?

Answers

Answer:

[tex]\frac{DE}{4} = \frac{9}{3}[/tex]

[tex]DE = 12[/tex]

Step-by-step explanation:

Given

See attachment for triangles ABC and DEF

Required

The proportion to find DE

To solve for DE, we can make use of the following equivalent ratios;

[tex]AB:DE = BC:EF[/tex]

Substitute values for AB, BC and EF

[tex]4:DE = 3:9[/tex]

Express as fractions

[tex]\frac{DE}{4} = \frac{9}{3}[/tex]

The above is the proportion to solve for DE

Solving further:

[tex]\frac{DE}{4} = 3[/tex]

[tex]DE = 4 * 3[/tex]

[tex]DE = 12[/tex]

If AC = 9 cm and tan ABC = 0.75, what is the length of BC?

Answers

Answer:

12 cm confirm ...................

From the concept of trigonometric ratios, we determine the length of the side  BC is 6.75 cm.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, The length of the side AC = 9cm.

The measure of tan∠ABC = 0.75.

We know tan = opposite/adjacent.

Here, the opposite is AC and adjacent is BC.

Therefore, 0.75 = 9/BC.

BC = 9×0.75.

BC = 6.75.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ2

What is the value of the flowers?

Answers

Answer:

24

Step-by-step explanation:

6*6=36

6+10=16

2*10=20

Flower=10-6+20=24

Solve for x.
A) 4
C) 1
B) 10
D) 12

Answers

Answer:

A) 4

Step-by-step explanation:

3*4 = 12

1+12=13

Solve 24=3r4. The solution is r=
what is the answer for this?
i tried 2 and it says wrong

Answers

Answer:

r=1.681793,−1.681793

Step-by-step explanation:

1/8 plus 1/4 equals.

Answers

Answer:

3/8

Step-by-step explanation

Please just use a calculator

Answer:

0.375

Step-by-step explanation:

Solve the equation. 12x+3=51

Answers

[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]

Answer:

= 4

Step-by-step explanation:

1 2 + 3 = 5 1

1 2 + 3 -3 = 5 1 − 3

i hope this helps<3

:)

i will mark brainliest if you’re correct!!!

The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:

V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length

Which formula best represents l in terms of w and V ?


A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3

Answers

V = 8w + 3l
V-8w/3 = l
Answer is C.

HELP HELP ASAP ASAP WILL MARK BRAINLIEST
PLEASE EASY POINTS

Answers

Answer:

Step-by-step explanation:

you need more information to be able to answer the question. Is there any other information they gave you?

i think you are right maybe but this is helpful sorry!

Please help with question please please

Answers

Answer:

B. 55+70<750

Step-by-step explanation:

On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?

Answers

Answer:

Birds [tex]F_b=14.3\%[/tex]

Gerbils [tex]F_g=42.9\%[/tex]

Fish [tex]F_f=21.4\%[/tex]

Hamsters [tex]F_h=21.4\%[/tex]

Step-by-step explanation:

From the question we are told that:

Sales

Number of birds  [tex]n_b=2[/tex]

Number of gerbils  [tex]n_g=6[/tex]

Number of fish  [tex]n_f=3[/tex]

Number of hamsters  [tex]n_h=3[/tex]  

Generally the frequency for birds [tex]F_b[/tex] is mathematically given b

[tex]F_b=\frac{n_b}{n}*100[/tex]

[tex]F_b=\frac{2}{14}*100[/tex]

[tex]F_b=14.3\%[/tex]

Generally the frequency for Gerbils [tex]F_g[/tex] is mathematically given b

[tex]F_g=\frac{n_g}{n}*100[/tex]

[tex]F_g=\frac{6}{14}*100[/tex]

[tex]F_g=42.9\%[/tex]

Generally the frequency for fish [tex]F_f[/tex] is mathematically given b

[tex]F_f=\frac{n_f}{n}*100[/tex]

[tex]F_f=\frac{3}{14}*100[/tex]

[tex]F_f=21.4\%[/tex]

Generally the frequency for fish [tex]F_h[/tex] is mathematically given b

[tex]F_h=\frac{n_h}{n}*100[/tex]

[tex]F_h=\frac{3}{14}*100[/tex]

[tex]F_h=21.4\%[/tex]

Which triangle is NLM congruent to? Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.

Which statement is true? *
none of the other choices
sin 50° = cos 40°
sin 50° = tan 50°
sin 50° = tan 40°
sin 50° = cos 50°

Answers

Sin 50= cos 40 is true

Answer:

sin 50=cos 40 is true statement.

prime factorization of 154​

Answers

Answer:

The prime factors of 154 are 2, 7, 11.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]154 = 2 \times 7 \times 11[/tex]

. Es una característica numérica de la población, para su cálculo se emplean formulas y generalmente se indican con letras griegas. A) Estadístico o Valor Estadístico B) Parámetro C) Dato Continuo D) Dato Cuantitativo

Answers

Answer:

B) Parameter

Step-by-step explanation:

To find  - It is a numerical characteristic of the population, formulas are used for its calculation and are generally indicated with Greek letters. A) Statistical or Statistical Value B) Parameter C) Continuous Data D) Quantitative Data

Answer -

The correct option is - B) Parameter

Reason -

In statistics, A parameter is a numerical characteristic of a population, as distinct from a statistic of a sample.

why is the petrol price cheaper at coastal than inland

Answers

Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.

The petrol price is cheaper at coastal than inland due to the cost of transporting the petrol to inland. Deposits are found along the coast, so the price to transport the petrol is much cheaper than having to transport it all the way from the coast to inland. Therefore, transportation costs are the cause of petrol prices being cheaper at the coast than it is inland.

2 + 1.25f = 10 - 2.75f

Answers

Answer:

F=2

Step-by-step explanation:

1.25f+2.75f=10-2

calculate like terms

4f=8

divide

F=2

What is the surface area of the rectangular pyramid

Answers

Answer:

88.8 cm square

Step-by-step explanation:

solve for X
7x=49 (brainliest)

Answers

Answer:

7

Step-by-step explanation:

divide 7 to both side

7x/7=49/7

x=7

sam deposits 10000 into a savings account that earns 4.25% interest compounded annually. What will be the total amount in the account

Answers

Answer:

With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.

Step-by-step explanation:

ANYONE IM RUNNING OUT OF TIME!!!!!

Answers

Answer:

Y= -5/2x+3

Step-by-step explanation:

A perpendicular slope is always opposite (meaning if the original is negative, then it is positive and vice versa) and reciprocal (meaning the numerator and denominator of the original are flipped).

The y intercept I found by applying the slope to the point given.

Perpendicular lines have opposite reciprocal lines.

y = mx + b
the m represents the slope
the opposite reciprocal of 2/5 is -5/2
y = -5/2x + b
to solve the rest of the problem, you will need to plug in your x and y coordinates.
-2 = -5/2(2) + b
-2 = -10/2 + b
-2 = -5 + b
Add 5 to both sides.
b = 3

This means your equation is...
y = -5/2x + 3

PLS HELP!!!!!
which polynomial is a perfect square trinomial?

A. 49x^2 - 28x + 16
B. 4a^2 - 20a + 25
C. 25b^2 - 20b - 16
D. 16x^2 - 24x - 9

Answers

Answer:

B

Step-by-step explanation:

We have to find which trinomial has:

1) two terms that are the perfect square of two numbers

2) a terms that is the double product of the two numbers

the first condition is satisfied by A and B, but only B satisfied the second., in fact the trinomial can be rewrite as: (2a-5)^2

Options C and D are traps because the square of a number can’t be negative

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