Answers
Answer:
1. Top: 18 (cm²)
2. Left: 12 (cm²)
3. Front: 24 (cm²)
4. Bottom: 18 (cm²)
5. Back: 24 (cm²)
6. Right: 12 (cm²)
Surface area: 108 (cm²)
Step-by-step explanation:
You can find the surface area of this rectangular prism by using the grid.
We know that in order to find the area of a rectangle, we must multiply the length by the height. Let me make this clearer.
In the grid, the top has a length of 3 centimeters and a height of 6 centimeters. To find the area, we multiply these side lengths.
[tex]3*6=18.[/tex]
Now, we know that the area of the top is 18 centimeters.
Simply find the area of each side, then combine the areas at the end to find the SURFACE area.
[tex]18+12+24+18+24+12=108.[/tex]
Related Questions
I NEED HELP ASAP IM STRESSJNG OUT
Answers
Answer:
A
Step-by-step explanation:
Using the Sine rule in Δ ABC
∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then
[tex]\frac{13}{sin100}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )
BC × sin100° = 13 × sin30° ( divide both sides by sin100° )
BC = [tex]\frac{13sin30}{sin100}[/tex] ≈ 6.6 ( to the nearest tenth )
Each student gets a bag with 6 celery sticks in it. Dwayne eats 4 of his celery sticks. Write the fraction of celery sticks Dwayne eats. Dwayne thinks he ate 2 3 of his celery sticks. Is he correct?
Answers
The drama teacher wants to determine whether more students at the school would attend a comedy or a musical performance. Select all the following that would NOT help the drama teacher draw conclusions about which performance more students would attend.
A. Students who do not act.
B. Every 4th student selected from an alphabetical list of all students at the school.
C. Students who are in drama club.
D. Students who are in theater class.
E. The same number of students from each grade whose names are randomly selected from a hat.
Answers
Answer:
Option C and D
Step-by-step explanation:
The teacher wants to evaluate how many students will attends the comedy class and how many will attend the musical performance. Hence, He must be able to determine the number of students attending the drama club and theatre club as this will help him in determining the approximately correct number of students attending comedy or music class.
Hence, option C and D are correct
Identify the slope and y-intercept for the line y = -2x -3.
Answers
Answer:
The slope is -2 and the y intercept is -3
Step-by-step explanation:
y = -2x -3
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2 and the y intercept is -3
henry who is 3 years younger than sandra is 14 write an equation to represent sandras age
Answers
PLEASE HELP. !!!!!!!!!!
Answers
Answer:
the last one bottom right
Step-by-step explanation:
well, did it in my head, but the idea is to calculate it out
(x-8)*(x-8)=50
is just
x²-16x+64=50
to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side
hope that helps
Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines
Answers
Answer:[tex]5x+3y+1=0[/tex]
Step-by-step explanation:
Given
The linear equation is [tex]5x+3y-9=0[/tex]
The other linear equation parallel to the given line can be represented by
[tex]5x+3y+c=0[/tex]
Here, c can take any value . for example c=1, line becomes
[tex]\Rightarrow 5x+3y+1=0[/tex]
Find the volume of a rectangular prism with a length of 5 cm, a width of 5 cm and a
height of 20 cm, to the nearest tenth of a cubic centimeter.
Answers
Answer:
500 cubic centimetres
Step-by-step explanation:
How many solutions does the system have?
4x−6y=−24
2x−3y=−6
Answers
Answer:
none
Step-by-step explanation:
if we plot it, it's clear, but you might also spot that the plotted lines will be parallel in the equation
because x and y in line two are the same multiple of these in line one (both values are just the half)
plotted with desmoes
help me solve for m<4 and m<5 and x
Answers
Answer:
x = 18
Angle 4 = 31 degree
Angle 5 = 59 degree
Step-by-step explanation:
According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.
Angle 4 + angle 5 = 90 degree
Angle 4 = 2 x - 5
angle 5 = 4 x - 13
So, according to the question,
2 x - 5 + 4 x - 13 = 90
6 x - 18 = 90
6 x = 108
x = 18
So, angle 4 = 2 (18) - 5 = 31 degree
So, angle 5 = 4 (18) - 13 = 59 degree
The boys and girls soccer clubs are fundraising for new uniforms. The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4. They must raise more than $800. The girls expect to sell at least 100 candles. Write a system of inequalities to represent the situation
Inequality 1:
Inequality 2:
Answers
Answer:
2b + 4c = 800
c > 100
Step-by-step explanation:
The two linear inequalities are 2S+4C>800
and C[tex]\geq[/tex]100
It is given that The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4.They must raise more than $800. The girls expect to sell at least 100 candles. We have to write this situation in system of linear equality
What is system of linear inequalities?
A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables.
The soccer ball is denoted by S and Candles by C
Therefore 2S+4C>800 (We use > symbol for More than)
and C[tex]\geq[/tex]100
To learn more about linear inequalities:
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Please help
this is important (is a activity )
Answers
Answer:
y = 5
Step-by-step explanation:
This is a horizontal line. The value of y does not change
The equation is of the form y = constant
y = 5
Answer:
y = 5
Step-by-step explanation:
Help me to do exercise no 5
Answers
Answer:
Step-by-step explanation:
a) x + 20 = 70 Vertically opposite angles are congruent
b) 2x - 50 = x + 20 Vertically opposite angles are congruent
c) 3x - 10 + 140 = 180 Linear pair
Answer:
(a) 70= x+20 (vertical angles are equal)
70 - 20=x
50=x
(b) x +20 = 2x -50 (vertical angles are equal)
20 + 50 = 2x - x
70 = x
(c) 140 +3x -10=180 (angles on the straight line)
130 +3x = 180
3x = 180 - 130
3x = 50
x= 50/3
please answer and explain the link below
Answers
Answer:
2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunctionsFunction NotationCalculus
Limits
Limit Rule [Constant]: [tex]\displaystyle \lim_{x \to c} b = b[/tex]
Definition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 5
Step 2: Differentiate
[Limit] Substitute in x [Function f(x)]: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{[2(x + \triangle x) + 5] - f(x)}{\triangle x}[/tex][Limit] Substitute in function: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{[2(x + \triangle x) + 5] - (2x + 5)}{\triangle x}[/tex][Distributive Property] Distribute 2: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{[2x + 2\triangle x + 5] - (2x + 5)}{\triangle x}[/tex][Distributive Property] Distribute negative: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{2x + 2\triangle x + 5 - 2x - 5}{\triangle x}[/tex][Subtraction] Combine like terms: [tex]\displaystyle \lim_{\triangle x \to 0} \frac{2\triangle x}{\triangle x}[/tex][Division] Simplify: [tex]\displaystyle \lim_{\triangle x \to 0} 2[/tex]Evaluate limit [Limit Rule - Constant]: [tex]\displaystyle 2[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
On Saturday, the fruit and juice bar was selling 27 glasses of fruit punch an hour. By 7 p.m., they had sold 243 glasses. If their goal was to sell more than 324 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.
Answers
Answer: 3 hours
Step-by-step explanation:
the answer this can be solved by the function:
324 = 27x + 243
-243 -243
27x = 81
/27 /27
x = 3 hours past 7.
Share $150 among John, Mary, and Sarah so that each of the two girls receives twice as much as John. Calculate the amount of money Jon received.
Answers
a cone with base circumference 6 pi and
a height equal to half the radius
Answers
The volume is42.39
A cone with a base circumference of 6 pi and a height equal to half the radius. The volume of the cone is 42.39.
What is the volume of a cone?The volume of the cone is the product of one-third of the height, pie, and square of the radius.
The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]
A cone with a base circumference of 6 pi and a height equal to half the radius.
The circumference of the circular base = 2πr
6π = 2πr
r = 3
The radius of the circular base of a cone is 3 unit.
A height equal to half the radius. Thus, the height is 1.5
The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]
= 1/3 (3.14) (9)(1.5)
= 42.39
Learn more about volume;
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what is the slope that passes through the points : (-2,9) and (4,-7)
Answers
Use the slope formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
The m-term represents the slope.
The formula is the changes of two y-points over the changes of two x-points. We are given two points. Substitute both points in the formula.
[tex] \large{m = \frac{9 - ( - 7)}{ - 2 - 4} } \\ \large{m = \frac{9 + 7}{ - 6} \longrightarrow \frac{16}{ - 6} } \\ \large{m = \frac{8}{ -3 } \longrightarrow - \frac{8}{3} }[/tex]
Therefore the slope is -8/3
Answer
the slope is -8/3Hope this helps! Let me know if you have any doubts.
Answer:
y = -8 / 3x + 11/3
Step-by-step explanation:
Using the slope formula:
[tex]slope = y = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]
1. Select one point to be [tex](x_{1} ,y_{1} )[/tex] and the other [tex](x_{2} ,y_{2} )[/tex]
I chose (-2, 9) to be [tex](x_{1} ,y_{1} )[/tex] and (4, -7) to be [tex](x_{2} ,y_{2} )[/tex]
2. Plug the values into the formula:
[tex]y = \frac{-7-9}{4-(-2)} \\\\y= \frac{-16}{6} \\\\y = \frac{-8}{3}[/tex]
3. Finding the c-value by plugging in one of the points into the equation
y = mx + c
9 = -8/3 (-2) + c
9 = 16/3 + c
c = 11/3
4. y = -8/3x + 11/3
If h(x) = 4x - 3, what is an equation for h-1(x)?
Answers
Answer:
h(x-1)=4x-7
Step-by-step explanation:
Given :
h(x)=4x-3
Now,
putting the value of x =x-1
h(x-1)=(4(x-1)-3)
h(x-1)=4x-4-3
h(x-1)=4x-7
Answer will be h(x-1)=4x-7
find hcf and LCM of 40 ,60 and 80
Answers
hear here is your answer in attachment attach
Answer:
Step-by-step explanation:
40 = 2*2*2*5
60 = 2 * 2 * 3 * 5
80= 2 * 2 * 2 * 2 * 5
LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240
HCF = 2*2*5= 20
Stella earned $72 working 9 hours. How much will she earn in 23 hours?
Answers
Answer: Stella would earn $184 in 23 hours.
Step-by-step explanation: First we need to find the unit rate so start by dividing by 9
[tex]\frac{72}{9} =8\\\frac{9}{9}=1[/tex]
Now we know every hour Stella will earn $8. We can now multiply the amount for 1 hour by 23 to get the amount for 23 hours.
8x23=184
1*23=23
Now we can see that Stella would earn $184 for working 23 hours.
Not sure what it means pls help
Answers
10 points!
If you are going to answer, actually answer!
Answers
Answer:
1/27
Explanation:-
(1/3)^3=(1x1x1)/(3x3x3)=1/27
Answer:
0.03703703703 or
²/27
sorry i am late but still hope I helped
Step-by-step explanation:
I need this answer asap omg it’s the last question on my final lord
Answers
Answer:
oh lord may we put our head down and pray this manz aces his test or whatever it is amen.
Help
I tried solving it but I can’t
Answers
Step-by-step explanation:
tanN= perpendicular/base= 15/8
Answer:
tanN = 15/8
Step-by-step explanation:
Draw a picture!
tan = opp/adj
tanN =MO/ON
tanN = 15/8
of the marbles in a bag, 5 are red, 5 are yellow, and 3 are white. Sandra will randomly choose one marble from the bag. Fill in the blanks in parts a and b. a.
The probability that Sandra will choose a white marble from the bag is __ out of__ or ?/? (fraction)
b. It is _____ that Sandra will choose a white marble from the bag.
Answers
b - 23 %.
(please help) Find m
Answers
Answer:
[tex]m\angle MLK=78^{\circ}[/tex]
Step-by-step explanation:
The Base Angle Theorem states that the base angles of the two equal legs of an isosceles triangle are equal. Since there are 180 degrees in a triangle, we have:
[tex]m\angle MLK+51+51=180,\\m\angle MLK +102=180,\\m\angle MLK=\boxed{78^{\circ}}[/tex]
Under any given transformation, an image is an original image while the pre-image is the new image.
A. True
B. False
Answers
Answer:
This has some fact to it. Its sorta tricky but I'd say False.
Step-by-step explanation:
B.
If m ZACB = 180°, and mZACD = 55°, then
mZDCB = [?]
Enter
Answers
Answer:
125
Step-by-step explanation:
/_ ACB = 180
/_ ACD = 55
/_ ACB is made up of /_ACD and
/_ DCB
Hence, /_ ACB = /_ ACD + /_ DCB
*We then plug in the known values*
180 = 55 + /_ DCB
We now solve for the missing angle
Subtract 55 from both sides
125 = /_ DCB
The polygons are similar, but not necessarily drawn to scale.
Answers
18/27 = 2/3 and 6/9 = 2/3
