I have already done Number one but I need help with 2. Please help when you find time to!
Answers
Answer:
Step-by-step explanation:
Formulae
Area of a triangle = 1/2 x base x height
Area of a rectangle = width x length
Question 1
Surface area of square based pyramid = area of base + 4 × area of triangle
⇒ SA = (6 × 6) + 4(1/2 × 6 × 14)
= 36 + 168
= 204 yd²
Question 2
Surface area of a cuboid = 2 × base area + 2 × end area + 2 × side area
⇒ SA = 2(10 × 6) + 2(6 × 3) + 2(10 × 3)
= 120 + 36 + 60
= 216 mm²
Extra credit question
Surface area of a triangular based prism = base area + 2 × triangle area + 2 × side areas
base area = 3 × 10 = 30 mm²
triangle area = 1/2 × 3 × 2 = 3 mm²
side area = 10 × 2.5 = 25 mm²
⇒ total SA = 30 + (2 × 3) + (2 × 25)
= 30 + 6 + 50
= 86 mm²
❍ Concept :-
We can solve these questions by using the formulas of area of triangle and rectangle, which will make our work easier. So, we know that,
⠀
[tex] \blue{ \underline{ \boxed{ \begin{array}{cc} \sf1. ~Area_{Triangle} = \dfrac{1} {2} \times b \times h \qquad \: \: \: \: \: \: \: \\ \\ \\ \sf2. \: Area_{Rectangle} = Length \times Breadth \end{array}}}} \\ \\ [/tex]
Using these formulas and figuring out the number of triangles and rectangles in each shape, we will solve this question.
⠀
✰ Solution :-
⠀
1. In this square pyramid, if we closely observe, we will get to know that there are 1 rectangle and 4 triangular faces. Thus,
⠀
[tex]\sf \hookrightarrow Area=6 \times 6 + 4( \dfrac{1}{2} \times 6 \times 14) \\ \\ \\ \sf \hookrightarrow Area=36 + 168 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {204 \: yd}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]
⠀
2. Now, here, we can use the formula of total surface area for cuboid, i.e.
⠀
TSA = 2( lb + bh + hl )
⠀
[tex]\sf \hookrightarrow Area=2(10 \times 6 + 6 \times 3 + 10 \times 3) \\ \\ \\ \sf \hookrightarrow Area=2(60 + 18 + 30) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=2 \times 108 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {216 \: mm}^{2} \: \: \qquad \qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
⠀
Extra Credit Question.
⠀
Here, we can find out the total surface area by finding,
⠀
Base area i.e. length x breadth ( B.A. )
Side area i.e. length x breadth ( S.A. )
triangular area = 1/2 x b x h ( T.A. )
⠀
Now,
⠀
TSA = BA + 2 x S.A. + 2 x T.A.
⠀
[tex]\sf \hookrightarrow Area=(10 \times 3) + 2(10 \times 2.5) + 2(\dfrac{1}{2} \times 3 \times 2) \\ \\ \\ \sf \hookrightarrow Area= 30 + 2 \times 25 + 2 \times 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=30 + 50 + 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {86 \: mm}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Related Questions
Can someone do this for me
Answers
Answer:
A - 10 feet
D - 5 seconds
Step-by-step explanation:
Insert 12 for r the radius and 1500 for V the volume.
12 = [tex]\sqrt{}\frac{3(1500)}{\pi h}[/tex]
Square both sides
144 = [tex]\frac{4500}{\pi h}[/tex]
Solve 144 = [tex]\frac{4500}{\pi h}[/tex]: h = [tex]\frac{125}{4\pi }[/tex]
h = [tex]\frac{125}{4\pi }[/tex] or 9.9 rounded to the nearest foot,
h = 10
t = [tex]\sqrt\frac{2(200)}{16}[/tex]
t = [tex]\sqrt\frac{400}{16} = 25[/tex]
t = [tex]\sqrt{5^{2} }[/tex]
t = 5
the ratio of 20 paise to Rupees 1 is option 1:5, 2:1 , 20:1, 2:3
Answers
Answer:
1:5
Step-by-step explanation:
divide by 20 on both sides, 5 : 1.
Kim and Steven went to dinner. Kim had a coupon for 25% discount off the price of all meals, not including tax and tip. If the original price of the meals was 75.00, what is the discount price, not including tax and tip.
Answers
Answer:
$56.25
Step-by-step explanation:
75%*75.00 = 56.25
Select all of the steps that are possible when solving for x.
5 1/2x + 2/3x = 37
x = 37
x = 6
37x = 6
37/6x = 37
1 1/2x + 2/3x =37
Answers
Answer:
37/6x = 6 and 5 1/2x + 2/3x = 6
Step-by-step explanation:
original price? The discount is 40% in the sale price is $18
Answers
Answer:
$10.8
Step-by-step explanation:
Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8
What is the volume of this prism?
3 cm
3 cm
20 cm
13 cm
13 cm
6 cm
Answers
Answer:
720
Step-by-step explanation:
break the area into two shapes the triangle and the rectangle
then you good
PLS HELPpppppppppppp ;0
Answers
Answer:
reflection
Step-by-step explanation:
by examination
Answer:
A reflection off the x axis
Step-by-step explanation:
Hope this helps!!!
Write x2 y2 – 18x 8y 5 = 0 in standard form. group terms and move the constant to the other side of the equation. x2 – 18x y2 8y = –5 determine the values that need to be added to both sides of the equation. (–18 ÷ 2)2 = 81 and (8 ÷ 2)2 = 16 add the values to both sides of the equation. write each trinomial as a binomial squared, and simplify the right side. what is the standard form of the equation of a circle given by x2 y2 – 18x 8y 5 = 0? ( )² ( )² =
Answers
The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given below.
x² + y² – 18x + 8y + 5 = 0
Add and subtract 97, then we have
x² – 18x + y² + 8y + 97 – 97 + 5 = 0
x² – 18x + 81 + y² + 8y + 16 – 92 = 0
(x – 9)² + (y + 4)² = 92
More about the circle link is given below.
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What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 11 cm wide, and 9 cm tall?
Answers
Answer:
the longest segment is between 14 and 9
Step-by-step explanation:
this is the best answer in my eyes
The length of the diagonal of the rectangular prism will be 19.95 centimeters.
What is the diagonal of the rectangular prism?A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.
The length of the diagonal of the rectangular prism is given as,
D² = L² + W² + H²
The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.
The diagonal length is calculated as,
D² = 14² + 11² + 9²
D² = 196 + 121 + 81
D² = 398
D = 19.95 cm
The length of the diagonal of the rectangular prism will be 19.95 centimeters.
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draw a triangle ABC with vertices A(4,2), B(3,5)and C(6,5) on a graph paper. Reflect it on X=Y and show the image on the same graph paper.
Answers
Answer:
not sure if its correct but let me know if its incorrect
thank you !
Which steps would be used to solve this equation? StartFraction t Over 3 EndFraction = 2. 78 Check all that apply. Multiply by 3 on both sides of the equation. Divide by 3 on both sides of the equation. 2. 78 ÷ 3 = 0. 93, so t = 0. 93. 2. 78 × 3 = 8. 34, so t = 8. 34. Substitute 8. 34 for t to check the solution. Substitute 0. 93 for t to check the solution.
Answers
The value of variable t =8.34.
We have solve the equation [tex]\frac{t}{3} = 2.78[/tex]
What is the meaning of equation?A statement that the values of two mathematical expressions are equal.
We will use the steps below to solve this equation
First, multiply by 3 on both-side of the equation.
[tex]\frac{t}{3} \times 3= 2.78 \times 3[/tex]
[tex]t=8.34[/tex]
[tex]t = 8.34[/tex]
We can further substitute 8.34 for t to check the correctness of the solution that is,
[tex]\frac{8.34}{3}= 2.78[/tex]
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whats 2 plus 2 i am in first grade
Answers
Answer:
4
Step-by-step explanation:
2+2=4
I hope this helps you!!
convert 4 hours into minutes
helpp ASAP
Answers
Answer: 240 minutes
Step-by-step
60 times 4 hour = 240 minutes
-2x + 22 < 18
It is an inequality
Answers
Answer:
Solving for x;
-2x + 22 < 18
Get rid of constants:
-22 -22
-2x < -4
Isolate x, by dividing by -2 from both sides since the inverse operation of multiplication is division, and remember when dividing or multiplying by negative integers, you flip the inequality symbol around:
÷-2 ÷-2
x > 2
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x > 2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}[/tex]
Given:
-2x + 22 < 18
Solve:
[tex]\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+22-22 < 18-22[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x < -4[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right) > \left(-4\right)\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2x > 4[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2} > \frac{4}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x > 2[/tex]
~Lenvy~
will give brainliest!
fill in the table using this function rule. y= 3 + 2x
x- 4, 5, 9, 10
y- blank
Answers
Replace x in the equation with the given x values and solve for y:
3 + 2(4) = 11
3 + 2(5) = 13
3 + 2(9) = 21
3 + 2(10) = 23
the y values are: 11, 13, 21, 23
#4
y=3+2(4)=3+8=11#5
y=3+2(5)=3+10=13#9
y=3+2(9)=3+18=21#10
y=3+2(10)=3+20=23HELP Two workers, if they were working together, could finish a certain job in 24 days. If one of the workers does the first half of the job and then the other one does the second half, the job will take them 50 days. How long would it take each worker to do the entire job by himself?
Answers
https://brainly.com/question/15414578
Name the type of logical fallacy being used.
29. if you don’t want to drive from boston to new york, then you will have to take the train.
Answers
The type of logical fallacy being used in the sentence "If you don’t want to drive from boston to New york, then you will have to take the train" is false dilemma.
What is fallacy?It should be noted that a fallacy simply means a deceptive argument where the conclusion isn't supported by the premises.
In this case, false dilemma is when a limited number of options are incorrectly presented as being mutually exclusive.
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The temperature in some region of Alaska equals 13 F. Convert this temperature to Celsius
Answers
Answer:
10.5* Celsius
Step-by-step explanation:
Its easy to do, this is the right answer
b= c= Please help I need to do this asap
Answers
What is the slope of the line that passes through the points (9, 2) and (9,27)? write your answer in simplest form.
Answers
[tex]\textsf{The slope of a line passing through two}[/tex]
[tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]
[tex]\green{ \underline { \boxed{ \sf{ Slope, =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]
Here,
[tex]\sf{x_1= 9}[/tex][tex]\sf{y_1=2}[/tex][tex]\sf{x_2=9}[/tex][tex]\sf{y_2= 27}[/tex]
Putting Values:-
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Slope =\frac{27-2}{9-9} \\\end{gathered} \end{gathered} [/tex]
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{25}{0}\quad(not\: defined) \\\end{gathered} \end{gathered}[/tex]
>>The slope of the line that passes through the given points is not defined.
Note- We can conclude that if x-coordinate of the points through which line passes are same , then slope is always not defined .
What is the approximate
volume of this cylinder? (radius is 3 cm and the height is 12 cm)
a. 36 cm3
b. 339 cm3
c. 226 cm3 1
d. 324 cm3
Answers
Answer:
a.36 cm³
Step-by-step explanation:
Explanation:- because 3 ×12 =36 so ans is 36cm³..hope helps u
How many different three digit numbers can be made with 123456789
Answers
Answer:
84
Step-by-step explanation:
Since, the digit should be in ascending order, therefore we have to group 123456789 into 3–3 groups with its digits being in ascending order.
Step 1:
Select 1 as one digit
Step 2:
Select 2 as a 2nd digit.
Step 3:
We have 7 numbers (3,4,5,6,7,8,9) as a 3rd digit of a 3-digit number. Therefore, We have 7 numbers in the form of 12_.
Go back to Step 2 and Select 3 as a 2nd digit. Then, we have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 13_.
Continue these steps till you get the number of 3-digit numbers in the form of 1__ to 189 which will be 28 numbers.
Go back to Step 1 now and select 2 as a 1st digit and in Step 2, start with 3 as a 2nd digit.
In step 3, you’ll have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 23_.
Continue these steps till you find the number of the 3 digit number of the form 2__ to 289 which will be 21
Repeat the steps again to find the number of 3digit number of the form 3__ to 389 which will be 15.
Then find 4__ to 489, 5__ to 589, ……till 789
the answers will be like this
1__=28
2__=21
3__=15
4__=10
5__=6
6__=3
789 which is 1
Adding all these, you’ll get 84.
The total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] distinct ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We can use the rule of product as:
we can use the analogy of filling each of the 3 places of the three digit number, and this filling doesn't require any ordering like fill the first place and then second etc. We can take those 3 place fillings as 3 different works to be done,e each one doable in 9 different ways.For this case, the three digit number consider is going to have 3 places in it such that each place can have any of those 9 digits in them.
So each place can be filled in 9 ways.
There are 3 such places, so, using the rule of product, the filling of those places can be done in:
[tex]9 \times 9 \times 9 = 9^3 = 729 \: \rm ways[/tex]
Thus, the total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.
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The table shows the number of apples needed to make apple pies and applesauce sold at a farm
store. During a recent picking at the farm, 169 Granny Smith apples and 95 Red Delicious apples
were picked. Write and solve a system to determine how many apple pies and how many batches
of applesauce can be made if every apple is used. (Hint: read across each row to create your equations!)
# Needed # Needed Total
Type of Apple for 1 (Pie) for Sauce
Granny Smith 5
4
169
Red Delicious
3
2
95
Answers
Answer:
pie - 38
sauce - 37.5
Step-by-step explanation:
For the Red Delicious apples you keep subtracting 5 from the total (95) and adding 1 to both of the total numbers of pies and apple-sauce. For the Granny Smith apples you keep subtracting 9 from the total and adding 1 to both of the total numbers of pies and apple-sauce until you get to 7 then you subtract 5 and 1 to the total of pies then you only have 2 left and that is half of the appl-sauce.
The value of x from the equation is 21 pies and the value of y from the equation is 16 batches of apple sauces
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of apple pies be x
Let the number of batches of apple sauce be y
Now , the system of equations are
5x + 4y = 169 be equation (1)
3x + 2y = 95 be equation (2)
Multiply equation (2) by 2 , we get
6x + 4y = 190 be equation (3)
Subtracting equation (1) from equation (3) , we get
x = 190 - 169
x = 21
Substitute the value of x in equation (2) , we get
3x + 2y = 95
3 ( 21 ) + 2y = 95
63 + 2y = 95
Subtracting 63 on both sides of the equation , we get
2y = 32
Divide by 2 on both sides of the equation , we get
y = 16
Therefore , the value of x and y are 21 and 16 respectively
Hence , the number of apple pies and apple sauces are 21 and 16 respectively
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johnny is making 30 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answers
What is the value of x? (Please hurry)
Answers
Answer:
8 root 2 or 11.3
Step-by-step explanation:
square 16 and divide by two to find square of other sides. Then root it to find answer
Answer: 8 root 2 or 11.3
Step-by-step explanation:
square 16 and divide by two to find square of other sides. Then root it to find answer
answer question pls I will give brainliest
Answers
Answer:
6 x 4 x 4
Step-by-step explanation:
3.
Which expression is equivalent to -0.4(10.2x - 15 +2.2x)
a. -4.96x + 6
b. -4.96x - 6
C.-4.96x - 6.4
d. -4.96x + 6.4
Answers
Answer: -4.96x + 6
Step-by-step explanation:
In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.
-0.4 (10.2x-15+2.2x)
= - 4.08x +6 -0.88x
Now that you have this problem, combined like terms. What are the like terms in this problem?
The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.
-4.08x -0.88x +6
= -4.96x +6
This would be your final answer because nothing further can be done at this point.
hope this helps!
I need help on this question
Answers
Answer:
ans: 4/729
Step-by-step explanation:
here,
-2 ^2 = 4
and
(3^3)^2 = 3^6 = 729
= 4/729
Solve:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} [/tex]
→ Don't plagiarism
→ Perfect answer needed.
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{6x + 1}{3} + 1 = \dfrac{x - 3}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{6x + 1}{3} - \dfrac{x - 3}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{12x + 2 - x + 3}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{11x + 5}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: {11x + 5}{} =- 6[/tex]
[tex]\qquad \sf \dashrightarrow \: 11x = -6 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: x = -1 [/tex]
Step-by-step explanation:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} \\ \frac{6x + 1 + 3}{3} = \frac{x - 3}{6} \\ 6( 6x + 4) = 3(x - 3) \\ 36x + 24 = 3x - 9 \\ 36x - 3x = - 9 - 24 \\ 33x = - 33 \\ x = - 1[/tex]
6. The vertex of a parabola is (15,-30) and the y-intercept is (0,25). Is this enough information to write
the equation? If so, do such, if not explain.
Answers
Answer:
[tex]y=\frac{11}{45} x^2-\frac{22}{3}x+25.[/tex]
Step-by-step explanation:
Enough.
The explanation is in the attached picture.
Note, the suggested way is not the only one, and finally a=11/45.