Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
ows of four as shown.
7 in.
5 in
4 in
What is the total surface area of the composite solid?
O 521 square inches
1,042 square inches
1,072 square inches
O 1.992 square inches
Answers
Answer:
1042 square inches is the total surface area of composite solid.
Step-by-step explanation:
It is clear from the image that the resulting composite solid is a cuboid.
whose sides are as follows:
Across the length there are 3 blocks along the side of 7 inches each.
Length = [tex]7 \times 3 = 21\ inch[/tex]
Width = 5 inch
Across the height there are 4 blocks along the side of 4 inches each.
Height = [tex]4 \times 4 = 16\ inch[/tex]
We know that total surface area of a cuboid is as follows:
[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]
[tex]\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]
Hence, total surface area = 1024 square inches
Step-by-step explanation: i got it right
Related Questions
Correct answers only!
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer: $44.10
Step-by-step explanation:
We are given our p, r, t in the problem.
p=40 (starting amount)
r=0.05 (5%)
t=2 (years)
With the given information, we can plug this into our equation.
B=p(1+r)^t
B=40(1+0.05)^2
B=44.1
What is the slope of the line through (-2,-6)(−2,−6)left parenthesis, minus, 2, comma, minus, 6, right parenthesis and (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis?
Answers
Answer:
The slope of the line through (-2,-6) and (2,2) is 2
Step-by-step explanation:
The slope of the line through the two points; (-2,-6) and (2,2) is; 2
According to. the equation;
We are required to find the slope of the line through; (-2,-6) and (2,2)The slope, m is therefore;
Slope, m = (2 -(-6))/(2 -(-2))Slope, m = (2+6)/(2+2)Slope, m = 8/4Slope, m = 2.
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Complete the point-slope equation of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-7,-8)(−7,−8)?
Answers
Answer:
Step-by-step explanation:
hello : here is an solution
The equation of the line in point-slope form is y - 6 = -7(x+9)
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is any point on the line
Given the coordinate points (-9, 6) and (-7, -8)
Get the slope of the line:
slope = -8-6/-7+9
Slope = -14/2
Slope = -7
Using the point (-9, 6), the required slope is expressed as:
y - 6 = -7(x-(-9))
y - 6 = -7(x+9)
Hence the equation of the line in point-slope form is y - 6 = -7(x+9)
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A waitress serves $950. Worth of dinners and recieves &95.00 in tips how much less in tips did she receive if she had gotten her 15% of the cost of meals
Answers
Answer:
She receives $47.5 less
Step-by-step explanation:
Now, the first thing to do here is to calculate what 15% if the total amount is
That would be 15/100 * 950 = $142.5
The amount she receives less is thus $142.5 -$95 = $47.5
Answer:
The amount less that she received than if she had received 15% of the cost of the meal is $47.5
Step-by-step explanation:
Here we have the amount of dinners served by the waitress = $950
Amount received in tips = $95.00
Amount the waitress would have received if she had gotten 15% of the cost of meals served = 15/100 × $950 = $142.5
Therefore, since she received $95.00, the amount less that she received than if she had received 15% of the cost of the meal is thus;
$142.5 - $95 = $47.5.
Which equation demonstrates the additive identity property?
(7 + 4i) + (7-4i) = 14
(7 + 4i) + 0 = 7 + 4i
(7 + 4i) ( 1 ) = 7 + 4i
(7 + 4i) + (-7- 4i) = 0
Answers
the answer for the question is b! :)
Which statement about the parabola is not true?A. The focus lies on the axis of symmetry.B.The directrix of the parabola is parallel to the axis of symmetry.C. Each point on the parabola is equidistant from the directrix and the focus
Answers
Answer:
Option B
The directrix of the parabola is parallel to the axis of symmetry
Step-by-step explanation:
The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.
A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.
The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.
The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.
We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"
So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.
For a general parabola:
y = a*x^2 + b*x + c
The line of symmetry is at:
x = -b/2a
While we know that in a parabola the directrix is a horizontal line.
So the axis of symmetry and the directrix are perpendicular lines.
Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"
If you want to learn more, you can read:
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solve the following
2(X+3)=X-4
Answers
Answer:
2(x+3)=x-4
2x+6=x-4
2x-x=-4-6
x=-10
2x+6=x-4
2x-x=-4-6
x=-10
Please answer this question
x^2 = 11x
Answers
[tex] {x}^{2} = 11x \\ {x}^{2} - 11x = 0 \\ x(x - 11) = 0[/tex]
Product is equal to 0 when one of multipliers is equal to 0, so
[tex]x = 0[/tex]
Or
[tex]x - 11 = 0 \\ x = 11[/tex]
Answer: x=0 or x=11
Answer:
Step-by-step explanation:
x^2 = 11x
x ( x − 11 ) = 0
x = 0 (by transposing)
x − 11 = 0
x=11 (by transposing)
therefore, x= 0,11
Hope it Helps...pls Mark as Brainliest!!
Write an inequality for each sentence.
The elephant weighs more than 12,000 pounds.
Answers
Answer:
e > 12000 pounds
Step-by-step explanation:
Since the elephant weighs over 12000 pounds it would not be greater than or equal to or less than or less tan or equal to so
if elephant = e than
e > 12000 pounds
pls pls pls pls pls pls pls pls pls pls help
an airplane takes off from an airport at 11 am. fifteen minutes later, its shadow is 360000 feet away from the take off point and its altitude is 24000 ft. what is the exact distance the plane traveled in 15 minutes
Answers
Answer:
what grade are you in so i can help
Step-by-step explanation:
Step 2: Radii OK and NL are perpendicular to OM because of the radius-tangent theorem. By definition of perpendicular, angles KOM and LNM are right angles. This means that triangles KOM and LNM are right triangles. Angle LMN is common to both right triangles, so by the _________________________, triangles KOM and LNM are similar. please fill in the blank
Answers
Answer:
AAA postulate.Step-by-step explanation:
Givens
Angles KOM and LNM are congruent, because both are right.Angle LNM is common to both triangles.If two internal angles of two triangles are congruent, then the third angle is also congruent.
Therefore, the similarity is proven by AAA postulate, which states that if we have three corresponding angles congruent, then those triangles are similar.
Remember that similarity is about proportion between sides and congruence between angles.
Find the volume of the cone khan academy
Answers
Answer:
V= 1/3 pi*r^2*
Step-by-step explanation:
The reason the volume of a cone involves using the fraction 1/3, is because it takes three cones to fill up a cylinder. So, if the volume of a cylinder is pi*r^2*h, and a cone is 1/3 the size, then the volume of a cone(which uses the same formula) has to have the 1/3rd in front.
How do I calculate this parent function of a linear function? The parent function of a linear function is y=x. When the parent function is changed to y=x+5, how does the graph transform?
Answers
Step-by-step explanation:
This only moves the linear function up 5 units. So, before the y-intercept and the x-intercept both was (0,0). Now, the y-intercept is (0,5) because the graph was shifted up 5 units.
hope this helps :)
Which arc measures 180°
А.
8
AE
BD
Answers
d or DC
Hope this helps!! :)
please Helps it’s urgent
Answers
Answer:
<1 and <3
Step-by-step explanation:
They are both symmetric
When you add fractions is the sum always greater than 1?
Answers
Answer:
Not always
Step-by-step explanation:
Some fractions, like 1/2, if you add it with 1/2, it equals one.
Halves will always equal one, and they are fractions too, so technically not all addition of fractions are greater than 1.
hope this helped
Find the area of the shape
(sorry if im asking too many questions)
Answers
Answer:
E. 54
Step-by-step explanation:
To find the area just multiply the base times the height. In this problem it would just be 6x9= 54.
Answer:54 cm ^2
Step-by-step explanation:
9 times 6 is 54
How do u find the unknown angle measure in a triangle
Answers
Answer:
Use the sum of angle measures rule.
Step-by-step explanation:
If you are given two angles and one missing angle, it's good to remember that all angles add up to 180°.
You can add the the given angles measurements, and subtract them by 180. You should then get the missing angle measure.
Brainilest Is Appreciated.
Mrs. Dominguez asked her students to plot the number of books they read over the summer.
Using the dot plot, how many students read two books?
1
2
3
6
Answers
Answer:
6
Step-by-step explanation:
Answer:
6 students read 2 books
fathi has $1.10 in his printing account. each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each sides of the sheet.
Answers
Answer:
IF THE question is After Fathi prints, what will be the balance in his printing account?
then it is: $1.9
There are 47 pages.
Printing on both sides would divide the number of pages into half.
47/2 = 23.5
2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.
23.5/2 = 11.75
There cannot be 11.75 pages so we will round it up to 12 pages.
Each page costs $0.25 so 12 pages will cost:
12 x 0.25 = $3
Faithi has $1.1 so new account balance will be:
1.1 - 3 = $-1.9
Therefore, Fathi's balance in his printing account would be negative $1.9.
Answer:
The answer is $-1.90
i need help i don't understand can someone help me plz :)
Answers
The answer is B. Why?
Find the equation of the line parallel to 2y-3x= 4 and passing through the point (6,7)
Answers
Answer:
We have equation of a line:
2y - 3x = 4 => y = (3/2)x + 4
The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and
a = 3/2
6a + b = 7
=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2
=> The equation of that line: y = (3/2)x - 2
Hope this helps!
:)
Examine the equation. –3x + 18 = 7x What could you do to isolate the variable term to one side of the equation? Add 3x to both sides. Subtract 3x from both sides. Add 18 to both sides. Subtract 18 from both sides.
Answers
Answer:
You would add 3x to both sides. Then divide by 10 on both sides.
What to do to isolate the variable term to one side of the equation is to add 3x to both side
Given the equation, -3x + 18 = 7x, we need to isolate the variable term. To do that, we will follow the steps below;
Add 3x to both sides of the equation to have;
-3x + 18 + 3x = 7x + 3x
18 = 7x + 3x
Swap sides
7x + 3x = 18
10x = 18
Divide both sides by 10
10x/10 = 18/10
x = 1.8
From the steps above, what to do to isolate the variable term to one side of the equation is to add 3x to both side
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Solve the equation.
6+q=1
Answers
Answer:
-5
Step-by-step explanation:
6 - 5 = 1
so 6 + -5 is also equal to 1
Answer:
q = -5
Step-by-step explanation:
Step 1 : Simplify: 6/q
Step 2 :
Rewriting the whole as an Equivalent Fraction
Equation at the end of step 2 :
(6 - q)
——————— - 2 = 0
q
Step 3 :
Rewriting the whole as an Equivalent Fraction
Step 4 :
Pulling out like terms
Answer: q = -5
Hope this helps.
Trigonometry!! Please Help picture attached
Answers
Answer:
[tex]\sin B=\dfrac{3\sqrt{58}}{58}[/tex]
[tex]\cos B=\dfrac{7\sqrt{58}}{58}[/tex]
[tex]\tan B=\dfrac{3}{7}[/tex]
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is[tex]\frac{3}{\sqrt{58}}=\frac{3\sqrt{58}}{58}[/tex]. The cosine is the adjacent side divided by the hypotenuse, which in this case is [tex]\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}[/tex]. The tangent is the length of the opposite side divided by the length of the adjacent side, which in this case is simply [tex]\frac{3}{7}[/tex]. Hope this helps!
If f(x)=5x2−3x+8, find f(0)
Answers
Answer:
8
Step-by-step explanation:
f(x)=5x^2−3x+8
Let x=0
f(0) = 5(0) -3(0) +8
= 8
In ΔIJK, the measure of ∠K=90°, JK = 90 feet, and KI = 54 feet. Find the measure of ∠I to the nearest tenth of a degree.
Answers
9514 1404 393
Answer:
∠I = 59.0°
Step-by-step explanation:
The applicable trig relation is ...
Tan = Opposite/Adjacent
tan(I) = JK/KI = 90/54
I = arctan(90/54) ≈ 59.04°
The measure of angle I is about 59.0°.
Use a net to find the surface area of the prism 8 in 6 in 15 in
Answers
vvvvvvv help me plzzzzzzzzzzzzzzz
Answers
Answer:
the answer is 0
Step-by-step explanation:
she had -27 in her bank the she added 27
F(x)=x^2 what is g(x)
Answers
Answer:
10
Step-by-step explanation:
You have to get 10 because g(x) means 5 so you multiply it by two.
Answer
The answer is (1/3x)^2
Step-by-step explanation:
g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4
