Answer:
D. 384 units²
Step-by-step explanation:
Hey there!
Well a right square prism's bases are squares meaning the area of the base is 64 units².
Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.
Now we only have 4 sides to find the area of,
h = 12
l/w = 8
A = (12*8) * 4
A = 96 * 4
LSA = 384 units²
Hope this helps :)
The lateral surface area of the given prism of length 12 and its base has a side of length 8 is 384 [tex]units^{2}[/tex]
What is Lateral surface area?The lateral surface area of an object is the total area of its sides excluding its top and the bottom.
What is a right square prism?A right square prism is a prism having four sides as rectangle and two sides as squares as its bases.
How to find the lateral surface area of right square prism?The lateral surface area of right square prism is equal to the area of the four rectangles only. So the formula is as follows:
Lateral surface area=4(length*breadth)
The altitude which is given to us of 12 will be the breadth of the rectangles and the length of base of 8 will be the length of the rectangles. So,
Lateral surface area of right prism=4(12*8)
=4*96
=384
Hence the lateral surface area of right prism of altitude of length 12 and base has a side of length 8 is 384[tex]units^{2}[/tex]
Learn more about lateral surface area at https://brainly.com/question/17056543
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Move the center of rotation back to the origin (0, 0) of the coordinate plane. Now alter pentagon ABCDE by moving one or more line segments on the pentagon to a different location. Rotate the pentagon using the slider. How many times does the pentagon map back onto itself in this situation? What can you conclude about the kinds of polygons that can map back onto themselves? Describe them.
The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.
Step-by-step explanation:
Answer:
The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.
Step-by-step explanation:
Sample Answer
simplify- 13= 7x + 4 - 4x simplify- b - 6 + 6b = 27 simplify- 5(5x - 2) = 65 URGENT please answer i will give brainliest
Step-by-step explanation:
1: - 13= 7x + 4 - 4x
Isolate variables.
- 13= 7x + 4 - 4x
-13 = 3x + 4
-3x = 13+4
-3x = 17
x = -17/3
2: - b - 6 + 6b = 27
5b - 6 = 27
5b = 33
b = 33/5
3: - 5(5x - 2) = 65
-25x + 10 = 65
-25x = 55
x = -55/25
x = -11/5
A triangle has a base of (3x + 7) and a height of (5x - 1). A second
triangle is drawn with a base that is tripled and a height that is
doubled. Find the difference between the area of the original triangle
and the area of the new triangle.
Answer:
The difference between the area of the original triangle and the area of the new triangle is [tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex].
Step-by-step explanation:
The equation for the area of a triangle ([tex]A_{\bigtriangleup}[/tex]) is:
[tex]A_{\bigtriangleup} = \frac{1}{2}\cdot b \cdot h[/tex]
Where:
[tex]b[/tex] - Base, dimensionless.
[tex]h[/tex] - Height, dimensionless.
The expression for each triangle are described below:
First Triangle ([tex]b = 3\cdot x + 7[/tex], [tex]h = 5\cdot x - 1[/tex])
[tex]A_{\bigtriangleup,1} = \frac{1}{2}\cdot (3\cdot x+7)\cdot (5\cdot x -1)[/tex]
Second Triangle ([tex]b = 3\cdot (3\cdot x+7)[/tex], [tex]h = 2\cdot (5\cdot x -1)[/tex])
[tex]A_{\bigtriangleup,2} = 3\cdot (3\cdot x+7)\cdot (5\cdot x -1)[/tex]
The difference between the area of the original triangle and the area of the new triangle is:
[tex]\Delta A_{\bigtriangleup} = A_{\bigtriangleup,2}-A_{\bigtriangleup,1}[/tex]
[tex]\Delta A_{\bigtriangleup} = 3\cdot (3\cdot x+7)\cdot (5\cdot x-1)-\frac{1}{2} \cdot (3\cdot x+7)\cdot (5\cdot x-1)[/tex]
[tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex]
The difference between the area of the original triangle and the area of the new triangle is [tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex].
What is Equivalent to the square root of 16
Answer:
4
Step-by-step explanation: 4*4 is 16. 4^2 is 16. So the square root of 16 is 4.
Answer:
4
Step-by-step explanation:
4 times 4 = 16, therefore the square root of 16 must be 4
What’s 1/3 times 2/5
Answer:
[tex] \boxed{ \bold{ \huge{ \sf{ \frac{2}{15} }}}}[/tex]Step-by-step explanation:
[tex] \sf{ \frac{1}{3} \times \frac{2}{5} }[/tex]
▪️To multiply one fraction by another , multiply the numerators for the numerator , and multiply the denominators for its denominator.
⇒[tex] \sf{ \frac{1 \times 2}{3 \times 5} }[/tex]
⇒[tex] \sf{ \frac{2}{15} }[/tex]
Hope I helped!
Best regards!
Graph the interval represented in interval notation on the number line.
(-Infinite, -4] U [6, infinite)
Answer:
The upper reason is your answer.....
What’s the value of X in this triangle
Answer:
x = 85
Step-by-step explanation:
Step 1: Solve x
∠x = 180 - 27 - 68
∠x = 85
Therefore angle x equals 85
Answer:
85 degrees
Step-by-step explanation:
The sum of the angles of a triangle always add up to 180 degrees.
Here, we have two angles already given, so we can write:
27 + 68 + x = 180
95 + x = 180
Subtract 95 from both sides:
x = 180 - 95 = 85
The answer is thus 85 degrees.
~ an aesthetics lover
4. Using the digits 1 to 9, at most one time each, fill in the boxes to
make a result that has the greatest value possible. HELP PLEASE
Answer:
9^3
Step-by-step explanation:
9x9x9= 729
4(-8x+5) - (-33x-26)
Answer:
Step-by-step explanation:
Use distributive property a(b+c) = a*b +a*c
4(-8x + 5) - (-33x - 26) = 4*-8x + 4 *5 - 33x * (-1) - 26*(-1)
= -32x + 20 + 33x + 26
{add like terms}
= -32x + 33x + 20 +26
= 1x + 46
True or False
15. (True or False) Any 3 distinct points are always coplanar.
16. (True or False) Any 2 distinct circles are always coplanar.
17. (True or False) If 2 lines intersect once then the lines are coplanar.
18. (True or False) Two lines that are skew can sometimes intersect.
19. (True or False) An angle and a circle can have more than 3 intersections
20. (True or False) Two distinct circles can have more than 2 intersections.
21. (True or False) Any given line and point are always coplanar.
Answer:
15. True
16. False
17. True
18. False
19. True
20. False
21. True
Step-by-step explanation:
15. The three points can be taken as being two points on a line adjacent to a point which always forms a plain when the ends of the line are connected to the point
16. The two circles can be on different planes
17. With one line fixed, the other line can be rotated until both lines are in the flat plane
18. The definition of skew lines are lines in different planes that are not parallel and that do not intersect
19. Whereby the angle crosses the circumference of the circle twice, the number of intersections = 4
20. Two distinct circles can only intersect twice
21. A plane can always be drawn with any three points
why are halves a good choice for benchmark fractions for 1 1/3
Answer:
Following are the answer to this question:
Step-by-step explanation:
For calculating, matching, or arranging certain fractions, the benchmark fraction can be described as common fractions, that can be calculated or judged. It is most useful when measuring fractions to comparisons in a number line.
Given value:
[tex]\to 1 \frac{1}{3}[/tex] [tex]= 1+\frac{1}{3} \\[/tex]
[tex]= 1+ \frac{1}{6}+\frac{1}{6}\\[/tex]
Find the value of a. Then find the angle measures of the polygon.
a =
26
(2aº caº
a
Sum of angle
measures: 360°
Answer:
In the given quadrilateral, two angles measure 60° and other two angles measure 120°.
Step-by-step explanation:
As we know sum of all interior angles of a polygon with 'n' sides is,
Sum of interior angles = (n - 2) × 180°
= (4 - 2) × 180° [for a polygon with n = 4]
= 360°
a + a + 2a + 2a = 360°
6a = 360°
x = 60°
Measure of angles = a° = 60°
And angles having measure = 2a° = 2(60)°
= 120°
Therefore, in the given quadrilateral, two angles measure 60° and other two angles measure 120°.
What is this decimal expressed as a percent?
Answer:
13%Step-by-step explanation:
To fraction ;
[tex]0.13=\frac{0.13\times \:100}{100}\\\\=\frac{13}{100}[/tex]
To percentage
[tex]\frac{0.13}{1}\times \frac{100}{100}\\ \\= 13/100\\\\= 13\%[/tex]
Find the measure of APBˆ. A. 130 B. 63 C. 50 D. 230
Answer:
65
Step-by-step explanation:
TAB is an isosceles triangle by the point to tangent theorem theorem.
BAT and BAT are congruent because of the isosceles triangle definition.
CAT and ABT are right angles by the tangent theorem.
Thus, CAB and CBA are both 90 - 65 = 25.
ACB is 130 because triangles' angles add up to 180.
APB is one half of ACB by the inscribed angles theorem.
The measure of the arc APB will be 230°. Then the correct option is D.
What is a circle?
It is the circle of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
We know that the tangents are equal.
Then triangle ΔATB is an isosceles triangle.
Then the angle ∠TAB and angle ∠TBA are congruent.
We know that the angle sum of a triangle is 180°.
∠TAB + ∠TBA + ∠ATB = 180°
65° + 65° + z = 180°
z = 50°
We know that the radius and tangent of circle make 90°.
And the angle sum of quadrilateral is 360°.
∠TAC + ∠TBC + ∠ATB + ∠ACB = 360°
90° + 90° + 50° + y = 180°
y = 130°
Then the measure of the arc APB will be
x = 360° – 130°
x = 230°
The measure of the arc APB will be 230°.
Then the correct option is D.
More about the circle link is given below.
https://brainly.com/question/11833983
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The product of six and a number increased by six?
Answer: 6•(n+6)
Step-by-step explanation:
n is number
can be any letter
Answer:
6(n+6)
Step-by-step explanation:
the product means multiplication so you're going to need to multiply 6 by the number increased by 6. n represents the number, so n increased by 6 would be n+6. the parentheses represent the multiplication. put it together and you get the answer 6(n+6)
What are the next three terms in this arithmetic sequence? 33, 27, 21,...
A: 15, 9, 3
B: 14, 8, 2
C: 15, 9, 2
D: 15, 10, 5
Answer:
15,9,3
Step-by-step explanation:
Round 96.1825899389 to 4 decimal places.
Answer:
96.1826
Step-by-step explanation:
to make that decimal numbers in 4 decimal places, then you count the number at the right hand side after the point, when u get to the 4th digit, you stop, then if the 5th digit is more than 4, they you add 1 to the 4th digit and there u have 96.1826
The Round 96.1825899389 to 4 decimal places will be 96.1826
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
We need to Round 96.1825899389 to 4 decimal places.
To make that decimal numbers in 4 decimal places, then we count the number at the right hand side after the point, when u get to the 4th digit.
Therefore, the Round 96.1825899389 to 4 decimal places will be 96.1826
Learn more about rounding numbers here:
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Which statement is NOT true about elements of
the set of rational numbers?
F All integers are elements of the set.
G Elements of the set include repeating and
terminating decimals.
H All elements of the set can be written as a
ratio , where b# 0.
J The numbers i and V3 are elements of the
set.
Answer:
The numbers i and V3 are elements of the set.
Step-by-step explanation:
The rational numbers are those which can be written as fractions. These are the numbers which can be repeating elements and terminating decimals. All integers can be set of rational numbers. The statements which is not true is statement which states that numbers i and V3 are elements of the set.
x-intercept: 3
y-intercept: 2
Answer:
y = -2/3x + 2
Step-by-step explanation:
Hey there!
Well since we already got the y-intercept to find slope we'll use the points,
(3,0) and (0,2).
Formula: [tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]
Plug in the given points,
[tex]\frac{2 - 0}{0 - 3}[/tex]
Slope = -2/3
Slope-intercept: y = -2/3x + 2
Hope this helps :)
Answer:
y = -2/3x + 2 or
2x + 3y = 6 (standard form).
Step-by-step explanation:
I am assuming you want the equation of the straight line that passes through these 2 points.
The 2 points are (3, 0 ) and (0, 2).
The slope of the line = (2 - 0) / (0 - 3)
= -2/3.
The equation is y = -2/3x + 2 ( as 2 is the y-intercept).
In standard form this is :
3y = -2x + 6
2x + 3y = 6.
what is 6, 400 written in scientific nation?
Answer:
6.4 x 10 to the power of 3
Step-by-step explanation:
always have 1 number after the decimal point and then times by ten to the power of 3.
Answer:
64x10²
Just move it to the left 2 times.
Find the missing number to make these fractions equal.
Answer:
66/8 = 3/4Step-by-step explanation:
Let the unknown number be x
[tex]\frac{3}{4} = \frac{x}{8} \\\\Cross \: Multiply\\4\times x = 3 \: \times 8\\\\4x =24\\\\Divide \:both\:sides \:of\:the\:equation\: by\: 4\\\frac{4x}{4} = \frac{24}{4} \\\\x = 6[/tex]
Answer:
6
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] = [tex]\frac{?}{8}[/tex]
The 4 on the denominator is multiplied by 2 to obtain 8
The same operation must be applied to the numerator to make them equal.
Thus
3 × 2 = 6
[tex]\frac{3}{4}[/tex] = [tex]\frac{6}{8}[/tex] ← are equal fractions
the ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. if the first number of the ratio is 10, what is the second number? justify your reasoning.
Answer:
10:40
Step-by-step explanation:
3x4 = 12
4 x 4 = 16
5 x 4 = 20
so 10 x 4 = 40 (10:40)
Answer:
10:40
Step-by-step explanation:
Step 1: Reduce ratio to lowest value
3 : 12 = 1 : 4
*Divide by 3
Step 2: Solve ratio
Let 'x' represent the second number
1 : 4 = 10 : x
Multiple the left side by 10
10 : 40 = 10 : x
Therefore the second number in the ratio with 10 is 40
Use the x-intercept method to find all real solutions of the equation.
x^3-6x^2+3x+10=0
Answer:
x=-1 or 5 or 2
Step-by-step explanation:
x³-6x²+3x+10=0
(x+1)(x-5)(x-2)=0
x+1=0 ⇒ x=-1
x-5=0 ⇒x=5
x-2=0 ⇒ x=2
Find t12 for a geometric sequence where t1=2+2i and r=3
Answer:
[tex]T_{12} = 354294 + 354294i[/tex]
Step-by-step explanation:
Given
Geometric Sequence (GP)
[tex]T_1 = 2 + 2i[/tex]
[tex]r = 3[/tex]
Required
Determine T₁₂
The nth term of a GP is calculated as thus;
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]n = 12[/tex]; [tex]r = 3[/tex] and [tex]a = T_1 = 2 + 2i[/tex]
Substitute these values in the above formula
[tex]T_{12} = (2 + 2i) * 3^{12-1}[/tex]
[tex]T_{12} = (2 + 2i) * 3^{11}[/tex]
[tex]T_{12} = (2 + 2i) * 177147[/tex]
Open the bracket
[tex]T_{12} = 177147 * 2 + 177147 * 2i[/tex]
[tex]T_{12} = 354294 + 354294i[/tex]
Hence, the 12th term of the sequence is [tex]T_{12} = 354294 + 354294i[/tex]
The product of ten and a number
Answer:
10n
Step-by-step explanation:
n represents number, its like using X, since we don't have the information on it, we replace it with a letter.
Answer:
Let the number be n.
10× n =10n.
hope you got thè answer.
a circle has a radius of 7ft. Find the radian measure of the central angle 0 that intyercepts an arc of length 16ft
Answer:
2.29 rads
Step-by-step explanation:
The length of the arc of a circle of radius r is given by;
l = rθ ---------------------------(i)
Where;
l = length of the arc
θ = central angle o that intercepts that arc and measured in radians.
From the question:
l = 16ft
r = 7ft
Substitute these values into equation (i) as follows;
16 = 7θ
Make θ subject of the formula
θ = [tex]\frac{16}{7}[/tex]
θ = 2.29
Therefore, the radian measure of the central angle is 2.29 rads
How are the ratios 30:12 and 40:16 equivalent
Answer:
see explanation
Step-by-step explanation:
Given the ratio 30 : 12 ( divide both parts by 6 )
= 5 : 2
Given the ratio
40 : 16 ( divide both parts by 8 )
= 5 : 2
Thus the 2 ratios are equivalent and simplify to 5 : 2
1.1.17
Question Help
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
6/7
Answer:
whole number is the answer
a mouse runs across a 5.56 m kitchen floor in 3.42 seconds.What is the velocity of the mouse?
Answer:
v = 1.62 m/s
Step-by-step explanation:
Given that,
Distance covered by the mouse is 5.56 m is in 3.42 seconds.
We need to find the velocity of the mouse. It is equal to the total distance covered divided by time taken. So,
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{5.56\ m}{3.42\ s}\\\\v=1.62\ m/s[/tex]
So, the velocity is 1.62 m/s.
Which of these below correctly solves for y of the equation 3x - 2 = 4y + 5?
Answer:
I think the answer is
y= 3/4x - 7/4
(Not sure though)