Answer:
11
Step-by-step explanation:
55/5=11
2. What is the formula for circumference of a circle (using radius instead
of diameter)?
Please help!!
Only find total surface area and volume.
Answer:
see explanation
Step-by-step explanation:
The triangular prism has 3 rectangular faces and 2 congruent triangular faces.
rectangular base CDEF = 8 × 2 = 16 cm²
rectangular side ABFE = 6 × 2 = 12 cm²
sloping rectangle ABCD = 10 × 2 = 20 cm²
2 triangular faces = 2 × [tex]\frac{1}{2}[/tex] × 8 × 6 = 48 cm²
Total surface area = 16 + 12 + 20 + 48 = 96 cm²
----------------------------------------------------------------------
The volume (V) of the prism is calculated as
V = Bh ( B is the area of triangular face and h the depth of the prism )
B = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 cm² and h = 2 cm
V = 24 × 2 = 48 cm³
If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 100°, then ∟BOA is equal to ____________
pls answer fast
Answer:
[tex] m\angle BOA = 80\degree[/tex]
Step-by-step explanation:
PA and PB are tangents to the circle with center O at points A and B respectively.
[tex]\therefore OA \perp PA\:\: \& OB \perp PB....(\because tangent\perp radius)\\\therefore m\angle OAP=m\angle OBP = 90\degree\\m\angle APB = 100\degree\\OAPB \: is \: a\: quadrilateral\\\therefore m\angle APB+m\angle OAP+m\angle OBP+m\angle BOA = 360\degree\\\therefore 100\degree + 90\degree+ 90\degree+ m\angle BOA = 360\degree\\\therefore 280\degree + m\angle BOA = 360\degree\\\therefore m\angle BOA = 360\degree-280\degree \\\huge\red{\boxed{\therefore m\angle BOA = 80\degree}}[/tex]
Which number is farthest from 1 on the number line?
start root 1.2 EndRoot
start root 1.3 EndRoot
start root 1.4 EndRoot
start root 1.5 EndRoot
Answer:
start root 1.5 EndRoot
Answer:
d
Step-by-step explanation:
what is the area of the parallelogram shown below
Answer:
please add an image my bro
Step-by-step explanation:
we cant answer without knowing what it looks like
Answer:
answer my questions also
Step-by-step explanation:
simplifye this expression 54n + 78 divided by 6 =
Answer:
9n + 13
Step-by-step explanation:
(54n + 78)/6
Divide 6 from all terms within the parenthesis:
(54n)/6 = 9n
(78)/6 = 13
9n + 13 is your answer.
~
Answer: 54n+13
Simplify
78÷6=13
54n+78/6=54n+13
In which figure is point G an orthocenter? Triangle A B C is a right triangle. Lines are drawn from each point to the opposite side and intersect at point G. Triangle F D E is shown. Lines are drawn from each point to the opposite side and intersect at point G. The lines cut each side into 2 equal parts. Triangle L M N is shown. Lines are drawn from each point to the opposite side and intersect at point G. Each angle has a different measure. Triangle H J K is shown. Lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G.
Answer:
the Answer is D just got it right hope this help you
Step-by-step explanation:
The 4th figure is the correct option, i.e. triangle H J K, in which lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G with G is an orthocentre.
What is orthocentre?The orthocenter denotes the intersection of all right angles extending from the vertices to the opposite sides, i.e. the altitudes. The term ortho means "right," and it is defined as the point at which three altitudes are drawn from the three vertices of a triangle intersect.
How to solve this problem?From the definition, it is clear that the lines must make right angles and intersect at G. The first three figures do not meet the criteria of orthocentre.
Therefore the 4th figure is the correct option, i.e. triangle H J K, in which lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G with G is an orthocentre.
Learn more about orthocentre here -
https://brainly.com/question/24266441
#SPJ2
What is 30% as a decimal
Is the relation shown in the arrow diagram a function? Explain.
A No, each input has one output, so the diagram does not represent a function.
B Yes, the input 2 has two outputs, so the arrow diagram represents a function.
C Yes, the inputs 1, 5, and 11 have one output, so the arrow diagram represents a function.
D No, the input 2 has two outputs, so the arrow diagram does not represent a function.
Answer:
D
Step-by-step explanation:
Each input can not have 2 outputs or else it’s not a function. 2 maps to 21 and 42. It MPs to two outputs. It’s not a function
Find the volume of the composite figure round to the nearest tenth
Answer: [tex]1460.96ft^3[/tex]
Step-by-step explanation:
You have a cylinder and a cuboid. Find each of these figures' volume individually and add them together.
Cylinder:
height = 4ft
radius = 4ft
[tex]Formula: V=\pi r^2h[/tex]
[tex]V=(3.14)(4ft)^2(4ft)\\V=(3.14)(16ft^2)(4ft)\\V=(3.14)(64ft^3)\\V=200.96ft^3[/tex]
---------------------------------------------------------------------------------------------------
Cuboid:
[tex]Formula: V = l*w*h[/tex]
[tex]V=(15ft)(7ft)(12ft)\\V=1260ft^3[/tex]
------------------------------------------------------------------------------------------------------
Add these two volumes together.
[tex]200.96ft^3+1260ft^3=1460.96ft^3[/tex]
What is the probability of rolling an EVEN number on a 6 sided cube (die) with the numbers 1-6 on the six sides?
Answer:
The probability is 1/2 because 3/6 numbers are even.
Step-by-step explanation:
Find the area. Photo Attached
Answer:
Area of Regular Polygon: ( About ) 716.6 m^2; Option B
Step-by-step explanation:
~ In this situation we can apply the formula 1/2 * a * P, provided a ⇒ apothem, and P ⇒ Perimeter of the shape ~
Here we are not directly provided with the apothem, so we have to first plan out our procedure step-by-step:
Let us first divide this dodecagon into 12 triangles, each equilateral provided that this is a regular polygon ( implied ). Now let us draw an altitude to one of these triangles, and provided these are equilateral triangles Coincidence Theorem can be applied to this specific triangle. That would mean this altitude is both an angle bisector and a median, which can help us determine the tan degree of the mini triangle formed by the altitude, and the length of one of the sides of this mini triangle.
1. Knowing that the altitude splits the base of the triangle into the two congruent parts ⇒ one of the congruent parts should be ⇒ 8/2 = 4 meters
2. Now the triangles formed through spliting this figure are all ≅, so one of the angles of the triangle is 360/12 = 30 degrees. The mini triangle formed should thus have a measure of 30/2 as the altitude is an angle bisector ⇒ tan 15.
3. From this you can create a proportion, with a ⇒ apothem:
tan 15/ 1 = 4/a ⇒ tan 15 * a = 4 ⇒ a = 4/tan 15° ⇒ a = ( About ) 14.93
4. The perimeter of this shape would be 8 * 12 ⇒ 96 meters
5. Now let us solve for the area of this regular polygon through substitution into the formula 1/2 * a * P ⇒ 1/2 * 14/93 * 96 = ( About ) 716.64 meters^2
Answer ⇒ Area of Regular Polygon: ( About ) 716.6 m^2
The volume of box A is 60, and the volume of box B is half the volume of box A. What is the height of box B, a?
Answer: The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..
Step-by-step explanation:
The product of two binomials, u(x) and v(x), is a binomial of degree 8 with a positive leading coefficient. What must be true about the sum of u(x) and v(x)?
Answer:
From the above conclusion, it can be inferred that sum of u(x) and v(x) is a binomial of degree 4 with a positive or negative leading coefficient depending on the value of the constant 'a'Step-by-step explanation:
If the product of two binomials, u(x) and v(x)has a binomial of degree 8, then the individual binomial will have a binomial of degree 4. For example, lets assume u(x) = ax⁴ + bx and v(x) ax⁴+cx. Note that they are both functions of x and contain only two terms since they are binomial.
Taking their product we have;
u(x)*v(x) = (ax⁴ + bx)*(ax⁴+cx)
u(x)*v(x) = a²x⁸+acx⁵+abx⁵+bcx²
it can be seen that the higest power of x is 8 which gives the degree of the product.
Taking their sum;
u(x)+v(x) = (ax⁴ + bx)+(ax⁴+cx)
u(x)+v(x) = ax⁴ + ax⁴+ bx +cx
u(x)+v(x) = 2ax⁴ + bx +cx
It can be seen that the digest power of x is 4 which gives the degree of the sum of the binomial.
From the above conclusion, it can be inferred that sum of u(x) and v(x) is a binomial of degree 4 with a positive or negative leading coefficient depending on the value of the constant 'a'
What is the correct equation for the line in slope-intercept form?
Answer:
y = -5x + 35
Step-by-step explanation:
You have two points: (0, 35) and (7, 0).
The slope is [tex]\frac{0-35}{7-0}=-5[/tex]
The y intercept is 35.
y = -5x + 35
Answer
Step-by-step explanat
100 points.
Plz complete question 2 only.
Answer:
see below
Step-by-step explanation:
2 1/2+ 3 3/16 + 7/8
Get a common denominator of 16
2 8/16 + 3 3/16 + 14/16
5 25/16
5 + 16/16 + 9/16
6 9/16
Subtract this from 8 ft
8 - 6 9/16
Borrow 1 from 8 in the form of 16/16
7 16/16 - 6 9/16
1 7/16
b 1 7/16 - 1 1/3
The common denominator is 48
1 21/48 - 1 16/48
5/48
Answer:
2a) [tex]1\frac{7}{16}[/tex]
2b) [tex]\frac{5}{48}[/tex]
Step-by-step explanation:
The first thing we need to do is add all the fractions together so,
2a) [tex]2\frac{1}{2} +3\frac{3}{16}+\frac{7}{8}[/tex]
We need to find the LCM of the denominators in order to properly add the fractions together so the LCM is 16
[tex]2\frac{1}{2} +3\frac{3}{16}+\frac{7}{8}[/tex] = [tex]2\frac{8}{16} +3\frac{3}{16} +\frac{14}{16} = 5\frac{25}{16} =6\frac{9}{16}[/tex]
Now we subtract this from 8 as asked in the question,
[tex]8-6\frac{9}{16} =\frac{8}{1} -\frac{105}{16} =\frac{128}{16} -\frac{105}{16}=\frac{23}{16} =1\frac{7}{16}[/tex]
2b) We are asked to minus the fraction [tex]1\frac{7}{16}[/tex] from [tex]1\frac{1}{3}[/tex]
Find the common denominator which is 48
[tex]1\frac{7}{16} -1\frac{1}{3} =1\frac{21}{48} -1\frac{16}{48} =\frac{5}{48}[/tex]
The perimeter of the semicircle is 25.71 cm. Calculate the value of radius x. Take pi to be 3.142
Answer:
5 cm
Step-by-step explanation:
[tex]Perimeter of semicircle = \frac{1}{2} \times 2\pi \: x +2x\\ 25.71 = 3.14 2\times x+ 2x\\ 25.71 = 5.14 2 x\\ x = \frac{25.71}{5.142} \\ x = 5 \: cm[/tex]
Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. Right Triangle Not a Right Triangle 10.5 cm, 20.8 cm, 23.3 cm6 cm, 22.9 cm, 20.1 cm
Answer:
Right Triangle-10.5 cm, 20.8 cm, 23.3 cmNot a Right Triangle-6 cm, 22.9 cm, 20.1 cmStep-by-step explanation:
Given the sets of side lengths of a triangle:
10.5 cm, 20.8 cm, 23.3 cm6 cm, 22.9 cm, 20.1 cmTo verify whether each set of side lengths could be the sides of a right triangle, we use the Pythagorean Theorem. Note that the longest side is always taken as the hypotenuse.
Pythagoras Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]In the set of side lengths 10.5 cm, 20.8 cm, 23.3 cm
[tex]23.3^2=20.8^2+10.5^2\\542.89=432.64+110.25\\542.89=542.89[/tex]
Clearly these satisfies the required theorem and thus are side lengths of a right triangle.
In the set of side lengths 6 cm, 22.9 cm, 20.1 cm
[tex]22.9^2=20.1^2+6^2\\524.41\neq 440.01[/tex]
Clearly these does not satisfy the required theorem and thus are not side lengths of a right triangle.
10 cm
8 cm
6 cm
What is the value of tan xº?
what is the value of tan x
This question is incomplete because it lacks the appropriate diagram.
Please find attached to this answer , the appropriate diagram
Answer:
First option tan x° = 8 ÷6
Step-by-step explanation:
When we solve for angles in a right angled triangle or we are trying to find one if the sides of a right angled triangle, we used trigonometric functions to find our answers. These trigonometric functions include Sine (sin) , Cosine (cos) and Tangent (tan)
Tangent also called short form tan is used when solving problems involving a right angled triangle.
A right angled triangle has 3 sides, the Hypotenuse, the opposite side and the adjacent side.
When we are asked to find the tangent of an angle,
tan = Opposite side / Adjacent side
In the question above, we are asked to find tan x° where x is the angle.
The opposite side = 8cm
The adjacent side = 6cm
Therefore, tan x° = 8cm/6cm = 8cm ÷ 6cm
5 friends plan to split a restaurant Bill evenly. The total cost of the meal is $89.75, and they want to leave a 20% tip. what amount should each friend pay?
Answer:
£17.51
i used try and error
What is the expression of 3/4 percent divided between 7/4 and 2/4?
Answer:
85.714285 reapeating
Step-by-step explanation:
2. How many times smaller is the surface area of a sphere if the radius is multiplied by 1/2?
If a number is multiplied by 1/2, this means that it strinks 2 times.
For example, we have the radius of 4.
If multipled by 1/2, we get 2.
So, the radius is now 2 times smaller than the original radius.
So, the radius of the sphere will be 2 times smaller than what it originally was.
Best of Luck!
PLEASE HELP ME ASAP
Given circle O, find the value of x .
Answer:
278
71.5 for triangles
Step-by-step explanation:
Because 32 + 45 = 82
its a circle so a circle is 360 degrees
so 360 - 82 =
278
Triangles: 180 - 37 then 143 ÷ 2 = 71.5
Your welcome!!
Please help it is about precent of change. ( highest number of points )
14 books to 40 books. Tell me the precent of change.
Answer:
185.714% increase
Step-by-step explanation:
Solution:
Calculate percentage change
from V1 = 14 to V2 = 40
(2−1)|1|×100
=(40−14)|14|×100
=2614×100
=1.85714×100
=185.714%change
=185.714%increase
Lincoln and Natalie are workers in a factory making widgets. Lincoln can make 25 widgets per day in the factory. Natalie is able to produce 8% more widgets per day than Lincoln. How many widgets can Natalie make per day?
Answer:
27 widgets
Step-by-step explanation:
25÷100=0.25=1%
0.25×8=2=8%
25+2=17
Two numbers have a sum of 32 and a difference of 6. Find two numbers.
How to do this question
Answer:
Length of the shorter diagonal is 8.68 cm.
Step-by-step explanation:
Length of the side AB = 11 cm
Length of side BC = 5 cm
Angle between these sides, m∠ABC = 50°
By cosine rule in ΔABC,
AC² = AB² + BC² - 2AB.BC.cos B
AC² = (11)² + 5² - 2(11)(5)cos50°
AC² = 121 + 25 - 70.71
AC = √(75.29)
AC = 8.68 cm
By the property of parallelogram,
m∠B + m∠C = 180° [Interior consecutive angles]
50° + m∠C = 180°
m∠C = 130°
Similarly, In ΔBCD,
BD² = BC² + CD² - 2BC.CD.cos130°
BD² = (5)² + (11)² - 2(5)(11)cos130°
BD² = 25 + 121 + 70.71
BD² = 216.71
BD = 14.72 cm
Therefore, length of the shorter diagonal will be 14.72 cm.
Au dépanneur, six conserves de maïs et deux boîtes de pâtes coûtent au plus 15,75 $. Indiquez le prix possible de la boîte de pâtes si une conserve de maïs coûte 0,50 $ de plus que la moitié du prix d’une boîte de pâtes.
Answer:
$ 2.55 or less
Step-by-step explanation:
We have if they buy 6 cans of corn and 2 boxes of pasta are priced at $ 15.75 or less, they also tell us that the price of a can of corn is $ 0.50 + half the price of a box of pasta. Let's formulate the equation, let "x" be the cost of the can of corn and "y" be the cost of the box of pasta.
6 * x + 2 * y <= 15.75
x = 0.5 + y / 2
replacing:
6 * (0.5 + y / 2) + 2 * y <= 15.75
3 + 3 * y + 2 * y <= 15.75
5 * and <= 15.75-3
y <= 12.75 / 5
y <= 2.55
replacing in x:
x = 0.5 + 2.55 / 2 = 1.775
Which means that the price of a can of corn is $ 1,775 and for the box of pasta it is $ 2.55 or less.
Answer:
The answer is 2.55
Step-by-step explanation:
hope this helps
PLs ANSWER EASY 10 points
Answer:
2 2/5 miles^2
Step-by-step explanation:
For this you have to times the mixed fractions
So....
1 1/5 x 1 1/5
Rewrite it as this 1 + 1/5 + 1 + 1/5
Add the two whole numbers:
1 + 1 = 2
Now the fractions:
1/5 + 1/5 = 2/5
Then:
2 + 2/5 = 2 2/5
What’s the answer guys
Answer:
27/28
Step-by-step explanation: