Answer:
[tex]72.16 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]surface \: \: \: area \\ = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } \\ = {5}^{2} + 2 \times 5 \times \sqrt{ \frac{ {5}^{2} }{4} + {4}^{2} } \\ = 72.16 \: {units}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Angle YXZ is 57 degrees.
Angle VXW is 57 degrees.
Angle WXZ is 123 degrees.
Angle XVW is 56 degrees.
Angle XWZ is ? degrees.
Angle XZW is ? degrees.
Answer:
Angle XVW is 56 degrees.
Angle XWZ is 28.5 degrees.
Angle XZW is 28.5 degrees.
Step-by-step explanation:
bcuz yes :)
The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates. Eight of the candidates are members of the debate team.
(a) What is the probability that all of the offices are filled by members of the debate team?
(b) What is the probability that none of the offices are filled by members of the debate team?
Answer:
The probability that all of the offices are filled by members of the debate team is 0.0512 and the probability that none of the offices are filled by members of the debate team is 0.0256
Step-by-step explanation:
The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.
So, Number of candidates required = 4
Total number of candidates = 15
Number of candidates which are members of the debate team. = 8
So, Number of candidates which are not the members of the debate team = 15-8 =7
The probability that all of the offices are filled by members of the debate team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]
The probability that none of the offices are filled by members of the debate team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]
Hence The probability that all of the offices are filled by members of the debate team is 0.0512 and the probability that none of the offices are filled by members of the debate team is 0.0256
If the two angles are complementary, find the measure of each of angle.
Answer:
Step-by-step explanation:
If two angles are complementary, the sum of measures of two angles is 90
Using this, you can find the angles
Answer:
Two Angles (A and B) are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. This is:
A + B = 180
so
A=180 - B or
B=180-A
Examples:
• 60° and 30° are complementary angles.
• 5° and 85° are complementary angles.
Mouse population is 25,000 and is decreasing at a rate of 20% per year what is the population of mice after 3 years
Answer:
10,000
Step-by-step explanation:
3 years x 20% = 60%
60% of 25000 is 15000
25000 -15000 = 10,000
is the dilation en enlargement or a reduction? what is the scale factor of the dilation?
Answer:
The dilation is an enlargement, and the scale factor is 2. So, the answer is B.
Step-by-step explanation:
The dilation is an enlargement, and the scale factor is 2.
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
The image of the object undergoing transformation is given.
From the attached object, we se that CP = 4.
Also CP' = 8
Thus; Scale factor is 8/4 = 2
Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.
Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.
The scale factor of the given dilation is; 2 and the dilation is a enlargement.
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The coordinate of point E is 2 and the coordinate of point Fis 5. Find
the length of segment FE.
To find the length of FE subtract t E feom F
FE = 5-2 = 3 units long
Which of the diagrams below represents the statement if it is a square then it is a rectangle
Answer:
Plz show us the figures
Step-by-step explanation:
Answer:
The answer is Figure B.
Step-by-step explanation:
True or False? The following is an example of a proportion:
The temperature is 43 degrees at 8 A.M. and 65 degrees at 11 A.M.
True
False
Answer:
Step-by-step explanation:
What is the value of x?
Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
Answer:
x=30
Step-by-step explanation:
Mrs. Jackson gives the table below to her students.
In order for the function to be linear, what must a be and
why?
Х
4
5
6
y
26
23
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is -1.
a = 20 because the rate of change is -3.
a
Answer:
a = 20 because the rate of change is -3
Step-by-step explanation:
In order for the function to be linear, sequential values of x must match values of y that have the same first differences. Here, 23-26 = -3, so we must have a-23 = -3. That is to say, the value of "a" must be 20.
The "rate of change" is the ratio of the differences in y to the differences in x. Here, that is -3/1 = -3. The appropriate choice is ...
a = 20 because the rate of change is -3
IO
80
14x + 2
The figure is a parallelogram.
Solve for x.
'S
2
7
Answer:
x = 7
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, thus
80 + 14x + 2 = 180
14x + 82 = 180 ( subtract 82 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
In the given parallelogram QRST, x = 7°.
What are adjacent angles?In a quadrilateral, adjacent angles are the pair of angles, that come is formed by the intersection of any common line.
How do we solve the given question?In the question, we are shown a parallelogram QRST and are asked to find the value of x.
We know that ∠TQR and ∠QRS are adjacent, as they include a common side, QR.
∠TQR = 80°, ∠QRS = (14x + 2)°
Now, we know that adjacent angles of a parallelogram are supplementary, that is their sum = 180°
∴ ∠TQR + ∠QRS = 180°
or, 80° + (14x + 2)° = 180°
or, 14x = 180° - 80° -2° = 98°
or, x = 98°/14 = 7°
∴ In the given parallelogram QRST, x = 7°.
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I need help with congruence and similarity problem. ( picture below)
Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]
z = [tex]\frac{10\times 8}{12}[/tex]
z = [tex]\frac{20}{3}[/tex] = 6.67
And [tex]\frac{6}{y}=\frac{12}{8}[/tex]
y = [tex]\frac{8\times 6}{12}[/tex]
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
What is 12-12 if it’s not 0?
Answer:
it will still be zero
Step-by-step explanation:
12-12 = 0
WILL GIVE BRAINIEST! Triangle ABC is isosceles with AB = BC. If AC = 20 and {ABC} = 240, then find the perimeter of triangle ABC.
Answer:
72
Step-by-step explanation:
Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.
The Perimeter of triangle ABC is 72 unit
What is isosceles triangle ?Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.
We have
AC = 20 unit
Area of triangle {ABC} = 240 unit square
AB = BC
draw the altitude to AC, let’s call it BD (Construction)
Now,
we know the area of triangle = 1/2 × AC × BD
240 = 1/2 × 20 × BD
BD = 240 × 2/20
BD = 24 unit
AD=CD (Altitude to base of isosceles triangle)
2AD=AC
2AD=20
AD=10 (Parts-Whole Postulate, substitution)
in ∠ABC using Pythagorean theorem
[tex]AD^{2}[/tex] + [tex]BD^{2}[/tex] = [tex]AB^{2}[/tex]
[tex]AB^{2}[/tex] = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
AB = [tex]\sqrt{100 + 576}[/tex]
AB = [tex]\sqrt{676}[/tex]
AB=26
AB=BC=26 (Definition of Isosceles Triangle)
AC = 20
Perimeter of triangle ABC = AB+BC+AC (definition of Perimeter)
Perimeter of triangle ABC = 26 + 26 +20
Perimeter of triangle ABC = 72 unit
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Please help me with this
Answer:
a) -2 -< x-< 2
b) -1 < x and < 2
Step-by-step explanation:
We use -< as the numbers are included in the solution being -2 and 2
We use < as the numbers are less than -1 and 2
You know the difference i just couldn't copy and paste the inequalities for a).
They face the same way I have shown.
If the line on the number line were not central to 2 numbers and separate then they would face the opposite way and show two inequalities and we refer to that as or, but both of these mean and. they mean and as the line joins them together on each number line, the only difference is an open circle means the numbers are not inclusive so we dont enhance the arrow for non inclusive, when a) is inclusive we put a line underneath the arrow and still face them the left side as x shows the relationship of being inclusive still the same. a) has a line under the arrow i just couldn't show and hope you see the difference as we only use two types of arrows.
There are two numbers which sum to 23. If one number is seven less than four times the other, find the numbers.
Answer:
Numbers are 6 and 17.
Step-by-step explanation:
Let the two numbers are 'a' and 'b'.
"Sum of these numbers = 23"
a + b = 23 --------(1)
"One number is 7 less than 4 times the other"
a = 4b - 7 ---------(2)
Substitute the value of 'a' in equation (1) from equation (2)
(4b - 7) + b = 23
5b - 7 = 23
5b = 23 + 7
5b = 30
b = 6
From equation (2),
a = 4b - 7
a = 4×6 - 7
a = 24 - 7
a = 17
Therefore, the numbers are 6 and 17.
Answer: 7 and 16
Step-by-step explanation:
Let x be the smaller of the two numbers. We are told that the larger number is five less than three times the smaller number x. Therefore, our two numbers are x and 3x−5. Given that the sum is 23, we find that
x+(3x−5)=23
Solving for x, we find that x=7. So the two numbers are 7,16.
I know this is easy but can someone answer this ?
Answer: 57.15°F
Step-by-step explanation: If I'm reading this correctly the tempature was 62.4°F at 6:00 PM. By 8:00 PM it dropped by 5.25°F....therefore...all we have to do is...
62.4°F - 5.25°F = 57.15°F
The tempature is 57.15°F at 8 PM, I hope this helps!
how do you find the radius of a cylinder given the volume and height ? If the volume of a cylinder 100 cubic feet and height 10ft, what is the radius of the cylinder to the nearest tenth?
Answer:
=1.8
Step-by-step explanation:
R= Square root of volume/pie*height
R= 100/3.142*10
=100/31.42
=3.18
the square root of 3.18 is 1.78
1.78 rounded to the nearest tenth is 1.8
please be neat and will mark brain.;)
Answer:
the one with 47:is 43
the one with 52 is 38
the one with 63 is 27
and the one with 45 is 45
Step-by-step explanation:
these angles equal to 90
so you must subtract them from 90
Answer:
5: x=43
6: x=38
7: x=27
8: x=45
pls help this is due in 31 minutes pls help.
Answer:
option 3
Step-by-step explanation:
each little square represents a side of a cube, so it is 81 in^2
So, lets take a square root, since all distance is positive, it is 9, since a cub'es side lengths are all the same, the dimensions are 9*9*9inches, or option 3
what does it mean that the fan data are numerical and univariate?
Answer:
The fact that the data is univariate means that there is only one variable – age, and the fact the data is numerical means it involves numbers – age.
I'm doing the test and this is what I put for my answer
A small business employs 98 people. All
Which number line best shows the position of 113?
13
+
+
+
+
-3
-4
-2
-1
0
1
2
3
4.
13
a
+
+
+
+
1
+
2
-4
-3
-2
-1
0
2
3
4
113
++
+
-4
-3
-2
-1
0
1
2
3
4
13
+
-5
-3
-2
-1
0
1
2.
3
4
5
chris wxamines under his microscope. he finds that it is a cube with each side length 6 millimeters draw one square face of the crystal on the grid below
Answer:
Step-by-step explana
tion:
Ratatouille
Simplify the ratio 9/12 by dividing both the numerator and denominator by the greatest common factor of 3
A) 1/4
B) 1/2
C) 3/4
D) 4/3
Answer:
Option C
Step-by-step explanation:
9/3=3
12/3=4
so, the answer is 3/4
Option C
Answer:
Think of it as 9 / 3 = 3
12 / 3 = 4
so it is 3/4. The ratio is equal because 3/3 = 1 so you are dividing by 1
Hope this helps
Step-by-step explanation:
If W = 3x + 1 and P = -2x + 7, what is 2W + 2P
Answer:
2x+16
Step-by-step explanation:
2W+2P
Lets substitute the W and the P for their respective values.
2(3x+1) + 2(-2x+2)
Simplify
6x + 2 + -4x + 4
Simplify again
2x + 6
And there you have it!
Answer:
2x + 16
Step-by-step explanation:
2W + 2P
= 2(3x + 1) + 2(- 2x + 7) ← distribute both parenthesis
= 6x + 2 - 4x + 14 ← collect like terms
= 2x + 16
will mark bianleast
Which motion does the vector show?
left 3 units and up 7 units
right 3 units and up 7 units
right 7 units and up 3 units
left 7 units and up 3 units
Answer
7 Units left and 3 units up
Step-by-step explanation:
Rise over Run
Up 3 and to the left 7
Which of the following properties is represented by (x + y)(2 + z) = 2(x +y) + z(x + y)?
Associative Property of Multiplication
Commutative Property of Multiplication
Distributive Property
Associative Property of Addition
The final statement is: The property of distribution is used in the given expression.
What is a distributive property in math?According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given here: (x + y)(2 + z) = 2(x +y) + z(x + y)
Clearly 2 and z get distributed over (x+y)
We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms
Thus this is the distributive property of multiplication.
Hence, Distributive property is the correct option.
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3. a. Come up with a probability problem that deals with dependent events.
b. Solve the probability problem in part a. please need help I will be MARKING as BRIANILIST, thank you so much.
A girl has 20 marbles
10 are red, 7 are blue, and 3 are green
If she picks 5 marbles, without replacing them, what are the chances all 5 are red?
10/20 * 9/19 * 8/18 *7/17 * 6/16
1/2 * 9/19 * 4/9 * 7/17 * 3/8
1/2 * 1/19 * 3/2
1/76
Help. Will mark brainiest
Answer:
Step-by-step explanation:
The third, fifth and sixth expressions (from the top) are NOT polynomials, and the reason in each case is that the expression has one or more negative powers of x in it.