A. square root of 11 is it
The required length of the legs of triangle is 11√2. Option D is correct.
From figure
Hypotenuse = 22
Angles of leg = 45°
The triangle is geometric shape which includes 3 sides and sum of interior angle equal to 180°.
Let the length of the legs be x
sin45 = perpendicular/Hypotenuse
1/√2 = x/22
x = 11√2
Thus, the required length of the legs of triangle is 11√2.
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An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm. How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.
Answer:
The slope is 29 mm.
Step-by-step explanation:
What we know:
The radius of this cone is 20 mm, and the height is 21mm
s = √r^2 + h^2
s = √20^2 + 21^2
s = √400 + 441
s = √841
s = 29 mm
The slant height of the cone is required,
The ant would have to crawl [tex]29\ \text{mm}[/tex]
Volume of coneV = Volume of cone = [tex]8792\ \text{mm}^3[/tex]
r = Radius of cone = 20 mm
h = Height
s = Slant height.
Volume of a cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]
From Pythagoras theorem we have
[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]
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Find the value of f(-6).
y = f(x)
Answer:
i believe the answer is 4
Step-by-step explanation:
two solutions to the inequality p ≤ 16.
Answer:
The inequality says p is equal to 16 and less than 16.
So from under 16 (even negative), you can give a solution.
Examples: -3; 2
Hope this helps!
-7x - 4x = 8 -2x - 8x
Answer:
3x = 8
Step-by-step explanation:
combine all the #x's on the left side
Answer: x= -8
Step-by-step explanation:
-11x=8-2x-8x
-11x=8-10x
-11x+10x=8-10x+10x
-x=8
-x/-1 = 8/-1
What are the zeros of the following polynomial? 0=(x+5)(x-2)(x-3)
Makinzee bikes 64.4 miles in 4 hours. What is her average rate of miles per hour?
Pls help
Answer:
16.1 mph is your rate
Step-by-step explanation:
Answer:
16.1 per hour
Step-by-step explanation:
just divide the mile by the hours.
64.4 / 4
I need help with this from start to finish
Answer:
i think you need to find the squar rout and you can just do that with a caulator.
Step-by-step explanation:
I need help please and thank you
Answer:#7 is 20%. #8 is 67.5 people
Step-by-step explanation: For #7 you would just divine 14/70 to get .20 converted to a percentage is 20%. For #8 you would convert 37.5% to a decimal of .375 and multiply that to 180 people to get the answer of 67.5 people.
2/5 x 1 2/3
i know its easy
Answer:
2/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
25×53
Applying the fractions formula for multiplication,
=2×55×3
=10/15
Simplifying 10/15, the answer is
=2/3
what is the value of y
Answer:
100°
Step-by-step explanation:
180 - 80 = 100
The line is 180 so you take away what you already know (80) and then you have 100.
Answer:
180 degree (exterior angle ) please follow and like me
please help im really confused with this question <3
Answer:
anyways kikiwaka nana
Step-by-step explanation:
zu zu zu fheibgerghberg
rejgnerkgnerjgeik
which the best estimate of 22 x 97 by using roundings on compatibile numbers? F. 1,800 G. 2.000 H. 2.300 I. 2.100
can anyone help me?
Answer:
Literally take your f(x) and - your g(x)
(x^2+9x+18) - (x + 6)
Remember to distribute the negative sign.
How many degrees is are
Answer:
AMH = 32
Step-by-step explanation:
The angles are alternate exterior angles and when the lines are parallel, alternate exterior angles are equal
x+86 = 24+2x
Subtract x from each side
x+86 -x =24+ 2x+2x-x
86 = 24 +x
Subtract 24 from each side
86-24 = 24+x-24
62 =x
x+86 = 62+86 =148
AMH is supplementary since it forms a straight line
AMH + x+86 = 180
AMH + 148 = 180
AMH = 180-148
AMH = 32
Solve the inequality below.
4(x + 3) < 6x – 2
Answer:
X > 7
Step-by-step explanation:
4(x + 3) < 6x – 2
4x + 12 < 6x -2
-6x -6x
-2x + 12 < -2
-12 -12
-2x < -14
----- -----
-2 -2
x > 7
The < change because it was divided by a negative number
Jordan already knew 2 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks w and the number of appetizer recipes a. Write your answer as an equation with a first, followed by an equals sign
Answer:
w=2r
r= w/2
r- w/2 = 0
w -2r= 0
Step-by-step explanation:
Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives
w=2r
when w= 1
w= 2(1) = 2
For 1st week 2 recipes are learned
when w= 2
w= 2( 2) = 4
For 2nd week 4 recipes are learned.
or
when r= 2
r= w/2
r =2/2 = 1 one recipe is learned in half of the week
r- w/2 = 0
or
w -2r= 0
I need help.........,
Answer:
Step-by-step explanation:
p=15-4
p= 11
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
Answer:
[tex]\longrightarrow 5n+1\longleftarrow[/tex]
Step-by-step explanation:
[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]
Answer:
[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]
Step-by-step explanation:
We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).
[tex]f(n)+g(n)[/tex]
We know that:
[tex]f(n)=2n+1\\g(n)=3n[/tex]
Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)
[tex](2n+1)+(3n)[/tex]
Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.
[tex](2n+3n)+(1)[/tex]
[tex](5n)+1[/tex]
[tex]5n+1[/tex]
f(n)+g(n) is equal to 5n+1
Which equation is the inverse of y = 16x2 + 1?
O y=+T6
x-1
O y =
16
+
Oy AVTO
INX-1
Оy=
Step-by-step explanation:
[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]
The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us find the inverse of the equation y = 16x² + 1.
To find inverse we need to replace y with x and x with y in the original equation to obtain:
x = 16y² + 1
Now solve for y in terms of x by rearranging the terms
x - 1 = 16y²
Divide both sides by 16
y² = (x - 1)/16
Take square root on both sides.
y = ±√[(x - 1)/16]
Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:
y = ±√[(x - 1)/16]
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Help me please ?!!!!
Answer:
The slope of the line is -1
Step-by-step explanation:
Slope of a Line
Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table in the image, we select the points (1,4) (3,2). The slope is:
[tex]\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1[/tex]
Now select two other points like (5,0) (7,-2)
[tex]\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1[/tex]
Following the same procedure with any other pair of points, we'll get the very same result:
The slope of the line is -1
Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?
Answer:
Her mean quiz score is 92.25%.
Answer:
92.25
Step-by-step explanation:
Mean is the same as average. Add all the scores together and then decide by the number of scores.
(92+94+100+83)÷4
369÷4=92.25
I dont get the question
3√5•3√2 =
A. √10
B. 9√10
Which one?
Work Shown:
[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]
The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
Can someone help me with this please!!
Answer:
What are we meant to do its sideways
Step-by-step explanation:
The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards to Zeona’s cards change if they both sell half of their cards? Explain.
Answer:
It wouldn't.
Step-by-step explanation:
With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.
please help me is this a function and explain why
Answer:
No.
Step-by-step explanation:
For functions, there can only be one y-value to every x value, and in this diagram x=0 has two y-values, therefore it is not a function
Answer:Not a function
Step-by-step explanation:In a function, an input can only have one output. So the fact that 0 has two different outputs means it is not a function.
please help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?
Answer:
[tex](j-5)(j+3)[/tex]
Step-by-step explanation:
[tex]j^2-2j-15=(j-5)(j+3)[/tex]
The age of John’s brother is j-5 and the age of John’s sister is j+3.
Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The solution for j²-2j-15 is as follows
j²-2j-15
⇒ j²-5j+3j-15
⇒ j(j-5)+3(j-5)
⇒ (j-5)(j+3)
Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.
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This graph shows the solution to which inequality???
Answer:
B. y > (4/3)x - 2
Step-by-step explanation:
The dotted line means that the answer WILL NOT include the line itself, just the space above it. Since the shaded area is above the line, it must be greater than the line.
Classify the number: -135
Answer:
Integer, Rational number, Real number
Step-by-step explanation:
A composition of rigid
motions maps one figure to another figure is each intermediate image in the composition congruent to the original and final figures? Explain.
Answer:
Swaped
Step-by-step explanation:
Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions.
What types of motions create congruent figures?The two are said to be congruent if and only if one of two plane figures can be produced from the other by a series of rigid motions such as rotations, translations, and/or reflections.Because rigid motions preserve length and angle measurements, the corresponding parts of congruent figures are also congruent. As a result, if the corresponding parts of two figures are congruent, there is a rigid motion or a composite rigid motion that maps one figure onto the other.Every point in the plane can be moved in that direction using any method. a) The distance ratio between the two points remains constant. b) The relative positions of the points remain unchanged.Hence, Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions. As a result, the original and final figures can be seen in agreement with each intermediate image.
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