Answer:
Step-by-step explanation:
SABC= 1/2 AH.BC = 1/2 .2.5 = 5
Ta co: HC = 5 – BH
Mat khac: AH2 = HB.HC 22 = HB(5-HB) HB = 4 hoac HB = 1
Ta co cong thuc: AB2 = HB.BC
AC2 = HC.BC
Voi HB = 4 => HC = 1. Vay ta co: AB = 2√5 va AC = √5
Voi HB = 1 => HC = 4. Vay ta co: AB = √5 va AC = 2√5
On a piece of paper, graph y+ 2[tex]\leq[/tex] 1/4 x-1. Then determine which answer choice matches the graph you drew.
Answer:
Graph A
Step-by-step explanation:
Given 4 points A, B, C, D where no 3 points are collinear, any 2 points have a distance greater than 10. Prove that there exist two points out of 4 given points with greater distance 14.
Answer:
idea how to tell your loved one how you feel? How about a love song?
please help have a lot of math to do
Answer:
The surface area of the rectangular prism is 814[tex]in^{2}[/tex]
Step-by-step explanation:
In order to find the surface area for a rectangular prism you have to solve using the following formula
A=2(wl+hl+hw)
Hope this helps!
Find the sum of all natural numbers between 25 and 210 which are either divisible by 3 or divisible by 4? Please let me know I will mark you Brainliest
Let S be the sum of the integers 25-210:
S = 25 + 26 + 27 + … + 208 + 209 + 210
Let S₃, S₄, and S₁₂ denote the sums of the integers in S that are multiples of 3, 4, or 12, respectively. We'll also count how many terms each sum involves; it'll be useful later.
S₃ = 27 + 30 + 33 + … + 204 + 207 + 210 … … … (62 terms)
S₃ = 3 (9 + 10 + 11 + … + 68 + 69 + 70)
S₄ = 28 + 32 + 36 + … + 200 + 204 + 208 … … … (46 terms)
S₄ = 4 (7 + 8 + 9 + … + 50 + 51 + 52)
S₁₂ = 36 + 48 + 60 + … + 180 + 192 + 204 … … … (15 terms)
S₁₂ = 12 (3 + 4 + 5 + … + 15 + 16 + 17)
Let's look at S₃ :
S₃ = 3 (9 + 10 + 11 + … + 68 + 69 + 70)
By reversing the order of the sum, we get
S₃* = 3 (70 + 69 + 68 + … + 11 + 10 + 9)
Of course S₃ = S₃*, I'm just calling it something else temporarily. Notice that every term in the same position of either sum adds up the same number.
9 + 70 = 79
10 + 69 = 79
11 + 68 = 79
and so on. Then
S₃ + S₃* = 3 (79 + 79 + 79 + … + 79 + 79 + 79)
or
2S₃ = 3 × 62 × 79 ==> S₃ = 7,347
We can compute the other two sums in the same way.
S₄ = 4 (7 + 8 + 9 + … + 50 + 51 + 52)
S₄* = 4 (52 + 51 + 50 + … + 9 + 8 + 7)
==> 2S₄ = 4 × 46 × 59 ==> S₄ = 5,428
S₁₂ = 12 (3 + 4 + 5 + … + 15 + 16 + 17)
S₁₂* = 12 (17 + 16 +15 + … + 5 + 4 + 3)
==> 2S₁₂ = 12 × 15 × 20 ==> S₁₂ = 1,800
Then the sum you want is
S₃ + S₄ - S₁₂ = 10,975
We subtract S₁₂ because each of its terms is counted twice (once in S₃ and again in S₄).
please help!!!
What is the volume of this regular prism?
48.55 cubic inches
55.8 cubic inches
9.7 cubic inches
24.28 cubic inches
Answer:
V = 24.28 in ^3
Step-by-step explanation:
The area of the base is
A =5/2 × s × a where s is the side length and a is the apothem
A = 5/2 ( 2.13) * .87
A = 4.63275
The volume is
V = Bh where B is the area of the base and h is the height
V = 4.63275 ( 5.24)
V =24.27561 in^3
Rounding to the hundredth
V = 24.28 in ^3
martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?
please someone help
Answer:
Yes, it will overflow after 16 minutes..
Step-by-step explanation:
The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.
Answer:
V = 267.9 in^3
Step-by-step explanation:
V = 4/3 * (pi) * r^3
V = 4/3 * 3.14 * 4^3
V = 4/3 * 3.14 * 64
V = 256/3 * 3.14
V = 803.84/3
The sine of angle θ is 0.3.
What is cos(θ)? Explain how you know.
Answer:
cos(θ) = -0.95
Step-by-step explanation:
Remember the relation:
sin(θ)^2 + cos(θ)^2 = 1
So if we have:
sin(θ) = 0.3
we can replace that in the above equation to get:
0.3^2 + cos(θ)^2 = 1
now we can solve this for cos(θ)
cos(θ)^2 = 1 - 0.3^2 = 0.91
cos(θ) = ±√0.91
cos(θ) = ± 0.95
Now, yo can see that there are two solutions, which one is the correct one?
Well, you can see that the endpoint of the segment that defines θ is on the second quadrant.
cos(x) is negative if the endpoint of the segment that defines the angle is on the second or third quadrant.
Then we can conclude that in this case, the correct solution is the negative one.
cos(θ) = -0.95
If each month in a year was paired with all the possible numbers of days in the month will the result be a function? Explain
Using the function concept, it is found that the result would not be a function, as for each month, there would be multiple possible number of days.
What is the condition for a relation to represent a function?In a function, one value of the input can be related to only one value of the output.
In this problem, the input is the month and the output is the possible number of days in the month.
Since there is a month with either 28 or 29 days, and the other months have either 30 or 31 days, the are multiple outputs for each input, hence, the result is not a function.
You can learn more about the function concept at https://brainly.com/question/12463448
could you pls teach me this question
Answer:
if it's area the area would be the length of the diameter of the semi circle which is the height of the triangle multiplied by the base of the triangle to find the area of the triangle then to find the area of the circle would be pie multiplied by the diameter divided by two squared
[tex]\pi \ \times 7 {}^{2} [/tex]
then the total area would be the area of the triangle plus the area of the half circle
Please help me solve this short problem
Answer:
y =(x-9)^2 +2
Step-by-step explanation:
The vertex form of a quadratic is
y = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
y = a(x-9)^2 +2
We can choose a if not given another point so I choose a = 1
y =(x-9)^2 +2
Can someone plz help me ?
Help with Maths Laws of Indices
1: w³×w-⁶
2: a⁴÷a-²
I need help with both
Answer:
w^-2 = 1/w^2
a^6
Step-by-step explanation:
We know that a^b * a^c = a^( b+c)
w^3 * w^ -5 = w^(3-5) = w^-2
We know that a^-b = 1/a^b
w^-2 = 1/w^2
We know that a^b ÷ a^c = a^( b-c)
a^4 ÷ a^-2 = a^(4 - -2) = a^6
Answer:
[tex]\frac{1}{ w^{2} }[/tex]
[tex]a^{6}[/tex]
Step-by-step explanation:
x^n * x^m = x ^ (n+m)
w^3 * w^ -5 = w^ -2 = [tex]\frac{1}{ w^{2} }[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
x^n ÷ x^m = x^ n-m
a^4 ÷ a^-2 = a^ 4 -(-2) = [tex]a^{ 6}[/tex]
What is the slope of the line with these points (5, -3) (6, -1) (7, 1)
Answer:
4/2
Step-by-step explanation:
Rise/Run
4/2
Answer:
2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-3) / 6 - 5
= 2/1
= 2
Please help me!!! I'm being timed
Answer:
search it in internet.hope you'll find the answer
find the unknown size of angle
Answer:
x = 60
2x = 120
2x + 30 = 150
2x - 30 = 90
Step-by-step explanation:
2x + 2x - 30 + 2x + 30 = 360
2x + 2x + 2x + 30 - 30 = 360
6x + 0 = 360
6x = 360
x = 360 / 6
x = 60
2x
= 2 x 60
= 120
2x + 30
= 120 + 30
= 150
2x - 30
= 120 - 30
= 90
Triangle ABC is shown below.
What is the length of line segment AC?
7
DS
9
2x
3x - 7
O 14
18
B
4x - 10
с
Mark this and return
Save and Exit
Next
Submit
Answer:
14
Step-by-step explanation:
[tex]angle \: b = angle \: c \: thus \: ab = ac[/tex]
[tex]2x = 3x - 7 \\ 2x - 3x = - 7 \\ - x = - 7 \\ x = 7[/tex]
[tex]ac = 3x - 7 = 14[/tex]
Write an
equation
in slope y-intercept form B(-4,-3),m =Undefined
Answer:
x=-3
Step-by-step explanation:
Hii, please help me with this question I keep getting an option that isn't there.
A cylindrical piece of iron pipe is shown below. The wall of the pipe is 1.25 inch thick:
The figure shows a cylinder of height 16 inches and diameter 6 inches.
What is the approximate inside volume of the pipe?
a. 88 cubic inches
b. 49 cubic inches
c. 142 cubic inches
d. 154 cubic inches
The volume of this pipe considering the thickness of the pipe is 154 cubic inches.
How do you calculate the volume of the pipe?The general formula to calculate the volume of a cylindric object such as a pipe is:
V = πd^2h/4In this formula, d represents the diameter and h represents the height.
What is the diameter?The external diameter is 6 inches; however, the pipe is 1.25 inches thick, which implies the real internal diameter is 3.5.
6 inches - 2.5 (1.25 x 2) = 3.5Now, let's calculate the volume:
V = πd^2h/4V= π (12.25 x 16)/4V= π (196)/4V= 615.713 / 4 = 153.93 which can be rounded as 154 cubic inches.Learn more about cylindric in: https://brainly.com/question/14965384
Answer:
D. 154 cubic inches
Step-by-step explanation:
PLZ HELP!!!
Find the range of the following piecewise function.
Answer:
B
Step-by-step explanation:
the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.
Guys please help me with this question
Answer:
Step-by-step explanation:
[tex]\frac{g}{f} (x)=\frac{g(x)}{f(x)} \\=\frac{3x^2+x}{4x} \\=\frac{x(3x+1)}{4x} \\=\frac{3x+1}{4}[/tex]
The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
C OF
O {xx <4.5)
O {x| 4.5}
{x | x > 4.5)
O {x|x 2 4.5}
-5
0
1
2
3
4 5
Save and Exit
Next
SUOMI
Mark this and return
From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.
From the given number line, we have inequality as {x|x≤4.5}
Therefore, option B is the correct answer.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ7
Solve the simultaneous equation, will give out brainliest answer
a=bcd
a+b=cd
a+b+c=d
a+b+c+d=1
Answer:
a = 1/42, b = 1/7, c = 1/3 and d = 1/2
Step-by-step explanation:
a = bcd (1)
a + b = cd (2)
a + b + c = d (3)
a + b + c + d = 1 (4)
Substituting equation (3) into equation (4), we have
a + b + c = d (3)
a + b + c + d = 1 (4)
(a + b + c) + d = 1 (4)
d + d = 1 (5)
2d = 1
dividing through by 2, we have
d = 1/2
Taking equation (2) and equation (3), we have
a + b = cd (2)
a + b + c = d (3)
substituting equation (2) into equation (3), we have
a + b = cd (2)
(a + b) + c = d (3)
cd + c = d
Factorizing, we have
c(d + 1) = d
dividing through by d + 1, we have
c = d/(d + 1)
substituting d = 1/2 into the equation, we have
c = d/(d + 1)
c = 1/2 ÷ (1/2 + 1)
c = 1/2 ÷ 3/2
c = 1/2 × 2/3
c = 1/3
Taking equations (1) and (2), we have
a = bcd (1)
a + b = cd (2)
Substituting equation (1) into (2), we have
a = bcd (1)
a + b = cd (2)
bcd + b = cd (2)
Factorizing, we have
b(cd + 1) = cd
dividing through by (cd + 1), we have
b = cd/(cd + 1)
substituting the values of c and d into the equation,, we have
b = cd/(cd + 1)
b = 1/3 × 1/2/(1/3 × 1/2 + 1)
b = 1/6/(1/6 + 1)
b = 1/6 ÷ 7/6
b = 1/6 × 6/7
b = 1/7
Since a = bcd, substituting the values of b,c and d into the equation, we have
a = bcd
a = 1/7 × 1/3 × 1/2
a = 1/42
So, a = 1/42, b = 1/7, c = 1/3 and d = 1/2
For a school project , Gina measures the height of her 11 friends in centimeters. Girls 125 132 128 135 131 Boys 135 130 126 129 120 129 The five girls stand in a line from shortest to tallest. What is the height of a girl in the middle of the line?
Answer:
i think the answer is 126cm
Number 2 let’s see who knows???
Answer:
13-3=10
10-4=6
Step-by-step explanation:
man id hate to have to do this work literally just use your fingers or something
What is the volume of the pyramid below?
Answer:
56 m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 7 m
Volume = 24×7/3
= 56 m³
Answered by GAUTHMATH
Need some help! I don’t get it at all!
Answer:
Min = -16; max = 0
Step-by-step explanation:
I plotted the inequalities for the constraints (see pic).
Sub in the coordinates of the vertices into the optimisation equation.
z = -(-4) + 5(-4) = -16
z = 0
z = -3 + 5(-1) = -8
Therefore, the max value of z is 0, and the min value is -16
What is the slope of the line shown below?
10+
5
(9, 1)
o A. -
OB.
OC
10
15
(-3,-7) 5
10
O
D.
WIN
Answer:
D 2/3
Step-by-step explanation:
Rise over run. The x values is -3 and 9 which is the distance or run between the dots. Find the distance by finding which number is between then so -3+x=9 where x is 12. The y values are -7 and 1. Find y where -7+y=1 where y is 8. That is the rise. So the rise is 8 and that is over the run, 12, gives you 8/12 which can be simplified to 2/3.
MY HOMEWORK IS DUE SOON!!! PLEASE HELP
Answer:
7.07143
Step-by-step explanation:
Diameter: 18
Angle: 45
Radius: 9
Hello :) how to do this?
Answer:
Please see the attached pictures for the full solution.
[tex]\boxed{ \frac{d}{dx} ( {x}^{n} ) = n {x}^{n - 1} }[/tex]
