Answer:
Third option is the right choice.
Step-by-step explanation:
y = -4x + 11 (Slope = m = -4)
3 = -4(2) + 11
3 = -8 + 11
3 = 3
True.
PLEASE HELP MEE I need help finding x a b and c
Answer:
Step-by-step explanation:
Because of the Isosceles Triangle Theorem, both the base angles of that triangle measure a. We also know that a + b = 180 because of the definition of supplementary angles. So we have 2 equations from that info. First is the fact that
a + 7x = 180 and the second is
2x + a + a = 180 because of the Triangle Angle-Sum Theorem. If the left side of the first equation = 180 and the left side of the second equation also = 180, then by the transitive property of equality,
a + 7x = 2x + a + a and
a + 7x = 2x + 2a and
5x = a. Now that we know that a = 5x, we go back to our triangle and fill in 5x as a:
5x + 5x + 2x = 180 (the Triangle Angle-sum Theorem again) and
12x = 180 so
x = 15. If x = 15, then
a = 5(15) = 75,
b = 7(15) = 105, and
c = 2(15) = 30
what does it mean for a savings account to have a minimum balance
Step-by-step explanation:
You have to retain a certain amount of money
in that account forever. Say you need $50 to
start an account, you have $200 in that account.
You cannot take out more than $150 from that
account.
Answer:
A: If you do not keep at least that much money in the account, you will be assessed fees.
Step-by-step explanation:
Please answer it now in two minutes
Answer:
Area = 19.9 mm²
Step-by-step explanation:
Step 1: Find Angle V.
m < V = 180 - (131 + 27) (sum of angles in a triangle)
V = 22°
Step 2: Find UW using the law of sines.
[tex] \frac{UW}{sin(V)} = \frac{UV}{sin(W)} [/tex]
Plug in your values
[tex] \frac{UW}{sin(22)} = \frac{8}{sin(27)} [/tex]
Multiply both sides by sin(22) to solve for UW
[tex] \frac{UW*sin(22)}{sin(22)} = \frac{8*sin(22)}{sin(27)} [/tex]
[tex] UW = \frac{8*sin(22)}{sin(27)} [/tex]
[tex] UW = 6.6 mm [/tex]
Step 3: Find the area of ∆UVW
Area = ½*UW*UV*Sin(U)
Area = ½*6.6*8*sin(131)
Area = 3.3*8*sin(131)
Area = 19.9 mm² (to the nearest tenth)
which line segment could be a midsegment of ∆abc
Answer:
[tex]\overline{DF}[/tex] could be a midsegment of ∠ABC.
Step-by-step explanation:
A midsegment of a triangle must be two things:
1. Parallel to the 3rd side, in this case, [tex]\overline{AD}[/tex].
2. Half the length of the 3rd side, in this case, [tex]\overline{AD}[/tex].
Since we don't know the lengths, we can only go off of 1. There is only one line that is parallel to [tex]\overline{AD}[/tex] and it is [tex]\overline{DF}[/tex].
Hope this helped!
What is the volume of the following rectangular prism? the height is 5 and 1/4 and the base is 8
Answer:
V = 42 units ^3
Step-by-step explanation:
The volume of a rectangular prism is
V =Bh
V = 8*5 1/4
Changing to a mixed number
V = 8* ( 5*4+1) /4
=8*21/4
= 42 units^3
Answer:
[tex]\huge\boxed{V=42\ u^3}[/tex]
Step-by-step explanation:
Th formula of a volume of a prism:
[tex]V=BH[/tex]
B - base
H - height
We have
[tex]B=8;\ H=5\dfrac{1}{4}=\dfrac{5\cdot4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]
Substitute:
[tex]V=(8)\left(\dfrac{21}{4}\right)[/tex] simplify 8 and 4
[tex]V=(8\!\!\!\!\diagup)\left(\dfrac{21}{4\!\!\!\!\diagup}\right)=(2)(21)=42[/tex]
In a state lottery 25 balls numbered from 1 to 25 and placed in machine. 6 numbers randomly drawn. And here is the chart what can win a player by buying single lottery ticket: 6 number match $10,000 5 number match $ 5,000 4 number match $ 1000 3 number match $ 5,00 2 number match $ 50 1 number match $ 10. what is the probablity that a player will will 10000 dollars
Answer: 0.00000565
Step-by-step explanation:
Required to win:
6 number match $10,000
5 number match $ 5,000
4 number match $ 1000
3 number match $ 5,00
2 number match $ 50
1 number match $ 10
Therefore, to win $10,000 ;
All 6 numbers must match
Number of right numbers = 6
Total numbers = 25
Since it is without replacement :
Probability = required outcomes / Total possible outcomes
P(First number match) = 6/25
P(second number match) = 5/24
P(third number match) = 4/23
P(fourth number match) = 3/22
P(fifth number match) = 2/21
P(sixth number match) = 1 / 20
Therefore, Probability of winning $10000 :
(6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (1/20) = 720 / 127512000 = 0.0000056465
= 0.00000565
Area of a triangle is 1400 cm² the base of the triangle is 5 times the height what is the height of the triangle
Answer:
≈23.66
Step-by-step explanation:
Height ---> x
base ---> 5x
Formula for area of triangle: (base*height)/2
((5x)(x))/2 = 1400
[tex]5x^{2}[/tex]/2 = 1400
[tex]5x^{2}[/tex] = 1400 · 2 = 2800
[tex]x^2[/tex] = 2800/5 = 560
x= √560 ≈ 23.66
In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD?
PLEASEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A = 18.85ft^2114cm^2835.578 in^224o yd^2Step-by-step explanation: I hope it helps :)
1.
[tex]Surface\: area=\:2\pi rh+2\pi r^2\\h = 2ft\\diameter = 2ft\\Radius = d/2=2/2=1ft\\\\A=( 2\times 3.141\times1\times2)+(2\times 3.141 \times 1^2)\\A = (12.564)+(6.282)\\A = 18.846\\A = 18.85ft^2[/tex]
2.
[tex]Area \:of\: square = A=a^2\\A = 3^2\\A=9\\Area\:of \:one \:rectangle\: = (l\times b)\\ A = (8\times 3)\\A = 24cm^2\\\\A = 2(Area\: of\: square)+2(Area\: of \:rectangle)\\A = 2(9)+4(24)\\A = 18+96\\A =114cm^2[/tex]
3.
[tex]Area \: of\: base=?\\ r = 7\:in\\h = 12\:in\\A = \pi \times r^2\\A = 3.141 \times 7^2\\A = 153.909\\\\Height \: of \:the \:cylinder = 12\:inches\\Circumference = 2\pi \times r\\C= 2 \times 3.141 \times 7\\ C =43.98\\\\S.A= 2B+Ch\\S.A = 2(153.909)+43.98(12)\\S.A = 307.818+527.76\\S.A =835.578[/tex]
4.
[tex]Perimeter = a+b+c\\P = 10+8+6\\P = 24\\S.A =2B+Ph\\S.A = 2(24)+24(8)\\S.A =48+192\\S.A = 240\:yd^2[/tex]
When you conduct a t test, the calculated value of t can be negative. True/False
Answer:
True.
Step-by-step explanation:
In t-test test the value of t can be either negative or positive.
If value of t is negative, then it lies to the left of the mean.
If value of t is Positive, then it lies to the right of the mean.
The given statement is "When you conduct a t test, the calculated value of t can be negative.".
Therefore, the given statement is true.
Right triangle ABC is located at A (-1,-2), B(-1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
Olx + 1)2 + y + 2)2 = 9
O(x + 1)2 + (y + 2)2 = 25
OOX - 3)2 + y - 12 = 16
Ox - 3)2 + (y - 142 = 25
Answer:
(x +1)^2 + (y +2)^2 = 25
Step-by-step explanation:
A diagram of the given triangle shows you it has side lengths of 3 and 4, so the square of the hypotenuse is ...
(AC)^2 = (AB)^2 +(BC)^2 = 3^2 +4^2
(AC)^2 = 25
The center of the circle is at A(-1, -2), so the equation is ...
(x -h)^2 +(y -k)^2 = r^2
for the circle centered at (h, k) with radius r.
We know that the square of the radius (r^2) is 25, so we can write the equation as ...
(x +1)^2 +(y +2)^2 = 25
Answer:
(x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
Hope this helps :)
n Fill in the blank. The _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further. The (1) for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.
Answer: sample space
Step-by-step explanation: In determining the probability of a certain event occurring or obtaining a particular outcome from a set of different possible outcomes, such as in the toss of coin(s), rolling of fair die(s), the sample space comes in very handy as it provides a simple breakdown and segmentation of all possible events or outcomes such that in Calculating the probability of occurrence of a certain event, the event(s) is/are located in the sample space and the ratio taken over the total number of events.
Find the indicated functional value for the ceiling function: f(1.5)?
Answer:
The correct answer is 2Step-by-step explanation:
The ceiling function is a python programming function that rounds a decimal point number to the nearest whole number.
Given the function expression f(1.5), the ceiling function will round 1.5 to the nearest whole number which is 2
Cassie reduced the size of a poster to a
height of 2 inches. What is the new width if the poster
was originally 18 inches wide and 2 feet tall?
Answer: 3 feet²
Step-by-step explanation:
Simply do 2*18 (In a rectangle A = l*w) to get 36 inches, or 36/12 feet, or 3 feet.
Hope it helps <3
Answer:
Width = 1.5 Inches
Step-by-step explanation:
Original Height: 24 Inches
Original Width: 18 Inches
Given Height: 2 inches
24 divided by 2 = 12. This means the poster was dilated by 12.
18 divided by 12 = 1.5
f(x) = x^2. What is g(x)?
Answer:
A. g(x)=1/2x²
Step-by-step explanation:
Given:
f(x)=x²
We have to find g(x)
Since, we are given that g(2)=2
1. g(x)=1/2x²
x=2
g(x)=1/2(2)²
=1/2(4)
=4/2
=2
2. g(x)=1/4x²
x=2,
g(x)=1/4(2)²
=1/4(4)
=4/4
=1
3. g(x)= 2x²
at x=2,
g(x)=2(2)²
=2(4)
=8
4. g(x)=(1/2x)²
x=2
g(x)={1/2(2)}²
=(1/4)²
=1/16
A. g(x)=1/2x² is the answer
Can anyone help me with this please? And QUICK!
Answer:
30.6
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 23°
Opposite = 13
Adjacent = y
The value of y can be obtained by using the following trig ratio:
Tan θ = Opposite /Adjacent
Tan 23° = 13/y
Cross multiply
y × Tan 23° = 13
Divide both side by Tan 23°
y = 13/Tan 23°
y = 30.6
Therefore, the value of y in the diagram above is 30.6
Which is the best estimate of A.2 B.6 C.12 D.24
Answer:
24
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ ( 4*1 +3 ) /4
90/7 ÷ 7/4
Copy dot flip
90/7 * 7/4
90/4
22.5
Best estimate is 24
Answer:
A:2
Step-by-step explanation:
A is the answer because 90 divided by 7 is 12.8 which would be 13, and the 1 and 3/4 would be 7. 13 divided by 7 would equal 1.85. When rounded your answer would be 2.
A regular polygon has 10 sides. What is the measure of each interior angle of the polygon? 36° 1440° 144° 72°
Answer:
144°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 10, thus
sum = 180° × 8 = 1440°
Each interior angle = 1440° ÷ 10 = 144°
Answer:
144 deg
Step-by-step explanation:
Sum of the measures of the angles of a polygon with n sides:
(n -2)180
For a 10-sided polygon, n = 10.
The sum of the measures is
(10 - 2)180 = (8)180 = 1440
Since the polygon is regular, all angles have the same measure, so the measure of 1 angle is
1440/10 = 144
Answer: 144 deg
3/x-2, i'm confused as to what the horizontal asymptote is. The resources I found online conclude that it has a horizontal asymptote of y=0. I know that in order for a horizontal asymptote to be y=0, the denominator has to have a greater degree than the numerator. Im confused because doesn't the numerator have the same degree as the denominator (degree of 1)?
Answer:
The Horizontal Asymptote is at x=3
Step-by-step explanation:
Here is a way to remember this
One way to remember this is the following pnemonic device: BOBO BOTN EATS DC
EABOBO -Exponents are bigger on bottom, y=0
EABOTN -Exponents are bigger on top, none
EATS DC - Exponents are the same, divide coefficients
3/x-2 the exponents are the same, divide leading coefficients
3/1 = 3 the horizontal asymtote is at x=3
A ladder leans against a 15-foot building to form a right triangle. The ladder is placed so that it is 8 feet from the building. What is the length of the ladder?
Answer:
17 feet
Step-by-step explanation:
[tex]15^{2}+8x^{2} = x^{2} \\225 + 64 = x^{2} \\289 = x^{2} \\17 = x[/tex]
Find three solution of equation 4x+3y=12
Answer:
1.(X,Y)=(1,8/3) 2.(X,Y)=(2,4/3) 3.(X,Y)=(3/2,2)plz.. mark me as brainiesthow do you know if the solutions to a quadratic equation are inside, outside, on, inside and on, or outside and on the parabola??
Answer:
Plug in the x and y values into the equation
Step-by-step explanation:
whats the equation for this
Answer:
[tex]x^2 + y^2 + 4x + 4y = -119/16[/tex]
Step-by-step explanation:
The axes x and y are calibrated in 0.25
If the circle is carefully considered, the radius r of the circle is:
r = -1.25 - (-2)
r = 0.75 units
The equation of a circle is given by:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
The center of the circle (a, b) = (-2, -2)
Substituting (a, b) = (-2, -2) and r = 0.75 into the given equation:
[tex](x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y = -119\\\\x^2 + y^2 + 4x + 4y = -119/16\\[/tex]
Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.
Answer:
work is shown and pictured
Answer:
case 1
3x-7y=9
-4x+5y=1
using a graph tool
the solution is the point (-4,-3)------------------> one solution
case 2
y=6x-2
y=6x-4
two parallel lines
the system has no solution---------------> zero solution
case 3
-5x+y=10
-25x+5y=50
is the same line----------------> infinite solutions
Simplify.
a3 x a9 over a4
PLEASE HELP!!! ASAP!!!
Answer:
[tex]\frac{\left(a^3\right)\left(a^9\right)}{a^4}=a^8[/tex]
Step-by-step explanation:
[tex]\frac{\left(a^3\right)\left(a^9\right)}{a^4}\\\\= \frac{a^3a^9}{a^4}\\\\=a^3a^9\\\\=a^{3+9}\\\\=a^{12}\\\\=a^{12-4}\\=a^8[/tex]
Answer:
a⁸
Step-by-step explanation:
a³*a⁹/a⁴
Product law:Says that if the base of the number being multiplied is the same, then we can add the exponents
Therefore
a to the power of 3+9/a⁴
a¹²/a⁴
Quotient law:Says that when we divide two numbers with the same base,we can subtract the exponents
Therefore
a to the power of 12-4
a⁸
The side length of an equilateral triangle is 6 cm. What is the height of the triangle? 2
Answer:
h=3√3 cm
Step-by-step explanation:
An equilateral triangle has 3 Equal sides
The height of an equilateral triangle with side a =a√3/2
That is,
h=a√3/2
Where,
h=height of the equilateral triangle
a=side length
From the triangle given,
a=6cm
Therefore,
h=6√3/2
=3√3
h=3√3 cm
What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch? Do not use units or commas in your answer.
Answer:
The volume of the figure is approximately 1244 in³
Step-by-step explanation:
The figure is formed by a rectangular prism and a hemisphere, therefore its total volume is formed by the the sum of the volume of each of these forms. The volume of a rectangular prism can be found by using the expression:
[tex]V_{rect} = length*width*height[/tex]
While the volume of a hemisphere is given by:
[tex]V_{hemis} = \frac{2}{3}*\pi*r^3[/tex]
The radius of the hemisphere is the difference between the total length of the figure and the length of the prism, therefore:
[tex]r = 17 - 11 = 6 \text{ in}[/tex]
We can now find the volume of the figure:
[tex]V = V_{rect} + V_{hemis}\\V = 11*6*12 + \frac{2}{3}*\pi*(6)^3\\V = 792 + 144*\pi\\V = 792 + 452.39\\V = 1244 \text{ in}^3[/tex]
Which could be used to solve this equation?
3 and one-fifth + n = 9
Subtract 3 and one-fifth from both sides of the equation.
3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth
Add 3 and one-fifth to both sides of the equation.
9 + 3 and one-fifth = 12 and one-fifth
Answer:
Subtract 3 and one-fifth from both sides of the equation
Step-by-step explanation:
Well to find n you gotta separate it.
3 1/5 + n = 9
-3 1/5
n = 5.8
Thus,
to seperate it you subtract 3 1/5 from both sides.
Answer:
Subtract 3 and one-fifth from both sides of the equation
Step-by-step explanation:
f(x) = 5x - 3
f(5) =_____
Answer:
22
Step-by-step explanation:
Evaluate!
5(5)-3
25-3
22
Which expression can be used to find the surface area of the following triangular prism? A 16+16+55+55+8816+16+55+55+8816, plus, 16, plus, 55, plus, 55, plus, 88 (Choice B) B 10+10+55+55+8810+10+55+55+8810, plus, 10, plus, 55, plus, 55, plus, 88 (Choice C) C 8 +8+55+55+888+8+55+55+888, plus, 8, plus, 55, plus, 55, plus, 88 (Choice D) D 16+8816+8816, plus, 88
Answer:
8+8+55+55+88
Step-by-step explanation:
The surface area is the sum of all the sides
We have 5 sides
Top and bottom are the same
The area of the top is
1/2 bh = 1/2 (8)(2) = 8
The left and right sides are the same
The area of the left side is
5*11 = 55
The area of the front is
8*11 = 88
The sum of all the 5 sides are
top + bottom + left + right + front
8+8+55+55+88
Answer:
8 + 8 + 55 + 55 + 88
Step-by-step explanation:
Calculate area of base.
8 × 2 × 1/2 = 8
There are two triangles:
8 + 8
Calculate area of rectangle.
8 × 11 = 88
Calculate the areas of two rectangles.
5 × 11 = 55
55 + 55