Answer: 15 inches
Step-by-step explanation:
Answer:
In a right triangle, the hypotenuse, 2x, is equal to twice the length of the shortest leg, x, and the longer leg is equal to the product of the length of the shortest leg, x, and the square root of 3.
Hypotenuse: 10 in.
Shortest Leg:2x=10 , so x=5 in,
Longer Leg: x sq rt 3 5 sq rt 3 in
area- 1/2 bh, 1/2 5*5 sq rt 3=
25t sq rt 3=21.65 sq inches
find the distance between the points (-5.4,-9.5) and (-5.4, -5.5)
Answer:
4 units
Step-by-step explanation:
formula
d = √(x2-x1)^2 + (y2-y1)^2
then fill in the spots
d = √(-5.4+5.4)^2 + (-5.5+9.5)^2
the subtraction sign became an addition sign due to it being a double negative
Hope this helped
4. What are the coefficients in the polynomial 7x² - 4x + 6? (1 poin
O-7,4
07, 4, -6
07,-4, 6
07,-4
Add or subtract.
Answer:
D.) 7 and -4
Step-by-step explanation:
Coefficients are numbers placed directly before a variable.
(7) is a coefficient because it is placed before x².
(-4) is a coefficient because it is placed before x. The negative is included.
(6) is not a coefficient because it is not altering any variable through multiplication/division.
what is the length of AB?
choices:
6 units
14 units
10 units
12 units
Answer:
[tex]\huge\boxed{\sf |AB|=10 \ units}[/tex]
Step-by-step explanation:
Coordinate of A = [tex](x_1,y_1)[/tex] = (-7,-6)
Coordinate of B = [tex](x_2,y_2)[/tex] = (1,0)
We will use distance formula to find the length of AB.
Length of AB:[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB|=\sqrt{(1-(-7))^2+(0-(-6))^2} \\\\|AB|=\sqrt{(1+7)^2+(6)^2} \\\\|AB|=\sqrt{(8)^2+36} \\\\|AB|=\sqrt{64+36} \\\\|AB|=\sqrt{100} \\\\\boxed{|AB|=10 \ units}\\\\\rule[225]{225}{2}[/tex]
Question 18
A wholesale grocery supplier shipped x2-pound blocks of cheese and y3-pound blocks of cheese to a caterer. The total weight of the cheese in the shipment was 44 pounds, and
the shipment consisted of 18 blocks of cheese. Which of the following systems of linear equations best represents this situation?
z+y=18
A
3z +2y=44
z+y=18
2x + 3y = 44
z+y=44
3z + 2y = 18
z+y=44
2z+3y=18
B
C
D
Imported (1)
The G
The system of linear equations that best represents the situation are:
z+y=18
3z +2y=44
What are the linear equations?In order to determine the values of the two types of cheese, two set of linear equations can be formed from the question. The equations have to be solved together using either the elimination , substitution or graphical methods.
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What is the volume of a cone with base diameter 14 and height 16?
Answer:
Your answer is 3282.34
Step-by-step explanation:
1/3 x 3.14 x 14 ^2 x 16
this is all you have to do really.
Twelve toy turtles run a race. Each turtle is numbered from 1 to 13. A turtle can move forward one step whenever their number is rolled from the sum of two six- sided number cubes. Who do you think is most likely to win the race? Make an argument to justify your answer.
The turtle that would most likely win the race is the turtle 7
How to determine the turtle with the most chance?The turtles are given as:
Turtle = 1 to 13
When two dice are rolled and the sum of the outcomes are taken, the sample space is:
Outcome Frequency
2 1
3 2
4 3
5 4
6 5
7 6
8 5
9 4
10 3
11 2
12 1
The outcome 7 has the highest frequency of 6
This means that the turtle 7 has the highest chance of winning the race
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Q5. An earthquake causes a sea wave. This sea wave travels 26 400 m in two minutes. Calculate the speed of the wave. Use the equation Q6. wave speed distance time speed =
Answer:
13.2 Kilometers an Minute, or 220 Kilometers an Hour
Step-by-step explanation:
26,400 divided by 2 = 13.2 (Minutes) Divided by 60 = 220 (Hours).
6. Use the following diagram to solve for x:
Please explain.
Answer:
26
Step-by-step explanation:
Angles that form a linear pair are supplementary, and thus have measures that add to 180 degrees.
4x+3+2x+21=180
6x+24=180
6x=156
x=26
Find the value of x so the line that passes through the pair of points has the given slope.
(x, 4) (-3, 8), m = undefined
Answer:
x = - 3
Step-by-step explanation:
using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (x, 4 ) and (x₂, y₂ ) = (- 3, 8 )
m = [tex]\frac{8-4}{-3-x}[/tex]
since m is undefined, then the denominator must be zero, since division by zero is undefined , then equating the denominator to zero
- 3 - x = 0 ( add 3 to both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
What is the name of the Platonic solid shown below?
O A. Dodecahedron
OB. Tetrahedron
OC. Octahedron
OD. Hexahedron
The name of the Platonic Solid shown below is a Hexahedron. Option D is correct.
What is a Platonic Solid?A polyhedron with an identical number of faces meeting at each vertex as well as all congruent uniform polygonal faces is referred to as a platonic solid.
In the image attached, the polyhedron has 6 faces with 3 squares in each vertex. Therefore, we can conclude that the platonic solid is a hexahedron.
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The bearing of point B from point A is 043°. Find the bearing of point A from point B.
The bearing of point A from point B is 223°.
We have given that,
The bearing of point B from point A is 043°.
We have to determine the bearing angle,
Suppose that we have the angle BAD=43 degrees.
So angle CBA=43 degrees.
What is the angle of bearing?
A bearing is an angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing.
For example, 30° clockwise from the north is usually written as 030°.
Angle EBA= 180+∠CBA
=180°+43°
=223°
Therefore the bearing of point A from point B is 223°.
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Find the slope of the line through the given points: (-19, 5), (19, 15)
Answer:
Step-by-step explanation:
(15 - 5)/(19 + 19)= 10/38= 5/19 is the slope
y - 5 = 5/19(x + 19)
y - 5 = 5/19x + 5
y = 5/19x + 10
Choose the best description of an irregular polygon.
A. a polygon with unequal angles
B. a polygon with equal sides
C. a polygon with unequal sides and unequal angles
D. a polygon with unequal sides
Answer:
The answer is C
Step-by-step explanation:
Irregular polygons are polygons with unequal sides and angles.
PLEASE HELP I'LL GIVE YOU 50 POINTS Explain how you would find the area of the shape below. HELP PLEASEE
Answer:
You count the cat's ears as the area of a right triangle, the middle as the area of a rectangle, and the cat's chin as the area of a semi-ellipse.
I need help please I’m just trying to pass
Answer:
a
Step-by-step explanation:
Solve the following system of equations. Show all work and solutions.
y = 2x^2 + 6x + 1
y = −4x^2 + 1
Answer: (0, 1), (-1, -3)
Given two equation's:
y = 2x² + 6x + 1y = −4x² + 1Solve them simultaneously:
[tex]\sf 2x^2 + 6x + 1 = -4x^2 + 1[/tex]
[tex]\sf 2x^2 + 4x^2 = 1 - 1[/tex]
[tex]\sf 6x^2 + 6x = 0[/tex]
[tex]\sf 6x(x + 1) = 0[/tex]
[tex]\sf 6x = 0, \ x + 1 = 0[/tex]
[tex]\sf x = 0, \ x = -1[/tex]
(a) When x = 0, y = −4(0)² + 1 = 1
(b) When x = -1, y = -4(-1)² + 1 = -3
Solution: (x, y) → (0, 1), (-1, -3)
Answer:
System of equations
[tex]\large \begin{cases}y=2x^2+6x+1\\y = -4x^2+1\end{cases}[/tex]
To solve the given system of equations, use the substitution method:
[tex]\large\begin{aligned}2x^2+6x+1 & = -4x^2+1\\2x^2+6x+1+4x^2-1 & = 0\\6x^2+6x & = 0 \\6x(x+1) & = 0\\\implies x+1 & = 0 \implies x=-1\\\implies 6x & = 0 \implies x=0\end{aligned}[/tex]
Therefore the x-values of the solutions are:
[tex]\large \begin{aligned}x & =-1\\x & =0\end{aligned}[/tex]
Substitute the found values of x into the second equation to find the y-values:
[tex]\large \begin{aligned}x & =-1 & \implies &-4(-1)^2+1 =-3 & \implies & (-1,-3)\\x & =0 & \implies & -4(0)^2+1 =1 & \implies & (0,1)\end{aligned}[/tex]
Therefore, the solutions of the system of equations are:
(-1, -3) and (0, 1)
**URGENT PLEASE HELP SOON** Each brick in the wall has the dimensions shown below. A rectangular prism with a length of 8 inches, width of 4 inches, and height of 2.25 inches. What is the volume of each brick?
Options:
56 in^3
72 in^3
118 in^3
144 in^3
The volume of each individual brick is 72 cubic inches.
How to get the volume of each brick?
The volume of a rectangular prism of height H, width W, and length L is given by:
V = L*H*W
In this case we have:
L = 8inW = 4inH = 2.25 inThen, replacing these in the volume equation, we get:
V = (8 in)*(4 in)*(2.25 in) = 72in³
So the correct option is the second one.
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Answer:
The volume of each individual brick is 72 cubic inches.
Step-by-step explanation:
How to get the volume of each brick?
The volume of a rectangular prism of height H, width W, and length L is given by:
V = L*H*W
In this case we have:
L = 8in
W = 4in
H = 2.25 in
Then, replacing these in the volume equation, we get:
V = (8 in)*(4 in)*(2.25 in) = 72in³
So the correct option is the second one.
Elijah henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%. what was his commission on the sales?
The commission on the sales will be $118.2.
What is the percentage?
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Elijah Henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%
The commission amount will be:-
7.5 % of $1576 will be calculated as:-
Commission = 1576 x 0.075
Commission = $118.2
Therefore the commission on the sales will be $118.2.
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Use the following scenario to answer the question below:
When the new book units of fire was released, Johnathan decided to read it in one sitting for his book report. He started at 11:00 a.m. on Saturday morning and read until 8:00 p.m. that night, for a total of 9 hours. For school, however, he needed to record the exact number of minutes he spent reading.
To figure out how many minutes he read, what is a conversion ratio he should use?
[tex]A. \frac{9.30 minutes}{1 hour}[/tex]
[tex]B. \frac{1 hour}{60 minutes}[/tex]
[tex]C. \frac{60 minutes}{1 hour}[/tex]
[tex]D. \frac{60 hours}{1 minute}[/tex]
Answer:
9 hr * 60 min/hr = 540 min. 540 min * 60 sec/min = 32,400 sec. Use the method described by panic mode: round the number down until there is only one non-zero digit left. Here, 32,400 rounds down to 30,000. Now count the number of zeroes; the result is the order of magnitude: 4. (You see this in scientific notation also: 30,000 = 3 × 10^4.)
{d(1) = 2.7 d(n) = d(n-1) x (6.1) find the explicit formula for d(n)
d(n) = ?
The explicit formula of the function d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]
How to determine the explicit formula?The function is given as:
d(1) = 2.7
d(n) = d(n-1) x (6.1)
The above means that the function is an exponential function, and it has the following parameters:
First term, d(1) = 2.7
Common ratio, r = 6.1
The explicit formula of an exponential function is:
[tex]d(n) = d(1) * r^{n-1[/tex]
So, we have
[tex]d(n) = 2.7 * 6.1^{n-1[/tex]
Hence, the explicit formula of d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]
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Sally won 40 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?
Answer: Sally has 16 friends
Step-by-step explanation:
she has 40 balls
subtract by how many she gave away
40-8=32
she gave 2 to each friend
divide the balls left by 2
32/2=16
Sally has 16 friends
Write down the reciprocal of 2
what is the slope of the line graphed
Answer: undefined
Step-by-step explanation:
The slope of a vertical line is undefined because there is no rise/run and the slope formula would give you something over 0, which is undefined
Answer:
undefined
Step-by-step explanation:
the slope of the line graphed (a vertical line) is undefined.
No matter how large we set out slope, we will never reach a vertical slope. As we approach infinity, we will get closer, and closer, but we can never fully have a slope of a vertical line.
A slope of 1 means that we move up 1, over 1. A slope of 2 means that we move up 2, over 1. Even if we move up 5000, we still move over at least slightly (with a slope).
It is undefined because it does not run horizontally.
Find the value of
x
y, and
z in the parallelogram below.
If a shape has four sides, then it is a quadrilateral. A square has four sides. (It is asking What is a logical conclusion from the given statements)
A. Therefor, a square is a polygon
B. Therefor, a square is a quadrilateral
C. Therefor, a square has four sides
D. Therefor, a square is a parallelogram
Answer:
B: A square is a quadrilateral
Step-by-step explanation:
What is the quotient? startfraction 3 y 2 over 3 y endfraction divided by startfraction 6 y squared 4 y over 3 y 2 endfraction
The quotient of the expression [tex]\frac{3y+2}{3y} divided \frac{6y^{2} + 4y}{3y + 2}[/tex] is 3y + 2 / 6y
How to find quotient of an expression?
The quotient of the expression can be found as follows:
3y + 2 / 3y ÷ 6y² + 4y / 3y + 2
Therefore,
3y + 2 / 3y × 3y + 2 / 6y² + 4y
Hence,
3y + 2 / 3y × 3y + 2 / 2y(3y + 2)
Therefore,
1 / 3y × 3y + 2 / 2
Hence,
3y + 2 / 2(3y)
3y + 2 / 6y
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If f (x) = 3x²-x, find f (-2).
Answer:
f(-2) = 14
Step-by-step explanation:
put -2 where x is
f(x) = 3x²-x
f(-2) = 3(-2)²-(-2)
f(-2) = 3(4)+2
f(-2) = 12+2
f(-2) = 14
Bill is also planning to buy a condo and he needs to finance $115,000. At which mortgage lender will Bill get the better deal? How much less will Bill pay with this lender?
The better deal based on the information is mortgage A as it's cheaper.
How to calculate the better deal?From the information given, the loan amount for mortgage A will be:
= 3% × $4500
= $135
The loan amount for mortgage B will be:
= 6% × $7500
= $450
From the information, the better deal is mortgage A.
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use your graphing calculator to find the equation of the trend line for the scatterplot below. x y 1 18 2 20 3 24 4 30 5 28 6 33
The equation for the scatter plot will be,y=3x+15. Scatter plots are essential for determining relationships, if any, between the values of observable quantities or occurrences.
What is a scatter plot?A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they may demonstrate the degree of connection,
if any, between the values of observed quantities or events, scatter plots are crucial in statistics.
The equation of the trend line for the scatterplot below will be y=3x+15.
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2. Mikaela counted 2 more turtle nests
on a North Carolina beach than
Diego. If Mikaela counted 38 turtle
nests, which equation could you use
to find the number of turtle nests
Diego counted?
A 2x = 38
B x÷2=38
C x - 2 = 38
D x + 2 = 38