Answer:
The coordinates of the fourth vertex are (8,5)
Step-by-step explanation:
We need to take note that a rectangle is a shape that has 4 sides, with two of them of equal length.
It will also help if we can visualize the points on the graph.
We are given the location of three of the four vertices. These are (6,3), (6,5) ,and (8,3). Let the 4th Vertice be (x,y)
The length of the triangle can be obtained by subtracting the y-coordinates of the vertices.
(6,3) - (6,5)
This will be +3 and +5
5-3 =2
Therefore, the length of the triangle is 2 units on the left side.
Recall that the length of the left side has to be equal to the length of the right side.
Therefore
y-3 =2
y = 5
We will repeat the same process to get the x-coordinate from the breadth
Breadth = 8-6 =2
x-6 =2
x=8
Hence the x = 8
Therefore, the coordinates of the fourth vertex are (8,5)
NEED HELP ASAP PLEASE SHOW WORK
Step-by-step explanation:
—Mathx² – 2x + 7 = 4x – 10
x² –2x – 4x + 7 + 10= 0
x² –6x + 17 = 0
If John deposits $525 in a savings account and his account pays an annual interest rate of 5.5% and makes no other deposits and withdrawals what is the simple interest earned for 5 years , 5 months , and 5 days
Answer:
The amount of simple interest earned is $156.79
Step-by-step explanation:
Mathematically;
Simple interest = PRT/100
From the question;
P = $525
R = 5.5%
T ; to get this, we need to make the numbers agree;
We do this by dividing number of months by 12 and number of days by 365
So 5 years, 5 months and 5 days will be;
5 + 5/12 + 5/365 = 5.43
So, using this in the simple interest calculations, we have;
S.I = (525 * 5.5 * 5.43)/100
S.I = $156.79
15. If 40% of the students in your class are women and 50% of the women have brown hair,
which of the following describes the percentage of the students in your class who are
women with brown hair?
(a) (40%) (50%) = 20%
(b) 50% - 40% = 10%
(c) 40% + 50% = 90%
(d) The percentage of women cannot be determined from the given information.
Please helpppppp
Given m
11
n, find the value of x and y.
(9x+1)
m
jo
(7x+13)
n
Answer:
x = 6
y° = 125°
Step-by-step explanation:
9x + 1 and 7x + 13 are alternate angles and has same measurement
9x + 1 = 7x + 13
9x - 7x = 13 - 1
2x = 12
x = 6
y° and 7x + 13 are supplementary angles so their sum is 180°
7x + 13 ➡ 7×6 + 13 = 55°
55 + y° = 180 subtract 55 from both sides
y° = 125°
a marathon swim follows a triangular course marked with three buoys, a, b, and c. the distance from buoy a to b is 400 meters, b to c is 500 meters, and c to a is 600 meters. what is the largest angle the swimmers must turn between the buoys? 97.181° 82.819° 55.771° 41.410°
The largest angle the swimmers must turn between the buoys is 82.8°. Therefore, option B is the correct answer.
Given the following data:
Side AB = c = 400 meters.
Side BC = a = 500 meters.
Side CA = b = 600 meters.
How do determine the largest angle?In order to determine the largest angle at which the swimmers must turn between the buoys, we would apply the law of cosine.
Form the law of cosine, for angle C we have:
cos C= (a²+b²-c²)/2ab
=(500²+600²-400²)/2×500×600
=450000/600000
cos C=0.75
⇒C=41.4°
For angle B we have:
cos B= (a²+c²-b²)/2ac
=(500²+400²-600²)/2×500×400
=1/8
cos B=0.125
⇒B=82.8°
For angle A, we have:
cos A= (b²+c²-a²)/2ac
=(600²+400²-500²)/2×600×400
=9/16
cos A=0.5625
⇒A=55.8°.
The largest angle the swimmers must turn between the buoys is 82.8°. Therefore, option B is the correct answer.
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the lengths of the sides of a triangle are 14, 15, and x. What are all of the possible values of x?
Answer b and e
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
did test
Heather has a weighted coin that has a 60% chance of landing on heads each time it is flipped. She is
going to flip the coin 5 times.
Which of the following would find the probability of Heather getting exactly 3 heads in 5 flips of her
weighted coin?
Choose 1 answer:
60
3
(0.60) (0.40)
© (1) (3)06 (2)04
(3) (0.60)*(0.40)
(5
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
How many students voted for each
participant?
Answer:
12 people voted for Matthew and 18 people voted for Diana.
Step-by-step explanation:
1. Multiply 30 by 0.4 to get 12.
2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.
find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points
(x, y, z) = (k, 0, 0) + α (0,0,1) - this is the equation is parallel to the z-axis and passes through the midpoint between the two points.
What is slope of a parallel line?The slant of a line is registered as for the positive x-hub and the equal lines are similarly disposed regarding the positive x-pivot. At the point when planets are a similar distance yet on inverse sides of the divine equator they are alluded to as being contra-equal. The equal lines are similarly disposed with the positive x-pivot and thus the incline of equal lines is equivalent. Equal lines and their inclines are simple. Since incline is a proportion of the point of a line from the level, and since equal lines should have similar point, then equal lines have similar slant and lines with a similar slant are equal. Opposite lines are somewhat more muddled.
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Identify the parent function of the function whose graph is shown below.
Provide your answer below:
f(x)=
Answer:lxl
Step-by-step explanation:
In the following diagram k || h. Which of the following is m<1?
(1) 12°
(3) 84°
(2) 54°
(4) 126°
Answer:
54
Step-by-step explanation:
im sorry if its wrong
The reequired measure of the angle m is given as 84°.
Given that,
A diagram of the parallel is shown we have to determine the measure of the angle.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
∠1 = 180 - 42 - [180-126]
∠1 = 180 - 42-54
∠1 = 84°
Thus, the required measure of the angle m is given as 84°.
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3 packs of pens costs $13.85, how many packs of pencil can we buy for $39.60? Form Proportion first
Answer:
8 Packs
Step-by-step explanation:
If you set up the form proportion:
(3packs/$13.85) x ($39.60/1) = 8.5777
Since you can not purchase half a pack, the answer rounds down leaving you with 8 packs of pens.
50 pts!
Find the product.
(2x2 - 4x + 1)(5x - 7)
Answer:
10x^3-34x^2+33x-7
Step-by-step explanation:
The airfare from peshawar to karachi of an airline is rupees 5700 .what will be the selling price of this ticket if rupees 1500 airport tax and gst at the rate of 16.5% are included.
The selling price of the ticket is rupees 8140.5 if a person travelling from Peshawar to Karachi.
What GST means?
GST is a single tax on the supply of goods and services, right from the manufacturer to the consumer
The airfare from peshawar to karachi of an airline is rupees 5700 .
what will be the selling price of this ticket if rupees 1500 airport tax
and GST at the rate of 16.5% are included.
since GST is calculated on 5700 at the rate of 16.5%
then 5700 * ( 16.5)/100
= 57 * 16.5
= 940.5
then selling price of ticket is sum of all the value
that is 5700 + 1500 + 940.5 = 8140.5
Hence , the selling price of the ticket is rupees 8140.5 if a person travelling from Peshawar to Karachi.
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5th grade math. Correct answer will be marked brainliest.
Answer:
45.2 × 10⁰ = 45.2 (a⁰ = 1 )
45.2 × 10¹ = 452
45.2 × 10² = 4520
45.2 × 10³ = 45200
Answer:
My siblings ALWAYS have think central, its annoying.
Step-by-step explanation:
1. 45.2
2. 452
3. 4520
4. 45200
Its like moving the place value and adding a 0. I used Desmos Scientific Calculator to check my answers.
Students will randomly select a tile from a bag containing one red, one yellow, one blue, and one green tile, and then roll a cube with faces numbered 1 through 6. What is the probability that a student draws a red or yellow tile, and rolls a number between 1 and 3.
Answer:
[tex]\bold{\dfrac{1}{4}}[/tex]
Step-by-step explanation:
Number of red tiles = 1
Number of yellow tiles = 1
Number of blue tiles = 1
Number of green tiles = 1
Total number of tiles = 4
Also, given that there is a standard dice with faces numbered from 1 to 6.
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
First of all, let the event [tex]A[/tex] be event that a red or yellow tile is chosen.
Number of favorable cases = 2
Total number of cases = 4
[tex]P(A) = \dfrac{2}{4} = \dfrac{1}{2}[/tex]
Let the event [tex]B[/tex] be event that a number between 1 and 3.
Number of favorable cases = 3
Total number of cases = 6
[tex]P(B) = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
[tex]P(A\ and\ B) = P(A).P(B)[/tex]
[tex]P(A\ and\ B) = \dfrac{1}{2}.\dfrac{1}{2} = \bold{\dfrac{1}{4}}[/tex]
Answer:
1/4
Step-by-step explanation:
Determine the intercepts of the line.
y = -32 + 12
y-intercept:
x-intercept:
Answer:
y-intercept: 12
x-intercept: unknown
Step-by-step explanation:
I think you meant y=-32x+12.
rewrite the equation 6=9(x+3) using distributive property
Which point lies on the circle x^2+y^2=100?
A) (0,-100)
B) (10,-10)
C) (10,0)
D) (25,75)
Answer:
C) (10,0)
Step-by-step explanation:
Option C is the correct answer.
I NEED HELP PLEASE!!!!,!,!,!
Answer:
The answer is C because 11 cubed is 33 and 3 by the power of the square root of 11 is 33
What is the first step when solving the equation?
2x - 31 = -9x + 24
subtract 9x from both sides
add 9x to both sides
add 2x to both sides
A jug of orange juice requires 3 cans
of orange concentrate and 5 cans of
water.
a) Accidentally, 4 cans of
concentrate were mixed with 5
cans of water. Is the mixture
stronger or weaker than it
should be? Explain.
b) Suppose 6 cans of water were
mixed with 3 cans of
concentrate. Is the mixture
stronger or weaker
than it should be? Explain.
Answer:
the answer is is 12 bc 4 - 5 - 6 - 3= 12
Marisha wants to measure the volume of a rock. She pours water into a graduated cylinder and it measures 200 mL. Then she drops the rock in it, and measures the water level at 297.5 mL. The volume of the rock is the difference between the water level before and after. What is the volume of the rock
Answer:Volume of Rock= 97.5ml
Step-by-step explanation:
STEP 1
Finding the volume of rock using the graduated cylinder that measures volume of liquid can be done by determining how much water is being displaced by the rock after submersion.
Step 2
Volume of water before adding rock = 200mL
Volume of water after adding the rock = 297.5mL
Volume of rock =Volume of water after adding the rock - Volume of water before adding rock
Volume of Rock = 297.5-ml 200ml
= 97.5ml
What’s the answer for this question?
Answer:
d.
Step-by-step explanation:
you would put 4 in the x places and 2 in the yplaces and then you would distribute 4^2 +3(2)/4(2)
16+6/2=22/8=2 3/4
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form. Help?
Answer:
2x-4 is the slope
Step-by-step explanation:
the -4 is the y number. slope is rise/run so it goes up 2 over 1 making it 2x
In the morning Josh completed a hike on a 5/14 mile trail. In the afternoon he completed a hike on a second trail using his pedometer to keep track of the miles. The pedometer measured 3.35 miles for the second trail. What is the total number of miles Josh hiked? Enter your answer as a decimal to the nearest tenth.
Answer:
Total distance travel = 8.60 miles
Step-by-step explanation:
Given:
Distance of 1st trail = [tex]5\frac{1}{4}[/tex] miles = 5.25 miles
Distance of 2nd trail = 3.35 miles
Find:
Total distance travel
Computation:
Total distance travel = Distance of 1st trail + Distance of 2nd trail
Total distance travel = 5.25 + 3.35
Total distance travel = 8.60 miles
50% of the tickets sold at a water park were child tickets. If the park sold 86 tickets in all, how many child tickets did it sell
Answer:
43 tickets
Step-by-step explanation:
50% of 86 (86 x .5) = 43
Answer:
43
Step-by-step explanation:
If in total you have 86 sold split to 50 and you get 43
the vertices of an isosceles triangle are a(-10, 1), b(-6, 3) and c(-4, 7). what is the equation of the triangle's line of symmetry?
The equation of the triangle's line of symmetry is Y= X+10.
Equation: The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Symmetry: Symmetry means that one shape is identical to the other shape when it is moved, rotated, or flipped. If an object does not have symmetry, we say that the object is asymmetrical. The concept of symmetry is commonly found in geometry.
Isosceles triangle is a triangle that has at least two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
It is given that an isosceles triangle with sides A(-10,1) ; B (-6,3) ; C(-4,7) is drawn and we notice that, the mid point of AB is the perpendicular bisector of the line AB.
Mid point of AB = (-8,2)
Slope of AB = [(-10) - (-6)] / (1 - 3)
=> -4 / -2
=> 2
Slope of perpendicular bisector of AB = 1
Equation of the line of symmetry = (Y - 2) = 1 [X - (-8)]
=> Y - 2 = X + 8
=> Y= X+10
Therefore, the equation of the triangle's line of symmetry is Y= X+10.
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In numbers 8 & 9, graph f(x). Show all asymptotes and/or holes, x- & y-intercepts, and end
behavior.
8) f(x) =
x2 - 7x + 12
x-4
6
y-int:
HA:
Hole:
6
VA:
6
X-int:
8
10
Answer:
8fx=;x2-7x+12;x-4;6
Step-by-step explanation:
x2" was replaced by "x^2".
Write an algebraic expression
1. Four less than twice a number
2. The quotient of three times a number and 10
PLEASE HELP ASAP