Triangle CDE, with vertices C(-8,-7), D(-2,-8) and E(-5,-2), is drawn on the coordinate grid below.
What is the area, in square units, of triangle CDE?
Answers
Answer:
Area = 24.75 sqr units
Step-by-step explanation:
You will need these formulas:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Midpoint = [tex](\frac{x_{1} + y_{1} }{2} , \frac{x_{2} + y_{2} }{2})[/tex]
Area = b x h
Let us treat CD as the base. Find the length of the base with the distance formula. Use the coordinates for points C & D.
[tex]d = \sqrt{(-2 - (-8))^2 + (-8-(-7))^2}[/tex]
[tex]d = \sqrt{37}[/tex]
The base is [tex]\sqrt{37}[/tex].
The height is the distance between point E and the midpoint of line CD.
Midpoint of CD = [tex](\frac{-8 + (-7) }{2} , \frac{-2 + (-8) }{2})[/tex] = ([tex]-\frac{15}{2}[/tex], [tex]-5[/tex])
Use the distance formula to find the height.
[tex]d = \sqrt{(-5 - (-\frac{15}{2} ))^2 + (-2-(-5))^2}[/tex]
[tex]d = \frac{\sqrt{61} }{2}[/tex]
Find the area with the two distances that were found.
Area = [tex](\sqrt{37}) (\frac{\sqrt{61} }{2})[/tex]
Area = [tex]\frac{\sqrt{2257} }{2}[/tex]
Area = 24.75 sqr units
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2/5x7
Step-by-step explanation:
There is 7 days in one week, so 7•2/5=14/5
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Ben rolls a number cube 50 times. He records the result of each roll in the table below. RESULTS OF ROLLING NUMBER CUBE Outcome 1 2 3 4 5 6 Frequency 7 6 5 11 10 11 Based on the data, which statement is true? Ben will roll an even number about 250 times if the number cube is rolled 500 times. Ben will roll an even number about 220 times if the number cube is rolled 500 times. Ben will roll an even number about 700 times if the number cube is rolled 1,000 times. Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
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Answer:Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
Step-by-step explanation:
ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
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Step-by-step explanation:
Which of the following best describes the vertical cross-section of the cylinder ?
A.
cone
B.
rectangle
C.
triangle
D.
circle
Answers
The shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.
What is a vertical cross section?When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.
For a cylinder, usually it sits on its base and we take a right circular cylinder. When we slice it vertically, we obtain a rectangle, as shown in the figure attached below.
It can be proven that this shape is always going to be rectangular.
Thus, the shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.
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You guy's will get 40 points if you help me!
Answers
Answer:
mean = 5+9+9+6+6+11+8+4/7 = 8.29
median = 6
mode = 6
range = 11 - 4 = 7
Answer:
Step-by-step explanation:
5 , 9 , 6 , 6 , 11 , 8 , 4
Mean = sum of all data ÷ number of data
[tex]= \frac{5+9+6+6+11+8+4}{7}\\\\= \frac{49}{7}\\\\= 7[/tex]
Median: To find median, arrange in ascending order and medianis the middle term
4 , 5 , 6 , 6 , 8 , 9 , 11
Middle term = 4th term
Median = 6
Mode: a number that appears most often is mode
6 appears 2 times
Mode = 6
Range:
Range = maximum value - minimum value
= 11 - 4
= 7
Given that x=6.2•10^12 and y=2•10^-8, find the value of x•2y
Answers
Answer:
Step-by-step explanation:
please help i have a test tomorrow
Answers
Answer:
a
b
e
Step-by-step explanation:
remember length times width equals area
Of the 100 gymnasts at a meet, 34 are boys. Write a decimal for the part of the
gymnasts that are girls.
Answers
Answer:
0.66
Step-by-step explanation:
1.00 - 0.34 = 0.66
Question is in picture
Answers
a^2 + b^2 = c^2 (long hypothenuse side)
1^2 + b^2 = 2^2
1 + b^2 = 4
b^2 = 3
b = square root 3 = 1.7321 round it
Solution: 1.7 ft
Answer: 1.7
Step-by-step explanation: We can use the pythagorean theorem!
A² + B² = C²
1² + B² = 2²
1 + B² = 4
4 - 1 = B²
3 = B²
√3 = B
1.7 = B
Hope this helps :)
Help me please with this problem!!
Answers
Answer:
139°
Step-by-step explanation:
Corresponding angles theorem:
When a transversal line intersects two parallel lines, the angles formed from the intersection are congruent in pairs. For example with your problem, using the Corresponding Angles Theorem (one of the few theorems/postulates used to find angles on transversals), the angles are paired on the same place on the first parallel line as they are on the second. Since the corresponding pair of (x)° is given, the angle of x is given. (x)° = 139°
I've provided an image courtesy of tutors.com that will help remember corresponding angles for you.
Ariana has 99 oranges. She has to pack 9 boxes with an equal number of oranges. How many oranges should she pack in each box?
Answers
Answer:
11 oranges in each box
Step-by-step explanation:
99/9=11
Answer: 11 oranges in each box.
Step-by-step explanation:
Division is used to evenly separate totals into groups (total/#of groups= Quotient per group).
In this case, we divide the total, 99 oranges, by the amount of groups we want, which is 9 boxes, in order to find an even amount for each box from the total oranges.
So, 99/9= 11 oranges per box
PLEASE HELP!! I only have 5 mins
Answers
You want to create a triangle with sides of a, b, and c. Which of the following inequalities should be true?
a+b c
a-b>c
a-b
Answers
A distribution is positively skewed if which of these statements is true about
the dot plot that represents it?
A. The left tail is longer than the right.
B. The left side is a mirror reflection of the right side.
C. The right tail is longer than the left.
D. The left tail is equal in length to the right tail.
Answers
Answer:
c the right tail is longer than the left
Step-by-step explanation:
Carmen has 8 popsicles in her freezer: 3 grape, 2 cherry, 2 orange and 1
strawberry. If Carmen takes one popsicle out without looking, eats it, and then
takes another popsicle out without looking, what is the probability that both
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Answer:
2/8 or 1/4
Step-by-step explanation:
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Answer: the answer is b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
first add them together. the y cancels out and your left with 3x=15. divide by 3 on both sides and you get x=5. The only answer with positive 5 as an x value is b
Help is much needed. You will get lots of point too!
Answers
Para resolver un sistema de ecuaciones lineales 2x2 por el método de sustitución se debe tener en cuenta:
A) consiste en despejar la misma incógnita en las dos ecuaciones y después igualar los resultados. En primer lugar, elegimos la incógnita que deseamos despejar. En este caso, empezaré por la «x» y despejo la misma en ambas ecuaciones.
B) debemos saber representar las gráficas de las rectas. Nosotros lo haremos uniendo puntos calculados previamente. Terminaremos con un sistema de dos inecuaciones (o desigualdades). En este caso, la solución del sistema es la intersección de dos regiones del plano.
C) es un método lineal ya que no se basa en despejes, se utilizan procesos algebraicos estructurados.
D) consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtendremos una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculamos el valor de x sustituyendo el valor de y que ya conocemos.
AYUDA PLS
Answers
Answer:
El método de igualación consiste en despejar la misma incógnita en las dos ecuaciones y después igualar los resultados.
Los pasos a seguir son los siguientes:
sistema de ecuaciones
En primer lugar, elegimos la incógnita que deseamos despejar. En este caso, empezaré por la «x» y despejo la misma en ambas ecuaciones.
x+y=7; x=7-y
5x-2y=-7; 5x=2y-7
x=(2y-7)/5
Una vez hemos despejado, igualamos:
7-y = (2y-7)/5
5.( 7-y) = (2y -7)
35 -5y= +2y -7
42=7y
y=42/7=6
y=6
Por último, sustituimos el valor que hemos calculado despejando la otra incógnita en una de las ecuaciones iniciales.
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Answer:
4 centimetres per hour.
Step-by-step explanation:
Find the value of x that makes the quadrilateral a parallelogram.
6x
3x + 2
X=
Answers
Answer:
15
Step-by-step explanation: simple math
Answer:
2/3
Step-by-step explanation:
6x = 3x+2
3x = 2
x = 2/3
In a certain chemical, the ratio of zinc to copper is 3 to 14. Ajar of the chemical contains
546 grams of copper. How many grams of zinc does it contain?
It contains grams of zinc
Answers
Answer:
Given -
In a certain chemical, the ratio of zinc to copper is 4 to 13.
The chemical contains 546 grams of copper.
Prove -
How many grams of zinc does it chemical contain.
Answer
suppose that scalar multiple of the zinc and copper be y .
As given
In a certain chemical, the ratio of zinc to copper is 4 to 13.
The chemical contains 546 grams of copper.
Than equation is
13y = 546
13y = 546
y = 42
Zinc contain in the certain chemical = 4y
= 4 42
= 168 grams
Therefore 168 grams of zinc contain in a certain chemical .Step-by-step explanation:
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Answer:
3.3
Step-by-step explanation:
A closed plain forgive with all sides congruent and all angles congruent is called a
Answers
Answer:
Polygon. A closed plane figure for which all sides are line segments. The name of a polygon describes the number of sides. A polygon which has all sides mutually congruent and all angles mutually congruent is called a regular polygon.
What does 5/9 + 1/3 equal to?
Answers
1/3+5/9= 8/9
Answer:
= 5/9 + 1/3
=5/9 + 3/9
= 5+3/9
=8/9
Please help if you wantbbrainleist! :(
Answers
Why is it important to know the background of a poet.
Answers
Answer:
To understand their poems better
Step-by-step explanation:
First you have a general knowledge on why the author made the poem
Second you now have more info to use in order to understand the poems
Third is the same reason why there are people in history books.
The longer piece of wood has dimensions of 1 inch by 1 inch by 8 inches. The
Short piece of wood has dimensions of 1 inch by 1 inch by 4 inches. How many
square inches of paint would be needed to cover all sides of this object?
Answers
half of 1/2 cake = _____ cake.
Answers
Answer:
well
Step-by-step explanation:
please add the image
Applying the knowledge of fractions, half of 1/2 cake = 1/4 cake.
Multiplying FractionsWe are asked to find how many parts of are there in half of one-half of a cake.
Thus:
half = 1/2
1/2 of 1/2 cake = 1/2 × 1/2 (of = multiplication)
= (1 × 1)/(2 × 2)
= 1/4
Therefore, applying the knowledge of fractions, half of 1/2 cake = 1/4 cake.
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