C (-1,-7), A (1,4), T (5, 1). What kind of triangle is CAT? Calculate the area and the perimeter of CAT.
Answers
A) Right Angle Triangle
B) 25 units²
C) (15 + 5√5) units
Figure Their Length:[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between C and A
[tex]\rightarrow \sf CA = \sqrt{(1 - (-1))^2 + (4 - (-7))^2} \ = \ 5\sqrt{5}[/tex]
Distance between C and T
[tex]\rightarrow \sf CT = \sqrt{(-1-5)^2+(-7-1)^2} \ = \ 10[/tex]
Distance between A and T
[tex]\rightarrow \sf AT = \sqrt{(1-5)^2 +(4-1)^2} \ = \ 5[/tex]
Part A:
When drawn on graph, we can identify it is a right angle triangle.
Or use Pythagoras Theorem:
10² + 5² = (5√5)²
125 = 125... Hence it is a right angle triangle confirmed.
Part B:
Area of triangle = ½ × base × height = ½ × 10 × 5 = 25 units²
Part C:
Total Sum or measure of all sides: 5 + 10 + 5√5 = 15 + 5√5 units
Related Questions
Question 16
The triangular prism below represents the shape of Sylvia's tent.
Sylvia's Tent
6 feet
6 feet
10 feet
8.5 feet
What is the volume of the tent in cubic feet?
C 255
D 360
A 180
B 241
1 point
Answers
Answer:
180^3'
Step-by-step explanation:
6x6=36.
36x10=360.
360 divided by 2= 180.
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Super Sprouts children's store is having its annual spring sale, when every item in the store gets marked down. During the sale, pajama sets sell for $6 less than full price. Mrs. Rodriguez purchases 4 matching pajama sets: one for each of her children. She pays a total of $68. How much does each pajama set cost at full price? $
Answers
Answer: $23
Step-by-step explanation:
She buys four pajama sets for $68:
-> Divide total by 4
$68 / 4 = $17
The sets are on sale for $6 less:
-> Add 6 to individual price
$17 + $6 = $23
Full price:
$23
Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3. Which represents the number of antique flower vases Christine can buy?
Answers
Answer:
a ≤ 20
Step-by-step explanation:
a = number of lower vases, in $
3a = cost of a flower vases, in $
10 + 3a = = cost of $10 worth of flowers plus a vases
10 + 3a ≤ 70 says that the cost of Christine's flowers and vases purchase
must be less than, or at most equal to $70.
Subtracting 10 rom both sides of the inequalour
gives us an equivalent inequality
3a ≤ 70 - 10 <---> 3a ≤ 60
Multiplying (or dividing) both sides by a positive number
gives us an equivalent inequality, so
a ≤ 60/3 <---> a ≤ 20
what is 4,649 divided by 39
Answers
Answer:
[tex]4649 \div 39 = 119.205128295[/tex]
Step-by-step explanation:
I hope it's help u
Answer:
119 R 8
Step-by-step explanation:
convert 4649 to tens place, write 1
46 - 39 = 7
drop the 4 in the tens place, write 1
74 - 39 = 35
drop the 9 in the ones place, write 9
359 - 351 = 8
• For each time we got 39 or another number, we wrote the multiple of that number we used to get the result.
• We got the remainder by the general subtraction.
Use the graph below to answer the question that follows: graph of the curve that passes through the following points, 0, 3, pi over 2, 5, pi, 3, 3 pi over 2, 1, 2 pi, 3. What is the rate of change between the interval of x = 0 and x = pi over two? a two over pi b pi over two c pi over four d four over pi
Answers
Answer:A
nswer is D. four over pi
Step-by-step explanation:
x1=0, y1=3
x2=pi/2, y2=5
rate of change = (y2-y1)/(x2-x1)
=(5-3)/(pi/2-0)
=4/pi
if A=-3+5i, B=4-2i and C=1+6i, where i is imaginary unit, then A-BC equals to what?
Answers
Multiplication is the process of multiplying. The value of A-BC is equal to -19-17i.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The value of BC is,
BC = (4-2i)×(1+6i)
BC = 4 + 24i - 2i -12i²
BC = 4 + 22i - 12(-1)
BC = 4 + 22i +12
BC = 16 + 22i
Now, the value of A-BC will be equal to,
A-BC = (-3+5i)-(16+22i)
= -3+5i-16-22i
= -19 - 17i
Hence, the value of A-BC is equal to -19-17i.
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Question 1:
Your goal this year is to earn a B or better in Algebra class.
If you do, your parents said they would give you $200.
Write an inequality to represent the grades you can earn
and receive money from your parents for it. Then explain
the graph for the inequality. Hint: Remember you cannot
earn higher than a 100 in any class.
Answers
[tex]b \geqslant x \leqslant a[/tex]
let f(x) = x-3 and g(x) =x^2 find f(g(4))
Answers
Answer:
f(g(4)) = 13.
Step-by-step explanation:
g(4) = 4^2 = 16
so f(g(4)) = f(16)
= 16 - 3
= 13.
Which is a property of polygons?
A polygon is a plane figure.
A polygon is a solid figure.
A polygon has a maximum of 100 sides.
A polygon is an open figure.
Answers
Answer:
The answer is, A polygon is a plane figure,
it has no limit in the number of sides, its not an open figure, its not a solid
Step-by-step explanation:
Hope it helps
Answer:
A Polygon is a plane figure
Step-by-step explanation:
Properties of polygon:
1. A polygon is a plane figure with line segments. Two dimensional figure.
2. A polygon has minimum 3 sides and has maximum limit.
3. The sum of all interior angles of the polygon is given by (n -2)*180 where n is the number of sides.
4. The sum of exterior angles of any polygon is 360
PLEASE HELP I NEED QUICK!!!
Answers
3/4 cups of dry rice can make 3 cups cooked rice
1 cup dry ice can make
3÷3/43×4/34cupsThe base diameter and the height of a cone are both
equal to x units.
Answers
Answer:
π x³ /12 is the volume of the cone if A cone has a height of x and a diameter of x
Step-by-step explanation:
The base diameter and the height of a cone are both equal to x units
Diameter of cone = x units
Radius = Diameter /2
=> Radius of cone = x/2 units
Height of cone =x units
Volume of cone = (1/3) π r²h
r = radius h = height
=> Volume of cone = (1/3)π (x/2)² * x
= (1/3) π (x²/4) * x
= (1/12) π x³
= π x³ /12 cubic units
A zoo measured the wingspan, in millimeters, of 9 butterflies.
55, 50, 54, 57, 50, 55, 53, 52, 55
What is the median length of the wingspans?
50 mm
54 mm
55 mm
57 mm
Answers
Explain the meaning of the scale 1 :2.5
Answers
Solve the inequality and graph the solution
x +1 2/5 _< 6 8/10
Answers
Answer: x < 5 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{8}{10}[/tex]
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{4}{5}[/tex]
x < 5 [tex]\frac{2}{5}[/tex]
graph is attached
What are some key features of sequence and series graphs?
Answers
Answer:
The key features that are unique to the graphs of sequences and series are that they are discrete.
Explanation:
That means that the graph is not a continuous line or curve that joins all the points. On the contrary, the graph is a set of separated dots, because the values are valid only for specific points.
Anyone could help out with this
Answers
Answer:
C
Step-by-step explanation:
The answer is the orange one because pie * radius^2 leads to the area of the circl.e
Find the length of arc XPY. Leave your answer in terms of pi.
Answers
Answer:
2π m.
Step-by-step explanation:
Arc XY is 1/4 of the circumference of the circle
= 1/4 * 2π * r
= 1/2 π * 4
= 2π m.
can you please answer and explain this question
Answers
Answer:
mean: 106900
median: 8500
mode: 7,000, 8,000, and 11,000
Step-by-step explanation:
To calculate mean, add them all together and divide the number of how many numbers it has. For median make out the sequence from small to large. For this one is 5,000, 7, 000, 7,000, 8,000, 8,000, 9,000, 10,000, 11,000, 11,000, 1,000,000. The middle is between 8,000 and 9,000 so find it's middle number. The mode is the number that appears the most. In this case 7,000, 8000, 11,000 all appeared twice so they are the mode.
What is the perimeter of a triangle with sides 11 inches, 6 inches, and 13 inches in length? 11 6 A 19 inches 28 inches C 30 inches 17 inches 13 B
Answers
Answer:
The answer is C
Step-by-step explanation:
The explanation is to add all the sides together and then get your answer
Give one solution for in each of the following statements.
25≡ 5
36≡ 8
50≡ 9
Answers
So
#1
25=5xx=25/5x=5#2
36=8xx=36/8x=9/2x=4.5#3
50=9xx=50/9x=5.55Answer:
25 = 5
x = 25 - 5
x = 20
38 = 8
x = 38 - 8
x = 30
50 = 9
x = 50 - 9
x = 41
Please help me. I need to find the limit. I WILL give you BRAINLIEST!
Answers
Answer:
-1
Step-by-step explanation:
The answer of this question is -1
Find p write your answer in simplest radical form
Answers
Answer:
sqrt (98)
Step-by-step explanation:
The two 45 degree angles result in equal length legs in this right triangle ..
use pythagorean theorem
7^2 + 7^2 = p^2
sqrt (98) = p
A coordinate plane. Point A is plotted at (2, 7). Point B (2, 1). Point C (9, 8). Point D (8, 3). Point E (7, 7). A point has been translated right and up. The image of the point is point E. What point is the pre-image of point E? A B C D
Answers
Answer:
It's B
Step-by-step explanation:
Source: Trust me bro
Plus I just got done doing it
sixty students were surveyed at random about their favorite music genre. Out of population 1,000 students, how many how many will prefer pop music?
Answers
So we want to know how many out of 1000 people did not listen to any type of the three music types that were surveyed If 30% of people listened to pop, 26% of people listened to rock and 20% of people listened country music. So first lets see how many people liked the three types of music: 30%+26%+20%=76%. So 24% of people did not like the three types of music that were surveyed. Finally we need to see how many people in 1000 is 24%. 24% out of 1000 people is 0.24*1000=240 people. So 240 people didn't like the 3 types of music.
Please help me!
Some loose change (pennies, nickels, dimes, and quarters) found behind the couch. Brianna noticed more than half the coins were pennies. Geofrey noticed that there was at least one coin of each type. Michele noticed that you could not make change for the same amount using fewer coins. In the space below, write the total amount of change, in cents, that was found.
Answers
The total amount of change, in cents, that was found is determined as 96 cents.
Total amount of change
The total amount of change is calculated as follows;
let the total = T
there was at least one coin of each type
T = p + n + d + q
more than half of the coins were pennies
[tex]\frac{p+n + d + q }{2} \leq p[/tex]
Value of the coinspennies = $0.01nickels = $0.05dimes = $0.1quarters = $0.25more than half = pennies
next, we have; nickels + dimes + quarters
number of dimesy(dimes) = $0.25
y(0.1) = 0.25
y = 0.25/0.1
y = 2.5 ≅ 3
dimes = 3 coins
number of nickelssince dimes = 3 coins, number of nickels is now calculated as;
x(0.05) = 3(0.1)
x = (0.3)/(0.05)
x = 6 coins
nickels = 6 coins
Total coinsTotal coins = nickels + dimes + quarters + pennies
pennies must greater than 6 coins, since we can't have fewer coins.Total coins = nickels + dimes + quarters + pennies
let pennies = 7
Total coins = 6 + 3 + 1 + 7
Total coins = 17
half of 17 = 8.5
7 is less than half (8.5), number of pennies cannot be 7, since more than half of the coins are pennies.
let pennies = 11
Total coins = 6 + 3 + 1 + 11
Total coins = 21
half = 10.5
11 is more than half (10.5)more than half = number of pennies = 11
Total amount in cents11($0.01) + 6($0.05) + 3($0.1) + 1($0.25) = $0.96 = 96 cents
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What is the slope of a line parallel to the line whose equation is x + y = -7. Fully
simplify your answer.
Answers
Answer:
slope = - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + y = - 7 ( subtract x from both sides )
y = - x - 7 ← in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
then the slope of a line parallel to it is - 1
A lion can run at a speed of 1.43 kilometers per minute. How fast can the lion run in miles per hour
Answers
The loin's speed in miles per hour will be 53.31 miles per hour.
What is velocity?Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
It is given that:-
lion can run at a speed of 1.43 kilometres per minute.How fast can the lion run in miles per hourNow to find the speed of a lion in miles per hour we have the following relationship.
[tex]1\ \ \ \dfrac{KM}{min} \ = \ 37.28\ \ \ \ \dfrac{Miles }{hour}[/tex]
[tex]1\ \ \ \dfrac{KM}{min} \ \times 1.43\ = \ 37.28 \times 1.43\ \ \ \dfrac{Miles }{hour}[/tex]
[tex]1.43\ \ \ \dfrac{KM}{min} \ = \ 53.3\ \ \dfrac{Miles }{hour}[/tex]
Therefore the loin's speed in miles per hour will be 53.31 miles per hour.
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What is the equation of the line written in slope-intercept form that passes through the point (-1, 5) and is parallel to the line y = -2x – 5?
Answers
Answer:
Step-by-step explanation:
y - 5 = -2(x + 1)
y - 5 = -2x - 2
y = -2x + 3
Question 2(Multiple Choice Worth 1 points)
(06.01 MC)
Classify the expression: −2x
A: Quadratic expression
B: Linear expression
C: Cubic expression
D: Exponential expression
Answers
Answer:
it is a linear expression
Answer:
B. Linear expression
Step-by-step explanation:
What is
24
1,000
as a decimal?
