Answers
Answer:
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Step-by-step explanation:
C = (0, 7)
Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.
Therefore, plug x = 0 in y = 2x +1, we find:
y = 2*0 + 1 = 0 + 1 = 1
Hence, coordinates of point A are (0, 1).
Now, by distance formula:
[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]
[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]
[tex] AC= \sqrt{0 +36 }[/tex]
[tex] AC= \sqrt{36 }[/tex]
[tex] AC= 6\: units[/tex]
Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:
[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]
[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]
[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]
[tex] CB =\frac{6}{2.24} [/tex]
[tex] CB =2.68\: units [/tex]
By Pythagoras Theorem:
[tex] AB=\sqrt{AC^2 - CB^2} [/tex]
[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]
[tex] AB=\sqrt{36 - 7.18} [/tex]
[tex] AB=\sqrt{28.82} [/tex]
[tex] AB=5.36842621\: units [/tex]
[tex] AB\approx 5.37\: units [/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]
[tex] A(\triangle ABC) = 7.1958[/tex]
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Related Questions
I need help due tmmr
Answers
Answer: C.
Step-by-step explanation:
The answer is C. i believe
You have to subtract 2 by 7x = 33
I hope this helps!
is saving money to buy a game. So far he has saved $36, which is three-fourths of the total cost of the game. How much does the game cost?
PLS HELP ME IM GIVING 10 POINTS FOR THIS!
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what is the length of line segment FH?
Answers
Answer:
19 is the answer
Step-by-step explanation:
15+4=19
Answer:
Hi how are you doing today Jasmine
5. There are three different colored M&Ms
red, green, and white. The probability of
selecting a red M&M is 2/5 and the probability
of selecting a green M&M is 1/4 so what is the
probability of selecting a white M&M?
Answers
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m!
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple! (this means that 20/20 is the total number of all m&m, by the way. )
[tex]\frac{2(4)}{5(4)}[/tex] + [tex]\frac{1(5)}{4(5)}[/tex] = 8/20 + 5/20 = a
20/20 - a = ?
ANSWER: 7/20
The probability of selecting a white-colored M&M is 7/20.
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple (this means that 20/20 is the total number of all m&m, by the way. )
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
8/10 +5/20 = 8/20 + 5/20 = a
20/20 - a = ?
Therefore the probability of selecting a white M&M is 7/20.
To learn more about probability visit:
https://brainly.com/question/24756209
#SPJ2
A rectangle has a width of 8 units and a
length of 10 units. What is the length of the
diagonal of this rectangle
Answers
Answer:
12.8 units
Step-by-step explanation:
Adding a diagonal makes it into 2 of the same right-angled triangles.
In right angled triangles, you can use Pythagoras' therorem which says that a^2+b^2=c^2 where a and b are the shorter sides and c is the diagonal.
This means that 8^2+10^2=diagonal^2=64+100=164
The diagonal is then the square root of 164 which equals 12.806248...
Subtract the cube root of the product of x and 3y from the square of the sum of a and b.
Answers
Answer:
a^2 + b^2 + 2ab - (3xy)^1/3
Step-by-step explanation:
Here we want to make a subtraction
Cube root of the product of x and 3y
x * 3y = 3xy
Cube root of this;
(3xy)^1/3
The sum of a and b is (a + b)
Square of this sum;
(a + b)^2 = a^2 + 2ab + b^2
Now, subtract the cube root
we have;
a^2 + b^2 + 2ab - (3xy)^1/3
Kinda confused on this one so it would be helpful to answer this for 30 points! And marked!
Answers
Answer:
acute
Step-by-step explanation:
straight is just a straight line, 180 degrees perhaps
right is exactly 90 degrees
obtuse is over 90 degrees
At Pete's pizza, the cost of a 1 topping pizza is $17.35 and the cost of a 3 topping pizza is $21.05.
Assuming the cost of a pizza follows a linear model, write an equation that represents C, the cost of any pizza with t,toppings.
Answers
Answer:
3
Step-by-step explanation:
17.35 * 3
A ratio that compares a number to 100 is called a percent. True or False?
Answers
Answer:
True
Step-by-step explanation:
The statement "a ratio that compares a number to 100 is indeed called a percent" is true.
Percentages are used to express proportions or ratios out of 100. They are commonly denoted by the symbol "%."
Percentages provide a convenient way to represent fractions or parts of a whole in a standardized and easily understandable format.
For example, if a student scores 85 out of 100 on a test, it can be expressed as 85%, indicating that the student achieved 85 out of possible 100 marks.
Thus, the statement "a ratio that compares a number to 100 is indeed called a percent" is true.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ6
Write an expression, in its simplest form, for the volume of this cuboid:
Answers
Answer:
volume of cuboid=l×b×h
=2x+7+x+5
Answer:
volume of cuboid= l×b×h=(2x+7)x×5=5x×2x+5x×7
=10x²+35x
Which of these numbers lines is the X-axis?
Answers
Answer:
the one going this way -------------------------- not up and down
Step-by-step explanation:
Answer:
Step-by-step explanation:
the one on the right
Lol helpppppppp meee plsssss!!!!
Answers
Answer:
83.3%
Step-by-step explanation:
5/6~=0.833
which is 83.3%
New York and Chicago are 4 inches apart on a map if the scale on a map is 1/2 inch equal 100 miles how many miles is it from New York to Chicago
Answers
1 inch equal 200 miles
4.-2+ (-8)
I was wondering what’s the answer
Answers
Answer:
-10
Step-by-step explanation:
Answer:
4.−10..?
Step-by-step explanation:
Use Cymath.com for your math equations so you don't have to waste points on here!
Nijah has 45 stickers
she gives 2/5 to her sister and
the remaining 1/3 to brett
how many dose she have left ?
Answers
Answer: 6
Step-by-step explanation:
Plz help!
According to the graph, what are the domain and range of f(x)
Answers
Answer:
Domain: [0, 40]
Range: [0, 20]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Range is the set of y-values that are outputted by function f(x)Interval Notation - [a, b] denotes inclusive, (a, b) denotes exclusiveStep-by-step explanation:
According to the graph, we see that our x-values span from 0 to 40. Since both are closed dots, they are included in the domain:
Interval Notation [0, 40]
Inequality Notation 0 ≤ x ≤ 40
According to the graph, we see that our y-values span from 0 to 20. Since both are closed dots, they are included in the range:
Interval Notation [0, 20]
Inequality Notation 0 ≤ y ≤ 20
I need help solving this practice question solve for x
Answers
9/12 = 0.75
6/8 = 0.75
Brandon mows his lawn once every 5 days. Thomas mows his lawn once every 3 days. If they are all mowing the lawn today, in how many days will they be mowing their lawns together again?
A. 3
B. 5
C. 8
D. 15
Answers
Answer:
D. 15
Step-by-step explanation:
Day Thomas Brandon
1 T B
2
3
4 T
5
6 B
7 T
8
9
10 T
11 B
12
13 T
14
15
16 T B
17
18
19 T
20
21 B
The next time they both mow their lawns on the same day is on day 16, which is 15 days from today.
Answer: D. 15
which statement are correct for evaluting this expression
Answers
let me know if it doesn’t work
Match each of the equations with their corresponding graph
Answers
Answer:
equation a and graph E
equation b and graph a
equation c and graph b
equation d and graph D
Step-by-step explanation:
Please answer quick!
Which segment is the image of Line segment A B reflected across the line y = negative 2?
On a coordinate plane, segment A B goes from (2, negative 7) to (8, negative 3), segment J K goes from (2, 7) to (8, 3), segment G H goes from (2, 3) to (8, negative 1), segment F A goes from (negative 4, negative 3) to (2, negative 7), and C D goes from (negative 8, negative 3) to (negative 2, negative 7).
A.)Line segment A F
B.)Line segment D C
C.)Line segment G H
D.)Line segment J K
Answers
Answer:
C on edge 2021
Step-by-step explanation:
Answer: GH
Step-by-step explanation:
Pleaseee help answer correctly !!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
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Answer:
4
Step-by-step explanation:
will give brainly
(11x^11) (4x^4)
Answers
Answer:
The answer is 44x^15
Step-by-step explanation:
Simplify the expression.
Hoped this helped!
brainly, please?
One angle of an isosceles triangle measures 26°. Which other angles could be in that isosceles triangle?
Answers
Answer:
There are two answers, either of which would work
26°, 26° and 128°26°, 77° and 77°Method:
An isosceles triangle has 2 of the same sides so there are two possible answers:
1) 26° is one of the angles which is the same as another. 26° × 2 = 52° and since there are 180° in a triangle the other angle is 180° - 52° which is 128°. This would make the angles 26°, 26° and 128°
2) 26° is not one of the angles which is the same as another. Since there are 180° in a triangle, the other angles would both be 2 ÷ (180° - 26°) which is 77°. This would make the angless 26°, 77° and 77°
how many significant figures are in 2856.110
Answers
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someone please help me
Answers
Answer:
104 I think
Step-by-step explanation:
8 x 14 divided by 2 is 56 so 6 x 8 = 48 and 48 + 56 = 104
Answer:
The volume of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
Step-by-step explanation:
In order to solve this question, we need to know that the volume of a triangular prisim is equal to the area of the triangular base time the distance between the two triangular bases. And so we get...
[tex]V = (\frac{bh}{2})(d) = (\frac{(8)(14)}{2})(6) = (56)(6) = 336[/tex]
Therefore the area of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
you will have BRAINLYEST
Which net represents this solid figure?
Answers
Answer:
D
Step-by-step explanation:
4. Jake wants to make a garden with a border in the corner of his yard. He has lumber in several different lengths. Which three lengths could NOT be used to make a right triangle to fit into the corner of his yard? O 5 ft., 12 ft., 13 ft. O 9 ft., 12 ft., 15 ft. O 16 ft., 12 ft., 20 ft. 0 0 O 10 ft., 12 ft., 15 ft.
Answers
Answer:
10 ft., 12 ft., 15 ft.Step-by-step explanation:
Note that for a right triangle, the sum of the square of the hypotenuse is equal to the sum of square of the opposite and the adjacent.
Note that the hypotenuse is the longest side
Checking the given sides 10 ft., 12 ft., 15 ft.
Hypotenuse = 15ft (longest side)
Take the square of 15
15² = 225
Take the sum of square of other two sides
12²+10²
= 144 + 100
= 244
Since 225≠244, hence the three length could not be used to make a right triangle to fit into the corner of his yard
What is 5/3+2/4= ????
Answers
Answer:
5/3 x 4/4
2/4x 3/3
20+6/12
26/12
Step-by-step explanation:
Answer:
the answer is
5/3+2/4=7/4
PLS HELP I REALLY NEED IT RNNNNNN 20 POINTSSS
Which function matches the mapping shown?
A) f(x) = 2x
B) f(x) = 4x
C) f(x) = x4
D) f(x) = x + 4
Answers
Answer:
B.f(x)=4x
Step-by-step explanation:
Multiply x value by 4