Answers
Answer:
Area of triangle = 15 square units
Step-by-step explanation:
We need to find area of the triangle, given the vertices:
A=(4,0)
B=(1,5)
C=(7,5)
The formula used is: [tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))[/tex]
We have: [tex]x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5[/tex]
Putting values and finding area
[tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15[/tex]
We will be ignoring negative sign, because area of triangle is positive.
So, Area of triangle = 15
Related Questions
The Bobcat Bouncers Jumping
Team can jump 18 times in 9
seconds. At this rate, how many
jumps can they make in 45 seconds?
Answers
Answer:
90
Step-by-step explanation:
18/9=2
2 x 45=90
Using the graph below graph y = sin(2x + 7) by plotting two points.
Answers
Answer:
Look at the graph below, hope this was helpful :)
Step-by-step explanation:
3 more than x is less than 6
Answers
Answer:
x = 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
its complicated to explain sorry, but trust me
_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour
= Political behaviour
Answers
Step-by-step explanation:
political behaviour consists of activities that are
not required as part of one's formal
role in the organization
A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.
P(t) =800/1+ 3e^-0.29t.
Find the initial population size of the species and the population size after 10 years. Round your answers to the nearest whole number as necessary.
Answers
Answer:
The initial population is 200
The population after 10 years is 687
Step-by-step explanation:
Given
[tex]P(t) =\frac{800}{1+ 3e^{-0.29t.}}[/tex]
Solving (a): The initial population
Here:
[tex]t = 0[/tex]
Substitute 0 for t in P(t)
[tex]P(0) =\frac{800}{1+ 3e^{-0.29*0}}[/tex]
[tex]P(0) =\frac{800}{1+ 3e^{0}}[/tex]
[tex]P(0) =\frac{800}{1+ 3*1}[/tex]
[tex]P(0) =\frac{800}{1+ 3}[/tex]
[tex]P(0) =\frac{800}{4}[/tex]
[tex]P(0) =200[/tex]
The initial population is 200
Solving (b): Population after 10 years.
Here
[tex]t = 10[/tex]
Substitute 10 for t in P(t)
[tex]P(10) =\frac{800}{1+ 3e^{-0.29*10}}[/tex]
[tex]P(10) =\frac{800}{1+ 3e^{-2.9}}[/tex]
[tex]P(10) =\frac{800}{1+ 3*0.055}[/tex]
[tex]P(10) =\frac{800}{1+ 0.165}[/tex]
[tex]P(10) =\frac{800}{1.165}[/tex]
[tex]P(10) =687[/tex] -- approximated.
The population after 10 years is 687
A group of friends really love to go bowling together. Here are a set of final scores from a recent bowling trip:
147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110
Required:
What is the mean?
Answers
Answer:
[tex]Mean = 109.364[/tex]
Step-by-step explanation:
Given
[tex]Data: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110[/tex]
Required
Calculate the mean
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
In this case:
[tex]n = 11[/tex]
So, we have:
[tex]Mean = \frac{147+ 160+ 80+ 110+ 121+ 164+ 62+ 90+ 76+ 83+ 110}{11}[/tex]
[tex]Mean = \frac{1203}{11}[/tex]
[tex]Mean = 109.364[/tex] -- approximated
please send answers
Answers
Answer:
multiple 10.5x10.5 and then 7x7 and then add both answer s
Step-by-step explanation:
Answer is explained above
who knows this answer ?!!
Answers
Answer:
D is the answer
Step-by-step explanation:
twice as many children is 24 because 12x2 is 24
need help asap please
Answers
Answer:
[tex]\displaystyle 77[/tex]
Step-by-step explanation:
Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ♂️
I am joyous to assist you at any time.
Find the slope of the line through the points (4,2) and (6,2).
Answers
Answer:
The slope is m=0
Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.
Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).
Suppose that the functions s and t are defined for all real numbers x as follows.
s(x)=2x-2
t(x)=3x
Write the expressions for (s-t)(x) and (s+t)(x) and evaluate (s⋅t)(-1)
Can't seem to figure it out
Answers
Answer:
Step-by-step explanation:
Given functions are,
s(x) = 2x - 2
t(x) = 3x
(s - t)(x) = (2x - 2) - 3x
= -x - 2
= -(x + 2)
(s + t)(x) = (2x - 2) + 3x
= 5x - 2
(s . t)(x) = (2x - 2)(3x)
= 6x² - 6x
(s . t)(-1) = 6(-1)² - 6(-1)
= 6 + 6
= 12
Which of the following represents y as a function of x?
Answers
Answer:
The table only represent s y as function of x
Write the ordered pair for each given point:
9) J ___
10) E ___
11) X ___
12) Z ___
13) B ___
14) D ___
15) R ___
16) W ___
I WILL PUT BRAINLIEST!!
Answers
e:-2,1
x:1,2
z:-8,-3
b:-4,-6
d:-5,1
r:-3,-8
w:0,9
e(-2,1)
x(1,2)
z(-8,-3)
b(-4,-6)
d(-5,1)
r(-3,-8)
w(0,9)
i’ll give brainliest!!!!
Answers
Answer:
32
Step-by-step explanation:
24+40=64
64/2=32
hope this helps
have a great day! :)
Given the sequence \\(\\frac{1}{4},\\frac{1}{8},\\frac{1}{16}\\)\nthen r is _____
Answers
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
For geometric sequences, we find r by dividing one of the terms by the last. So we could do [tex]\frac{1}{\frac{16}{\frac{1}{8}}}[/tex]or [tex]\frac{1}{\frac{8}{\frac{1}{4}}}[/tex] and it'll give us the same result (1/2)
What ratio is bigger 6:12 or 1:2
Answers
Answer:
they are both the same amount
Step-by-step explanation:
Answer:
Step-by-step explanation:
They are both the same 6:12 can be reduced to 1:2 by dividing 6 and 12 by 6.
Add the two expressions
-4.2x+3 and 2.5x-6
please help me with this
Answers
-1.7×-6 is the answer. Hope this helps.
Answer:
-1.7x + -3
Step-by-step explanation:
−4.2x+3 +2.5x−6
−4.2x+3
2.5x−6
Hope This Helped <3
How much change should Mack get back when he uses $20.00 to pay for purchases totaling $14.35?
Answers
Answer:
5
Step-by-step explanation:
i anserwed it on the test
13. Becky is playing with marbles. Of the marbles 2/3
of them are green. Among the green marbles, 1/4
of them also have polka-dots. What fraction of
Becky's marbles are green and have polka-dots?
Answers
Answer:
2/3 x 1/2 = 1/6
Step-by-step explanation:
Find the volume of the figure. Round your answer to two decimal places, if needed
Answers
Answer:
[tex]\mathrm{A. \:756\:in^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 6x9x14.
Therefore the volume of this prism is:
[tex]6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}[/tex].
please solve[tex]e^x=44[/tex] Thank You
Answers
Select the correct answer.
Which expression means five times the sum of band two?
OA. 5(6+2)
O B. 56+2
Oc. (6+2)
5
D
(5+2)
OD.
—
HELP PLEASE!! ill give brainlist
Answers
Answer:
Hi... Your answer is A...
What is the answer to this Question?
8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22
Answers
Answer:
Here
Step-by-step explanation:
Let's solve your equation step-by-step.
8−6(x−4)=2x−2(4x−5)+22
Step 1: Simplify both sides of the equation.
8−6(x−4)=2x−2(4x−5)+22
8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)
8+−6x+24=2x+−8x+10+22
(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)
−6x+32=−6x+32
−6x+32=−6x+32
Step 2: Add 6x to both sides.
−6x+32+6x=−6x+32+6x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
Find the interest rate for a $4100 deposit accumulating to $5994.78, compounded monthly for 6 years.
Answers
Answer:
r = [1 + (i/n)]n - 1. Where: r =
Step-by-step explanation:
!!! Please help !!!!
Which of the following inequalities has NO solution?
Answers
The population of people in a town increases by 100 each year. Which equation represents the situation? Let p represent the amount the population has increased and t represent the number of years.
Question 22 options:
t = 100 + p
p = 100 + t
p = 100t
t = 100p
Answers
Answer: p = 100t
Step-by-step explanation:
Assume that it had been 6 years.
100(6) = p
p = 600
There are 600 people in the town.
A band expects to put 16 songs on their next CD. The band writes and records 37.5% more songs than they expect to put on the CD. During the editing process, 50% of the songs are removed. How many songs will there be on the final CD?
Answers
answer:
- this is multi-step problem
16 X 1.375 = 22 songs (37.5% was added)
22 X .5 = 11 songs (50% was removed)
final answer: 11 songs.
A bag of garden soil weighs 44 pounds and holds 5 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.
Answers
Answer:
weight=660 pounds
volume=75 cubic feet
Step-by-step explanation:
44 × 15 = 660
5 × 15 = 75
The weight of 15 bags of garden soil is approximately 297.9 kilograms.The volume of 15 bags of garden soil is approximately 2.78 cubic yards.
To find the weight of 15 bags of garden soil in kilograms, we can use the conversion factor that 1 pound is equal to 0.45359237 kilograms.
Weight of 15 bags in kilograms = 44 pounds/bag * 15 bags * 0.45359237 kg/pound
Weight of 15 bags in kilograms ≈ 297.9 kilograms
Therefore, the weight of 15 bags of garden soil is approximately 297.9 kilograms.
To find the volume of 15 bags of garden soil in cubic yards, we need to first convert the volume of each bag from cubic feet to cubic yards. There are 3 feet in a yard, so 1 cubic yard is equal to 3 feet by 3 feet by 3 feet, which is 27 cubic feet.
Volume of 15 bags in cubic yards = (5 cubic feet/bag * 15 bags) / 27 cubic feet/yard
Volume of 15 bags in cubic yards ≈ 2.78 cubic yards
Therefore, the volume of 15 bags of garden soil is approximately 2.78 cubic yards.
To know more about weight click here :
https://brainly.com/question/30680982
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r(x)=2square root of x S(x)= square root of x (rs)(4)=
Answers
Answer:
[tex](rs)(4) = 8[/tex]
Step-by-step explanation:
Given
[tex]r(x) = 2\sqrt{x[/tex]
[tex]s(x) = \sqrt x[/tex]
Required
Determine [tex](rs)(4)[/tex]
In functions:
[tex](fg)(x) = f(x) * g(x)[/tex]
This implies that:
[tex](rs)(x) = r(x) * s(x)[/tex]
Substitute values for r(x) and s(x)
[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]
[tex](rs)(x) = 2(\sqrt{x})^2[/tex]
[tex](rs)(x) = 2x[/tex]
Substitute 4 for x
[tex](rs)(4) = 2 * 4[/tex]
[tex](rs)(4) = 8[/tex]
Please help me I will give you 10 points
Answers
Answer
Multiply 8 and 4
Step-by-step explanation:
start from left to right so you wanna start by dividing and multiplying first in evaluating