Answer:
this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)
=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]
using Heron theorem, we have:
[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]
with S is the area of the triangle
[tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]
Step-by-step explanation:
Area of the triangle with given vertices is equals to 24 square units.
What is Area?"Area is the surface which represents the total space occupied by any two dimensional object."
What is triangle?"Triangle is a polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."
Formula used
In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)
Area of a triangle = [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]
According to the question,
Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)
Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]
= [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]
= 24 square units
Hence Area of the triangle with given vertices is equals to 24 square units.
Learn more about Area of the triangle here
https://brainly.com/question/19305981
#SPJ2
what is the constant proportionality of $0.59 per pound
Answer:
The constant of proportionality is just 0.59
Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less. How far, in miles, is it from P to Q?
QUICK ASAP PLS
Answer:
Step-by-step explanation:
66
What is the distance between point (8,4) and point (3,2) rounded to the nearest tenth?
Step-by-step explanation:
the answer of this question is 5.39
In a orchestra , 10% the musicians play brass instruments. 15% play woodwin and, %5 play percussion .The other 28 musicians olay stringed insturments.
how many musicians are in the orchestra altogther?
(GIVING BRAINLYIST) 4 ÷ 1/2 YOU HAVE TO show your work on paper using fraction models!
Answer:
8
Step-by-step explanation:
so my school uses the method called kcf (keep change flip)
keep the 4
change the division sign to a multiplication sign
flip 1/2 to 2/1
4x2=8
Answer:
8 i first said two but used a caculater and found out it was 8
Step-by-step explanation:
YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2
Answer:
yes :(
Step-by-step explanation:
Submit For
Score
Which term best describes the savings account that Isabel has set up, given its purpose?
Select the correct answer.
es
Comments
O emergency fund
O mutual fund
Orainy-day fund
sinking fund
Answer:
Emergency Fund
Step-by-step explanation:
Isabel has setup fund for her emergency needs. She has started saving with named as emergency fund so that she can use her savings when she is in severe needs. Isabel has saved money and then she is now saving her money in saving accounts in the bank.
Simplify (x-y-5) (x-2)
1 ton = 2,000 lbs. Convert 12,000 pounds (lbs) to tons. Please give answer in decimals. tons
Answer:
12,000 ibs = 6 ton
divide 12,000 by 2,000 to get this answer
Step-by-step explanation:
so in decimal form is 0.06 ( move two places to left)
Find the perimeter of the following shape:
if you help i will say thank you
Answer:
C
Step-by-step explanation:
(5,-4)
Answer:
C
Step-by-step explanation:
(5,-4) by using elimination method
Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?
Answer:
6:4:9 Yw❤️
Step-by-step explanation:
Write the rational number as a decimal. 7 over 40
Answer:
0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.
Answer: 0.175
Step-by-step explanation:
You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2% annual interest compounded daily
Answer:
$8800 might be wrong on that not sure
Describe the end behavior of f(x)=-2x^3 using the leading coefficient and degree, and state the domain and range
Answer:
See explanation for end behavior below
Domain = All Real numbers
Range = All Real numbers
Step-by-step explanation:
This is a typical power function of order 3, and since its coefficient is a negative one (-2), its end behavior is:
As x becomes more and more negative (moving towards the left of the horizontal axis, the values for y will become larger and larger (reaching very positive numbers on the y scale). As x becomes larger and larger (moving towards large values on the positive side of the horizontal axis, the related y values will become more and more negative.
The Domain of the function (the x-values for which the function is defined) consists of all Real numbers.
The same is true for the Range, since the y-values spread over all the real number line.
Mike and Ike decided to take a drive to Crystal Mountain Lake. As they leave home in Swamp Town, they notice that the car odometer reads 15,632 miles. When they stop at Vine Valley to have lunch, they notice that the odometer reads 15,795 miles, and they see this road sign: Crystal Mountain Lake 52 miles. What is the distance from Swamp Town to Crystal Mountain lake (2 points)? Show your work (3 points).
Select the correct answer.
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A.
4w + 3
B.
w – 3
C.
5w
D.
6w + 4
Answer:
hope it helps
Step-by-step explanation:
Paul picked 5482 peaches. Peter
picked four times as many as Pual
picked. Sam picked twice as many as
Peter picked. How many peaches did
hey pick altogether?
Answer:
71,266 peaches
Step-by-step explanation:
paul=5482
peter=5482*4=21,928
sam=21928*2=43,856
5482+21,928+43,856=71,266
4. What is the volume of a rectangular prism that has the following
dimensions?
Length - 5 inches
Width - 7.5 inches
Height - 12 inches
Answer:
450cm3 or 450 cube cm.
Step-by-step explanation:
Formula = Length x Width x Height
So,
5 x 7.5 x 12 = 450cm3
What is 2y+4x =10 in y=mx+b
Answer:
The answer should be y = -2x + 5
Step-by-step explanation:
Subtract 4x to move it to the other side.
(2y = -4x + 10)
Then you divide both sides by 2 to get y by itself.
Animal researchers studying cows and horses conducted a two-sample t-test for a difference in means to investigate whether grazing cows eat more grass, on average, than grazing horses. All conditions for inference were met, and the test produced a test statistic of t=1.064 and a P-values of 0.0487 Which of the following is a correct interpretation of the P-value?
A. The probability that cows eat more grass than horses, on average, is 0.0487.
B. The probability that cows eat the same amount of grass as horses, on average, is 0.0487
C. Assuming that the mean amount of grass eaten by cows is greater than the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
D. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487.
Answer:
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487
Step-by-step explanation:
Given that :
Test statistic, t = 1.064
P-value = 0.0487
Hypothesis : To test if grazing cows eat more grass than grazing horses
The null hypothesis will be :
H0 : μ1=μ2 (that is there is no difference on the mean number of grass eaten by cows and horses).
Alternative hypothesis ; H1 : μ1 > μ2
The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.
Therefore, if the null is True in this scenario, then, the probability of observing a test statistic of at least 1.664 is 0.0487
If the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
Test statistics, t = 1.064
P-value = 0.0487
The null hypothesis will be
H₀: μ₁ = μ₂ (There is no difference in the mean number of grass eaten by cows and horses)
An alternative hypothesis will be
Hₐ: μ₁ > μ₂
The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.
Therefore, if the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
given tu ij find the length of hj
that doesnt make sense
guys please help me it's Find the area of the polygon
What is the solution of the equation
5 = 22?
Answer:X=17
Step-by-step explanation:
Im not 100% sure
Suppose that 11 inches of wire costs 33 cents.
At the same rate, how many inches of wire can be bought for 21 cents inches?
Answer:
Suppose that 14 inches of wire cost 42 cents at the same rate how many inches of wire can be bought for 24 cents
Step-by-step explanation:
What is the value of the expression 6 +5. (8 = 2)2?
Answer:
The answer is 22
Step-by-step explanation:
might be wrong so I would wait for someone else to also answer.
The piecewise function h(x) is shown on the graph.
What is the value of h(3)?
Answer:
In the given graph h(x)
When x=3, h(3)=1
1 is the right answer.
What is 1 2/3 x 1 1/4 ????
Answer:
2 1/12 B)
Step-by-step explanation:
Complete the following statements.
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains fluid ounces of liquid.
The soda bottle contains gallons of liquid.
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains quarts of milk.
The milk jug contains liters of milk.
Answer:
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains 0.525 gallons of liquid.
2) A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains 8 quarts of milk.
The milk jug contains 7.6 liters of milk.
Step-by-step explanation:
We need to complete the statements.
1)
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains ------- fluid ounces of liquid.
Converting Liters to fluid ouncesWe know that 1 liter = 33.81 fluid ounces
So, 2 liter = 2 x 33.81 = 67.62 fluid ounces
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains gallons of liquid.
Converting liters to gallonsAs, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons
We know that
1 liter = 1.05 quarts
2 liters = 2 x 1.05 = 2.1 quarts
4 quarts = 1 gallon
1 quarts = 1/4 gallon
2.1 quarts = 1/4 * 2.1 = 0.525 gallon
The soda bottle contains 0.525 gallons of liquid.
2)
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains -------- quarts of milk.
Converting gallons to quartsWe know:
1 gallon = 4 quarts
2 gallons = 2 x 4 = 8 quarts
The milk jug contains 8 quarts of milk.
The milk jug contains ------ liters of milk.
Converting gallons to litersWe know:
1 gallon = 4 quarts
2 gallon = 8 quarts
1.05 quarts = 1 liter
1 quarts = 1/1.05 liter
8 quarts = 1/1.05 * 8 = 7.6 liter
The milk jug contains 7.6 liters of milk.
solve x : 3 (x-1) +7= 4x +2 -3 (2-x)
Answer:
Step-by-step explanation:
x=2
remove the parentheses. cancel the equal terms. calculate. move the terms. calculate. divide both sides. x=2