Answer:
Area of the triangle covered by the cars = 910.45 square km
Step-by-step explanation:
Since, all the sides of triangle ABC are given,
And formula for the area of a triangle with all sides given is,
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Here, s = [tex]\frac{a+b+c}{2}[/tex]
And a, b, c are the measures of the sides of the triangle.
If a = 39 km, b = 87 km and c = 58 km
s = [tex]\frac{39+87+58}{2}[/tex]
s = 92
Therefore, (s - a) = 92 - 39
= 53
(s - b) = 92 - 87
= 5
(s - c) = 92 - 58
= 34
Now area of the triangle ABC = [tex]\sqrt{92(53)(5)(34)}[/tex]
= [tex]\sqrt{828920}[/tex]
= 910.45 km²
Area of the triangle covered by the cars = 910.45 square km
what is the slope-intercerpt form of the equation -8x+2y=4
Answer:
y= 4x +2
Step-by-step explanation:
Slope-intercept form is y= mx +c.
Thus, rewrite the equation to make y the subject of formula.
-8x +2y= 4
Let's simplify the equation first by dividing both sides by 2.
-4x +y= 2
+4x on both sides:
y= 4x +2
if 14 inches on a map represent a distance of 74 miles,what distance does 8 inches represents?
Answer:
42 M
Step-by-step explanation:
14 =74
8/14 = ?/74
8/14= 0.57
So,
0.57*74 = 42
Answer:
x=42
Step-by-step explanation:
Please see the picture attached. I hope this helps!
which expressions are equivalent to the first one? I don't understand how to determine that so please explain. Thanks!
9514 1404 393
Answer:
(a) -(x+7)/y
(b) (x+7)/-y
Step-by-step explanation:
There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.
The given expression with -1 factored out is ...
[tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]
Likewise, the expression of (b) with the minus sign factored out is ...
[tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]
On the other hand, simplifying expression (c) gives something different.
[tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]
__
Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).
Given: (-x-7)/y = (-x/y) +(-7/y)
(a) -(x+7)/y = (-x/y) +(-7/y)
(b) (x+7)/(-y) = (-x/y) +(-7/y)
(c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.
__
Of course, you need to know the use of the distributive property and the rules of signs.
a(b+c) = ab +ac
-a/b = a/(-b) = -(a/b)
-a/(-b) = a/b
__
Summary: The given expression matches (a) and (b).
_____
Additional comments
Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...
[tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]
Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.
The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.
(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given
(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given
(c) evaluates to (-1-7)/-2 = 4, different from given
Help plz:)))I’ll mark u Brainliest
Answer:
[tex]x=1,CD=5[/tex]
Step-by-step explanation:
It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:
[tex]2x+3=3x+2,\\x=1[/tex]
Plugging [tex]x=1[/tex], we have:
[tex]CD=2(1)+3=5[/tex].
Express the reoccurring decimal 0.56 as a fraction
Please see screenshot
Answer:
I have made it in pic hope it helps
A number divided by 16 is 3/8
integers between -9 and -2
Answer:
Step-by-step explanation:
the integers are -8,-7,-6,-5,-4,-3,
What are the coefficients of this expression? x + y + 2
Answer:
1
Step-by-step explanation:
Since the variables dont have any numbers next to them, 1 is the coefficient for x and y
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.9 millimeters (mm) and a standard deviation of 1.2 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.)
(a) the thickness is less than 3.0 mm
(b) the thickness is more than 7.0 mm
(c) the thickness is between 3.0 mm and 7.0 mm
Answer:
a) The probability that the thickness is less than 3.0 mm
P(X<3.0) = 0.057
b) The probability that the thickness is less than 7.0 mm
P(X>7) = 0.0401
c) The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7)= 0.9029
Step-by-step explanation:
Step(i):-
Given mean of the Population (μ) = 4.9 mm
Standard deviation of the Population(σ) = 1.2 mm
a)
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]
The probability that the thickness is less than 3.0 mm
[tex]P(X<3.0) = P(Z < -1.583) = 1 - P( Z>1.583)[/tex]
= 1 - ( 0.5 + A(1.583)
= 0.5 - A(1.583)
= 0.5 - 0.4430
= 0.057
The probability that the thickness is less than 3.0 mm
P(X<3.0) = 0.057
b)
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]
The probability that the thickness is less than 7.0 mm
[tex]P(X>7.0) = P(Z >1.75) = 0.5 - A(1.75)[/tex]
= 0.5 - 0.4599 ( from normal table )
= 0.0401
The probability that the thickness is less than 7.0 mm
P(X>7) = 0.0401
c)
Let 'X' be the random variable in normal distribution
[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]
[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]
The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7) = P( - 1.583 < X < 1.75 )
= A( 1.75 ) + A( -1.583)
= A(1.75)+A(1.583)
= 0.4599 + 0.4430
= 0.9029
The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7)= 0.9029
-12m = 16 . plz its really important i need some help
Answer:
-1 and 1/3
Step-by-step explanation:
-12 x -1 1/3= 16
Answer:
-3/4
Step-by-step explanation:
-12m=16
m=12/-16
simplify
m=-3/4
Clarisse used the ordered pairs (0, 13) and (24, 5) for her trend line. What would be the y-intercept of her trend line?
I’ll give brainless :)
Answer:
Step-by-step explanation:
Remark
You have 2 points to solve the equation y = mx + b. After finding m, use either of the points to find b.
Formula
y = mx + b
m = (y2 - y1)/(x2 - x1)
Solution
y2 = 13y1 = 5x2 = 0x1 = 24m = (13 - 5)/(0 - 24)
m = 8 / - 24
m = - 1/3
y = mx + b
y = -1/3 x + b
Use (0,13) as the point.
13 = -1/3 * 0 + b
13 = b
The y intercept = (0,13)
Which of the following could be points on the unit circle?
A. ( 5/13, 12/13)
B. (6/7, pi13/ 7)
C. (1/3, 2/3)
D. (4/3, 4/5)
Answer:
Points A and C are on the unit circle
Step-by-step explanation:
The unit circle is a circle of radius 1, that is, all the points that are inside the circle have the sum of the squares of its coordinates that are at most 1. Here, we have to test this for each option.
In options B and D, the coordinates 13/7 and 4/3, respectively, means that this sum will be larger than 1, and this points will not be on the unit circle. Now we text for options A and C.
A. ( 5/13, 12/13)
[tex]\sqrt{(\frac{5}{13})^2+(\frac{12}{13})^2} = \sqrt{\frac{25}{169}}+\sqrt{\frac{144}{169}} = \sqrt{\frac{169}{169}} = \sqrt{1} = 1[/tex]
Since the sum of the squares is 1, the point is on the unit circle.
C. (1/3, 2/3)
[tex]\sqrt{(\frac{1}{3})^2+(\frac{2}{3})^2} = \sqrt{\frac{1}{9}}+\sqrt{\frac{4}{9}} = \sqrt{\frac{5}{9}}[/tex]
Since the sum of the squares is less than 1, the point is on the unit circle.
What is an equation of the line that passes through the points (-6, 5) and (6, -7)
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual simple interest rate of 11%. After 11 years, the interest earned on the account was $11,000. How much money did Mike's grandmother deposit in the account?
Please help me with my homework!!!
Answer:
Step-by-step explanation:
The nomebers are equivalent (true)
opposites. (true)
produt 1 (false)
a positive value (false)
last on don't now but I think it's (false)
Which is not a method used for changing the attitude of Employee
= Performance appraisal
Step-by-step explanation:
Performance appraisal is the answer
solve
hurryyyy plzzz
Answer:
1) 1/3+1/2= 5/6 2) 3/4-1/2= 1/4
Step-by-step explanation:
1/3+1/2= 5/6 (multiply each denominator by what both of the fractions can equal, so 1/3= 2/6 and 1/2= 3/6. add 3/6 and 2/6 together) ( whatever you do to the top you do to the bottom)
3/4-1/2= 1/4 ( 3/4 equals 3/4 since 1/2 already equals 2/4, u dont need to change anything to 3/4) but make sure you make 1/2 equal to 3/4 so you can subtract easily!
The histogram below shows the scores for Mrs. Smith's second block class at Red Rock Middle School.
How many students scored a 77 on the test?
The number of students that scored a 77 on the test in the histogram D. Cannot be determined.
What is a histogram?It should be noted that a histogram is simply used to review and provide a visual analysis of data.
In this case, the number of students that scored a 77 on the test cannot be determined.
Learn more about histogram on:
https://brainly.com/question/2962546
#SPJ2
arrange the expressions in increasing order of their values
Answer:
Plz give a picture or smth
Step-by-step explanation:
Thanks for the points tho
carrie biked 75 miles in 3 days.
Answer:
25 miles a day
Step-by-step explanation:
75 divided by 3 is 25
Answer:
wow good job carrieee lol
thers no question tho :(
If x =26 and y=2 what is my constant of proportionality?Reduce answer
Answer:
1/13
Step-by-step explanation:
y is proportional to x ⇒ y = kx
Plug in (26,2) and solve for k:
2 = k·26
k = 2/26 = 1/13
Solve the proportion ASAP do both promblem
8. 1/3 = 3/y
or, y= 9
11. 3/x= 6/x+8
or, 6x=3x+24
or, 3x= 24
or, x=8
Hope it helps uh.
Answer:
x = 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3x from both sides.
Step 3: Divide both sides by 3.
Hope this helps
Write an equation of the line that passes through (2,3) and is perpendicular to the line shown. Please help!!
Answer:
7.0
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.
Need some help rn I have an f
Answer:
C
Plzzzzz give me Brainliest!!!!!
Let p be a prime. Compute the following sum (mod p):
Please help! I will give you points!
Answer:
the slope line that passes through the point is 4/5
At the neighborhood grocery, 4.5 pounds of steak cost $47.25. How much would it
cost to buy 4.04 pounds of steak?
Help pls, otherwise I’ll fail ;-;
Answer:
$42.42Step-by-step explanation:
Use the ratio to solve:
4.5 → 47.254.04 → xCross multiply and solve for x:
4.5x = 4.04*47.254.5x = 190.89x = 190.89/4.5x = 42.42The answer is $42.42
Here,
At the neighborhood grocery,
4.5 pounds of steak cost= $47.25
So,1 pounds of steak cost=[tex]\bold{\dfrac{47.25}{4.5}\$ }[/tex]
According to the question,
4.04 pounds of steak cost=
[tex]\bold{\dfrac{47.25}{4.5}×4.04 }[/tex]
[tex]\bold{\dfrac{\cancel{47.25}}{\cancel{4.5}}×4.04}[/tex]
[tex]\bold{ 10.5×4.04 }[/tex]
[tex]\bold{ 42.42 }[/tex]
so,
42.42$ would it cost to buy 4.04 pounds of steak.
An airplane 30,100 feet above the ground begins descending at the rate of 2150 feet per minute. Write and solve a linear equation to find how long it will take the plane to reach the ground.
Answer:
14 minutes.
Step-by-step explanation:
To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:
2,150X = 30,100
X = 30,100 / 2,150
X = 14
Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.
A moving truck can carry no more than 1,480 pound of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he put into the truck?
Let x = # of boxes
Answer:
I'm not really sure that my answer is correct, but if you divide 640 by 70 you get 9, so Brian can put 9, 70 pound boxes in the truck.
Step-by-step explanation:
Question 1 of 10
What is the length of the blue segment in OL below?
A. 7.74 units
B. 15.48 units
C. 7.9 units
D. 3.95 units
Answer:
7.74
Step-by-step explanation: