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
Simplify 18.1 - 1.1(7.4 - 9.6 + 0.5).
Answers
Help me please! 20 POINTS Im using all of mine please help!
Gerry visited a farm and saw a total of 87 chickens and pigs. If there were a total of 248 legs between all of these animals, how many animals were chickens and how many were pigs?
(System of Equations word problem)
Answers
There are 18 or 20 pigs if two had 1 missing leg
Step by Step explanationMultiply the chickens by 2 or adding it by the same number since chickens have 2 legs
87
+87
-------
174
After, minus 174 from 248
That is 74
Divide by 4
5y - 4x = -7
2y + 4x = 14
Solve the system of equation
Answers
Answer:
( 4 , 1 )
Step-by-step explanation:
when canceling out the y values and then adding the two functions together you get
7y = 7
dividing by seven you get y = 1
when plugging y = 1 into the first quation you get
5 - 4x = -7
subtract 5 from both sides
-4x = -12
divide both sides by negetive four
x = 3
then with plugging in y = 1 for the second equation you get
2 + 4x = 14
subtract 2 from both sides
4x = 12
divide both sides by 4
x = 3
you then check your answers and get the point of (4, 1) for your answer.
How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please
Answers
Answer:
There are 8 - 1/8's in 1 (as, 8×1/8=1); and
There are 2 - 1/8's in 1/4 (as, 2×1/8=1/4).
How many gallons of a 50% antifreeze solution must be mixed with 80 gallons of 30% antifreeze to get a mixture that is 40% antifreeze? Use the six-step method.
You need ___ gallons.
Answers
Let x = number of gallons of 50% solution
amount of antifreeze in 50% solution = 0.50x
amount of antifreeze in 10% solution = 0.10(80) = 8
amount of 40% solution = 0.40(x+80) = 0.40x + 32
Then, 0.50x + 8 = 0.40x + 32
0.10x = 24
x = 240 gal
HELP! Whoever gets it right gets brainliest!!
Answers
Round these numbers to the nearest tenths place (1 decimal place)
5) 41.35
Answers
Answer:
41.4 im pretty sure
Step-by-step explanation:
Generalize Algebra Find the unknown number.
15. 12, 24, 36, ____
Answers
Answer:
48
Step-by-step explanation:
Count by 6
Find the inequality by the graph
Answers
Answer:
y > 1/3 x -3
Step-by-step explanation:
slope = 1/3
y intercept = -3
equation: y > 1/3 x -3
Whats the value of x
120°
(2x – 10)°
Answers
Step-by-step explanation:
2x-10^0
Any non zero expression raised to the power of 0 equals 1.
2x-1
So that would be your answer.
Hope that helped.
plz help will make brainliest!!!
Answers
Answer:
Answer is true.
Hope this helps.
Brian ordered a 12-inch pizza for him and some friends. They ate half of the pizza before they started
playing video games. Approximately how much of the pizza is left in the box?
A 38in2
B 57in2
C 113in2
D 144in2
Answers
Answer:
B
Step-by-step explanation:
the perimeter of a rectangle id 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle
Answers
34= L(6.5)
then you go ahead and divide both sides by 6.5
so 34/6.5= 5.2
inconclusion: 5.231(6.5)= 34
The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oak Street outlet in the past 20 days are:
65 98 55 62 79 59 51 90 72 56
70 62 66 80 94 79 63 73 71 85
The data are to be organized into a frequency distribution.
Click here for the Excel Data File
How many classes would you recommend?
Organize the number of oil changes into a frequency distribution. (Round "Relative frequency" answers to 2 decimal places.)
Answers
Answer: 5 classes.
Step-by-step explanation:
You can use the rule to determine the number of classes for a frequency distribution.
The rule says that where
is the number of classes
is the number of the data points
We know that the number of data points is = 20.
Next, we start searching for so that we can get a number 2 to the that is larger that the number of data points.
This suggests that you should use 5 classes.
helppppppppppppppppp
Answers
A= 80 cm
Class 607 has 27 students: 14 students have
green eyes, 7 students have blue eyes, and 6 students have brown eyes:
Answers
Answer:
teal
Step-by-step explanation:
brown blue green and teal are the only eye colors out there
Using first principal find the gradient of the curve whose equation is y=x^5. show working pleas
Answers
Answer:
The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].
Step-by-step explanation:
Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let [tex]y = x^{5}[/tex], then the gradient of the curve is:
[tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex] (1)
The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].
John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price?
A.$22.50
B.$65.00
C.$67.50
D.$112.50
Answers
Answer:
A
Step-by-step explanation:
Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100
divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.
then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.
Can any of you plz answer? (math)
Answers
What is the driving time for a 2900 mile trip if you drive at an average speed of 50 miles per hour? What is the driving time at 69 miles per hour?
Answers
These tiles represent the expression x + 7x + 2.
1
Х
X X X X X X X
1
Which expression is equivalent to x + 7x + 2?
8x + 2
8x + 9
10x
9x + 1
Answers
Answer:
the answer is A
Step-by-step explanation:
x + 7x + 2 = 8x + 2
please help asap!!!!!!!!!
Answers
Answer:
Z=25
Step-by-step explanation:
Angle C and D are Supplementary so
3z-15+7z-55=180
10z-70=180
10z=250
z=25
need help asap please
Answers
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
The triangle on the right is bigger than the triangle on the left.
I am joyous to assist you at any time.
HELP ASAP
What is the area of the shaded region?
(2571 - 48) cm
O (2517 - 30) cm
(2517 - 24) cm
(257-12) cm
Answers
Answer:
Step-by-step explanation:
We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:
Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:
5^2 = 3^2 + x^2
x = 4
The radius is 4 + 1 cm = 5 cm
So the area of the circle is A = pi*r^2
A = 3.14 * (5)^2
A = 25pi cm^2
To solve for the area of the shaded region:
Ashaded = Acircle - Atriangles
we need to solve for the area of the triangles:
A = 1/2 *b*h
A = 1/2 *6 * 5
A = 15 cm^2
Atriangles = 2 * 15
Atriangles = 30 cm^2
Ashaded = 25pi - 30
NNED HELP ASAP! WILL MARK BRAINLIEST IF CORRECT! Line B has the equation y=3x–4. Write the equation of the image of B after a dilation with a scale factor of 2, centered at the origin. Write your answer in slope-intercept form.
y=
Answers
Answer:
y=3x-2
Step-by-step explanation:
all you need to do is divide the coordinates of the x intercept and y intercept by two
Marking brainliest
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answers
Answer:
[tex]11.1\: \mathrm{g}[/tex]
Step-by-step explanation:
Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.
John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.
Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.
Answer:
I need this answer ASAP
Step-by-step explanation:
rewrite 1/3 Barrel 2/3 hour as a unit rate
A. 4 1/2 Barrels/Hour
B. 2 barrels/hour
C. 2/9 barrel/hour
D. 1/2 barrel/hour
Answers
Answer:
c is correct answer is yes
Answer:
D. 1/2 barrel/hour
Step-by-step explanation:
Evaluate each expression if k = -3, 55 - k
Answers
Step-by-step explanation:
=55-k
=55-(-3)
=55+3
=58
hope it helps.
Answer:58
Step-by-step explanation:
=55-(-3)
=55+3
=58
If you found my answer useful than mark me brainliest.
An hourly worker whose wage is $15 per hour will be paid how much for an eight-hour shift?
Answers
Answer:
the answer is $120
Step-by-step explanation:
because I multiply 15 x 8 = 120 so the hourly worker will have $120 from an eight hour shift or else you can use a calculator too
The required wage for the eight-hour shift is $120.
An hourly worker whose wage is $15 per hour will be paid. How much for an eight-hour shift to be determined.
In mathematics, it deals with numbers of operations according to the statements.
Here,
$15 wage = 1 hour
Multiply both sides by 8
$15*8 = 1*8 hour
$120 = 8 hour
Thus, the required wage for the eight-hour shift is $120.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?
A. 30 calories
B. 202 calories
C. 270 calories
D. 360 calories
Answers
Answer: C
Step-by-step explanation: