Answers
======================================================
Explanation:
Refer to the diagram below. I've added point labels A,B,C to the corners of the rectangle. A in the upper left corner, B in the upper right, C in the lower right.
The area of the rectangle is
length*width = AB*BC = 6*4 = 24 square units.
We'll use this value later, so let m = 24
----------------
The area of triangle IAK is
base*height/2 = KA*AI/2 = 2*4/2 = 8/2 = 4 square units
We'll use this value later, so let n = 4
----------------
Repeat the idea of the last section, but do so for triangle KBJ
area = base*height/2
area = JB*BK/2
area = 3*4/2
area = 12/2
area = 6
Triangle KBJ is 6 square units. Let p = 6 so we can use it later.
------------------
Lastly, triangle JCI has area of...
area = base*height/2
area = IC*JC/2
area = 6*1/2
area = 3
Let q = 3
-------------------
To summarize everything so far, we have
m = 24 = area of entire rectanglen = 4 = area of triangle IAKp = 6 = area of triangle KBJq = 3 = area of triangle JCIAs you can probably guess where this is going, we'll subtract off the areas of the smaller triangles (n, p and q) from the overall larger rectangle (m) to get the area of triangle IJK.
m - n - p - q = 24 - 4 - 6 - 3 = 11
Triangle IJK has an area of 11 square units.
-------------------
An alternative method involves using this outline
Use the distance formula to find the side lengths IK, IJ, and KJThen use Heron's Formula to find the area of the triangle.
Related Questions
write an equation represented by the graph shown !
Answers
Answer:
y = |x+1.5|
Step-by-step explanation:
Start with the graph of y = |x|. To shift it left by 1.5 units, replace x with x+1.5.
General rules for shifting graphs:
Shift y = f(x) up by a units: y = f(x) + aShift y = f(x) down by a units: y = f(x) - aShift y = f(x) left by a units: y = f(x + a)Shift y = f(x) right by a units: y = f(x - a)Answer:
y=abs(x+1.5)
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
1
20
10
Answers
Answer:
add more information
Step-by-step explanation:
A baker has at most 120 minutes to decorate 40 cupcakes how long can she spend decorating each cupcake to stay within her time limit
Answers
Answer:
3 minutes each cupcake
Step-by-step explanation:
120 minutes divided by 40 = 3 minutes each cupcake
1. A new company wants to mail out samples of its hair products. The company has a sample box that is a rectangular prism with a rectangular base with
an area of 23 1/3 sq. in. The height of the prism is 1 1/4 in. Determine the volume of the sample box
A.24 7/12 sq. inches
B. 24 7/12 cubic inches
C.175/6 sq. inches
D. 175/6 cubic inches
Answers
Answer:
Volume of rectangular prism = 175 / 6 inch³
Step-by-step explanation:
Given:
Base area of rectangular prism = 23 ¹/₃ inch² = 70 / 3 inch²
Height of rectangular prism = 1 ¹/₄ inch = 5 / 4 inch
Find:
Volume of rectangular prism
Computation:
Volume of rectangular prism = Base area of rectangular prism x Height of rectangular prism
Volume of rectangular prism = [70 / 3] x [5 / 4]
Volume of rectangular prism = [350 / 12]
Volume of rectangular prism = 175 / 6 inch³
PLEASE HELP!!
Let g(x) = -5x + 2 I’m confused
Answers
Answer:
7
Step-by-step explanation:
We need to plug in -1 for x. Here's what we get:
[tex]-5(-1)+2[/tex] multiplying two negative numbers gives us a positive number
[tex]5+2[/tex]
= 7
Answer:
g(-1) = 7
Step-by-step explanation:
this is a function, when it says f(x) or g(x), whatever, and then gives, in this case g(-1), it wants you to substitute -1 into all the x values.
Therefore, our equation is g(-1)= -5 (-1) +2
this simplifies to g(-1)= 7
A container must contain at least 40 pounds of potatoes and at least 20 pounds of onions. The combined amounts of potatoes and onions
must be at least 80 pounds but must not exceed 160 pounds.
Let z represent the number of pounds of potatoes and y represent the number of pounds of onions.
Which system of inequalities can be used to find the values of r and y?
(x240
OA
y2 20
x + y s 80
(x + y 2 160
x 540
y s 20
x + y s 80
(x + y 2 160
x 240
y2 20
x + y 2 80
(x + y s 160
OD
x 540
y s 20
x + y 2 80
x + y s 160
Answers
Answer:
The system of inequalities can be used to find the values of x and y is
z ≥ 40
y ≥ 40
x+y ≥ 80
x+y ≤ 160
Step-by-step explanation:
Let z represent the number of pounds of potatoes and y represent the number of pounds of onions.
In mathematics at least means equal or greater than ,
So applying this property we get
z ≥ 40 → at least 40 pounds of potatoes
y ≥ 40 → at least 20 pounds of onions
x+y ≥ 80 → combined must be at least 80 pounds
x+y ≤ 160 → but must not exceed 160 pounds.
So the correct choice is B
Help me out here please
Answers
Answer:
the answer should be 1/8 miles.
Step-by-step explanation:
Lynnette can wash 959595 cars in 5 days.
How many cars can Lynnette wash in 11 days?
Answers
Answer:
Lynnette can wash 2111109 in 11 days
Step-by-step explanation:
Have a good day :)
HELP PLEASE!! VERY FAST!!
Answers
Answer:
the correct answer is option B. V only
What is the value of 6n
2 when n =3?
Answers
Answer:
54
Step-by-step explanation:
6n²
= 6(3)²
= 6(9)
= 54
what is the area of a rectangle with sides of 4 inches by 8 inches
Answers
Answer:
32
Step-by-step explanation:
[tex]4 \times 8 = 32[/tex]
To find the area of a rectangle multiply the Length by the Width. The length is 8 and the width is 4.
8 x 4 = 32
Hope this helped!
hey! i’ll give brainliest please help!
Answers
Rewrite using a fractional exponent
[tex]\sqrt[3]{7^2}
Answers
Answer:
9π cm³
Step-by-step explanation:
We require to find the height (h) of the cylinders
The volume (V) is calculated as
Ah ( A is the base area and h the height ), then
3πh = 18π ( divide both sides by 3π )
= 6
Then the height of the smaller cylinder = 6 - 3 = 3 cm
3π × 3 = 9π cm³ ← volume of smaller can
Step-by-step explanation:
Maria is making a snack mix. For the recipe, she needs: •24of a cup peanuts •14of a cup raisins •24cup chocolate chips. Maria will double the recipe. What is the total amount of peanuts, raisins, and chocolate chips she will need? Group of answer choices
Answers
Answer: 48, 28,48
Step-by-step explanation:
Given
Maria is making a snack that needs 24 cups of peanuts, 14 cups of raisin, 24 cups of chocolate
If she doubles the recipe then, she needs 48 cups of peanuts, 28 cups of raisin, 48 cups of chocolate.
x^2 - 36x + ? What Number would make this a perfect trinomial
Answers
Answer:
324
Step-by-step explanation:
c = (b/2)²=(-36/2)²=(-18)²=324
24. Vince spent half of the money in his wallet on a new jumper
He then spent S15 on lunch.
After lunch he spent two thirds of the money remaining in his wallet on a hat.
If he is left with SIO in his wallet. how much did he have to begin with?
Answers
Answer:
$90
Step-by-step explanation:
Sorry to ask but can I have brainliest
Shoes that normally cost $79.99 are on sale for
15% off. What is their sale price?
Answers
$79.99 - 15% = $67.9915
...........,..................................
Write an equation for a circle with center at (5,-2) and diameter of 8 centimeters.
I’ll give Brainlessly or whatever it’s called
Answers
Answer:
[tex](x-5)^2+(y+2)^2=16[/tex]
Step-by-step explanation:
lol brainlessly...
General Circle function: [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius.
The radius of the circle is half the diameter so: 8 / 2 = 4
The x-coordinate of the circle is 5
The y-coordinate of the circle is -2
Plug in.
[tex](x-5)^2+(y-(-2))^2=4^2[/tex]
[tex](x-5)^2+(y+2)^2=16[/tex]
Which equation can be used to solve for r in the following diagram?
60°
V
(4x – 20)
Answers
Answer:
c.
Step-by-step explanation:
60= (4x - 20)
expl: vertically Opposite angles
what is the value of X? (geometry, right triangles)
Answers
Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5 → C
HELP DUE IN 5 MINUTES
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends
Which equation can he use to find p, the number of pencils each friend will receive?
p+6=30
p-36=30
6p=30
p/6=30
Answers
Answer:
6p=30
Step-by-step explanation:
Which of the following lists is in order from smallest to largest?
0.2, 0.05, 0.48, 0.6
0.2, 0.48, 0.05, 0.6
0.05, 0.2, 0.6, 0.48
0.05, 0.2, 0.48, 0.6
Answers
Answer:
0.05, 0.2, 0.6, 0.48 I think
Answer:
0.05,0.2.0.60,0.48
Step-by-step explanation:
hope it helps ... kinda confused betwweeen 0.6 and 0.48
What should be done to these equations in order to solve a system of equations by elimination?
I- 3x + 2y = 16
12x + 5y = 21
Choose one correct answer:
Multiply the first equation by 2 and the second equation by 3.
Multiply the first equation by 3.
O Nothing needs to be done, since they both equal have 2's and 3's for coefficients.
O Multiply the first equation by
3 and the second equations by 2
Answers
Answer:
B is the correct answer
Step-by-step explanation:
Since it gets rid of the y so you could find the x and then work around to find the Y.
Answer:
Multiply the first equation by 3.
Step-by-step explanation:
Does anyone get this
Answers
Answer:
Step-by-step explanation:
You do know you have to give us the answer choices right till then can’t help sorry
Ade cycled for 2 hours at an average speed of 15 km/h. Kali travelled the same route as Ade but it took her 2 hour 15 minutes. What is Kali's average speed to 1 dp?
Answers
Answer: 14.0 km/h
Step-by-step explanation:
First find the distance that both Ade and Kali travelled. Use the time and speed of Ade to find this out:
Distance = Speed * Time
= 15 * 2
= 30 km
Kali took 2 hours 15 minutes to travel 30km. Her speed is therefore:
= Distance / Time
Convert the time to decimal:
Mixed fraction = 2¹⁵/₆₀
= 2¹/₄
Decimal = 2.15 hours
Average speed = 30 / 2.15
= 13.95
= 14.0 km/h
Answer to this please
Answers
Answer:
[tex](150 \times 75 - 75 \times 75 \times 3.14 \times 0.5) \times 0.5 = (11250 - 8831.25) \times 0.5 = 1209.375[/tex]
Rajib wrote the equations y = 8 x minus 2 and y = negative 4 x minus 5. What can Rajib conclude about the solution to this system of equations? The point (2, 14) is a solution to this system of equations. The point (14, 2) is a solution to this system of equations. The point (Negative 4, negative one-fourth) is a solution to this system of equations. The point (Negative one-fourth, negative 4) is a solution to this system of equations.
Answers
Answer:
The point (Negative 4, negative one-fourth) is a solution to this system of equations
Step-by-step explanation:
y = 8x - 2
y = - 4x - 5
y - 8x = - 2 - - (1)
y + 4x = - 5 - - - (2)
Subtract 1 and 2
-8x - 4x = - 2 - (-5)
-8x - 4x = 3
-12x = 3
x = - 1/4
y = 8(-1/4) - 2
y = - 2 - 2
y = - 4
(-1/4, - 4)
Answer:
hello! your answer is D! :)
Step-by-step explanation:
i took the test.
Tyson is dividing -30 by a negative integer. Which statement describes the quotient Tyson should get?
A.
It will be positive and greater than 30.
B.
It will be positive and greater than 30.
C.
It will be positive and less than or equal 30.
D.
It will be negative and less than or equal to -30.
Answers
Tyson is dividing -30 by a negative integer then the statement C. It will be positive and less than or equal 30 Tyson will get.
What is an integer ?An integer is a number which has no decimal part.
According to the given question Tyson is dividing -30 by a negative integer.
Let us take the greatest negative integer which is - 1.
Now of e divide (-30/-1) we get 30 which is the quotient.
Now let us take an negative integer which is same as the dividend which will be - 30 it self now if we divide (-30/-30) we get quotient as 1.
So, the least quotient is 1 and the greatest quotient is 30.
∴ In both the cases it is positive and less than or equal to 30.
learn more about integers here :
https://brainly.com/question/15276410
#SPJ2
Graph y = 2x and y= 2x
What x-values are solutions to the system?
Answers
Answer:
Wait u gave the same equation twice, do u mind checking back to it?
Step-by-step explanation:
Play practice starts at 7:15 P.M. Will needs 35 minutes to eat dinner, 20 minutes to get ready, and 25 minutes to get to the school theater. What is the latest time Will should begin eating dinner if he wants to be on time for play practice?
Answers
Answer:
5:55
Step-by-step explanation:
You add the minutes together and subtract it from the 7:15
=5:55pm