The parallelogram below will be cut into two congruent triangles. What is the area of one of the triangles?
Answers
Answer:
Area of each triangle = 35 cm²
Step-by-step explanation:
Given:
Base of parallelogram = 14 cm
Height of parallelogram = 5 cm
Two equal congruent triangles
Find:
Area of each triangle
Computation:
We know that equal congruent triangles have equal area
So,
Area of each triangle = Area of parallelogram / 2
Area of each triangle = Area of parallelogram / 2
Area of each triangle = [B x H] / 2
Area of each triangle = [14 x 5] / 2
Area of each triangle = [70] / 2
Area of each triangle = 35 cm²
Related Questions
Given the equation: y = 3 (2x - 1) Complete the table of values. y - 1 0 9
Answers
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
4. The Monster is a roller coaster that uses a design
similar to the Ravine Flyer II. The Monster reaches
a height of 120 feet, but then drops to -25 feet.
Order the highest and lowest points of the two
roller coasters from least to greatest.
Answers
Answer:
asasasdcvxcvszs
Step-by-step explanation:dsadsdasz
4) Number of rational numbers between – 3 and – 4 are _______ *
1 point
Uncountable
4
2
3
Answers
Answer:
uncountable
Step-by-step explanation:
----------------uncountable-----------------
Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles worth $0.05 each . The clerk paid Gina $0.80 for all of the bottles . How many bottles worth $0.10 did Gina return?
Answers
Answer:
5 bottles
Step-by-step explanation:
a total of $0.80 was paid
6 $0.05 bottles were returned= $0.05×6= $0.30
remainder= $0.80-$0.30= $0.50
amount of $0.10 bottles returned= $0.50÷$0.10= 5
find m1 and m2
m2 (×10+10)°
m1 (3×+4)°
Answers
Answer:
Step-by-step explanation:
I can't think of any right answer?
Answers
Hope this helps!!
Please consider brainliest!<3
Have a nice day!
help me with this please.
x = ?
use socatoah
Answers
Answer:
26
Step-by-step explanation:
[tex] In\: \odot Y, [/tex] WZ is tangent to the circle at point Z and YZ is radius.
[tex] \therefore YZ \perp WZ[/tex]
(tangent radius theorem)
[tex] \therefore m\angle WZY = 90\degree [/tex]
Since, side opposite to 90° angle is called hypotenuse.
So, x represents the length of hypotenuse of [tex] \triangle WYZ[/tex]
Thus, by Pythagoras Theorem
[tex]x = \sqrt{ {24}^{2} + {10}^{2} } \\ \\ = \sqrt{576 + 100} \\ \\ = \sqrt{676} \\ \\ = 26[/tex]
Answer:
this answer is not right because the Y is not 90 degrees the Z angle is 90 degrees so the answer should be 26
if the trangle is right trangle use Phythagoras
576-100=476=x²
x²=476
x=2√119
8 – 12 + 16 - ( 35 + 19 -13 – 32 + 28 ) – 6 + (17 – 20 + 13 – 5 )
Answers
Hope this helps
At birth, the rhino weighed 85 pounds. The rhino gained the same amount of pounds each month for 6 months. After 6 months, the rhino weighed 493 pounds. How much weight did it gain each month?
Answers
Answer:
68 pounds a month
Step-by-step explanation:
so what i did is subtract 85 because that was the starting weight, now we have 408 I divided 6 (how many months) and got 68.
) () = 2 − 6 + 13 Translate f(x) 7 units to the left and down 5 units. Write your new function in vertex form
Answers
Answer:
[tex]y= (x -4)^2 - 1[/tex]
[tex]Vertex = (4,-1)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 6x+13[/tex]
Required
7 units left and 5 units down
First, we have: [7 units left]
The rule is:
[tex](x,y) \to (x-7,y)[/tex]
So, we have:
[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]
Next, we have: [5 units down]
The rule is:
[tex](x,y) \to (x,y-5)[/tex]
So, we have:
[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]
[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]
Rewrite as:
[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]
Expand
[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]
Collect like terms
[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]
[tex]y = x^2 -8x +15[/tex]
To write in vertex form, we have
Subtract 15 from both sides
[tex]y -15= x^2 -8x[/tex]
Divide (-8) by 2; Add the square to both sides
[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]
[tex]y -15+ 16= x^2 -8x + 16[/tex]
[tex]y +1= x^2 -8x + 16[/tex]
Expand
[tex]y +1= x^2 -4x - 4x + 16[/tex]
Factorize
[tex]y +1= x(x -4) -4(x - 4)[/tex]
Factor out x - 4
[tex]y +1= (x -4)(x - 4)[/tex]
Rewrite as:
[tex]y +1= (x -4)^2[/tex]
Make y the subject
[tex]y= (x -4)^2 - 1[/tex]
The vertex is:
[tex]Vertex = (4,-1)[/tex]
Cylinder X and Cylinder Y are similar. The volume of Cylinder Y is 89 in. Find the volume of
Cylinder X
4 cm
!!
22 cm
Cylinder X
Cylinder Y
O A. 45 cm
OB.
712 cm3
O C.
178 cm3
Answers
Answer:
Volume of Cylinder X = 712 cm³
Step-by-step explanation:
Given:
Volume of Cylinder Y = 89 cm³
Radius of cylinder Y = 2 cm
Radius of cylinder X = 4 cm
Find:
Volume of Cylinder X
Computation:
We know that, Cylinder X and Cylinder Y are similar
So,
Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³
Volume of Cylinder X / 89 = [4/2]³
Volume of Cylinder X / 89 = [2]³
Volume of Cylinder X / 89 = 8
Volume of Cylinder X = 8 x 89
Volume of Cylinder X = 712 cm³
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is
the solution set of this problem?
(-0, -21)
(-00,-21]
[-21, +00)
(21, +00)
Answers
Answer:
let the number be x
5(x+27)>6(x+26)
5x+135>6x+156
5x-6x>135-156
-x>-21
×<21
(21,+00)
1
1) Hannah wants the area of her dog's rectangular play area to be 300 square feet. If one side of
the rectangle needs to be 12 feet long, how long will the other sides be?
300 sq ft
22 ft
I need help
Answers
Answer:
#1Rectangle area:
A = lwGiven:
l = 12 ft, A = 300 ft²Find w:
12w = 300w = 300/12w = 25 ft#2Perimeter is the sum of side lengths:
P = 2 1/4 + 5 2/5 + 5 17/20 =
2 + 5 + 5 + 1/4 + 2/5 + 17/20 =
12 + 5/20 + 8/20 + 17/20 =
12 + 30/20 =
12 + 1.5 =
13.5 ft
#3Cost of a shirt = $19.99Number of shirts = 6Total cost:
$19.99*6 = $119.94Which number is the numerator in the fraction 1/2
Answers
Answer:
1
Step-by-step explanation:
The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.
[tex]\frac{Numerator}{Denominator}[/tex]
Answer:
The numerator is 1.
Step-by-step explanation:
The numerator is the number above the fraction bar; the denominator is below.
[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]
Is this a polygon or trapezoid? A. Yes B. No
Answers
Answer:
No
Step-by-step explanation:
Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides
Answer:
No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.
What’s 1+1? For real, this is the hardest question EVER!
Answers
Answer: 2
Step-by-step explanation: Take on finger and add another and count how many fingers you got now.
WILL GIVE BRAINLIEST *NO LINKS*
Answers
Answer:46%
Step-by-step explanation:
Answer:
23/50 or 46%
Step-by-step explanation:
I just added red and purple out of the total(red+purple/total=11+12/50=23/50)
then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)
Problems 1-2, which symbol should be used to make the values true; > or
Answers
Answer:
1. <
2. <
Step-by-step explanation:
Have a good day :)
PLEASE HELP ME ITS DUE IN LIKE 7 mins
Answers
Answer:
919,797.64
Step-by-step explanation:
1 82100
2 84152.5
3 86256.3125
4 88412.72031
5 90623.03832
6 92888.61428
7 95210.82964
8 97591.10038
9 100030.8779
10 102531.6498
total = 919,797.64
Write the equation of the line with slope -7/8 and y-intercept of -4/5
Answers
Answer:
y= -7/8 - 4/5
Step-by-step explanation:
y=mx+b
y= -7/8 + y intercept (b)
so y= -7/8 - 4/5
help what is the quadratic equation because I think I did it wrong
Answers
Answer:
Exact form:
[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]
Step-by-step explanation:
Take the root of both sides and solve.
The label for area will always be the units
(feet, centimeters, inches, etc) squared.
Which labels below represent units
squared? Choose all that apply!
cm
mm2
in2
be
mi
ft2
Answers
What is the radius of a sphere with a volume of 797 ft^3to the nearest tenth of a
foot?
Answers
Answer:
[tex]\displaystyle r \approx 5.8 \ ft[/tex]
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3}\pi r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
Volume V = 797 ft³
Step 2: Solve for r
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle 797 \ ft^3 = \frac{4}{3}\pi r^3[/tex][Division Property of Equality] Isolate r term: [tex]\displaystyle \frac{2391}{4 \pi} \ ft^3 =r^3[/tex]Rewrite: [tex]\displaystyle r^3 = \frac{2391}{4 \pi} \ ft^3[/tex][Equality Property] Cube root both sides: [tex]\displaystyle r = \frac{4782^{\frac{1}{3}}}{2 \pi^{\frac{1}{3}}} \ ft[/tex]Evaluate: [tex]\displaystyle r = 5.75162 \ ft[/tex]Round: [tex]\displaystyle r \approx 5.8 \ ft[/tex]In triangle DEF, find the missing side as an exact value:
Answers
Answer:
8.60
Step-by-step explanation:
the diagram is optically misleading.
how can the 5 side be longer than the 7 side ?
but ignore that.
the important thing is that this is a triangle with a 90 degree angle.
so, we use Pythagoras' formula : a^2 + b^2 = c^2
we know a and b as 7 and 5.
so, the equation is 7^2 + 5^2 = c^2
=> 49 + 25 = c^2
=> 74 = c^2
=> the missing side length c is
[tex] \sqrt{74} = 8.60[/tex]
hi guys
I need 3 minus and plus operations with answer thx!
Answers
1999+1001=3000 1091+1009=3000 2000+1000=3000
3000-1001=1999 3000-1009=1091 3000-2000=1000
plz help!! ty!!! :))
Answers
Answer:
19/18
Step-by-step explanation:
ii put it inna calculator
Rachel made 6 birdhouses and sold 4 of them for $19 each. Is it reasonable that she had $57 in receipts?
Answers
Answer: It is not reasonable. She should have $76
Step-by-step explanation:
If Rachel sold 4 birdhouses for $19 each, the amount that she should have received is:
= 19 * 4 birdhouses
= $76
It is therefore not reasonable that she had only $57 in receipts as she should have $76.
Find the vertex of the parabola: y = -2x2 - 4x - 7
Answers
Plug this value back into the function to find the corresponding Y value
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find mZF
(b) Find AB
с
D
60°
4
60
100
60°
m 2F = 0
AB = 0
Continue
© 2021M
Answers
Answer:
40
4
Step-by-step explanation:
a.) because the sides are the same their angles must be too
let x be the angle
100+x+x=180
x=40
b.) because the angles are all the same their sides must be too
4
What is the equation of the following line? Be sure to scroll down first to see all answer options. (0, 0) (3,-9)
Answers
Answer:
Equation to find the slope
[tex]\frac{y2-y1}{x2-x1} =\frac{-9-0}{3-0} = -9/3 = -3x[/tex]
y=-3x
hope that answers your question
Step-by-step explanation:
Answer: C. y = -3x
Step-by-step explanation:
Since the line runs through the origin (0, 0), we don't have to write a y-intercept. To calculate the slope, we determine the change in y value over the change in x value.
Looking at the graph, we see that for every +1 x, we have -3 y, so the slope is -3, which we multiply by x in the equation.