A right-angled triangle and a parallelogram are shown b
13 cm
h
6 cm
The area of the parallelogram is 4 times the area of the
The perpendicular height of the parallelogram is hcm.
Find the value of h.
Answers
A= 1/2 x6 x 13 = 3 x 13 =39 square
Area of the parallelogram is
39=156cm square
156 divided by 12
H=13
The height h will be equal to 13 cm for the parallelogram.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.
Given that a right-angled triangle and a parallelogram are shown b
13 cm and 6 cm. The area of the parallelogram is 4 times the area of the right angle.
The height h will be calculated as,
A= 1/2 x6 x 13 = 3 x 13 =39 square
Area of the parallelogram is,
39=156cm square
156 divided by 12
h=13 cm
Therefore, the height h will be equal to 13 cm for the parallelogram.
To know more about an area of the parallelogram follow
https://brainly.com/question/10744696
#SPJ2
Related Questions
which two cards show reflection, rotation, or translation?
Answers
Answer:
1 & 4
Step-by-step explanation:
because 3 & 5 is a reflection, 2 & 6 is a translation.
Enlarge triangle A by scale factor 1.5 with centre (0,2)
Answers
Scale factor 1.5
Let O (0,2) as the centre of enlargement
A (0, 0)
B (-2, 0)
C (-2, 4)
Step 1:
First draw lines from point O through A, B and C, as shown in the image attached below
Step 2:
Measure the length O A and multiply it by 1.5 to get the distance from O of the image point A';
<=> O A' = 1.5 × O A.
<=> OA' = 1.5 * [tex]\sqrt{2^2}[/tex]
<=> OA' = 1.5*2
<=> OA' = 3
Mark the point A' on the diagram
Step 3:
The images B' and C' can then be marked in a similar way and the enlarged triangle A' B' C' can then be drawn.
OB' = 1.5OB
<=> OB' = 1.5 *[tex]\sqrt{( 2^2+2^2}[/tex]
<=> OB' = 1.5*2[tex]\sqrt{2}[/tex]
<=> OB' = 3[tex]\sqrt{2[/tex]
OC' = 1.5*[tex]\sqrt{2^2+2^2}[/tex]
<=> OC' = 1.5*2[tex]\sqrt{2[/tex]
<=> OC' = 3[tex]\sqrt{2}[/tex]
learn more of triangle here https://brainly.com/question/16446634
#SPJ9
A parallelogram has an AREA of 7 square units. If the height that corresponds to a base is 14 units, what is the base?
Answers
Answer:
b = 0.5
Step-by-step explanation:
a = b x h
7 = 14b Divide both sides by 14
0.5 = b
Please Help I will give Brainlist !!! Its a Math Problem !! Given that the length of two sides of a triangle are 3 cm and 2 cm, which of the below is the only measure that could possibly be a length of the last unknown side?
Question options:
2 cm
5 cm
6 cm
9 cm
Answers
Answer:
2
Step-by-step explanation:
Triangle side theorem states the sum of the lengths of any two sides of a triangle must be greater than the remaining side
3 + 2 = 5 third side would have to be LESS than 5
so the only answer is 2 cm
The measure of an angle is 56.3°. What is the measure of its complementary angle?
Answers
Answer:
33.7
Step-by-step explanation:
Complementary angles are angles that when added, sum up to 90*
First, make the equation, x being the missing angle
90*= x + 56.3
Rewrite the equation to find the missing angle
90 - 56.3 = x
x= 33.7
Answer:33.7°
Step-by-step explanation:
To find the complement of an angle, subtract that angle's measurement from 90 degrees. The result will be the complement
90° - 56.3°
=33.7°
solve the inequality |x +4|-4>0
Answers
The inequality form of the given expression is:
x < -8 or x > 0
The interval notation is : (−∞,−8)∪(0,∞)
Given, the expression is |x + 4| - 4 > 0
An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.
Isolate the variable by dividing each side by factors that don't contain the variable.
⇒ |x + 4| - 4 > 0
⇒ |x + 4| > -4
Remove mod.
⇒ x + 4 > -4 or x - 4 > -4
⇒ x > -4 -4 or x > -4 +4
⇒ x <-8 or x > 0
Hence the internal notation is :
(−∞,−8)∪(0,∞)
The required graph is plotted.
Learn more about Inequality here:
brainly.com/question/25275758
#SPJ9
Find the measure of ∠ b ?
Answers
Answer:
38 degrees
Step-by-step explanation:
Angle 38 and b are the same.
Best painters charges $100 to paint a room and $15 per can of paint used. Top Painters charges $75 to paint a room and $30 per can of paint used. Which equation could be used to find the number of cans of paint (p) for which the cost of the two companies is the same?
a) 45p = 175
b) p(100 + 15) = p(75 + 30)
c) 100p + 15 = 75p + 30
d) 15p + 100 = 30p + 75
Answers
d. 15p + 100 = 30p + 75
tim has 74 socks, that are white or black. he has 1 more pair of white socks than black socks. how many individual socks of each color does he have?
Answers
Tim owns 74 socks, the colours of which are unknown.
He does, however, have an additional pair that is white rather than black.
Therefore, it suggests that we are working with the two hues white and black.
The result of dividing the total number of socks by two is:
= 74/2
= 37 socks, two pairs each for black and white.
But let's not forget that Tim has a pair of white socks in addition to his black pair.
The total number of white socks is equal to= 37+1= 38 socks.
Total black sock pairs= 37-1=36 socks.
Last but not least, the question asks us to count the number of single socks rather than pairs.
For white then:
There will be = (38x 2) socks per pair.
= 76 socks
For Black
The individual socks will be = (36 × 2)socks
= 72 socks
We can then deduce that there are 76 individual socks for white and 72 individual socks for black.
How many pairs of socks must you take to find a matching pair?The solution would have to be four. Despite the large number of socks in the drawer, there are only three different colours, so if you take four socks, you will undoubtedly find at least one pair that matches.
To learn more about pair of socks visit:
https://brainly.com/question/15162655
#SPJ4
russell runs 9/10 miles in 5 minutes. at this rate how many miles can he run in one minute
Answers
Answer:
I´m pretty sure it is 1.8 miles
Step-by-step explanation:
Which graph shows the function f(x) = x with an input of f ?
A coordinate plane with a line passing through (negative 4, negative 1), (negative 3, 0), and (0, 3).
A coordinate plane with a line passing through (negative 2, negative 5), (0, negative 3), and (3, 0).
A coordinate plane with a line passing through (negative 1, negative 3), (0, 0), and (1, 3).
A coordinate plane with a line passing through (negative 3, negative 2), (0, 0), and (3, 1).
Answers
Using translation concepts, the graph that shows that function f(x) = x with an input of f(x - 3) is given by:
A coordinate plane with a line passing through (negative 2, negative 5), (0, negative 3), and (3, 0).
What is the missing information?The input of the function, of f(x - 3), is missing.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the function is:
f(x) = x.
The translation is in the input, f(x - 3), meaning that the function is shifted 3 units right and defined by:
f(x - 3) = x - 3.
Hence three points on the graph are:
x = -2, f(x) = -5.x = 0, f(x) = -3.x = 3, f(x) = 0.Hence the correct description is:
A coordinate plane with a line passing through (negative 2, negative 5), (0, negative 3), and (3, 0).
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Answer:
D
Step-by-step explanation:
which expression shows the prime factorization of 36? 2 × 2 × 3 2 × 2 × 3 2 × 3 × 3 2 × 3 × 3 2 × 2 × 2 × 3 × 3 2 × 2 × 2 × 3 × 3 2 × 2 × 3 × 3
Answers
Answer:
36 = 2 x 2 x 3 x 3
Answer:
2 2/3 * 2 2/3 = 64/9 = 7 1/9 ≅ 7.1111111
Step-by-step explanation:
The result:
2 2/3 * 2 2/3 = 64/
9
= 7 1/
9
≅ 7.1111111
Spelled result in words is sixty-four ninths (or seven and one ninth).
How do we solve fractions step by step?
Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3
To find a new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Multiple: 8/
3
* 8/
3
= 8 · 8/
3 · 3
= 64/
9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(64, 9) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eight thirds multiplied by eight thirds is sixty-four ninths.
HOPE THIS HELPS!
I Did It On Another Website And Had To Re-Write It So If You Don't Understand It LMK!
[Thanks] Are Appreciated!
[High Rates] Are Also Really Appriciated
Have A Nice Day!
during math class, you find the length of a right triangle's hypotenuse with a theorem created long ago. who do you have to thank for that theorem?
Answers
The length of a right triangle's hypotenuse with a theorem created long ago is c² = a² + b², where 'c' = the hypotenuse of the right triangle and 'a' and 'b' are the other two legs.
We need to find the length of a right triangle's hypotenuse with a theorem created long ago.
What is a Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
The Pythagoras theorem equation is expressed as, c² = a² + b², where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
Therefore, the length of a right triangle's hypotenuse with a theorem created long ago is c² = a² + b², where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs.
To learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682.
#SPJ4
Please answer this math equation.
Answers
The table that represents the linear function is table (B)
How to determine the linear function?As a general rule, a linear function is any function that has a constant rate of change
This means that as the function independent value changes by a constant, the function dependent value changes by a constant
In other words, as the function x value changes by a constant, the function y value changes by a constant
Using the above as a guide, we can see the table B represents a linear function
This is so because, as x increases by 3, the y value decrease by -2
Hence, the table that represents the linear function is table (B)
Read more about linear functions at:
https://brainly.com/question/15602982
#SPJ1
if i drop a watermelon from the top of a water tower, and it takes 3.34 seconds to hit the ground, calculate how tall the tower is in meters.
Answers
The height of the water tower is found to be 54.66 meters.
What is acceleration due to gravity?A free-falling object is one that is falling solely due to gravity.
Some key features regarding the acceleration due to gravity are-
A free-falling component has a downward acceleration of 9.8 m/s/s (on Earth). This magnitude for the acceleration of a free-falling object is so significant that it has its own name. The acceleration of gravity is the acceleration of any object moving solely under the influence of gravity. In fact, the acceleration of gravity is so important quantity that scientists have a special symbol to represent it - the symbol g. The most precise numerical value for gravity's acceleration is 9.8 m/s/s.Now, according to the question;
It takes a watermelon 3.34 sec to reach the ground.
Use the equation of motion in straight line.
D = (1/2) x (gravity) x (time)²
D is the height of the water tower.
= (1/2) x (9.8 m/s²) x (3.34 sec)²
= (4.9 m/s²) x (11.16 sec²)
D = 54.66 meters.
Thus, the height of the water tower is estimated as 54.66 meters.
To know more about acceleration due to gravity, here
https://brainly.com/question/88039
#SPJ4
Prove the following inequality.
Answers
The proof of the inequality → (a + b)²/2 ≥ 2ab, is given below -
We have the following inequality -
(a + b)²/2 ≥ 2ab
We have to prove it.
What is inequality ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
According to the question, we have -
Inequality -
(a + b)²/2 ≥ 2ab
Proof -
Starting from the inequality - (a - b)² ≥ 0
(a - b)² ≥ 0
a² + b² - 2ab ≥ 0
a² + b² - 2ab + 2ab ≥ 2ab
a² + b² ≥ 2ab
Add - 2ab on both sides, we get -
a² + b² + 2ab ≥ 4ab
(a + b)² ≥ 4ab
Divide both sides by 2, we get -
(a + b)²/2 ≥ 2ab
Hence Proved.
To solve more questions on Proving inequalities, visit the link below-
https://brainly.com/question/13260153
#SPJ1
find the indicated value for the given function. f(4) =|2x-7|
Answers
Answer: 1
I did this problem a couple times and got 1 every time
What is the equation of the line?
y=-12+1
Oy=2x-1
O y=-2z+1
Oy=-z-1
Answers
Answer:
y = -1/2 x + 1.
Step-by-step explanation:
The slope is -1/2.
The y intercept is at y = 1
So, it's
y = -1/2 x + 1.
Find the reciprocal of -1 1/17
Answers
Answer:
17/-11
Step-by-step explanation:
why,because reciprocal in mathematics means changing the numerator to the denominator and denominator to numerator.
HOPE THIS HELPS
Let g(x) = {2x + 4 if x < −1, x + 4 if x ≥ −1.
Find the value of g^-1(-1)
Answers
The inverse of a function when x = -1 is g^-1(-1) = -5/2
Inverse of a functionLinear functions are function that has a leading degree of 1. Given the expression below;
g(x) = 2x + 4
Determine the inverse
y = 2x + 4
Replace y with x
x = 2y + 4
Make y the subject of the formula
2y = x - 4
y = (x-4)/2
g^-1(x) = (x-4)/2
Substitute x = -1 into the equation
g^-1(x) = (-1-4)/2
g^-1(-1) = -5/2
Hence the inverse of a function when x = -1 is g^-1(-1) = -5/2
Learn more on inverse of a function here: https://brainly.com/question/3831584
#SPJ1
How many significant digits are in the given measurement:
6040.0050 m
7
0
8
4
Answers
Answer:
8 significant digits
Step-by-step explanation:
Let's count
6040.0050
⬇ ⬇⬇⬇.⬇ ⬇⬇ ⬇
1 234 567 8
therefore it's 8 significant figures
The circumference is 25 ft I have to find what X is for my radius
R= -4x-5
Answers
The value of x based on the information given about the circumference is 2.24.
How to illustrate the information?It should be noted that the circumference is calculated as:
= 2πr
where
π = 3.142
r = radius = 4x - 5.
Circumference = 25
Therefore, circumference = 2πr.
(2 × 3.142)(4x - 5) = 25
6.284(4x - 5) = 25.
25.136x - 31.42 = 25
Collect like terms
25.136x = 25 + 31.42
25.136x = 56.42
x = 56.42 / 25.136
x = 2.24
Therefore, the value of x based on the information given about the circumference is 2.24.
Learn more about circumference on:
brainly.com/question/27447563
#SPJ1
The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answers
Answer:
120% = 162
10% = 13.5
100% = 135
so it's £135
hope this works :)
Please answer the 2 question in photo [ Brainliest + easy points ]
Answers
2.) The angle in the second picture is 180.° This is by the definition of a straight line. Think of this like a circle cut into 1/2; a circle is 360,° so 360/2 = 180.
write an equation of the line . through (1,-2);parallel to 2x=3y+4
Answers
Answer:
y = 2/3x - 8/3
or 2x = 3y + 8
Step-by-step explanation:
2x = 3y + 4
3y = 2x - 4
y = 2/3x - 4/3
If two lines are parallel, their slopes are equal
if m = 2/3, y = -2, x = 1
y = mx + b
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3 = -8/3
y = 2/3x - 8/3
or 3y = 2x - 8
or 2x = 3y + 8
if angle 2 equals (2x+5)degrees and angle 3 equals 85degrees, what is the value of x
Answers
Based on the information given, the value of x is 40 degrees
What are corresponding angles?Corresponding angles are defined as any pair of angles which on the same side of one or two lines, there is a cut through by a transversal.
It is also important to note that when a transversal intersects two parallel lines, the corresponding angles of the lines would be equal.
Given the angles;
Angle 2 equals (2x+5) degrees Angle 3 equals 85 degreesWe have that;
Angle 2 = Angle 3
Substitute the values
2x + 5 = 85
collect like terms
2x = 85 - 5
2x = 80
Make 'x' the subject by dividing both sides by 2
2x/ 2 = 80/ 2
x = 40 degrees
Thus, the value of x is 40 degrees
Learn more about corresponding angles here:
https://brainly.com/question/2009183
#SPJ1
10. Two of the greatest rainfalls ever recorded were on, July 4, 1956.
In Unionville, Maryland it rained 1.23 in. in 1 min. In Curtea-de-
Arges, Romania on July 7, 1889 it rained 8.1 in. in 20 min. If it
had rained for 20 min in Unionville at its same record pace, what
would be the difference between the two rainfall amounts?
Answers
Answer:
The difference would be Unionville would have had 24.6 in. of rain and Arges only had 8.1 in
Step-by-step explanation:
PLEASE ANSWER FAST
How many times larger is 7 x 10^5 than 2 x 10^3?
Answers
Answer:
698,000
Step-by-step explanation:
7×10^5=700000
2×10^3=2000
700,000-2000=698,000
The given 7 * [tex]10^5[/tex] is 3.5*10² times larger than 2 * 10³.
Given that,
To determine, how many times larger is 7 x 10^5 than 2 x 10^3.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
We have two values, here we have to determine the relationship between the two values.
[tex]ratio = 7*10^5 / 2 * 10^3\\Ratio = 3.5 * 10 ^2[/tex]
Implies,
[tex]7*10^5 = 3.5*10^2 (2 * 10^3)[/tex]
Thus, the given 7 * [tex]10^5[/tex] is 3.5*10² times larger than 2 * 10³.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ2
Given negative four and one sixth times negative three and fifteen hundredths, determine the product.
Answers
The resulting product of the expression is 13 1/8
Product of fractionsFractions are written as a ratio of two integers
Given the following expression
-4 1/6 * -3 15/100
Convert to improper fraction to have:
-25/6 * -315/100
-1/6 * -315/4
315/24
13 1/8
Hence the resulting product of the expression is 13 1/8
Learn more on product of expression here: https://brainly.com/question/4344214
#SPJ1
find f(-2)
i need help
Answers
Answer:
f(-2) = -1
Step-by-step explanation:
wwwwwwwwwwww
Answer: f(-2) = 5
Step-by-step explanation: In this piecewise function, when x is less than -1, the equation is -3x-1. -2 is less than -1 so we use the first equation. -3(-2)-1= 6-1 = 5.