The area of the rhombus ABCD is 24.7 cm².
The length of diagonal BD is 6.5 cm.
What is the area of a rhombus?A rhombus have equal four sides and the diagonals of the rhombus divides it into four equal right triangles. The area of the rhombus is the sum of individual areas of the four right triangles.
The hypotenuse side of the right triangle = side of the rhombus = BC = 5 cm
One of the legs of the right triangle = AO = OC = 3.8 cmLet the second leg of the right triangle = OB = OD = xThe second leg of the right triangle is calculated as follows;
[tex]x^2 + 3.8^2 = 5^2\\\\ x^2 = 5^2 - 3.8^2 \\\\ x^2 = 10.56\\\\ x = \sqrt{10.56} \\\\ x = 3.25 \ cm[/tex]
The area of one right triangle of the rhombus is calculated as follows;
[tex]A = \frac{1}{2} (3.8)(3.25)[/tex]
The area of the rhombus ABCD is calculated as follows;
[tex]A = 4 \times \frac{1}{2} (3.8)(3.25)\\\\ A = 24.7 \ cm^2[/tex]
The length of diagonal BD is calculated as follows;
[tex]BD = OB \ + \ OD\\\\ BD = x \ + \ x\\\\ BD = 3.25 \ cm \ + \ 3.25 \ cm\\\\ BD = 6.5 \ cm[/tex]
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Simplify (5 1/3) exponential 3
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125/3
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#CarryOnLearning
Solve for x
simple geometry
The answer is 29
when we see angles like that we will use a property of a parallelogram
which means
2x-10 angle plus 4x+16 angle equal to 180 degrees
let's find out
(2x-10)+(4x+16)=180
6x+6=180
6x=174
x=29
Have a great day
Answer:
From the above attachment we can conclude that,
[tex](2x - 10)° + (4x + 16)° = 180° \\ 2x - 10 + 4x + 16 = 180 \\ 2x + 4x - 10 + 16 = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\x = \frac{174}{6} \\ \boxed{x = 29}[/tex]
Therefore, the value of x is 29
x = 29 is the right answer.Point upper D left parenthesis negative 3 comma 5 right parenthesis. is a vertex of triangle DEF. After a rotation of the triangle about the origin, upper D prime is located at left parenthesis 3 comma negative 5 right parenthesis. Which of the following was the rotation of the triangle?
The rotation that the triangle DEF underwent is defined as follows:
180º around the origin.
RotationA rotation is one example of transformation that a function can undergo, along with transformation, compression, stretching, dilation or reflection.
A rotation changes the inclination of the figure, and the rules for each rotation are given as follows:
90° clockwise rotation: (x,y) -> (y,-x)90° counterclockwise rotation: (x,y) -> (-y,x)180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y)270° clockwise rotation: (x,y) -> (-y,x)270° counterclockwise rotation: (x,y) -> (y,-x)In this problem, the coordinates are given as follows:
Original: (-3,5).Image: (3,-5).Hence the rule is:
(x,y) -> (-x, -y).
Meaning that a rotation of 180º around the origin was done.
More can be learned about rotation at https://brainly.com/question/26249005
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PLEASE HELP HELP
Referring to the Fig. in Question #31, the spinner is divided
into equal parts. What is the probability of
stopping on a multiple of 3?
Answer:75 ithink
Step-by-step explanation:
Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?
I need help with these two. One of them I need help with what to write for the writing part (Also need help for making sure I am correct) And the other I need help o with the math and writing part.
HELP ASAP!!!!!!!!!!!!!!
Answer:
10
Step-by-step explanation:
just try to make the lines even and get the answer 10
Answer:
the answer is √89........
...
In a class of 28 students, 12 students packed their lunch. At this rate, how many students out of 336 would be expected to pack their lunch?
Answer:
144 students
Step-by-step explanation:
12/28=3/7
3/7*336=144
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If out of 28 students, 12 students packed their lunch.
The number of students who packed their lunch out of 336 students is 144 students.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
3 miles in 3 hours.
1 mile in one hour.
We have,
In a class of 28 students, 12 students packed their lunch.
We can write this as:
28 students = 12 students packed lunch ______(1)
We have to make 28 students into 336 students.
This can be done by multiplying 12 on both sides of the equation (1)
Multiply 12 on both sides.
12 x 28 students = 12 x 12 students packed lunch
336 students = 144 students packed lunch
Thus,
The number of students who packed their lunch out of 336 students is 144 students.
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Are 6/9 and2/3 proportion
Answer:
yes, they are proportional
Step-by-step explanation:
6/9 is just three time as big as 2/3 but they are basically the same fraction
Answer:
Step-by-step explanation:
yes, it is proportional
6/9 = 2/3
18 = 18
find the distance between the points
a)(-1,4,3)and(2,2,-3)
Answer:
a) point a start with negative but point b) start with positive
solve 4x + 5 = x + 8 please
Answer:
x = 1
Step-by-step explanation:
4x+5=x+8
4x-x = 8-5
3x=3
x=1
Answer:
1
Step-by-step explanation:
4*1 = 4
4+5 =9
1+8=9
9=9
what's the answer to
-12(d-5)-29=43
Answer:
d=-1
Step-by-step explanation:
The answer would be d = -1
A plumber has a 36-in. pipe. He must cut into two pieces so that one piece is 14 inches longer than the other. How long is each piece?
A student's height is measured as 66 in. to the nearest inch. What are the
student's minimum and maximum possible heights?
First correct answer gets Brainliest
Answer:
2nd option is the correct answer
List all the 3-digit numbers that fit
these clues.
• The hundreds digit is greater
than 7.
• The tens digit is less than 2.
• The ones digit is the same as the
hundreds digit.
So, the numbers that fit the clues are 191, 193, 195, 197, 199.
Zayn puts garland around a square window. He uses 888 meters of garland.
What is the height of the window?
Answer: 3552
Step-by-step explanation:
888 times 4
You have 8 cups of flour. A recipe calls for ⅔ cup of flour. Another recipe calls for ¼ cup of flour. How much flour do you have left after making the recipes?
Answer:
7 1/12 cups of flour
Step-by-step explanation:
2/3 + 1/4 = (8 + 3)/12 = 11/12
8 - 11/12 = 85/12 = 7 1/12 cups
Sorry forgot the to put the question in.
Answer:
-2/3 rational i/2 irrational 0.7 rational √5 irrational √ 16 irrational 0 whole number 3.89 rational -4 integer
Step--by-step explanation:√ 5 rational or irrational
Natural Number: -2/3, 0.7,√16, 0, -4
Whole Number: 0.7,√16 0
Integers: -2/3, 0.7,√16,0, -4
Rational Number: -2/3, 0.7, √16,0, -4
Irrational Number: π/2, √5,
How much more money do the employees from Hideaway Pizza make at
the end of the month than the employees at Red & Blue's? Round your
answer to the nearest hundredth.
Supposing linear functions for both cases, it is found that employees at Hideaway pizza make $250 more at the end of the month.
--------------------
The salary, in dollars, for x days of work at Hideaway pizza is of:
[tex]S_h(x) = 300 + 40x[/tex]
At Red & Blue's, it is of:
[tex]S_r(x) = 500 + 25x[/tex]
A month is 30 days, so, the salaries are:
[tex]S_h(30) = 300 + 40(30) = 300 + 1200 = 1500[/tex]
[tex]S_r = 500 + 25(30) = 500 + 750 = 1250[/tex]
1500 - 1250 = 250, thus:
Employees at Hideaway Pizza make $250 more at the end of the month.
A similar problem is given at https://brainly.com/question/24610273
Help please !!!!!!!!!!
Answer:
$ 50,000
Step-by-step explanation:
Let her salary = x
[tex]8\dfrac{3}{4} *x=4375\\\\\dfrac{35}{400}*x=4375\\\\x=4375*\dfrac{400}{35}\\\\x = 125*400[/tex]
Salary = $ 50,000
a child has a collection of football cards. they are to be kept in a folder with 9 cards on each page.the child has 28 complete sets of 12 cards. how manypages will be needed to store the cardss?
Answer:
37.7
Step-by-step explanation:
If the diameter is 7.5 what is the radius?
If the radius is 17 what is the diameter?
If the diameter is 21 what is the radius?
If the radius 813 what is the diameter?
Answer:
Here is the answer to your question its fairly simple.
Step-by-step explanation:
3.75 is the radius
34 is the diameter
10.5 is the radius
1626 is the diameter
A number is four times as large as another number. The sum of the numbers is 180, Find the smaller number.
Answer:
z
Step-by-step explanation:
.
PLEASE HELP ME ASAP and show your work
2. Mary answered 6 questions correctly on her Biology test.
She answered 20% of the questions correctly. In total, how
many questions were on the Biology test?
Answer:
60
Step-by-step explanation:
if 6 questions is 20 percent, that means every 3 questions should be 10 percent. 60÷3=20
Answer:
The Answer is 30 questions in total.
Step-by-step explanation:
1. The first thing you would want to do is to break down this question.
For every 6 questions, this is 20% of the test done.
2. You now would want to divide 100% (the full amount on the test) by 20%.
100%/20% = 5
3. Now, multiply both to get your answer.
6·5= 30
20%x5= 100%.
Therefore, the total amount of questions on the test is 30 questions.
When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
Answer:
a) 9000 gam
Step-by-step explanation:
Answer:
a) 9000 grams
Step-by-step explanation:
1 kg=1000 g
9*1000=9000
If everything in a store is 20% off, what is the equation of the proportional relationship that describes the amount of the discount
y=___x
Answer:
y = 0.20x
Step-by-step explanation:
Terrance earned $444 in March, $523 in April and $410 in May. He divided his earnings between himself and his 4 other workers. How much did they each earn?
Answer:
$275.40
Step-by-step explanation:
Add 444+523+410=1377
divide 1377 by 5 and u get 275.4
george started a coin collection. his dad gave him 75 coins. each month he will add 20 coins. Which equation can be used to find y, the total number of coins in george's collection after x months? A. y = 75x + 20x By = 20x + 75 C. y = 75x - 20 D. 20x - 75
Answer: B
Step-by-step explanation: Hope this helps!
he got a one time thing of 75 coins and now gets 20 coins for each month which explains 20x. (X being the number of months)
The equation that could be used for determining the y should be option B y = 20x + 75
Calculation of an equation:
Since dad gave him 75 coins. each month he will add 20 coins.
Here we assume a number of months be x
So, the equation is
y = 20x + 75
Therefore, we can conclude that The equation that could be used for determining the y should be option B y = 20x + 75
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