Parallelogram ABCD is a rhombus. Side BC = 5cm and segment AO = 3.8cm
What is the area of ABCD?
What is the length of diagonal BD?
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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Please help?! I'm confused I need help with all of them! and if you can please show your work!! For 50 points!
Answer:
1 x= 23°
2 x= 148°
3 x= 106°
4 x=17.3°
5 x=25°
6 x=30°
7 x=45°
8 x=48°
9 x=44°
Timothy swam 24 laps . Frank swam 72 laps. How many times as many laps did frank swim than timothy?
Answer:
3
Step-by-step explanation:
[tex]72[/tex]÷[tex]24=3[/tex]
Samantha walks a total of 3/4 miles to get to and from school each day write an addition expression that can be used to find the total numbers of miles that has Samantha walk to and from school over 2 days Then evaluate the expression
Who has walked closer to 1 mile than to 0 miles?
Answer: Mr. Nunez
Hope this helps :)
Pls Help and put a proper answer!
You want to buy a digital camera that costs $234. You have saved $50 so far. You earn $6.50 per hour at your summer job. Write and solve an inequality that represents the number of WHOLE hours you need to work in order to buy the digital camera.
Answer:
H = (234 - 50)/6.50
H = 29 hours
Step-by-step explanation:
H = hours to work
H = (234 - 50)/6.50
H = 28.31 hours
Name 2 decimals that round to 8.64.
I need help plzzzzz
Answer:
8.643, 8.639
Step-by-step explanation:
Step-by-step explanation:
What is the number 8.64 rounded to the nearest tenth? -
What is 2.098 rounded to two decimal places? ... You could also use round-to-odd, which is like round-to-even in its ability to remove bias, ...
Leo has two choices of cake and he needs one that will feed the most people. One of them has the height of 5 inches and a diameter of 12 inches and the other one is 6 inches tall and 10 inches across. Which cake has a bigger volume and will feed more people?
WILL MARK BRAINLEST!!!
PLEASE HELP
Which statement is always true? O A vertex is the intersection of two planes. O An edge is where two planes intersect in a line. O A face is the point where three planes meet. OTwo planes have to intersect each other.
Answer:
the first one
Step-by-step explanation:
it's the first one
Answer:you will have to split it in half
Step-by-step explanation:
I just did something like this
Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60
Answer:
median-75
mode-70
range-40
mean-77
Step-by-step explanation:
THE ANSWER CHOICE FOR D. 15 BUT HELP PLEASE
Answer:
60
Step-by-step explanation:
PLEASE HELP I NEED TO FINISH THIS NOW!!!
Gethyn drinks 48 fluid ounces of water in one day. He needs to drink 8 cups in total. How many more cups does he need to drink? (4 points) Group of answer choices 2 cups 6 cups 384 cups 768 cups
Answer:
The answer is 6
Step-by-step explanation:
Since you have to divvied 40 to 8 witch gives you 6
Can someone please help me graph this I really need help and I’m really confused !!
Answer:
For example number 1 is A(-3,5), so on the graph you will go over -3 spaces to the left. Then for 5 you will go up on the graph. Your going up on the graph because it is a positive number. Then the A will be 3 spaces over from positive 5.
Step-by-step explanation:
Hope this helped :)
Laura retired from her job recently, and she has saved about $427,595.00 over the course of her career. She plans to withdraw
$1,490.00 each month to pay for living expenses. After a certain amount of time, the balance in Laura's account is $391,835.00.
How many months have passed since Laura retired?
Answer:
24 mouths have passed
Step-by-step explanation:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
--------------------------------------------------------------
Length Width Height
5 in. 214 in.
--------------------------------------------------------------
A) 79in.
B) 412in.
C) 134in.
D) 1018in.
mcyt mcyt mcyt mcyt mcyt
Find the value of y. Geometry, plz only answer if you know how to do it ! thanks
Answer:
y = 96
Step-by-step explanation:
In order to find y we have to find the value of x
angle "x" is an angle formed by a tangent line and a secant line.
Kindly look at the image.
As you can see an angle formed by a tangent and a secant is equal to half of its intercepted arc.
x's intercepted arc has a measure of 168
So...
X = [tex]\frac{168}{2}[/tex]
[tex]\frac{168}{2} =84[/tex]
So x = 84
Now to find y.
Angle "x" and angle "y" are formed on a straight line.
Angles formed on a straight line add up to equal 180°
That being said we can find a missing angle ( y ) by subtracting the given angle's measure ( angle x which has a measure of 84°) from 180
so y = 180 - 84
180 - 84 = 96
Hence y = 96
What is Olun 1
[tex] \frac{5}{6} - \frac{1}{4 } [/tex]
need help
Answer: =7/12
Step-by-step explanation:
what is the angle of a right angle plate? 30 degree or 45 degree or 901 degree or 180 degree
Answer:
A right angle is measured 90°
Step-by-step explanation:
A right angle is measured 90°
An acute angle is measured <90° (for example 30° and 45°)
An obtuse angle is measured >90° but <180° (for example 170°)
A straight angle is measured 180°
(1/6)^p = 36^3 x 6^18. What is the value of p?
Answer:
Step-by-step explanation:
(1/6)^p=36^3×6^18
[tex](\frac{1}{6}) ^p=(6^2)^3 \times 6^{18}\\\frac{1}{6^p} =6^{2 \times 3} \times 6^ {18}\\6^{-p}=6^6 \times 6^{18}\\=6^{6+18}\\=6^{24}\\-p=24\\p=-24[/tex]
What is the total amount of fabric needed to make the tent with the following dimensions?
Plz help me well mark brainliest!
Answer:
9:59
Step-by-step explanation:
Answer:
C) 9:59
Step-by-step explanation:
Now 9:29
in 30 min 9:59
3. LAKE How deep is the water 31.5 feet from the
shore?
31.5 ft
|+6 ft--- B
2 ft.
D
d ft
(A) 10
(B) 9.5
(C) 10.5
(D) 8
Please someone help!!
Link=REPORT
The first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. What is the first number that appears in both sequences?
Question 2 options:
16
40
46
52
Answer:
A) 16
Step-by-step explanation:
1st sequence: 72-8x
2nd sequence: 58-6x
Set both sequences equal to each other and solve for x:
72-8x=58-6x
14-8x=-6x
14=2x
7=x
x=7
Plug x=7 back into the equation:
72-8(7)=58-6(7)
72-56=58-42
16=16
So the first number that appears in both sequences is 16.
HELP WILL GIVE BRAINLEIST AND LOVE YOU FOREVER
A line goes through the points (-3,-6) and (6,9). Find the slope
Answer:
Slope = 5/3
-------------------
m = 5/3
Answer:
5/3
Step-by-step explanation:
Hello, to find the slope from two given points, you use this formula- y2-y1/x2-x1. In this problem, 9 would be y2, -6 would be y1, 6 would be x2, and -3 would be x1. The equation should look like this:
9-(-6)/6-(-3)
Since both are negatives, you would add it like this:
9+6/6+3= 15/9
Now, you need to simplify this fraction which is 5/3.
The volume of the prism is 8,412 cubic meters. what is the height in meters?
Answer:
the height is 20
3 Solve the equation log 2x = -5.
a) 2.5
b)-2.5
c) 0.000005
d) 0.025
2x = -5
x = -5 : 2
x = -2,5
................
PLEASE HELP
What is the slope-intercept equation of the line shown below?
(1,5)
(-2,-4)
Answer
y=9/3x
Step-by-step explanation:
What is the distance from (3.5 ,5) to (3.5, -12)
17
7
I'LL GIVE BRAINLIST TO THE FIRST ANSWER
Answer:
4
Step-by-step explanation:
2/5*100 = 40
40/10 =4
Answer:
4
Step-by-step explanation:
2/5 of a century is 40 years. 40 years is 4 decades