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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Which of these nets will not form closed cubes?
Please help me
Answer:
From left to right: 1, 6, and 7
Step-by-step explanation:
Answer:
The first, sixth, and seventh.
Step-by-step explanation:
What is the surface area of this design?
Answer:
210
Step-by-step explanation:
Answer:
The answer is 197
Step-by-step explanation:
I saw this on another question so I hope you trust that this is the right answer
Many places in Louisiana have a 10% sales tax. Talal buys a coat for $45 and has a 10% coupon that he uses. After that, he pays
the 10% sales tax. Calculate how much Talal pays for his coat after discount and tax.
Answer: $44.55
Step-by-step explanation:
$45 times the 10% sales tax equals $49.50
$49.50 minus the 10% discount equals $44.55
3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12 6 36 (b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work.
Answer:
Wait what
Step-by-step explanation:
45 people in a certain company can work together to finish a project in 15 days. For a project of the same workload, the
company decided to use 15 people. Assume all people have the same level of productivity.
In how many days can this project be completed?
SELECT ONLY ONE
5 days
10 days
22.5 days
45 days
Given:
45 people will accomplish the given task in 15 days.
To find:
Days taken by 15 people to complete the same task.
Solution:
Since, 45 people of a company can finish a work in 15 days
Therefore, 1 person can accomplish the task in days = [tex]15\times45[/tex]
= [tex]675[/tex] days
15 people will accomplish the same task in number of days = [tex]\frac{675}{15}[/tex]
= [tex]45[/tex]
Therefore, number of days taken by 15 people to accomplish the same task will be 45 days.
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WILL GIVE BRAINLIEST (URGENT)
Answer:
C
Step-by-step explanation:
Answer:
C 1/5 is the coorect answer
Step-by-step explanation:
Ethan rolls the number cube and then spins the arrow on the
spinner. A list of all the possible outcomes is shown.
Answer:
B 1/2
Step-by-step explanation:
This is right
The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3. Option C is correct.
What is probability?Probability is synonymous with possibility. It is concerned with the occurrence of a random event. Probability can only have a value between 0 and 1.
Ethan cranks the arrow on the spinner after rolling the number cube. There is a list of all conceivable outcomes.
{(1, 1), (1, 2), (1,3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4,1),(4,2), (4,3), (5, 1), (5,2), (5,3), (6, 1), (6,2), (6,3)}
The no of sets having the sum of the number is odd=9
The no of sets having the product of the number is 6=3
The total number including the two conditions=3+9=12
Probability is found as;
P=12/18
P=2/3
The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3.
Hence, option C is correct.
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given the measures of an angle below give the measure of complement and supplement
Answer: Where's the picture of the angle?
Step-by-step explanation:??
If f(x) = 2x + 5 then f(?) = 5
0
5
3
8
Answer:
0.
Step-by-step explanation:
When you multiply 2*0, it will be equal to 0. 0+5= 5.
what is the the measure of a 105° angle in radians
help please will give brainest.
Hi, you didn't add any picture or attached the info
What is the percentage?
Jeremiah has a bag with 5 red marbles 8 yellow marbles 4 blue marbles and 3 green marbles what is the probability as a percent that he will not pick a green marble
Answer:
85%
Step-by-step explanation:
P(not green) = 17/20 which equals 85%
A rectangular prism has a length of 112feet, a width of 212feet, and aheight of 8 inches. What is the volume of the prism in cubic inches?
pls hurry :)
Answer:
27,353,088 cubic inches
Step-by-step explanation:
How to find the volume of a rectangular prism
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Solve
In this case, The volume of a rectangular prism with a length of 112feet,
width of 212 feet, and height of 8 inches:
But in this case, we need to convert both the length and width to inches.
If 1ft = 12in
Then, 112ft = 1344in (Multiply 112 by 12)
Also, 212ft = 2544 (Multiply 212 by 12)
So, the volume = 1344 x 2544 x 8
Calculated out this gives a volume of 27,353,088 cubic inches.
whats
455
x 6
-----------
Answer:
2730
Step-by-step explanation:
Answer:
2730................:)))))))))))))
(Middle school) I’ll give brainliest
Answer:
150.72 units^3
Step-by-step explanation:
Formula: πr2h
3.14 x 4^2 x 3 = 150.72 units^3
you pick a card at random 4,5,6,7 What is p(5)
Answer:
1/4
Step-by-step explanation:
probability of picking 5 is 1/4
the number of 5 in the set is 1 and the total is 4
hence 1/4
Answer:
1/4 or 25% chance
Step-by-step explanation:
There are 4 cards in total
There is only 1 5 card.
To find the probability of getting 5:
1/4 = 25%
The sampling distribution for the ANOVA test is
a. the Z distribution.
b. the t distribution.
c. the F distribution.
d. None of the answer choices
Answer:
The F distribution
The product of a number and 3 increased by 9 is less than -42
TRANSLATE
Answer:
3x+9 < - 42
Step-by-step explanation:
When y=x^2 is transformed to y=(x+1)^2-3 , the corresponding graph is shifted a) 1unit left and 3 units down. c) 1 unit left and 3 units up. b) 1 unit right and 3 units down. d) 1 unit right and 3 units up.
which expression represents the area of the trapezoid below? Use the given formula: A= 1/2 (b1 + b2)
Answer:
I think its 5x²-27x+10
Step-by-step explanation:
Area of trapezium:
a+b/2× h
So substitute into the formula:
4x - 1 + 6x - 3 /2 × (x - 5)
1. 4x - 1 + 6x - 3 (collect all like terms)
4x + 6x + -1 -3 = 10x - 4
2. 10x - 4 / 2
= 5x - 2
3. 5x - 2 × x - 5
Use FOIL:
5x ² - 25x - 2x + 10
= 5x ² - 27x +10
What is the approximate average rate of change of the function f(x) = -20(1.3)x^
over the interval 1.2 _< x _< 2.7?
Answer:
c
Step-by-step explanation:
Dos puntos en matematicas
Answer:
eso no es una pregunta
Step-by-step explanation:
How many kilograms are equal to
54,308 grams?
Answer:
54.308 kilograms
Step-by-step explanation:
Pls Help! Put a proper answer! If you put a link I will report you!
When clearing the fractions in the equation below, what is the Least Common Denominator?
Step-by-step explanation:
X - ⅙X = - ½ - ⅓ ==> ⅚X = - ⅚ ==> X = -1
Please hurry!! 30 points!! Whats the answer??
Answer:
2
Step-by-step explanation:
Answer:
11.25 or 11 1/4
Step-by-step explanation:
seeing as how tiled in this sense essentially means 'cut' we have to look at the following rectangle as 2 separate rectangles instead of one whole
so we'll let the biggest rectangle be rectangle one and the smallest rectangle two-
now we need the dimensions of each one-
rectangle one
l=5 w=2
rectangle two
l=5 w=1/4
now let us set up the equation and solve-
a=lw
rectangle one
a=5*2=10
rectangle two
a=5*1/4=1.25
and the last step is to add together the areas of both rectangles
10+1.25=11.25
and since you need your answer as a mixed number the answer is 11 1/4
(to do this you just put 11.25 over 100 and then simplify)
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Solve the following inequality: 10 - 2x ≥ 12.
Answer:
x<(with a line underneath)-1
Step-by-step explanation:
10-2x>(with a line underneath)12
-10 -10
-2x>(with a line underneath)2
/-2 /-2
x<(with a line underneath)-1
3/4(5x - 3) + 8 = 17.
Answer:
x=3
Step-by-step explanation:
Allison designs fancy boxes to fill with chocolates. The boxes are in the shape of a right square pyramid as shown, where 8y represents the
length of one side of the base of the pyramid, and 5y represents the height of one triangular face of the pyramid.
8y
The large size box must be designed to have a volume of 1,000 cubic centimeters,
Create an equation that can be used to calculate the length of the base and height of the triangular face of the box. Enter your equation in
the first response box.
The requreid equation that can be used to calculate the length of the base and height of the triangular face of the box is:
8y ≈ 8.4 cm
5y ≈ 5.8 cm
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The formula for the volume of a square pyramid is:
V = (1/3) * base area * height
In this case, the base of the pyramid is a square with a side length of 8y, so the base area is:
base area = (8y)² = 64y²
The height of each triangular face is given as 5y, so the total height of the pyramid is 2 * 5y = 10y.
Substituting these values into the formula for volume, we get:
1000 = (1/3) * 64y² * 10y
y ≈ 1.16
Therefore, the length of the base of the pyramid is:
8y ≈ 8.4
And the height of each triangular face is:
5y ≈ 5.8 cm
So the equation that can be used to calculate the length of the base and height of the triangular face of the box is:
8y ≈ 8.4 cm
5y ≈ 5.8 cm
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What is the radian measure of an angle of 75º?
