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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How did the North or South benefit from this difference
Answer:
Can i get an image of thw question please?
Step-by-step explanation:
North
The northern soil and climate favored smaller farmsteads rather than large plantations. Industry flourished, fueled by more abundant natural resources than in the South, and many large cities were established (New York was the largest city with more than 800,000 inhabitants). By 1860, one quarter of all Northerners lived in urban areas. Between 1800 and 1860, the percentage of laborers working in agricultural pursuits dropped drastically from 70% to only 40%. Slavery had died out, replaced in the cities and factories by immigrant labor from Europe. In fact an overwhelming majority of immigrants, seven out of every eight, settled in the North rather than the South. Transportation was easier in the North, which boasted more than two-thirds of the railroad tracks in the country and the economy was on an upswing.
Far more Northerners than Southerners belonged to the Whig/Republican political party and they were far more likely to have careers in business, medicine, or education. In fact, an engineer was six times as likely to be from the North as from the South. Northern children were slightly more prone to attend school than Southern children.
South
The fertile soil and warm climate of the South made it ideal for large-scale farms and crops like tobacco and cotton. Because agriculture was so profitable few Southerners saw a need for industrial development. Eighty percent of the labor force worked on the farm. Although two-thirds of Southerners owned no slaves at all, by 1860 the South's "peculiar institution" was inextricably tied to the region's economy and culture. In fact, there were almost as many blacks - but slaves and free - in the South as there were whites (4 million blacks and 5.5 million whites). There were no large cities aside from New Orleans, and most of the ones that did exist were located on rivers and coasts as shipping ports to send agricultural produce to European or Northern destinations.
Only one-tenth of Southerners lived in urban areas and transportation between cities was difficult, except by water. Only 35% of the nation's train tracks were located in the South. Also, in 1860, the South's agricultural economy was beginning to stall while the Northern manufacturers were experiencing a boom.
A slightly smaller percentage of white Southerners were literate than their Northern counterparts, and Southern children tended to spend less time in school. As adults, Southern men tended to belong to the Democratic political party and gravitated toward military careers as well as agriculture.
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answer:
A.
Step-by-step explanation:
it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.
A savings account starts with $231 25. After 8 years of continuous compounding at an
interest rate the account has $1850.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
Enter your answer in the box
Answer:
87.5%
Step-by-step explanation:
Took the k12 math test
A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate of 87.5% the account has $1850.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest = P(1+r/n)^rt
A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate the account has $1850.
Compound Interest = P(1+r/n)^rt
[tex]\rm 1850 = 231 25 (1 + r/12)^{96}[/tex]
[tex]\rm 1850 = 231 25 (1 + r/12)^{96}\\\rm 1850 /231 25 = (1 + r/12)^{96}[/tex]
r = 87.5%
Thus, the interest rate percentage is 0.87 rate per year.
Learn more about interest;
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I need this equation in standard form
Answer:
-2x + y - 1 = 0
Step-by-step explanation:
Standard form is Ax + By + C = 0
2x + y = -19 indeedddddddddddddddddddddddddddddd
The rectangular prism below has a width of 5cm a length of 7cm and a height of 4 cm what is the surface area of this rectangular prism
Answer:
Step-by-step explanation:
multiply length x width times hight
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points....
Answer:
D
Step-by-step explanation:
1/12 X 110 = .0833333333 x 110 = 9.16
D. 9
Step-by-step explanation:
110÷12 = 9.1 however just round down to 9
since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it
Which is NOT true?
+
A.
5 + 14 = 20.- 1
B.
9 + 5 = 7 + 7
15 = 4 + 11
D.
15 - 9 = 9-4
What’s the answer
Answer:
D. 15 - 9 = 9-4
Step-by-step explanation:
Thank You :3
Answer:
D
Step-by-step explanation:
The expression 5x^2 + 25x + 70 can be used to estimate the height, in
meters, of a toy rocket x seconds after it is launched from a platform.
How many seconds does it take the rocket to hit the ground?
Answer:
Hence x is 7 seconds
Step-by-step explanation:
hope this helps
Explain how you can decide whether the equation represents the graph. What can you do to the equation to make it a better fit for the graph? What equation would fit better?
Melvin wrote the equation 푦 = (푥 + 3)(푥 + 1)(푥 − 2) 2 to represent the graph at right.
Answer:
O
Step-by-step explanation:
PLEASE SOLVE THIS! I will give you brainliest.
Answer:
657in squared
Step-by-step explanation:
What is area?
The space inside a circle.
The distance across a circle.
The distance around a circle.
Answer:
The space inside a circle
Step-by-step explanation:
Please help me immediately... i need help
Tory sold 50 balloons for School Spirit Day. He raised $37.50. He wrote this equation to show how much he charged for each balloon.
= 37.50
What mistake did Tory make in writing his equation? What is a correct equation and its solution?
A. He divided b by 50 instead of by 37.50. A correct equation is = 50. Its solution is $1,875.
B. He divided b by 50 instead of dividing 50 by b. A correct equation is = 37.50. Its solution is $1.33.
C. He divided b by 50 instead of multiplying b by 50.A correct equation is 50b = 37.50. Its solution is $0.75.
D. He divided b by 50 instead of setting up a proportion. A correct equation is = . Its solution is $1,875.
Answer:
Answer is C $0.75
Step-by-step explanation:
50b = 37.50
divide both sides by 50
50 cancels out b is by itself.
37.50 divide by 50= 0.75
The mistake Tory made is he divided b by 50 instead of multiplying b by 50. A correct equation is 50b = 37.50. Its solution is $0.75.
What does division mean?Division is a mathematical operation that involves the grouping of a number into equal parts using another number. The sign used to denote division is ÷.
The equation that represents the total amount raised: total balloons sold x cost of one balloon
b x 50 = 37.50
b = 37.50/ 5-
b = $0.75
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The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actual distance.
Answer: The actual distance is 6 km
Step-by-step explanation: If you do a conversion from 1 cm to 20 km in fraction form, you will have
[tex]\frac{1cm}{20km} = \frac{0.1cm}{km ?}[/tex]
So, if you solve for km, you will get 6 using cross multipulcation
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Step-by-step explanation:
So, Start with the formula
V= pi ×R² × H
V= pi × 9² × 2
V= pi × 81 × 2
V = 162 pi in³
Then ×2 = 342 in³
required volume =162π or 508.94or 509in³
Answer:
solution given:
radius (r)=9in
height(h)=2 in
we have
volume [V]=πr²h=π×9²×2=162π or 508.94in³
Will give brainliest if anyone helps me with this one.
TILES A box of colored tiles contains 4 red tiles, 3 orange tiles, and 2 blue tiles in random order. Tiles are selected at random from the box. The desired pattern is:
red, red, orange, blue, orange, red, blue, orange, red
If you selected a permutation of these tiles at random, what is the probability that they would be chosen in this sequence?
A.1/1260
B.1/630
C.1/315
D.1/2520
Answer:
Step-by-step explanation:
i believe the answer is a
Alguien que hable español??
on a separate sheet of paper, calculate each of the individual values indicated in the table. record those values in the table below(please answer ASAP)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The table is filled in below.
To compute the square of the length of a sloped side, you need to sum the squares of the rise and the run. For example, the square of the length of 'a' in triangle F is ...
a² = rise² + run² = 1² +2² = 1 +4 = 5
__
Additional comment
When computing the slopes of the various triangle sides, you need to pay attention to the sign of the "rise" for a positive "run."
For the distance purpose here, the rise and run are squared, so their signs are irrelevant. You can treat them all as positive numbers.
Last one, Estimate the perimeter and the area of the shaded figure
Show how u got it please.
Answer:
13 and a half
Step-by-step explanation:
I just counted the squares bro
Write 0.896146 to 2 significant figures.
Kevin wants to buy a cow but can't afford
the $36 it costs. Later in the year it is at an
affordable $9 and Kevin can buy it. What
percentage of a discount was on the cow?
Answer:
25%
Step-by-step explanation:
What is the effect on the graph of the function f(x) = [xl when f(x) is changed to f(x + 9)?
Plzz
Answer:
when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|
f(x) = |x+9|
if you set that equal to zero then X= -9
so shifting over to the left is the right choice
Step-by-step explanation:
The volume of a sphere depends on its radius, so the volume is a function of the radius. If this function is called V(r), use the formula below to compute V(4), the volume of a sphere with a radius of 4 units.
Answer:
the volume of a sphere with a radius of 4 units.
=4/3πr³=4/3×π×64 is your answer
What information does a supply schedule provide?
A. It shows supply for different products at different prices.
B. It shows the supply for a product at a single price point.
C. It shows the supply for a product at various prices.
Answer:
c
Step-by-step explanation:
Consider the right triangle shown. Which statements are correct?
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answer:
47.05
Step-by-step explanation:
12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#
I need a tutor please
Answer:
Ok I can help!
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
3 sin 0 = 3 cos 20
what is the solution set?
Answer:
Step-by-step explanation:
3 sinθ=3 cos 2θ
sin θ=cos 2θ
sinθ=1-2sin² θ
2sin²θ+sin θ-1=0
2sin²θ+2sinθ-sinθ-1=0
2sin θ(sin θ+1)-1(sin θ+1)=0
(sin θ+1)(2 sin θ-1)=0
sin θ=-1=-sin 90=sin (180+90)
θ=270
or sin θ=1/2=sin 30,sin (180-30)
θ=30,150
solution set is {30,150,270}
On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval
Answer:
Option c (I cannot........Florida) is the appropriate response.
Step-by-step explanation:
The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.
Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.The other three given alternatives aren't related to the question. Thus option c is the correct one.
HELP ASAP ILL GIVE BRAINLESS PLEASE HELP
Question 16 (Fill-In-The-Blank Worth 1 points)
(07.04 LC)
The solution to 15x = 30 is x=_- (Only input the number.)
Numerical Answers Expected!
Answer for Blank 1.
Answer:
X = 2
Step-by-step explanation:
15X = 30
so
X = 30/15
X = 2
Answer:
The correct answer is x=2, so enter a "2" in the box. Hope this helps!
SIMPLE QUESTION! Multiply 3x^2(5x^3)
Answer:
15x^5
Step-by-step explanation:
That's the answer I got im pretty sure it correct
