Answer:
The area of the triangle is 84.511 square units.
Step-by-step explanation:
First step, we need to calculate lengths of line segments AB, BC and AC by Pythagorean Theorem:
AB:
[tex]AB = \sqrt{(12-0)^{2}+(3-8)^{2}}[/tex]
[tex]AB = 13[/tex]
BC:
[tex]BC = \sqrt{(7-12)^{2}+(-9-3)^{2}}[/tex]
[tex]BC = 13[/tex]
AC:
[tex]AC = \sqrt{(7-0)^{2}+(-9-8)^{2}}[/tex]
[tex]AC \approx 18.385[/tex]
Now, we can determine the area of the triangle ([tex]A[/tex]) by Heron's formula:
[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)
[tex]s = \frac{AB+BC+AC}{2}[/tex] (2)
Where [tex]s[/tex] is the semiperimeter of the triangle.
If we know that [tex]AB = 13[/tex], [tex]BC = 13[/tex] and [tex]AC \approx 18.385[/tex], then the area of the triangle is:
[tex]s = 22.193[/tex]
[tex]A = 84.511[/tex]
The area of the triangle is 84.511 square units.
In the diagram shown below segments TU and QS perpendicularly bisect each other at point R. Which of
the theorems below would be used to show that AQRT = ASRU?
Answer:
SAS
Step-by-step explanation:
I had this question on my test
Which of the following are characteristics of the cubic parent function? Select all that apply .
Answer:
A C & D
Step-step explanation:
The temperature of a piece of metal was 32°C. It was then lowered into a glass of
hot water and the temperature of the piece of metal rose to 36°С. Find the
percentage increase in the temperature of the piece of metal.
Answer:
12.5%
Step-by-step explanation:
Given that,
Initial temperature of a piece of metal = 32°C
Final temperature of the piece of metal = 36°С
We need to find the percentage increase in the temperature of the piece of metal. The percentage increase in any value is given by the relation as follows :
[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{36-32}{32}\times 100\\\\=12.5\%[/tex]
So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.
I have no idea what to do help me solve this please and please provide an explanation.
Question: what is the value of x?
Answer:
x = 48 (in degrees, I assume)
Step-by-step explanation:
Note that the two horizontal lines have those extra arrowheads on them? The red ones? That notation means those lines are parallel to each other.
In geometry, we learn that when two parallel lines are crossed by a third line (called a 'transversal'), alternate interior angles are congruent.
The two angles with labeled quantities are alternate exterior angles. They are 'alternate' because they are on opposite sides of the transversal line, and 'exterior' because they are above and below the the two horizontal lines, not contained in the interior area between them.
Therefore, 2x + 2 = x + 50
-x - 2 = -x - 2
x = 48
A line i oining
the
center of
a circle
to
a point on
circler
called
Answer:
Radius.
Step-by-step explanation:
A line joining the center of a circle to a point on the circle is called a radius.
This ultimately implies that, it is the straight line from the center of a circle to any point on the edge of the circle. Also, radius is half of a diameter i.e diameter divided by the 2.
Generally, the radius is used for calculating the area and circumference of a circle.
Area of a circle = πr²
Circumference of a circle = 2πr
The S.I units for measuring radius is meters.
HELP PLEASE!!!! 50 POINTS!!!GIVING BRAINLIEST!!
1. Elena donates some money to charity whenever she earns money as a babysitter. The table shows how much money, d, she donates for different amounts of money, m, that she earns.
a. What percent of her income does Elena donate to charity?
b.Which quantity, m or d, would be the better choice for the dependent variable in an equation describing the relationship between m and d.
PLEASE HELP!!! THANK YOU!!❤️
(a). Elena donates 12% of her income.
(b). d (amount donated) will be a better choice for the dependent variable, as it is always dependent on the income of Elena.
What is a dependent variable?You can control or set the independent variable. It affects the dependent variable, which changes as a result. The input is unrelated to the result, which is the dependent variable.
As per the given data:
money donated from money earned is given in the table.
For percent of her income donated to charity:
Total money donated / Total money earned
= (4.44 + 1.80 + 3.12 + 3.60 + 2.16) / (37 + 15 + 26 + 30 + 18)
= (15.12)/(126)
= 0.12
∴ Elena donates 12% of her income.
Hence, Elena donates 12% of her income and d (amount donated) will be a better choice for the dependent variable as it is always dependent on the income of Elena.
To learn more on dependent variable, click:
brainly.com/question/1479694
#SPJ3
300
[tex]300 \div 0.5[/tex]
what is the answer
What is the value of C in the equation 12c - 53 = 91?
(-2, -4)
(1, -1)
(2, -2)
(4, -4)
Answer: 12
Step-by-step explanation:
C=12 because u do 91+53 =144 then 144/12=12
C=12
The area (in square inches) of a rectangle is given by the polynomial function A(x) = x^2+ 10x + 24. If the width of the rectangle is (x + 6) inches, what is the length
Answer:21
Step-by-step explanation:
a polygon has 10080° as the total interior angle how many sides has the polygon
The formula for the sum of the interior angles of a polygon is (n - 2) * 180. In this formula, N is the number of sides. So, to find the number of sides that a polygon with an interior angle measure of 10080 has, we'll set the formula equal to 10080.
10080 = (n - 2) * 180
Divide both sides by 180
56 = n - 2
Add 2 to both sides
n = 58
Hope this helps!! :)
Answer:
58 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is 10,080°
n = the number of sides
(2n - 4)90 = 10080
2n - 4 = 10080/90 = 112
2n = 116
n = 58.
Define the range of the following:
Answer:
{-2, 3, 4, 5}
General Formulas and Concepts:
Math
Number LineAlgebra I
Range is the set of y-values that are outputted by function f(x)Builder Set Notation {x}Step-by-step explanation:
According to our graph, our y-values are 3, 4, 5 and -2. Since they are all closed dots, they are inclusive in the range:
Remember to put it in number line order.
{-2, 3, 4, 5}
If you spend 7.5 hours a week studying for English and 6.5 studying for math what is the ratio of time spent in math to studying for English
Answer:
6.5:7.5, or 1.3:1.5
Step-by-step explanation:
Simply find the number of hours studied for math (6.5) and hours studied for English (7.5) and put it into ratio form (6.5:7.5). Then simplify to get 1.3:1.5. Watch out for the wording.
Answer:
1.3 : 1.5
Step-by-step explanation:
Math : English
6.5 : 7.5 = 1.3 : 1.5
help pls
solve the systems of equations x-y=9 and -9x- 3y = 39
Find the ratio created when AB is partitioned by C.
Write your ratio with a, : and do not include spaces.
Answer:
Step-by-step explanation:
From the picture attached,
Segment AB has been divided into four equal parts.
Let each part measures equal length = 1 unit
Point C is 2 units apart from both the points A and B.
Length of AC = Length of BC = 2 units
Therefore, point C will be the mid point of segment AB.
And ratio of AC and BC = 1:1
AC:BC = 1:1
Similarly, AC:AB = 2:4
= 1:2
And BC:AB = 2:4
= 1:2
A set of buttons sells for $2.75 and costs $0.55 to make. Twenty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to RMS. If 500 sets are sold, what is the amount of money that will go to the school? i will give brainlyest A
$195.00
B
$220.00
C
$275.00
D
$310.00
Answer: b
Step-by-step explanation: I am 95% sure
Practice
You bought shoes for $39 that were marked 20%
off. You have to pay
9% tax. What is the total for
the shoes?
Answer: $34
Step-by-step explanation:
39 x 0.2 = 7.80, the discount
39 - 7.80 = 31.20
31.20 x 0.09 = 2.80, the tax
31.20 + 2.80 = 34
Total cost for the shoes: $34
Answer:
24.99 dollars
Step-by-step explanation:
24 is 20 percent of 39
7
8. 74%,
0.68
10'
7
0.68,
to
74%
10?
b. 0.68, 74%,
10
74%. 0.68
10
7
74%, 0.68
10'
Hey guys can you please help me with this math problem?
Answer:
77777777
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
its a because it has a greater base value
Jack and Jill are 432 meters apart, but are walking towards each other. Joe walks at a pace of 2 meters per second, while Jill walks at a pace of 3 meters per second. After how many seconds will they meet up?
Answer:
86.4 seconds.
Step-by-step explanation:
Given that Jack and Jill are 432 meters apart, but are walking towards each other, and Joe walks at a pace of 2 meters per second, while Jill walks at a pace of 3 meters per second, to determine after how many seconds will they meet up, the following calculation must be performed:
432 / (3 + 2) = X
432/5 = X
86.4 = X
So, Jack and Jill will meet after 86.4 seconds.
Doug rents a kayak for 12 days the rental charges 18 per day what is the best estimate for the total cost of the kayak rental
Answer:
200
Step-by-step explanation:
I rounded both numbers and multiplayer them.
A color printer prints 10 pages in 4 minutes. How many minutes does it take per page?
Answer:
2/5 minute OR 24 seconds
Step-by-step explanation:
4/10 = 2/5 minute
Hope that helps!
Megan buys shorts and a tee shirt.
The tee shirt costs half as much as the shorts.
The total cost is $36.
How much do the shorts cost?
Answer:
18
Step-by-step explanation:
The answer is 18.
As half of 36 is 18
Answer:
The shorts cost is $18.
Hope it helps
The atomic mass of a chemical element is the number of protons + number of neutrons in each atom of that element—electrons are ignored. Examples The atomic mass of hydrogen (H) is 1 (1 proton) and that of helium (He) is 4 (2 protons + 2 neutrons).
The gram atomic mass of a chemical element is the atomic mass of that element in grams. Example The gram atomic mass of H is 1 gram and that for He is 4 grams.
Astounding Fact There are approximately 6 x 1023 atoms in the gram atomic mass of every known chemical element. Examples There are 6 x 1023 atoms in 1 gram of H and in 4 grams of He. Hence, there are 12 x 1023 atoms, or 1.2 x 1024 atoms, in 2 grams of H and in 8 grams of He.
Standard carbon is Carbon 12, abbreviated C-12. Its atomic number is 12 (6 protons and 6 neutrons) and its gram atomic mass is therefore 12 grams.
How many atoms are there in 96 grams of C-12? (Read the exponents carefully.)
(a) 1.2 x 1024 atoms (b) 12 x 1023 atoms (c) 4.8 x 1023 atoms
(d) 4.8 x 1024 atoms (e) 96 x 1024 atoms (f) none of the above
Answer:
Step-by-step explanation:
First the gram will use the chemical explanation then you will put 1h gram the atomic mass .Then add 6 x 1023
Done done
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Hi there!
[tex]\large\boxed{=7.5}}[/tex]
10 - 5c =
Solve by substituting in 0.5 for c:
10 - 5(0.5) =
Evaluate 5 · 0.5:
10 - 2.5 =
Solve:
10 - 2.5 = 7.5
Please help I’m completely stuck
Answer: 8x
Question 2:Answer: 12x - 3y
hope it helps.
I WILL GIVE BRAINLEIST PLS HELP
Answer:
the answer is $65
Step-by-step explanation:
Answer:
$70Step-by-step explanation:
ExplanationIf we reverse it we can break it down easier: We start at $935
15 dollars on every purchase, he sold 11 TVs. So we find the total amount of money, 15*11=165
935-165=770
770 is the amount left without the money he has earned so the total base.
770/11=70
Checking answerLet's rebuild it to test if it is correct...
$70 for each tv * 11 tv's = $770 or the base price of the tv's
$15 for all the warranties
$15*11=165
165+770=935
So the answer is 70$
Hopefully, this helped.
Have a great day.
WILL MARK BRAINLYEST AND 50 POINTS
Give a detailed explanation as to why you chose the answer you chose
please help me out with this
3) A grocery store has cereal on sale. If the original price is $4.50 and the sale
price is $3, what percent is the discount?
Step-by-step explanation:
original price = $4.50
sale price = $3
discount price = $4.50 - $3
= $1.50
discount = discount percent × original price ÷ 100
$1.50 = discount percent × $4.50 ÷ 100
discount percent = $1.50 × 100 ÷ $4.50
= 33.33%
--------------------------------FOLLOW MEI need to find the volume
Answer:
[tex]941 in^{3}[/tex]
Step-by-step explanation: