Answer:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Step-by-step explanation:
<A ≅ <E,
Side length AC ≅ Side length EF
Side length AB ≅ Side length ED,
Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.
Therefore, we would conclude that:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Find the length of the third side. If necessary, round to the nearest tenth.
12
=========================================================
Work Shown:
a = 9, b = 12 are the two legs of the right triangle
c = unknown is the hypotenuse
Apply the pythagorean theorem to find c
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
81 + 144 = c^2
225 = c^2
c^2 = 225
c = sqrt(225)
c = 15
Answer:
15
Step-by-step explanation:
Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.
pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.
12²+9²=225
Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.
√225 = 15
Can you please help me :) you are supposed to use a^2+ b^2 =c^2 format I will mark brainliest
13 is x
144+25=169
169 is 13 squared
how much is 1 hundred of R800
Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she get back if she paid with a $20.00 bill?
Answer:
Step-by-step explanation:
5.25
3.00
1.25
_____
$ 9.50
- 20.00
_______
$10.5
The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day. When the length is 10 meters and the width is 23 meters, then how fast is the AREA changing
Answer:
[tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Rectangle: A = lw
l is lengthw is widthCalculus
Derivatives
Derivative Notation
Implicit Differentiation
Differentiation with respect to time
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle l = 10 \ meters[/tex]
[tex]\displaystyle \frac{dl}{dt} = 4 \ m/day[/tex]
[tex]\displaystyle w = 23 \ meters[/tex]
[tex]\displaystyle \frac{dw}{dt} = 1 \ m/day[/tex]
Step 2: Differentiate
[Area of Rectangle] Product Rule: [tex]\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}[/tex]Step 3: Solve
[Rate] Substitute in variables [Derivative]: [tex]\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)[/tex][Rate] Multiply: [tex]\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day[/tex][Rate] Add: [tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
WILL GIVE BRAINLIEST!!
Find the area of a regular pentagon with a radius of 32 to the nearest integer.
Answer:
2435 units
Step-by-step explanation:
A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a heigh of 3 1/4 centimeters What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal
Answer:
Step-by-step explanation:
V=lbh=1 1/4×4×3 1/4
=5/4×4×13/4
=65/4
=16 1/4 cm³
=16.25 cm³
Volume of a rectangular prism can be found by multiplying all three dimensions of the prism together: V = lwh
Solve the equation. The symbol "^" mean "raised to the second power"
C^2=28.2+42.1
Answer:
Step-by-step explanation:
c^2=28.2 + 42.1
SOLVE FOR A
A=logc (703/20), c ≠ 1 and C > 0
SOLVE FOR C
{ c = - (700/20) 1/a, A ≠ 0 and Numberator (A) bmod 2 = 0 and denominatior (A)bmod 2=1 SOOOOOOO a ≠ 0
Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed o. Find each of the following for the given values ofr, w, and t r= 10 cm, 6 = radian per sec, t = 4 sec 6 radians (round to the nearest thousandths) a) What is the angle generated by P in time t? cm (round to the nearest thousandths) b) What is the distance traveled by P along the circle in time t? c) What is the linear speed of P? cm/sec (round to the nearest thousandths)
Need help please help me
Please help find the missing length
Answer:a²=b²+c² in a right angle triangle so answer is root 136
Step-by-step explanation:
I’m Sorry But here’s An Other One :’)
Answer:
32.34
Step-by-step explanation:
9.35 + 9.35 + 6.82 + 6.82=32.34
Your welcome.
The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.1242 + 0.32 +3.3
for 2010 through 2016. Use this model to predict the number of vinyl album sales in the country in the year 2020 where
(2 = 10) (1 point)
• The number of vinyl album sales in the country in the year 2020 will be 20.5 million
The number of vinyl album sales in the country in the year 2020 will be 18.3 million
The number of vinyl album sales in the country in the year 2020 will be 7.74 million
O The number of vinyl album sales in the country in the year 2020 will be 21.12 million
Answer:
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Step-by-step explanation:
Given - The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.12 x² + 0.3 x +3.3 for 2010 through 2016.
To find - Use this model to predict the number of vinyl album sales in the country in the year 2020 where x = 10
a) The number of vinyl album sales in the country in the year 2020 will be 20.5 million.
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
c) The number of vinyl album sales in the country in the year 2020 will be 7.74 million.
d) The number of vinyl album sales in the country in the year 2020 will be 21.12 million.
Proof -
Given that,
The equation be - y = 0.12 x² + 0.3 x +3.3
Now,
Put x = 10 in above equation we get
y = 0.12×10² + 0.3×10 +3.3
= 0.12×100 + 3 + 3.3
= 12 + 6.3 = 18.3
⇒y = 18.3
∴ we get
The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
So,
The correct option be - b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Help me pls & thanksss
Answer:
135 degrees.
Step-by-step explanation:
Assuming that it is a regular octagon, you can use the formula (n-2) (180) divided by n. n = sides. Therefore, (8-2) (180) divided by 8, which is 135.
Answer:
135 degrees
Step-by-step explanation:
(just took that test!!)
(Asher)
If one he side of a square note book measures 20cm what is the area of the front cover of the note book
Answer:
400 sq cm
Step-by-step explanation:
20cm x 20cm
A trigonometric identity derived from the Pythagorean theorem is called a ___ identity.
1) cosecant
2) cosine
3) Pythagorean
4) secant
5) cotangent
The answer is 3) Pythagorean.
A trigonometric identity derived from the Pythagorean theorem is called a Pythagorean identity.
How to complete the blank?Mathematically, the Pythagorean theorem states that
Hypotenuse^2 = Adjacent^2 + Opposite^2
Divide through by Hypotenuse^2
This gives
1 = cos^2(x) + sin^2(x)
Rewrite as:
cos^2(x) + sin^2(x) = 1
As a general rule, the above represents the basic Pythagorean identity.
Hence, the word that completes the blank is Pythagorean.
Read more about Pythagorean identity at:
https://brainly.com/question/1969941
#SPJ2
Help please!! I’ll give best answer brainliest!!
Answer:
D, The last one
Step-by-step explanation:
Name the two congruent triangles
Answer:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Step-by-step explanation:
The diagram given indicates the following:
<E ≅ <E (vertical angles)
AE ≅ DE
BE ≅ CE
Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.
Therefore:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Please...I really need help
Answer: it’s the first one
Step-by-step explanation:
9514 1404 393
Answer:
(d) g(x) = -f(x -3)
Step-by-step explanation:
Reflection over the x-axis multiplies function values by -1. Translation to the right 3 units replaces x with x-3. The transformed function is ...
g(x) = -f(x -3)
How are .4 and .04 different
Answer: .4 is in the tenths column and .04 is in the hundredths column and
.4 is 40% and .04 is 4% and .4 is 2/5 and .04 is 1/25 so .4 is larger then .04 and .4 is 2:5 and .04 is 1:25
Step-by-step explanation: plz mark me brainliest.
How to mark brainliest
___________________
Click on the crown on the bottom right of an answer if there is no crown reload the page
Answer:
Well .4 is bigger then .04. 0.4 is equal to 2/5 and 0.04 is equal to 1/25
Step-by-step explanation:
What fraction is equivalent to 8%
2/25
4/50
8/100
this are the smallest fractions equivalent to 8%
Answer:
8/100
Step-by-step explanation:
8% = 0.08 = 8/100
let me know if you need more of an explaination <33
Given the equitation 3x+6x=30. What is the slope and y intercept.
Answer:
slope-5/3-1 2/3
y-intercept=-2
Step-by-step explanation:
hope that helps if correct please mark as brainliest thank you
19NBoli
Can you help me on question six
Answer:
B
promise it's B trust me
The sum of four numbers is 540. One of the
numbers, x, is 50% more than the sum of the other
three numbers. What is the value of x?
Answer:
chale. necesita. 20 caracteres
Which is the better deal? $2.89 for 4 quarts or $4.39 for 6 quarts
Answer:
$4.39 for 6 quartz
Step-by-step explanation:
if you multiply 2.89 by 2 it's more then 4.39
Help pleaseeeeeeee thanks
Answer:
so the answer is 5
Step-by-step explanation:
the equation will be for this is
7x + 20 = 55
7x = 55-22
7x = 35
x = 35÷7
x=5
Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Scale factor: 4:1
10 in
6 in
b
8 in
Scale drawing
Object
A. Side a is 10 inches long, side bis 12 inches long, and side cis 14
inches long
B. Side a is 2 inches long, side bis 4 inches long, and side c is 6
inches long.
O
C. Side a is 24 inches long, side bis 32 inches long, and side cis 40
inches long.
d
D. Side a is 1.5 inches long, side bis 2 inches long, and side c is 2.5
inches long
Answer:
D for sure
Step-by-step explanation:
i dont know if you have time for this so i explain it in the comments if you need it
Answer:
the answer is D
Step-by-step explanation:
Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer does she need?
Answer:
16 oz
Step-by-step explanation:
the ratio is 3 oz of oj to 1 oz of seltzer.
I pretty much just divided 48 by 3.
I hope this is correct and I hope it helps you!
Find the area of the triangle created with the diagonal. Each side length measures 8 feet. Help ASAP please.
Find the slope and the y-intercept of the line. 2 y=- x+2 5
help please I need it now
Answer: Y = -x/2 + 12.5
Step-by-step explanation:
You wrote the equation strange so i don't really know if the end of the equation is a 25 or not