Answers
Step-by-step explanation:
plz mark the brainliest plzz
[tex]\huge\bold{Given :}[/tex]
Angle ABC = 4x°
Angle BAC = x°
Angle BCA = 60°
[tex]\huge\bold{To\:find :}[/tex]
The value of x.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x\:=\:24°}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°
➪ 4x + x + 60° = 180°
➪ 5x + 60° = 180°
➪ 5x = 180° - 60°
➪ 5x = 120°
➪ x = [tex]\frac{120°}{5}[/tex]
➪ x = 24°
Therefore, the value of x is 24°.
Now, the three angles of the triangle are
∠ ABC = 4x = 4 x 24° = 96°
∠ BAC = x = 24°
∠ BCA = 60°
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ ABC + ∠ BAC + ∠ BCA = 180°
✒ 96° + 24° + 60° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
(Note:- Kindly refer to the attached file.)
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Related Questions
Tommy and Erin are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. Tommy thinks that they can use a piece of plywood that is 4 feet long to cover the top of the frame.
A)Why is Tommy's reasoning incorrect? Explain.
B) How long does the piece of plywood have to be to cover the top of the frame of the skateboard ramp? Show your work.
C) Erin’s parents bought a 10 foot piece of plywood for her and tommy to use to cover the top of the frame. Draw and label a ramp they could create. Justify your work using the Pythagorean Theorem.
Please answer all parts I really need the answer to these questions.
Answers
Answer:
The answer is below
Step-by-step explanation:
The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.
Let the hypotenuse be b, length be a and height be c Hence:
b² = a² + c²
b² = 3² + 5²
b² = 9 + 25
b² = 34
b = 5.83 feet
B) The plywood needs to be 5.83 feet long
C) Since the top of the ramp is 10 feet, let us assume the height of the ramp to be 6 feet, hence, the length of the ramp a is:
10² = a² + 6²
100 = a² + 36
a² = 64
a = 8 feet
Answer:
C
Step-by-step explanation:
Measurement conversions please help
Answers
42.6 I believe because you would divide 128 by 3.
Mr.Shand had $50 in his wallet on Friday after school.That night,He spent $11.50 on a pizza $3.75 on ice cream.One his way home,He found $5 on the ground ,How much money does Mr.Shand have at the end of the night?
Answers
Answer:
39.75
Step-by-step explanation:
so first we do 50-11.50-3.75+5. to simplify it 55-15.25
if u do the math that equals 39.75
to double check 39.75+15.25=55
50.0 - 11.50 = 38.5
38.5 - 3.75 = 34.75
34.75 + 5. = 39 . 75
Which option please I need help ASAP reply ASAP
Answers
Answer:
The answer is probably c
Step-by-step explanation:
its deducted by the x axis
Answer:
B
Step-by-step explanation:
Pls help this is due soon!!!
Answers
Find the slant heigh of the pyramid
Answers
Answer:
16.0"
Step-by-step explanation:
ASSUME the pyramid is a square right pyramid.
height = 15"
base side length = 11"
(Following edited/corrected thanks to cwrw238)
Slant height
= sqrt(5.5²+15²) using Pythagoras theorem
= sqrt(255.25)
= 15.98"
Answer:
Slant height = 15.98 in to nearest hundredth.
Step-by-step explanation:
Use Pythagoras theorem.
The triangle we want has a height of 15 , base of 1/2*11 = 5.5 and we need the length of the hypotenuse.
h^2 = 5.5^2 + 15^2 = 255.25
h = 15.976.
Pls help this is due soon!!!!
Answers
Chemistry Girls = 26
Chemistry Boys = 31
Physics Boys = 47
Physics Total = 76
Total Boys = 103
What it is the surface area of a perfect square pyrimaid when the slant height is 1 and the base width is 3?
Answers
Answer:
15
Step-by-step explanation:
The base would be 3*3, as it's a square. There are 4 triangles, and the area of each triangle is 1*3/2=1.5. 1.5*4+9=15.
Find the perimeter & area of the following shape.Hint: Look to the opposite sides to figure out the missing sides.
Answers
Answer:
Perimeter=110mm
Area=370mm²
Step-by-step explanation:
In Attached pictures
please give me brainliest if it help you
1. What is the central measure found by adding all numbers in the data set and then dividing by the number of values
A. data
B. mean
C. median
D. mode
Answers
Answer:
mean will be find in that method
hence, correct option is B
What’s is the answer plzzzz help
eacg fruit basket has 5 apples and 3 pears . what is the ratio of the total number of fruits to the numbers of pears in each fruit basket ?
Answers
Answer:
The ratio is 5:3 because there are 5apples and 3 pears
circle with a center of (4,6) and a us of 10 units. which equation represents the circle
Answers
Explanation: Write the equation in standard form. Substitute h for x and k for y in the form of (h,k). Since the radius equals 10, square the radius and you should get 100. Put everything back together and you should get, (x-4)²+(y-6)²=100.
(x-4)²+(y-6)² =100 is the equation of the circle with a center of (4,6) and a radius of 10 units
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The standard equation of a circle is (x-h)²+(y-k)² =r²
In the equation (h, k) represents the center of the circle.
r is the radius of the circle.
From given that circle with a center of (4,6) and a radius of 10 units.
We need to find the equation of the circle.
Substitute h=4, k=6 and r=10
We get (x-4)²+(y-6)² =10²
Hence, (x-4)²+(y-6)² =100 is the equation of the circle with a center of (4,6) and a radius of 10 units.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ7
Help its due rn!!!!!!!!!! Please
Answers
Answer:
C po
Step-by-step explanation:
sana maka tulong po sayo
Write as an equation: When -2 is subtracted from w, the result is 49
Answers
Step-by-step explanation:
w-(-2)=49
or, w+2=49
or, w= 47
which is the required equation.
Answer:
[tex]{ \bf{w - ( - 2) = 49}} \\ \\ { \boxed{ \tt{w + 2 = 49}}}[/tex]
Please help I will award brainless to whoever helps please it’s urgent
Answers
Answer:
128 sq units :)
Step-by-step explanation:
hope this helps! have a great day :)
A particular medicine decays at a rate of 16% every 4 hours. If a person takes a 25 mg dose, answer
the following questions.
a. Write a function that represents the amount of medicine after h hours.
b. How much is left after 4 hours? 8 hours?
Answers
Answer:
25 x 0.84 ^ h = X
After 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.
Step-by-step explanation:
Given that a particular medicine decays at a rate of 16% every 4 hours, if a person takes a 25 mg dose, to write a function that represents the amount of medicine after h hours, and determine how much is left after 4 hours and 8 hours, the following calculations must be performed:
100 - 16 = 84
25 x 0.84 ^ h = X
25 x 0.84 ^ 4 = X
25 x 0.4978 = X
12.45 = X
25 x 0.84 ^ 8 = X
25 x 0.2478 = X
6.20 = X
Therefore, after 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.
Need help with this problem
Answers
Answer:
B =43.7
Step-by-step explanation:
take angle b as reference angle
using sin rule
sin B =opposite/hypotenuse
sin B =9/13
sin B =0.69
[tex]B =sin^{-1} (0.69)[/tex]
B =43.63
B =43.7
please help
8x + 6 = 34
solve for x
Answers
Answer: for the first one x>-6, for the second one x< or equal to 5
Step-by-step explanation:
The population of the African country of Madagascar in 2018 is about 26 million. The estimated population of Madagascar is given by the function P(t)=26(1.03)t , where t represents the time in years since 2018 and P(t) represents the population in millions.
part a. In 2020 , the population will be blank million
part b. What is the meaning of P(t)=50 ?
The population 50 years after 2018 is P(t) ,
The population 50 years after 2018 is cap p times t, ,
The population t years after 2018 is 50 million.
The population t years after 2018 is 50 million.
The population 50 years after 2018 is 50 million.
The population 50 years after 2018 is 50, million.
The population t years after 2018 is about 114 million.
Answers
Answer:
The current population of Madagascar is 28,354,778 as of Thursday, June 10, 2021, based on Worldometer elaboration of the latest United Nations data.
Madagascar 2020 population is estimated at 27,691,018 people at mid year according to UN data.
Madagascar population is equivalent to 0.36% of the total world population.
Madagascar ranks number 51 in the list of countries (and dependencies) by population.
The population density in Madagascar is 48 per Km2 (123 people per mi2).
The total land area is 581,795 Km2 (224,632 sq. miles)
38.5 % of the population is urban (10,670,252 people in 2020)
The median age in Madagascar is 19.6 years.
Step-by-step explanation: i dont know man
which one is greater 27.532 or 27.523
Answers
Answer: 27.532
Step-by-step explanation:
0.53>0.52
Answer:
27.532
27.532 is greater because .532 is greater than 523
Algebra evaluate each expression if a = -3 ,b= - 4 , and c = 5
what is 1. 5bc
Answers
A ball is dropped from a height of 5m. After each bounce it rises to 35% of its previous height. After how many bounces does the ball reach a Height of less than 50cm?
Answers
Answer:
After the third bounce the ball reaches a height of less than 50cm.
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:
[tex]A_n = A_0(r)^{n}[/tex]
In which [tex]A_0[/tex] is the first term and r is the common ratio.
A ball is dropped from a height of 5m.
This means that [tex]A_0 = 5[/tex]
After each bounce it rises to 35% of its previous height.
This means that [tex]r = 0.35[/tex]
Thus
[tex]A_n = A_0(r)^{n}[/tex]
[tex]A_n = 5(0.35)^{n}[/tex]
After how many bounces does the ball reach a Height of less than 50cm?
50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus
[tex]A_n = 5(0.35)^{n}[/tex]
[tex]0.5 = 5(0.35)^{n}[/tex]
[tex](0.35)^n = \frac{0.5}{5}[/tex]
[tex](0.35)^n = 0.1[/tex]
[tex]\log{(0.35)^n} = \log{0.1}[/tex]
[tex]n\log{0.35} = \log{0.1}[/tex]
[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]
[tex]n = 2.19[/tex]
Rounding up:
After the third bounce the ball reaches a height of less than 50cm.
calculate (2.8+1.36)÷(4-2.7)
Answers
The answer is 3.2
Hope this answer is right!
You want to invest in companies belonging to Gispa Group of
1
Companies, Inc. so you did some research and found out that companies belonging to this group has an average gain of
0.8
percent and standard deviation of
0.7
percent. Given that a positive percent (gain) means profit and a negative percent means a loss. If you choose
20
companies, what is the probability that the companies are gaining more than
1
percent?
Answers
Answer:
0.1007
Step-by-step explanation:
Given :
Average gain, μ = 0.8
Standard deviation, σ = 0.7
Number of companies, n = 20
Obtaining the standardized value ;
Zscore = (x - mean) / (σ/√n)
Zscore = (1 - 0.8) / (0.7/√20)
Zscore = (0.2 / 0.1565247)
Z = 1.27775
Using the Z probability calculator :
P(Z > 1.27775) = 0.10067
P(Z > 1.27775) = 0.1007 ( Z probability calculator)
Find the length of a diagonal of a square of side 17cm
Answers
Answer:
2*17²=length=578
apply Pythagoras theorem
What are the domain and the range of this function? (PLEASEEE HELP MEE!!))
Answers
Answer:
Unisciti prestu è tornerete à u megliu di LUCKY hè un mc da spada arte di fà u pudete vede a mo quantità enorme di tempu per esplorà novi modi di ur affari Outta
Please help
this is important (is a activity )
Answers
Answer:
y = 5
Step-by-step explanation:
This is a horizontal line. The value of y does not change
The equation is of the form y = constant
y = 5
Answer:
y = 5
Step-by-step explanation:
I have two marks more than you do and the sum of both our marks is equal to 14 what are our marks
Answers
your marks 9 my marks 5
Step-by-step explanation:
1/2 of 14 = 7
7 + 2 = 9
14 - 9 = 5
so your marks are 9 and mine are 5
Hope this helped ..
Please help quickly :D
Answers
Hope this help!!!
Have a nice day!!!
ASAP!!!!!
Ms. Rodrigo’s class plays soccer during gym every 12 days. Mr. Tate’s class plays soccer every 8 days. If both classes are playing soccer today, how many days will it be before they both are playing soccer on the same day again?
