find the area of the triangle
Please help
need the correct answer
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Answers
Answer:
[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]
Step-by-step explanation:
we have a right angle triangle composited in a semi-circle we want to figure out the area of the triangle
in order to do so we need to figure out the adjacent side (height AB)
since the given triangle is a right angle triangle we can consider Pythagoras theorem given by
[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]
given that,a=21 and c=28
substitute:
[tex] \displaystyle {21}^{2} + {b}^{2} = {28}^{2} [/tex]
move left hand side expression to right hand side and change its sign:
[tex] \displaystyle {b}^{2} = {28}^{2} - {21}^{2} [/tex]
square root both sides:
[tex] \displaystyle {b}^{} = \sqrt{{28}^{2} - {21}^{2} }[/tex]
use algebraic indentity:
[tex] \rm \displaystyle {b}^{} = \sqrt{({28}^{} + 21) (28 - {21}^{})}[/tex]
simplify:
[tex] \rm \displaystyle {b}^{} = \sqrt{({49}) ( 7)}[/tex]
use redical property:
[tex] \rm \displaystyle {b}^{} = 7 \sqrt{ 7}[/tex]
now to figure out the area we can consider the following formula:
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]
remember that,h=AB=7√7 and b=BC=21 thus substitute:
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 21 \times 7 \sqrt{7} [/tex]
simplify multiplication:
[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]
hence,
the area of the triangle is 194 (approximately)
note: you can also use horon's formula but I like to keep things simple
Please find attached photograph for your answer.
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Answers
Answer:
Hello
Step-by-step explanation:
Nice to meet you. Welcome to Brainly where you can get points by answering different questions. You can also ask your own questions and it will be answered by thousands of Brainly users around the world. Enjoy!
Answer:
Welcome to Brainly. I hope you enjoy your stay.
neeeeeed helppp!!
[tex]\sqrt{10^1^0}[/tex]
Thanks!
Answers
Answer:
100000 is your answer
Step-by-step explanation:
Hope it helps...
Thanks for the points
Answer:
100000
Step-by-step explanation:
[tex]\sqrt{10^{10} }[/tex]
[tex]10^5[/tex]
[tex]100000[/tex]
---------------
Thanks, have a great day!!
please please helppp!!
Answers
Answer:
Step-by-step explanation:
Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.
Here's our basic equation:
cos31=x/17
or
17 * cos31=x
Put this into the calculator and you get around 15.6
Amelia randomly selects two cards, with replacement, from a normal deck of cards. Calculate the probability that: the first card is a 9 of Clubs and the second card is a 10 of Clubs.
Answers
Answer:
1 / 2704
Step-by-step explanation:
Number of cards in a deck = 52
9 of clubs in a deck = 1
10 of clubs in a deck = 1
Probability = required outcome / Total possible outcomes
P(9 of club) = 1 / 52
With replacement ;
Then ;
P(10 of club) = 1 / 52
Hence,
P(9 of club, then 10 of club) = 1/52 * 1/52 = 1 / 2704
In triangle ABC, if angle A measures 78° and angle B measures 63º, what is the measure of angle C?
Answers
Answer:
∠C=39°
Step-by-step explanation:
The interior angles of a triangle will always have a sum of 180°.
∠A+∠B+∠C=180°
78°+63°+∠C=180°
∠C=180°-78°-63°
∠C=39°
Answer:
39 degrees
Step-by-step explanation:
All triangles will add up to 180 degrees. So, you know that angle C added with angles A and B will equal 180. if you take 180, minus 78, minus 63, you get the answer 39.
7x + 6y = -1 ; -x + 2y = 3 with elimination
Answers
Answer:
x= -1, y=1
Step-by-step explanation:
First label the 2 equations.
7x +6y= -1 -----(1)
-x +2y= 3 -----(2)
Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.
(2) ×3:
-3x +6y= 9 -----(3)
Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.
(3) -(1):
-3x +6y -(7x +6y)= 9 -(-1)
Expand:
-3x +6y -7x -6y= 9 +1
-10x= 10
x= 10 ÷(-10)
x= -1
Substitute x= -1 into (2):
-(-1) +2y= 3
1 +2y= 3
2y= 3 -1
2y= 2
y= 2 ÷2
y= 1
------------------------------------------------------------
2nd method: eliminating the x term
(2) ×7:
-7x +14y= 21 -----(3)
Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.
(1) +(3):
7x +6y -7x +14y= -1 +21
20y= 20
y= 20 ÷20
y= 1
Substitute y= 1 into (2):
-x +2(1)= 3
-x +2= 3
-x= 3 -2
-x= 1
x= -1
Simplify 2/5 (40x – 75)
which one ?? help plsss
100x - 187.5
80x/5 - 150/5
80x - 150
16x-30
Answers
Answer:
16x-30
Step-by-step explanation:
distribute 2/5 by 40x and then 75
2/5(40x) - 2/5(75)
16x - 30
How many grams of carbohydrates do 2.5 servings of rice have
Answers
Answer:
45 g
Step-by-step explanation:
:Renita's Bike Ride
Renita is riding her bike to school. It takes her 5 minutes to
travel half of a mile.
Answers
Answer:
Okay well if you need to find mph she is going 10 mph
Step-by-step explanation:
1/2+1/2= 1 mile in 10 min, multiply both sides by 6 and you get 1 mile = 60min
Please help me find volume for this pyramid I'm having trouble.
Answers
Answer:
A. 850 cubic feet
Step-by-step explanation:
Have a good day :)
Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9
Answers
Answer:
Option E
Step-by-step explanation:
Explicit formula of a geometric sequence is,
[tex]T_n=a_1(r)^{n-1}[/tex]
Here, [tex]a_1=[/tex] First term
[tex]r=[/tex] common ratio
[tex]n=[/tex] number of terms
If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]
Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]
[tex]r=\frac{9}{18}[/tex]
[tex]r=\frac{1}{2}[/tex]
By substituting these values in the formula,
[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]
Therefore, Option E is the answer.
Please help. ill give extra points for free if answered.
Answers
Answer: B
Step-by-step explanation:
Answer:
the person is correct b
Step-by-step explanation:
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Answer:
lol get a life
Step-by-step explanation:
i need help on how to answer this if anyone knows how to please respond. Thank you!
Answers
Answer:
23.25 m^3
Step-by-step explanation:
First you must find the area of the base you find it like this:
A(area)=1/2(one half)3.1(base)2.5(height)
you get 3.875(this is the area of the base)
now you have to multiply the area of base times the area of height like this:
A(area)=3.875(area of base)6(height)=23.25
so the answer is 23.25m^3
Hope I'm right have a great day!
What is the circumference of the circle when there's a radius of 5
Answers
3 • 12 ÷ 2 • 3 ÷ 3
6
2
18
54
Answers
Answer:
18.
Step-by-step explanation:
3*12 = 36
36/2 = 18
18*3 = 54
54/3 = 18
Answer:
18
Step-by-step explanation:
3 x 12 is 36,
36 divided by 2 is 18,
18 x 3 is 54,
54 divided by 3 is 18
Please Help ASAP
Jorge has a swimming pool that is rectangular in shape. The length and width of the pool are 24 feet and 14 feet. He also knows that the pool has a consistent depth of 5 feet. He needs to add 4 drops of chlorine for every 50 cubic feet in his pool. How many drops of chlorine should Jorge use to chlorinate his pool properly?
Answers
Answer:
140 drops
Step-by-step explanation:
Length of the pool = 24 feet
Width of the pool = 14 feet
Depth of the pool = 5 feet
Volume of the pool = length × width × depth
= 24 ft * 14 ft * 5 ft
= 1,750 ft³
Volume of the pool = 1,750 ft³
He needs to add 4 drops of chlorine for every 50 cubic feet in his pool.
Number of 50 cubic feet in the volume of the pool = Volume of the pool / 50 ft³
= 1,750 ft³ / 50 ft³
= 35
Number of 50 cubic feet in the volume of the pool = 35
How many drops of chlorine should Jorge use to chlorinate his pool properly?
Number of drops of chlorine Jorge should use = number of drops per 50 ft³ × Number of 50 cubic feet in the volume of the pool
= 4 × 35
= 140 drops
Number of drops of chlorine Jorge should use = 140 drops
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Answers
Answer:
C. y = x + 2
Step-by-step explanation:
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A triangular prism has a height of 11 meters and a base with the following measurements. All dimensions are in meters.
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ty :)
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
hey! please help i’ll give brainliest
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b
Step-by-step explanation:
Explanation: It’s B
aeo
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Write the possible combinations like
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300*42
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400*23
then you chose what will give you 6800 as the answer
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distributive property
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Step-by-step explanation:
60+5x+5=180 (being angle of straight line)
5x+65=180
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x=23
what are the difference in finding the cirumference circle and finding the area of circle
Answers
Answer:
the circumference is the total distance round a circle but the are is a measure of a space or region inside the circle but circumference is around it
What is the fraction equivalent of 40% in simplest form? 2/5 4/10 40/100 4/100 pan
Answers
Answer:
2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
good luck you got this
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Answers
Answer:
πr + (4+6+6+8) = 2π+24=30.28
What is the value of x. Please help out. This is due today!
Answers
Answer:
70°
Step-by-step explanation:
In the context it says that Franklin St. is parallel to Washington St.
The 110° formed by Franklin St. and Mulberry St. is a supplementary angle to Angle x.
Supplementary angles are angles that add up to each other to make 180°
So lets subtract:
180 - 110 = 70°
Angle x = 70°
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