ABC is a right-angled triangle.
Calculate the length of BC.
Give your answer correct to 1 decimal place.
Answers
Answer:
14.5
Step-by-step explanation:
The pythagoreom theorum shows a^2 + b^2 = c^2. Therefore, c^2 - a^2 = b^2
256 - 44.89 = 211.11
The square root of 211.11 rounded to the first decimal place is 14.5
The length of BC is 14.5 cm
What is Pythagoras theorem?The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Given
AB = 6.7 cm
AC = 16 cm
According to the Pythagoras theorem of triangles
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]AB^{2} +BC^{2} =AC^{2}[/tex]
[tex]BC^{2} =AC^{2} -AB^{2}[/tex]
[tex]BC ^{2} =16^{2}-(6.7)^{2}[/tex]
[tex]BC = \sqrt{16^{2} -(6.7)^{2} }[/tex]
BC = 14.5 cm
Hence, the length of BC is 14.5 cm
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Related Questions
Josie bought a soda and 2 candy bars. The soda costs $1.10. Her total bill was $2.40. How much was each candy bar
Answers
Answer:
$0.65
Step-by-step explanation:
2.40-1.10=1.3
1.3/2=.65
Which statement below is an example of the
Associative Property of Addition?
A. 7+(3+5)= 7+(5+3)
B.9+(11 + 6) = (9 +11) + 6
C. 3(6+5) = 3.6+3.5
D. 12(8 + 4) = 12(8) + 12(4)
Answers
Answer:
B
Step-by-step explanation:
Let say, a=9,b=11,c=6
Then associative properties says that every element is related to each other, here "b" associates a &c.
Therefore, a is related to b+c
c is related to a+b
pls help me with this multiple choice !
Answers
Answer:
Step-by-step explanation:
Cdd
Answer:
B
Step-by-step explanation:
[tex] \tan(60) = \frac{n}{46} \\ n =46 \sqrt{3} \\ \cos(60) = \frac{46}{m} \\ m = 92[/tex]
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
10
14 cm
Answers
Cylinder's volume = 1330.5 cm^3
Step-by-step explanation:
radius, r = diameter, d / 2
= 11/2
= 5.5 cm
Volume = π r^2 h
= π × 5.5^2 × 14
= 423.5π
= 1330.5 cm^3
Explanation:
V=pi x r2 x h
V=pi x 5.5squared x 14
V=1330.46
V= 1330.5cm3
Z+br=p if you are solving for b
Answers
Answer: b=p/r-z/r
Step-by-step explanation:
make sure the p/r is a fraction and so is z/r. p goes on top r goes on bottom, minus z over r
Pleaseee helpp answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!!!! P equals what ??????
Answers
Answer:
P = 2t + 2u + 2v + 4w
Step-by-step explanation:
[tex]P =t + t + u + u + v + v \\ + w + w + w + w \\ \\ P = 2t + 2u + 2v + 4w \\ [/tex]
4 times 12 divided by 16
Answers
Answer:
3
Step-by-step explanation:
4x12=48
48/16=3
=3
Answer:
the awnser is 60
Step-by-step explanation:
Please help this is the last problem I need
Answers
Answer:
[tex]sin 54 = \frac{x}{14}[/tex]
Step-by-step explanation:
[tex]sine = \frac{opposite}{hypotenuse}[/tex]
Side z is the adjacent, since it is next to the angle you are solving for.
Side x is the opposite, since it is opposite the angle you are solving for.
The side measuring 14 is the hypotenuse, since it is across from the right angle.
[tex]sin 54 = \frac{x}{14}[/tex]
The difference of two positive integers is 5 and the sum of their squares is 433. Find their integers.
Answers
Answer:
12, 17
Step-by-step explanation:
Let the two positive integers be x and (5 + x).
According to the given description:
[tex] {x}^{2} + {(x + 5)}^{2} = 433 \\ {x}^{2} + {x}^{2} + 10x + 25 = 433 \\ \\ 2 {x}^{2} + 10x + 25 - 433 = 0 \\ \\ 2 {x}^{2} + 10x - 408 = 0 \\ \\ 2( {x}^{2} + 5x - 204) = 0 \\ \\ {x}^{2} + 5x - 204 = 0 \\ \\ {x}^{2} + 17x - 12x - 204 = 0 \\ \\ x(x + 17) - 12(x + 17) = 0 \\ \\ (x + 17)(x - 12) = 0 \\ \\ x + 17 = 0 \: or \: x - 12 = 0 \\ \\ x = - 17 \: or \: x = 12 \\ \\ \because \: x \: is \: a \: + ve \: integer \\ \\ \implies x \neq - 17 \\ \\ \therefore \: x = 12 \\ \\ 5 + x = 5 + 12 = 17 \\ [/tex]
Thus, the two positive integers are 12 and 17.
Answer:
12 and 17
Step-by-step explanation:
17 - 12 = 5, and 17^2 (289) + 12^2 (144) = 433
Hope this helps :D
If you wanted to figure
out how much air is in
a basketball, would
you use plane
geometry or solid
geometry?
Answers
Answer:
solid gemontery
Step-by-step explanation: Plane geomentry is flat and soild is balls sqaures and other types of shapes.
Required
1
20 cm
R
What is the area of the shaded region? * 15
(100 Points)
20 cm
6 cm
w
8 cm
Enter your answer
Answers
Answer:
I think it is 116
Step-by-step explanation:
400 - 120 - 140 - 24 = 116
Find the equation of the line specified.
The slope is -4, and it passes through (5,8).
a. y = 4x + 8
b. y = -4x + 28
c. y = -4x - 12
d. y = -8x + 28
Answers
Answer:
B) y=-4x+28
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-4(x-5)
y=-4x+20+8
y=-4x+28
The volume of a cube is 413cm3.
Work out the length of its side rounded to 1 DP.
Answers
Answer:
Write the full question please
The length of the side of the cube, rounded to 1 decimal place, is approximately 7.6 cm .
To find the length of the side of a cube given its volume, we need to find the cube root of the volume .
Given that the volume of the cube is 413 cm³, we can calculate the length of its side as follows:
side length = ∛( volume )
side length = ∛( 413 cm³)
side length ≈ 7.6 cm (rounded to 1 decimal place)
Therefore, the length of the side of the cube, rounded to 1 decimal place, is approximately 7.6 cm .
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Min swims 4 7/10 laps on Tuesday and 3 5/10 laps on Wednesday . Jessica swims 5 3/10 laps on Tuesday and 4 2/10 laps on Wednesday how many laps did Jessica swim then Min
Answers
Jess: 5.3+ 4.2 = 9.5
9.5-8.2 = 1.3
Jessica swam 1.3 (1 3/10) laps more than Min.
The absolute value of 7
−12
is
Answers
Answer:
7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Do you mean 7-12, or 7/(-12)?
7-12 = -5, so the absolute value of 7-12 is 5.
The absolute value of 7/(-12) is 7/12.
which fraction is equivalent to -3/2?
3/-2
-(3/-2)
-3/-2
-(-3/2)
Answers
I need help with math trigonometry and law of sines
Answers
Answer:
Step-by-step explanation:
sinx/6=sin90/19
sinx=6sin90/19
x=arcsin(6sin90/19
x=18 degrees
Which expression is equivalent to 2.2m2 – 3.5(4m – 1.4) + 3.6(8m2 – 4.5m)?
Answers
Answer:
31m2−30.2m+4.9
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is
31m² - 30.2m - 4.9
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m)
Remove the parenthesis.
2.2m² - 3.5 x 4m - 3.5 x 1.4 + 3.6 x 8m² - 3.6 x 4.5m
2.2m² - 14m - 4.9 + 28.8m² - 16.2m
Combine the like terms.
31m² - 30.2m - 4.9
Thus,
The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is
31m² - 30.2m - 4.9
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I NEED HELP ASAP!!!!!
Solve the equation and show your work.
Here's the problem: 4x + 3x - 3(4x - 8) = 14
Step 1.) Eliminate parentheses by distributing the -3.
Step 2.) Collect any like terms on the left side of the equation.
Step 3.) Subtract 24 from both sides of the equation.
Step 4.) Divide both sides of the equation by -5.
Answers
Answer:
Step-by-step explanation:
x=2
4+3 (x+2) simplify the expression
Answers
Answer:
4+3x+6
10+3x
this is the answer
Answer: 3x+10
Step-by-step explanation:
Distribute:
=4+(3)(x)+(3)(2)
=4+3x+6
Combine Like Terms:
=4+3x+6
=(3x)+(4+6)
=3x+10
Susan's math teacher assigned x homework problems on Monday. On Tuesday, she assigned 15 more problems. Over the two
days, a total of 24 homework problems were assigned. Which equation could be used to find x, the number of problems assigned on
Monday?
A. 15x=24
B.24+x=15
C. x+15=24
D.x-15=24
Answers
Answer:
C
Step-by-step explanation:
We know that there were 24 questions in the 2 days
And we know that tuesday had 15 more question.
That means Monday had "x questions" + the 15 on tuesday to get 24 in total.
Bro I am so bad at math and I need help ;-;
Answers
Answer:
1. M > -7
2. y < -1
3. m < -12
4. k > -2
5. c > -9
Please let me know if you need me to explain these answers! :)
What is the value of y when x = 4?
Answers
Answer:
I think there is no y-intercept bc all they give you is x ( don't even have slope either) but I could be wrong...sorry
Q8.
a. xy = 24, since (3)(8) = 24
b. 4y = 24
Y = 24 ÷ 4
Y = 6
NB: I think I figured it out ^-^ I hope this helps!
Need help
Value of n2(m+r)if m=3,n=2,r=4
Answers
At Keller's Bike Rentals, it costs $34 to rent a bike for 9 hours. How many dollars does it cost per hour of bike use?
Answers
Answer: $3.77
Step-by-step explanation:
Simplify.
56bc
64cd
I need ASAP
Answers
Answer:
8c(7b + 8d)
Step-by-step explanation:
Supposing that you are ADDING these terms, you have 56bc + 64cd. This can be factored as follows: 56bc + 64cd = 8c(7b + 8d)
What does 2.8- 4.4n- 2n + 7 equal?
Answers
Answer:
2.8- 4.4n- 2n + 7 = -6.4n + 9.8
Step-by-step explanation:
combined like term:
-4.4n - 2n = -6.4n
2.8 + 7 = 9.8
so all you do is combined together and got -6.4n + 9.8
i believe it equals 9.8-6.4n
sorry, im not very good at explaining how i solved it!! D:
but i hope this helped you out :)
please help this is due today
Answers
please help asap((((:
Answers
Answer:
Angle 3 is 95, angle 1 is 30.
Step-by-step explanation:
I already answered a lot of your other angle questions so I will make this one QUICK...
Angle 4 is 85, so to find angle 3, simply subtract: 180 - 85 = 95
So angle 3 is 95
We know two out of the three angles in a triangle and they are: 95 and 55, so 95 + 55 = 150. The sum of the angles in a triangle is 180 so we have: 180-150 = 30, which is the answer for angle 1.
So angle 1 is 30
Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answers
Answer: 40%
Step-by-step explanation:
A p e x
Answer:
40% A.
Step-by-step explanation: