Answer:
a. 16
Step-by-step explanation:
Consider these 3 values.
[tex] \sqrt{16} \\ \sqrt{27} \\ \sqrt{35} [/tex]
Factor 16,27 and 35.
[tex] \sqrt{4 \times 4} \\ \sqrt{3 \times 3 \times 3} \\ \sqrt{3 \times 3 \times 5} [/tex]
Pull out two same numbers out of the root.
[tex]4 \\ 3 \sqrt{3} \\ 3 \sqrt{5} [/tex]
Rational only when there are no square roots after simplify/evaluating.
Thus a. 16 is only rational here.
Help please and thank you!
Given that AB = 370 m and AC = 510 m, find
(i) the distance between B and C,
(ii) ACB,
(iii) the bearing of C from B,
(iv) the shortest distance from A to BC.
Answer:
(i) The distance between B and C is approximately 552.9 m
(ii) ∠ACB is approximately 40.49°
(iii) The bearing of C from B is approximately 184.49°
(iv) The shortest distance from A to BC is approximately 331.155 m
Step-by-step explanation:
The given parameters are;
The length of segment AB = 370 m
The length of segment AC = 510 m
The bearing of B from A = 68°
The bearing of C from A = 144°
(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;
∠BAC = 144° - 68° = 76°
∠BAC = 76°
Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
By substituting the known values, we get;
a² = 510² + 370² - 2 × 510 × 370 × cos(76°)
a² ≈ 397000 - 91301.3234 ≈ 305698.677
BC = a ≈ √(305,698.677) ≈ 552.9
The distance between B and C, BC ≈ 552.9 m
(ii) By sine rule, we have;
a/(sin(A) = b/(sin(B)) - c/(sin(C))
Therefore;
552.9/(sin (76°)) = 370/(sin(C))
sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321
C = arcsine(0.649321) ≈ 40.49°
∠C = ∠ACB ≈ 40.49°
(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°
The bearing of A from B = 360° - (180° - 68°) = 248°
Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°
(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m
4 divided by 57 please help
Answer:
0.07017
Step-by-step explanation:
A car is traveling at a steady speed. It travels 2 1/2 miles on 3 1/3 minutes. How will it travel in 43 minutes? 1 hour?
Answer:
32.25 miles in 43mins
45miles in an hour
Step-by-step explanation:
Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles
Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles
Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles
Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?
HELP ME PLEASE
DUE TODAY
Answer: The answer is 18 feet
Find the slope and the y-intercept of the graph of y - 2= 3/4 x
Answer:
more information need try maybe 4x-(x3)x(8-0) but im not sure
Step-by-step explanation:
Answer:
y = 3/4 x + 2
Step-by-step explanation:
Given the following probability distribution, find the mean.
х
P(x)
XP(x)
2
.23
4
41
5
.12
9
.24
EP) =
xP(x) = 1
Mean =
Answer:
interpret the question straight comments please
Step-by-step explanation:
what is the formula for finding missing angles of a triangle
Answer:
Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°
152=8(3a-2) justify each step
Step-by-step explanation:
152 = 8(3a - 2)
152 = 8 × 3a - 8 × 2
152 = 24a - 16
152 + 16 = 24a
168 = 24a
a = 168/24
a = 7
Answer:
-7
Step-by-step explanation:
152=8(3a-2)
8(3a-2)=152
8(3a-2)/8=(152){8)
3a-2=19
3a-2+2=19+2
3a=21
3a/3=21/3
a=-7
cost to store 155 mark up 30
Answer:
201.50Step-by-step explanation:
SP = CP + markup
155 + 30% =155*1.3 =201.50Cathleen ran a total of 16 miles. She ran exactly 2 2/3 miles each day. How many days did it take her to run 16 miles
Answer:
6 days
Step-by-step explanation:
Circle the "best buy."
4 for $1.50
35 cents each
6 for $2.00
Need help ASAP plz I have to finish but I’m stuck here
please help me with these questions
Answer:
9) u= -12
11) -18 over 2
Step-by-step explanation:
Hope this helps!!
Answer:
x would be -72 and 9 u would be -12
Step-by-step explanation:
-1/6 x -3/5 the answer has to be a fraction
The product of -1/6 x -3/5 = 1/10
The given expression is,
-1/6 x -3/5
In mathematics, a fraction is defined as a portion of the total. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and assess numbers and speed up calculations. The depiction of fractions appears easier without the use of decimal values.
Now proceed the product,
Multiply numerator with numerator and denominator with denominator,
Therefore,
-1/6 x -3/5 = -1x(-3)/6x5
= 3/30
= 1/10
Hence,
-1/6 x -3/5 = 1/10
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ6
Help? Show work!
(TV ) ⃗ bisects ∠STU,m∠STV=(1/4 x+8)°,
and m∠UTV=(x+2)°.Find m∠STU.
Answer:
m∠STU = 20 °
Step-by-step explanation:
Since the line bisects the angle, we have that the two bisected angles are equal
Thus, mathematically;
x + 2 = x/4 + 8
Multiply through by 4
4x + 8 = x + 32
4x-x = 32-8
3x = 24
x = 24/3
x = 8
So to find the value of the original angle, we input 8 into each of the bisected angles and add together
mathematically, that will be ;
10 + 10 = 20
The slope of the line through points (4, -2) and (-1, 5) is
Answer: The slope is -1.4
Step-by-step explanation:
m = y2 - y1 / x2 - x1
5 - (-2) / -1 - 4
5 + 2 / -1 - 4
7/-5 (Rise over run)
-1.4 (Slope)
Pleas help me with this F(x)=3x-x Find F(10)
Answer:
f(10) = 20
Step-by-step explanation:
Since the x is defined, you can plug it in, x=10.
Substitute the x with 10, f(10) = 3(10)-10.
Then, simply the equation, f(10) = 20.
Which number line represents the solutions to \X – 5| = 1?
Answer:
Second number line represents the [X-5]=1.
Step-by-step explanation:
Given : [X-5]=1 .
To find : Which number line represents the solutions to [X-5]=1.
Solution : We have given that [X-5]=1.
We can se the value x-5 is inside the modulus it may be positive or negative.
So, we will do it by both cases.
1) (x - 5) = 1
On adding by 5 both sides.
x = 1+5 = 6
x = 6.
2) if -(x-5) = 1
remove parenthesis
-x +5 = 1
On subtracting by 5 both side
-x = -4
On dividing by -1 both side
x = 4.
So , x = 4, 6.
Therefore , the second number line represents the [X-5]=1.
Solve for the unknown quantity in each proportion.
k over three equals three over nine
A. 1
B. 3
C. 9
D. 27
Answer:
D
Step-by-step explanation:
27÷3=9
need a quick answer please
Answer:
x=7
Step-by-step explanation:
(12x+1))+(5x-3)=117
conbine like terms
17x-2=117
+2 +2
17x=119
/17 /17
x=7
I NEED HELP ASAPPPP!!!!!!!!!!!!!!
In a class of 25 students, 17 have a brother and 12 have a sister. There are 10 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother?
Answer:
17/25
Step-by-step explanation:
Answer:
10/25
Step-by-step explanation:
Brian spends the same amount of money each morning. On Saturday he bought a large coffee for $1.25 and 2 doughnuts. On Sunday he brought a small coffee for $.50 and 5 doughnuts. Write and solve an equation to determine the cost of one doughnut.
Answer:
Cost of one doughnut is $0.25
Step-by-step explanation:
Let the rate of one doughnut = $x
On Saturday he bought a large coffee and 2 doughnuts.
Cost of one large coffee = $1.25
Cost of 2 doughnuts = $2x
Total cost = $(1.25 + 2x)
On Sunday, he bought a small coffee and 5 doughnuts.
Cost of one small coffee = $0.50
Cost of 5 doughnuts = $5x
Total cost = $(0.50 + 5x)
Since, Brian spent same amount of money each morning,
Total expenditure on Saturday morning = Total expenditure on Sunday morning
(1.25 + 2x) = (0.50 + 5x)
1.25 - 0.50 = 5x - 2x
0.75 = 3x
x = $0.25
Therefore, cost of one doughnut is $0.25
PLEASE HELP IN ATTACHED IMAGE
Answer:
C.
Step-by-step explanation:
The list shows numbers in order from least to greatest?
Answer:
the answer is option c : 0 zero
Answer:
1.2
Step-by-step explanation:
Factorise x² - 9x + 20
Step-by-step explanation:
Given
x² - 9x + 20
= x² - ( 4 + 5) x + 20
= x² - 4x - 5x + 20
= x ( x - 4) - 5 ( x - 4)
= (x - 4)(x - 5)
Hope it will help you :)
Answer:
x^2 -9x+20
(x-4)(x-5)Step-by-step explanation:
........
⚠️PLZ HELP⚠️
Triangle ABC is similar to
triangle FGH. What is the
value of x in centimeters?
happy new year ✨ ☺ ✨ ☺
Answer:
happy new year
Step-by-step explanation:
Answer:
Negative association
Step-by-step explanation:
As you can see on table y the numbers are going down.
And I am not sure if you understand me but I can't explain very well sorry.
Hope this helped and Goodluck!!!
:D
Please help me! I will give you brainliest!
Answer:
C. 140(7-2)
(i like your pfp)
Answer:
Its C. 140(7-2)
Step-by-step explanation: