Answer:
56.1feet
Step-by-step explanation:
Triangle NOP is a right angled triangle;
NP is the adjacent side = 50feet
NO is the hypotenuse
m<N = 27degrees
Using the SOH CAH TOA identity;
Cos theta = Adjacent/Hypotenuse
Cos m<N = NP/NO
Cos 27 = 50/NO
NO = 50/cos27
NO = 50/0.8910
NO = 56.1 feet
Hence the length of NO to the nearest tenth is 56.1feet
Number of boys number of girls 11:9 there is 124 more boys than girls work out the number of students at the school
Answer:
1240
Step-by-step explanation:
Number of boys to a girl is
x:y= 11:9
9x= 11y
There are 124 more boys in the schooll than girls
x= 124+y
Substitute 124+y for x
9(124+y)= 11y
1116+9y= 11y
1116= 11y-9y
1116= 2y
y= 1116/2
y= 558
Number of girls is 558
The number of boys can be calculated as follows
= 558+124
= 682
Hence the total number of students is
= 682+558
= 1240
What is f(x)=x^2-8x y-intercept?
Answer:
x(x−8y)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = xx
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
than your answer is x(x-8y)
A one side open cylinderical drum has inner radius 28 cm. and height 2.1 m. How much water you can store in the drum. Express in litres. (1 litre = 1000 cc.)
Answer:
Hence, 5174.4litres of water can be stored in the drum.
Hope it helps..
Have a great day :)
Answer:
volume is equal to πr²h
ie
3.14 × 28² × 210
=516,969.6
divide the result by 1000
516.969litres
Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true?
Answer:
Step-by-step explanation:
Parallel lines: A and B
Rotation: 90° same direction
Translation: Right (same units)
On a coordinate plane, triangle A B C has points (negative 2, 7), (negative 2, 3), and (negative 6, 3) and triangle D E F has points (negative 2, negative 10), (negative 2, negative 2), and (6, negative 2). Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem. Horizontal and vertical lines are . So, angles are right angles by definition of perpendicular lines. All right angles are . Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Question:
On a coordinate plane, △ABC has points (-2, 7), (-2, 3), and (-6, 3) and △DEF has points (-2,-10), (-2, -2), and (6, -2).
Given that
[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex]
Complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are __(1)__. So, angles are right angles by definition of perpendicular lines. All right angles are __(2)__
Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Answer:
(1) perpendicular
(2) congruent
Step-by-step explanation:
Required
Fill in the gaps
[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex] implies that:
[tex]AB : DE= BC : EF[/tex]
In other words:
AB ~ DE ---- Side (S)
and
BC ~ EF ---- Side (S)
Now to fill in the gap with:
(1) perpendicular
(2) congruent
Further explanation
(1) Vertical lines and horizontal lines meet at a right angle (i.e. 90 degrees). Any two lines that meet at a right angle are perpendicular
(2) Angles with equal measures are congruent. Because right angles have a congruent angles of 90 degrees, then they are congruent.
Answer:
Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are
✔ perpendicular
.
So, angles
✔ B and E
are right angles by definition of perpendicular lines.
All right angles are
✔ congruent
.
Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.
Answer:
78 dollars
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).
Given:
c(n) = 50 + 4n
Where,
c = monthly cost of visiting a gym
n = number of visits
Find the value of c(7)
That is, when n = 7
c(n) = 50 + 4n
c(7) = 50 + 4(7)
= 50 + 28
= 78
c(7) = 78 dollars
which equation best matches the graph shown below ?
Can y’all do 5-6 please.I have this whole thing due at 12:00 lol.
4) What is the probability to draw a black checker from a bag of 6 black
checkers and 4 red checkers, replacing it and drawing another black checker.
Step-by-step explanation:
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.
helllllllpppppppppp!!!!!!!!
Answer:
i dont know
Step-by-step explanation:
.
7.
Would the following angle measures form a triangle?
70°, 80°, 45°
a) No
I b) Yes
Answer:
A
Step-by-step explanation:
The measure of the angles of a triangle = 180
70 + 80 + 45
150 + 45
195 degrees
195 > 180
So, A) No
Using the graph below, find A, H, and K.
Answer:
Step-by-step explanation:
A:(2,7)
H:(4,3)
K:(6,7)
im really guessing here about the order of the pairs
(the ordered pairs are right im just not sure the order i have it in is right please let me know)
what is the sum of -4/7 and 6/7
Answer:
2/7
Step-by-step explanation:
Since the denominators are the same, we need to add the numerators and place it over the common denominator
-4+6 = 2
so
-4/7 + 6/7 = 2/7
2/7
Answer:
B
Step-by-step explanation:
Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,085 gallons of water, and is leaking at a rate of 20
gallons per day.
If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool
after 103 days?
A. 15,025 gallons
B. 16,055 gallons
C. 17,188 gallons
D. 19,145 gallons
Write an expression showing five less than the number A
Answer: A-5
Step-by-step explanation:
"A" the number and 5 which should be less than the number
You make the equation
A-5
what does the variable x represent?
HELP
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?
Answer:
y = x - 1
Step-by-step explanation:
Put it in point-slope form:
y - 0 = 1(x - 1)
y = x - 1
convert 412m³ to cm³
Answer: [tex]412000000\ cm^3[/tex]
Step-by-step explanation:
Given
Number is [tex]412\ m^3[/tex]
we know
[tex]1\ m=100\ cm\\\\\therefore 1\ m^3=1000000\ cm^3[/tex]
For [tex]412\ m^3[/tex] it is
[tex]\Rightarrow 412\ m^3=412\times 1000000=412000000\ cm^3[/tex]
please help asap i need to finish i will mark brainlest ily
Answer:
I think it would be 1/3 as 20+40=60 and 20 is 1/3 of what
Answer:
20\40= 0.5 is 1\2
Select all expressions equivalent to 9(2x - 5)
(select 2 btw)
18x - 5
3(6x - 5)
18x - 45
3(6x- 15)
True or false
(Question in the picture)
Answer:
False
48° + 77° + 66° ≠ 180°
Step-by-step explanation:
Choose all the expressions that are equivalent to 587 = 1,000.
B. 587 x 0.01
A. 5.87 : 100
D. 58.7 x 0.01
C. 5.87 x 0.1
E. 587 x 0.001
Answer:CED
Step-by-step explanation:
Answer:
C, E, and D
Step-by-step explanation:
pls answer this asap no wrong answers pls
Answer:
They have the same y-intercept of -6.
A formula to convert euros into pounds and p is the number of pounds and e is the number of euros.
p = e/1.2
Convert into pounds 12 euros
Step-by-step explanation:
p=e/1.2
insert 12 e into the formula
p=12/1.2
10 pounds
worth 20 points!!!!!
Answer:
polygon B = 20 meters
Step-by-step explanation:
polygon A : polygon B
3 : 4
15 : x
first take 15 and divide by 3, this would tell us how much it went up by:
15 ÷ 3 = 5
next, take 4 and multiply it by 5:
4 x 5 = 20
this means that polygon B is 20 meters
-10 + 2d=8 pls help me
Answer:
Add 10 from both sides:
2d = 18
divide by 2
D = 9
What is the answer, plz help
Answer:
31=x
96=z
Y=31
Step-by-step explanation:
X x Z=
N/180
16.53
Im not sure because the ff isnt complete
What is the value of x?
Answer:x = 8.5
Step-by-step explanation:
1. Combine like terms
62+75+9 = 146
2.Set up equation
146+4x = 180
3. Subtract 146 to each side
146-146 + 4x = 180-146 = 34
4. Divide by 4
4x/4 = 34/4
X= 8.5
I really need help please!
As we know that angle of semi circle is 180°.
Here,
FLG = 40°
GLH = ?
HLJ = 60°
FLG + GLH + HLG = 180°
40° + GLH + 60° = 180°
GLH + 100° = 180°
GLH = 180° - 100°
GLH = 80°
Now,
FLH = 40° + 80° = 120°
[tex] \sf \: Length \: of \: an \: arc \: of \: GHF = \dfrac{ \theta}{360} \times 2 \pi \: r[/tex]
[tex] = \dfrac {120}{360} \times 2 \times \dfrac{22}{7} \times r[/tex]
[tex] = \frac{1}{3} \times \frac{44}{7} \times r[/tex]
[tex] = \frac{44}{21} \times r[/tex]
[tex] = 2.09r[/tex]
A bird is gliding at 40 meters per minute. How long, in minutes, will it take the bird to travel 160 meters?
Answer:
4 minutes
Step-by-step explanation:
160/40 = 4
Answer:
Step-by-step explanation:
40
h
Explanation:
We're asked to find the time it takes an object (bird) to travel
1800
km
at a constant speed of
45
km/h
.
We have our simplified speed equation:
speed
=
distance
time
Rearranging for time:
time
=
distance
speed
We're given:
speed
=
45
km/h
distance
=
1800
km
Plugging these in:
time
=
1800
km
45
km
h
=
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
40
l
h
∣
∣
−−−−−−−−−
The journey will take
40
l
hours
.
