Answer:
Step-by-step explanation:
here is how you find the answer
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
now apply the above rules to the given triangle
where we are given the angle of 30° and the Adj side of 27
y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values as follows
so use CAH Cos(30) = 27 / Hyp
Hyp = 27 / Cos(30)
Hyp = 27 / ([tex]\sqrt{3}[/tex] / 2)
Hyp = 27 * 2 / [tex]\sqrt{3}[/tex]
Hyp = 54 / [tex]\sqrt{3}[/tex]
y = 54 / [tex]\sqrt{3}[/tex]
use SOH, since we know the exact value for the Hyp from above
Sin(30) = Opp / ( 54 / [tex]\sqrt{3}[/tex] )
Sin(30) * 54 / [tex]\sqrt{3}[/tex] = Opp
1/2 * 54 / [tex]\sqrt{3}[/tex] = Opp
27 / [tex]\sqrt{3}[/tex] = Opp
x = 27 / [tex]\sqrt{3}[/tex]
:)
Pls help me and thank you!
The average test score for 8 students is 5 the scores for 7 of the 8 students are shown what is the score of the 8th student
Answer:
70
Step-by-step explanation
Find the diagram attached
Average = Sum of scores/sample size
Given the 7 numbers
20, 20, 20, 30, 80, 80, 80
Average = 50
5 = 20+20+20+30+80+80+80+x/8
x is the score of the 8th student
50 = 330+x/8
400 = 330+x
x = 400-330
x = 70
Hence the score of the 8th student is 70
Please help with these (algebra)
The volume of a cereal box is 264 in3 . If it has a width equal to 3 inches and length of 8 inches, what is the height?
Answer:
11 inches
Step-by-step explanation:
Volume of a box is:
[tex]l * w * h[/tex]
[tex]8 * 3 * h = 264\\\\24*h=264\\\\\frac{24*h=264}{24} \\\\\boxed{h=11}[/tex]
The height is 11 inches.
Hope this helps.
Volume of the box = LWH.
Let V = 264
264 = (8)(3)(H)
264 = 24H
264 ÷ 24 = H
11 = H
The height of the box is 11 inches.
helllllllllllppppppppppppppppppppp
I’ll give points but please help me on this and if you don’t know the answer please don’t answer the question thank you
A man's income is increased in the ratio 47:40.find the increase percentage
Answer:
14.8%
Step-by-step explanation:
Given data
Initial income=47
Final income=40
The change= 47-40
=7
Hence the percent increase is
% increase= Change/ initial*100
% increase= 7/47*100
% increase=0.148*100
% increase=14.8%
Multiply (3x-5)(x+4)
Answer:
3x^2+7x-20
Step-by-step explanation:
Answer:
expand the brackets
3x^2 + 7x -20
Step-by-step explanation:
(3x-5)(x+4)
= 3x^2 + 12x - 5x + 20
= 3x^2 + 7x + 20
At a really nice
restaurant, Seiji
wanted to leave a
20% tip for the
outstanding waiter.
The bill was $75.64.
SHOW WORK!!!
Answer:
tip = $15.128
Step-by-step explanation:
tip = 75.64 × 20/100
tip = 1512.8/100
tip = $15.128
A circle has a circumference of 3.14 units.
What is the diameter of the circle?
inits
Answer:
D = 1
Step-by-step explanation:
0.99949
round the answer so its 1
diameter = 1
Make a conjecture regarding the line joining the midpoint of sides of a triangle
Answer:
A line drawn from the midpoint of one side of a triangle to it's opposite vertex would be an angle bisector of that vertex.
Step-by-step explanation:
find f(4) if f(x) = x - 6
Harpo, Groucho, Chico, Zeppo, Gummo, Karl, and Skid have won three tickets to the opera. They will randomly choose three people from their group to attend the opera. How many outcomes are possible?
Answer:
35
Step-by-step explanation:
This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.
C(n,r)=C(7,3)
=7!(3!(7−3)!)
=7!3!×4!
= 35
Finally, we can see that the total number of possible outcomes is 35
please help i put 30 points
Answer:
A
Step-by-step explanation:
The root 5's cancel each other out.
4x-2x = 2x
Therefore
2x/3 is the final answer
Sarah bought 18 boxes of 65 pens at $12 a box. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. Find her total profit.
Answer:
$108
Step-by-step explanation:
The computation of the total profit is shown below:
Given that
1 box = $12
18 boxes = 12×18 = $216
So
Total = 18×65 = 1170 pens
Now Cost price, Cp = $216
Also,
3 = $1
So,
= 378 ÷ 3
= $126
Now
= 1170-378
= 792 pens remaining
4 = $1
So,
792
= 792 ÷ 4
= $198
Now
Total selling price, sp = 126+198 = $324
So finally
Profit = Sp - Cp
= $324 - $216
= $108
Helppppp i need help ASAP
Answer:
a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour
−|−37| = 37 true or false
Answer:
false
Step-by-step explanation:
The value of |−37| is 37
however, since the negative sign is in front of the absolute value,
−|−37| = -37
Therefore,
−|−37| does not equal 37
The given statement −|−37| = 37 is false.
Given that, −|−37| = 37.
We need to whether the given statement is true or false.
What is an absolute value?The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.
Now, |−37|=37
So, -|−37|=-37
Therefore, the given statement is false.
To learn more about an absolute value visit:
https://brainly.com/question/1301718.
#SPJ2
which equation is written in standard form ?
a. y-3 = -5(x+2)
b. y= 1/2x + 2
c. 3x + 2 = y
d. -7x + 2y = 9
B is standard form. y=1/2x + 2
Answer:
d.-7x+2y=9 that is the answer
algebra 1. please help me. i’m literally struggling , i’ll give an extra 50 points if it’s right and brainliest. - question in picture
Answer:
13x^2+2x+5
Step-by-step explanation:
that is the right answer
You have to combine the like terms.
Answer:
[tex]40x^{4}[/tex] - [tex]9x^{3}[/tex] + [tex]46x^{2}[/tex] + 6x + 16
Step-by-step explanation:
Is this correct ? What’s the answer??
Answer:
Im not sure Im sorry Im just trying to get points but I will send to a friend to help
Step-by-step explanation:
Which of the following functions has a rate of change that stays the same? (1 point)
O y = x2 - 5x -14
O y = 19x - 10
O y = 5*
O y = 0.03x² + 11x + 1
this is the answer y=19x-10
Ariana made cookies. She used 3 7/8 cups of flour and 2 1/8 cups of sugar. How much more flour than sugar did Ariana use?
Answer:
1 6/8 cups of flour
Step-by-step explanation:
Just subtract 2 1/8 from 3 7/8
Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, 8>, v = <-4, 8>
2.7°
-7.3°
5.4°
15.4°
9514 1404 393
Answer:
(c) 5.4°
Step-by-step explanation:
We can simply determine the difference between the angles of the vectors:
arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°
The angle between the vectors is about 5.4°.
__
Alternate solutions
1) We could also determine the angle of their ratio.
u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i
angle = arctan(0.1/1.05) = 5.440°
__
2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))
tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))
= (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2
∠u -∠v = arctan(2/21) = 5.440°
Determine the type of triangle that is drawn below.
Answer:
Step-by-step explanation:
Since each angle is different it is scalene. Since all angles are less than 90 degrees it is acute.
So this is a Scalene Acute triangle.
Answer: Scalene Acute
Step-by-step explanation:
An acute triangle has all three angles less than 90 and a scalene triangle has no equal sides.
cellus
Solve for x.
x = [?]
2x + 1 4x - 19
Enter
Answer:
2x+1+4x-19=180, 6x-18=180, 6x=198, x=33
please help me?????????????
Find two integers whose sum is -18 and product is 77
Answer:
-11 and -7
Step-by-step explanation:
Answer:
-11 and -7
Step-by-step explanation:
-11 + (-7) = -18
-11 x -7 = 77
A floor 3.2m long and 2.8 m wide is to be covered with square shaped tiles of length 10cm. Find the coast of flooring if the coast tiles is Rs 150 per 100 tile.
Answer:
1344
Step-by-step explanation:
100cm = 1 m
Convert the dimensions of the floor to cm = Area of a rectangle = length x breadth = 320 x 280 = 89,600m²
Area of a square = length² = 10cm² = 100cm²
Number of tiles that would be needed = area of floor / area of square
89,600cm² / 100cm² = 896
Cost of one tile = rs 150 / 100 = 1.5
Cost of 896 tiles = 1.5 x 896 = 1344
Find the surface area of the cube show below
2/3
Answer:
Step-by-step explanation:
there are 6 sides on a cube
surface area = 6 times the area of one face of the cube
= 6 times ( a side times another side) note all sides are equal
= 6(side)² is a side equal to 2/3 ?? if it is ....
= 6(2/3)²
= 6(2/3)(2/3) one of the 3s divide into 6 twice
= 2(2)(2/3)
= 2³ / 3
= 2x2x2 / 3
= 8 /3
= 2 and 2/3 units²
6. The area of a circle is 36pi cm squared. Find its circumference.
Answer:
AREA=PI*6*6 THUS THE RADIUS IS 6 CM. C=37.68 CM.
Step-by-step explanation: