Answer:
square root of 192
Step-by-step explanation:
12 cos 30 degrees + 2 tan 60 degrees
= 12* (root 3 /2) + 2* root 3 [as cos 30= root 3/2 and tan 60 = root 3]
=6 root 3 + 2 root 3
= 8 root 3
= square root of 64*3
=square root of 192
= square root of k [ where k = 192 = integer]
Trigonometry ratios are used to represent sine, cosine and tangent functions
The value of [tex]\mathbf{12cos(30) + 2tan(60)}[/tex] is [tex]\mathbf{\sqrt {192}}[/tex]
The trigonometry equation is given as:
[tex]\mathbf{12cos(30) + 2tan(60)}[/tex]
In trigonometry,
[tex]\mathbf{cos(30^o) = \frac{\sqrt 3}{2}}[/tex]
[tex]\mathbf{tan(60^o) = \sqrt 3}[/tex]
So, we have:
[tex]\mathbf{12cos(30) + 2tan(60) = 12 \times \frac{\sqrt 3}{2} + 2 \times \sqrt 3}[/tex]
Evaluate all products
[tex]\mathbf{12cos(30) + 2tan(60) = 6\sqrt 3 + 2 \sqrt 3}[/tex]
Add roots
[tex]\mathbf{12cos(30) + 2tan(60) = 8 \sqrt 3}[/tex]
Express 8 as square root of 64
[tex]\mathbf{12cos(30) + 2tan(60) = \sqrt {64} \times \sqrt 3}[/tex]
So, we have:
[tex]\mathbf{12cos(30) + 2tan(60) = \sqrt {64 \times 3}}[/tex]
Evaluate product
[tex]\mathbf{12cos(30) + 2tan(60) = \sqrt {192}}[/tex]
The form is given as:
[tex]\mathbf{\sqrt {k}}[/tex]
By comparison, we have:
[tex]\mathbf{k = 192}[/tex]
Hence, the value of [tex]\mathbf{12cos(30) + 2tan(60)}[/tex] is [tex]\mathbf{\sqrt {192}}[/tex]
Read more about trigonometry ratios at:
https://brainly.com/question/24888715
What is 76.8/100 in grading. For instance is it an A,B,C,D,E etc.
Answer:
grading
A-1---80% AND ABOVE
A---70% AND ABOVE
SO 76.8/100=A
Step-by-step explanation:
I HOPE IT WILL HELP YOU
Answer:
A
Step-by-step explanation:
A+ = 100-90
A = 89-70
First Identify the Angle relationship, then solve for x.
Answer:
x=2
Step-by-step explanation:
46x-2=45x
+2 +2
46x=45x+2
-45x -45x
x=2
Answer:
I hope you can see the pic
Step-by-step explanation:
(46x - 2) and 45x are opposite angles. Opposite angles are equal to each other so, like terms will he collected and then x is gotten as +2.
Which symbol would make the statement TRUE?
4.589 4.958
A. <
B. >
C. =
D. none of the above
Answer:
A. <
Step-by-step explanation:
The symbol "<" means less than.
Comparing 4.589 with 4.958, 4.958 is greater than 4.589 by 0.369 (4.958 - 4.589).
So therefore, if we are to write 1 statement for both, we would say "4.589 is less than 4.958".
This can be written by using just symbols without words, thus, we have:
4.589 < 4.958.
The correct option is A. <
Determine the volume of a sphere with a diameter of 5 inches.Use 3.14 for Pi, and round your answer to the nearest inch. a. 65 cu. in c. 60 cu. in b. 75 cu. in d. 11 cu. in Please select the best answer from the choices provided
Answer:
a
Step-by-step explanation:
r = 2.5 in
V = 4(3.14)[tex](2.5 in)^{3}[/tex]/3 = [tex]65 in^{3}[/tex]
Find the value of x.
Answer:
x=11 degrees
Step-by-step explanation:
45+4x+1=90
46+4x=90
4x=44
x=11
SOLVE APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK. a) A rectangle with perimeter 18 cm has length that is 3 cm more than twice its width. Find the dimensions of the rectangle.
Answer:
[tex]w=2\\l=7[/tex]
Step-by-step explanation:
[tex]l+l+w+w=18\\\\2w+3=l\\\\2w+3+2w+3+w+w=18\\6w+6=18\\6w=12\\w=2\\\\2w+3=l\\2*2+3=l\\4+3=l\\l=7[/tex]
Answer:
3 cm by 6 cm
Step-by-step explanation:
Represent the length and width by L and W.
The perimeter is P = 2L + 2W, and here the perimeter is 18 cm.
Finally, L = W + 3 cm. substituting W + 3 cm for L in the above equation, we get:
18 cm = 2(W + 3) + 2W, or (after reduction)
9 cm = W + 3 cm + W
Then 2W = 6 cm, or W = 3 cm.
Then the length is L = W + 3, or 3 cm + 3cm = 6 cm
The dimensions of the rectangle are 3 cm by 6 cm.
Check: Does 2(3 cm) + 2(6 cm) = 18 cm? Yes
local maximum of y=2x3+x2−7x−6.
Answer:
I did as linear equation hope it helps
Graph y=−4/7x+1. do this math
Answer:
Use demos or a graphing calc.
Step-by-step explanation:
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: −4/7
y-intercept: 1
10. Julio is driving to the store. The average distance d, in miles, he travels over t minutes is given by the
function d(t) = 0.5t. What is the value of the function when t = 15?
Answer:
7.5 miles
Step-by-step explanation:
Given the equation d(t) = 0.5t, all you need to do is plug in the value of t.
They're asking what the Function equals, and they're giving you the value of the variable t.
To solve, write the equation d(15) = 0.5(15)
And if you simplify the right side of the equation, you'll find that
d(15) = 7.5
If t represents time, then you can conclude that Julio travels 7.5 miles in the time t, of 15 minutes.
What is the solution to this system of
equations?
S2x + 8y = -4
x + 4y = -2
Answer:
There are infinitely many solutions
Step-by-step explanation:
2x + 8y = -4 ⇒ x+4y = -2x + 4y = -2As we see these are equal, so overlapping 2 lines. There are infinitely many solutions to the system
Answer:-2
Step-by-step explanation:
ABC is a straight line.
+
H
B
C
The length AB is five times the length BC.
AC = 90 cm.
Work out the length AB.
AB = cm
Answer:
AB = 75 cm
Step-by-step explanation:
Since ABC is a straight line, then
AB + BC = AC
let BC be x then AB = 5x and summing gives
5x + x = 90
6x = 90 ( divide both sides by 6 )
x = 15
Thus
AB = 5x = 5 × 15 = 75 cm
The answer is B
.......................
Answer:
Brainliest
Step-by-step explanation:
The one you chose is correct
SOMEONE PLS HELP !! In a randomly generated list of numbers from 0 to 4, the chance that each number can occur is 1/4. True or False?
Answer:
False
Step-by-step explanation:
This is false because there are 5 numbers from 0 - 4 (0, 1, 2, 3, 4) so the probability will be 1/5 not 1/4.
what is the solution to this inequality x/10+6≥8
Answer:
x ≥ 20
Step-by-step explanation:
First, we want to isolate x. We can start to do that by subtracting 6 to both sides.
x/10≥2
Now, we multiply each side by 10.
x ≥ 20
That's the answer, all values above or equal to 20 are solutions.
Answer:
The answer is x_> 20
Step-by-step explanation:
ANSWER THIS THX 60 POINTS
Answer:
B. -7 + 8n
Step-by-step explanation:
-3.5(2 + -3n) + -2.5n = 0
(2 * -3.5 + -3n * -3.5) + -2.5n = 0
(-7 + 10.5n) + -2.5n = 0
0.5n + -2.5n = 8n
-7 + 8n
Answer:
B & E
Step-by-step explanation:
Evaluate the expression.
[tex]-3.5(2 + -3n) + -2.5n\\(2 * -3.5 + -3n * -3.5) + -2.5n \\(-7 + 10.5n) + -2.5n \\-7 + 8n[/tex]
sin 45 x sin 60 equals to 1 minus under root 3 upon 2 under root
Answer:
Step-by-step explanation:
sin(45) x sin(60) = 1 - [tex]\frac{\sqrt{3}}{\sqrt{2}}[/tex]
This equation is false...
sin(45) * sin(60) = 0.612372435
1 - [tex]\frac{\sqrt{3}}{\sqrt{2}}[/tex] = -0.456475315
9000000 in standard form
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24 .
Answer:
First, you turn it into 18 + 3x = 24
Then do - 18 on both sides to get 3x = 6
so the answer is 2
Step-by-step explanation:
Answer:
I think it might be too late
Step-by-step explanation:
but here it is anyways
Evaluate : -80 - (-15) =
Answer:
-65
Step-by-step explanation:
-80 - -15
Two minuses become plus
= -80+15
Subtract and keep the sign of the higher number
= -(80-15)
= -65
Answer:
I'm glad you asked!
Step-by-step explanation:
[tex]-80-(-15)[/tex]
= [tex]-80-(-15)[/tex]
= [tex]=-80+15[/tex]
[tex]=-65[/tex]
The answer is - [tex]65.[/tex]
Ronny carried his guitar one kilometer from his office to his recording studio.
To get home from his studio, Ronny must walk twice the distance from his
office to his studio. If the variable d stands for the distance Ronny can walk,
which of the following units could apply to that variable?
A. gallons
ОО
B. pounds
O
C. kilometers
D. inches
Help ASAP plz
Answer:
kilometers, C
Step-by-step explanation:
office ➡️ recording studio = 1km
recording studio ➡️ home = twice the distance = 2km
distance Ronny can walk, d
= 2km + 1km
= 3km
13, 15, 17, 19,... describe the pattern in the sequence. Find the next three terms
Answer:
21, 23, 25
Step-by-step explanation:
It adds by x +2 (x being the previous number.)
Answer:
pattern : +2
next three terms : 21, 23, and 25
A charity organization is holding a food drive with a goal to collect at least 1,000 cans of food by the end of the month. It currently has 565 cans from donations and is having an event where 87 guests will attend and bring cans. Which solution set represents the number of cans each guest must bring to meet the goal?
A.)
B.)
C.)
D.)
The answer is 5 in a close dot going --->
Which is D.)
The picture is to show how it looks in Plato.
Answer: D.
Step-by-step explanation:
If they already have 565 cans and 87 will bring cans then we could represent it by the inequality
87x + 565[tex]\geq[/tex] 1000 where x is the number of cans each guest much bring to meet the goal. so solve for x.
87x + 565[tex]\geq[/tex] 1000
-565 -565
87x [tex]\geq[/tex] 435
x [tex]\geq[/tex] 5
since we now that x is 5 then A and C can't be answers.
B can't be an answer in this case because 5 is excluded but they actually need at least 1000 bottles so 5 needs to be excluded.
Which statements are true about the parabola represented by the equation y=−3x^2+18x+23 Select all that apply. 1. The leading coefficient is positive, so the parabola opens up. 2. The leading coefficient is negative, so the parabola opens down. 3. The parabola has a maximum. 4. The parabola has a minimum.
Answer:
2, 3
Step-by-step explanation:
2. The leading coefficient is -3. When the leading coefficient is negative, the parabola opens down.
3. When the parabola opens down, it has a maximum point, but no minimum point. (when the parabola opens up, it has a minimum, but no maximum)
I hope this helps :)
The right statements about equation y=−3x^2+18x+23 is 2) The leading coefficient is negative and 3) The parabola has a maximum.
What is a parabola?A parabola is a plane curve which is mirror-symmetrical and can be downward, upward, leftward and rightward shaped.
What are the statements?Second is true because when the coefficient is negative the parabola opens down because their values starts decreasing.
Third is true because when the parabola opens down it has a maximum point and no minimum point. On the other hand when the coefficient is positive it opens up.
Learn more about parabola at https://brainly.com/question/4148030
#SPJ2
Help me please!!!!!!!
Answer:
- sign between 9 and 64 under root, it should be + sign
Step-by-step explanation:
(-4)*(-8)(2)= 64
It should read x= √9+64 but not √9-54 which lead to incorrect solution
Can someone at least have an estimate of how much money you will need to buy things fro your new house.. ( I mean everything including mattresses, sofas, bed sets, blankets, cleaning products, other products, Toliet paper, Shower curtain, window curtains... All that stuff) Thank you will give the crown for the best answer!!!!
Answer:
You’ll have to come up with $10,000 - 25,000.
Step-by-step explanation:
You'll need at least this much for your new house because if you think about it appliances are getting expensive. So, is furniture and it also depends on how big the house is. Then again, this is about how much my parents ( $46, 560 ) spent on our house and we still are looking for more furniture.
Answer:
$49,500
Step-by-step explanation:
Living Room Item Quantity Individual Cost
Sofa 1 $5,000
Living Room Chair/Club Chair 2 $3,000
Coffee Table 1 $3,000
Side/End Tables 2 $2,000
Table Lamps 2 $1,000
Rug 1 $8,000
Floor Lamp 1 $1,500
Chandelier 1 $5,000
Pillows NA $1,500
Drapery NA $5,000
Console 1 $2,000
Mirror/Art NA $5,000
Accessories NA $1,500
Total Cost $49,500 (at minimum)
keep in mind that you have your own style and that it can depend on how much you want to spend, maybe you want to get more Accessories or better quality things so yes It will go up depending on what your taste is.
A model rocket is launched from ground level. Its height, h meters above the ground, is a function of time t seconds after launch and is given by the equation h=-4.9t^2+68.6t What would be the
maximum height, to the nearest meter, attained by the model?
Answer:
240 m to nearest meter.
Step-by-step explanation:
h = -4.9t^2 + 68.6t
We need to convert this to vertex form to find the maximum value of h:
h = -4.9(t^2 - 14t)
h = -4.9[(t - 7)^2 - 49]
h = -4.9(t - 7)^2 + 240.1
So maximum height is when t = 7 and it's 240.1 meters.
I will mark you brainliest!!!! Determine which region contains the solution to the system.
Answer:
Region B
Step-by-step explanation:
The solution to the system is the point at which the two lines intersect, which would be in Region B.
The dual bar chart shows the hair colour of boys and girls in a year group. How many students are in the year group?
Answer:
80 studentsSolution,
Black=23+3=26
Brown=14+11=25
Blonde=1+6=7
Red=14+8=22
Now,
Total=26+25+7+22
=80
Hope this helps...
Good luck on your assignment....
Answer:
80
Step-by-step explanation:
Number of students is the sum of all the bars:
23+3+14+11+1+6+14+8= 80So the number is 80
Molly spent 1 hour and 30 minutes swimming 5 laps in the river. If it took her the same time to swim each lap, how long would it take her to swim 7 laps?
Answer:
126 minutes or 2 hours and 6 minutes
Step-by-step explanation:
Find how long it took her to swim one lap
1 hour and 30 minutes = 90 minutes
90/5 = 18
This means it took her 18 mins to swim each lap
18 · 7 = 126
It took her 126 minutes/2 hours and 6 minutes to swim 7 laps
126 hours (aka 2 hours and 6 minutes)
That is the Answer.
pls Answer me
I will mark as BRAIN LIST.
Answer:
tan p = 5/12.
tan p = cot r.
Step-by-step explanation:
RQ = √(13^2 - 12^2)
= √25
= 5.
tan p = opposite side / adjacent side = 5/12.
cot r = adjacent side / opposite side = 5/12.
tan p = cot r.