I don’t understand what to do on these question, some help would be nice (trigonometry)
Answers
Step-by-step explanation:
> find the angle of center circle:
cos~¹ 5/(5+12) = cos~¹ 5/17 = 72°
so the sector area of the shaded
region =
(360-72)/360 × 3.14 × 5²
= 288/360 × 78.5
= 62.8
> the height of triangle (red Line) =
4×tan 72° = 4× 3.078 = 12.31
the height of pyramid (green
Line) = √12.31²-8.5² =√74.16
= 8.61
so the volume of pyramid =
⅓×(17×8)×8.61 = 390.32
Related Questions
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458
Answers
Answer:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Step-by-step explanation:
The amount of profit y made by the company from selling each widget at x price is modeled by the equation:
[tex]y=-x^2+72x-458[/tex]
Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:
[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
There are 5 red marbles, 15 blue marbles,
reach in and randomly draw two marbles without replacing the first, what is the
probability that both will be blue?
Answers
Answer:
Probability is 0.552, or about 55%
Step-by-step explanation:
first there are 20 marbles in total: odds are 15/20 = 3/4
Then, there are 19 marbles in total : odds are 14/19
So the odds of both of them being blue are: 3/4 * 14/19 = 0.552 (rounded to the thousandths place)
Please give brainliest thanks!
What is 8 weeks from June 30th
Answers
Answer:
The answer is25th August
j=the money used in south Africa is is called the rand . the estrange rate 7 rand for $1. Find how many dollars you would receive if you estrange 21 rand.
Answers
Answer:
$3
Step-by-step explanation:
21 rand /7
In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the total percent decrease.
Answers
Answer: 237,500 total decrease
Step-by-step explanation:
Can you help me solve in any algebraic method ?
Answers
Answer:
Step-by-step explanation:
x²+(8+3)x +24=0x²+8x+3x+24=0x(x+8)+3(x+8)=0(x+8)(x+3)=0if,(x+8)=0 then,x+8=0x=-8,,if x+3=0 then,x=0-3x= -3,,X(x+8)+3(x+8)=0
-> (x+8)x(x+3)=0
->{ x= -8
{ x=-3
Find the measure of angle D
Answers
Answer:
Step-by-step explanation:
You can't see the picture really well
(-6, -5) and (2, 0)
Find the distance between each pair of points.
Answers
Answer:
[tex]\sqrt{89}[/tex] or 9.43
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
I REALLy need help with these I got them wrong
Answers
Answer:
A = (1/2 x b x h ) 4 + l^2
= 1/2 x 5 x 8 x4 + 5 x 5
80 + 25
= D. 105 cm2
Answer:
105
Step-by-step explanation:
You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
Answers
Answer:
D
Step-by-step explanation:
To check this answer, you could obviously graph the points, but without graphing, you can tell the line would be straight because each x value is multiplied by the same number to get the corresponding y value.
3 x 5 = 15, 4 x 5 = 20, etc. This shows linear growth. If each x value were multiplied by twice itself (3 x 6, 4 x 8, and so on), you wouldn't have a straight line because the number that x is multiplied by changes depending on the value of x.
A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?
Answers
20x35= 700
700+50 = 750
750-100= 650
Simplify the fraction below leaving your answer as a fraction where both the numerator and denominator are positive integers. 3⁹÷3⁵÷9³×3
Answers
Answer:
1/27
Step-by-step explanation:
4.
F=1.80 + 32
so
(a) Work out the value of F when C=2
(b) Work out the value of C when F= 50
Answers
Answer:
This doesn't make sense because there is no C variable, but I will solve for f if that helps.
Step-by-step explanation:
[tex]f=1.80+32[/tex]
[tex]-32[/tex] [tex]-32[/tex]
[tex]f=-30.2[/tex]
¿Numeros entre 0,1 y 0,5?
Answers
Answer:
0.2
0.3
0.4
Step-by-step explanation:
What is the range of y = sinx in the interval - π ≤ x ≤ 0?
-1 ≤ y ≤ 1
-1 ≤ y ≤ 0
0 ≤ y ≤ 1
y ≤ 1
Answers
Answer:
[tex]-1 \le y \le 1[/tex]
Step-by-step explanation:
Let be [tex]y = \sin x[/tex], the range of the function corresponds to the set of values of [tex]y[/tex]. The sine function is a bounded function between -1 and 1. Hence, the range of the function is:
[tex]-1 \le y \le 1[/tex]
11. Benjamin plotted -1.5 and 1.6 on a number
line. Which point is further from zero?
12.
Times in 50-meter Dash
Runner
Time (s)
Steve
7.41
Mike
7.38
Daniel
7.43
Mauricio
7.25
Four runners ran the 50-meter dash. The
times are shown in the table above.
Which runner had the fastest time?
Answers
Answer:
11 1.6
12 Mauricio
Step-by-step explanation:
11. Take the absolute value of each number to determine which is furthest from zero
|-1.5| and |1.6|
1.5 and 1.6
1.6 is greater than 1.6 so it is further from 0
12. The fastest time is the smallest time
The ones place all has 7's so look at the tenths place
The smallest number will have the fastest time
Mauricio has a 2 which is the smallest number
Mauricio has the fastest time
Need help with some math
Answers
Answer:
A
Step-by-step explanation:
Desnity: mass/volume
3/20= .15
In a competition, a prize is won every 2018 minutes. Work out an estimate for the number of prizes won in 1 year. You must show your working
Answers
Answer:
260
Step-by-step explanation:
Number of hours in one year = 365 x 24 x 60 = 525600
(365 days, 24 hours per day, 60 minutes per hour)
One prize is won every 2018 minutes so in 525600 minutes
525600 / 2018 = 260 prizes will be won (The answer is 260.46, which rounds to 260)
PS: Can I pls get brainliest? I need it to rank up
What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3
Answers
Answer:
[tex]2034.72\:\mathrm{mm^3}[/tex]
Step-by-step explanation:
The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.
What we're given:
[tex]r[/tex] of 18 [tex]h[/tex] of 6 Use [tex]\pi=3.14[/tex]Substituting given values, we get:
[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]
Find the value of each variable. Round your answers to the nearest tenth. (Soh Coh Toa)
Answers
Answer:
k = 8.4, j = 13.1
Step-by-step explanation:
Solve for k:
[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]
Solve for j:
[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]
Answer:
k = 10 tan (40) = 8.39 (to 2 decimals)
J = 10 / cos(40) = 13.05 (to 2 decimals)
Step-by-step explanation:
It is SOH CAH TOA, or
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Using SOH CAH TOA,
tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)
cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)
Calculate the sizes of the unknown angles in each diagram.
Please, answer with explanation.
Answers
Step-by-step explanation:
a) 2z+3z+4z=180
9z=180
z=20
So,three angles are 40,60 and 80
b) (y+30)+(2y+80)+(y+10)=180
y+30+2y+80+y+10=180
4y+120=180
4y=60
y=15
Three angles are 45,110,25
What Did You Understand In The Picture
Answers
From the equations below, let's find the value of x.
x=y=2z
xyz=256
Answers
Answer:
x=8
Step-by-step explanation:
xyz=256
x=y=2z
Replace y with x and z with x/2
x * (x) *(x/2) =256
x^3 /2 = 256
x^3 = 512
Take the cubed root of each side
(x^3) ^(1/3) = (512) ^ (1/3)
x=8
2
А
B
G
30°
F
D
NOTE: Angles not necessarily drawn to scale.
Answers
Answer:
x = 60°
Step-by-step explanation:
∠ CGE = ∠ FGD = 30° ( vertical angles )
∠ CGB = 90° , then
x + 30° = 90° ( subtract 30° from both sides )
x = 60°
Which quotient is greater than 3? 28 divided by 10, 35 divided by 11, 38 divided by 13 or 40 divided by 14
Answers
The quotient 35 divided by 11 is the only one among the options that is greater than 3.
To determine which quotient is greater than 3, we can calculate the value of each quotient:
28 divided by 10 = 2.8
35 divided by 11 ≈ 3.182
38 divided by 13 ≈ 2.923
40 divided by 14 ≈ 2.857
Comparing these values, we can see that only the quotient 35 divided by 11, which is approximately 3.182, is greater than 3.
Therefore, the quotient 35 divided by 11 is the only one among the options that is greater than 3.
To know more about divided:
https://brainly.com/question/15381501
#SPJ6
Carlos drove 8x + 13 miles in two
days. If he drove 3x + 5 miles on the
first day, how many miles did he drive
on the second day?
Answers
Answer:
5x+8
Step-by-step explanation:
Answer:5x+8
Step-by-step explanation:
8x+13
-3x
5x+13
-5
5x+8
What expression would be easier to simplify if you use the associative property to change the grouping?
A.[(-0.2)+(-0.6)]+1.7
B.(2+5/2)+(-1/2)
C.(60+40)+(-27)
D.6+[4/9+(-2/9)]
Answers
Answer:
B
Step-by-step explanation:
2+5/2 is hard to add since first you have to make 2 into a fraction with the denominator 2. If you use the associative property, you can just easily combine -1/2 and 5/2 without any converting into fractions
I need fast
How many pieces ,each of length 3 ¾ m can be cut from a rope of length 30m?
Answers
Answer:
8
Step-by-step explanation:
Divide 30 by 3.75 to get 8.
Hope that this helps!
in the fist quadrant you start a 5,3 and move 2 units left and 1 unit down where would you end up?
Answers
Answer:
3,2
Step-by-step explanation:
Answer:
(3,1)
Step-by-step explanation:
If you moved two units left you would be at (3,2) the move one down you would be at (3,1)
Please help I’ll give brainliest
Answers
Answer:
33
Step-by-step explanation:
The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33
