Answer:
o = 20.18; b = 13.51i = 12.68; n = 27.19Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between sides and trig functions in right triangles. These can be used to solve the triangles shown.
__
1.Sin = Opposite/Hypotense
sin(48°) = 15/o
o = 15/sin(48°) ≈ 20.18 . . . . . . . . . multiply by o/sin(48°)
Cos = Adjacent/Hypotenuse
cos(48°) = b/o
b = o·cos(48°) = 20.18·cos(48°) ≈ 13.51
For triangle BOX, o = 20.18, b = 13.51.
__
2.Sin = Opposite/Hypotense
sin(25°) = i/30
i = 30·sin(25°) ≈ 12.68
Cos = Adjacent/Hypotenuse
cos(25°) = n/30
n = 30·cos(25°) ≈ 27.19
For triangle TIN, i = 12.68, n = 27.19.
Anyone know the answer?
Answer:
Positive
Step-by-step explanation:
Negative over a negative cancel out and become positive.
The prism below is made of cubes which measure of 1/2 a foot on one side. What is the volume?
I need this ASAP PLS
(will give brainliest)!
Answer:
The answer is A since it does the same movements twice. Think of it like flipping a coin, then actually taking the coin and flipping it back over regardless of what it lands on.
Step-by-step explanation:
Hope this helps have a good rest of your day
the surface area?
A - 216
B - 336
C - 438
Answer:
B
Step-by-step explanation:
Find the area of the trapezoid.
95 cm
133 cm
Answer: A=a+b
2h=95
2·13.5=675
Step-by-step explanation:
Answer:
D 57.5
Step-by-step explanation:
9.5 + 13.5 = 23
23 x 5 = 115
115 divided by 2 is 57.5
Please help me no links
Answer:
F
Step-by-step explanation:
And it is the solid line because it is less than OR equal to
Dotted line would just be less than
Write a sentence to represent the solution set in the context of the problem.
___________________________________________________________
920 = 560 + 60(x) He has to make at least 6 sales to get $920
Answer:
6 sales
Step-by-step explanation:
(I MADE THIS QUESTION I DIDINT KNOW IF YOU NEEDED IT)
Jake wants to but the new computer(it costs $920). Jake has $560 saved in his bank. Jake also gets $60 whenever he makes a sale at his job. How many sale(s) at his job does Jake need to make? Answer -- Jake needs to make 6 sales of $60 to buy the new computer.
MATH -----
$6 x $60 = $360
$360 + $560 = $920
5. For all real values of x such that -1 < x < 0, which of the following
expressions has the greatest value? *
Answer:
x<0
Step-by-step explanation:
-1<0 is greater
hope this helps your question
please help! pleaseeeeee
Answer:
D-27 cm
Step-by-step explanation:
we are given that the top is 8cm
one side is 3..the 2 sides are the same length so total of 6
the bottom is 5, we know the top is 8 so 8-5 =3
the 2 breaks are 1 each
so we do
8 + 5+ 6+ 2+3 =24
Please help me!!!
it would be greatly appreciated
Answer:
11.72
Step-by-step explanation:
6.76 + 4.96 = 11.72
Identify the equation that describes the line in slope-intercept form.
slope = 3, point (−2, −4) is on the line.
choices:
y = 3x − 10
y = 3x − 4
y = 3x + 2
y = 3x − 2
Pls help im in a test
last question and ty please help me answer
Step-by-step explanation:
1. 6 ounce = 1.56 $
So, 1 onuce = 1.56/6 =
2. 14 ounce = 3.36 $
So, 1 ounce = 3.36/14 =
3. 20 ounce = 5.60 $
So, 1 ounce = 5.60/20 =
What is the value of 350−30(−14+2.5)
Answer:
695
Step-by-step explanation:
So for thus, you need to follow PEMDAS
First, Parentheses
(-14 + 2.5) = -11.5
Skip E, there are no Exponents
Now for Multiplication
30 * (-11.5) = -345
Lastly, Subtraction
350 - -345
Becomes 350 + 345 = 695
Answer:
The answer is 695.
350-30(-14+2.5)=695.
Leah likes getting her hair done at Hair Forever because they offer free drinks in the waiting room. The cups for hot drinks are cylindrical with a height of 9 centimeters and a radius of 3.8 centimeters. What is the volume of each hot-drink cup?
Use ≈3.14 and round your answer to the nearest whole number.
For cold drinks, there are cone-shaped paper cups. They have the same volume as the hot-drink cups and a radius of 5.1 centimeters. What is the height of each paper cup?
Use 3.14 and round your answer to the nearest whole number
The height of each paper cup to the nearest whole number is 15cm
The volume of a cylinder and coneThe formula for calculating the volume of a cylinder is expressed as:
V = πr²h
r is the radius
h is the height
Given that h = 9cm and r = 3.8cm
V = 3.14 * (3.8)² * 9
V = 408cm³
For the cone
V = 1/3πr²h
408 = 1/3 (3.14 * (5.1)² * h)
1224 = 81.6714h
h = 1224/81.6714
h= 15cm
Hence the height of each paper cup to the nearest whole number is 15cm
Learn more on volume of solid shapes here: https://brainly.com/question/1355179
help me pls pls bro pls
Use the equation from the previous problem to predict the price of bzg stock on day 30.
Answer:
925.798
Step-by-step explanation:
1.65(x) x 18.703 = 925.798
the perimeter of this figure is 70 feet. how long are the unkown sides?
5 ft
6 ft
10 ft
12 ft
Answer:
The correct answer is 6 ft. Hope this helps!
Step-by-step explanation:
PRESLEY
You are curious about the amount of coffee that the giant fountain cup could actually hold.
The dimensions of the fountain cup are as follows:
• Height is 8 feet.
• Diameter of the top is 6 feet.
• Diameter of the base is 4 feet.
Use this formula with height, h, radius of the base, roase, and radius of the top, rtop, to determine the volume
of the cup:
(πh).
V= -((rbase)+ (rbase) (stop) + (top)).
3
There are 7.5 gallons of liquid per cubic foot.
Enter the volume, in gallons, of the fountain cup.
The volume of the fountain cup in gallons is 4775.2 gallons
Volume of a frustumSince the fountain cup is in the shape of a frustum, its volume is given by
V = πh/3(r² + rr' + r'²) where
h = height of cup = 8 feet, r = radius of base of cup = 4 feet and r' = radius of top of cup = 6 feet.So, substituting the values of the variables into th equation, we have
V = πh/3(r² + rr' + r'²)
V = π × 8 ft/3[(4 ft)² + 4 ft × 6 ft + (6 ft)²]
V = π × 8 ft/3[16 ft² + 24 ft² + 36 ft²]
V = π × 8 ft/3 × (76 ft²)
V = 608π ft³/3
V = 1910.088 ft³/3
V = 636.69 ft³
V ≅ 636.7 ft³
Volume of the fountain cup in gallonsSince there are 7.5 gallons per cubic foot,
The volume of the fountain cup in gallons is V = 636.7 ft³ × 7.5 gallons/ft³ = 4775.2 gallons
So, the volume of the fountain cup in gallons is 4775.2 gallons
Learn more about volume of a frustum here:
https://brainly.com/question/14268491
This figure represents a small plastic container.
What is the volume of the container?
3648 mm³
11,520 mm³
14,400 mm³
15,360 mm³
Answer:
11,520
Step-by-step explanation:
this should be the prism you're talking about if not i dont know which one
Answer:
B. 11,520 mm³
help me !!How many years will it take for the Honda to be worth more than the Range Rover? Justify your
response mathematically.
Answer:
6.03 years
Step-by-step explanation:
The value of the Range Rover decreases 25% per year, so its value "growth" factor is 1-25% = 0.75. The initial value is 60,000, so its exponential value function can be written ...
r(x) = 60000(0.75^x)
The Honda has a "growth" factor of 18000/20000 = 0.90 and an initial value of 20,000, so its exponential value function can be written ...
h(x) = 20000(0.90^x)
__
We want to find x such that h(x) > r(x).
20000(0.90^x) > 60000(0.75^x)
0.90^x > 3(0.75^x) . . . . . . . divide by 20000
(0.90/0.75)^x > 3 . . . . . . . . divide by 0.75^x
x > log(3)/log(1.2) . . . . . . . . take logs, divide by log(1.2)
x > 6.025685
It will take about 6.03 years for the Honda to be worth more.
The function I = $19n represents the amount of income from ticket
sales for a single theater performance. The letter n represents the
number of tickets sold. The theater's maximum capacity is 400
people. What is a reasonable domain for this function?
The function I = 19n is a linear function
The reasonable domain of the function is [0,21]
How to determine the domain?The function is given as:
I = 19n
The smallest value of n is 0 i.e. the smallest number of ticket sold is 0
The maximum capacity is 400.
So, we have:
19n = 400
Divide both sides by 19
n = 21.05
Remove the decimals
n = 21
Hence, the reasonable domain of the function is [0,21]
Read more about domain at:
https://brainly.com/question/1770447
check please :D
12345678901234567890
Answer: All but one was right
1. 0 (correct)
2. 34 (correct)
3. 398 (correct)
4. -350 (correct)
5. 20 (correct)
6. 200 (wrong)
7. 48 (correct)
8. -1000(correct)
9. 150 (correct)
10. -55 (correct)
Step-by-step explanation:
(2x5)x(9÷3)+4=10x3+4=30+4=34
4(25x8÷2)+3-5=4(200÷2)+3-5=4x100+3-5=400+3-5=403-5=398
-10x20-30(5)=-200-150=-350
5x10-30=50-30=20
4(50-20÷4)+20=4(50-5)+20=4x45+20=180+20=200
3x4(20÷5)=12x4=48
-20(50x2)+5(200)=-20x100+5x200= -2000+1000=-1000
20x5+70-20=100+70-20=170-20=150
-5+10x(-5)==5+-50=-55
Answer:
1. 0
2. 34
3. 398
4. -350
5. 20
6. 200
7. 48
8. -1000
9. 150
10. -55
Step-by-step explanation:
-2 + 5 - 3
3 - 3 = 0
----------------
2 × 5(9 ÷ 3) + 4
2 × 5(3) + 4
2 × 15 + 4
30 + 4 = 34
------------------
4(25 × 8 ÷ 2) + 3 - 5
4(200 ÷ 2) + 3 - 5
4(100) + 3 - 5
400 + 3 - 5
403 - 5 = 398
------------------
-10 × 20 - 30(5)
-200 - 150 = -350
-----------------
5 × 10 - 30
50 - 30 = 20
----------------
4(50 - 20 ÷ 4) + 20
4(50 - 5) + 20
4(45) + 20
180 + 20 = 200
--------------------
3 × 4(20 ÷ 5)
3 × 4(4)
3 × 16 = 48
----------------
-20(50 × 2) + 5(200)
-20(100) + 1000
-2000 + 1000 = -1000
----------------
20(5) + 70 - 20
100 + 70 - 20
170 - 20 = 150
----------------
-5 + 10(-5)
-5 + -50 = -55
------------------------
The only one I see wrong is "4(50 - 20 ÷ 4) + 20"
I hope this helps!
help!!
For what value of x is the value of the square of the binomial 2x +3
is 9 greater than the value of the square of the binomial 2x -3?
Answer:
x = 3/8
Step-by-step explanation:
The difference of the two squares can be found several ways. One way uses the "difference of squares" special form.
a² -b² = (a -b)(a +b)
For the given squares, this is ...
(2x +3)² -(2x -3)² = ((2x +3)-(2x -3))((2x +3) +(2x -3)) = 6(4x) = 24x
We want to find x that makes this difference be 9:
24x = 9
x = 9/24 = 3/8
For the value x = 3/8, the difference between the squares of the binomials will be 9.
Find the area of the rectangle.
l=10 in, w=7.5 in
Answer:
It should be 75 inches
Step-by-step explanation:
Anthony is six years older than Juntao. In three years' time, the ratio of Juntao's age to Anthony's age will be 2 : 5. How old is Juntao now?
ASAPPPPPPPPPPPPP!!!!!!!!
Answer:
73
Step-by-step explanation:
supplementary anges are equal to 180 so e is 180-107
Answer: 73∘.
Step-by-step explanation: With supplementary angles, the two angles have to add up to 180∘. According to the question, the measure of <F is 107∘. What we need to do is make <E and <F add up to 180∘. To do this, we can subtract 107∘ from 180∘ to find <E:
180∘ - 107∘ = 73∘, which means that <F is 107∘ and <E is 73∘, which both make 180∘.
Therefore, <E is 73∘.
Have a great day! :)
HELP: What is another name for Angle 1?
Answer:
it could be many answers but my guess is acute
Answer:
(3) We can also name an angle by placing any number or symbol at the vertex in the INTERIOR of the angle. So, angles can also be called angle 1 or angle 2 or angle 4, etc. Sides AB and AC of the given angle are actually rays.
Step-by-step explanation:
Leslie earned $12 Friday, $20 Saturday, and $56 Sunday selling bracelets. If she sold each bracelet for the same amount of money what is the most she could charge for each bracelet?
Answer:
$4
Step-by-step explanation:
12÷4=3
20÷4=5
56÷4=14
Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level. how much farther can addison see to the horizon? use the formula d = startroot startfraction 3 h over 2 endfraction endroot, with d being the distance they can see in miles and h being their eye-level height in feet. startroot 2 endroot mi 2 startroot 2 endroot mi 14 startroot 2 endroot mi 28 startroot 2 endroot mi
The addison see to the horizon at 2 root 2mi.
We have given that,Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level.
We have to find the how much farther can addison see to the horizon
Which equation we get from the given condition?[tex]d=\sqrt{\frac{3h}{2} }[/tex]
Where, we have
d- the distance they can see in thousands
h- their eye-level height in feet
For Kaylib
[tex]d=\sqrt{\frac{3\times 48}{2} }\\\\d=\sqrt{{3(24)} }\\\\\\d=\sqrt{72}\\\\d=\sqrt{36\times 2}\\\\\\d=6\sqrt{2}....(1)[/tex]
For Addison h=85(1/3)
[tex]d=\sqrt{\frac{3\times 85\frac{1}{3} }{2} }\\d\sqrt{\frac{256}{2} } \\d=\sqrt{128} \\d=8\sqrt{2} .....(2)[/tex]
Subtracting both distances we get
[tex]8\sqrt{2}-6\sqrt{2} =2\sqrt{2}[/tex]
Therefore, the addison see to the horizon at 2 root 2mi.
To learn more about the eye level visit:
https://brainly.com/question/1392973
Answer:
2 root 2mi.
Step-by-step explanation:
Edge2020
If the figures below are similar, find the scale factors
HELP PLEASE
Answer: 3:2 and 2:3
Step-by-step explanation:
Scale factor is image/preimage.
So from A to B, the image is B and the preimage is A, so the scale factor is 6/4 = 3/2.
Similarly, from B to A, the scale factor is 4/6=2/3