Answer:
The temperature is: 14.5 degrees
Step-by-step explanation:
Given
[tex]T = 4 \cos(30(t - 8)) + 16[/tex]
Required
The temperature at 4:15
We have:
[tex]t = 4:15[/tex]
Convert to hours
[tex]t = 4+\frac{15}{60}[/tex]
[tex]t = 4+0.25[/tex]
[tex]t = 4.25[/tex]
So:
[tex]T = 4 \cos(30(t - 8)) + 16[/tex]
[tex]T = 4 \cos(30(4.25 - 8)) + 16[/tex]
[tex]T = 4 \cos(30(-3.75)) + 16[/tex]
Open bracket
[tex]T = 4 \cos(-112.5) + 16[/tex]
[tex]T = 4 *-0.3826 + 16[/tex]
[tex]T = -1.5304 + 16[/tex]
[tex]T = 14.4696[/tex]
Approximate
[tex]T = 14.5^o[/tex]
Lira plays on a basketball team where all the uniform numbers are multiples of 4
Part A
If the least jersey number is 12, what are the next 4 possible jersey numbers?
A 4,8,12,16
B 8 12 16
C12, 15, 18, 21
D 16, 20, 2420
Part 3
Basketball jersey numbers are always 55 or less
What is the greatest possible jersey number for Lira's team? Enter your answer in the box
please help. It’s due tomorrow.
Answer:
It is assumed you need to find the area of shaded region.Results rounded to the nearest hundredth.#1
Shaded area:
A = 32² - 16*π*(32/8)² = 219.75 cm²#2
Shaded area:
A = π*2² - 2*π*(2/2)² = 6.28 cm²219.75cm²
3.14cm²
Answer:
Solution given:
1.
[r]radius of each circle =32/8=4cm
[l]length of square=32cm
Area of shaded region =area of square- area of 16 circle=l²-11*πr²=32²-16*π*4²=219.75cm²
Step-by-step explanation:
radius for big circle [R]=2cm
radius for small circle [r]=1cm
area of shaded region=area of big semi circle -2 area of semi small circle
=½πR²-2*½πr²
=½*π*2²-π*1²
=2π-π
=π=3.14cm²
Express 3/10 as a decimal
Answer:
0.3
Step-by-step explanation:
When we divide by 10, we want to imagine a decimal point going up a place.
Think of it like this:
03.0
When we divide by 10, the decimal goes up a digit:
0.30 or 0.3
The frequency of vibration (f) of a string varies directly as the square root of the tension (T) and inversely as the length (L) of the string. If the frequency is 60 vibrations per second with the tension is 121 lb and the length of the string is 12 feet, find the frequency with the tension is 81 lb and the string is 9 feet.
Answer:
[tex]f = \frac{720}{11}[/tex]
Step-by-step explanation:
Given
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex] --- The variation
[tex]f = 60; T = 121; L = 12[/tex]
Required
Find f, when T =81; L = 9
We have:
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex]
Express as equation
[tex]f = k\frac{\sqrt T}{L}[/tex]
Make k the subject
[tex]k = \frac{fL}{\sqrt T}[/tex]
When [tex]f = 60; T = 121; L = 12[/tex]
[tex]k = \frac{60 * 12}{\sqrt {121}}[/tex]
[tex]k = \frac{60 * 12}{11}[/tex]
[tex]k = \frac{720}{11}[/tex]
To solve for f, when T =81; L = 9
We have:
[tex]f = k\frac{\sqrt T}{L}[/tex]
[tex]f = \frac{720}{11} * \frac{\sqrt{81}}{9}[/tex]
[tex]f = \frac{720}{11} * \frac{9}{9}[/tex]
[tex]f = \frac{720}{11} * 1[/tex]
[tex]f = \frac{720}{11}[/tex]
Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t = 3y, where t=time (seconds) y= distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning?
Answer:
2 2/3 kilometers
Step-by-step explanation:
t = 3y
let t = 8
8 = 3y
Divide each side by 3
8/3 = 3y/3
8/3 = y
2 2/3 kilometers
Answer:
2 2/3 kilometers
Step-by-step explanation:
A zoo is creating a new exhibit that includes an aquarium in the shape of a right rectangular prism. The water level of the aquarium is 2/3 the height of the aquarium as shown. How much space, in cubic feet, in the aquarium does not contain water?
Answer:
[tex]Volume=56\frac{1}{4}[/tex] cubic feet
Step-by-step explanation:
Given
[tex]L =3\frac{3}{8}ft[/tex] --- Length
[tex]W =13\frac{1}{3}ft[/tex] --- Width
[tex]H =3\frac{3}{4}[/tex] --- Tank
[tex]Water\ level = \frac{2}{3}[/tex]
Required
Space not covered with water
If the water level is:
[tex]Water\ level = \frac{2}{3}[/tex]
Then the empty space is:
[tex]Empty = 1 - Water\ level[/tex] --- Complement rule
[tex]Empty = 1 - \frac{2}{3}[/tex]
Take LCM
[tex]Empty = \frac{3-2}{3}[/tex]
[tex]Empty = \frac{1}{3}[/tex]
So, the volume of the empty space is:
[tex]Volume=L*W*H*Empty[/tex]
[tex]Volume=3\frac{3}{8} *13\frac{1}{3}*3\frac{3}{4}*\frac{1}{3}[/tex]
Express fraction as improper fraction
[tex]Volume=\frac{27}{8} *\frac{40}{3}*\frac{15}{4}*\frac{1}{3}[/tex]
Simplify
[tex]Volume=\frac{9}{8} *\frac{40}{3}*\frac{15}{4}[/tex]
Simplify
[tex]Volume=\frac{3}{8} *\frac{40}{1}*\frac{15}{4}[/tex]
Simplify
[tex]Volume=\frac{3}{1} *\frac{5}{1}*\frac{15}{4}[/tex]
[tex]Volume=\frac{3*5*15}{4}[/tex]
[tex]Volume=\frac{225}{4}[/tex]
[tex]Volume=56\frac{1}{4}[/tex]
Find the value of x.
B
6
X+1
D
E
С
A
x = [?]
Answer:
x = 2
Step-by-step explanation:
Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{6}{x+1}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
6x = 4(x + 1)
6x = 4x + 4 ( subtract 4x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Find c. Determine it from the choices below.
Answer:
12 centimetres
Step-by-step explanation:
I looked it up
a windowpane is 5.7 Inches by 7.1 inches. what is the distance between opposite corners of the windowpane? if necessary, round to the nearest tenth
Answer:
the distance is 9.1 inches (please give brainliest)
Step-by-step explanation:
we must use the pythagorean theorem:
5.7^2 + 7.1^2 = c^2
(c being the distance being the two corners)
c^2 = 82.9
c = sqrt(82.9) ≈ 9.1
what is the answer pls help
Which is the correct way to calculate the area of a circle?
Answer:
Step-by-step explanation:
Answer:
You must find the diameter then half it, so the radius, and then multiply it by 3.14152
Step-by-step explanation:
Lj thank u so much for helping me
- 8 / 20 = y / - 4
y = - 4 × - 8 / 20
y = 4 × 8 / 4 × 5
y = 8 / 5
Find the volume of the problem
Answer:It's 1
Step-by-step explanation:
What is the missing number in the pattern? 4, ____, 18, 25, 32
Answer:
11 is the missing number
Answer:
the answer should be 11 your welcome
WILL MARK BRAINLIEST
Answer:
1 sample
Step-by-step explanation:
There is only one sample given for 20%
Answer:
the answer would be
b) 1 sample
-6y-18 this is really overdue and its hard for me so can someone help
Solve for x and then determine the measure of the exterior angle.
Answer:
x=25, 120
Step-by-step explanation:
The two angles form a straight line so they add to 180
60 + 4x +20 =180
Combine like terms
4x+80 = 180
Subtract 80 from each side
4x+80-80 =180-80
4x= 100
Divide by 4
4x/4 =100/4
x= 25
The exterior angle is
4x+20 = 4*25+20 =100+20 =120
Answer:
x=25, 120
Step-by-step explanation:
The two angles form a straight line so they add to 180
60 + 4x +20 =180
Combine like terms
4x+80 = 180
Subtract 80 from each side
4x+80-80 =180-80
4x= 100
Divide by 4
4x/4 =100/4
x= 25
The exterior angle is
4x+20 = 4*25+20 =100+20 =120
Someone pls help, its on trig ratios.
Answer:
[tex]BC=12.8,\\AC=15.1[/tex]
Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:
[tex]\tan 58^{\circ}=\frac{BC}{8}[/tex]
Solving, we get:
[tex]BC=8\tan 58^{\circ}\approx \boxed{12.8}[/tex]
Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.
[tex]\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}[/tex]
We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:
[tex]8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark[/tex]
Calista conducts a survey to determine the favorite activity of students at her middle school. She asks five seventh-grade girls who are in the school library what they like to do best, and since all of these students answer that their favorite activity is reading, Calista states that the favorite activity of students at her middle school is reading. Explain the flaw in Calista's reasoning. Describe a sampling method that would produce valid information about the favorite activity of students at Calista's middle school.
Answer:
gimme pints
Step-by-step explanation:
Solve for x.
0.5x+78.2=287
Answer:
x =417.6
Step-by-step explanation:
0.5x+78.2=287
Subtract 78.2 from each side
0.5x+78.2-78.2=287-78.2
.5x =208.8
Divide each side by .5
.5x/.5 = 280.8/.5
x =417.6
Please help!
From the table what are the x and y intercepts in coordinate form?
Answer:
(0,3) is the x intercept
(3,0) is the y intercept
Step-by-step explanation:
When it has 0 that means its directly on the line, since x is 0 on (0,3) that means the line is crossing the x intercept
The Lewis dot model of an atom has three dots. Which of the following statements is true about the atom?
It has three valence electrons.
It has three innermost shell electrons.
It has three energy levels.
It has three subshells.
The Lewis dot model of an atom has three dots. The statement that is true about the atom is it has three valence electrons. The correct option is A.
What is a Lewis dot model?Lewis dot model or Lewis structure is a method that was given by Gilbert N. Lewis. It was introduced in 1963. The model is made to put dots around the elements. These dots show the valence electron of the atoms. The model was extended by putting lines around the element.
If an atom has three dots around us, it means the element has three valence electrons. The element is lithium. Lithium has three electrons that are lone or valence, which means it can share and donate three electrons.
Thus, the correct option is A. It has three valence electrons regarding true about the atom.
Learn more about the Lewis dot model, here:
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PLEASE HELP I WILL MARK YOU BRAINIEST
(1) A chef uses 10 strawberries for each order of a certain dessert. At the end of the night, 300 strawberries have been used. How many of that dessert was ordered that night?
(2)A charity event is trying to raise $100,000 for cancer awareness. After the event is over, they earned $142,000.How much more did they earn than their goal?
Answer:
1. 30 desserts
2.42,000
Help me with C number please. Show me how did you do that. It’s due in 30 minutes.
Step-by-step explanation:
[tex]A = x^2-xy+y^2\\C =x^4+x^2y^2+y^4[/tex]
We will now divide C with A.
[tex]\frac{x^4+x^2y^2+y^4}{x^2-xy+y^2}[/tex]
Divide x^2, -xy, y^2. Remember that dividing exponents results in subtracting.[tex]x^4 / x^2 = x^2\\4 - 2 = 2[/tex]
So:
[tex]\frac{1}{x^2+xy+y^2}[/tex]
Did I get this right ?
Answer:
square root of 15 is the answer
Step-by-step explanation:
Add at least 2 ways people in this job use arts and music ( that job is a dancer btw)
Answer:
arts: movement and flexibility Music: communication and rhythm
can someone help me please?? i really appreciate it
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Answer:
In summary, the translation and scale factor are:
Translation: (x,y)↦(x+5,y+4)
Scale factor: 2
Step-by-step explanation:
Witch is greater 17% or 4/25
Answer: 17%
Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.
If you put $5,000 in an investment that earns 8% interest compounded continuously, how many years, rounded to the second decimal, will take it until you have $8,303.00?
Answer:
6.34 years
Step-by-step explanation:
Given data
Principal P=$5,000
Rate r= 8%
Final amount A= $8,303.00
The expression for the time will be
t= ln(A/P)/r
substitute
t= ln(8,303.00/5000)/0.08
t= ln(1.6606)/0.08
t= 0.507/0.08
t= 6.3375
Hence the time is about 6.34 years
2 Which table represents a function? X y X у 2 -3 -3 0 3 0 -2 1 4 -3 -3 2 2 1 2 3 (1) (3) х X у 1 2 AWNIK -4 1 2 1 NO 4. 1 5 4 6 (2) (4)
The only table that represents a function is the fourth option.
What is a function?
A function is a relation that maps elements from a set (domain) into elements of another set (range).
Such that each element from the domain can be mapped into only one element from the range.
In the table, the "x" values are from the domain, and the "y" values are from the range.
So, if you see a table with the same value of x being mapped into two different values of y, then that relation is not a function.
With that in mind, the only table that meets this property is table number 4.
If you want to learn more about functions, you can read:
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