Answer:
1.024 cm
Step-by-step explanation:
volume of Sphere is given by; V=4/3(πr³).
by making r subject of formula, the equation for r is;
r=³√(3v)/4π
given from question that V=4.5cm³, π=3.14, substituting the values in the equation for r,
we have that;
r=³√[3(4.5)]/[4(3.14)]
r=1.024 cm ( 2 significant figures?
In a right triangle, angle θ has a cosine value of 0.755. The side adjacent to angle θ has a length of 51.5 mm. What is the length of the hypotenuse of the triangle?
68.2 mm
38.9 mm
92.5 mm
41.0 mm
Answer:
I got that it was 68.2mm.
Step-by-step explanation:
Option A is correct, the length of the hypotenuse of the triangle is 68.2 mm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. That is:
cos(θ) = adjacent/hypotenuse
We know that cos(θ) = 0.755 and the length of the adjacent side is 51.5 mm.
Let's denote the length of the hypotenuse by "h".
Then we can solve for "h" as follows:
cos(θ) = adjacent/hypotenuse
0.755 = 51.5/h
h = 51.5/0.755
h = 68.21 mm
Therefore, the length of the hypotenuse of the triangle is approximately 68.2 mm.
To learn more on trigonometry click:
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Stem-and-leaf plots provide a way to graphically compare data, unlike histograms. However, they are more difficult to construct. B. Stem-and-leaf plots can compare quantitative data to qualitative data, unlike histograms. However, they are not very useful for large data sets. C. Stem-and-leaf plots are easier to make and can contain more information than histograms. However, they are not very useful for large data sets. D. Stem-and-leaf plots are more useful for large data sets and can display more information than histograms. However, they are more difficult to construct.
Question:
Discus the advantages and disadvantages of histograms versus stem-and-leaf plots
Answer:
C. Stem-and-leaf plots are easier to make and and can contain more information than histograms. However, they are not very useful for large data sets
Step-by-step explanation:
A stem and leaf plot is a graphical presentation of quantitative data similar to an histogram. However, a stem and leaf plot retains and present the values of the original in the data set such that individual data values can be seen and can then be used to make analysis
The stem and leaf plot consists of a stem and a leaf arranged in the order of place value, such that the numbers having a common highest place value are arranged on a row in a stem and leaf plot and therefore a stem and leaf plot is easier to make or construct than an histogram
However, it is very rare to find stem and leaf plots having more than 50 datasets or observations.
Martin is interested in the effects of different kinds of instruction on videogame performance. Martin asks 30 college freshmen to each play 1 hour of Ratchet and Klank. Participants are randomly assigned to one of three instruction groups: (1) complete the tasks as quickly as possible, (2) conserve as much health as possible (i.e., play more carefully), or (3) find gold bolts (worth lots of money in equipment and ammunition). Obviously, even in a single instruction group, not all players will obtain the same final score. These differences in an instruction group reflect:
Answer:
Between - groups variance
Step-by-step explanation:
From the question we see that the college freshmen are assigned to one of the three given groups. This means that they are exposed to different experimental conditions and thus it means that the variation differs as a result of different experimental conditions between the groups.
Thus, these differences reflect between - group variance.
What is the slope of the line?
Answer:
the slope is 7/4
Step-by-step explanation:
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12
if someone can please answer the question in the picture thatd be great
Answer:
≈ 20.8 ft
Step-by-step explanation:
A right triangle is formed between the wall, the ground and the ladder.
The ladder is the hypotenuse , the wall and ground are the legs.
let h be the height of the wall, then using Pythagoras' identity
h² + 33² = 39²
h² + 1089 = 1521 ( subtract 1089 from both sides )
h² = 432 ( take the square root of both sides )
h = [tex]\sqrt{432}[/tex] ≈ 20.8 ft ( to the nearest tenth )
A new car is purchased for $17300. The value of the car depreciates at 9.25%
per year.
IS THIS EXPONENTIAL OR DECAY????? Help
Answer:
Exponential
Step-by-step explanation:
b) Describe how to convert from the vertex form to standard form.
Answer:
go on MATH.WAY. it'll give you the answer and explanation. hope it help
Step-by-step explanation:
:)))
Evaluate f(8): SHOW ALL YOUR WORK
f(x) = x2 – 4
Answer:
60
Step-by-step explanation:
substitute x=8
f(8)=(8)2-4=60
Answer:
60
Step-by-step explanation:
f(x) = x² - 4
f(8) = (8)² - 4 = 64 - 4 = 60
Work out the value of x.
Answer:
x = 15
Step-by-step explanation:
180 = 90 +4x +2x
90 = 6x
15=x
One angle of a right measures 79°. What is the measure of the other acute angle?
Answer:
11
Step-by-step explanation:
Sum of all angles = 180
Right angle = 90
Acute angle = 79
90+79 =169
180 -169 = 11
Answer:
11 degrees
Step-by-step explanation:
a right angle = 90 degrees
90-79=11 degrees
Please help I NEED THE ANSWER IN THE NEXT 2 MINUTES
Answer:
6 bc yes
Step-by-step explanation:
Help please!!!!!!!!!!!!!!!!
Answer:
i cant see it
Step-by-step explanation:
Which expression is equivalent to 64y^18 - 1000z^6?
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Expression is equivalent to 64y¹⁸ - 1000z⁶ : (4y⁶)³- (10z²)³
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Solve the equation by factoring: 12y^3 – 13y^2 + 3y = 0
Answer:
y = 0, y = [tex]\frac{1}{3}[/tex], y = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
12y³ - 13y² + 3y = 0 ← factor out y from each term
y(12y² - 13y + 3) = 0
y(3y - 1)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y = 0
3y - 1 = 0 ⇒ 3y = 1 ⇒ y = [tex]\frac{1}{3}[/tex]
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]
Plz help me this is my last one and I’ll mark as brainliesttt!!
Answer:
That the object is moving
as time goes by the distant goes lower
Step-by-step explanation:
I think
Answer:
the object is moving forward with decreasing speed.
Step-by-step explanation:
I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.
Annually compoudning interest formula
PV(1+i)ⁿ
4000(1+.0775)¹⁰=8437.869021
which rounds to
$8437.87
If you were to do this on a financial calculator it would look like this:
N=10
I/Y=7.75
PV=4000
PMT=0
CMPT FV = same answer
HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{3}[/tex] = m
Step-by-step explanation:
So we can say;
Tan(30) = m/3
=> Tan(30) * 3 = m
=> [tex]\sqrt{3}[/tex] = m
Hope this helps!
Please help me it would mean the world. A lot of points!
The answer is 80cm^2 provided by my teacher I just need the work.
i need help with this
Answer:
(1,3)
Step-by-step explanation:
It is the intercept of the two lines
PLEASE HELP! FAST
Find the volume of the remaining solid if the cylinder is removed from the center of a right rectangular prism. The diameter of the cylinder is 3 feet. Use 3.14 for pu and round to the nearest tenth if needed.
Escribir un 1% como decimal
Answer:
0.01
Step-by-step explanation:
1% = [tex]\frac{1}{100}[/tex]
0.01
taylor swift buys a set of guitar strings for £42.50. how much do 2 sets of guitar strings cost?
Answer:
it costs £85
Step-by-step explanation:
cost of 1 set of guitar strings = £42.50
cost of 2 set of guitar strings = £ (42.50 × 2)
= £85
PLZ HELP EMERGENCY!!Find the total area of the figure below. Round your answer to the nearest tenth.
Answer:
area = 63.25 m²
Step-by-step explanation:
area of triangle = 1/2 x 6 x 8 = 24 m²
area of semi circle = 1/2 x 3.14 x 5² = 39.25 m²
total area = 24 + 39.25 = 63.25 m²
Can someone please help me with math.
Answer:
11) C
14) B
Step-by-step explanation:
11) find the y-int (4) and slope (-4)
14) Complete the pattern for the table 4-20 ; 5-25 and for the graph, look for the y value when x is at 5 (20) so NY will have more snowfall.
Obtuse can have right angles.
True or False
False. Obtuse is always greater than 90°.
Answer:
False
Obtuse triangles can't have right angles
Solve equation.
2x-5=-3+2x
Answer:
x = 2
Step-by-step explanation:
Carter's last ten shot put distances, in meters,are shown in the list 20.24, 20.11, 19.95, 19.99, 20.02, 19.88, 19.97, 20.21, 20.07 move words to the blanks to describe the measure of variability for this data set
Answer:
mad symmetric without
Step-by-step explanation:
A teacher asks five different students to write an equation with a solution of x = 4. The students and their equations are shown below.
Student Adrian Bert Camille Daniel Etsuko Equation 2x + 6 = 2 2x-9 = -1 - 2x + 12 = 4 2(x + 2) = 10 2(x - 10) = -12
Which of the following students correctly wrote an equation with x = 4 as the solution? Select three that apply.
A. Bert
B. Daniel
C. Etsuko
D. Adrian
E. Camille
Answer:
I'm assuming the order corresponds the student to the equation. Because of this, the answer is simple:
Bert, Etsuko, and Camille.
Step-by-step explanation:
2x-9=-1, 2x=8, x=4
2(x-10)=-12, x-10=-6, x=4
-2x+12=4, -2x=-8, x=4
Middle school math ! Plz help!!
Answer:
x < 11
Step-by-step explanation:
-9x + 40 > -59
Subtract 40 from each side.
-9x > -99
Divide by -9 on each side. (flip the symbol)
x < 11