Answer:
Step-by-step explanation:
using formula
=
=3[tex]\sqrt{3}[/tex]/2*6^2
=108[tex]\sqrt{3}[/tex]/2
=54[tex]\sqrt{3}[/tex]
=93.5
Find the sum. Enter your answer in the box below as a fraction, using the slash mark (/) for the fraction bar. 7/17 + 9 /17
help me with this please
Step-by-step explanation:
y = -4x + 17
=> (4,1)
x=4 --> y = -4(4)+17=-16+17=1
(4,1) matched
=> (2,9)
x=2 --> y=-4(2)+17=-8+17=9
(2,9) matched
8 less that the product of 2 and a number is 16. find the number
Answer:
x=12
Step-by-step explanation:
2x-8=16(add a to both sides)
2x=24(divide by 2)
x=12
The volume of a cone is 763.02 cubic inches. The radius and height of the cone are equal. What is the radius of the cone?
Answer:
The radius of the cone is 9cm
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
We were told that the radius r and the height h are equal
I.e r=h
Substituting h=r in the formula we have
V= 1/3(πr²*r)
V =1/3(πr³)
To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)
763.02= 1/3(3.142r³)
763.02= (3.142r³)/3
763.02*3=3.142r³
2289.06=3.142r³
r³=2289.06/3.142
r³= 728.54
r= ³√728.54
r= 8.99cm
≈r= 9cm
hope this helps
$3840 with a discount of 10%
Answer: 384
Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.
Answer:
$3840
Step-by-step explanation:
10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price, 3840-384=3456. So 3456 is the final price after including the 10% discount.
If the volume of a rectangular
prism is 315 cubic meters and
the area of the base is 45
square meters, then what
is the height of the prism?
7
because the answer is 7
Please help. Find the two missing sides and write your answer as in simplified radical form.
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 4 kilometers, and the eastbound car has traveled 3 kilometers. Measured in a straight line, how far apart are the two cars?
Answer:
The distance between them is 5km
Step-by-step explanation:
Given
[tex]Car\ A =4km[/tex]
[tex]Car\ B =3km[/tex]
Required
Distance between them
The scenario can be represented with the attached image
The distance between them is then calculated using Pythagoras theorem
[tex]d^2 = 4^2 +3^2[/tex]
[tex]d^2 = 16 +9[/tex]
[tex]d^2 = 25[/tex]
Take square roots of both sides
[tex]d = \sqrt{25[/tex]
[tex]d = 5[/tex]
I need help, and a step by step explanation! :)
Answer:
90°
Step-by-step explanation:
There is no work. We know the right angle in the triangle and the x are supplementary. Meaning, they add up to 180 degrees. Therefore, 180-90 = 90. Think of it as a full triangle. If the 40 at the top was not half, but a full triangle, the 40 at the top would become 80. The 50 in the bottom left would mean there would be a 50 in the bottom right when you mirror the triangle. Therefore, you also need x to be 90 to make it a right triangle.
Pls answer quick I need this for an assignment
Answer:
[tex]4(x+3)=4(x-3)[/tex]
It is equivalent to an equation that has the same variable terms but different constant terms on each side of the equal sign.
What is the slim of the fractions? Use the number line to help find the answer.
3/5 + (-7/5)?
Answer in the 10-1 quiz intro to circles, central angles, arcs, and chord
Answer:
1.5
Step-by-step explanation:
The answers are given in the solution below.
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given is topics related to circle and its part we need to answer the question asked,
1) to 7) Given is a circle T,
a) Radius = TS, QT and RT all are the radius
b) Diameter = QS
c) Chord = PS
d) Central angle = ∠ RTQ
e) Minor arc = arc QR
f) Major arc = arc QSR
g) Semicircle = QPS
8) to 9) :-
a) Circle with radius 18 in :-
Circumference = 2π×radius = 2×3.14×18 = 113.04 in
Area = π·radius² = 3.14×18² = 1017.36 in²
b) Circle with diameter 25 m :-
Circumference = 2π×radius = 2×3.14×12.5 = 78.5 m
Area = π·radius² = 3.14×12.5² = 490.625 m²
10) The circle is having an area of 201.06 cm², we need to find the circumference and diameter,
Area = π·radius² = 201.06 cm²
radius² = 201.06 / 3.14
= 64
radius = 8 cm
Diameter = 16 cm
Circumference = 2π×radius = 2×3.14×8 = 50.24 cm
11) :-
Circle with radius P :-
The rule we will use here is :- arcs equal to central angle opposite to it, and full circle measures 360°
a) ∠ KPL = 90°
So, by linear pair sum, ∠ NPL = 90°
Now, by angle substitution law, ∠ NPM + ∠ MPL = 90°
∠ NPM = 27°
By using vertical angles rule, ∠ JPK = ∠ NPM = 27°
Therefore, arc JK = 27°
b) arc NJ = 180° - 27° = 153°
c) arc JL = 90°+27° = 117°
d) arc KNM = 360°-(90°+63°) = 207°
e) arc MJL = 360°-63° = 297°
f) arc JLK = 360°-27° = 333°
12) :-
arc CD + arc AD = 180°
Therefore,
19x-49°+5x+37° = 180°
24x-12 = 180°
24x = 192°
x = 8
Therefore,
arc CD = 5x+37 = 74°
13) :-
Length of an arc = central angle / 360° × 2π×radius
= 232° / 360° × 2 × 3.14 × 5 = 20.23 mm
14) :-
= 73° / 360° × 2 × 3.14 × 14.5 = 18.46 ft
Learn more about circles, click;
https://brainly.com/question/29142813
#SPJ2
a.) what was the scale factor of the dilation
b.) Based on the scale factor, how many copies of ABCD, including the original, should fit inside A’ B’C’D?
Answer:
A. The scale factor is three.
B. Nine copies of ABCD could fit in A'B'C'D'.
Step-by-step explanation:
Hope this helps! Have a nice day! Let me know if you need an explanation!
what is 34 + 3 ⋅ 5 = ____.
please please help 35 points
Answer:
49
Step-by-step explanation:
34 + 3 * 5
34 + 15
49
have a good day! :)
Answer:
49
Step-by-step explanation:
34+15
what is 2,36+5,4-3,47 equal to
Answer:
4.29
Step-by-step explanation:
Calculate AC
Round to the nearest tenth.
Answer:
3,266.53
Step-by-step explanation:
i looked it up :)
Answer:
AC = 11.4
Step-by-step explanation:
6/sin 23 = AC/sin 132
6 sin 132/sin 23 = AC
AC = 11.4
please help me... :(
For parts 1 and 2, you'll need to find a way to gather these data points, either by measuring them yourself or by asking your friends. Another option is to search out "Census at School", with quotes, and it will lead you to spreadsheets of data on this sort of thing (that some researchers have already done previously).
In short, the answers to parts 1 and 2 will vary depending on what the actual data values you collect. So I'm not much help here in this case.
============================================================
Part 3
Part A
In this case, we have x = 17 as the length of the person's forearm in inches. We'll plug it into the given regression equation to find an estimate of y
y = 0.860x + 3.302
y = 0.860*17 + 3.302
y = 14.62 + 3.302
y = 17.922
The person's foot is approximately 17.922 inches long
Rounding to the nearest whole number, this is approximately 18 inches
Note: 18 inches = 12 in + 6 in = 1 ft, 6 in = 1.5 ft
------------------
Part B
Unfortunately I can't help with this part either because I don't know what data set you're working with. So it all depends on how you do parts 1 and 2. You shouldn't get the same exact values, but you should get close to the average.
A business wants to try out two new shampoo brands (brand A and brand B) on customers who use the business's existing shampoo brand. The best method for this study is
.
Answer:
B) Experiment
Step-by-step explanation:
Answer:
Experiment
Step-by-step explanation:
PLATO
Yuki just bought a big-
screen TV set. The
screen has a diagonal
measure of 40 in. If the
screen is 32 in. wide,
how high is it?
Answer:
24 I think..
Step-by-step explanation:
a^2 + b^2 = c^2
32^2 + b^2 = 40^2
b^2 = 1600 - 1024
b^2 = 576
b = 24
If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in simplest radical form
Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]
Step-by-step explanation:
Given
[tex]\cos a=\dfrac{5}{9}[/tex]
[tex]a[/tex] lies in the fourth quadrant
So, sine must be negative in the fourth quadrant
Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value
[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]
[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]
PLEASE HELP!!!!!!!!!
Answer:
if I had to guess I whould say i
A rectangle has an area of 96 in2. The rectangle's base is 4 in. What is the height of the rectangle?
A. 384in
b. 24in
c. 92in
d. 100in
Answer:
B. 24
Step-by-step explanation:
Formula for area of a rectangle: base × height/ length × width
To find the height, divide the area by the base.
[tex]96/4=24in[/tex]
[tex]formula=base *height/length*width[/tex]
[tex]4*24=96in^2[/tex]
If a box has 5 red, 3 green, and 4 blue jelly beans, then what is the probability of choosing
at random a red jelly bean?
7/12, 5/12, 1/12, 2/7
Answer:
2/7
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
All the beans are equally likely to be chosen, so the bottom (denominator) of the fraction is 12 (there are 12 beans in the box).
The numerator is 5 because that's the number of red beans in the box.
For each given sequence: write down term to term rule and position to term rules 2,5,8,11,14
Answer:
Tn = 3n + 1
Step-by-step explanation:
The given sequence 2,5,8,11,14 is an arithmetic sequence
The nth term of an arithmetic sequence is expressed as;
Tn = a + (n-1)d
a is the first term
d is the common difference
n is the number of terms
Given
a = 2
d = 5-2 = 8-5 = 3
Substitute into the formula
Tn = 2 + (n-1) * 3
Tn = 2 + 3n - 3
Tn = 3n + 1
This gives the term rule for the sequence
Find the value for x
Answer:
Value of x --> 15°
Step-by-step explanation:
(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.
---> (2x + 60°) + 6x = 180°
2x + 60° + 6x = 180°
8x + 60° = 180°
8x = 180°- 60°
8x = 120
x = [tex]\frac{120}{8}[/tex]
x equals 15°You want to make a retangular prism out of carboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot. What is the surface area of the rectangular prism? How much will it cost to make teh retangular prosm out of cardboard?
Answer:
a) 24 square feet
b) $12
Step-by-step explanation:
You want to make a retangular prism out of cardboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot.
a) What is the surface area of the rectangular prism?
Length × Width × Height
3 feet × 4 feet × 2 feet
= 24 square feet
b).How much will it cost to make the rectangular prism out of cardboard?
1 ft² = $0.5
24 ft² = x
Cross Multiply
x = 24ft² × $0.5/1 ft²
x = $12
It would cost $12 to make the rectangular prism out of the cardboard. You do not have sufficient money to make it
URGENT PLEASE HELP ME !!!!
Step-by-step explanation:
2x + (x + 96) = 180
3x + 96 = 180
3x = 84
x = 28
Therefore,
angle 1 = 2x = 58°
angle 2 = x + 96 = 124°
The circumference of the circular table on Beverly's porch is 72n inches. What is the radius of the table?
Answer:
11.46 inches
Step-by-step explanation:
C = 2πr
72 = 2(3.14)r
r = 72/6.28
r = 11.46
is (-7,2) a point on the line?
Answer:
what line i swear if u tell me i can answer just comment
Step-by-step explanation:
Plssss help me cuhhh
Answer:
i believe your answer is C. Rectangle
Step-by-step explanation:
I hope this helps! :D
maybe consider brainliest?