Answer:
V≈2,080cm^3 Hope I helped :)
Step-by-step explanation:
The volume of a cone of radius r and height h is:
V=1/3πr^2h
Since the circumference of Cam's head is 56
2πr=56
r=56/2π
r=28/π
The volume of the hat is therefore:
V=1/3π(28/π )^2(25)
V=1/3((28)^2/π)(25)
V=1/3(19,600/π)
V≈2,080cm^3
The volume of the Cam's hat measured in cubic centimetres is 2081 cm³
Volume of a cone:The volume of a cone is as follows:
v = 1 / 3 π r²hwhere
h = height
r = radius
The circumference of the part of his head where the hat will rest is 56 cm. Let's find the radius
circumference = 2πr56 = 2 × π × rr = 28 / πh = 25 cm
V = 1 / 3 × π × (28 / π )² × 25
V = 1 / 3 × π × 784 / π² × 25
V = 19600 / 3π
V = 19600 / 9.42
V = 2080.67940552
V ≈ 2081 cm³
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Find the value of x
Answer:
98
Step-by-step explanation:
Angles in a triangle: 180
Supplementary Angles: 180
180-122=58
58+24=82
180-82=98
Solve the system of equations:
y = x + 2
y= x2 + 5x + 6
A. (0,2)
B. (-2,0)
C. (0, 2) and (2, 4)
O D. (-2,0) and (-3,0)
SUBMIT
The solution for equation is at (-2, 0).
What is linear equation?
When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."
Both linear equations with one variable and those with two variables exist.
Given equations,
y = x + 2
y = x² + 5x + 6
substitute value of y in second equation
x + 2 = x² + 5x + 6
x² + 4x + 4 = 0
x² + 2x + 2x +4 = 0
x(x +2) + 2(x + 2) = 0
(x + 2)(x + 2) = 0
x = -2
and y = x + 2
y = -2 + 2 = 0
Hence, the solution of equation is at x = -2 and y = 0.
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The volume of prism A is 60 cubic units, and the volume of prism B is half the volume of prism A. What is the value of a?
Answer:
5
Step-by-step explanation:
V= Bh
volume of figure A is 60, and the volume of figure B is half.
figure B:
B= 3*4
B= 12
60=12*h
5=h
the value of a is 5.
The value of a in the prism is 3 units.
What is prism?In three-dimensional space,
a prism is a polyhedron where two ends are similar.
Given:
The volume of prism A is 60 cubic units,
and the volume of prism B is half the volume of prism A.
The base area of the prism B is 20 square units.
The volume of the prism,
V = Ba, where B is the base area and a is the height.
So,
60 = 20a
a = 3 units
Therefore, the value of a is 3 units.
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The complete question:
The volume of prism A is 60 cubic units, and the volume of prism B is half the volume of prism A. The base area of the prism B is 20 square units.
What is the value of a?
simplify 6*3+4+2*3(15)+*2
Answer:
114.
Step-by-step explanation:
remove parenthesis multiply the numbers 6 x 3 + 1818 + 4 + 2 x 3 x 15 + 2
multiply the numbers 2 x 3 x 15 + 90
18 + 4 + 2 + 90 + 2
add the numbers : 18 + 4 + 2 + 90 + 2
= 114!
plzzz help me i will mark you as brainliest
Answer:
10/12
Step-by-step explanation:
6*2=12 so
5*2=10
What is the smallest prime that is a factor of the sum 51 + 1?
Answer:
2
Step-by-step explanation:
51+1 = 52
Since 52 is even, obviously the answer is 2.
Hope this helps.
Good Luck
3:15=12:60 then find the sum of the mean
Answer:
The means of the proportion 3/15 = 12/60 are 15 and 12. The means of the proportion 3/15 = 12/60 are 15 and 12
A scale drawing of a room is shown below. In the drawing, the room is 7 1/2 inches long and 5 inches wide. What is the actual area of the room? Please help
Answer:
The area of the room is 37.5 square inches.
Step-by-step explanation:
Consider that the room is rectangular in shape.
The dimensions of the rooms are:
Length (l) = 7.5 inches
Breadth (b) = 5 inches
The area of a rectangle is:
Area = l × b
Compute the area of the room as follows:
Area = l × b
[tex]=7.5\times 5\\=37.5[/tex]
Thus, the area of the room is 37.5 square inches.
the probability of rolling factors of 6 on both dice
Answer:1/6
Step-by-step explanation:
Factor the gcf 15m^3+24m^2+25m+40
Answer:
Step-by-step explanation:
3m^2(5m+8) + 5(5m +8)
(3m^2+5)(5m+8)
A ball is kicked from an initial height of 2.5 feet with an initial velocity of 45 feet per second. The function ƒ(x) = −16x^2 + 45x + 2.5 models its
path, where x is the time (in seconds) the ball travels and ƒ(x) is the height (in feet) the ball is kicked. What is the height of the ball 2 seconds after it is kicked?
Answer:
28.5 ft
Step-by-step explanation:
The height of a ball is given by the equation ƒ(x) = −16x² + 45x + 2.5 where x is the tome the ball travels. To find the height of the ball after a seconds, we substitute a in place of x, the equation becomes:
ƒ(a) = −16a² + 45a + 2.5.
Therefore if the height of the ball is needed to be found after 2 seconds, we find f(2).
ƒ(2) = −16(2)² + 45(2) + 2.5 = -64 + 90 + 2.5 = 28.5 ft
f(2) = 28.5 ft
What is the equation, in point-slope form, of the line that is
perpendicular to the given line and passes through the
point (-4, 3)?
y-3 = -2(x + 4)
Y-3 = -
2(x+4)
y-3 = {(x + 4)
Y-3 = 2(x + 4)
Answer:
y=1/2x+5
Step-by-step explanation:
the perpendicular line equation's slope is a negative reciprocal, so the new equation's slope is 1/2. so now you have y=1/2x+b plug in (-4,3) to find b. so you will do 3=1/2(-4)+b. 3=-2+b and then you solve for b. you would get b=5. so, the new equation is y=1/2x+5
Which object shown below could we slice perpendicular to its base/face to create a trapezoid cross-section
Answer:
B
Step-by-step explanation:
A car with 16 gallons of gas drives 416 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.
Please solve the question.
Answer:
a = 125°, b = 20°, c = 35°, d = 90°, e = 55°
Step-by-step explanation:
Quadrilateral PQRS is inscribed in a circle, therefore it is a cyclic quadrilateral.
PQ is diameter, SR is chord and PR is transversal such that:
PQ || SR... (given)
[tex] m\angle PRQ = 90°..(\angle \: inscribed \: in\: semicircle) \\
\huge \red {\boxed {\therefore d = 90°}} \\\\
m\angle RPQ= m\angle PRS .. (alternate \: \angle s) \\
\huge \purple {\boxed {\therefore c = 35°}} \\\\
In\: \triangle PQR, \\
c + d + e = 180°\\
35° + 90° + e = 180°\\
125° + e = 180°\\
e = 180° - 125°\\
\huge \orange {\boxed {\therefore e = 55°}} \\\\
a + e = 180°...(opposite \:\angle 's \: of \: cyclic \: quadrilateral) \\
a + 55°= 180°\\
a = 180°- 55°\\
\huge \blue {\boxed {a = 125°}} \\\\
In\: \triangle PSR, \\
a + b + 35°= 180°\\
125° + b + 35° = 180°\\
160° + b = 180°\\
b = 180° - 160°\\
\huge \pink {\boxed {b = 20°}}
[/tex]
100 students in a classroom like iPhone or Samsung or both of them. Out of them, 40 like both mobiles. If the ratio of the number of students who like iPhone and Samsung is 3:2, Find the number of students who like iPhone only.
Answer:
36 like iphone only
Step-by-step explanation:
You know that 40 people like both so you can already get them out of the way. That leaves you with 60 people and if we are dividing them into 5ths then 1/5 = 12 people. If the ratio is 3:2 then you can just multiply 3 x 12 to get 36 and then 2 x 12 to get 24 and that equals 60 and added to your 40 who like both, you get 100 students.
A triangular prism has a height of 9 m. The area of a triangular base measures 16 m². What is the volume of a triangular prism?
Possible answers are 15,60,72,144 cubic meters. What one is correct?
Answer:
144m^3
Step-by-step explanation:
A circular cardboard piece is needed for the base of a volcano model. The volcano is 46 centimeters tall and has a volume of 890 cubic centimeters. Which equation can be used to find the area of the circular base?
Answer: its A
sorry if im wrong
The equation 890 = 1/3 B(46) can be used to find the area of the circular base .
What is Area ?Area is the space enclosed within the perimeter of the given shape.
It is given in the question that Area of the base of a volcano has to be determined.
The structure of a volcano is that of a Cone
Area of a conical structure is given by
V = (1/3) * height * (radius)²
890 = 1/3 (radius)²(46)
V = 890 h = 46
area of a circle = π (radius)²,
890 = 1/3 B(46)
If B = (radius)²
Therefore Option D is the correct answer
890 = 1/3 B(46) equation can be used to find the area of the circular base .
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On a farm, 34 of each acre is planted with blue spruce trees. If there are 16 12 acres of trees on the farm, how many acres are planted with blue spruce trees?
Answer:
1209 acres
Step-by-step explanation:
On the farm, 3/4 of the acre is planted with blue spruce trees.
There are 1612 acres on the farm. Therefore, the number of acres planted with blue spruce trees is:
3/4 * 1612 = 1209 acres
Re-write the statement 19+7÷2×6+1 by including two pairs of brackets to make the total value equal to 2.
(19+7)(2×6+1)
Step-by-step explanation:
(19+7)/(2×6+1) = 2
26/13 = 2
2 = 2
Brainliest question please help me now plz
Answer:
B
Step-by-step explanation:
trust me bro i gotchu
What is the HIGHEST common factor
of the set of numbers (54, 72, 90}?
Answer:
18
Step-by-step explanation:
54/18=3
72/18=4
90/18=5
Answer:
18
Step-by-step explanation:
GCF of 54, 72, 90 is:
54÷3= 18
72÷4= 18
90÷5= 18
The GCF of 54, 72, and 90 is 18.
Verify sin^4x-sin^2x=cos^4x-cos^2x is an identity. Please dumb it down, i don't get this lesson.
Answer:
Step-by-step explanation:
cos^2+sin^2 = 1 ( rule)
cos^4x-cos^2x simplify
- cos^2( -cos^2 +1 ) -cos^2 common
or -cos^2 ( 1-cos^2)
since cos^2 + sin^2 = 1
substitute : -cos^2 ( sin^2 )
substitute : -(1-sin^2 ) ( sin^2)
multiply : -sin^2 + sin^4 or sin^4 - sin^2
it is verified that sin^4 -sin^2= cos^4-cos^2
hope it helps
Find the 22nd term in the arithmetic sequence -5, -9, -13, -17, -21
Answer:
-93
Step-by-step explanation:
it decreases by four every time, so take -4 times 22 and then subtract 5.
Sophie and Jackson are reading the same book. At the beginning of the month, Sophie was on page 20 and Jackson was on page 50. Sophie will read 10 pages per day and Jackson will read 5 pages per day. Let S represent the page of the book that Sophie is on at the end of t days into the month, and let J represent the page of the book that Jackson is on at the end of t days into the month. Graph each function and determine after how many days t Sophie and Jackson will be on the same page of the book.
Answer:
t = 6 days
Step-by-step explanation:
We can model both cases with linear equations in the form:
y = ax + b
Sophie was on page 20 and she reads 10 pages per day, so her equation is:
S = 20 + 10t
Jackson was on page 50 and he reads 5 pages per day, so his equation is:
J = 50 + 5*t
The graph of those equations are in the image attached (The blue line is for Sophie and the orange line is for Jackson)
To find after how many days they will be on the same page, we can make S = J and then find the value of t:
20 + 10t = 50 + 5t
5t = 30
t = 6 days
What else would need to be congruent to show that ABC= ADEF by AAS?
B
10
10
30"
30°7
A
С
D
•F
.
A. ZA ZD
B. ZA= 2C
C. AC = DF
O D. BC = EF
To show that ABC =DEF by AAS congruent postulate, (A) [tex]\angle A \cong \angle D[/tex]
How to complete the congruent postulate?The given parameters are:
AB = DE = 10
[tex]\angle C \cong \angle F = 30^o[/tex]
The above highlight show that one side and one angle of the triangle are congruent
To complete the AAS postulate, one other corresponding angle must be congruent.
From the figure, points A and D are corresponding points
Hence, to show that ABC =DEF by AAS congruent postulate, (A) [tex]\angle A \cong \angle D[/tex] must be true
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The reason needs to show the triangles are congruent by AAS is ∠A ≅ ∠D.
What are congruent triangles?Two triangles are said to be congruent if their corresponding parts are congruent with each other.
Given that, triangles ΔABC, and ΔDEF, need to be congruent by AAS rule,
∠C ≅ ∠F, AB = DE, we need to find one more reason,
AAS rule :-
AAS or Angle Angle Side congruence rule states that if two pairs of corresponding angles along with the opposite or non-included sides are equal to each other then the two triangles are said to be congruent.
So, the reason must be ∠A ≅ ∠D.
Hence, the reason needs to show the triangles are congruent by AAS is ∠A ≅ ∠D.
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Jacob wants to know the favorite sport among sixth grade students. Which types of survey below with give Jacob valid results?
A) randomly survey students in the middle school
B) randomly survey six grade students inside the football store
C) randomly survey six grade students inside the school cafeteria
D) randomly survey six grade students inside the tennis shop
Answer I think
:randomly survey six grade students in the school cafeteria
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Randomly surveying 6th graders in the school cafeteria would give jacob valid results because A wouldn't be reliable, because he just wants 6th graders, and B and D would be selective as it would be inside a football store, implying that most 6th graders in there would be tending towards football, and D would be inside a tennis shop, which would imply that most 6th graders there would prefer football. Therefore, the cafeteria would yield the most reliable results.
Tony and Tiffany collect semi-precious stones. At the rock hound hut, Tiffany paid $38 for 9 pounds of snowflake obsidian. At the solid rock shop, tony paid $19 for 3 pounds of the same type of the stone. Who made the better buy?
Answer:
Tiffany made the better buy
Step-by-step explanation:
Based on the information provided within the question it can be said that Tiffany made the better buy in this scenario. Mainly because Tiffany paid a less amount per pound than Tony did. This can be calculated by dividing the total amount each paid by the total amount each of them received, like so...
Tiffany: $38 / 9 = $4.22 per pound
Tony: $19 / 3 = $6.33 per pound
Therefore we can see that Tiffany paid $4.22 per pound and Tony paid $6.33 per pound a whole $2.11 more than Tiffany, thus making Tiffany purchase the better buy.
PLEASE HELP ASAP 100 PTS WILL MARK BRAINLYIEST If f(x) = (x + 7)^2, which of the following is g(x), based on the translation? g(x) = (x + 9)^2 g(x) = (x + 5)^2 g(x) = (x + 7)^2 + 2 g(x) = (x + 7)^2 − 2
Answer: g(x)=(x+7)²-2
Step-by-step explanation:
For this problem, you will need to know what each part fo the function does. You can see that g(x) is the bottom function and f(x) is the to function. F(x) has traveled down to -2. You know that the y-intercept is -2. The only answer choice with -2 as y-intercept is g(x)=(x+7)²-2.
Answer:
g(x) = (x + 7)^2 -2
Step-by-step explanation:
f(x) = (x + 7)^2
We are shifting the function down 2 units
f(x) -b where b is 2
g(x) = f(x) -2
g(x) = (x + 7)^2 -2
A 6.5 foot street sign casts a 10-foot shadow while a telephone pole casts a 40-foot shadow. How tall
is the telephone pole?
Answer:
26
Step-by-step explanation:
10 x 4 = 40
6.5 x 4 = 26
The height of the telephone pole is 26 foot.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Shadow of 6.5 foot street sign = 10 foot
Let the height of telephone pole = h foot
According to given condition,
Shadow of h foot telephone pole = 40 foot
Since, 10 foot shadow cast by 6.5 foot street sign
To find the height of the pole,
Use Ratio property,
10/6.5=40/h
⇒h=26 foot
The height of telephone pole is 26 foot
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