Answer:
T.S.A = 233.29 cm²
volume of the cone = 235.84 cm³
Step-by-step explanation:
Given;
diameter of the cone, d = 9 cm
radius of the cone, r = 4.5 cm
slant height of the cone, l = 12 cm
The total surface of the cone is calculated as;
T.S.A = πr² + πrl
T.S.A = πr(r + l)
T.S.A = 3.142 x 4.5(4.5 + 12)
T.S.A = 233.29 cm²
The volume of the cone is calculated as;
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where;
h is height of the cone
h² = 12² - 4.5²
h² = 123.75
h = √123.75
h = 11.12 cm
[tex]V = \frac{1}{3} \pi \times (4.5)^2 \times 11.12\\\\V = 235.84 \ cm^3[/tex]
How many solutions does this have?
y=5x+-2
y=5--2x
Answer:
one solution (2.333, 9.6666)
Step-by-step explanation:
The ys have to be equal for there to be 1 solution. Let's see if they are. Equate the ys. - -2x becomes 2x
5x +-2 = 2x + 5 Write the left with 1 sign
5x - 2 = 2x + 5 Subtract 2x from both sides
2x 2x
3x - 2 = 5 Add 2 to both sides
2 2
3x = 7 Divide by 3
x = 7/3
x = 2 1/3
y = 5x - 2
y = 5(2 1/3) - 2
y = 11 2/3 - 2
y = 9 2/3
Please help me solve my problem!!!
Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges. Write a formula that will help her determine how much she will make in a week. Let's Let a= total amount earned, h= hours worked in one week, n= number of bouquets she arranged, and b= bonus amount for bouquets
Answer: a = 7.5h + bn
Step-by-step explanation:
Since Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.
where,
a = total amount earned,
h= hours worked in one week,
n = number of bouquets she arranged
b= bonus amount for bouquets
Then, the formula that will help her determine how much she will make in a week will be:
a = (7.5 × h) + (b × n)
a = 7.5h + bn
The formula is a = 7.5h + bn.
find the surface area and volume of each figure Write an equation for each of the following images giving brainliest i really need this please help
Answer:
1) S.A = 108, V = 72; 2) S.A = 68, V = 60; 3) S.A = 40, V = 58
Step-by-step explanation:
1) Surface area of a cuboid = 2(lb + bh + hl)
= 2(6*4 + 4*3 + 3*6)
= 2(24 + 12 + 18)
= 2*54
= 108 square units ------- (1)
Volume of a cuboid = lbh
= 6*4*3
= 72 cube units ----------- (2)
2) Surface area = (1) - specific surface area
Specific surface area
=2(2*6 + 6*1 + 2*1)
=2(12 + 6 + 2)
=2*20
=40 square units
Therefore surface area = 108 - 40 = 68 square units --------- (3)
Volume = (2) - specific volume
Specific volume
=l*b*h
=2*6*1
=12 cube units
Volume = 72 - 12 = 60 cube units ---------- (4)
3) Surface area = (3) - specific surface area
Specific Surface Area
2(2*4 +2*1 + 4*1)
2(8 + 2 + 4)
2(14)
28 square units
Surface area = 68 - 28 = 40 square units
Volume = (4) - specific volume
Specific volume
= 1*2*4
= 8 cube units
Volume = 60 - 8 = 52 cube units
I really hope that u understood all these shortcuts
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Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x - 2?
Answer:
I think it's 2 no. cause it has arrow/ like this and it is pointing- 2/3 so I think it can be wrong also so don't think I m wrong I'll help you in needs
given data 4,y,9,5,2,7 find y if the mode is 4
the mean is 5
the median is 6
Answer:
y = 3
Step-by-step explanation:
y , 2 , 4 , 5 , 7, 9
Mean = 5
[tex]\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3[/tex]
HELP PLZZ
What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 13
B. 7
C. 1.9
D. 9.5
Answer:
Step-by-step explanation:9.5
Which points are solutions to the system of inequalities shown below?
Check all that apply.
у< x
y< 5
X<4
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)
Answer:
A. (3,0)
D. (0,-1)
E. (2, 1)
Step-by-step explanation:
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)
у< x #############################
A. (3,0)
C. (6,2)
D. (0,-1)
E. (2, 1)
y< 5 ####################
A. (3,0)
C. (6,2)
D. (0,-1)
E. (2, 1)
X<4 ###################
A. (3,0)
D. (0,-1)
E. (2, 1)
Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.
What number should Carl replace y with?
Use the law of sines to find the measure of angle C.
Here, if you use the law of sines, you cannot find the measure of the required angle. But if you use the law of cosines, you will get the desired result.
The measure of the angle C of the given triangle is 43.61°
What is the law of cosines?According to the law of cosine, the square of any one side of a triangle is equal to the difference between the squares of the other two sides and double the product of the other sides and cosine angle added together between them. If AB, BC, and CA are lengths of the three sides of a triangle, then using the law of cosine, we can write
AB² = BC² + CA² - 2(BC)(CA)cos C.
How to solve this problem?Here, AB = 16, BC = 22, and AC = 21.
Now, 16² = 22² + 21² - 2 * 22 * 21 * cos C
i.e. 256 = 484 + 441 - 924 * cos C
i.e. 256 - 925 = - 924 * cos C
i.e. - 669 = - 924 * cos C
i.e. cos C = 669/924 = 0.724
i.e. C = cos⁻¹(0.724) = 43.61
Therefore the measure of the angle C of the given triangle is 43.61°
Learn more about law of cosines here -
https://brainly.com/question/4472157
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Sarah accepted a new job at a company with a contract guaranteeing annual raises. Sarah's salary after working for nn years can be determined using the equation S=90000+3500n.S=90000+3500n. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
Slope = 3500
Sarah's salary will increase by 3500 per year
Step-by-step explanation:
Given that Sarah's salary after working n years is given as :
S=90000+3500n
The equation given is similar to a linear equation :
y = bx + c ;
Where, b = slope of the linear equation
Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.
Slope is simply described as the rate of change, the change in y per unit change in x ;
Therefore, this means Sarah's salary will increase by 3500 per year
solve for x and y, round to one decimal place
Answer:
x=48
y=50
Step-by-step explanation:
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What measure is represented by 17 feet in the figure below?
A cylinder with diameter 17 feet.
the radius of the base
the diameter of the base
the area of the base
the height of the cylinder
Answer: The answer is the diameter.
Step-by-step explanation:
Answer:
diameter
Step-by-step explanation:
the diameter goes straight through the center of the circle
what is 200 + 30 - 60 + 70 - 20
Answer:
220
Use PEMDAS
Please help I’ll give brainliest
Answer:
2 is the base
Step-by-step explanation:
2^12
The 2 is the base and the 12 is the exponent
Find m angle f.
A. 88
B. 28
C. 62
D. 70
Point P (a, b), where neither a orbis equal to 0, is subject to the following operations, one after the other in any order:
reflection about the x-axis, reflection about the y-axis, reflection about the origin.
What will be the final position of point P?
Answer:
(a, b)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).
Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
The answer;
C. y>= 2
The choose ( C)
I have no clue Someone Please Help!!!!!
Answer:
D
Step-by-step explanation:
we have to see the value of y on x=-2
which is 2
so g(-2)=2
CAN ANYONE SOLVE THIS QUICK!
Answer:
52.8
Step-by-step explanation:
We take the midpoint of the range as, x
Midpoint = (lower + upper) /2
Midpoint, x ___ Frequency, F
15 ___________ 7
45 __________27
75 __________12
105 __________4
The mean :
Σfx / Σf
= [(15*7) + (45*27) + (75*12) + (105*4)] / (7+27+12+4)
= 2460 / 50
= 52.8
Help, please :)
I really appreciate if you help me with steps as well, thanks! <3
Answer:
Step-by-step explanation:
All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:
[tex]AL=\frac{\theta}{360}*2 \pi r[/tex] and filling in:
[tex]8.73=\frac{\theta}{360}*(2)(3.14)(10)[/tex] which simplifies to
[tex]8.73=\frac{62.8\theta}{360}[/tex] which simplifies a bit more to
[tex]\frac{360(8.73)}{62.8}=\theta[/tex] so
[tex]\theta=50.04[/tex] degrees. That means that arc DE also measures 50.04 degrees.
fine the value for the following
11 -12÷4+3 (6-2)
and
0÷21
Answer:
1. 20
2. 0
Step-by-step explanation:
1. 20
11 -12÷4+3 (6-2)
Brackets first
11-12÷4+3 x 4
Then division and multiplication
11-3+12
Subtraction next
8+12
Now addition
8+12=20
2. Anything divided by 0 is 0
HELP pls help me with this problem.
Answer:
8units
Step-by-step explanation:
area of a triangle=1/2base x height
1/2×4×4
2×4
8units
Match the probability to the word or phrase that best describes the probability.
1/4 the choices are certain, unlikely, likely, impossible, Equally likely.
0 the choices are certain, unlikely, likely, impossible, Equally likely.
5/10 the choices are certain, unlikely, likely, impossible, Equally likely.
100% the choices are certain, unlikely, likely, impossible, Equally likely.
75/100 the choices are certain, unlikely, likely, impossible, Equally likely.
if you can please please help
Help! these is 1 question this time and these are my last points! so please help this all I have to do today (DUE today) ty take ur time and have a great day luvs<3! (for people who can’t see clearly) ;Kelli has two pitchers of water. The blue pitcher holds 3 liters of water. The red pitcher holds 2,800 millimeters. Which pitcher has the greater liquid volume? How do you know?;
Answer:
The blue pitcher
Step-by-step explanation:
2,800 ML= 2.8 liters
could anyone help me with this?
Answer:
93.4 cm²
Step-by-step explanation:
Area of the shaded region = area of the square - area of half of the circle
Area of the shaded region = s² + ½(πr²)
Where,
r = 6.2 cm
s = length of square = diameter of circle = 2*r = 2*6.2
s = 12.4 cm
Plug in the values
Area of the shaded region = 12.4² - ½(π × 6.2²)
= 153.76 - 60.381411
= 93.378589
≈ 93.4 cm² (nearest tenth)
Paulo comprou 60 maçãs e 24 laranjas. Ele pretende organizar essas frutas em embalagens plásticas. Em cada embalagem plástica ele colocará apenas um tipo de fruta e na maior quantidade possível, para que todas as embalagens fiquem com a mesma quantidade de frutas. Qual a quantidade de embalagens plásticas que Paulo irá precisar para organizar essas frutas? 7. 12. 84. 120.
Responder:
7
Explicação passo a passo:
Obtemos o maior fator comum de ambas as frutas:
Apple = 60
Laranja = 24
Fatores de:
60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 e 60
24 = 1, 2, 3, 4, 6, 12 e 24
O maior fator comum é 12
Por isso,
Número de malas necessárias para:
Maçãs = 60/12 = 5
Laranjas = 24/12 = 2
Total de sacos plásticos necessários = 5 + 2 = 7
Two jackets have a combined cost of $98. Jacket a costs $12 less than jacket b. How much does each jacket cost?
Answer:
Jacket A costs 43$
Jacket B costs 55$
Step-by-step explanation:
According to the Question,
Given, Two jackets have a combined cost of $98. Jacket 'A' costs $12 less than jacket 'B'. Thus, if the jacket B Cost 'X' So, Jacket A costs 'X-12'.Therefore, Jacket A + Jacket B = 98
X-12+X = 98
2X = 110
X = $55 ( Cost of jacket B) & Cost of Jacket A is 55-12 = 43$ .
Math doesn't suit me; I have to cooperate with it.
Answer:
200 vs 230
$30
Step-by-step explanation:
PLEASE HELP IM SORRY THE PIC IS BLURRY I NEED TO PASS SUMMER SCHOOL
Aswer:
c represnt the function hope it helps you make me brainlest pls