Answer:
Slope = 4/9
Step-by-step explanation:
x1(-4,2)
x2(5,6)
Slope,
m = (y2-y1)/(x2-x1)
= (6-2)/(5--4)
=4/9
Find the surface area and volume of the composite figure. Use 3.14 for π and round to the nearest tenth if needed.
Please show step by step, I'm really struggling with this.
[tex] \huge \mathrm {➢ \: \: \: \: Answer }[/tex]
The above figure consists of three different shapes, that is :
A hemisphereA Cylinder A ConeLet's solve for surface area of whole figure :
1. Curved surface area of hemisphere : -
radius (r) = 4 m[tex] \large \boxed{ \boxed{2\pi {r }^{2} }}[/tex]
[tex]➢ \: \: 2 \times 3.14 \times 4 \times 4[/tex]
[tex]➢ \: \: 100.48 \: m {}^{2} [/tex]
2. lateral surface area of Cylinder : -
radius (r) = 4 mheight (h) = 10 m[tex] \large \boxed {\boxed{2\pi rh}}[/tex]
[tex]➢ \: \: 2 \times 3.14 \times 4 \times 10[/tex]
[tex]➢ \: \: 251.2 \: { m}^{2} [/tex]
3. curved surface area of cone :
radius (r) = 4 mheight of cone (h') = 3 m.[tex]slant \: height = \sqrt{4 {}^{2} + 3 {}^{2} } [/tex]
(by Pythagoras theorem)
[tex] \large \boxed { \boxed{c.s.a = \pi rl}}[/tex]
[tex]➢ \: \: 3.14 \times 4 \times 5[/tex]
[tex]62.8 \: m {}^{2} [/tex]
Surface area of the figure :
[tex]➢ \: \: 100.48 + 251.2 + 62.8[/tex]
[tex]➢ \: \: 414.48 \: \: m {}^{2} [/tex]
[tex]➢ \: \: 414.5 \: m {}^{2} \: \: \: (approx)[/tex]
Now, let's solve for volume :
Volume of given figure will be combined volume of the all three shapes,
1. Volume of hemisphere :
[tex] \boxed{ \boxed{\dfrac{2}{3} \pi {r}^{3} }}[/tex]
[tex]➢ \: \: \dfrac{2}{3} \times 3.14 \times 4 \times 4 \times 4[/tex]
[tex]➢ \: \: 133.97 \: \: { m}^{3} [/tex]
2. Volume of Cylinder :
[tex] \large\boxed{ \boxed{ \pi{r}^{2}h }}[/tex]
[tex]➢ \: \: 3.14 \times 4 \times 4 \times 10[/tex]
[tex]➢ \: \: 502.4 \: m {}^{3} [/tex]
3. Volume of cone :
height of cone (h') = 3 m[tex] \large \boxed {\boxed{ \frac{1}{3} \pi {r}^{2}h' }}[/tex]
[tex]➢ \: \: \dfrac{1}{ 3} \times 3.14 \times 4 \times 4 \times 3[/tex]
[tex]➢ \: \: 50.24 \: {m}^{3} [/tex]
The total volume of the given figure :
[tex]➢ \: \: 133.97 + 502.4 + 50.24[/tex]
[tex]➢ \: \: 686.61 \: {m}^{3} [/tex]
or
[tex]➢ \: \: 686.6 \: \: m {}^{3} \: \: \: (approx)[/tex]
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
What is 3logy−2logx−4logz written as a single logarithm?
Answer:
log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]
Step-by-step explanation:
3logy−2logx−4logz
log[tex]y^{3}[/tex]− log[tex]x^{2}[/tex]− log[tex]z^{4}[/tex]
log[tex]\frac{y^{3}}{x^{2} }[/tex] − log[tex]z^{4}[/tex]
log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]
HURRY PLEASE 100 POINTS WILL GIVE BRAINLIEST
Describe how the rules of adding and subtracting fraction are similar and different from the rules of adding and subtracting rational expressions. When are excluded values applied and why are they needed? Give an example. This needs to be an in depth answer.
Answer:
To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.
When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.
Step-by-step explanation:
The temperature inside the freezer is −10°C and the temperature of the room is 32°C. How much higher is the temperature of the room than the temperature inside the freezer?
Answer:
42°C
Step-by-step explanation:
32-(-10) =
32 + 10 = 42
Minus a negative makes a positive
Which problem is best represented by the expression 12÷18?
Answer:
12 divided by 18 equals 0.666666666666
What is the scale factor of this dilation?
Answer:
the factor from 3 to 5 is
1 2/3
please help me i dont understand
Answer:
[tex] \cos(71) = \frac{15}{x} [/tex]
[tex]x = \frac{5}{ \cos(71) } [/tex]
[tex]x = 46.07[/tex]
[tex]x = 46.1[/tex]
OPTION B
Please help me with this im pretty confused
Answer:
11
Step-by-step explanation:
sqrt(121)
What number times itself gives 121
11*11 = 121
-11 * -11 = 121
Answer:
the square root of 121 is 11
which is the second option
Someone help dont scam or you get reported
Answer:
$0.21
Step-by-step explanation:
Divide $0.84 for 4: $0.21
Answer:
0.21
Step-by-step explanation:
well 4 cars
.84 a pack of 4
42=50%
21=25%
0.21 per car
A restaurant charges $100 to rent its banquet room for an event. It also charges $15 to serve dinner to each guest. Write an equation for the total cost (t) of renting the banquet room in terms of the number of guests (g). How many guests attend if the total cost of an event is $2200?
Answer:
t = 100 + 15x
= 140 guests
Step-by-step explanation:
Rent for banquet room = $100
Dinner per guest = $15
Let
x = number of guests
Total cost = Rent for banquet room + (Dinner per guest * number of guests
Total cost, t = 100 + 15x
How many guests attend if the total cost of an event is $2200?
t = 100 + 15x
2,200 = 100 + 15x
2200 - 100 = 15x
2,100 = 15x
x = 2,100/15
x = 140 guests
x = number of guests = 140 guests
The diagram shows a sector OAPB of a circle, centre O.
AB is a chord of the circle.
OA = OB = 5.4 cm.
Angle AOB = 72°
Calculate the area of the shaded segment APB.
Give your answer correct to 3 significant figures.
Answer:
4.44 cm²
Step-by-step explanation:
If the diagram attached below is required to complete the question,
Applying,
Area of the shaded segment(A) = Area of the sector- area of the triangle
A = (πr²∅/360)-(r²sin∅/)2................ Equation 1
Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie
From the question,
Given: r = 5.4 cm, ∅ = 72°
Constant: π = 3.14
Substitute these values into equation 1
A = (3.14×5.4²×72/360)-(5.4²/2×sin72)
A = 18.31-13.87
A = 4.44 cm²
Determine whether each expression represents the statement divide the sum 15 and 6 by the difference of 10 and 3.
Answer:
[tex]\frac{15+6}{10-3}[/tex]
Step-by-step explanation:
Sum of 15 and 6 = 15 + 6
Difference of 10 and 3 = 10 - 3
So, the expression is
[tex]\frac {15 + 6}{10-3}[/tex]
This is the required expression.
??!?!?!?!?!!?!?!?!!?!!!?!!!!?
Answer:
The third option, a rational number
like 1/5 + 2.5 is still rational (but neither irrational nor whole/an integer)
it would be 0.2 + 2.5 = 2.7 btw
or
1/5 + 5/2
= 2/10 + 25/10
= 27/10
I need help with this
Answer:
A. w+2
Step-by-step explanation:
(w²+2w)/ w =
w(w+2)/w = w+2
Answer:
a) w+2
Step-by-step explanation:
A=w^2+2w
width is w
let's consider length is x
area=length×width
so
[tex] {w}^{2} + 2w = xw[/tex]
[tex]x = \frac{ {w}^{2} + 2w}{w} = w + 2[/tex]
a quadratic polynomial has a degree of 2. T or F
Answer:
Step-by-step explanation:
True
Which equation is correct?
please help me :((
Answer:
sin x° = opposite ÷ hypotenuse
Step-by-step explanation:
Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.
If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:
S - sine
o - opposite
h- hypotenuse
C - cosine
a - adjacent
h - hypotenuse
T - tangent
o - opposite
a - adjacent
Find the area of the circle with a circumference of
30
π
. Use 3.14 for
π
. Round to the nearest hundredth.
Area in in decimal form: ______
Options:
Answer:
706.50 mm^2
Step-by-step explanation:
The formula to find the circumference is 2πr (r : radius)
if the circumference is 30π the the radius is = 15
to find the area we use the following formula :
π*r^2
r = 15 and π is given as 3.14
(3.14)*15^2 = 706.50 mm^2
Use the distributive property and combine like terms to write an equivalent expression: 5(3x + 2) - 8(x +1)
Answer:
7x + 8
Step-by-step explanation:
15x + 10 - 8x + 8
combine like terms
7x + 8
2. There are 476,092 fish in the city aquarium. That number
of fish is 476,070 more fish than Nadia has in her aquarium.
How many fish does Nadia have in her aquarium?
Answer:
Nadia has 22 fish
Step-by-step explanation:
476,092-476,070= 22
Answer:
The answer is 952,152 fishes
Step-by-step explanation:
No. of fish in the city aquarium 476,092
No. of fish Nadia's aquarium has= 476,070 more than
More than= +
476,092+476,070=952,152
the difference of place values of the digit 3 in 53,230
Place the digits 1, 2, 3, 4, 5, and 6 in the circles below so that the sum of the three numbers on each side of the triangle is 12. Hint: There are a limited number of possible configurations.
Answer:
hmmmm i dont know
Step-by-step explanation:
The function g(x) is defined by the equation g(x) = -3x² + x - 1.
Which is the value of g(1)?
Answer:
-3
Step-by-step explanation:
g(1) = -3x² + x - 1
= -3([tex]1^{2}[/tex]) + 1 -1
= -3(1) + 1 - 1
= -3 +1 -1
g(1) = -3
Just put the 1 everywhere you see an x.
Solve
please help me (the last word says coordinate)
Answer:
A square
Step-by-step explanation:
the coordinates make a square.
Find the gradient of a line with the following equations 3y+6x =12
Hi there!
[tex]\large\boxed{\text{gradient = -2}}[/tex]
Recall the equation:
y = mx + b, where:
m = slope, or gradient of a line
Rewrite this expression into the above format:
3y + 6x = 12
Isolate y by subtracting 6x from both sides of the equal sign:
3y + 6x - 6x = 0x -6x + 12
3y = -6x + 12
Divide all terms by 3:
y = -2x + 4
Thus, the gradient is -2.
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
-3x - 5 = 16
add 5 to both sides of the equation
-3x = 21
divide both sides by -3
x = -7
---------------------
-4(y - 2) = 12
distribute the -4 to everything in the parentheses
-4y + 8 = 12
subtract 8 from both sides of the equation
-4y = 4
divide both sides of the equation by -4
y = -1
First one: 54 < -9c solve for c
Second one: 49> -7a solve for a
Describe the graph of a tangent function. State some important characteristic
Answer:
The graph of a tangent function is defined as the ratio if the opposite side of the adjacent side of any angle, specifically a right-angled triangle.
what is meaning of volume
Step-by-step explanation:
Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object or solid shape.
Answer:
the amount of space that a substance or object occupies.
basically the volume of a container, like space in a container.
Using the properties of equality to solve the equation -3x - 9 = -21, you would
add 9 and then divide by -3
add 9 and then multiply by -3
subtract 9 and then divide by -3
subtract 9 and then multiply by -3 ?
The Cubs are projected to win 38 games next season, this is a 22.6% increase from this past season, how many games did they win in this past season?
Answer:
≈ 30 times
Step-by-step explanation:
The Cubs are projected to win 38 games next season and this is a 22.6% increase from past season.
Step 1 : Let's find 22.6% of 38.
= 8.588
Step 2 : Now, since we increased by this, we subtract.
38 - 8.588 = 29. 412
Of course you can't win only part of a game, so I'm going to say they won 30 times, because a little extra win never hurt anybody. :)
Hope this helps, please mark brainliest!