Answer:
Step-by-step explanation:
12). By applying Pythagoras theorem in the given right triangle,
Hypotenuse² = (Leg 1)² + (Leg 2)²
x² = 7² + 7²
x² = 2(7)²
x = [tex]\sqrt{2(7)^{2} }[/tex]
x = [tex]7\sqrt{2}[/tex]
13). By sine rule,
sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}[/tex]
y = [tex]\frac{18\sqrt{3} }{\sqrt{3} }[/tex]
y = 18
By cosine rule,
cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{y}[/tex]
x = [tex]\frac{y}{2}[/tex]
x = [tex]\frac{18}{2}=9[/tex]
14). By applying Pythagoras theorem in the given right triangle,
12² = x² + x²
144 = 2x²
72 = x²
x = √72
x = 6√2
15x + 13y = 11
Pls help me
Answer:-0.133333333333
Step-by-step explanation:
Find the value of x. Round to
the nearest tenth.
17°
47
X = [
The answer to nearest tenth is 45.0
6.
Which expression represents the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r?
Answer:
A. [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
Step-by-step explanation:
A composite figure is formed by two or more shapes in contact.
Volume of a cube = [tex]l^{3}[/tex]
where l is the length of its sides.
Given that l = 2r, then;
volume of the cube = [tex](2r)^{3}[/tex]
= 8[tex]r^{3}[/tex]
volume of the cube = 8[tex]r^{3}[/tex]
For a hemisphere, volume = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Also,
volume of the hemisphere = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
So that,
volume of the composite figure = volume of the cube + volume of the hemisphere
= 8[tex]r^{3}[/tex] + [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]r^{3}[/tex](8 + [tex]\frac{2}{3}[/tex][tex]\pi[/tex])
volume of the composite figure = [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
The value of p and q in the right triangle are as follows:
p ≈ 30.6 units
q ≈ 14.9 units
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Let's find p and q using the trigonometric ratios.
Hence,
sin 64 = opposite / hypotenuse
opposite side = p
hypotenuse = 34
Therefore,
sin 64 = p / 34
cross multiply
p = 34 sin 64
p = 30.5589975742
p ≈ 30.6 units
Hence,
cos 64 = adjacent / hypotenuse
cos 64 = q / 34
cross multiply
q = 34 cos 64
q = 14.9046189908
q = 14.9 units
Therefore,
p ≈ 30.6 units
q ≈ 14.9 units
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Find the difference (6d+5)−(2−3d)
Answer:
9d+3
Step-by-step explanation:
(6d+5)-(2-3d)= cancel out parentheses
6d+5-2+3d= Commutative property of addition
6d+3d+5-2= Group like terms
(6d+3d)+(5-2)= Combine like terms
Answer = 9d+3
How much interest is earned when the principal amount is $250, the annual simple interest rate is 1%, and the number of years is 10? (
Answer:
240.1
Step-by-step explanation:
Solve for x and show your work.
12 = -4(-6x - 3) HELP
Answer:
12= (24x+12) 0=24x Hope this helpsAnswer:
x=0
Step-by-step explanation:
For each gym membership sold, the gym keeps $42, and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym membership?
followup: If an employee sells a family pass for $135, what is the amount of the commission they get to keep?
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given that,
For each gym membership sold, the gym keeps $[tex]42[/tex], and the employee who sold it gets $[tex]8[/tex].
(1)
Here the full price is [tex]42+8=50[/tex]
So, the commission the employee earned as a percentage of the total cost of the gym membership is
[tex]\frac{8}{50}=16[/tex] %
(2)
Here, the employee sells a family pass for $[tex]135[/tex].
So, the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be
[tex]\frac{16}{100}[/tex] ×[tex]135=21.6[/tex] $
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
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Someone help with this please
Answer:
the answer is discrete
this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend
Step-by-step explanation:
Which function is the inverse of g(x) = [tex]\frac{(x-1)^{3} }{2} -3[/tex]?
Answer:
third option
Step-by-step explanation:
let g(x)=y
(x-1)³/2-3=y
(x-1)³/2-3/1=y
(x-1)³-6/2=y
(x-1)³-6=2y
(x-1)³=2y+6(find cubic root of both sides)
(x-1)=³√(2y+6)
x=³√(2y+6)+1
Replace y with g for the inverse
g^-1(x)=³√(2x+6)+1
Select all the equations that have x=4 as the solution *
A 42 = 38 + x
B x + 15 = 19
C 18 = x - 2
D 32 = 36 - x
E 52 - x = 46
Answer:
A B D
Step-by-step explanation:
A 38+4=42
B 4+15=19
C 18= 20-2
D 32= 36-4
E 52-6=46
3/5+1/3= ...............................................................................................................
Answer:
Step-by-step explanation:
you add two fractions:
3/5+1/3=
find the common denominator = it is 15 (3*5)
9/15+5/15=14/15
I don’t get this at all please help!!
Answer:
I can't this type of mathematics
Answer:
29) x = 12
30) x = 6
31) x = -4
32) x = 5
Not sure if the degree symbol is needed for the answer.
Step-by-step explanation:
Apply angle sum of triangles to all 4 questions.
29) (3x + 4) + 50 + 90 = 180 i.e. x = 12
30) (8x + 7) + 35 + 90 = 180 i.e. x = 6
31) 64 + 65 + (x + 55) = 180 i.e. x = -4
32) 70 + 35 + (14x + 5) = 180 i.e. x = 5
can someone find the perimeter of this shape? ill give brainliest if ur right
Answer:
24
Step-by-step explanation:
Add up all the sides to fid the perimeter. 6+6+8+4=24
Anybody know this? (Geometry)
Answer: d
Step-by-step explanation:
My guys do your thing i am giving brainliest
Answer: 18.84
1. Multiply the radius by two (diameter)
2. Multiply the diameter by pi
3. Round
Answer:
the circles circumference is 18.84 cm
If the lengths of the sides of a
Switzerland flag are 10 ft, what is the area of the flag?
Geometric proofs of segments
Again..
Given: B is the midpoint of AC
C is the midpoint of BD
Prove: AD=3AB
This one hurts to look at
Answer:
The proof is shown below.
Step-by-step explanation:
Given: B is mid point of AC and C is mid-point of BD.
To prove: AD=3AB
It is given that B is mid-point of AC.
⇒ AB = BC ...(1)
Also, C is mid-point of BD.
⇒ BC = CD ...(2)
From (1) and (2),
AB = BC = CD
Now, AD = AB + BC + CD
⇒ AD = AB + AB + AB (∵ AB = BC = CD )
Hence proved.
Does this graph show a function? why or why not?
It is a function because we do not have two or more red points vertically aligned. In other words, we don't have any red points stacked. This graph passes the vertical line test.
The vertical line test is where we try to find a single vertical line passing through more than one red point. No such vertical line exists, so that's why this graph passes. Passing the vertical line test means we therefore have a function.
A function is where any input x leads to exactly one output. For instance, the input x = 9 leads to the single output y = 28. Similar situations happen with the other x values as well. If we had the two points (9,28) and (9,36), then this wouldn't be a function.
24. Find f'(x) for f(x) = ax2 + bx.
Answer:
f'(x) = 2ax + b
Step-by-step explanation:
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
f(x) = ax² + bx , then
f'(x) = 2a[tex]x^{2-1}[/tex] + b[tex]x^{1-1}[/tex]
= 2ax + b[tex]x^{0}[/tex] ( [tex]x^{0}[/tex] = 1 )
= 2ax + b
A soccer field is 100 meters long. What could be its length in yards? 33.3 91 100 109 Explain your thinking.
Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups of blueberries
Answer:
6 x 2 = ?
6 x 2 = 1 2
Step-by-step explanation:
6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .
Seems easy but this has my brain hurting.
Answer:
E and D
Step-by-step explanation:
Just make a mental line which these letters connect to each other.
{(1, 7.6) (2, 7.2) (3, 6.8) (4, 6.4) (5, 6) (6, 5.6)}
Is this a function or no?
Answer:
Yes
Step-by-step explanation:
Let's put them vertically because that helps me explain this
x, y
1, 7.6
2, 7.2
3, 6.8
4, 6.4
5, 6
6, 5.6
For this to be a function there should be one output for every input, the y coordinates are our outputs and as you can see none of them repeat so this is a function.
Which type of transformation is shown in the figure on
the left?
O translation
O reflection
O rotation
O dilation
The answer is reflection
yea the answer is reflection
The type of transformation that's shown in the figure on the left is; reflection
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs,
A reflection is defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis such as; if we're seeing it in a mirror.
We will find that its symmetric, thus each point is equidistant from the axis of reflection such that of the image of that point.
The answer is; reflection
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please help me fr im struggling
Answer:
x = 3
m<PAW = 1
Step-by-step explanation:
☆They are supplementary angles.
☆Supplementary angles equal 180 degrees.
[tex] - 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]
☆Plug in for m<AEZ
[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]
☆m<PAW is corresponding to m<AEZ
☆Corresponding angles are congruent.
☆m<PAW equals 1.
The radius of a circle is 12 centimeters. What is the circle's area?
r=12 cm
Use 3.14 for a
square centimeters
Answer:A=452.16
Step-by-step explanation:
A=π·r²
A=3.14·12²
A=3.14·144
A=452.16
Does anyone know how to tell if a graph is inverse
Step-by-step explanation:
A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.
you can tell if the graph is inverse if f(x) passes the horizontal line test ( basically if it touches the line that goes across *horizontally* on the graph) and a graph is a one to one function if and ONLY if it touches both vertical and horizontal lines on the graph
PLEASE HELP URGENT!!
An irregular polygon is shown below:
A: 21 Square Inches
B: 22 Square Inches
C: 26 Square Inches
D: 29 Square Inches
Answer:
[tex]26\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The irregular polygon is made of a large rectangle with two smaller rectangles cut out of it. Therefore, we can find the area of the large rectangle and subtract these two smaller rectangles:
[tex]10\cdot 5-2\cdot3\cdot4=50-24=\fbox{$26\:\mathrm{in^2}$}[/tex].
Cory has the marbles shown below. If Cory gives of the marbles to his brother, how many marbles will Cory have left 0 A 3 B5 C 10 D 1o show work
Answer:
Can you give more information so i can answer your question
Step-by-step explanation: