Answer:
Step-by-step explanation:
LHS = tanθ/secθ - 1 + tanθ/secθ + 1
Cross multiplication,
tanθ(1 - secθ) - tanθ(1 + secθ)/1 + sec^2θ
= tanθ(1 - secθ - 1 - secθ)/-tan^2θ
= -2secθ/-tanθ
= 2 x 1/cosθ / sinθ/cosθ
= 2cosecθ = RHS
Hence proved.
A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedroom units within a half-mile of campus and the rents paid. The sample mean is $550 and the sample standard deviation is $60.05. Provide a 95% confidence interval estimate of the mean rent per month for the population of one-bedroom units within a half-mile of campus. Assume that population is normally distributed.
Answer:
(507.05, 592.95)
Step-by-step explanation:
Given data:
sample mean = $550, sample standard deviation S = $60.05
95% confidence interval , n = 10
For 95% confidence interval for the mean
mean ± M.E.
where M.E. is margin of error = [tex]t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }[/tex]
Substituting the values in above equation
[tex]=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }[/tex]
= 2.62×18.99
=42.955
= 550±42.95
=(507.05, 592.95)
What is the distance, rounded to the nearest tenth, between the points (-2,4) and (6,-4)?
Kenny loves to drink milk. He drinks 20 quarts of milk in 5 weeks. How many quarts of milk will Kenny drink in 12 weeks?
Answer:
32 mutipliy 20 and 5
Step-by-step explanation:
Graph the function n(x) = |x6|.
+Move Ray
-6
-4
-2
104
9
4
2
0
-2
Undo
2
4
Redo
6
x Reset
8
10
Answer:
x
)
=
2
x
4
−
3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x
−
1
x−1?
Find the exact value of the expression
Answer:
here is the correct answer
In ΔABC, the measure of ∠C=90°, AB = 86 feet, and CA = 61 feet. Find the measure of ∠A to the nearest degree.
Answer:
<A=45°
Hope this helps you
Answer:
45
Step-by-step explanation:
PLEASE HELP, ASAP. I WILL MARK YOU BRAINLIEST‼️
Find the sum: −11−7−3+1+⋯+225
Answer:
205
Step-by-step explanation:
Step-by-step explanation:
-11-7-3+1+225
-21+1+225
-20+225
205
y≥ −4x+10
Hello, I’m having trouble the the following question above. Can you help me please?
The question asks to name the A and B points
A: ( , )
B: ( , )
I'm assuming x and y intercepts which would be (2.5,0) and (0,10)
Worked Example:
Select all the expressions that have the same value as 4 1/2% of 50.
A. 0.045x50
B. 4.5%x50
C. 43%x50
D. 4.5x50
E. 0.45x50
F. 412x50
Answer:
Options A and B------------------------------------------
4 1/2% of 50 is 4.5% of 50 which is same as:
4.5% × 50or substituting % with 1/100,
4.5/100 × 50 = 0.045 × 50The matching choices are A and B.
What is the gravitational potential energy of a 55-kg person that has climber a 4,000 meter tall mountain?
Bonus: if one snickers bar is 1,100,000 joules of energy, how many snickers bars would provide enough fuel to climb the mountain ?
Answer:
2156000 J.
Bonus: 2 snickers bar
Step-by-step explanation:
Applying
P.E = mgh................. Equation 1
Where P.E = Gravitational potential energy, m = mass of the person, h = height of the mountain, g = acceleration due to gravity.
From the question,
Given: m = 55 kg, h = 4000 m
Constant: g = 9.8 m/s²
Substitute these values into equation 1
P.E = (55×4000×9.8)
P.E = 2156000 J.
If one snikers bar is 1100000 J of energy,
Then, (2156000/1100000) snickers bar would be enough to climb the mountain
Number of snickers bar = (2156000/1100000) = 1.96 ≈ 2
Determine the value of x that make the equation true . 5 (x + 2) = 7 (4 - x)
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]5(x + 2) = 7(4 - x) \\ 5x + 10 = 28 - 7x \\ 5x + 7x = 28 - 10 \\ 12x = 18 \\ x = \frac{18}{12} \\ x = \frac{3}{2} \\ x = 1.5[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
The length of a rectangle is twice its width. The perimeter is 30. Find it’s dimensions.
Answer:
Length = 10 Width = 5Step-by-step explanation:
Let's assume that,
→ Length = 2x
→ Width = x
→ Perimeter = 30
Perimeter of rectangle formula,
→ P = 2(L + W)
Now the value of x will be,
→ P = 2(L + W)
→ 2(2x + x) = 30
→ 2 × 3x = 30
→ 6x = 30
→ x = 30/6
→ [ x = 5 ]
Then required dimensions are,
→ Length = 2x = 2 × 5 = 10
→ Width = x = 5
Hence, these are the dimensions.
Length = 10
width = 5
Given-
Perimeter =30
l=2b........................................................ i
so
P =2(l+b)
here
30 = 2(2b +b)... ... .............. as l=2b from i
30 = 2*3b
30 = 6b
b= 5
which implies l= 2*5 --->10............................................ from i
so
Length = 10
width = 5
Read More about the perimeter of a rectangle:
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Write two numbers that are opposites and more than 6 units away from 0.
Answer:
-7, 7
Step-by-step explanation:
Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8) Hope that helps :)
find the volume of each figure
Answer:
1) 17.5×14×64
→ 1568 in³2) volume= 0.5×3.6×10×5=
→ 903) d= 13, r=13/2= 6.5, h= 19
→ v= πr²h→ π(6.5)²×19→ 2521.91 mm³4) Base Area= a+b/2×h
→ (37+15)/2×25.7 cm²→26×25.7 cm²→ 668.2 cm²height= 20cmvoulme = 668.2×20→ 13364 cm²5) L×W×H
→ 25×7×18→ 175×18→ 3150 ft³6) v=πr²h
→ π(3.2²)(8)→ 81.92π→ 257.36 km²[tex]------------[/tex]
hope it helps...
have a great day!!
[tex] \huge \boxed{1}[/tex]
→17.5 × 14 × 6.4
→1568 in³
[tex] \huge \boxed{2}[/tex]
→0.5 × 3.6 × 10 × 5
→90 m³
[tex] \huge \boxed{3}[/tex]
→ Diameter = 13 mm
→ Radius = 13/2 = 6.5
→ Height = 19 mm
→Volume => πr²h
=> 22/7 × (6.5)² × 19
=> 2521.91 mm³
[tex] \huge \boxed{4}[/tex]
→ Base Area → a+b/2×h
→ (37+15)/2×25.7 cm²
→26×25.7 cm²
→ 668.2 cm²
(height= 20cm)
→volume => 668.2×20
→13364 cm²
[tex] \huge \boxed{5}[/tex]
→Area→ L × B × H
→ 25×7×18
→ 175×18
→ 3150 ft³
[tex] \huge \boxed{6}[/tex]
→Volume → πr²h
→ π(3.2²)(8)
→ 81.92π
→ 257.36 km²
[tex] \boxed{Extra-Information}[/tex]
Always divide the diameter with 2 to get the radius.Volume is expressed in cube³ unit.[tex] \bold \green{TheExtraterrestrial}[/tex]
evaluate the following polynomial when x = - 3
+6x² – 3x+5
2x
Answer:
-93
Step-by-step explanation:
Substitute by - 3 instead of X
Which graph represents an exponential function?
Answer:
The answer to your question is the third one
Step-by-step explanation:
The first graph is the graph of a
The second graph is of a rational function
The third one is of an exponential function
vasta third one dzuh
Any graph that looks like the above (big on the left and crawling along the x-axis on the right) displays exponential decay, rather than exponential growth. For a graph to display exponential decay, either the exponent is "negative" or else the base is between 0 and 1.
Which is 3 logx + 4 log(x-2) written as a single logarithm?
logx (x - 2)
logx(x-2)
b. 12 logx(x - 2)
d. 12 logx(x-2)
Answer:
The answer is [tex]12\log{(x(x-2))}[/tex]
Step-by-step explanation:
Exponential property of logarithm:
We have that:
[tex]a \log{x} = \log{x^{a}}[/tex]
Sum of logarithms:
We have that:
[tex]\log{a} + \log{b} = \log{ab}[/tex]
Applying the exponential property:
[tex]3\log{x} = \log{x^3}[/tex]
[tex]4\log{(x-2)} = \log{(x-2)^4}[/tex]
So
[tex]3\log{x} + 4\log{x-2} = \log{x^3} + \log{(x-2)^4}[/tex]
Additive property
[tex]\log{x^3} + \log{(x-2)^4} = \log{x^3(x-2)^4} = \log{(x(x-2))^12}[/tex]
Exponential property:
[tex]\log{(x(x-2))^12} = 12\log{(x(x-2))}[/tex]
The answer is [tex]12\log{(x(x-2))}[/tex]
Use the figures to complete the statements proving the converse of the Pythagorean theorem.
Drag and drop a phrase, value, or equation into the box to correctly complete the proof.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
To prove the converse of the Pythagorean theorem, we can define a right triangle, Response area, with sides a, b, and x. Then, we will show that if △ABC is a triangle with sides a, b, and c where a² + b² = c², then it is congruent to △DEF and therefore a right triangle.
By the Pythagorean theorem, because △DEF is a right triangle, a² + b² = x².
If a² + b² = x² and a² + b² = c² , then c² = x². Further, since sides of triangles are positive, then we can conclude that c = x. Thus, the two triangles have congruent sides and are congruent.
If △ABC is congruent to a right triangle, then it must also be a right triangle.
To prove the converse of the Pythagorean theorem, we can define a right triangle Δ DEF with sides a, b, and x.
\What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
ΔABC and ΔDEF
To prove the converse of the Pythagorean theorem, we can define a right triangle DEF with sides a, b, and x.
Thus,
ΔDEF is filled in the box.
Learn more about the Pythagorean theorem here:
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please help me to solve this
Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.
Please help giving brainliest please
Someone please help with this!
Answer:
27/1
Step-by-step explanation:
3³=3·3·3=27
27=27/1
Which list classifications for the figure
Answer: I think you forgot to post the picture
Step-by-step explanation:
5 divided by G1 equals
Answer:
5/g
Step-by-step explanation:
What is the range of the function x is 0 and y is 40
Answer:
range is y-coordinates so it should be 40
Step-by-step explanation:
domain is x-coordinates
what is the slope of the table below? 3/8 15/12 9/10 0/7
The slope of the table below? 3/8 15/12 9/10 0/7 is 23.8
What is slope?Slope is defined as the rate of change of y with respect to x. Invariably, it it the rise in y over the run in x. put differently, slope is increase over increase in x
The slope of a line is defined
S= (increase in y)/(Increase in x) = Δy/Δx
Slope = (0/7 - 18/12) ÷ (9/10 -3/8)
Slope = 15/12 ÷ 42/80
Simplify the fractions to have
Slope = 15/12 * 80/42
The slope = 1200/504
Slope of the table is given as 23.4
Conclusively, the table gives us a slope approximately 23
Learn more about slope on https://brainly.com/question/3605446
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find the area of right angle triangle whose base 9, Height 8?
Answer:38cm2
Step-by-step explanation:
The area of right angle triangle is 36 sq.cm. Whose base 9, Height 8 .
Base is 9 cm.
8 centimeters tall.
Triangle area equals 1/2 x base x height
Triangle's area is 1/2 x 9 x 8 = 36 square centimeters.
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
The surface inside a flat figure is measured by its area. Squares are used to measure area. To obtain the square units, multiply the length by the width.
Learn more about Area
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Kind of stuck any tips would also help!!
Answer:
Step-by-step explanation:
You must place in the question sign box the value of x that is above the question sign box because you are trying to fill out the y row.
Example: y=[tex]-\frac{0}{3} +2[/tex]= -0+2=2
Answer:
Step-by-step explanation:
tip:
plug the x values from the table ( the top row values ) into the equation
in this case its 0
BOX 1:
[tex]-\frac{0}{3} +2\\[/tex]
0 divided by anything = 0
so, 0 + 2 = 2
box 1 = 2
BOX 2:
[tex]-\frac{3}{3} +2[/tex]
3 div by 3 = 1 ( in this case negative 1 )
so, -1 + 2 = 1
box 2 = 1
BOX 3:
[tex]-\frac{6}{3} +2[/tex]
6 div by 3 = 2 ( in this case negative 2)
-2 + 2 = 0
box 3 = 0
A box office sold 147,523 tickets for an auto race.
Of this number, 68,724 tickets were for adults.
The rest were children's tickets.
How many children's tickets were sold?
78,709
81,799
121,201
Answer:
78,799 children's tickets
Step-by-step explanation:
147,523 total tickets, 68,724 adult tickets
Subtract to find amount of children's tickets:
147,523-68,724 = 78,799
can someone please help me on this question?
Answer: D
Step-by-step explanation:
If the graph is shifted 5 units down, each output value should decrease by 5.