Answer:
16.6
Step-by-step explanation:
The rectangle has an area of 105. It's width is 7.
1: Find the length
[tex]\frac{area}{width}[/tex]=length
[tex]\frac{105}{7}[/tex]= 15
Length=15
2: Pythagorean theorem
[tex]a^{2} +b^2=c^2[/tex]
[tex]7^{2}[/tex]+[tex]15^2=c^2[/tex]
49+225=[tex]c^2[/tex]
275=[tex]c^2[/tex]
[tex]\sqrt{275}[/tex] = [tex]\sqrt{c^2\\}[/tex]
16.55≈c
Rounded to nearest tenth
16.6
Solve The Equation Below
Answer:
16
Step-by-step explanation:
10 + sqrt(y) = 14
Subtract 10 from each side
10 -10+ sqrt(y) = 14-10
sqrt(y) = 4
Square each side
(sqrt(y)) ^2 = 4^2
y = 16
Hello!
[tex]10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16[/tex]
A is the answer.
Good studies!
add 7 with the diffrence of 12 and 9 =
Answer:
7+3 = 10
Step-by-step explanation:
if I understand the problem strangeness right, and there is nothing missing in it, then this is the simple answer.
the difference of 12 and 9 is 12-9 = 3.
and then adding this 3 to 7 is 7+3 =10
Answer:
10
Step-by-step explanation:
The difference of 12 and 9 is 3.
Now,
If we add 7 to 3, the answer is 10.
Use a double-angle or half-angle identity to find the exact value of each expression?
If 0 < θ < π/2, then 0 < θ/2 < π/4, and for such angles we expect sin(θ/2) to be positive. Also, we know both sin(θ) and cos(θ) will be positive.
Given that tan(θ) = 2, we can find sec(θ) from the Pythagorean identity:
tan²(θ) + 1 = sec²(θ) ==> sec(θ) = √(tan²(θ) + 1)
… ==> cos(θ) = 1/√(tan²(θ) + 1)
… ==> cos(θ) = 1/√5
Now, recall the half-angle identity for sine:
sin²(θ/2) = (1 - cos(θ))/2
==> sin(θ/2) = √[(1 - cos(θ))/2]
==> sin(θ/2) = √[(1 - 1/√5)/2]
==> sin(θ/2) = √[(√5 - 1)/(2√5)]
==> sin(θ/2) = √[(5 - √5)/10]
Rationalise the denominator as per necessary and simplify.
Answer:
[tex]8\sqrt{7}[/tex]
Step-by-step explanation:
[tex]\frac{21}{\sqrt{7} } * \frac{\sqrt{7} }{\sqrt{7} }[/tex] = [tex]\frac{21\sqrt{7} }{7}[/tex]
[tex]\frac{21\sqrt{7} }{7}[/tex] = [tex]\frac{147\sqrt{7} }{14}[/tex]
[tex]\frac{147\sqrt{7} }{14} - \frac{35\sqrt{7} }{14}[/tex]
[tex]\frac{112\sqrt{7} }{14}[/tex]
[tex]8\sqrt{7}[/tex]
What is the measure of n
Answer:
n = [tex]\sqrt{32}[/tex]
Step-by-step explanation:
The 2 right triangles inside the larger right triangle are similar , so corresponding sides are in proportion
[tex]\frac{8}{n}[/tex] = [tex]\frac{n}{4}[/tex] ( cross- multiply )
n² = 32 ( take the square root of both sides )
n = [tex]\sqrt{32}[/tex]
What is the value of x that makes the given equation true?
2(x−8)=x+5x
a x=-4
b x=-16
c x=-2
d x=0
Answer:
x = -4
Step-by-step explanation:
2(x−8)=x+5x
Distribute
2x - 16 = x+5x
Combine like terms
2x-16 = 6x
Subtract 2x from each side
2x-16 = 6x-2x
-16 = 4x
Divide by 4
-16/4 = 4x/4
-4 =x
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{2(x-8)=x+5x }[/tex] [tex]\sf{2x-16=6x }[/tex] [tex]\sf{2x-6x=16 }[/tex] [tex]\sf{-4x=16 }[/tex] [tex]\sf{ x=\dfrac{16}{-4} }[/tex] [tex]\sf{x=-4 }[/tex][tex]\sf{ }[/tex]
A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 12 ft from the
side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answer:
open degrees
Step-by-step explanation:
because I am added all the numbers so it comes
I can't understand that question
need help asap pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
9514 1404 393
Answer:
4a. 177
4b. 248
5a. 27
5b. 9
5c. 12
Step-by-step explanation:
4.a) x is 3/4 of 1/2 of all, so is 3/8 of all.
x = 3/8·472
x = 177
b) x is 2/5 of 2/3 of all, so is 4/15 of all.
x = 4/15·930
x = 248
__
5.Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.
Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.
Elaine's grandmother has 27 flowersthe neighbor has 9 flowersElaine has 12 flowersaint the answer for this 10 just let me if im wrong
Answer:
Yup
Step-by-step explanation:
An experiment consists of rolling a six sided die to select a number between between 1 and 6 and drawing a card at random from a set of 10 cards numbered 1,2,3,...10. Which event definition corresponds to exactly one outcome of the experiment?
Answer:
Man this is confusing
Step-by-step explanation:
Classify the following triangle. Check all that apply.
Find the value of x.
A. 70
B. 30
C. 65
D. 40
Answer:
Option (A)
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in ΔBCP,
m∠CBP + m∠CPB + m∠BCP = 180°
15° + 20° + m∠BCP = 180°
m∠BCP = 145°
m∠ACB + m∠BCP = 180° [Linear pair of angles are supplementary]
m∠ACB + 145° = 180°
m∠ACB = 35°
Since, ∠ACB is the inscribed angle and AB is the intercepted arc.
Therefore, m(arc AB) = 2m(∠ACB)
m(arc AB) = 2 × 35°
= 70°
Therefore, Option (A) is the correct option.
ANSWER QUICKLY PLEASE AND THANKYOU!
Find the equation of the line for each situation.
1) a line passing through the point (3, 4) and having a slope of -2
2) a line passing through the points (1, -1) and (9, 3)
I'll mark your answer as the brainiest idc I'm just stumped
What is the volume of the cylinder below?
A. 196pi units3
B. 784pi units3
C. 98pi units 3
D. 112pi units 3
Answer:
196π units^3
Step-by-step explanation:
The volume of a cylinder is:
πr^2h
SINCE, there is no given pi, the formula will be:
r^2h
Use the formula on the given dimensions:
r^2h
= (7^2) 4
= (49) 4
= 196
So we could just leave the final answer as:
196π
The real volume will be solved once π is given.
I hope I helped!
The volume of the cylinder given is 196 π, Option A is correct.
The volume of the cylinder is given by V=πr²h
Where r is radius of cylinder and h is the height of the cylinder.
V is the volume
r=7
h=4
Now plug in these values in volume formula.
V=π(7)².4
=π.49.4
V=196π
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Since a sample data shows that a linear correlation coefficient between two variables is about 0.08, then it rules out a possible causal relationship between the two variables.
Answer:
False
Explanation:
A linear correlation coefficient is used to measure the the level of relationship between two seemingly dependent and independent variables. A relationship exists between two variables in linear correlation if one affects the other, either negatively or positively never zero. If linear correlation has a negative value then one variable increases while the other decreases. If linear correlation coefficient is positive then both variables increase together. If zero then there is no relationship as one variable's increase or decrease has nothing to do with the other. In the case above, correlation is positive at 0.08 hence we can say that there is a relationship between the two variables.
Which of the following points is not a solution of the inequality y ≥ |x| + 3?
(-3, 6)
(0, 4)
(-3, 0)
========================================================
Explanation:
If we plug the coordinates of point A into the inequality, then we get
y ≥ |x| + 3
6 ≥ |-3| + 3
6 ≥ 3 + 3
6 ≥ 6
Which is true. Since we're looking for a non-solution, we rule out choice A.
You should find choice B is a similar story to choice A, so we can rule this out as well.
-----------
Choice C is the answer because
y ≥ |x| + 3
0 ≥ |-3| + 3
0 ≥ 3 + 3
0 ≥ 6
which is false.
Check out the graph below and notice how point C is not in the shaded solution region, and it's not on the boundary either. This is a visual way to quickly find the answer.
The boundary line y = |x|+3 is solid because of the "or equal to". We shade above the boundary line due to the greater than sign.
C=-(251x3+281)+3X251-(1-281)
Answer:
-1
Step-by-step explanation:
=-251x3+281 +251x3-1+281
=-1
HELP QUICK PLEASE!
Given: AC BD and AD BC
B
D
What postulate could prove DCA ACDB
O Side-Side-Side
O Side-Angle-Side
Angle-Side-Angle
Angle-Angle-Side
Answer:
Step-by-step explanation:
Side - side - side. In fact the two triangles have the side CD in common
What is true about angle ∠APD?
Answer:
HEY MATE FIRST OF ALL THE QUESTION IS NOT COMPLETE. TRY MAKING IT MORE CLEAR NEXT TIME !
Step-by-step explanation:
IF THE QUESTION IS THIS IN THE BELOW THEN HERE IS THE ANSWER .
What is true about angle ∠APD?
It is to angle Angle A P C.
It is to angle Angle C P B.
SOLUTION :
Answer: It is supplementary to angle Angle A P C.
It is vertical to angle Angle C P B.
I hope this help :)
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)
Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)
Please Explain.
Part A: The amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s is 6.045 × 10⁴⁰ ergs.
Since the sun produces 3.9 × 10³³ ergs of radiant energy per second, which is a rate, r = 3.9 × 10³³ ergs/s.
We require the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s.
So, this heat Q = rate × time
Q = rt
Substituting the values of r and t into the equation, we have
Q = 3.9 × 10³³ ergs/s × 1.55 × 10⁷ s
Q = 6.045 × 10³³ × 10⁷ ergs
Q = 6.045 × 10⁴⁰ ergs
So, the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s is 6.045 × 10⁴⁰ ergs.
Part B: The measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.
Since 1.8 × 10⁻² mm = 1.8 × 10⁻² mm × 1cm/10 mm = 1.8 × 10⁻³ cm (since 10 mm = 1 cm) and
1.8 × 10² mm = 1.8 × 10² mm × 1 cm/10 mm = 1.8 × 10 cm = 18 cm (since 10 mm = 1 cm)
Since the human hair is small and its diameter of human hair cannot be 18 cm since 18 cm is a large diameter, then the diameter of the human hair has to be 1.8 × 10⁻³ cm = 1.8 × 10⁻² mm which is a small value.
So, measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.
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Answer:
WAS THE OTHER ANSWER CORRECT????
Step-by-step explanation:
f(x) = x2 + 3x + 2 is shifted 2 units left. The result is g(x). What is g(x)?
Answer:
[tex]g(x) = x^2+7x+12[/tex]
Step-by-step explanation:
If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.
We have the function:
[tex]f(x)=x^2+3x+2[/tex]
And we want to shift it two units to the left.
Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:
[tex]g(x) = f(x+2)=(x+2)^2+3(x+2)+2[/tex]
Simplify. Expand:
[tex]g(x) = (x^2+4x+4)+(3x+6)+2[/tex]
Combine like terms. Hence:
[tex]g(x) = x^2+7x+12[/tex]
The length of a boat in scale drawing is 8 in. Find the length of the actual
boat if the scale is 1 in = 3 ft.
A)24 in
B.)24 ft
C.) 8 ft
D.) 11 in.
Answer:
B. 24 ft
Step-by-step explanation:
1 in = 3ft
8 in must equal 24 ft since 8 in x 3 ft is 24 ft. So, B.
The length of the boat will be equal to 24 ft.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that:-
The length of a boat in scale drawing is 8 in. Find the length of the actual boat if the scale is 1 in = 3 ft.The actual length will be calculated as follows:-
1 in = 3 ft.
8 in = 8 x 3 ft
8 in = 24 ft.
Therefore the length of the boat will be equal to 24 ft.
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Ronald's home is located 33 miles west and 56 miles north from his hotel. Find the distance from his hotel to his home.
The distance from his hotel to his home is 89 miles.
What is the distance?Distance is defined as an object's entire movement without regard for direction. The distance can be defined as how much ground an object has covered regardless of its starting or ending place.The quantity of space between two things, or the state of being far apart, is defined as distance. A five-foot gap between two tables is an example of distance. The disparity between two sides of an issue is an example of distance.Solution -Given - Ronald's home is located 33 miles west and 56 miles north of his hotel.
To find the distance between Ronald's hotel to his home, add the distance.
∴ [tex]33 + 56 = 89[/tex]
Therefore, the distance from his hotel to his home is 89 miles.
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Please help me out with this one!
Answer:
87 in^2
Step-by-step explanation:
24 + 18 + 15 + 30
the 30 is 2(1/2 * 5 * 6)
please I really need help with this
Answer:
24
Step-by-step explanation:
(1+25) - (16)(1/8)
26 - 2
24
Cheers
Answer:
24
Step-by-step explanation:
(1+5^2) -16 ( 1/2)^3
PEMDAS
Parentheses first
Exponents in the parentheses
(1+25) -16 ( 1/2)^3
Then add in the parentheses
(26) -16 ( 1/2)^3
Then exponents
(26) -16 ( 1/8)
Then multiply
26 - 2
Then subtract
24
If f(x)= 2x^2+1, what is f(x) when x=3
Hey there!
f(x) = 2x^2 + 1
y = 2x^2 + 1
y = 2(3)^2 + 1
3^2
= 3 * 3
= 9
y = 2(9) + 1
2(9) = 18
y = 18 + 1
y = 19
Answer: y = 19
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The answer is:
f(3) = 19
Work/explanation:
To evaluate the function, I plug in 3 for "x" :
[tex]\rm{f(x)=2x^2+1}[/tex]
[tex]\rm{f(3)=2(3)^2+1}[/tex]
Then, I square 3:
[tex]\rm{f(3)=2\times9+1}[/tex]
Take caution here; we do not add 9 + 1, we multiply 2 times 9 first, and only then, we add 1.
[tex]\rm{f(3)=18+1}[/tex]
[tex]\rm{f(3)=19}[/tex]
Hence, the answer is f(3) = 19.Can someone help me with this math homework please!
Answer:
The graph for a member's yearly cost for total game tokens purchased would have a y-intercept of (0, 60). However, the nonmember's yearly cost would have a different y-intercept of (0,0). This is because the member's yearly cost has a yearly initial fee of $60, while as the nonmember yearly cost doesn't include an inital fee. Also, the graph for the nonmember's yearly cost would be steeper than the member's graph because the slope 1/5 is greater than 1/10.
Hope this helps (●'◡'●)
The fractions 1/10 and 1/5 convert to 0.1 and 0.2 respectively.
So the equations y = (1/10)x+60 and y = (1/5)x are the same as y = 0.1x+60 and y = 0.2x in that order.
We see that the nonmember cost graph is steeper since the slope 0.2 is larger than 0.1; the further we move away from 0, the steeper the slope. A steeper slope means that you pay more per token. This is the unit cost.
Specifically, you would pay 0.20-0.10 = 0.10 more dollars per token if you are a nonmember compared to if you are a member.
---------------------------
Also, notice that the y intercepts of y = 0.1x+60 and y = 0.2x are 60 and 0 in that order. The members pay an up front fee of $60 before they can buy any tokens. Nonmembers don't have to pay an upfront cost.
Visually, the graph for the members will be much higher up compared to the nonmembers graph. Both lines are increasing, but the members graph is increasing less overall. At some point, the two lines intersect. After this point, it makes more sense to be a member.
Which of the following could be the first step in solving the equation below ? 5 ^ x = 21
Answer:
D
Step-by-step explanation:
usually when your variable is an exponent you always take the log of both sides.
The possible first step of solving the equation is log 5^x = log 21
How to determine the first step?The equation is given as:
5^x = 21
Take the logarithm of both sides of the equation
log 5^x = log 21
The above represents the possible first step of solving the equation
Hence, the possible first step of solving the equation is log 5^x = log 21
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PLEASE ANSWERRRRR UR SO COOL IF YOU DOOOO PLSSSS
Answer:
3x-7y and -7y+ 3x
Step-by-step explanation:
3x + (-7y) = (-7y) + 3x
Answer:
Step-by-step explanation:
The first set of expressions are equivalent; they are identical except for order of the terms.
Select the relationship that does represent a function.
Answer:
c
Step-by-step explanation:
