Answer:
60
Step-by-step explanation:
The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:
y + 10 = 2y - 40
Subtract y from both sides:
y + 10 = 2y - 40
-y -y
____________
10 = y - 40
Add 40 to both sides:
10 = y - 40
+40 +40
________
50 = y
Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):
y + 10
50 + 10 = 60
OR
2y - 40
2(50) - 40
100 - 40 = 60
Perched upon Pinnacle Point, Peter picks up a peculiar piece of parchment (pictured below).
"This might be a treasure map!" he exclaims as he flips it over, revealing a clue:
P. Point.
673
673673 paces
S. Cove.
861
861861 paces
Under big rock
“These must be the distances to the treasure!” Peter nearly wets himself.
If Peter is currently facing towards Skeleton Cove, how many degrees to his left should he turn before walking
673
673673 paces to the treasure?
Answer:59
Step-by-step explanation:
Which expression represents another method of computing the product given below?6.15*(-3.11)
Answer:
The expression that represents another method of computing
Is
615/100*(-311/100)
Step-by-step explanation:
Given the expression in decimal form, we can convert this to factional form and perform product operations as an alternative computational method
6.15*(-3.11)= 19.13
In fraction 6.15 can be written as
615/100
In fraction -3.11 can be written as
-311/100
Hence The product can also be expressed as fractions
615/100*(-311/100)
Answer:
(6 x (-3.11)) + (0.15 x (-3.11))
Step-by-step explanation:
In the given expression, the term 6.15 can be written as follows.
6.15 = 6 + 0.15
Apply the distributive property.
6.15 x (3.11) = (6 x (-3.11)) + (0.15 x (-3.11))
So, another method of computing the given product is given by the following expression.
6 x (-3.11)) + (0.15 x (-3.11))
Volume of a cone: V = 3 Bh
10 ft
-
-
-
-
-
Answer the questions about the cone.
V = 3 Bh
What is the radius of the cone?
ft
What is the area of the base of the cone?
wf
What is the volume of the cone?
ft?
Answer:
What is the radius of the cone?
5ft
What is the area of the base of the cone?
25ft
What is the volume of the cone?
75ft
Step-by-step explanation:
1) Radius of the cone = 5ft
2) Area of the base of the cone = 78.5 square feet
3) Volume of the cone = 235.5 cubic feet
What is a cone?A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top. The pointed end of the cone is called the vertex, whereas the flat surface is called the base.
According to the given problem,
Diameter of the cone = 10 feet
Radius of the cone = [tex]\frac{diameter}{2}[/tex]
= 5 feet
Area of the base of the cone = [tex]\pi[/tex]r²
= [tex]\pi[/tex] × (5)²
= 78.5 square feet
Volume of the cube = [tex]\pi[/tex]r²[tex](\frac{height}{3})[/tex]
= 235.5 cubic feet
Hence, we can conclude that the cone shown in figure has a radius of 5 feet , base area of 78.5 feet and a volume of 235.5 cubic feet.
Learn more about cone here: https://brainly.in/question/50597516
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What does the statement I a I= 5 mean?
A a is equal to 5.
B a is equal to −5.
C a is 5 units from 0.
D You cannot tell without knowing the value of a.
What is the value of (Negative three-fourths) Superscript negative 4?
Negative StartFraction 256 Over 81 EndFraction
Negative StartFraction 81 Over 256 EndFraction
StartFraction 81 Over 256 EndFraction
StartFraction 256 Over 81 EndFraction
Answer:
The answer is D) 256/81
Step-by-step explanation:
So, 256 is numerator (on top) and 81 is the denominator (on bottom).
I did the thing with on the top and on the bottom bc I always end up looking up what numerator and denominator means. :)
Answer:
its (D)
Step-by-step explanation:
:)
The quantities xxx and yyy are proportional.
xxx yyy
222 141414
666 424242
111111 777777
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r
Answer:
Therefore the constant of proportional is r=7.
Step-by-step explanation:
The quantities x and y are proportional.
x y
i) 2 14
ii) 6 42
iii) 11 77
Since x and y are proportional.
y= rx
(i)
Now plug y= 14 and x=2
14=r.2
[tex]\Rightarrow r=\frac{14}{2}[/tex]
[tex]\Rightarrow r=7[/tex]
(ii)
Now plug y= 42 and x=6
42=r.6
[tex]\Rightarrow r=\frac{42}{6}[/tex]
[tex]\Rightarrow r=7[/tex]
(iii)
Now plug y=11 and x=77
77=r.11
[tex]\Rightarrow r=\frac{77}{11}[/tex]
[tex]\Rightarrow r=7[/tex]
Therefore the constant of proportional is r=7.
Plz help! Kenneth's back yard is in the shape of a rectangle with a length of 12 yards and a width of 10 yards.A bag of grass seed costs $25.99 and covers 400 square feet.How much did Kenneth spend on grass seed to cover his back yard?
Answer:
EASY! First we have to find the area of the back yard.
Step-by-step explanation:
[tex]A=12*10\\A=120[/tex]
So, we have to convert feet to yards(as it's in feet and we are doing our calculations in yards).
(And also, due to the fact it's squared, we have to square our coefficient as well).
The formula states we have to divide by 3, thus:
[tex]\frac{400}{3^{2} } =\frac{400}{9 }=44.444...[/tex]
Hmmm. Might be better if we do it the other way around. Might be simpler.
Thus:
[tex]120*9=1,080[/tex]
So then we divide 1,080 by 400, as the bag covers 400 feet
[tex]\frac{1080}{400} =2.7[/tex]
So, he needs 3 bags(as he cannot use two to cover the entire back yard). He will have a little left over, but that's okay, because he cannot buy 0.7 of a bag.
Then we multiply this by the cost!
[tex]3*25.99=77.97[/tex]
So, Kenneth would have to pay $77.97 and have a little left over!
Hope I did this right!
Hope this helps!
P.S. How are you doing during this shelter-in-place?
A marathon is 26.2 miles. What is the least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon?
Missing part of the question
Miguel has started training for a race. The first time he trains, he runs 0.5 mile. Each subsequent time he trains, he runs 0.2 mile farther than he did the previous time.
What is the arithmetic series that represents the total distance Miguel has run after he has trained n times?
Answer:
The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles
Step-by-step explanation:.
Given parameters
Miguel first run = 0.5 mile
Subsequent run = 0.2 mile
This question is an arithmetic progression.
We'll make use of arithmetic progression formula to solve this
Formula:.
Tn = a + (n - 1)d
Where a = first term
n = number of terms
d = common difference
In this case
a = first run = 0.5 mile
d = subsequent run = 0.2 mile
So, Tn = a + (n - 1)d become
Tn = 0.5 + (n - 1) 0.2
Tn = 0.5 + 0.2n - 0.2
Tn = 0.5 - 0.2 + 0.2n
Tn = 0.3 + 0.2n
The arithmetic series of an arithmetic progression is calculated using
Sn = ½(a + Tn) * n
By substituton, we have
Sn = ½(0.5 + 0.3 + 0.2n) * n
Sn = ½(0.8 + 0.2n) * n
Sn = 0.4n + 0.1n²
b.
Since the race is 26.2 miles then the least number of times is given as
Sn ≥ 26
0.4n + 0.1n² ≥ 26.2
0.1n² + 0.4n - 26.2 ≥ 0
Using quadratic formula
n = (-b ± √(b² - 4ac))/2a
Where b = 0.4 a = 0.1 and C = -26.2
So,
n = -0.4 ± √(0.4² - 4 * 0.1 * ,26.2)/2 * 0.1
n = (-0.4 ± √10.64)/0.2
n = (0.4 ± 3.26)/0.2
n = (0.4 + 3.26)/0.2 or (0.4 - 3.26)/0.2
n = 3.46/0.2 or -2.86/0.2
n = 17.3 or -14.3
Since n can't be negative
n = 17.3 miles
The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles
Answer:
15 times
Step-by-step explanation:
This net can be folded to form a cube with a side length of 20 units.
Answer:
its b!!!!!!!
Step-by-step explanation:
Would you rather....
Answer:
Fred's Fit Place: 4 month membership every trimonthly
Step-by-step explanation:
Fred's Fit Place is less expensive first of all.
Secondly, You could by a one month membership every month, a two month membership every 6 months, a three month membership every 4 months or a 4 month membership trimonthly. If you do the math, the 4 month membership trimonthly is least expensive.
Answer:
Fred Fit's Place
Step-by-step explanation:
3. There is 1/4 of an apple in every container of fruit. Show the number of apples in 5 containers
using a fraction.
Answer:
Answer:
Step-by-step explanation:
Instead, you will use diagrams. To solve such a problem, you must produce a diagram which clearly shows all of the fractions involved in the ... between them have eaten five of the pieces, they have eaten 5/6 of the cake. We also see that ... counting numbers with M<N), then you must show the thing, show it clearly.
THIS IS URGENT HELPPPPP!!!!!!!!
What is the minimum value for g(x)=x^2−18x+79?
Answer:
(9,-2)
Step-by-step explanation:
hope i helped
Which of the following lines goes downwards from left to right?
O y= 2x + 5
O y=2x-6
O y= 2x
O y=-2x + 20
Answer:
D
Step-by-step explanation:
A line with a positive slope goes upwards from left to right.
A line with a negative slope goes downwards from left to right.
The given lines are all in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 5 has m = 2 ← positive
y = 2x - 6 has m = 2 ← positive
y = 2x has m = 2 ← positive
y = - 2x + 20 has m = - 2 ← negative
Thus y = - 2x + 20 goes downwards from left to right
Answer:
D
Step-by-step explanation:
please do it fast
Which is most likely the correlation coefficient for the set of data shown?
–0.65
–0.19
0.19
0.75
Answer:
The answer is C. 0.19 I hope this helped you good luck!
Answer: C. 0.19 Hope this helps!
What is the value for b????
Answer:
the value is 60
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
All interior angles in a triangle add up to 180. So if you have two already, just subtract both angles from 180 to get the last angle. The equation is:
65 + 55 + b = 180
120 + b = 180
-120 -120
___________
b = 60
Which job is NOT a typical work-study job?
A.working in your own business
B.working at campus library or bookstore
C.off-campus job related to your course study
D.serving in the dining hall
Answer:
I feel it is D as you are always on your feet and cant find time to study. That's my guess.
Step-by-step explanation:
Answer:
D. because a waitress doesn't necessarily have to study to work.
Two right triangles, ABD and ACD, were created from ABC by
constructing AD 1 CB.
Follow these steps to prove that sin(B) = sin(C)
1. For
ABD, sin(B) = 1
Answer:
Since their corresponding angles are congruent and the corresponding sides are in proportion
Step-by-step explanation:
For ABD,
Sin (B) = (AD ÷ AB) =1
∴ AD = AB
and if AD = AB
⇒ AD = AC (since AD 1 CB).
From triangle ACD,
Sin(C) = (AD ÷ AC)
Since AD = AC , Hence Sin (B) = Sin (C) = 1
Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)
Answer:
1 is h/c
2 is c sin(b)=h
3 is h/b
4 is b sin(c)=h
5 is substitution
6 is bc
Step-by-step explanation:
right on edge 2020
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51.
Find the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage.
Answer:
[tex]P(x\geq 7)=0.1886[/tex]
Step-by-step explanation:
The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.
So, the probability that x customers will order a nonalcoholic beverage is:
[tex]P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}[/tex]
Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:
[tex]P(x)=\frac{10!}{x!(10-x)!}*0.51^{x}*(1-0.51)^{10-x}[/tex]
Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:
[tex]P(x\geq 7)=P(7)+P(8)+P(9)+P(10)[/tex]
Where:
[tex]P(7)=\frac{10!}{7!(10-7)!}*0.51^{7}*(1-0.51)^{10-7}=0.1267\\P(8)=\frac{10!}{8!(10-8)!}*0.51^{8}*(1-0.51)^{10-8}=0.0494\\P(9)=\frac{10!}{9!(10-9)!}*0.51^{9}*(1-0.51)^{10-9}=0.0114\\P(10)=\frac{10!}{10!(10-10)!}*0.51^{10}*(1-0.51)^{10-10}=0.0011[/tex]
So, [tex]P(x\geq 7)[/tex] is equal to:
[tex]P(x\geq 7)=0.1267+0.0494+0.0114+0.0011\\P(x\geq 7)=0.1886[/tex]
Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886
a 11 gram sample of substance that's used to treat thyroid disorders s has a k-value of 0.1247
Answer:
You don't have a question but I'll answer what I can.
half-life = natural log (.5) / k
half-life = -.693147 / .1247
half-life = 5.561106656
It seems you did not express the k-value properly.
1) A k-value should have a negative value.
2) A k-value should also have units.
For example, the k-value of tungsten 181 is
-0.005723757 / days
Step-by-step explanation:
Final answer:
a half-life of 5.5 days.
Explanation:
To find the half-life (t1/2) using the decay constant (k), the formula that relates them for the decay of a radioactive substance, typically used for first-order kinetics, is t1/2 = ln(2)/k, where ln(2) is the natural logarithm of 2. Given the decay constant k = 0.125, the half-life is calculated as follows:
t1/2 = ln(2) / 0.125
t1/2 = 5.545 / 0.125
t1/2 = 5.5 days
The mass of the substance does not affect the half-life, so the initial 11-gram sample size is not used in the calculation. Thus, the substance's half-life, rounded to the nearest tenth, is 5.5 days.
For all values of x, which expression is equivalent to 4(5x + 3) − 4x? A) 12x + 12 B) 16x + 12 C) 16x + 16 D) 32x + 12
Answer:
B) 16x + 12
Step-by-step explanation:
4(5x + 3) − 4x
= 20x + 12 - 4x
= 20x - 4x + 12
= 16x + 12
Question 5(Multiple Choice Worth 5 points)
(8.01 MC)
Two lines, C and D, are represented by the equations given below
Line C y = x + 14
Line D y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
O (6,20), because both lines pass through this point
O (6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes
Answer:
A is the correct answer have a nice day
Step-by-step explanation:
Answer: a is the answer
Step-by-step explanation:
What is the $x$-intercept of the line perpendicular to the line defined by $3x-2y = 6$ and whose $y$-intercept is 2?
Answer:
Hi, Its still you, huh?
Step-by-step explanation:
3
because because
Answer:
3
Step-by-step explanation:
If JKL ~ MKN, find the value of x.
Answer:
x = 14
Step-by-step explanation:
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
The value of x given that JKL ~ MKN is; x= 14.
According to the question;
JKL ~ MKN; In essence, both triangles are congruent.Based on ratios; We can conclude that;
[tex] \frac{12}{x + 1} = \frac{32}{3x - 2} [/tex]
By cross product, we have;
36x - 24 = 32x + 32.4x = 56x = 14.
Ultimately, the value of x given that JKL ~ MKN is; 14.
Read more on congruent triangles:
https://brainly.com/question/1675117
Please help with this (Will mark brainliest if correct)
8.54
Simplest way to do it is using the Pythagorean Theorem
c^2 = a^2 + b^2
You want c. We can get a and b from the chart by seeing that the horizontal distance from A to B is 8 and the vertical distance is 3. Otherwise,
a = |-4| + 4 = 8, horizontal distance
b = |-5| + |-2| = 3, vertical distance
Then,
[tex]c = \sqrt{ {8}^{2} + {3}^{2} } = \sqrt{73} = 8.54[/tex]
The area of a trapezoid is 39 square millimeters. The height of the trapezoid is 8 millimeters. One of the base lengths of the trapezoid is 5 millimeters. What is the length of the other base of the trapezoid?
Answer: 18 meters
Step-by-step explanation:
Which of the following is the solution set of the equation shown below? 2x(x+3)-5(x+3)=0
To solve the equation 2x(x+3)-5(x+3)=0, distribute the terms within the parentheses and combine like terms. Then, use the quadratic formula to find the solutions of the quadratic equation.
Explanation:To solve the equation 2x(x+3)-5(x+3)=0, let's distribute the 2x and -5 into the terms inside the parentheses: 2x^2 + 6x - 5x - 15 = 0. Combining like terms, we get 2x^2 + x - 15 = 0. Now we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In our case, a = 2, b = 1, and c = -15. Plugging these values into the quadratic formula, we get:
x = (-1 ± √(1^2 - 4(2)(-15))) / (2(2))
x = (-1 ± √(1 + 120)) / 4
x = (-1 ± √121) / 4
x = (-1 ± 11) / 4
So the two solutions are x = 10/4 and x = -12/4, which can be simplified to x = 5/2 and x = -3.
how do you write a quadratic equation in standard form?
Answer:
Powers of the variable descending left to rightright side of the equal sign is 0Step-by-step explanation:
For some constants a, b, and c, the standard form* is ...
ax^2 + bx + c = 0
___
It is nice if the leading coefficient (a) is positive, but that is not required.
The main ideas are that ...
Powers of the variable are descendingAll of the non-zero terms are on the left side of the equal signLike terms are combined_____
* This is the standard form for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."
Change £x to pence
HELP!!!!!
Answer:£1 = 100 pence
Step-by-step explanation:
£1 = 100 pence because you divide the pence by 100 to get the amount of pounds you have.
Let f(x) = x – 4 and g(x) =1/x. The graph of (gºf)(x) is shown below.
What is the domain
(g°f)(x)=1/(x-4)
x-4 !=0 (different from 0 because the denominator can never be 0)
=> x!=4
the domain is R \ {4}
Blake drew a circle with a circumference of 37.68 cm. What is the diameter of that circle?
Given Information:
Circumference of circle = C = 37.68 cm
Required Information:
Diameter of circle = D = ?
Answer:
Diameter of circle = [tex]D = 11.99[/tex] [tex]cm[/tex]
Step-by-step explanation:
We know that circumference of a circle is given by
[tex]C=2\pi r[/tex]
Where r is the radius of circle.
The relation between radius and diameter is given by
[tex]r = \frac{D}{2}[/tex]
Substitute r into above equation of circumference.
[tex]C=2\pi (\frac{D}{2} )[/tex]
[tex]C=\pi D[/tex]
[tex]D = \frac{C}{\pi}[/tex]
[tex]D = \frac{37.68}{\pi}[/tex]
[tex]D = 11.99[/tex] [tex]cm[/tex]
Therefore, the diameter of the circle is 11.99 cm
Answer:
Step-by-step explanation: