If a map has a scale where 6 cm represents 8 km, using proportion, the actual distance in km that 8 cm represents is: 10.7 km.
Given the following:
Scale of map: 6 cm represents 8 kmRequired:
Actual distance that 8 cm on the map represents.
We would apply our knowledge of proportion to solve this problem as follows:
Let x represent the actual distance we are looking.
Thus, the following proportion can be made:6 cm = 8 km
8 cm = x km
Cross multiply[tex]x = \frac{8 \times 8}{6} \\\\x = 10.7 $ km[/tex]
Therefore, if a map has a scale where 6 cm represents 8 km, using proportion, the actual distance in km that 8 cm represents is: 10.7 km.
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Half of a number, increased by 4, is 18. What is that number?
Answer:
24
Step-by-step explanation:
because 18-4=12 and if 12 is the half of the # the number has to be 24
12(2)=24
help me I don't get this ?
Answer:
Solution: (3,5)
Step-by-step explanation:
y = x + 2 and
y = - x + 8
y = y
x + 2 = -x + 8
x + x = 8 - 2
2x = 6
x = 6/2
x = 3
Substitute x for 3 in one of the equations to find y.
y = 3 + 2
y = 5
please help asap!!!!!!
Answer:
56
Step-by-step explanation:
1. We can use the exterior angle theorem to find the value of y. The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two remote sides. This means that (y - 25) + (y + 12) = y + 43
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex]y + 43 = y - 25 + y + 12[/tex] [tex]y + 43 = (y+y)+(-25+12)[/tex] [tex]y + 43 = 2y -13[/tex]Step 2: Subtract 2y from both sides.
[tex]y + 43 - 2y = 2y - 13 - 2y[/tex] [tex]-y + 43 = 13[/tex]Step 3: Subtract 43 from both sides.
[tex]-y + 43 - 43 = 13 - 43[/tex] [tex]-y = -56[/tex]Step 4: Divide both sides by -1.
[tex]\frac{-y}{-1} = \frac{-56}{-1}[/tex] [tex]y = 56[/tex]Step 5: Check if solution is correct.
[tex](56) + 43 = (56) - 25 + (56) + 12[/tex] [tex]109 = 31 + 56 + 12[/tex] [tex]99 = 87 +12[/tex] [tex]99 = 99[/tex]Therefore, y = 56.
24. What term describes a transformation that does
not change a figure's size or shape?
A. Similarity
B. Rigid motion
C. Collinearity
D. Symmetry
Rigid Motion
Step-by-step explanation:
...........
Answer:
letter c.collinearity po sagot diyan
You have 7 times as many nickels
as pennies. You have 16 nickels
and pennies altogether. How
much money do you have in all?
The total money you have is $40.14.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
There are 7 times as many nickels as pennies
Let there are n nickles and p pennies.
⇒ p = 7n
Now, there are 16 nickels and pennies altogether
⇒ p + n = 16
Put p = 7n we get,
⇒ 7n + n = 16
⇒ 8n = 16
⇒ n = 16/8
⇒ n = 2
Therefore, p = 7*2
⇒ p = 14
Thus there 14 pennies and 2 nickels.
Now, since 1 penny = 0.01 dollars
and 1 nickel = 20 dollars
⇒ 14 pennies = 14*0.01 dollars = 0.14 dollar
and, 2 nickel = 2*20 dollars = 40 dollars
So, Total money = $40 + $0.14
⇒ Total money = $40.14
Thus, the total money you have is $40.14.
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Heyyy help please…?.?.?.?.?.?
Answer:
52 ounces 3.25 times 16 is 52
Lin AB is parallel to CD
what is the measure of 4
Answer:
BC
Step-by-step explanation:
caus jjaghahgajjhagaahhahha
Find the Linear function model that best fits this data.
Answer:
y=-5x+3
Step-by-step explanation:
I always use desmos when i have graphing questions so i recommend using that!
Hope this helped! Have a great rest of your day!
Please mark me brainliest :)
Answer:
qqqqqqqqqqqqqqqqqqqaqqq
check all that apply. if csc0 =13/12 then:
a:tan0= 12/5
b:sec0= 12/13
c: sin0=12/13
d: cos0=12/13
Answer:
a:tan0= 12/5
c: sin0=12/13
Step-by-step explanation:
cosec t(heta) = 13/12
1/sin t = 13/12
sin t = 12/13
cos t = √ (1 - (12/13)² ) = √ ( 1 - 144/169 ) = √25/169
cos t = 5/13
tan t = sin t/ cos t = (12/13) / (5/13) = 12/5
sec t = 1 / cos t = 13/5
Answer: A ) and C ) are correct:
tan theta = 12/5 and sin theta = 12/13
Jed has 4 times as many baseball cards as Ramon? Together, they have 60 baseball cards. How many baseball cards does Jed have?
Answer: 15
Step-by-step explanation:
4 multiplied by x (x= number of cards Ramon has) = 60 cards total
4x=60
4/60=15
x=15
PLS MARK BRANLIEST
Gas right now is $ 2.99 per gallon !! AH !!! How much will it clllost to fill the tank of my car that holds 9 gallons ?
Show all work...
Answer:
$26.91
Step-by-step explanation:
Multiply $2.99 with 9.
Reason is that its $2.99 a gallon for gas and you need 9 gallons to fill up your vehicle
That equals $26.91.
Answer:
$26.91
Step-by-step explanation:
Since 1 gallon costs $2.99, multiply 2.99 by 9.
2.99 x 9
= $26.91
It will cost you $26.91 to fill up your tank that holds 9 gallons.
what is the value of y
a cannot be determined
b 120°
c 60°
d 66°
Latitud y longitud de la República Dominicana
Answer:
Uwu
Step-by-step explanation:
Describe how to graph a line using the slope amen y intercept
Answer:
The Slope-Intercept form of the equation of a line is: y=mx + b
where m=slope (often called 'rise over run')
b = y-intercept (the point on the y-axis when x=0)
Suppose the value of x varies from x = a to x = b . There are at least two ways of thinking about what percent x changed by. We'll explore two of them here. For each of the following questions, write an expression in terms of a and b to answer the question. Method 1 b is how many times as large as a ? times as large Therefore, b is what percent of a ? % Hence, if x varies from x = a to x = b , x changes by what percent?
The change in the value of x, as a percentage, is given by:
[tex]\frac{b - a}{a} \times 100\%[/tex]
The percentage change is given by the change multiplied by 100% and divided by the initial value.
In this question, x varies from [tex]x = a[/tex] to [tex]x = b[/tex], which means that the initial value is a, and the change is b - a. Then, the percentage chance in the value of x is given by:
[tex]\frac{b - a}{a} \times 100\%[/tex]
A similar problem is given at https://brainly.com/question/24729807
Answer:
Step-by-step explanation:
i. b is how many times as large as a?
b/a
ii. Therefore, b is what percent of a?
b/a*100
iii. Hence, if x varies from x=a to x = b, x changes by what percent?
(100b)/a-100
Rationalise the denominator and simply
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve :
[tex] \dfrac{24}{ \sqrt{6} } [/tex][tex] \dfrac{24}{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} } [/tex][tex] \dfrac{24 \sqrt{6} }{6} [/tex][tex]4 \sqrt{6} [/tex]Answer:
4√6
Step-by-step explanation:
=> 24/√6 ×√6/√6
=> 24√6/6
=> 4√6
hope it's helpful to you ☺️
The number of workers w(t) for each Medicare beneficiary (each person receiving Medicare benefits) is approximated by the function w(t)=-0.05 t+4,$ where t is the number of years after 2000. Use an inequality to determine those years for which there will be less than 2 workers for each Medicare beneficiary.
Step-by-step explanation:
In 2020, 62.6 million people were enrolled in the Medicare program, which equates to 18.4 percent of all people in the United States. Around 54 million of them were beneficiaries for reasons of age, while the rest were beneficiaries due to various disabilities.
What is cos(338)? Solve by hand, no calculator.
Correct answer gets BRAINLIEST.
9514 1404 393
Answer:
0.927184
Step-by-step explanation:
Assuming you want cos(338°), it is equal to cos(22°). This value is an irrational root of a 26th-degree polynomial. (Neither the polynomial, nor the root are easy to find by hand.)
The values of trig functions for 30° and 45° are well-known, as are half-angle and angle sum/difference formulas. The nearest angle for which cosine is relatively easy to find is 22.5°. A 2nd-order Maclaurin series expansion of the cosine function about that angle gives the approximation ...
cos(x) ≈ cos(π/8)(1 -π²/128) +π/8·sin(π/8) +(π/8·cos(π/8) -sin(π/8))x -1/2·cos(π/8)x²
For your angle of 22°, the value of x needed in this expression is 11π/90. The values of cos(π/8) and sin(π/8) are the irrational numbers ...
cos(π/8) = √(2 +√2)/2 ≈ 0.92387953
sin(π/8) = √(2 -√2)/2 ≈ 0.38268343
If you use the approximation pi ≈ 355/113, both for the above formula and for the angle of interest, this reduces to the sum ...
cos(22°) ≈ 71√(2-√2)/16272 +132383951√(2+√2)/264777984
This would be tedious to calculate by hand, but is not impossible. The value this sum produces will be correct when rounded to 7 decimal digits.
__
Before calculators, trig function values were found in published tables. These days, tables are available on-line. Previously, they were published in books, usually along with information that helped with interpolation between table values, when necessary. The attachment shows a portion of an online cosine table suitable for answering your question.
_____
Additional comment
Before calculators, mathematicians spent lifetimes calculating accurate trig tables. For all but a very few angles, the cosine function of rational degree values will be an irrational number, as it is for cos(22°).
Use the Rational Zero Theorem to list all possible rational zeros for the given function.
f(x) = x^3 + 10x^2 + 15x – 14
9514 1404 393
Answer:
±1, ±2, ±7, ±14
Step-by-step explanation:
The rational root theorem tells you any rational roots will be of the form ...
±(divisor of the constant)/(divisor of the leading coefficient)
For this function, that means rational roots will be of the form ...
±(divisor of 14)
Those divisors are 1, 2, 7, 14. Possible rational roots are ...
±1, ±2, ±7, ±14
_____
Additional comment
The graph shows this function has 3 irrational roots.
since 1995, the daily cost of patient care in community hospitals in the US has increased about 4% pee year. in 1995, such hospital costs were an average of $968 per day. Write an Equation to model the cost of hospital care since 1995.
Answer:
answer below
Step-by-step explanation:
y = 968(1 + 0.04)^t. This is before adding it
y = 968(1.04)^26. This is after adding it and including the years for t = time.
I hope this helps, sorry if it doesn't
Find the LCD for the list of rational expressions . 2/(9x), 16/(3x + 6)
Answer:
9×(×+2)
Step-by-step explanation:
i think its ur choice if ur gonna copy the answer
Please help answer and explain.
Answer:
-1/21
Step-by-step explanation:
Look for key words, difference means minus.
So 2/3-5/7. make the denominators the same, so 14/21-15/21
14-15 is -1 so -1/21 Hopefully this will help you!
PLEASE HELP!!! WILL GIVE BRAINILEST
Determine the point and slope from the equation: y + 6 = -(x - 5)
a) point: (6, -5) slope: 1
b) point: (-6, 5) slope: -1
c) point: (5, -6) slope: -1
d) point: (5, -6) slope: 1
Answer:
the answer is C
Step-by-step explanation:
the equation of a line is y-y1=m(x-x1) where x1 and y1 are points on a line
so when you compare the two equations, you get C
If the diameter is knownhow is the radius is determined
A.d/2 or 1/2 pi x d
Consider the following vectors.
u = i + 4 j − 2 k, v = 4 i − j, w = 6 i + 7 j − 4 k
Find the scalar triple product u · (v ⨯ w).
u · (v ⨯ w) =
Are the given vectors coplanar?
Yes, they are coplanar.
No, they are not coplanar.
Need Help? Read It
The scalar triple product is 0.
If v = 4i - j and w = 6i + 7j - 4k, then their cross product is
v × w = (4i - j) × (6i + 7j - 4k)
v × w = 24 (i × i) + 28 (i × j) - 16 (i × k) - 6 (j × i) - 7 (j × j) + 4 (j × k)
v × w = 28k - 16 (-j) - 6 (-k) + 4i
v × w = 4i + 16j + 34k
and
u • (v × w) = (i + 4j - 2k) • (4i + 16j + 34k)
u • (v × w) = 4 + 64 - 68
u • (v × w) = 0
Yes, they are coplanar.
The vectors v and w together span a plane. v × w is a vector that is perpendicular to this plane. Since the dot product of u with this vector is 0, this means u is perpendicular to v × w, which in turn means that u is in the same plane as v and w.
I = $141.60; P = $590; t = 6 years
Find the rate
Please help me with this question now
Answer:
1. Cheque and Debit card
2. Saving account and Chequing account
3. Routine transaction and Transaction register
4. NSF cheque
5. Overdraft protection
6. Financial situation
Step-by-step explanation:
pls answer fast I don't know how to do this stuff
Answer:
it is 1024 terabytes or 1 million gigabytes. It is 2 to the 50th power. 3 to the 11th power for this example. 179622.425146 or 3*10^15
pls mark brainliest
A spinner has 5 equally
sized sections, 3 of which are gray and 2 of which are blue. The spinner is spun twice. What is the probability that the first
spin lands on gray and the second spin lands on blue ?
Write your answer as a fraction in simplest form.
DO
х
5 ?
Which equation represents a line with a slope of -8 and
a y-intercept of 4?
A y = -8x+4
B y = -4x+8
C y = - 8x-4
D y = 8x+4
Answer: A. y = -8x + 4 because the slope goes in front with the x (-8x) and the y intercept is after the slope (4)