Answer:
a. 1 200 000 km
b. 0.000 773 cm
c. 67 500 000 000 km²
d. 0.000 000 016 cm²
Step-by-step explanation:
a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.
So, 1 cm : 75000 km = 16 cm : x km
So, 1 cm/75000 km = 16 cm/x km
Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km
(b) Calculate length of a road on the map which is 0.58 km.
Let y be the length of road on the map. So, using our scale
1 cm : 75000 km = y cm : 0.58 km
So, 1 cm/75000 km = y cm/0.58 km
Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm
(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.
Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²
Let z be the actual area of the lake.
So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²
So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²
Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²
(d) Calculate the area of a play field on the map which has has an actual area of 90 km².
Let a represent the area of the play field on the map. Using our scale for the area,
1 cm² : 5 625 000 000 km² = a cm² : 90 km²
So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²
Which of the following expressions has the greatest value? A. |-14 B. 1-8] C.31 D.|12|
Answer:
The answer is C
Step-by-step explanation:
Answer: C: 31
Step-by-step explanation:
Please help ASAP!!!!
- 3/5
Step-by-step explanation:
1(y) = 1 x y
= 1 x (- 3/5)
= - 3/5
Solve the system by substitution.
y = 7x – 20
y = 2x
Answer:
x=4 y=8
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
PLEASE HELP ME ILL MAKE BRAINLIEST!!!!!
I need the correct answer
Answer:
56.7
Step-by-step explanation:
Hello There!
Trigonometric Ratios
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length and the hypotenuse
so the trigonometric ratio we need to use is sin
knowing that sin = opposite side divided by hypotenuse we create an equation
[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]
our final step is to round to the nearest tenth of a degree
so we can conclude that the measure of angle A is 56.7
note: arcsin = inverse of sin
Answer:
56.7
Step-by-step explanation:
so opposite the angle we are working out is "o"And the longest side is the hypotunese but just remember it as "h"a is the remaining side but does not have a value and is blank therefore we need to worry about this sideWe have "o" and "h" which is the formula triangle with sin o/sin*hBut as we are working out the angle(sin) we change the formula so it is sin=0/hsin=51/61sin=0.8then you click the shift or 2nd function button on your calculator and the sin button and this is your answer 56.7so the angle is 56.7Translate each inequality
"18 less than the quotient of a number and -5 is no less than 31"
Answer:61
Step-by-step explanation:
Yesenia is painting the front of the figure below in pink paint. The structure is made
of a cube and a triangular prism.
10.3 feet
9.2 feet
12.5 feet
How much paint does Yesenia need to paint the frorlt of the figure?
100 square feet
115 square feet
179 square feet
213 square feet
Answer:
I cant see the link, try reposting...
Step-by-step explanation:
My sisters name is yesenia
Solve 7x − 2(x + 1) = 6x + 14. (5 points)
−12
12
−16
16
Answer:
C
X=-16
Step-by-step explanation:
Given that x - y = 5 and xy = -6/1/2,
find the value of x² + y².
Answer:
24Step-by-step explanation:
(x - y)² = x² + y² - 2xyx² + y² = (x - y)² + 2xySubstitute given values
x² + y² = 5² + 2(-6/12) = 25 - 1 = 24Answer:
Given that x - y = 5 and xy = -6/1/2,
Step-by-step explanation:
the value of x² + y².
=(x-y)²+2xy=5²+2×[-6 1/2]=25-13=12 is your answer
5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12
Answer:
10c + 12
Step-by-step explanation:
I believe that is the answer please let me know if I am wrong
What is 13^2 ? Help me !
Answer:
13^2 is 169
Step-by-step explanation:
Answer:
169
Step-by-step explanation:
13^2 is 13x13= 169
Hope this helps :)
(PS I included an explanation on exponents)
when you have an exponent you multiply the base number by itself as many times as the exponent says.
Example: 13^5
13 x 13 x 13 x 13 x 13= 371,293
What is the positive solution to this equation?
4x2 + 12 x= 135
com, Tim, and Giulia work at Toys R Us. Giulia is only part-time and makes the least amount of
money each week. Adam is full-time and makes 3 times as much as Giulia. Tim the store
manager and makes $250 more than Adam. Together they all make $1230 each week.
What is the amount each person earns each week from Toys R Us? Write an equation and show
your work for full marks. (4 marks)
Coord
zh
Answer:
its 250 + 530 = 349893
Step-by-step explanation:
PLZ HELP ME LOL
A large cheese pizza cost 7.50. Diego has 40$ to spend on pizzas. How many large cheese pizza can he afford . Explais or show your rwasoning
What is z4 + z4 + z4 + z4?
Answer:
4z
Step-by-step explanation:
The 7th term of the geometric sequence 13, 26, 52, 104, ... is
Answer:
832
Step-by-step explanation:
multiply the original number by 2, seven times.
Log 8 1/32 is equaled to
Answer:
I think the answer wold be -5/3 or -1.666666667 .
The value of the given expression is,
[tex]log_8 \frac{1}{32}[/tex] = -3/5
The given logarithmic expression is,
[tex]log_8 \frac{1}{32}[/tex]
Since we know that,
The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to expressing enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.
We can write the given expression as,
[tex]log_8 \frac{1}{32}[/tex] = [tex]log_8 32^{-1[/tex]
= - [tex]log_8 32[/tex] [ [tex]log_a b^x = x log_a b[/tex]]
= - [tex]log_{2^3} 2^5[/tex]
= - [tex]\frac{3}{5} log_{2} 2[/tex] [ [tex]log_{a^y} b^x = \frac{x}{y} log_a b[/tex]]
= -3/5 [ [tex]log_{a} a = 1[/tex]]
Hence,
[tex]log_8 \frac{1}{32}[/tex] = -3/5
To learn more about exponent visit:
https://brainly.com/question/31242910
#SPJ2
if there 3 cats and 3 dogs how mush would be together
Answer:
6
Step-by-step explanation:
3+3 = 6
Answer:
There is 1 cat for each dog so the ratio would be 1:1 together.
Step-by-step explanation:
This means there are twice as many cats as dogs, or half as ... The ratio of 6:3 reduces to the ratio of 1:1
Luke was packing up his old toys. He managed to squeeze eight toys into a box. If Luke filled up seven boxes, how many toys did he pack total?
Answer:
56????
Step-by-step explanation:
Fred's recipe for a smoothie called for 1/3 of an apple, 1/4 of a lemon, and 2/3 of peach to make a single smoothie. A family of 6 arrives and they all want that smoothie.
Answer:
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Step-by-step explanation:
Recipe for 1 smoothie:
1/3 of an apple
1/4 of a lemon
2/3 of peach
A family of 6 arrives and they all want that smoothie.
Multiply every recipe for 1 smoothie by 6
Recipe for 6 smoothies:
6 × 1/3 of an apple
= 6/3 = 2 apples
6 × 1/4 of a lemon
= 6/4 = 3/2 of a lemon
6 × 2/3 of peach
= 12/3 = 4 peaches
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner
Answer:
5.52 inch
Step-by-step explanation:
Recall :
Area of Sector : θ/ 360 * πr²
Sectors that do not allow movement : (8-3-2) = 3
Total sectors = 8
θ/ 360 = 3/8 ; Area = 35.9
Radius = r
35.9 = 3/8 * π * r²
35.9 / (3/8 * π) = r²
30.472866 = r²
r = √30.472866
r = 5.52 inch
The radius of the spinner is 5.520 inch whose [tex]\frac{3}{8}[/tex] sector area is 35.9 inches square.
It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.
It is required to find the radius of the spinner.
What is the area of the sector?The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.
We know the formula of sector area (A):
[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex] Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree
The remaining sectors = ( Total sectors - Three sectors - Two sectors)
= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token
Total sector = 8
[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]
Putting these values in the above formula, we get:
[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159
[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]
Thus, the radius of the spinner is 5.520 inch.
Learn more about the area of sectors here:
https://brainly.com/question/15849991
Felicia got a designer job with a company that pay $55,000/year. What is Felicia's gross monthly income?
Answer:
Felicia's gross monthly income = $4,583.33 (Approx.)
Step-by-step explanation:
Given:
Annual income = $55,000
Find:
Felicia's gross monthly income
Computation:
Gross income per month = Annual salary / Number of month in year
Gross income per month = Annual salary / 12
Felicia's gross monthly income = Annual salary / 12
Felicia's gross monthly income = 55,000 / 12
Felicia's gross monthly income = $4,583.33 (Approx.)
Identify the volume of the composite figure. Round to the nearest tenth.
Answer:
474.5 ft ³
Step-by-step explanation:
1) Find the volume of the cube
[tex]A=l^3[/tex] where l is the side length
Plug in 9 ft as l
[tex]A=9^3\\A=729[/tex]
Therefore, the volume of the cube is 729 ft³.
2) Find the volume of the cylinder
[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder
Plug in 3 ft as the radius and 9 as the height
[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]
Therefore, the volume of the cylinder is approximately 254.5 ft ³.
3) Subtract the volume of the cylinder from the volume of the cube
729 ft³ - 254.5 ft ³
= 474.5 ft ³
Therefore, the volume of the figure is 474.5 ft ³.
I hope this helps!
Answer:
I think It's A
Step-by-step explanation:
ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically
Answer:
there was 12 pencil's in each package because 12 ×4=48 48 -8=40
can someone help with this i don't get it
Answer:
Lord have mercy thats a bunch of numbers I woud help but i dont know how to start
Step-by-step explanation:
PLS I NEED HELP WITH THIS!!!!
Answer:
Step-by-step explanation:
The volume of a cylinder is
[tex]V=h\pi r^2\\ \\ h=8,\ r=4\\ \\ V=8\pi (4^2)\\ \\ V=8(16)\pi \\ \\ V=128\pi \units^3[/tex]
Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, what is the actual width of the statue, in feet? Your answer can be exact or rounded to two decimal places,
Answer:
2 ft
Step-by-step explanation:
[tex] \dfrac{7}{4} = \dfrac{3.5}{x} [/tex]
[tex] 7x = 4 \times 3.5 [/tex]
[tex] x = 2 [/tex]
Answer: 2 ft
please help as soon as possible and please don’t take advantage of the points
a:1 hour
b:1.5 hours
c:2 hours
d: 3.5 hours
e:5.5 hours
Answer:
2 hours
Step-by-step explanation:
What is the measure of E in degrees?
Answer:
c
Step-by-step explanation:
E=10×10+25
but solve it to make sure
the answer is 130° a p e x
1. a+b+c+d
2. -a+b-c+d
3. ab+cb
4. ab-bc
5. ba+da
Answer:
1 a+b+c+d
=(ab + c+ d)
=ab+ a+c+ a+d
Point T bisects UV. Find UV if UT = 2 inches