The actual distance is: 17500mm
What is a map scale?A map scale is used to show the relationship between the distance on the map and the distance on the earth.
Analysis:
The scale 1:500 is a reduction scale, it means every 1 mm on the map represents 500mm on the ground
So if 1mm on the map represents 500mm on the ground, then 35mm on the map would be 500 x 35 = 17500mm
In conclusion, the actual distance between the two hidden treasures is 17500mm.
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An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
Select the diagrams that would represent the types of animals adopted.
Alt_text
Alt_text
Alt_text
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Part B
How many of each type of animals were adopted?
ferrets,
dogs,
cats
Answer:
there are 3 ferrets,15 dogs,27 cats
Step-by-step explanation:
the ratio of the three
9:5:1
the ferrets,1/15 * 45= 3
the dogs,5/15 * 45= 15
the cats, 9/15 * 45=27
Are the triangles similar?
Answer:
No, because the sides lengths are not proportional.
Step-by-step explanation:
What is the SAS similarity theorem ?By definition, two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional.
What is the AA similarity theorem ?If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.
They both have an angle of 70°This lies between sides of 6/9 and 9/18 respectively for the triangles6/9 = 2/3 and 9/18 = 1/2Hence, the sides are not proportionalThey are not similarhelp me with this for 50 points.
Answer:
1/2 or 1:2
Step-by-step explanation:
3 circles to 6 squares
3/6 simplified is 1/2
Twice the difference of a number and 6 is 5
Use the variable x for the unknown number
To rewrite a word equation as a numerical equation, we can recognize certain keywords and change them into numbers or operations.
twice = multiply by 2difference = subtract'a number' = let this be xis = equalsSolving the QuestionWe're given:
Twice the difference of a number and 6 is 5To solve for x, isolate the variable:
2(x-6) = 5
2x-12 = 5
2x = 17
x = [tex]\dfrac{17}{2}[/tex]
Answer[tex]\dfrac{17}{2}[/tex]
What is the slope of the line passing through the points (2, 5) and (0, -4)?
Show all your work.
Leave your answer as a fraction
Answer:
slope = 9/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-4 - 5/0- 2 = 9/2
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24.
Given right triangle ABC, what is the value of tan(A)?
Answer:
tan(A) = 12/5Step-by-step explanation:
Given a right angle triangle ABC.
If ∠BCA = 90°
the hypotenuse AB = 26
AC = 10 and BC = 24.
Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;
Tan (A) = opp/adj
Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;
tan(A) = BC/AC
tan(A) = 24/10
tan(A) = 12/5
Answer:
[tex]\ tan \ A = \dfrac{24}{10}[/tex]
Step-by-step explanation:
[tex]\sf Tan \ A = \dfrac{opposite \ side \ of \ angle \ A}{adjacent \ side \ of \ angle A}\\\\Tan \ A = \dfrac{BC}{AC}\\\\Tan \ A = \dfrac{24}{10}[/tex]
Look at the diagram. Which angle is supplementary to A. B. C. D.
The angles supplementary. to ∠DOC are ∠DOA and ∠COB.
What is supplementary angle?Two angles are called supplementary when their measures add up to 180 degrees.
1. Take, ∠COB:
So, ∠DOC+ ∠COB = ∠DOB = 180°. (Linear pair)
Hence, ∠DOC and ∠COB are supplementary.
2. Now, take angle DOA:
∠DOC + ∠DOA = ∠COA = 180°. (Linear pair)
Thus, ∠DOC and ∠DOA are supplementary.
Hence, the angles supplementary. to ∠DOC are ∠DOA and ∠COB.
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!!!!HELPPPP!!!! if cos theta = - square root 3 over 2 and pi < theta < 3 pi over 2, what are the values of sin theta and tan theta?
will mark Brainliest for correct answers .
i’m in a final pls help
Answer:
Option 4
Step-by-step explanation:
In Quadrant IV,
tan = +vecos = -vesin = -veIf cosθ = -√3/2, then :
sinθ = -1/2tanθ = √3/3A triangle has 2 angles that each measure 79º.
What kind of triangle is it?
O A. isosceles triangle
OB. equiangular triangle
OC. obtuse triangle
OD. right triangle
Please help I’m not sure about this one x=106
Answer:
Question?
Step-by-step explanation:
where is the Question?
The price of a television in a certain store was a dollars in June. On the first day of each month after June, the price was reduced by 20 percent of the price for the previous month. What was the price of the television during the month of Sep- tember?
Answer:
0.8
Step-by-step explanation:
multiply 1.00 .20 4 times
which is the graph of f(x)=3√x
Answer: The first graph
Step-by-step explanation:
It's the first one. I don't know how to explain, haha.
Please help thanks! Will give brainiest
Answer:
Colinear points: Points that lie on the same line.
Coplanar points: Points that lie in the same plane.
Plane: a flat, 2D surface with no height.
1. Three colinear points: A, B, E
2. Four coplanar points: A, B, C, E
3. A plane containing E: plane S
4. Two points and a line that lie in Plane T: Points F & G, Line L
5. Two planes that contain l: S and T
what is the minimum value of the function 3x^2 -4x +8
Step-by-step explanation:
f(x)=3x²-4x+8
f(1)=(3*1)²-4(1)+8
f(1)=3²-4+8
f(1)=9-4+8 or using BODMAS
f(1)=5+8 or f(1)=9-12
f(1)=13 or f(1)=-3
(50 + brainiest if correct!)
From each square we can construct a second square, whose area is double that of the first square.
Construct from the square abcd below a second square, whose area is double the area of the square abcd.
Answer:
So the first thought would be to make the length and width twice the size of the original square but this would actually cause us to multiply the area by 4.
The second thought was to raise one of the sides to be twice the length or width and that would give us the correct answer since we are just multiplying it by 2. If side AB is the only one that can move then we would just extend that side twice the original length.
negative using self reported delinquency
Answer:
Your question does not make sence
512=-4(-2)^n-1 find n in geometric sequence
Answer:
n = 8
Step-by-step explanation:
512/-4 = -128
-2^? equals -128? Has to be odd since it's negative
-2^1 = -2
-2^3 = -8
-2^5 = -32
-2^7 = -128
But it's -2^n-1 = -128 so you have to add 1
7+1 = 8
So n=8
Answer:
n = 8
Step-by-step explanation:
Rearrange the equation to find n:
512/-4 = [tex](-2)^{n-1}[/tex]
-128 = [tex](-2)^{n-1}[/tex]
[tex](-2)^{7}[/tex] = -128
So, n-1 = 7
n = 8
write 28% as a fraction
Answer:
28% as a fraction can be written in many ways. The most simplest way to convert a percentage to a fraction would just to put it over 100. For example, 50% would be 50/100 therefore 28% would be 28/100.
However, we can simplify that fraction even more by doing (28/4)/(100/4) which would give us 7/25.
Hope this helps!
Rita earns $19.00 per hour. If she gets a 5% raise, what will be her new hourly wage?
A. $19.05
B. $24.00
C. $19.95
D. $18.05
Answer:
C.
Step-by-step explanation:
Find 5% of 19:
19 x 0.05 = 0.95
0.95 + 19 = 19.95
answer is C. 19.95
A legal document contains pages numbered 1 through 50. What is the probability that the lawyer will flip to a page number
that is not a multiple of 4?
• Write your answer in fraction form. Reduce the fraction if necessary.
Provide your answer below:
Using it's concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:
[tex]p = \frac{19}{25}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:
[tex]p = \frac{38}{50} = \frac{19}{25}[/tex]
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Is this figure a quadrilateral?
a.
c.
Cannot determine.
b.
no
Please select the best answer from the choices provided
A
B
C
Answer:
Yes its a quadrilateral
Step-by-step explanation:
It has 4 sides
Answer:
yes
Step-by-step explanation:
It is an irregular quadrilateral
Hope this helps
Select the correct answer. A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day. Which function describes the difference of the number of components assembled per day by the experienced and new employees? A. B. C. D.
The function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Function N represents the number of components that a new employee can assemble per day.
N(t)=(50t)/(t+4)
Function E represents the number of components that an experienced employee can assemble per day.
E(t)=(70t)/(t+3)
In both functions, t represents the number of hours worked in one day. The function which represent the difference of the number of components assembled per day by the experienced and new employees is,
[tex]D(t)=\dfrac{70t}{t+3}-\dfrac{50t}{t+4}\\D(t)=\dfrac{70t(t+2)-50t(t+3)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7(t+4)-5(t+3))}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7t+28-5t-15)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(2t+13)}{(t+4)(t+3)}\\[/tex]
Thus, the function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].
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Answer:
D(t)= 10t(2t+13)/ (t+4)(t+3)
Step-by-step explanation:
solve the equation -8=7x+2/5
Answer:
-6/5 = x
Step-by-step explanation:
Multiply by 5 to get rid of fractions:
-40 = 35x + 2
Subtract by 2 to get all terms on one side:
-42 = 35x
Divide by 35 to get x term:
-42/35 = x
-6/5 = x
Question 4 of 10
If a tree diagram were drawn to determine the number of possible outcomes
when choosing one of 3 salads, one of 5 entrées, and one of 9 desserts, how
many leaves would there be?
O A. 17
OB. 45
C. 135
Please see attached question 12 of 25
option d. 37/2 ÷ 17/4 is correct.
Step-by-step explanation:
[tex]18\ \frac{1}{2} \div 4\ \frac{1}{4} [/tex]
If we have equation like this , we have to simply multiply the denominator with the first term and the product we will get , add the numerator .here we, multiply 2 with 18 and the product will be 36 , 36 + 1 = 37 . Similarly 4×4 = 16 and 16+ 1= 17 .We have to put denominator as it is.[tex] = > \frac{37}{2} \div \frac{17}{2} [/tex]
The figure shows a planter Mrs Washington uses for flowers please help fast
Answer:
67.5 ft^3
Step-by-step explanation:
7.5 * 2 * 3.5 + 3 * 2.5 *2 = 67.5 ft^3
Which is a coeffecient
Answer:
B is a coefficient
Step-by-step explanation:
Coefficient of 2O2 is 2.
B = 2
If Mrs. Hamm divides 7 pounds of potting soil equally into three flower pots, what is the weight of potting soil in one flower pot? A) 3 7 pound B) 7 3 pounds C) 3 1 7 pounds D) 7 1 3 pounds
The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have total weight of the potting soil = 7 pounds
It is divided equally into three flower pots.
So each pot contains = 7/3 potting soil
Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.
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Need help with this topic
Please see attached question I am stuck on.
By looking at this problem:
⇒ must use trigonometric functions:
⇒ (look at image attached for further reference)
Let's solve:
For side 'a'[tex]sin(10)=\frac{a}{13}\\ a = 13sin(10)\\a=2.25743[/tex]
For side 'b'[tex]cos(10)=\frac{b}{13} \\b = 13cos(10)\\b = 12.80250[/tex]
Make sure to round your answer to four decimal points
Answer:
a = 2.2574b = 12.8025Hope that helps!