Answer:
Step-by-step explanation:
This actually happened to me. I was walking out of a national forest and came up to a stream that I had not crossed. I got my bearings confused and realized I was lost. I knew that if I went Northwest it would be about a 30 mile hike out in heavy woods, with obvious other streams to cross. In the Southeast direction, it would only be about 5 miles.
The sun was out but mostly overhead and no help with directions.
I couldn't wait until the sun went farther West to get my directions. It was a warm Winter day but I wasn't dressed to be there after dark when the temperature fell, even if I did go in the correct direction.
I stuck a stick in the ground and made a mark in the dirt at the end of it's shadow. I sat down for about 15 minutes, then made a new mark in the dirt at the end of the sticks shadow again. I drew a line in the dirt to connect the two marks. This line ran close to the East/West direction, the first mark being the West direction.
I made it out about 5 PM just as the sun was disappearing through the trees.
Stella is sawing boards to make a deck. What is the area of the deck?
11 ft
5,
3 ft
10 ft
A. 112.5 square feet
B. 87.5 square feet
C. 120 square feet
D. 95 square feet
Answer:
87.5
Step-by-step explanation:
The area of the deck is 87.5 square feet.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
The given figure, can be divided into two triangles and 1 rectangle.
Here, area of a triangle = 1/2 ×Base×Height
= 0.5×5×3
= 7.5 square feet
Area of right triangle = 1/2 ×5×10
= 25 square feet
Area of a rectangle = Length×Breadth
= 11×5
= 55 square feet
Total area = 55+25+7.5
= 87.5 square feet
Therefore, the area of the deck is 87.5 square feet.
Learn more about the area here:
https://brainly.com/question/27683633.
#SPJ2
Please don’t answer if you don’t understand this
Name the angles and sides of each pair of triangles that are congruent.
Answer:
Corresponding parts are congruent
ΔGHF ≅ ΔGHLCongruent parts:
Sides
GH ≅ GH, HF ≅ HL, GF ≅ GLAngles in simple form
∠H ≅ ∠H, ∠F ≅ ∠L, ∠G ≅ ∠GAngles in full format
∠GHF ≅ ∠GHL, ∠GFH ≅ ∠GLH, ∠FGH ≅ ∠LGH----------------------------------------------------------------------------------
ΔWXY ≅ ΔDCYCongruent parts:
Sides
WX ≅ DC, XY ≅ CY, WY ≅ DYAngles in simple form
∠X ≅ ∠C, ∠Y ≅ ∠Y, ∠W ≅ ∠DAngles in full format
∠WXY ≅ ∠DCY, ∠WYX ≅ ∠DYC, ∠XWY ≅ ∠CDY----------------------------------------------------------------------------------
ΔCBD ≅ ΔJKLCongruent parts:
Sides
CB ≅ JK, BD ≅ KL, CD ≅ JLAngles in simple form
∠B ≅ ∠K, ∠D ≅ ∠L, ∠C ≅ ∠JAngles in full format
∠CBD ≅ ∠JKL, ∠CDB ≅ ∠JLK, ∠BCD ≅ ∠KJL9514 1404 393
Answer:
angles: ∠GHF≅∠GHL, ∠F≅∠L, ∠FGH≅∠LGH; sides: GH≅GH, GF≅GL, HF≅HLangles: ∠W≅∠D, ∠X≅∠C, ∠XYW≅∠CYD; sides: WX≅DC, WY≅DY, XY≅CYangles:∠C≅∠J, ∠B≅∠K, ∠D≅∠L; sides: CB≅JK, CD≅JL, BD≅KLStep-by-step explanation:
The key with naming corresponding parts is to use the congruence (or similarity) statement. Corresponding vertices are those that are in the same position in the congruence statement, regardless of what the figure may look like.*
Angles can be named using the letter at its vertex--if there is only one angle with that vertex--or using three letters. The three letters name a point on one ray, the vertex, and a point on the other ray. When naming corresponding angles from a congruence statement, it is nice (but not absolutely essential) to name the corresponding rays in the same order. In any event, the named vertices must be corresponding.
Sides are named using two letters--the points at the end of the side. The points used to name corresponding sides must come from the same positions in the congruence statement. Technically, side named AB is the same as side BA, but it is nice to use corresponding points in the same order when naming corresponding sides. Example: in the first figure, CB≅JK, but it is also true that BC≅JK because CB can be named either as CB or BC. In both cases, the points named are the 1st and 2nd in the congruence statements.
In the answer section above, we have used 3-letter angles where a vertex is shared by two or more angles. We have used single-letter names for angles where there is no ambiguity. When asked to name all the names, as here, it is best to make use of a pattern you understand. For angles, we worked left-to-right down the congruence statement; for sides we used the pattern 12, 13, 23 for the positions of the letters in the congruence statement.
_____
* Sometimes, poorly-edited curriculum materials will misstate the congruence statement. It is best to report the problem to your teacher in those cases. Sometimes, the figure is intentionally misleading (as in the second problem here). For those, you must pay careful attention to the congruence statement.
What did this student do incorrectly to find the percent change from 14 dollars to 10 dollars?
Answer:
I don't know what he did wrong, but to work out the percentage change, you do 10 ÷ 14, which gives you 0.71.
1 - 0.71 = 0.29
0.29 × 100 = 29% You multiply by 100 to get your percentage change value.
29% is the percentage change.
I hope this helps you!! ^-^
write 3450 in scientific notation form. b) write 234 x 10^16 in standard form. c) Population of kuwait is 2.4million. It is 4/5 population of Hong Kong. Calculate the population of kuwiat as percentage of Hong kong population.
Answer:
a; 3.45 * 10^3
b) 2.34 * 10^18
c) 80%
Step-by-step explanation:
a) 3450 in standard form
To write in standard form, we have to place a decimal at the back of the first non-zero number
we have this as ;
3.450
The count of numbers after the decimal point is 3
This will be the power to which 10 will be raised
We have this as;
3.45 * 10^3
b) 234 * 10^16
Let us write 234 in standard form
That will be;
234 = 2.34 * 10^2
So we have ;
2.34 * 10^2 * 10^16
Using the law of indices, we have;
2.34 * 10^(2 + 16) = 2.34 * 10^18
c) From the question, Kuwait is 4/5 of Hong kong’s population
Let Honk Kong’s population be x
4/5 * x = 2.4 million
4x = 5 * 2.4 million
x = 5 * 2.4/4
x = 5 * 0.6
x = 3 million
so writing the population of Kuwait as a percentage of that of Hong kong, we have
2.4/3 * 100%
= 0.8 * 100% = 80%
Which equation is equivalent to 2 - 2(3x - 1) = 2?
A.-6x = 2
B.-5x = 2
C.-6x + 4 = 2
D.-5x + 4 = 2
EXTRA POINTS :) what is the value of x??
Answer:
x = 17
Step-by-step explanation:
corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so
6x + 8 + 4x + 2 = 180° then combine like terms ( 6x and 4x, 8 and 2 )
10x + 10 = 180 subtract 10 from both sides
-10 -10
10x = 170 divide each side by 10
/10 /10
x = 17
What are two different ways you could find the experimental probability of the event that martin does not draw a red marble?
Answer:
See Explanation
Step-by-step explanation:
Given [Missing Information]
[tex]Red = 12[/tex]
[tex]Blue = 10[/tex]
[tex]Green = 15[/tex]
[tex]Yellow = 13[/tex]
Way 1:
Add up the total marbles that are not red.
[tex]Not\ Red = Blue + Green + Yellow[/tex]
[tex]Not\ Red = 10 + 15 + 13[/tex]
[tex]Not\ Red = 38[/tex]
Divide by total marbles to get the probability;
[tex]Probability = \frac{Npt\ Red}{Total}[/tex]
[tex]Probability = \frac{38}{38 + 12}[/tex]
[tex]Probability = \frac{38}{50}[/tex]
[tex]Probability = 0.76[/tex]
Way 2:
Calculate the probability of choosing red
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{12}{50}[/tex]
[tex]P(Red) = 0.24[/tex]
Apply complement rule (i.e. subtract it from 1)
[tex]P(Not\ Red) = 1 - P(Red)[/tex]
[tex]P(Not\ Red) = 1 - 0.24[/tex]
[tex]P(Not\ Red) = 0.76[/tex]
On a map, two cities measure 5.2 inches apart. The scale of the map is 2in.16miles. What is the actual distance between the cities?
1. Use the Pythagorean theorem to find the missing side of a right triangle that has one leg
measuring 12 inches and the other leg measuring 35 inches. * E
(50 Points)
Pythagorean Theorem Formula: a² + b2 = 2
36 inches
37 inches
O 38 inches
40 inches
Answer:
37 inches.
Step-by-step explanation:
Well, we know the formula is a²+b²=c²
So, first plug in leg one and leg two:
12²+35²=c²
Now, solve.
144+1225=c²
1369=c²
Okay, so we have to square root 1369 to find c.
The square root of 1369 is 37.
Therefore, the answer is 37 inches.
Mrs. Johnson measured 3 rectangular rooms that she wants to tile. What is the total area of the rooms?
Answer:
Find the area of each room and add the areas
Step-by-step explanation:
Please find the full question in the attached image
the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together
for example ,
dimension of room 1 = 5 x 3
dimension of room 2 = 2 x 3
dimension of room 3 = 4 x 5
area of room 1 = 15
area of room 2 = 6
area of room 3 = 20
total area = 15 + 6 + 20 = 41
Can I please get help?
Can someone help with this???
.... then which of the following is a solution for x?
(1) x = 5
(3) x = 7
(2) x = 6
(4) x = 8
Answer:
x=7
Step-by-step explanation:
The pattern is: i^1 = i, i^2 = −1, i^3 = −i, i^4 = 1, i^5 = i, i^6 = −1 and repeats again, so x = 7 would be i^20 = [tex](i^{4} )^{5}[/tex] = 1^5 = 1
Does the set of numbers form a Pythagorean triple? Explain.
3, 5, 6
Choose the correct answer below.
Yes, the given numbers do not satisfy the equation a? + b2 = c?
No, because the given numbers do not satisfy the equation a² + b2 = c2.
Yes, because the given numbers satisfy the equation a2 + b2 = c2
No, because the given numbers satisfy the equation a2 + b2 = c2
Answer:
NO
Step-by-step explanation:
Either 3, 5 and 6 satisfy the Pythagorean Theorem or they do not. Here we start with a^2 + b^2 = c^2 and substitute 6 for c (because 6 is the largest of the set): Is 3^2 + 5^2 = 6^2? 9 + 25 = 36? NO
simple angle questoin
Answer:
░░░░░▐▀█▀▌░░░░▀█▄░░░
░░░░░▐█▄█▌░░░░░░▀█▄░░
░░░░░░▀▄▀░░░▄▄▄▄▄▀▀░░
░░░░▄▄▄██▀▀▀▀░░░░░░
░░░█▀▄▄▄█░▀▀░░
░░░▌░▄▄▄▐▌▀▀░░ This is Bob
░▐░░░▄▄░█░▀▀ ░░
▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.
░░░░░░░▀███▀█░▄░░
░░░░░░▐▌▀▄▀▄▀▐▄░░
░░░░░░▐▀░░░░░░▐▌░░
░░░░░░█░░░░░░░░█░
The degree of polynomial 4x ^2 y+x^ 2 -2y ^2 is
Answer:
degree 3
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent of the term within the polynomial.
4x²y = 4x²[tex]y^{1}[/tex] ← with exponent 2 + 1 = 3
x² ← exponent 2
- 2y² ← exponent 2
The term with the largest exponent is 4x²y with exponent 3
Then the polynomial is of degree 3
Is there a triangle whose sides have lengths 12.2 cm, 6.8 cm and 6.5 cm. If not . Why?
Answer:
yes
Step-by-step explanation:
For the given sides to form a triangle.
The sum of any 2 sides must be greater than the third side.
12.2 + 6.8 = 19 > 6.5
12.2 + 6.5 = 18.7 > 6.8
6.8 + 6.5 = 13.3 > 12.2
Thus the 3 given sides form a triangle
What is the lateral area of the prism? PLS HELP PLS ANSWER IF YOU ACTUALLY KNOW N PLS EXPLAIN
Answer. : 72
Step-by-step explanation:
by pythog theorem, the ? side is 5.
we have 5*6 and 4*6 and 3*6, so we have 30 + 24 + 18 = 72
Find all missing angles
5. The graph below shows the height of a
flower based on the number of weeks since it
was planted. What is the linear equation
representing this situation?
Flower Height
13
12
11
10
A. y = 2x + 2
B. y = 3x + 3
C. y = 3x
D. y = 3x + 2
9
10
Weeks
Answer: D. y = 3x + 2
Step-by-step explanation: because that's what it shows in the graph
Answer:
D. y = 3x + 2
Step-by-step explanation:
y = mx + b,
where m = slope = rise/run,
and b = y-intercept
From the graph we see that b = 2, s we have
y = mx + 2
Now we look for the slope. Start at (0, 2), the y-intercept, go up 3, a rise of 3, and right 1, a run of 1 to the next point on a grid line intersection.
m = slope = rise/run = 3/1 = 3
Now we have
y = 3x + 2
Answer: D. y = 3x + 2
What is the ratio of the areas of two circles. The first circle with an area of 50.24 and the other with a radius 4 times that of the first.
Answer:
1:4
Step-by-step explanation:
Since the first circle has an area of 50.24 and the second circle is 4 times that, the ratio is 1:4 because for every 50.24 units of the first circle, there are 200.96 units of the second circle (which is 4 times the amount of the first circle).
x represents a certain number. when the number is multiplied by 3 the result is the same as adding 34 to the number x
Answer:
Equation: 3x = x + 34Solved: x = 17Step-by-step explanation (how to solve):
Write an equation: 3x = x + 34Subtract x from each side, so it now looks like this: 2x = 34Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 17I hope this helps!
The value of x is 17
What is Linear equation?An equation between two variables that gives a straight line when plotted on a graph.
Given,
x represents a certain number
Number is multiplied by 3 = 3x
Adding 34 to the number = x+34
Given,
The number x is multiplied by 3 the result is the same as adding 34 to the number x
Therefore
3x = x+34
3x-x =34
2x =34
x = 17
Hence, the value of x is 17
Learn more about Linear equation here
https://brainly.com/question/11897796
#SPJ2
uh if you help ill give u 5 stars?
Answer:
He can buy no more than 4 earrings.
Step-by-step explanation:
25-9.50= 15.50
15.50÷3.75= 4.1333333
Answer:
Step-by-step explanation:
Can somebody help me please
Hurry please
Answer:
Mean
I'm gonna take a guess
Why is the applied effort only ½ of the weight to be lifted in the movable single pulley system?
Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.
Step-by-step explanation
Just took a test on this, I passed
In the figure below, the vertices of triangle RST are on a circle.
8 in.
6 in.
s
• Line segment TS contains the center of the circle.
• The perimeter of triangle RST is 24 Inches.
What is the circle's radius?
8 inches, because d = 24 – 8 and 2 - 2 = r.
32 inches, because d = 24 – 8 and 2d=1
20 inches, because d = 24 - (8 + 6) and 2d =r
5 inches, because d = 24 - (8 + 6) and d - 2 =r
Answer:
I'm sorry for not answering but have you got the answer to this question
whats the definition of right triangle
Answer:
a triangle with a right angle
Step-by-step explanation:
Answer: A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
Can you guys help out I these questions for a test
the first x < 3 so x could be from - 1 till 3 in this graph
the other x > - 7 so x could be from from - 7 till - 3 in this graph
A hot liquid starts at 93 degrees F. Its temperature decreases at a
constant rate of 9% per minute after it has been placed in a refrigerator.
To the nearest degree, what is the temperature of the liquid after cooling
for 7 minutes? *
Answer:
34.41º
Step-by-step explanation:
0.93 times 9=8.37 degrees per minute
7 times 8.37=58.59
93-58.59=34.41
At Shop A, 2 pounds of crawfish costs $6. At Shop B, 5 pounds of crawfish costs $15. Jacoby says the cost per pound is the same at both shops. Is Jacoby correct? Explain your reasoning.
Answer:
Jacoby is correct.
Step-by-step explanation:
Shop A= $6 ÷ 2 = $3/pound
Shop B= $15 ÷ 5 = $3/pound
Rapid Rental Car charges a $55.00 rental fee plus $0.25 per mile driven. Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
A. Write an equation that can be used to find the number of miles for which the rental cost at both companies would be the same.
Answer:
100 miles
Step-by-step explanation:
Given data
let the number of miles driven be x
and the total charge for x miles be y
Hence the expression for the total charge is
Rapid Rental Car
charges a $55.00 rental fee plus $0.25 per mile driven.
y= 55+0.25x--------------1
Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
y= 45+0.35x--------------2
Equate 1 and 2
55+0.25x= 45+0.35x
collect like terms
55-45=0.35x-0.25x
10=0.1x
x= 10/0.1
x= 100 miles
Hence the mile is 100 miles