Answers
7) Being that x=2, angle N will be equal to 116 .
Note that : adjacent angles (the ones next to each other) adds up to 180 & opposite angles are congruent meaning that they equal each other.
Related Questions
5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.
Answers
Answer:
1.366km
Step-by-step explanation:
The height of the mountain is [tex]3.34Km[/tex]
Right angle triangle:A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.
Let us consider that H represent the height of mountain.
Angle of elevation at point A and C shown in the diagram.
Apply tan function in triangle CBP.
[tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]
Apply tan function in triangle ABP.
[tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]
Substituting the value of equation 2 into equation 1.
[tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]
Hence, The height of the mountain is [tex]3.34Km[/tex]
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How do you write 6.37 x 10^3 in standard form?
Answers
Answer:
6370 is the answer Hope this helps.
Answer:
6.37 x 10^3 in standard form is: 6370x
A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?
Answers
Explanation: We need to find the area of the field using the side angle side method, which uses the equation (ab*sin C)/2.
Thus, we have (120*325*sin 70)/2=18324 square feet.
Farmer need 750.5 feet fencing for his triangular field.
What is triangle?"Triangle is two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.
Formula used
Cosine rule
As per the diagram,
cosθ = (b² +c² -a²) / 2bc
cos 70° = 0.3420
According to the question,
Let AB = c , AC = b are given sides of measure 120 feet and 325 feet respectively.
and BC = a
Angle between given sides be θ = 70°
Substitute the value in the formula we get,
cos70° = [ (325)² +(120)² - a²] / 2(120)(325)
⇒ 0.3420 = [ 120025 - a²] / 78000
⇒ 120025 -a² = 26676
⇒ a² = 93349
⇒ a = 305.5
Total fencing required for triangular field = AB + BC +CA
= 120 + 325 + 305.5
= 750.5 feet
Hence, farmer need 750.5 feet fencing for his triangular field.
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Evaluate the following:
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7-4=3
Will give Brainliest!!!
What is the y=mx+b for the equation x−y=−8?
Answers
Find the value for M.
Answers
Answer:
it is 10
Step-by-step explanation:
Answer:
g
Step-by-step explanation:
g
A coat was originally priced at $80. It went on sale for $70.40. What was the percent that the coat was discounted?
Answers
Answer:
12%
Step-by-step explanation:
(80 - 70.40)/80 * 100 = 12
Find the perimeter of a
square that has a side
length of x +5.
x + 20
2x + 10
4 + 20
PLEASE HELP MEE FAST
Answers
Last week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?
Answers
Answer:
The percent increase is 30%
Step-by-step explanation:
First find the difference
6.50 - 5.00 = 1.50
Divide by the original cost
1.50 / 5.00
.3
Change to percent
.3 = 30%
The percent increase is 30%
Answer:
30%
Step-by-step explanation:
5.0*30%=1.50
5.0+1.50=6.50
A group of 15 people each bought both a book that cost x dollars and a bookmark that cost $1. A group of 3 people each bought both a book that cost x dollars and a backpack that cost $36. Both groups spent the same amount of money. What is the price of the book?
Answers
Answer:
$1.40
Step-by-step explanation:
Answer:
The price of the book is $7.75.
Step-by-step explanation:
Let's first establish an equation.
If I buy a book costing [tex]x[/tex] dollars and a bookmark costing 1 dollars, I will have spent [tex]x + 1[/tex] dollars. So a group of 15 people doing the same will have spent [tex]15(x+1) = 15x + 15[/tex] dollars.
Analogously, the group of 3 people has spent [tex]3(x+36) = 3x + 108[/tex] dollars.
Since we know that both groups spent the same amount of money, we can set the two expressions equal to each other:
[tex]15x+15=3x+108\\12x=93\\x=7.75[/tex]
Because [tex]x[/tex] was the price of the book, which was asked for in the question, we conclude that the answer is $7.75.
I need the answer key for mid chapter check point grade 5 chap 7!! ASAP
Answers
Answer:
3/8
Step-by-step explanation:
1/2 x 3/4 = 3/8
You multiply the top by the number beside it and do the same for the bottom.
I need help bad I'm hella confused!
Answers
Answer:
a. x=-7 b. -8 hope this helps with the rest of them.
Step-by-step explanation:
a you -28 divided by 4 to simplify x
b. this is a little harder because 6 is a double negative. when it has 2 minus signs that makes it a positive. we have to put 6 on the other side of the equal sign. so we have to minus 6 to put it on the other side. This is because on the left its positive so to put it on the right it has to be a negative. -6 plus -2 = -8. so x is = to -8
James rolling A 1-6 Number cube. Which statement is true ? James is equally likely to roll a 4 as an even number. True or false? James is equally likely to roll a 3 as an odd number? True or false? James is more likely to roll a 5 than 2 . True or false? James is equally likely to roll an even number as an odd number.? True or false?
Answers
Answer: James is equally likely to roll an even number as an odd number. this is the answer give me brainliest
PLEASE HELP!!!!! Find the magnitude and direction of the vector <2,7>. Round angles to the nearest degree and other values to the nearest tenth.
7.3; 73°
7.3; 74°
7.4; 73°
7.4; 74
Answers
Answer:
It's 7.3; 74!
Step-by-step explanation:
This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...
Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].
Here, [tex]v=<2,7>[/tex].
Then, magnitude is:
[tex]|v|=\sqrt{2^{2}+7^{2} } \\|v|=\sqrt{4+49 } \\|v|=\sqrt{53} \\|v|=7.3[/tex]
The direction is:
[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].
So, the correct option is 7.3,74°.
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Marco brought $25 to a facility that has indoor batting cages. He can buy 1 token for $1.25, which will give him 15 pitches. He needs to have at least $5 leftover to buy lunch. How many tokens, t, can Marco buy and still have enough money for lunch?
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First what I did was take out the 5 dollars. So I did 25 minus 5.
25 - 5 = 20
Next, I divide the left over 20 dollars by 1.25 to see how many tokens Marco could buy.
20 / 1.25 = 16
Which i came up with 16. So Marco can buy 16 tokens and still have enough money to use to buy lunch.
HOPE THIS HELPS! :)
PLS HELP ASAP rob is saving money for a new mp3 player. For every $15 he saves $8. On Sunday he earns $45 how much does he save
Answers
Answer:
the answer for this problem would be 24 dollars.
How can you tell that the following number is a rational number?
0.251
A. It is a rational number because the decimal terminates
B. It is a rational number because there is a value of 0 in the ones place
C. It is a rational number because the sum of the digits is less than 10
D. It is a rational number because it is not a repeating decimal
Answers
Answer:
In order to be called a 'rational' number, a number must be the quotient that results when one non-zero integer is divided by another. An irrational number can be written as a decimal, but not as a fraction. Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed.
A jar contains sugar. The jar and the sugar have a total weight of 850 g. Anna uses 2/3 of the sugar. The jar and the sugar now have a total weight of 530 g. Work out the weight of the jar.
Answers
Answer:
[tex]J = 370g[/tex]
Step-by-step explanation:
Given
Represent the weight of the Jar with J and the sugar with S
Initially, we have:
[tex]J + S = 850g[/tex]
After 2/3 of sugar is removed we have:
[tex]J + S -\frac{2}{3}S= 530g[/tex]
Required
Determine the weight of the jar
[tex]J + S = 850g[/tex] --- (1)
[tex]J + S -\frac{2}{3}S= 530g[/tex] --- (2)
Simplify (2)
[tex]J + S -\frac{2S}{3}= 530g[/tex]
Take LCM
[tex]J + \frac{3S - 2S}{3}= 530g[/tex]
[tex]J + \frac{S}{3}= 530g[/tex]
Make S the subject in (1)
[tex]J + S = 850g[/tex]
[tex]S = 850g - J[/tex]
Substitute 850g - J for S in [tex]J + \frac{S}{3}= 530g[/tex]
[tex]J + \frac{850g - J}{3}= 530g[/tex]
Multiply through by 3
[tex]3 * J + 3*\frac{850g - J}{3}= 530g * 3[/tex]
[tex]3J + 850g - J= 1590g[/tex]
Collect Like Terms
[tex]3J - J= 1590g-850g[/tex]
[tex]2J= 740g[/tex]
Make J the subject
[tex]J = \frac{1}{2} * 740g[/tex]
[tex]J = 370g[/tex]
The jar weighs 370g
Answer:
370
Step-by-step explanation:
What is the slope of a line that passes through the origin and the point (6, 3)
Answers
Answer:
Slope = 1/2
Step-by-step explanation:
Formula for getting slope using 2 points...
(y2 - y1) / (x2 - x1)
= (3 - 0) / (6 - 0)
= 3 / 6
= 1/2
So...
Slope is 1/2
Hope this helps :)
Let me know if there are any mistakes!!
Answer: The slope is 1/2
Step-by-step explanation:
When a line passes through the origin the equation of the line will be represented in the form y= kx where k is the slope.
To to find k you will need to divide both sides by x.
y = kx
y/x = kx/x
k = y/x
This means that to find k, you will need to divide the y coordinate of the point by the x coordinate.
k = 3/6
K = 1/2
In 1983, a cast-iron pan cost $28.35. Today, a cast-iron pan costs $52.95. If the CPI is 166, what is the percent relation
of the actual price of a cast-iron pan to the expected price?
a The actual price is 11.1% lower than the expected price.
b The actual price is 20.8% lower than the expected price.
The actual price is 31.5% higher than the expected price.
d. The actual price is 12.5% higher than the expected price.
с.
Answers
Answer:
d.
The actual price is 12.5% higher than the expected price
Step-by-step explanation:
The percent relation of the actual price and the expected price is 12.5%
What is the consumer price index?The consumer price index measures the changes in price of a basket of good. It is used to measure inflation.
Price of the cast iron today = $28.35 x (166/100) = $47.06
The percent relation of the actual price and the expected price = ($52.95/$47.06) - 1 = 12.5%
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In the right triangle ABC, CD is an altitude, and c=e+f,by combining three equations it can be shown that a^2+b^2=c^2.One of the equations is c=e+f.which of the following could be the other two equations
Answers
Answer:
Please provide a diagram as the question is confusing.
solve for x? please help
Answers
Answer:
x = [tex]\sqrt{10}[/tex]
Step-by-step explanation:
The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )
x² = 10 ( take the square root of both sides )
x = [tex]\sqrt{10}[/tex]
Answer:
√10
Step-by-step explanation:
taking the smallest triangle;
y as the hypotenuse, x as the adjacent side, 2 as the opposite side
then: y²=x²+2²
x²=y²-2²= y²-4
taking the other triangle;
z as the hypotenuse, x as the adjacent side, 5 as the opposite side
then: z²=x²+5²
x²=z²-5² = z²-25
take both equations,
x²= y²-4
x²= z²-25
y²-4= z²-25
y²= z²-25+4 = z²-21
taking the biggest triangle (whole triangle);
(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side
then; 7²=z²+y²
z²+y²=7² =49
but y²= z²-21;
z²+y² =49
z²+ z²-21 =49
2z²-21=49
2z²=49+21= 70
z²= 70/2 = 35
take x²= z²-25
x²= 35-25 = 10
[tex]x = \sqrt{10} [/tex]
Pretty Please answer this!
Analyze the following image and state
Line of Symmetry
Coordinates of the Vertex, X - intercepts, Y - Intercepts.
Whether the graph is positive or negative.
Answers
Answer:
The x-intercept is where the graph crosses the x-axis, so in this case, the x-intercepts are (-4, 0) and (-2, 0).
The y-intercept is where the graph crosses the y-axis, so in this case, the y-intercept is (0,8).
The line of symmetry splits the graph in two equal halves, and it is x=-3.
Finally, because this graph opens up, the graph is positive.
Let me know if this helps!
Ken placed a 6. feet ladder against a wall , creating the triangle shown in the figure below at what height on the wall does the top of the ladder reach
Answers
Answer: c
Step-by-step explanation:
An 18% tip is left on a $65 dinner bill. 5% tax is added (before tip). What is the total paid?
Answers
Answer: The answer is 68.25
Step-by-step explanation:
You bought a car for $5,000. Each year it depreciates in value by 8.5% which equation can be use to find the value, v, of the car x years after it was purchased?
Answers
Answer:
I believe this is the answer
V=5000(1•0.085)^x
Step-by-step explanation:
sorry if its incorrect i just wanted to help
"v = 5000 * (1-0.085)x" is the formula that is used to determine the car's worth.
What is depreciation?An asset loses value over time as a result of use, damage, or obsolescence. Depreciation is the measurement of this decline. Depreciation, or a decline in asset value, can be brought on by a variety of other variables, such as bad market conditions, etc.
Given, You bought a car for $5,000. Each year it depreciates in value by 8.5%
In this case, we have the following formula:
v = C. (1 - r)ˣ
Where C is the original value of the car, r is the depreciation rate and x is the time in years
Equation to find the value = 5000 * (1- 0.085)ˣ
Therefore, the equation that helps in calculating the value of the car is
"v = 5000 * (1- 0.085)ˣ".
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PLEASE HELP!! ASAP WILL GIVE BRAIN!! AFTER SOLVING QUESTION, GIVE THE REASON(SSS
SAS
ASA
AAS)
Answers
last option:-
∆HOG is congruent to ∆ATCReason:- ASA
Hope it helps ⭐⭐⭐what's a function????
Answers
Answer: Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Step-by-step explanation:
Answer:
A relation of two or more numbers
One input one output
there can be more then one input for the same output
just not more then one output for one input
Someone help for 5 and 6
Answers
algebra 1 evaluating algebraic expressions?
3x=10
Answers
Answer:
x=3.33333333
Step-by-step explanation:
Answer:
x = 10/3
Step-by-step explanation:
Divide the coefficient of x (3) on both sides, 3x/3 = 10/3 - then divide the three and the three to get 1 (which stays as x) and then divide ten by three or just leave it as an improper fraction (this all depends on what your teacher's preference) and then you will get the final answer of x = 10/3 or x = 3.3.
Hope this helps, and if you need additional help regarding this topic feel free to ask me again in the comment section :)