To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
Answers
Given:
Angle A = 18.6°
Angle B = 93°
Length of side AB = 646 meters
To find:
the distance across the river, distance between BC
Steps:
Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.
18.6° + 93° + ∠C = 180°
111.6° + ∠C = 180°
∠C = 180° - 111.6°
∠C = 68.4°
Therefore the measure of angle C is 68.4°.
now we can use the law of Sines,
[tex]\frac{BC}{sinA}=\frac{AB}{SinC}[/tex]
[tex]\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}[/tex]
[tex]BC[sin(68.4)] = 646 [sin(18.6)][/tex]
[tex]BC = \frac{646*sin(18.6)}{sin(68.4)}[/tex]
[tex]BC = \frac{646 * 0.3190}{0.9298}[/tex]
[tex]BC = 221.63[/tex]
[tex]BC = 222[/tex] meters
Therefore, the distance across the river is 222 meters.
Happy to help :)
If anyone need more help, feel free to ask
Related Questions
Sharon has a patio in the shape of a rectangle
The length of the patio is I feet
• The width of the patio is w feet
Sharon plans to expand the patio by increasing the length by 50% and increasing the width by 20%
Which of the following expressions could be used to find the area, in square feet, of the expanded patio
O A. (1.51) (1.2w)
O B. (+0.5) Xfw +0.2)
© C. (2 x w) + (0,5 +0.2)
O D. (0.5l) (0.2w)
Answers
Answer:
D
Step-by-step explanation:
The area of the expanded rectangular patio is: D. (0.5l)(0.2w)
What is the Area of a Rectangular Patio?Area = (length)(width)
Given the following:
l = length of patiow = widthNew length = 50% of l = 0.5l
New width = 20% of w = 0.2w
Area of the expanded rectangular patio = (0.5l)(0.2w)
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Find the diameter of the object.
diameter: __ ft
Answers
Answer: 1.6
Step-by-step explanation: So the diameter is the length of the hall sphere so you would times the radius by two to get the diameter wich is 1.6
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answers
Answer:
5/16 pounds
Step-by-step explanation:
The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.
Answer:
0.3125 pounds
Step-by-step explanation:
Each wedge of cheese weights 0.1325 pounds
someone help me on this one math problem pls !!!
Answers
Answer:
4/9
Step-by-step explanation:
hi
PLS SOMEONE NEEDS TO HELP MEE
Answers
Ans: 15,360
NEED HELP ASAP!! Which statement correctly uses limits to determine the end behavior of f(x)?
Answers
The statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have a function:
[tex]\rm f(x) = \frac{7x^2+x+1}{x^4+1}[/tex]
Applying limit:
[tex]\lim_{x \to \pm \infty} \rm f(x)[/tex]
[tex]\rm \lim_{x \to \pm\infty} \frac{7x^2+x+1}{x^4+1}[/tex]
Divide by x^4 on the numerator and denominator, we get:
[tex]\rm \lim_{x \to \pm\infty} \frac{7/x^4+1/x^3+1/x^4}{1+1/x^4}[/tex]
So the value of the limit will be zero whereas x tends to ±∞
Thus, the statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0
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Can someone help me with this pls.
Here are pairs of equivalent expressions in standard form and factored form. Find the missing symbols and numbers that make the equations true. Answers should be numbered and rewritten with the boxes replaced with the proper symbols or numbers. Show work or justification to support your choices and prove that the equations are still true.
Answers
Answer:
[tex](1)\ [12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
[tex](2)\ x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
[tex](3)\ x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
[tex](4)\ x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
[tex](5)\ x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the boxes
Solving (1):
[tex][ \ ]x^2 [ \ ] [\ ]x - 30 = (3x + 2)(4x - 15)[/tex]
Swap the equation
[tex](3x + 2)(4x - 15) = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Open bracket
[tex]12x^2 -45x + 8x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Simplify the like terms
[tex]12x^2 -37x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
So, we have:
[tex][12]x^2 [-][37]x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
i.e.
[tex][12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
Solving (2):
[tex]x^2\ [\ ]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
The above expression illustrates the difference of two squares.
So, complete the first equation with minus
[tex]x^2\ [\ -]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Express 169 as 13^2
[tex]x^2\ [\ -]\ 13^2 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Apply difference of two squares
[tex](x + 13)(x - 13) = (x \[\ ]\ 13){x\ [\ ]\ [\ ])[/tex]
So, the complete expression is:
[tex]x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
Solving (3):
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [\ ]5)(x - [\ ])[/tex]
20 can be expressed as: -5 * -4
So, the expression becomes
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [- ]5)(x - [4 ])[/tex]
Expand
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 - 5x - 4x + 20[/tex]
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 -9x + 20[/tex]
So, the complete expression is:
[tex]x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
Solving (4):
[tex]x^2 + []x + 28 = (x + 7)(x + [])[/tex]
28 can be expressed as 7 * 4
So, the expression becomes
[tex]x^2 + []x + 28 = (x + 7)(x + [4])[/tex]
Expand
[tex]x^2 + []x + 28 = x^2 + 7x + 4x + 28[/tex]
[tex]x^2 + []x + 28 = x^2 + 11x + 28[/tex]
So, the complete expression is:
[tex]x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
Solving (5):
[tex]x^2 + []x - 24 = (x\ []\ [])(x\ []\ [])[/tex]
-24 can be expressed as -3 * 8
So, the expression becomes
[tex]x^2 + []x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Expand
[tex]x^2 + []x - 24 = x^2 +8x - 3x - 24[/tex]
[tex]x^2 + []x - 24 = x^2 +5x - 24[/tex]
So, the complete expression is:
[tex]x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
An equation is formed of two equal expressions. The complete equations are:
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex][tex](x^2-169) = (x+13)(x-13)[/tex][tex]x^2-9x+20=(x-5)(x-4)[/tex][tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex][tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
1. The first equation that is given to us is:
[tex](?x^2)\ ?\ (?x)-30 = (3x+2)(4x-15)[/tex]
Now, if we simply expand the right-hand side of the equation we will get the equation that is mentioned on the left side of the given equation, therefore,
[tex](3x+2)(4x-15)\\\\= 12x^2-45x+8x-30\\\\=12x^2-37x-30[/tex]
Thus, the complete equation will be
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex].
2. The second equation that is given to us is,
[tex]x^2\ ?\ 169 = (x\ ?\ 13)(x\ ?\ ?)[/tex]
Now, if look closely at the equation, and substitute the '-' in the place of '?' the equation we will be in the form of an algebraic equation, therefore, the solution of the equation can be made using the algebraic expression,
[tex]a^2-b^2 = (a+b)(a-b)\\\\(x^2-13^2) = (x+13)(x-13)\\\\\(x^2-169) = (x+13)(x-13)[/tex]
Thus, the complete equation will be
[tex](x^2-169) = (x+13)(x-13)[/tex].
3. The third equation that is given to us is,
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +20, therefore, the digits on the right side of the equation should be such that their product should be +20, as 5 is already given therefore, the other term should be 4 also, the second term is positive but we need the product to be positive, therefore, the sign of the digit 5 will also be negative.
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\\\\x^2\ ?\ (?x)+20 = (x- 5)(x-4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x- 5)(x-4)\\\\= x^2 - 4x-5x +20\\\\=x^2-9x+20[/tex]
Thus, the complete equation is
[tex]x^2-9x+20=(x-5)(x-4)[/tex].
4. The fourth equation that is given to us is
[tex]x^2 + ?x + 28 = (x+7)(x+?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +28, therefore, the digits on the right side of the equation should be such that their product should be +28, as 7 is already given therefore, the other term should be 4. Also, 28 is a positive integer, and 7 is also a positive integer, therefore, the number in the last will be positive as well.
[tex]x^2 + ?x + 28 = (x+7)(x+4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x+7)(x+4)\\\\= x^2 + 4x+ 7x + 28\\\\= x^2 + 11x+28[/tex]
Thus, the complete equation is
[tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex]
5. The fifth equation that is given to us is
[tex]x^2 + ?x -24=(x\ ?\ ?)(x\ ?\ ?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is -24, therefore, the digits on the right side of the equation should be such that their product should be -24, Since the product is negative, therefore, either one of the digits on the right should be negative as well, but the middle term on the right is positive, therefore, the bigger number will be positive while the smaller ones will be negative.
[tex]x^2 + ?x -24=(x+8)(x-3)[/tex]
Now, solving the right side of the equation to get the complete left side of the equation we will get,
[tex](x+8)(x-3)\\\\=x^2 -3x + 8x -24\\\\=x^2 + 5x - 24[/tex]
Thus, the complete equation is
[tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]
Learn more about Equation:
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Jacob spent 3 hours skiing and snowboarding. He skied for 1 hours 25 minutes.
How long did he spend snowboarding?
Answers
Answer:
1 hour and 35 mins
Step-by-step explanation:
On a recent Summative Assessment, the mean score for the Algebra 1 class was 72 and the standard deviation was 7. See the normal distribution curve below that represents the data and answer the following questions.
What score is the 16th percentile?
Answers
==========================================================
According to the empirical rule, roughly 68% of the normal distribution is within 1 standard deviation of the mean.
In this case, that tells us 68% of the population is between x = 65 and x = 79. The center is at mu = 72, which is the highest point. On either side of this center is where the curve goes downward as you move away from the center. Note the symmetry as well. Each tickmark represents 1 standard deviation unit.
Because 68% of the class got scores between x = 65 and x = 79, this means 100% - 68% = 32% of the class got a score x such that x < 65, or x > 79
Cut this in half and get (32%)/2 = 16%
16% of the population is in either tail.
16% of the population is the set of x values such that x < 65; we can say that 16% of the population is more than 1 standard deviation from the mean, and also smaller than the mean.
The 16th percentile is the marker where 16% of the population is below that value.
Therefore, the 16th percentile is the value 65
16% of the class scored less than 65 on the test.
WILL GIVE BRAINLIEST!!!!
Solve the inequality:
n - 48 < 12
Answers
Answer: n < 60
Step-by-step explanation:
n - 48 < 12
n - 48 + 48 < 12 + 48
n < 60
HELP!!!!
I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?
Answers
Your answer will be 7 hope this helps
Answer:
Hi!
Question:I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?
Answer: 7
Explanation: If you add 7+7 you get 14 if you take one from other you will get 6 (7-1=6)
Hillary is sharing a box of candy with her friends. if there are b pieces of candy in the box being split between 3 people, which expression shows how many pieces of candy each person should get?
a. b divided by 3
b. b - 3
c. b x 3
d. b + 3
Answers
Answer:
the answer is A- B/3 or B divided by 3
Step-by-step explanation:
Jello someone please help me
No links or files please
Answers
Answer:
3. 43 4. 84 5. 522
Step-by-step explanation:
Solve 2x – 5 = 7?
What is the answer?
Answers
Answer:
x = 6
Step-by-step explanation:
cellus
Find the volume of the following
square pyramid.
110 cm
8 cm
8 cm
V = [?] cm3
Round to the nearest tenth.
Enter
Answers
Answer:
Step-by-step explanation:
Answer:213.3
Step-by-step explanation: 8x8 =64(the base)x10 (the height) x1/3
Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2
Answers
Does anyone know how to solve this?
Answers
Answer:
H(22) = 54 + 22 = 76
Step-by-step explanation:
...............
Answer:
chug jug
Step-by-step explanation:
with you
- 7th Grade work -
Pls just say if it's a, b, c, or d.
Answers
Answer:
We first need to solve the inequality so,
3 > j/-3 - 7
+7 +7
10 > j/-3
x-3 x-3
-30 > j
D is your answer.
It starts around -30 and the numberline is bold as it goes DOWN. The circle is hallow which also means just greater than.
If y= x³-1 find the value of y if x= -2
Answers
Answer:
Y=19 Hope this helps!!!!
Step-by-step explanation:
please help! i’ve been stuck on this question for the longest.
Answers
Answer:
57%
Step-by-step explanation:
Answer:
I think the first one 57%
Step-by-step explanation:
hope this helps sorry if it doesn't have a good rest of your afternoon/day :) ❤
Victor works for on a farm Mon to Fri. He is paid $6250 per month (before tax). Calculate Victor's annual salary.
Answers
Hope this helps
Brainliest plzz
A map scale has 1cm:3miles the distance between two towns 7 cm what is the real life distance between the two towns?
Answers
Answer: 21 miles
Step-by-step explanation:
7x3 = 21 miles
[tex]\frac{25}{24} x \frac{18}{35} =\\[/tex]
Answers
Answer:
1307/840
Step-by-step explanation:
Please help with this cylinder
Answers
Answer:
x = 4
Step-by-step explanation:
Area of a parallelogram = base times height
Given area = 40
Given height = 4
Given = x + 6
Thus,
40 = 4 * (6 + x )
Step 1 distribute the 4
4 * 6 = 24
4 * x = 4x
we now have 40 = 24 + 4x
step 2 subtract 24 from each side
40 - 24 = 16
24 - 24 cancels out
now we have 16 = 4x
step 3 divide each side by 4
4x / 4 = x
16 / 4 = 4
we're left with x = 4
To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.
(x + 6) * 4
* substitute 4 for x *
(4 + 6) * 4
4 + 6 = 10
10 * 4 = 40
40 = 40
Hence x = 4
Answer:
x = 4
Step-by-step explanation:
X + 6 feet
4 feets
HELP ASAP!! WILL GIVE BRAIN THING AND A THANKS!
Answers
Answer:
42
Step-by-step explanation:
that is the answer i got
help this is due in a few minutes!!
Answers
The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
B. between $135 and $275?
C. more than $240?
Answers
Answer:
Step-by-step explanation:
Today's calculators have statistical functions built in.
A. Here we use:
normalcdf(10,310,205,35), WHICH returns 0.999.
B. normalcdf(135,275, 205,35) = 0.954
C. normalcdf(240, 10000, 205, 35) = 0.159
Help meeeeeeee pleaseeeeeeeeeee
Answers
B is the answer pls mark brainliest
What are the next 3 terms of this pattern? 1056, 1088, 1120..
Answers
Answer:
1,152, 1,184, 1,216
Step-by-step explanation:
First, subtract. 1,088 - 1,056 = 32
Then, add.
1120 + 32 = 1,152
1,152 + 32 = 1,184
1,184 + 32 = 1,216
Lastly, have a nice day!
Answer:
The next three terms are 1152, 1184, 1216.
Step-by-step explanation:
The pattern of this term equation is to add by 32.
1056+ 32 = 1088
1088 + 32= 1120
1120 + 32 = 1152
1152+ 32 = 1184
1184 + 32 = 1216
Could I receive Brainliest please?!
Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.
Answers
Answer:
65°
Step-by-step explanation:
to find angles, use the inverse trig function (in this case, tan^-1)
tan^-1(5/12)
Answer:
65.4
Step-by-step explanation: