HELPPP!!!!!!
How far is weather station A from the storm?
44.6 miles
19.7 miles
42.2 miles
31.2 miles
Answers
This value is approximate.
============================================================
Explanation:
Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.
Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.
Based on those two interior angles, angle C must be...
A+B+C = 180
107+42+C = 180
149+C = 180
C = 180-149
C = 31
----------------
To sum things up so far, we have these known properties of triangle ABC
angle A = 107 degreesside c = side AB = 24 milesangle B = 42 degreesangle C = 31 degreesLet's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).
b/sin(B) = c/sin(C)
b/sin(42) = 24/sin(31)
b = sin(42)*24/sin(31)
b = 31.1804803080182 which is approximate
b = 31.2 miles is the distance from the storm to station A
Make sure your calculator is in degree mode.
The weather station A is 31.2 miles from the storm
From the triangle shown:
m<B = 90° - 48°
m<B = 42°
m<A = 17° + 90°
m<A = 107°
m<A + m<B + m<C = 180° (Sum of angles in a triangle)
107° + 42° + m<C = 180°
m<C = 180° - 149°
m<C = 31°
The distance between the weather stations A and B = 24 miles
That is, AB = 24 miles
The storm is at point C
The length AC is found by using the rule of sines:
[tex]\frac{sinC}{AB}=\frac{sinB}{AC} \\\\\frac{sin31}{24}=\frac{sin42}{AC} \\\\\frac{0.515}{24} = \frac{0.669}{AC} \\\\0.02146=\frac{0.669}{AC}\\\\AC=\frac{0.669}{0.02146} \\\\AC=31.2 miles[/tex]
The weather station A is 31.2 miles from the storm
Learn more on sine rule here: https://brainly.com/question/4372174
Related Questions
factor of -2800 and -2
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Step-by-step explanation:
factors of -2 = -1 and -2
factors of -2800 = -1 -2 -4 -5 -7 -8 -10 -14 -16 -20 -25 -28 -35 -40 -56 -70 -80 -100 -112 -140 -175 -200 -280 -350 -400 -560 -700 -1400 -2800
MARK AS BRAINLIST IF IT IS USEFUL
A base angle of an isosceles triangle contains 75º. How large is the vertex angle?
(A) 75°
(B) 30°
(C) 1050
(D) 210°
(E) 40°
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Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.
Answers
[tex]\\ \sf\longmapsto tan40=\dfrac{P}{430}[/tex]
[tex]\\ \sf\longmapsto 0.83=\dfrac{P}{430}[/tex]
[tex]\\ \sf\longmapsto P=430(0.83)[/tex]
[tex]\\ \sf\longmapsto P\approx361m[/tex]
P=Height of towerSolve: XXVI - IV. Show your answer in standard form. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V x L lulolz A) 22 B) 20 C) 19
Answers
Answer:
22
Step-by-step explanation:
these i can do keep sendin em in
Answer:
22
b/c XXVI - IV
(26 - 4 )
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!!I’LL GIVE BRAINLIEST!! What additional information would you need to conclude that DE is the perpendicular bisector of AC?
Answers
Answer:
I believe that the answer is NONE the right angle at B should be enough information to prove that DE is ⊥ to AC
Step-by-step explanation:
By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If two triangles are congruent, then the ratio of the corresponding sides will be ONE.
The line DE is the perpendicular bisector of AC. Then we have
In triangles ΔABD and ΔCBD,
DB = DB (Common side)
∠ABD = ∠CBD = 90°
AB = BC (Bisector length)
By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.
More about the triangle link is given below.
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if f(X+4) =3x+2 ,then find the value of f(4) please explain our answer in a clear way
Answers
[tex]\\ \sf\longmapsto f(x+4)=3x+2[/tex]
Taking y=x+4 so x=y-4[tex]\\ \sf\longmapsto f(y)=3(y-4)+2[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-12+2[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-10[/tex]
Hence
[tex]\\ \sf\longmapsto f(x)=3x-10[/tex]
So
[tex]\\ \sf\longmapsto f(4)=3(4)-10[/tex]
[tex]\\ \sf\longmapsto f(4)=12-10[/tex]
[tex]\\ \sf\longmapsto f(4)=2[/tex]
Answer: 2
hi,
Step-by-step explanation:
[tex]f(x+4)=3x+2\\\\Let\ say\ y=x+4\ or\ x=y-4\\\\f(y)=3*(y-4)+2=3y-12+2=3y-10\\\\so\ f(x)=3x-10\\\\and\ f(4)=3*4-10=12-10=2\\[/tex]
Ronnie can buy invitations in packages of 12 and envelopes in packages of 10. Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over. How many packages of invitations and how many packages of envelopes did Ronnie buy? Enter your answers in the boxes. packages of invitations packages of envelopes
Answers
Answer:
5---6
Step-by-step explanation:
Given, the package of invitations contain [tex]12[/tex] invitations and package of envelopes contain [tex]10[/tex] envelopes.
Let [tex]x[/tex] and [tex]y[/tex] denote the number of invitation packages bought by Ronnie respectively.
It is given that, Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over.
That is,[tex]12x-10y=0[/tex].
When, [tex]x=1[/tex] the value of [tex]y[/tex] becomes [tex]1.2[/tex].
It is not possible, since the number package cannot be in decimals.
When, [tex]x=2[/tex] the value of [tex]y[/tex] becomes [tex]2.4[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=3[/tex] the value of [tex]y[/tex] becomes [tex]3.6[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=4[/tex] the value of [tex]y[/tex] becomes [tex]4.8[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=5[/tex] the value of [tex]y[/tex] becomes [tex]6[/tex].
This is not possible, since the number package cannot be in decimals.
Thus, Ronnie bought [tex]5[/tex] packages invitations and [tex]6[/tex] packages envelopes so that there is exactly one envelope per invitation with none left over.
Find the sum of
2x^2- 8x– 6 and 9x^2-8
Answers
Answer:
11x^2-8x-14
Step-by-step explanation:
(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14
Answer:
11x^2-8x-14
Step-by-step explanation:
2x^2- 8x– 6 and 9x^2-8
solution:
2x^2- 8x– 6 +(9x^2-8)
=2x^2-8x–6+9x^2-8
=2x^2+9x^2-8x-6-8
=11x^2-8x-14
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Answers
Answer:
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Step-by-step explanation:
-2/3y - 3/4 = 5
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y = -69/8
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Answers
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Answer: <E ≅ <O
Step-by-step explanation:
r ÷2-p^2 ; use p=-5, and r=2
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Answer:
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g(6)=
Answers
Answer:
g(6) = -1 -77
because the expression doesn't have r
Step-by-step explanation:
The freshman class is planning a picnic. The cost of a permit to use the park is
$250. To pay for the permit, there is a fee of $.75 for each freshman and $1.25 for
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guests must attend in order to at least pay for the permit? Let g represent the number
of guest attending.
Answers
Answer:
80
Step-by-step explanation:
Fee for freshies : $0.75
Fee for non-freshies: 1.25
If you have 200 freshman coming , you would multiply 0.75 X 200= $150
Now how many non-freshies need to show up to meet the $250 permit?
250(permit) - 150= $100
$100 divided by $1.25 = 80 non-freshies would need to show up , enabling to pay the full of the $250 permit fee
The insects, birds, snakes, and plants that live in a local wetland make up a
A. molecule
B. organism
C. population
D. community
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3
(a)
The highest common factor and lowest common multiple of two numbers are
2x 52 x 7 and 22 x 3x 57 respectively. If one of the numbers is 22 x 52 x7, find the
other number. Express your answer as a product of prime factors in index notation.
Find the smallest positive integer p such that 1125xp is both a perfect square
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Answers
The answer is in the picture. I haven not finished question (a) since I think there might be a typing error in the question. So, could you check the question again please?
24 24 24 न 20 22 17 many b) Karma spends, 3 hrs everyday leaming music. How hours does e she spend learning music o in a week? 기can anyone pls tell me answer
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B. 6
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Answers
Answer:
D
Step-by-step explanation:
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DF² = CD × DE , substitute values
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144 = 6 DE ( divide both sides by 6 )
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linear equation in one variable
no spamms❌❌❌❌
Answers
Step-by-step explanation:
4-2x+8/3 = 6x+15/2
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Answers
Answer:
the surface of "C" would be a triangle if sliced vertically
Step-by-step explanation:
If vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism, option C is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
If a vertical slice through a three-dimensional solid produces a two-dimensional shape which is a triangle, it means that the solid has a triangular cross-section.
In other words, the cross-section of the solid that is perpendicular to its base is in the shape of a triangle.
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To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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Help with the length of the third side?
Answers
Answer:
C. c = 10
Step-by-step explanation:
You have to use the Pythagorean theorem:
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Answer:
c = 10
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 8^2 = c^2
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sqrt(100) = sqrt(c^2)
10 -c
What is the sum of 9.8 and 12.05 please i need help
Answers
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Answers
Answer:
684
Step-by-step explanation:
Since 90% = 0.9
0.9 x 760
Which equals 684
Please mark as brainliest
Answer:
=684
Step-by-step explanation:
90% of 760
90/100 x 760
=684
ALGEBRA REVIEW
What is an easy method to solve for x in a basic algebra problem? Example: 3x + 5x + 8x = 32
Answers
Answer:
2
Step-by-step explanation:
3x + 5x + 8x = 32
taking x common,
(3 + 5 + 8)x = 32
16x = 32
x = 32 / 16
x = 2
Answer: See below
Explanation:
The ultimate method of solving algebra problems will be trying any operations to isolate x, which then gives the value of x.
Operations include combining like terms, dividing and multiplying terms, and etc.
I would be solving [3x + 5x + 8x = 32] as an example.
Solve:
Given
3x + 5x + 8x = 32
Combine like terms through addition
8x + 8x = 32
16x = 32
Divide 16 on both sides to isolate x
16x / 16 = 32 / 16
[tex]\boxed {x=2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Express the following ratio as a whole number ratios in the simplest form 10cm : 1.5m
Answers
Answer:
1/15
Step-by-step explanation:
1.5 m = 100*1.5 = 150 m
so
10/150 = 1/15
I need helppppp plus!!!!
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2.-4
3. Italy
What is the meaning,cause and effect of glaucoma
Answers
Answer:
Glaucoma is a group of eye conditions that damage the optic nerve, the health of which is vital for good vision. This damage is often caused by an abnormally high pressure in your eye. Glaucoma is one of the leading causes of blindness for people over the age of 60.
Step-by-step explanation:
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Stefan was baking cookies that called for 2 3/4 cups sugar and 3 1/2 cups flour. About how many total cups of ingredients does Stefan need? Round to the nearest half.
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Step-by-step explanation:
Stefan ask ur mom the total cups of ingredients
If x≠0, which expression is equivalent to this expression?
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Step-by-step explanation:
Here radical rule is that [tex]\sqrt[n]{x^{m} } = x^{m/n}[/tex] ; [tex]x\neq 0[/tex] so
[tex]\sqrt[4]{x^3} = x^{3/4}[/tex]
>>[tex](x^{3/4})/x^{1/12}[/tex]
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The manager of a theater wants to know whether majority of his patrons are adults or children. One day, 5400 tickets were sold and the receipts totaled $41,616. The adults admission is $9.50, and the children's admission is $6.50. How many adults patrons were there?
Answers
Answer:
2,172 adults
Step-by-step explanation:
Let adults = x
children = y
x + y = 5400
9.5x + 6.5y = 41,616
Let's use the elimination method to solve this.
Multiply the top equation by -6.5
(x + y = 5400)-6.5
-6.5x - 6.5y = -35100
This will allow us to eliminate the y and add up the other terms
9.5x + 6.5y = 41,616
-6.5x - 6.5y = -35100
3x = 6516
Divide both sides by the coefficient, 3, to isolate the variable, x
3x/3 = 6516/3
x = 2172
V = (pi r^2 h/3)...solve for h
Answers
Answer:
h = (3×V)/ (pi×r²)
Step-by-step explanation:
[tex]v = \frac{\pi {r}^{2} h}{3} [/tex]
[tex]3 \times v = \pi {r}^{2} h[/tex]
[tex]h = \frac{3v}{\pi {r}^{2} } [/tex]