Answer:
A
Step-by-step explanation:
edg2021
One method to find angle B is A. use the Pythagorean theorem to find BC, then solve the equation tan(B)=8/BC.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given is a right angled triangle ABC with the hypotenuse being AB and the legs AC is the base and BC is the height.
Given AC = 8 and AB = √89.
We need to find the measure for angle B.
Either we can find angle B using Sin B = Opposite side / hypotenuse
Sin B = 8 / √89
But this is not in the option.
So first find the length of BC using the Pythagoras Theorem.
(BC)² = (AB)² - (AC)²
= (√89)² - (8)²
= 25
BC = √25 = 5
We get the opposite side and adjacent side with respect to angle B.
Tan B = AC / BC = 8 / 5 = 1.6
B = 57.99° ≈ 58°
Hence the approximate measure of angle B is 58°.
Learn more about Pythagoras Theorem here :
https://brainly.com/question/343682
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Simplify the expression to a polynomial in standard form:
(
3
x
+
5
)
(
2
x
2
+
x
+
5
)
(3x+5)(2x
2
+x+5)
Answer:
9x
4
+120x
3
+550x
2
+1000x+100x2
2
+500x2+625+18x
3
x2+150x
2
x2+350×2+50x2x+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+150×2
Step-by-step explanation:
(3x+5)(2x2+x+5)(3x+5)(2x2+x+5)
=(6×2+3x
2
+15x+10x2+5x+25)(3x+5)(2x2+x+5)=
=(3x
2
+20x+10x2+25+6×2)(3x+5)(2x2+x+5)=
=(9x
3
+15x
2
+60x
2
+100x+30×2+50x2+75x+125+6×2⋅3x+6×2⋅5)(2x2+x+5)=
=(9x
3
+15x
2
+60x
2
+100x+30×2+50x2+75x+125+18x
2
x2+6×2⋅5)(2x2+x+5)=
=(9x
3
+15x
2
+60x
2
+100x+30×2+50x2+75x+125+18x
2
x2+30×2)(2x2+x+5)=
=(9x
3
+75x
2
+175x+50x2+125+30×2+18x
2
x2+30×2)(2x2+x+5)=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+30×2⋅2x2+30×2x+30×2⋅5+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30×2x+30×2⋅5+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+30×2⋅5+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+150×2=
=9x
4
+120x
3
+550x
2
+1000x+100x2
2
+500x2+625+18x
3
x2+150x
2
x2+350×2+50x2x+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+150×2
A and T are variables.
The variable (48 - A) is directly proportional to the square of the variable T.
A is 28 when T = 2
(a) Find the formula for (48 - A) in terms of T.
please answer fasttt
Answer:
20 is the answer
Step-by-step explanation:
48-28=20
What is the mean of 210,160,and 200
Answer:
190
Step-by-step explanation:
mean = sum of all the numbers/# of numbers
210 + 160 +200 = 570
570/3 = 190
Answer:
190
Step-by-step explanation:
you divide 570 by 3, which is 190.
Find the area of the trapezoid.
4 cm
12 cm
3
cm
Answer: 30
Step-by-step explanation:
A=a+b
2h=12+3
2·4=30
Answer: 24
Step-by-step explanation:
Which ordered pairs are solution(s) of y > 4x - 9? Select all that apply A (-1,3) B. (0, -9) C. (1.0) D. (2, 1)
Answer:
A.
C.
D.
Step-by-step explanation:
Use the x-coordinate in place of x and compare the solution to the y-coordinate. All of the answers to these options are true.
Hope it helps!
3(1.5x+9)= tell me NOW
Answer:
x = -6
Step-by-step explanation:
Simplifying
3(1.5x + 9) = 0
Reorder the terms:
3(9 + 1.5x) = 0
(9 * 3 + 1.5x * 3) = 0
(27 + 4.5x) = 0
Solving
27 + 4.5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + 4.5x = 0 + -27
Combine like terms: 27 + -27 = 0
0 + 4.5x = 0 + -27
4.5x = 0 + -27
Combine like terms: 0 + -27 = -27
4.5x = -27
Divide each side by '4.5'.
x = -6
Simplifying
x = -6
Use the pythagorean Theorem to prove the three sides of the triangle are the three sides of a right triangle. Show all of your work. 2,4,2,√3
Answer:
[tex]2^{2}[/tex] + [tex](2\sqrt{3}) ^{2}[/tex] = 4 + 4 * 3 = 16 = [tex]4^{2}[/tex]
Step-by-step explanation:
The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and [tex]2\sqrt{3}[/tex], squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and [tex]2\sqrt{3}[/tex] being the legs of the right triangle, and 4 being the hypotenuse.
Pls answer if you know the ANSWER
Cindy had 5 blue cars and 12 red cars in her collection. what is the ratio of blue cars to red cars. SELECT ALL THAT APPLY
5:17
5:12
5:7
12:5
Answer:
5:12
Step-by-step explanation:
A penguin starts at 15 meters above sea level and ends at 7 meters below sea level. What is the change in elevation?
Answer:
22 meters
Step-by-step explanation:
If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.
Then they traveled another 7 meters when going 7 meters below sea level.
15 + 7 = 22
Hope this helps :)
is 1/2 = 20/40 an equivalent fraction?
Interior-Angle
Lesson 7.8
Divide the polygon into triangles. Then, multiply the number
of triangles by 180 to find the interior-angle sum for each
polygon.
Answer:
To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
copied from,
www.bbc.co.uk › guides › revision
Hope this helped
Hope this helpedALL THE BEST !!
On Monday, Maggle ran n miles. On Tuesday, she ran 90% of the number of miles that she ran on Monday. On Wednesday, she ran 50% of the
number of miles that she ran on Tuesday.
Move a symbol to the box and expressions to the blanks to create two equivalent expressions that represent the total number of miles
Maggie ran on Monday, Tuesday, and Wednesday.
First expression: n +0.91
Second expression:
+
х
0.45
0.45n
0.5
0.5
1.35
1.5
2.35
Answer:
[tex]Total = 2.35n[/tex]
Step-by-step explanation:
Given
Monday = n
Tuesday = 90% of Monday
Wednesday = 50% of Tuesday
Required
Determine the total miles
We have:
Tuesday = 90% of Monday
Substitute n for Monday
Tuesday = 90% of n
[tex]Tuesday = 90\% * n[/tex]
Express percentage to decimal
[tex]Tuesday = 0.90 * n[/tex]
[tex]Tuesday = 0.90n[/tex]
We also have that:
Wednesday = 50% of Tuesday
Wednesday = 50% * Tuesday
Substitute 0.90n for Tuesday
[tex]Wednesday = 50\% * 0.90n[/tex]
Express percentage to decimal
[tex]Wednesday = 0.50 * 0.90n[/tex]
[tex]Wednesday = 0.45n[/tex]
The total number of miles is:
[tex]Total = Monday + Tuesday + Wednesday[/tex]
[tex]Total = n + 0.90n + 0.45n[/tex]
[tex]Total = 2.35n[/tex]
simplify: 1/5(10x - 20)
What is the area for this?
Answer:
174 ft sq is area of this figure
turn 15/6 into a mixed number
Answer:
2 3/6
Step-by-step explanation:
divide 15 by 6 to get 2, and left with a remainder of 3.
Find the 80th derivative of f(c)
ET
sin(2).
f(80)
Submit Question
Compute the first few derivatives to reveal a pattern:
f(x) = x sin(x)
f '(x) = x cos(x) + sin(x)
f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)
f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)
f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)
f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)
f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)
f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)
f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)
and so on.
The pattern should be clear: for some integer k,
• if n = 4k, then f ⁽ⁿ ⁾(x) = x sin(x) - n cos(x)
• if n = 4k + 1, then f ⁽ⁿ ⁾(x) = x cos(x) + n sin(x)
• if n = 4k + 2, then f ⁽ⁿ ⁾(x) = -x sin(x) + n cos(x)
• if n = 4k + 3, then f ⁽ⁿ ⁾(x) = -x cos(x) - n cos(x)
80 is a multiple of 4, so the 80th derivative falls in the first category. Then
f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)
You are going to Wal-Mart to buy DVD's. The DVD'sare packaged in a box. There are thirty five DVDs in the box. You only want five. The box cost forty-five dollars. How much did you pay? How much change do you get back if you pay with fifty dollars? Explain the order of operations that was used.
Answer:
DVD sales have been on the decline for over a decade, but a slew of new streaming services and a shift in how consumers are watching movies and TV shows could be the final death knell for the technology.
The same can be said for Blu-Ray discs.
At its peak, DVD sales reached $16.3 billion and were 64% of the U.S. home video market. That was 2005. These days, DVD sales account for less than 10% of the total market, with total sales hitting $2.2 billion in 2018.
Blu-Ray discs, which have always been slightly more expensive than DVDs, launched in 2006. At most, Blu-Ray sales reached $2.37 billion in 2013, before falling to $1.8 billion in 2018. It’s likely that Blu-Ray sales fractionally impacted the decline of DVD sales, but the fact that DVD sales still outpace Blu-Ray sales shows it’s not the real culprit.
Instead, a combination of the Great Recession, a rise in customers buying on-demand and digital copies of films and the launch of streaming services is what has caused DVD sales to decline more than 86% in the last 13 years.
Step-by-step explanation:
A white-tailed deer is running from a black bear at 20 miles per hour. It is 1/3 miles in front of the bear. The bear is running at 30 miles per hour. How many minutes will it take the bear to catch the deer? Assume both continue running at a constant pace.
Answer:
Step-by-step explanation:
d=20t+1/3, b=30t
20t+1/3=30t
10t=1/3
t=1/30 hr
t=(1/30)60=2 min
ANSWER QUICK PLS ANSWER QUICK PLS
Pls answer all questions
Answer:
this is the closest i can get to the answer
1. 0.33/1 = 0.33
2. how much it costs per ounce
3. it represents the facts that it costs 0.33 per ounce
4. y=0.33x+0.33
sorry if it's wrong
reducción de 7a-10b+6b+2a+9a=
Answer:
7a-10b+6b+2a+9a=?
7a+2a+9a= 18a
-10b+6b= -4b
Final: 18a-4b
Step-by-step explanation:
Hope that this helps you out! :)
Two containers of gasoline hold a total of 43 gallons. The big container can hold 8 less than twice the
smaller container. How many gallons does each container hold?
The smaller container holds
gallons while the larger one contains
gallons
Question Help D Video Written
Answer:10
Step-by-step explanation:
A coin with a head side and a tail side is flipped 3 times.
What is the probability that it lands on tails all 3 times?
Answer:
like a 10% chance
Step-by-step explanation:
PLEASE HELP!!!!!
provide the value of the polynomial P(x)=8x2-9x+12 at x=-3.
Answer:
111
Step-by-step explanation:
Answer:
x3−8x2+19x−12 = (x−1)(x−3)(x−4)
Step-by-step explanation:
Welcome =D
I need help what is 6 diveded by 386 =
A. 384
B. 330
C. 386
D. 396
The ratio of dogs to cats at the pet store is 2:5. If there are 14 total pets, how many dogs and cats are there? *
Answer:
4 Dogs and 10 Cats
Step-by-step explanation:
2*2=4
5*2=10
4:10
Hope this helped!
Two angles are supplementary. One angle measures (4x+13) degrees and the other measures (5x-4) degrees. What is the measure of the smaller angle
Answer: 89
Step-by-step explanation:
what are scale drawings
Answer:
A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Step-by-step explanation:
Answer:
Answer down below!
Step-by-step explanation:
A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.
There are 10 socks in a bag. 5 of those socks are blue.
Answer:
so 1/2 of those socks aren't blue?
There are 16 dominos in the center of the table to play the game. There are four players who are playing the game.
Which equation can be solved to find the number of dominos each player will receive if they each receive the same
number of dominos?
Answer:
16÷d=4 or d=64
Step-by-step explanation:
This is a question I had before and I hope this helped you too.
Guys help! I need a right answer for this.
Answer:
68
Step-by-step explanation:
96 (DE) divided by 32 (AB)
which gives you 2
34 times 2 is 68