Answers
The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) x = 48 √2
(2) 88 = √2 x → x = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for x in each case:
(1) cos(45°) = 48 / x → x = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = x / 88 → x = 88 cos(45°) = 88 (1 / √2) = 44 √2
Step-by-step explanation:
The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) x = 48 √2
(2) 88 = √2 x → x = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for x in each case:
(1) cos(45°) = 48 / x → x = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = x / 88 → x = 88 cos(45°) = 88 (1 / √2) = 44 √2
Related Questions
You can buy 5 pens for $3.75 What is the price for 1 pen?
Answers
Answer: 0.75
Step-by-step explanation:
3.75/5 = 0.75$
what is the volume of the cylinder below?
Answers
V=hxpiex r^2
V=17x (12)^2x pie
V=2448 pie
Answer:
B. 2488π
Step-by-step explanation:
Formula: πr2h
π x 12^2 x 17 = π x 144 x 17 = 2488π
PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.
Find the volume of a cone with a height of 8in and a base radius of 3in.
Use the value 3.14 for pi, and do not do any rounding. Be sure to include the correct unit in your answer.
Answers
Answer:
75.36 in3
Step-by-step explanation:
Mark me brainliest?
there are 6 soccer teams playing in a weekend tournament. 2 players are removed from each team to form a new team. The total number of players at the tournament is 90 .....
I NEED HELPPPPP PLEASEEEEEE
Answers
what is the souloution to the equation x^2-4x+4=2x
Answers
Answer:
x=3+sqrt5, x=3-sqrt5
Step-by-step explanation:
Please help me with my geometry
Answers
Answer:
ab=de, bc=ef, ac=df
Step-by-step explanation:
HELPPP ASAP I NEED THIS RN THX!
Answers
Answer: d=2r
Step-by-step explanation:
The diameter is twice the size of the radius which is 2r
Order these numbers from greatest to least: 425
4
25
, 0.40, 4%, 38%.
Answers
Answer:
425, 25, 4, 0.40, 38%, and 4%.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Answer:
425, 25, 4, .40, 38%, 4%
Step-by-step explanation:
38% is equal to .38 and 4% is equal to .04
they're less than .40 so they are at the end.
Calculate the discriminant f(x)=x2-4x+7
Answers
Answer:
Option 1,3,4,6 are correct
Explanation
Step-by-step explanation:
we have formula for discriminant that is D=b^{2} -4acD=b
2
−4ac
when D>0 the roots are real and unequal
when D= 0 roots are real and equal
and when D< 0 roots are imaginary or not real and unequal
In 1st equation: x^2+6x+8x
2
+6x+8
a=1,b=6,c=8 on substituting the values in the formula we will get
D=6^2-4(1)(8)=4 > 0D=6
2
−4(1)(8)=4>0 hence real and unequal roots.
In 2nd equation:x^2+4x+8x
2
+4x+8
a=1,b=4,c=8 on substituting values in formula
D=4^2-4(1)(8)=-16 < 0D=4
2
−4(1)(8)=−16<0 so roots are not real
In 3rd equation x^2-12x+3x
2
−12x+3
a=1,b=-12,c=3 on substituting values
D=D=(-12)^2-4(1)(3)=132 > 0D=(−12)
2
−4(1)(3)=132>0 roots are real and unequal
In 4th equation: x^2+4x-1x
2
+4x−1
a=1,b=4,c=-1 on substituting the values
D= 4^2-4(1)(-1)=20 > 0D=4
2
−4(1)(−1)=20>0 real roots
In 5th equation:5x^2+5x+45x
2
+5x+4
a=5,b=5,c=4 on substituting the values
D=5^2-4(5)(4)=-55 < 0D=5
2
−4(5)(4)=−55<0 roots are not real
In 6th Equation: x^2-2x-15x
2
−2x−15
a=1,b=-2,c=-15 on substituting the values
D=(-2)^2-4(1)(-15)=64 > 0D=(−2)
2
−4(1)(−15)=64>0 roots are real
Uehehejjdjdjejjejejjdjdjejejejejejjejejejeejjd
Answers
Answer:
kgkbfkbfbk3grrkmfbhrfikrk
Answer:
thank you for the free point i guess
Step-by-step explanation:
can u mark me brainlest plz
gjnrijnrtibfnsibneifn
Ms. Burk asked her students to simplify expressions. The students answers 4 points
are in the table below. Select the correct option for each expression. *
Student Equivalent Expressions
Emily 3t + 5t - 2t = 6t
Joseph 6(2b + 5) = 12b x 30
Nico
2(5r - 9) = 10r - 18
Katie 5(4d - 5) =20d - 25
Answers
Answer: is the teacher mr.Burks? what school you go to if it is costa mesa high i know i had her and still have the notes!
i think it its nico and katie but just wait for someone else to answer
Step-by-step explanation:
Let f(x)=-3x+7 and g(x)=2x^2-8
Find f(x)+g(x)
Choose the best answer
A)-2x^2 - 3x +15
B) -x^2 - 1
C) 5x^2 +15
D) 2x^2 - 3x - 1
Answers
Answer:
D
Step-by-step explanation:
WILL MARK BRAINLIEST
4. Find x.
A) 10
B) 10.5
C) 11
D) 11.5
Answers
10.5 ( near parallel to the one next to x which will equal 11 or 11.5 but 10.5 is associated with its compression.
Answer = 10.5
(thanks if you give branliest it is always appreciated)
If who answers fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!!
Answers
41+71=112
180-112=68
Angle of BAC=68 degrees
The heights of all 12-year old girls in the U.S. Are normally distributed with a mean of 60.5 inches and a standard deviation of 3 inches. What is probability that a girl chosen at random from a that age group with have a height of at least 69.5 inches?
Answers
need help pls
......
Answers
Answer:
I believe B is the correct answer ?
Step-by-step explanation:
Since the is a negative sign already there that turns the -3 into just 3 so the equation turns into 3-6 which is -3 so...
3-6<3.5
Wyatt does 29 push-ups in the morning and 36 more push-ups in the evening. If he does the same number of push-ups every day of the week for 4 weeks, about how many push-ups will he do in all?
Answers
Answer: 1,820 Pushups
Step-by-step explanation: 29+36=65
65 x 7 (days in a week)=455
455 x 4(as in the 4 weeks)=1,820 Pushups total
I hope this helped! let me know if you need more help! :)
Factor the polynomial by its greatest common monomia
365 + 1564 - 1867
Answers
Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis
Answers
The question is incomplete. The complete question is :
Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:
(Choice A) A 6x+3y6x+3y6, x, plus, 3, y
(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis
(Choice C) C 3xy3xy
Solution :
The equation is given as follows :
3x + 3(x+y)
We can simplify the equation in order to determine the equivalent expression.
Now applying the distributive property,
[tex]$3x+(3)(x)+(y)(3)$[/tex]
[tex]$=3x+3x+3y$[/tex]
When we add the like terms we get :
3x+3x+3y = 6x + 3y
When we factor out the term 3, we get :
3x + 3x + 3y = 3(x + x + y)
So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is :
Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:
(Choice A) A 6x+3y6x+3y6, x, plus, 3, y
(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis
(Choice C) C 3xy3xy
Solution :
The equation is given as follows :
3x + 3(x+y)
We can simplify the equation in order to determine the equivalent expression.
Now applying the distributive property,
When we add the like terms we get :
3x+3x+3y = 6x + 3y
When we factor out the term 3, we get :
3x + 3x + 3y = 3(x + x + y)
So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).
The 30 female nurses at Memorial Medical Center make up 15% of the entire Med Center personnel. What is the total number of employees at Memorial Medical Center?
Answers
Answer:
200 employees
Step-by-step explanation:
The 30 female nurses at Memorial Medical Center make up 15% of the entire Med Center personnel. What is the total number of employees at Memorial Medical Center?
Let the total number of employees = x
Our Equation=
15% of x = 30 female nurses
15/100 × x = 30
15x /100 = 30
Cross Multiply
15x = 100 × 30
x = 3000/15
x = 200
Number of employees = 200
In Hillsboro's wig shop, 1/2 of the wigs are blonde and 1/12 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?
Answers
Answer:
7/12
Step-by-step explanation:
So, the probability of picking up a blonde wig = 1/2
The probabiliy of picking up a brunette wig = 1/12
The question asks to find th eprobability of picking up either of these types of wigs =
1/2 + 1/12
= 6/12 + 1/12 ( LCM of 12 and 1 is 12 )
= 7/12
Hope this helps
How many ounces are in 18 pounds?
144 ounces
180 ounces
216 ounces
288 ounces
Answers
Answer:
it would be 288
Step-by-step explanation:
there are 16 ounces in 1 pound so if you took 16 x 18 it would give you 288.
i did that becasue if theres
so with 18 pounds and 16 onzes are in 1 pound so I multipyed them togher to get 288
i checkd this with my bio teacher she said 288 is corrcet.
Ernie is . All of these points on the same line because the slope between (0, 0) and (3, 3) equal to -4.
Answers
Answer:
Ernie is incorrect.
Step-by-step explanation:
I suppose that we want to see if Ernie statement is correct or not.
Suppose that we have a line that passes through the points (x₁, y₁) and (x₂, y₂)
The slope of that line can be calculated as:
slope = (y₂ - y₁)/(x₂ - x₁)
In this case, we know that the line passes through (0, 0) and (3, 3), then the slope of this line is:
slope = (3 - 0)/(3 - 0) = 3/3 = 1
Then Ernie got the slope wrong, which means that he is wrong.
Kyle collects rainwater in two barrels. Last week one barrel collected 1.46 gallons of rainwater. The other barrel collected 0.751 gallon of rainwater.
What was the total amount of rainwater that Kyle collected last week?
Answers
Answer:
Step-by-step explanation:
Total amount of rainwater that Kyle collected = 1.46 + 0.751 = 2.211 gallons
need it done quickly
Answers
Answer:
363636
Step-by-step explanation:
756 x 481
can someone please help me is the answer-8
Answers
Answer:
h(-8)=-8
Step-by-step explanation:
Since we are finding h(-8), we plug -8 into the equation:
h(-8)=((-8)²+3(-8))/(4(-8)+27)
h(-8)=(64-24)/(-32+27)
h(-8)=40/-5
h(-8)=-8
Therefore, h(-8)=-8, which means your answer is correct!
Can someone please help me!!!
Answers
Answer: x=20
Step-by-step explanation:
If im wrong, sorry
The angles of a triangle add up to 180 degrees.
(3x+5)+(2x+17)+(2x+18)=180
add the ones alike
3x + 2x + 2x=7x
5+17+18=40
so, 7x+40=180
we need to get the variable by itself so we take away 40 first by subtracting it from both sides of the equal sign
7x=140
we take away 7 from x by dividing it- opposite of multiplication is division
x=20
Answer:
x = 20
Step-by-step explanation:
3x+5° + 2x+18° + 2x+17° = 180° (sum of interior angles in a triangle is 180°)
collect like terms
3x + 2x + 2x + 5° + 18° + 17° = 180°
7x + 40° = 180°
solving for x
x = (180 - 40)/7
x = 140/7
x = 20
542 L =
kL
Brainliest and points
Answers
Answer:
0.542
Step-by-step explanation:
divide the liter by 1000 and get your answer! have a great day
542 liters is approximately equal to 0.542.
Given that a quantity, 542 L we need to convert it into kL,
To convert liters (L) to kiloliters (kL), you need to divide the given value in liters by 1,000 since there are 1,000 liters in 1 kiloliter.
In this case, to convert 542 L to kL, you can use the following formula:
kL = L / 1000
Plugging in the given value:
kL = 542 L / 1000
Dividing 542 by 1000, you get:
kL ≈ 0.542 kL
Therefore, 542 liters is approximately equal to 0.542.
Learn more about Conversion Factor click;
https://brainly.com/question/30567263
#SPJ6
HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!
(if it is not a ligament answer, i will report)
Answers
Answer:
2 x 3(x + 4) + 2 x 7(x + 2) = 20x + 52
Step-by-step explanation:
2 x 3(x + 4) + 2 x 7(x + 2) = 6x + 24 + 14x + 28 = 20x + 52
NEED ASAP Which line is parallel to the line y=4x-2?
Answers
Answer:
y = 4x + 1
Step-by-step explanation:
Given the equation y = 4x - 2, we need to find the equation parallel to this line. Note that for two equations to be parallel to each other, the must have the same slope
Standard form of an equation is y = mx + b
Compare;
mx = 4x
m = 4
Since the slope of the given equation is 4, the required equation must also have a slope of 4
Since we are not given an option, we can assume any equation with a slope of 4
y = 4x + 1 will be parallel to the given equation since they both have the same slope
Note that the equation can be different so far they have the slope of 4