Answers
Answer:
Side Length AB = 22
Side Length CB = 35.21
Side Length = 41.52
Angle A = 58°
Angle B = 90°
Angle C = 32°
Step-by-step explanation:
Side Length CB;Tan(32) = 22 / CB
Tan(32) * CB = 22
CB = 22 / Tan(32)
CB = 35.21
Side Length AC; (Now that we know the Length of AB and BC)22² + 35.21² = AC²
484 + 1239.74 = AC²
1723.74 = AC²
[tex]\sqrt{1723.74}[/tex] = AC
41.52 = AC
Angle A (Since we know Angle B and Angle C)Angle A + Angle B + Angle C = 180°
Angle A + 32° + 90° = 180
Angle A + 122 = 180
Angle A = 180 - 122
Angle A = 58°
Hope this helps!
Answer:
Sine Rule will apply here too
22/Sin32° = AC/sin90
AC = 22sin90/sin32
AC=41.52(To the nearest 100th)
Angles in a triangle =180
Angle A = 180 - 90 - 32
Angel A = 58°
BC/Sin58 = 22/sin32
BC = 22sin58/sin32
BC=35.21 (Nearest 100th).
Have a great day!
Related Questions
Approximately how tall is the streetlight? Round your answer to the nearest tenth.
Answers
Note: your teacher may not want you to enter "feet" and instead may just want the number only.
===================================================
Work Shown:
tan(angle) = opposite/adjacent
tan(40) = h/20
20*tan(40) = h
h = 20*tan(40)
h = 16.7819926 which is approximate
h = 16.8
The streetlamp is approximately 16.8 ft tall.
When using your calculator, make sure it's in degree mode. One way to check is to compute something like tan(45) and you should get 1 as a result.
common multiples for 3,6 and 8
Answers
Please Help with this question
Answers
2. More than 300
3. Less than 300
4. Less than 300
He will save $88.97
I hope they are all right!
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 121 kilograms. A
delivery of 6 large boxes and 2 small boxes has a total weight of 136 kilograms. How much does each type of box weigh?
Weight of each large box: [kilogram(s)
Weight of each small box: kilogram(s)
?
Answers
Answer:
136 yhdiby8sruygftdtuggdyubhAnswer:
Weight of each large box: 18.25kg
Weight of each small box: 13.25kg
Step-by-step explanation:
For this question, we have two unknowns, but we can solve them as we are given two equations.
If we use the variables 'L' for Large and 'S' for small, we an write out the information given to us as equations:
3L + 5S = 121
6L + 2S = 136
Now we can solve these simultaneous equations by multiplying one of them by a constant so that one of the variable co-efficients are the same so we can cancel them. We can see here that we can easily double the first equation which would result in both having 6L:
2(3L + 5S) = 2(121)
=> 6L+10S=242
Now that we have one term which is the same, we can subtract one equation from the other:
6L+ 10S = 242
- (6L + 2S = 136)
------------------------
=>0L + 8S = 106
Now we can solve for S:
8S/8 = 106/8
S = 13.25
And use this value of S to solve for L:
3L + 5(13.25) = 121
3L + 66.25 = 121
3L + 66.25 - 66.25 = 121 - 66.25
3L = 54.75
3L/3 = 54.75/3
L = 18.25
Hope this helped!
Solve these problems
A= 12+4×2-7
B= 2×(-3)+8
Answers
B=2
You have to calculate the multiplication first
Answer:
A. 13
B. 2
Step-by-step explanation:
You use order of operations.
A. 4x2=8+12=20-7=13
B. 2x-3=-6+8=2
Which scenario can be best represented by the equation y = 139x + 200?
Answers
Since you didn't offer potential answer choices, here's a sample answer which would work for this scenario. Using this, you can compare it to the choices that you have to make a decision.
Sample Answer:
Bob opened savings account with $200. Every week since, he has added $139 into it.
is the following relation a function explain. (1,3) (1,0), (1,-2) (1,8)
Answers
9514 1404 393
Answer:
NO
Step-by-step explanation:
If input values are repeated, the relation is not a function. A function has only one output value for any input value.
Here, an input of 1 has 4 output values—not a function.
i need help with this plseeee
Answers
Step-by-step explanation:
where is the question? i can help you
Given that one standard deviation below the mean is 24 and one standard deviation above the mean is 31, what is the mean l?
A)55
B)34
C)27.5
D)28
Answers
Answer:
C. 27.5
Step-by-step explanation:
since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.
we would first subtract the two values
31-24 = 7we would then divide that number by 2 since we are finding the average between the two numbers
7/2 = 3.5using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)
24+3.5 = 27.531-3.5 = 27.5since both calculated numbers were equal, we know that we calculated the mean correctly.
which of these decimal numbers is equivalent to 87?
0.87
8.70
87.00
870.0
Answers
Answer: if its 87% then its 0.87, but if its 87 then its 87.00
Step-by-step explanation: I'm doing these questions for a challenge :D
What does it mean to use the cosine value of an inverse of tan θ?
I attached the question I'm just confused.
Will it be 60°?
Answers
Answer:
[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]
Step-by-step explanation:
we are given a inverse trig
we want to figure out the value of [tex]\theta[/tex]
in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°
therefore,
the value of theta is 120°
likewise by unit circle the value of sine is
[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]
Casey spends $29.00 on coffee each month. About how much dose Casey spend on coffee over 7 months ?
Answers
Answer:
203 dollars
Step-by-step explanation:
29 x 7
2.) Una pizza cuesta $12. Alfred compró 4_2/3 pizzas. ¿Cuanto gastara le sobra de $60? a.) $56 b.) $14 c.) $4
Answers
Answer:
$56 or $4 left over from $60
$ 56 o $ 4 sobrantes de $ 60
Step-by-step explanation:
4 2/3 pizzas would cost $56
4 2/3 pizzas costarían $ 56
what can 25 and 3 both be divided by
Answers
Answer:1
Step-by-step explanation:
because 1 devided by 3 is 3 and 1 devided by 25 is 5
What’s the equation y= what ? pls help me!
Answers
Answer:
Y=mx+b
Step-by-step explanation:
That's the slope equation, though y could mean anything from a point on a graph to the question.
HELP I BEGGGGggggggg
Answers
Answer:
c = 25m + 40
Step-by-step explanation:
the ball rolls downhill, its kinetic energy increases and its potential energy ________
Maximum
Minimum
.
Answers
The Ball Rolls Downhill, It's Kinetic Energy Increases And It's Potential Energy Maximum.
Hope Helps! :)
[tex] \: \: [/tex]
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
Answers
Answer:
85 degrees
Step-by-step explanation:
Hi there!
<x is an exterior of the triangle ABC. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, we could say that x is equal to the sum of 60 and 25:
60+25=x
85=x
Therefore, angle x measures 85 degrees.
I hope this helps!
Answer:
85
Step-by-step explanation:
Please enter the missing number: 4, 8, 14, 22, ?
A. 26
B. 28
C. 32
D. 36
E. 40
Answers
Answer:
C) 32
Explanation:
it's adding by 4, 6, 8, and then 10; 22 + 10 = 32, so C will be the answer.
Hope this helps!
Because if you look at the numbers it’s going in a pattern from 4 to 8 it’s +4 the. 8 to 14 is +6, 14 to 22 is +8 so the next one would be 22 +10 which is 32
Given the data set 3,4,1,12,8,3,9,5,what is the median?
Answers
Answer:
4.5
Step-by-step explanation:
Put numbers in order, 1,3,3,4,5,8,9,12
Divide by 2 because there are 2 numbers
Because 4.5 is in the middle of 4 and 5 that is your median
Jeruto was born when her mother was twenty seven years old and her father thirty years old. After how many years will the mean age of jeruto and her parents be in twentysix years
Answers
Answer: 7 years
Step-by-step explanation:
Let the number of years be x. Therefore, their ages in x years will be:
Daughter = x
Mother = 27+x
Father = 30+x
Their mean age will then be:
[x + (27+x) + (30+x)]/3 = 26
(3x + 57) / 3 = 26
Cross multiply
3x + 57 = 26 × 3
3x + 57 = 78
3x = 78 - 57
3x = 21
x = 21/3
x = 7
Therefore, the answer will be 7 years
Check: Daughter = x = 7 years
Mother = 27+x= 27+7 = 34 years
Father = 30+x = 30 + 7 = 37 years
Mean= (7+34+37) / 3 = 78/3 = 26 years
What is (3/2) raised to the power of -3?
What is (3/2)^-3?
Answers
8/27
Alternate form -
0.296 or (2/3)^3
Explanation:
Either one of these
What is the solution to this equation?
Answers
Answer:
C. x = 7
Step-by-step explanation:
(7+6) = 13
2(7) - 1 =
14- 1 = 13
13-13 = 0
*HELP PLEASE*
In circle J with HJK = 146", find the HLK.
A) 214°
B) 73°
C) 292°
D) 46.5°
Answers
Answer:
B. 73°
Step-by-step explanation:
WHat is the largest multiple of 5 that is less than 24
Answers
Answer:
20
Step-by-step explanation:
5*4=20
5*5=25, but it is bigger than 24.
So the ans is 20
18 is 15% of what number
Answers
Answer:
120
Step-by-step explanation:
For C it's y= 1.5x and D is y=2/3x
Answers
= 45/30 = 1.5
y = 1.5 x
Answer is C
Answer:
y = 1.5x + 0 or y = 1.5x
Step-by-step explanation:
=> First lets find the slope:
Slope: Change in y / Change in x
Change in y = +15
Change in x = 10
Slope = 15/10 or 1.5
=> Now lets find the, y-intercept:
We know that y-intercept is the y-value when x = 0
So we can say:
y = 1.5x
y = 1.5(0)
y = 0
Therefore y-intercept = 0
Final equation: y = 1.5x + 0 or y = 1.5x
Hope this helps!
In a word game, 1 letter is worth 1 point. This dot plot shows the scores for 20 common words. What is the first quartile (Q1)?
Answers
Answer:
5
Step-by-step explanation:
Simplify and select the answer with the appropriate restrictions for the variables.
5x2−4x3x3
Answers
Answer:-4x/6 + 5x/2
Step-by-step explanation:
just combined it
Solve this equation for x.
4x+3=5x-4
Answers
Answer:
Step-by-step explanation:
X=7