3. Solve for the side length of BA and AC. * (image attached)
1 point
Captionless Image
BA = 8, BA = 30
BA = 8, AC = 16
BA = 8, AC = 8√2
BA = 8, AC = 8√3
Answers
Answer:
D. BA = 8, AC = 8√3
Step-by-step explanation:
First, because this is a right triangle, refer to the trigonometric ratios:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:
sine = opposite side/hypotenuse
sin(30) = BA/16
sin(30) / 1 = BA / 16
Cross multiply:
BA = sin(30) (16)
BA = 8
AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:
cosine = adjacent side/hypotenuse
cos(30) = AC/16
cos(30) / 1 = AC / 16
Cross multiply:
AC = cos(30) (16)
AC = 8√3
You can check by using the Pythagorean Theorem:
a² + b² = c²
8² + (8√3)² = 16²
64 + 192 = 256
256 = 256
Related Questions
PLS HELPPP !! BRAINLIEST!!
Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?
A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3
Answers
Help please!!! I don’t knowwwwwwwww
Answers
Answer:
4th dot
Step-by-step explanation:
because
HELP HAVING A BAD DAY
Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?
I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER
Answers
Answer:
Rodger and Trish will finish the homework together for 30 hours. x=30
Step-by-step explanation:
This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)
To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)
6 5
12 10
18 15
24 20
30 25
30
And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.
Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
What is Expression?An expression is combination of variables, numbers and operators.
Let the total amount of work in the math homework is 1.
In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:
(1/6) + (1/5)
= (5/30) + (6/30)
= 11/30 of the work.
If they work together for x hours, then they will finish:
x × (11/30) = 11x/30
of the work in x hours.
Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ3
Convert to pints: 10 quarts
20 pints
1 pints
100 pints
5 pints
Answers
Answer:
20
Step-by-step explanation:
20 pints because your convert 10 quarts into pints
Answer:
i think 100 pints
A scientist began a study with a sample of 1,500 bacteria. He noticed that
the number of bacteria in the sample after t days can be modeled by the
equation P=1,500.5. In this equation, what does 5t represent?
A. The number of bacteria increases by a factor of t each day for 5 days.
B. The number of bacteria increases by t bacteria after 5 days.
C. The number of bacteria increases by 5 bacteria each day.
D. The number of bacteria increases by a factor of 5 each day.
Answers
Answer:
C
Step-by-step explanation:
Joe buys 6 adult tickets and 4 child tickets for the movies. Each adult ticket cost $9. Each child ticket cost the same amount. Joe pays with a $100 bill and gets $22 in change. How much does each child ticket cost?
Answers
Answer:
Each child ticket cost = $6
Step-by-step explanation:
Joe has = $100
His balance after tickets purchase = $22
Actual amount spent on tickets = $100 - $22 = $78
But,
Each adult ticket cost = $9
Total no of adult = 6
Total amount spent (adults) = $9 x 6 = $54
Balance remaining = $78 - $54 = $24
Amount spent of 4 child tickets = $24
No of children = 4
Therefore,
Amount spent on 1 child (1 ticket),
= $24/4 = $6.
It could be seen that each child ticket cost six dollars.
18 is 14 percent of what?
Answers
Answer:
18 is 14% of 128.5714
Step-by-step explanation:
it's 77.78
Step-by-step explanation:
14: 18*100 =
(14*100): 18 =
1400: 18 = 77.78
Now we have: 14 is what percent of 18 = 77.78
Question: 14 is what percent of 18?
Percentage solution with steps:
Step 1: We make the assumption that 18 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=18$100%=18.
Step 4: In the same vein, $x\%=14$x%=14.
Step 5: This gives us a pair of simple equations:
$100\%=18(1)$100%=18(1).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{18}{14}$100%x%=1814
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{14}{18}$x%100%=1418
$\Rightarrow x=77.78\%$⇒x=77.78%
Therefore, $14$14 is $77.78\%$77.78% of $18$18.
10
9
Ryan and Daniel are both packing boxes at a factory. Ryan can pack three boxes every hour. The number of boxes Daniel can pack in
x hours is represented by the equation below.
y = 45
Which of the following correctly describes the two functions?
OA. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
0
ОВ.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Daniel's function has a greater rate of
change than Ryan's function, indicating that Daniel can pack fewer boxes per hour.
OC.
The number of boxes that can be packed by Ryan and Daniel each increases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack more boxes per hour.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack fewer boxes per hour.
OD.
10
Reset
Submit
Submit
8 of 10 Answered
Session Timer: 21:09
Session Score: 38% (318)
- 15
Answers
Answer:
A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
Step-by-step explanation:
Given
Ryan: 3 boxes per hour
Daniel: [tex]y = 4h[/tex]
Required
True statement about their functions
First, we calculate Ryan's function.
In 1 hour, he can pack 3 boxes.
In hours, he can pack 3h boxes.
So, the equation is:
[tex]y = 3h[/tex]
So, we have:
[tex]y = 3h[/tex] ---- Ryan
[tex]y = 4h[/tex] --- Daniel
Both functions represent direct proportional functions.
So, when h increases y also increases.
However, Daniel's function has a greater rate of change because[tex]y = 4h[/tex] implies that he can pack 4 boxes per hour while Ryan can pack 3.
You buy a TV that costs $550 and you pay 6% sales tax. How much do you pay in total for the TV?
$33
$583
$517
$187
Answers
Answer:
$583 :)
Step-by-step explanation:
well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!
Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Answers
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
I seem to be getting my questions wrong or be going on the wrong trail. Can someone help me decode this?
Answers
Answer:
A=4
B=3
C=2
D=1
Step-by-step explanation:
Find x and y with ray theorem
Answers
Answer:
x = 12 and y = 9
Step-by-step explanation:
Using the similarity theorem to fid the value of x and y
16/x = 16+6/16.5
16/x = 22/16.5
22x = 16*16.5
22x = 264
x = 264/22
x =12
Similarly
24/x = 24+y/16.5
24/12 = 24+y/16.5
2 = 24+y/16.5
24+y = 2 * 16.5
24+y = 33
y = 33-24
y = 9
Hence x = 12 and y = 9
What is the domain of the function?
Answers
Answer: -6 ≤ x < 4
Step-by-step explanation:
Open circles on a graph mean that that point is not included
Filled in circles on a graph mean that that point is included
As a result, the end point (-6, -6) is included while (4, 8) is not
The domain is all possible x-values so the graph can be anywhere from:
-6 ≤ x < 4
Note that there are no possible values for the x-value of 4
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
Answers
5 because of slope equation
(1/p-p)(1/p-q)-q/p^2(1/q+qp^2)
Answers
1) Gary makes $15.00 per hour for a five-day
forty-hour work week. Also, he makes double-
time for holidays. This week, he works three
regular days and two holidays. What will be his
paycheck for this week?
A) $$40
B) $850
C) $860
D) $870
E) $880
Answers
Answer:
A) $840
Step-by-step explanation:
15•40 gives us how much money he makes a week normally
divide the result, 600, by 5 to find out how much he makes a day normally which is $120
now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days
so he makes $120 normally and $240 on holiday
120•3= 360
240•2= 480
then add
360+ 480= $840
hope this helps <3
Find all zeros f(x) =x^4-x
Answers
Answer:
0 and 1
Step-by-step explanation:
Answer:x=−4,x=0,x=5
Step-by-step explanation:
take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4
Right answers will get brainliest!
Answers
Answer:
42 = C (y ≤ 2)
43 = G (-x + 4x - 2)
44 = B (Its axis of symmetry is x = 14)
45 = H (x = 2)
What is the slope for (-2,1) and (7,1)
Answers
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
*ill mark brainliest*
A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?
Answers
Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.
Answers
Answer:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]
Required
Solve
Change / to *
[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]
Factor out 3
[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]
Factorize:
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]
Cancel out 3x + 8
[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]
Factorize:
[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]
Combine
[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]
[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]
Express the numerator as a difference of two squares
[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Hence:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Please answer the question above.
Answers
Answer:
∠2 = 80°
Step-by-step explanation:
∠1 and ∠2 are supplementary angles (their sum is 180°)
25+2(3 x 4) - 7=???
Show ur works please
Answers
Answer:
42
Step-by-step explanation:
25+2(12)-7
25 + 24 - 7
49 - 7
42
[tex] \huge \color{Red} Answer: [/tex]
[tex]25 + 2(3 \times 4 ) - 7 = [/tex]
[tex]25 + 2 \times 12 - 7 = [/tex]
[tex]25 + 24 - 7 = [/tex]
[tex]49 - 7 = 42[/tex]
[tex] \huge \color{Blue} Explaination: [/tex]
First, Multiply the numbers inside the parentheses.
Second, Also Parentheses is also a Multiply sign so Multiply 12 and 2.
Third, Follow the left to right rule so add 25 and 24.
Lastly, Subtract the last number.
[tex] \large \color{Purple} Rules \: of \: PEMDAS:[/tex]
Follow left to right rule. Also the PEMDAS rule like:If you see a Parentheses do them first then Exponent next Multiplication and so forth.
[tex] \large \color{Green} PEMDAS \: stands \: for:[/tex]
P - ParenthesisE - ExponentM - MultiplicationD - DivisionA - AdditionS - SubtractionMr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help
Answers
17b + 2.97 = 34.76
17b = 31.79
b = $1.87
A bag of raisins is $1.87
What is the measure of angle RTV?
Answers
Answer:
25 degrees
Step-by-step explanation:
70 degrees times 2 to get 140 for the outside arc on the left, then add 140 plus 90 plus 80 to get 310, then do 360-310 to get 50, then divide that by 2 to get angle RTV which is 25 degrees.
what kpop dances do you recommend to help you , lose weight?
My sister was asking but i didnt know how to answer her..
Answers
Answer:Wonder Girls-Like This. Perfect workout, especially for your inner thighs! ...
Sistar-Loving You. Another great leg workout. ...
Sistar-Touch My Body. Very fun and lighthearted. ...
Sistar19-Ma Boy. Same. ...
Secret-Madonna. I love this dance, it's a classic on my workout routine. ...
Secret-Love Is Move. ...
Hyuna-Bubble Pop. ...
Step-by-step explanation:
1. 2x - 8 when x = 3
2. 45 - (4 . y) when y = 5
3. 32 + 2g -7 when g = 4
Answers
Answer:
2(3)-8
=-2
45-4.5
=40.5
32+2(4)-7
=33
Answer:
1.x37
2.66y
3.59g
Step-by-step explanation:
so you divied and subtract
you do the same
but add for the last
17. What are the coordinates of Cedar Junction?
OA) (-4,5)
OB) (4,5)
OC) (-4,-5)
OD) (4,-5)
Answers
Answer:
(-4, -5)
Step-by-step explanation:
Find the output, y, when the input, c, is 6. HELP ASAP
Answers
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 23‾√ cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answers
Answer:
41.57 cm²Step-by-step explanation:
to understand thisyou need to know about:geometryPEMDAStips and formulas:area of a regular hexagon when apothem is given:½×P×Alet's solve:parimeter of a regular hexagon:6a
therefore
=½×[4×6]×2√3 cm²
simplify parentheses:
=½×24×2√3 cm²
simplify fraction:
=24×√3 cm²
=41.57cm²
Answer:
41.57
Step-by-step explanation:
took the test