Answers
Answer:
9.4 units
Step-by-step
By sine rule:
[tex]\frac{AC}{\sin B} = \frac{AB}{\sin C} [/tex]
[tex]\frac{AC}{\sin 36\degree} = \frac{AB}{\sin 90\degree} \\ \\ \frac{AC}{\sin 36\degree} = \frac{16}{1} \\( \because \: \sin 90\degree = 1) \\ \\ AC = 16 \: \sin 36\degree \\ \\ AC = 16 \times 0.5877852523 \\ \\ AC = 9.40456404 \\ \\ AC \approx \: 9.4 \: [/tex]
Related Questions
geometry please help super important:)
Answers
Answer:
x = -8 + √114 ≈ 2.7 [nearest tenth]
y = 7
Step-by-step explanation:
Given that ∆CAB ≅ ∆CDB, you can use CPCTC [corresponding parts of congruent triangles are congruent] to evaluate the given lengths and angle measures, to show that the corresponding measures are the same for both triangles. Using the triangle sum theorem which states that all angles in a triangle must add up to 180°, you can find ∠ACB.
If ∠CAB = 70°, and ∠ABC = 60°,
∠ACB = 50° because ∠CAB + ∠ABC + ∠ACB = 180°.
∠CAB + ∠ABC + ∠ACB = 180° →
∠ACB = 180° – ∠CAB – ∠ABC
∠ACB = 180° – 70° – 60°
∠ACB = 50°
70° + 60° + 50° = 180°.
Remember, the order of the letters in the angle are very important because it corresponds to the parts of the angle that make up the vertex which is the middle letter, along with the first and last letters which are the endpoints.
Because ∆CAB ≅ ∆CDB,
∠ACB ≅ ∠DCB [CPCTC].
As indicated in the problem, ∠DCB = (x² + 16x)°.
Because ∠DCB ≅ ∠ACB = 50°,
(x² + 16x)° = 50°.
So this can be completed as a square by converting this into vertex form.
x² + 16x = (x + 8)² – 64.
Then, (x + 8)² – 64 = 50.
(x + 8)² – 64 + 64 = 50 + 64 →
(x + 8)² = 114 →
(x + 8) = ±√114 →
x = -8 ± √114 [one more step]
[The measure must be positive so the expression must be added]
x = -8 + √114.
______________
Jane has $1 and 9 quarters in her pile. Brody has 13 quarters in his pile. If Jane gives Brody $1 and Brody gives Jane 4 quarters, will the two piles still be equal in value? Explain.
Answers
Answer:
Yes it will still be equal bc Brody has $3.1 and jane gave brody 1 more dollar then brody gave jane 4 quarters which is 1 dollar that's how the piles will still be the same
Step-by-step explanation:
plz mark brainilist
What is 241.3- 81.55
Answers
Answer:
159.75
Step-by-step explanation:
Hope this helps!!!
241.3
- 81.55
= 159.75
Answer:
The answer is 159.75, have a good day/night☁
ASAP ASAP ASAP PLS PLS PLS PLS PLS PLS PLS ASAP
Answers
Answer:
Your answer would be C
Step-by-step explanation:
5% of 180,00 is 9000
Answer:
$9,000, so c
Step-by-step explanation:
$180,000 X 5% is $9,000
Here are four fractions labelled A, B, C and D.
3 5 16 9
4 6 25 15
А. B С D
Using the labels A, B, C and D, write the fractions in order of size.
Start with the smallest fraction.
I
maths
Answers
Answer:
find the common denominator for all.
and turn into equivalent fractions
so let's say common denominator in this instance is 300 whatever you do to bottom must be done to the top.
4 X 75 =300
3 X 75 = 225
225/300
6 X 50 = 300
5 X 50 = 250
250/300
25 X 12 = 300
16 X 12 = 192
192/300
15 X 20 = 300
9 X 20 = 180
180/300
A)225/300 B)250/300 C)192/300 D)180/300
answer= D, C, A, B
5. The point (-7,4) is reflected over the line x = -3. Then,
the resulting point is reflected over the line y = x. Where
is the point located after both reflections?
A. (-10,-7)
B. (1,4)
C. (4,-7)
D. (4,1)
+(-7,4)
Answers
3. The regular price of boots at shoe carnival are $ 104. The boot are on Clearance for 30% off and then a customer uses a 20% off coupon after that. What is the final cost of the boots?
Answers
Hey there!
The answer to your question is $58.24
First, we will find the clearance price by finding 70% of the original price, since 30% was taken off:
0.70 x 104
72.80
Then, we will find the price after the coupon by finding 80% off 72.80, since 20% was taken off:
0.80 x 72.80
58.24
Hope it helps! Have a great day!
Please help me with this math problem ASAP.
Answers
Answer: x = -4; x = -1; x = 3
see in this graph, at x = {-4; -1; 3} => y = 0
=> the zeros of the function are -4; -1; 3
Step-by-step explanation:
Answer:
x = - 4, x = - 1, x = 3
Step-by-step explanation:
The zeros are the values of x where the graph crosses the x- axis
These occur at
x = - 4
x = - 1 ( multiplicity 2 )
x = 3
If f(x) = x + 15, find f(3)
Answers
Answer:
I think its 18
Step-by-step explanation:
A line passes through the point (–6, –3) and has a slope of 2/3 . Which point is on the same line?
Answers
Answer:
The point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven
The point (-6, -3)The slope m = 2/3Using the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = 2/3(x₁, y₁) = (-6, -3)substituting the values m = 2/3 and the point (-6, -3) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-3\right)=\frac{2}{3}\left(x-\left(-6\right)\right)[/tex]
[tex]y+3=\frac{2}{3}\left(x+6\right)[/tex]
Subtract 3 from both sides
[tex]y+3-3=\frac{2}{3}\left(x+6\right)-3[/tex]
[tex]y=\frac{2}{3}x+4-3[/tex]
[tex]y=\frac{2}{3}x+1[/tex]
comparing with the slope-intercept form y=mx+b
Here the slope = m = 2/3
Y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Given the line
[tex]y=\frac{2}{3}x+1[/tex]
at x = 0, y = 1
Thus, the point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Please help me with #2
Answers
Answer:
The answer is B, your welcome
(-6) + (-3). ?? Thanks
Answers
Answer:
-9
Step-by-step explanation:
remove parentheses
then simplify which will lead you to
-9
since 2 negatives make a positive
1) In 2011, the population of deer in a forest was 650.
a. In 2012, the population increases by 15%. Write an expression, using only multiplication, that represents
the deer population in 2012.
Answers
What is the missing number in the pattern above? 12,84,588,___,28,812
Answers
Answer:
4,116
Step-by-step explanation:
Multiply by 7
12x7=84
84x7=588
and 588x7=4,116
So there's your answer 4,116
Serenity Spa charges $59 for a one-hour massage. They charge $0.95 for each additional minute over an hour. If x represents the number of minutes over one hour, which of the following equations represents the cost of a massage?
A.
y = 0.95x + 59.95
B.
y = 59x + 0.95
C.
y = 0.95x + 59
D.
y = -0.95x + 59
Answers
Answer:
c. y=.95x+59
Step-by-step explanation:
the cost of the one hour massage, then add .95 per every minute (x) extra after the hour
Which answer choice is 350% written as a decimal number? *
0.35
3.5
0.035
350.0
Answers
Answer:
3.5
Step-by-step explanation:
350% in decimal is 3.5
Answer:
3.5
Step-by-step explanation:
round 81*2^x=99 to the nearest hunderedth
Answers
Answer: 0.29
Step-by-step explanation:
If you calculate it's:
0.28950661
You round to the nearest hundred bc it's too long.
Find the number in the hundredth place 8 and look one place to the right for the rounding digit 9. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
PLEASE HELP QUICKLY. I NEED HELP!
Answers
Answer:
4√5
Step-by-step explanation:
c = √a² + b²
c = √4² + 8²
c = √(16 + 64)
c = √80
c = 8.94427 (rounded to nearest 1/100000)
c = 4√5
Please help me it's urgent
Answers
Answer:
16 units
Step-by-step explanation:
Just do the y of J minus the y of M. Multiply by 2 to get both widths together. Then do the x of K minus the x of J. Multiply by 2 to get both lengths together. Add both the answers up. Your final answer should be 16.
What is the area of a circle that has a diameter of
8 inches?
Answers
Answer:
A≈50.27in²
Step-by-step explanation:
16. What type of symmetry does the figure have?
A. Line
B. Point
C. Rotational
D. None
Answers
Answer:
Im guessing either D or C
Step-by-step explanation:
Determine whether the relation is a function:
(3, 2), (1, 2), (4, 3), (6, -2)
Answers
Answer:
it is not a function
Step-by-step explanation:
because the element 2 has not ot unique image
help plz i need help with this please provide an explanation
Answers
To find LD you need to subtract CD to CL
CD - CL = LD
14.2 - 5.3 = 8.9
=> LD = 8.9
Help pls!!!
A farmer budgets $5,000 to buy and feed a cow for 300 days. She buys the cow for $2,000,
so how much can she spend on food each day?
Answers
Answer:
10 dollars
Step-by-step explanation:
10 dollars a day
10x300=3000
3000+2000=5000
Step-by-step explanation:
Convert to slope intercept form: y=mx+b *
2 points
Captionless Image
Answers
Answer:
y=−2x+7
Step-by-step explanation:
Y+1=-2(x-4)
Y+1= -2x+8 step 1: multiply -2(x-4)
Y= -2x+7 Step 2: subtract 1 from both sides
So, your answer is Y=-2x+7
A customer wants to purchase a sweater from a store.
The original price of the sweater is $40.
The sweater is on sale for 20% off the original price.
A sales tax of 5% is applied after the discount.
What was the final price of the sweater?
A
$34.00
B
$30.00
C
$30.40
D
$33.60
please answer quick, doing a test
Answers
Answer:
Step-by-step explanation:
D
Which number is the opposite of Point B on the number line?
Answers
Because the number line is skip counting by 2
-5/6(8+5b) = 75+5/3 b
Answers
Answer:
b = - 14
Step-by-step explanation:
Given
- [tex]\frac{5}{6}[/tex](8 + 5b) = 75 + [tex]\frac{5}{3}[/tex] b
Multiply through by 6 ( the LCM of 6 and 3 ) to clear the fractions
- 5(8 + 5b) = 450 + 10b ← distribute left side
- 40 - 25b = 450 + 10b ( subtract 10b from both sides )
- 40 - 35b = 450 ( add 40 to both sides )
- 35b = 490 ( divide both sides by - 35 )
b = - 14
The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first base throws the ball to a player at third base, what is the distance the player has to throw?
Answers
Answer:
120ft
Step-by-step explanation:
If the bases are 120ft apart from each other you would have to find the distance of going from first to second then to third. Then you divide it in half because you arent going around the diamond, you are cutting right through it.
Answer:
a
Step-by-step explanation:
a
This table shows the distance traveled by a car and the car’s average speed on different days.
A 3-column table with 5 rows. Column 1 is labeled Day with entries 3, 4, 5, 6, 7. Column 2 is labeled Average Speed (miles per hour) with entries 55, 58, 63, 65, 68. Column 3 is labeled Distance (miles) with entries 495, 660, 825, 990, 1,155.
Given that the days are the input, which output has a constant rate of change?
✔ distance
What is the constant rate of change?
✔ 165
Which relationship represents a linear function?
Answers
Answer:
distance to days
Step-by-step explanation:
Answer: distance and 165