Answers
Answer:
Step-by-step explanation:
CD = 4sin30 = 4(1/2) = 2
∠BDC = 180 - 90 - 60 = 30°
BDcos30 = CD = 2
BD = 2/cos30 = 2/ (½√3) = 4/√3 = (4/3)√3
another way to do it would be
∠BDC = 180 - 90 - 60 = 30°
∠ADC = 180 - 90 - 30 = 60°
therefore
∠BDA = 60 - 30 = 30°
We can see the upper triangle is an isosceles triangle where lengths AB = BD and the angle between them is 180 - 30 - 30 = 120°
Using law of Sines
4/sin120 = BD/sin30
BD = 4sin30/sin120 = 4(½)/(½√3) = 4/√3 = (4/3)√3
or we could use the law of Cosines
c² = a² + b² - 2abcosC
BD² = AB² + 4² - 2(AB)(4)cos30
BD = AB = x
x² = x² + 4² - 2(x)(4)cos30
0 = 4² - 2(x)(4)cos30
4² = 2(x)(4)cos30
x = 4²/(2(4cos30)) = 2/cos30 = 2/ (½√3) = 4/√3 = (4/3)√3
Related Questions
Denise saves her coins in a cube-shaped coin bank. Her coin bank is 7 inches wide and 7 inches tall. What is the volume of Denise's coin bank?
Answers
bearing in mind that a cube has all equal sides, Check the picture below.
A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 60% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand =
Second Brand=
Answers
Answer:
Step-by-step explanation:
Let x be the portion of 60%
180 - x is the portion of 40%
0.60x + 0.40(180 - x) = 0.55(180)
0.60x + 72 - 0.40x = 99
0.20x = 27
x = 135
180 - 135 = 45
First brand = 45 gallons of 40%
Second Brand = 135 gallons of 60%
During the year 2011 season a quarterback passed for 302 yd per game he played on my 16 regular season game for that year for how many total yards did the quarterback pass
Answers
Answer:
4,832 yards
Step-by-step explanation:
302x16=
Find the volume of the following cone.
Round your answer to the nearest integer
Answers
Check the picture below.
[tex]\textit{volume of a cone}\\ V = \cfrac{\pi r^2 h}{3}~~ \begin{cases} r = \stackrel{radius}{12}\\ h = \stackrel{height}{5} \end{cases} \\\\\\ V = \cfrac{\pi \cdot 144\cdot 5}{3}\implies V = 240\pi \implies V\approx 753.98\implies V = \stackrel{\textit{rounded up}}{754}[/tex]
Myra incorrectly factors 15 a-20ab as 5a( 3-4ab).
Factor the expression correctly.
Answers
15a - 20ab
Here, '5' & 'a' are the common factors. So factor them out.
=》15a - 20ab
=》5a (3 - 4b)
Myra incorrectly put 'a' inside the bracket which is wrong because 'a' is a common factor too along with 5.
_____
RainbowSalt2222 ☔
Hannah has a chicken coop with six hens. Let X represent the total number of eggs the hens lay on a random day. The distribution for X is given in the table.
What is the probability that the hens lay a total of two eggs?
0.05
0.07
0.12
0.93
Answers
Answer:
0.07
Step-by-step explanation:
I'm sorry if its wrong
The probability that the hens lay a total of two eggs is 0.07. Therefore, the option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Hannah has a chicken coop with six hens.
Let X represent the total number of eggs the hens lay on a random day.
Let the probability that the hens lay a total of two eggs be y
From the table,
X=0.02+0.03+y+0.12+0.30+0.28+0.18
We know that, the total of probability should be 1.
Now, 1=0.02+0.03+y+0.12+0.30+0.28+0.18
1=0.93+y
y=1-0.93
y=0.07
Therefore, the option B is the correct answer.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ7
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
1
4
6
12
Answers
we have a = 4, b = 3 , and c = 10
So 3a4b−c = 3 x 4 x 4 x 3 - 10 = 134
ok done. Thank to me :>
b. During two years of college, a student earned $12,000. The second year she earned $500
more than twice the amount she earned the first year. How much did she earn the first
year?
Answers
Answer:
6000 dollars duhhhhhhhhhhhh
1.25 is closer to 1.04 or not ?
plz heelp
Answers
Write the equation of the line graphed below
Answers
Answer:
y= -1
Step-by-step explanation:
I think mainly because it's on the Y axis (horizontal line) on the negative so it would be ethical for that to be the answer
Review of Fractions, Decimals, Proportions and Percentages:
Renee got a 27 out of 30 on an essay in COM-121. Choose all that are equivalent.
0.90
90%
9:10
111%
9/10
Answers
Answer: The correct answer is 0.90, 90%, 9:10, and 9/10.
Step-by-step explanation:D
Finn collected 4 3/8 pounds of newspaper for the recycling drive, Neil collected 2 times as
much newspaper as Finn. How many pounds of newspaper did Neil collect?
Write your answer as a fraction or as a whole or mixed number
Answers
Answer:
Finn collected 45 1/9 pounds of newspaper [mixed fraction]
Finn collected 406/9 pounds of newspaper [proper fraction]
Step-by-step explanation:
We know Neil collected 4 5/6 pounds of newspaper and Finn collected 9 1/3 times that amount. The question asks us to perform a fraction product, where each one is a mixed fraction.
Finn collected
4 5/6 x 9 1/3
Each fraction will be converted to proper fraction
Jonah collected 45 1/9 pounds of newspaper [mixed fraction]
Jonah collected 406 1/9 pounds of newspaper [proper fraction]
Doing Test Corrections
A. 5
B. 4
C.6
D. 9
Answers
Members of the chess club held a bake sale to raise money. Cupcakes and cookies were sold. Cupcakes were sold for two dollars each. Cookies were sold for $0.50 each. The members sold a total of 450 items. Of the items sold 2/3 were cupcakes and the remaining items were cookies. How much did the chess club members raise for the cookies that were sold?
A=150.00
B=85.00
C=75.00
D=450.00
Answers
Total amount raised for the cookies is $75, Option C is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Cupcakes were sold for two dollars each.
Cookies were sold for $0.50 each.
The members sold a total of 450 items.
Let x be the number of cupcakes and y be number of cookies
x+y=450
Of the items sold 2/3 were cupcakes and the remaining items were cookies.
x = 2/3×450 = 300
Y= 450 - 300 = 150
The total amount raised from the cupcakes is $2× 300 = $600.
The total amount raised from the cookies is $0.50 × 150 = $75.
Hence, total amount raised for the cookies is $75, Option C is correct.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ6
I forgot how to do this n they didn’t put an example help me lol
Answers
Answer:
60[tex]m^2[/tex]
Step-by-step explanation:
First, find the area of the square as it the missing piece wasn't missing.
8 x 9 = 72[tex]m^2[/tex]
Then, find the area of the missing section.
3 x 4 = 12[tex]m^2[/tex]
Finally, subtract 12[tex]m^2[/tex] from 72[tex]m^2[/tex] and you get 60[tex]m^2[/tex]
If x > y, then will always be an integer.
True
Or false
Answers
Answer:true
Step-by-step explanation:
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective.
Step 1 of 2: Suppose a sample of 1221 floppy disks is drawn. Of these disks, 61 were defective. Using the data, estimate the proportion of disks which are defective.
Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answers
Answer:
a
Step-by-step explanation:
a
Given the perimeter P and the side B on the following rectangle are as indicated, find the side.
Answers
Answer:
a=7.6
Step-by-step explanation:
Since the perimeter is the length of the circumference, P=2a+2b=2(a+b)
We know b and P and if we do the math we get the answer
The ratio of the number of Marbles zali had to the number of marbles muthu had was 3 : 4 muthu gave half of his marbles to zali what was the new ratio of the number of marbles zali had to the number of marbles muthu had ?
Answers
Using the given ratio 3:4, Zali has 3 marbles and Muthu has 4 marbles.
If Muthu gives half of his marbles to Zali, Muthu would have 2 marbles (4/2 = 2) and Zali would have 5 ( 3+2 = 5). The ratio would now be 5:2
Answer: 5:2
Check for reasonableness 643 + 282
Answers
643 + 282 just add them it’s easier to add them with the bigger number on top first the the least number.
Is 1.572735 rational?
Answers
Answer:
yes
Step-by-step explanation:
it is rational
Answer:
Yes
Step-by-step explanation:
To write 1.572735 as a fraction you have to write 1.572735 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
1.572735 = 1.572735/1 = 15.72735/10 = 157.2735/100 = 1572.735/1000 = 15727.35/10000 = 157273.5/100000 = 1572735/1000000
And finally we have:
1.572735 as a fraction equals 1572735/1000000
And since there is a ratio (a proper fraction) number, it is rational.
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
Answers
Answer:
x = 53
Step-by-step explanation:
AB ║ CD Given
m ∠APQ = m ∠RQP = 62° If parallel lines, then alternate interior angle =
m ∠DRP + m ∠PRQ = 180° These angles form a linear pair which = 180°
115° + m ∠PRQ = 180° Substitution
m ∠PRQ = 65° Subtraction
m Δ QPR = 180° Definition of triangle
m Δ QPR = m ∠PQR + m ∠QPR + m ∠PRQ the sum of the angles of triangle
180° = 62° + x + 65°
180 = 127 + x
53 = x
In economics, a firm that faces no competitors is referred to as_____
Answers
Answer:
monopoly
Step-by-step explanation:
that's how the game's name was created
This diagram shows a pre image triangle ABC and its image triangle A'B'C' , after a series of transformations. Select from the drop down menu to correctly complete the statements.
Answers
Answer:
Step-by-step explanation:
ABC is translated right 4 units to become A'B'C'
which is then
Mirrored over the x axis to become A"B"C"
no idea what the last two might be because we don't know the options.
Could be "similar" "magnification of 1" "congruent"
The perimeter of a rectangle is 94 yards. The width is 23yards less than the length. Find the length and the
width of the rectangle.
Answers
Answer:
The length = 35 ; The width = 12
Step-by-step explanation:
Perimeter = 2L + 2W
Length = x
Width = x - 23
94 = 2(x) + 2(x - 23)
94 = 2x + 2x - 46
94 = 4x - 46
94 + 46 = 4x
140 = 4x
140/4 = x
35 = x The length = 35; The width = (35 - 23) = 12
Perimeter = 2L+2W
Length = x
Width = x-23
94=2(x)+2(x-23)
94=2x+2x-46
94=4x-46
94+46
140=4x
140/4 4x/4
35=x (length)
35-23=12 (width)
If one inch is equivalent to 2.54 cm, then how many inches are there in 20.8 cm?
Answers
Answer:
8.18897637795
Step-by-step explanation:
20.8 divided by 2.54 equals 8.2. So 8.2 inches is you answer.
Answer:
1 inch =2.54cm
number of inches in 20.8 = 20.8/2.54 = 8.1889 inches
hope this will help you
plz help me i will mark brainest
what is s
Answers
Answer:
12?
Step-by-step explanation:
6/8 = 9/?
8 x 9=72
72/6= 12
Answer:
6 / 8 on the small triangle and 9 on the big one
Step-by-step explanation:
#14 A scale drawing of a rectangular room measures 2 cm by 4 and 1/4 cm. E
The scale used for the scale drawing is 1/2 cm = 5 ft. Carpeting will cost
$8.50 a square foot. How much will it cost to buy enough carpet to cover
the floor of this rectangular room? (**numbers and decimal only in answer
** NO $$ NO comma**) *
Answers
Answer:
Step-by-step explanation:
Width
1/2 cm = 5 feet
2cm = x Cross Multiply
1/2 x = 2 * 5 Combine
1/2 x = 10 Multiply both sides by 2
x = 20
Length
1/2 cm = 5 feet
4 1/4 cm = x Cross Multiply
1/2 x = 4 1/4 * 5 Combine the right
1/2 x = 21.25 Multiply both sides by 2
x = 42.5
Room Area
Area = 20 * 42.5
Area = 850 square feet
Cost
1 square foot costs 8.5 dollars.
850 square feet costs 8.5 * 850
850 square feet costs 7225 dollars.
need help rn please?/..Thank you. Multiple step equation
Answers
Answer:
The answer (using BEDMAS) is 27
Step-by-step explanation:
The equation 9 x [(18+2) ÷ 5 - 1] is solved using BEDMAS or PEDMAS
First solve the smaller bracket
18 + 2 = 20
So then it becomes 9 x [20 ÷ 5 - 1]
Do the division inside the bracket next
20 ÷ 5 = 4
Then it becomes 9 x [4 - 1]
Do then subtraction within the bracket
4 - 1 = 3
Then it becomes 9 x 3
Finally solve 9 x 3 which equals 27
The point (5 5/8, 2 1/4) lies on a line that represents a proportional relationship between two units of measure.
a. What is the constant of proportionality, or the unit rate (Leave answer as a fraction)?
b. Write an equation to represent this relationship (write rate as a fraction).
c. If point (6 1/2, y) also lies on this same line, what the value value of y, (otherwise, the y coordinate point?(Write point as a mixed fraction).
Answers
9514 1404 393
Answer:
a) k = 2/5
b) y = 2/5x
c) y = 2 3/5
Step-by-step explanation:
a)The proportional relation is described by the equation ...
y = kx . . . . . . k is the constant of proportionality
The value of k can be found by dividing the equation by x:
y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45
k = 2/5
__
b)As above, the equation is ...
y = kx
y = 2/5x
__
c)Using 6.5 for x, we have ...
y = (2/5)(6.5) = 2.6 = 2 3/5
