Given that angle 4 is corresponding to the angle 6 (They are alternate interior angles), we can say that the answer is 75°.
Find all missing parts of the triangle. When necessary, round answers to the nearest tenth. ONLY enter the answer, not units ordegree symbols.B28САB (angle B)=a (side a)b(side b)Blank 1:Blank 2:Blank 3:
To find all the missing parts of the triangle, we need to know the triangle trigonometry:
We can find the sides first, with the angle A=28 and the hypotenuse=7
\(\begin{gathered} \sin (28)=\frac{a}{7} \\ a=7\sin (28) \\ a=3.3\text{ } \end{gathered}\)Now, the side b:
\(\begin{gathered} \cos (28)=\frac{b}{7} \\ b=7\cos (28) \\ b=6.2 \end{gathered}\)Having all the sides, we can calculate the angle B:
\(\begin{gathered} \sin (B)=\frac{6.2}{7} \\ B=\sin ^{-1}(\frac{6.2}{7}) \\ B=62.3\text{ degr}ees \end{gathered}\)AJ's Car used 3 1/4 gallons of gas on a trip to the beach assume one gallon equals 3.8 what is the best estimate of number of liters AJ's Car use
What is the common ratio of the geometric sequence below?
625, 125, 25, 5, 1,
The common ratio is 1/5. By dividing each word by the term before it, we may find the geometric progression's common difference.
How to find common ratio ?The common ratio in geometric progression is the ratio of any term in the sequence to divided by the first term.
The Formula to calculate the common ratio in geometric progression, a, ar, ar2, ar3, ar4, ar5… is,
Common ratio = ar/ a = ar2/ ar = ……. = an/ an-1
As stated in the definition, we can compute the common difference of a geometric progression by dividing any term by its preceding term.
Given, the geometric sequence is 625, 125, 25, 5, 1,....
We have to find the common ratio of the given geometric sequence.
In geometric sequence, a, b, c, d, … the common ratio r is given by
r = b/a = c/b = d/c.
So, r = 125/625 = 25/125 = 5/25 = 1/5;
r = 1/5
Therefore, the common ratio is r = 1/5.
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Answer:
B. 25/125
Step-by-step explanation:
The store is selling lemons at $0.69 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies,each requiring half a cup of lemon juice?
Answer:
$8.28
Step-by-step explanation:
You need 24 Tablespoons to make 3 of the pies. And each lemon has 2 tablespoons. So you need 12 lemons to make them. Multiply 12 by 0.69 and you get your final answer.
Solve the puzzle and add the colors
Answer:
43
Step-by-step explanation:
Green: 9 - 2(-3) = 9 + 6 = 15
Red: -2(-3) + 4 = 6 + 4 = 10
Dark blue: 7x + 5 = 19
7x = 19 - 5 = 14
x = 14/7 = 2
Light blue: 6x + 3 = 21
6x = 21 - 3 = 18
x = 18/6 = 3
Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43
Working alone, Rob can mop a warehouse
in six hours. Molly can mop the same
warehouse in nine hours. How long would
it take them if they worked together?l
It will take Molly and Rob 54/15 hours to mop the warehouse.
What is defined as the concept of work and time?Work is described as anything that has an impact or has an outcome. When it is stated somebody has done a certain work, it means that he or she has completed all of the work. As a result, if Manu accomplishes his work in 5 days, he will complete 100% of the work in 5 days.As a result, we could indeed say that he completes 20% of a work in one day. Similarly, he completes 40% of a work in two days and 60% of a work in three days.For the given question;
Rob takes 6 hours for cleaning the ware house.
Let 'R' be the work done by rob.
Then, work done by Rob in 6 hours is 1/R = 1/6.
Similarly;
Let work by Molly is 'R'.
The, work done by Molly in 1 hour is 1/M = 1/9.
The total work done by both is 1 hour is;
1/R + 1/M = 1/6 + 1/9
Om simplification;
1/R + 1/M = 15/54.
Thus, the total time taken by doing the work is; 54/15 hours.
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Select all the expressions that are equivalent to (12 + x)10.5.
It’s multiple choice and these are the answers
10.5(12x)
(10.5 + 12 + x)
10.5(12 + x)
126x
126 + 10.5x
22.5 + x
find the measure of the angle
Answer: 86
Step-by-step explanation:
This is a cyclic quadilateral in which opposite angles adds upto 180.
Let the unknown angle be x
ATQ
x + 94 = 180
x = 180 - 94
x = 86
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Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
15 yd
4 yd
0
yd
yd?
yd
10 yd
11 yd
7 yd
Х
$
?
?
Help cuties <3
The value of X assuming that all intersecting sides meet at right angles is 5 yards
The given shape is made up of two rectangles. From the shape, we can deduce that:
15 = 10 + X
Next is to get the unknown value of X
Subtract 10 from both sides
15 - 10 = 10 + X - 10
15 - 10 = X
5 = X
Swap
X = 5yards
Hence the value of X assuming that all intersecting sides meet at right angles is 5 yards
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i need help with this.
Answer:
ubeovgtnwjggswgtepibvqyytkhfhduygvtqyaccjvgvdbbetedgtdgyegghjgdbecdkbfbgdhebhjegeckgbkhbeiubuvvsakvhfe
Step-by-step explanation:
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Solve (x – 3)2 = 49. Select the values of x.
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra IIExpansion on Equality Properties
Square Roots
Application:Step 1: Define
The given equation is as follows: \(\displaystyle (x - 3)^ 2 = 49\)
Step 2: Solve
[Equality Property] Take the square root of both sides:∴ the solution is x = 10 or x = -4.
___
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___
Topic: Algebra II
Unit: Solving square root equations
*Note: Experimental Format
In Mr. Siegel's class, 15% of the students are in the Scrapbooking Club and 45% are in the Cooking Club. His remaining students are in the Board Game Club. Drag numbers to the table to express the percent of students in each club as a fraction and a decimal. Club Fraction Decimal Scrapbooking Club Cooking Club Board Game Club
15% = 15/100 = 3/20 = 0.15 of the students are in the scrap booking club.
45% = 45/100 = 9/20 = 0.45 are in the cooking club.
100% - 60% = 40% = 40/100 = 2/5 = 0.4 are in the board game club.
The triangles are similar, and the angle bisectors are drawn from corresponding angles. what is the value of x?
Answer:
C. 6
Step-by-step explanation:
Given that both ∆s are similar, the ratio of their corresponding sides as well as the ratio of their angle bisectors would be the same.
Therefore, from the figure given, we have:
\( \frac{8}{x} = \frac{4}{3} \)
Cross multiply
\( x*4 = 8*3 \)
\( 4x = 24 \)
Divide both sides by 4
\( x = \frac{24}{4} \)
\( x = 6 \)
The volume of a cuboid is 540cm³. The length is 6cm and the width is 150mm. Work out the height of the cuboid in cm.
Step-by-step explanation:
To work out the height of the cuboid, we need to use the formula:
Volume = Length x Width x Height
We have been given the volume and the length, so we can substitute those values into the formula:
540 = 6 x Width x Height
Now we need to convert the width from millimeters to centimeters, so we divide it by 10:
150mm ÷ 10 = 15cm
Substituting this value into the formula:
540 = 6 x 15 x Height
Simplifying:
540 = 90 x Height
Dividing both sides by 90:
6 = Height
Therefore, the height of the cuboid is 6cm.
i need help on these please
The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.
How to calculate the constant rate of gas?From the given table;
The volume of the first gas Layla bought = 3 gallons.
The cost of the 3 gallons = 9.45
Therefore the cost of 1 gallon = ?
That is:
3 gallons = $9.45
1 gallon = X
Make X the subject of formula:
X = 9.45/3 = $3.15
Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.
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Find the area of the figure to the nearest hundredth.
Step-by-step explanation:
We have 2 Semicircular. area of each one :
\(\pi \: \times \: r\)
r = 2.5ft and pi=~3 ==> 7.5×2=15ft (area of two Semicircular)
the area of triangle = 5 + 5 + 6 = 16ft
area of the figure = 16 + 15 = 31ft
Luke is 5 years older than twice his younger brother Thomas. If Luke is 19, how old is Thomas?
Answer:
Thomas is 14 because 19-5=14
Step-by-step explanation:
brailiest please
Answer:
7
Step-by-step explanation:
19-5=14
14/2=7
Are lines JN and KM parallel?
Answer:yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
if you remove the triangle, they will continuously go on both sides with one on the other.
John is x years old, Ahmad is 3 years older than John. The total of their age is 63 years. Form and equation and work out the age of Ahmad.
Answer:
x = john
x + 3 = ahmad
x + (x + 3) = 63
2x + 3 = 63
2x = 60
x = 30
john is 30 so ahmad is 33
Really Need help asap!
Step-by-step explanation:
h(-2) = 25
h(-1) = 5
h(0) = 1
h(1) = 1/5
h(2) = 1/25
what is the result of the following division 2x3 3x 5 x 3
63:
2x3=6
3x5=15
6+15=21
x 3 =…
63
Step-by-step explanation:
inverse operation needed
Answer:
it is C.
Step-by-step explanation:
we know,
14+17= 31
so if we subtarct 17 from 31 we get 14
and if we subtract 14 from 31 we get 17
Given m ∥ n, find the value of x.
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
10×a number added to 5is same as 9times the nunber is what
Answer:
Negative 5
Step-by-step explanation:
Start by subtracting 5 from both sides, this is because it is the coefficient on the left side.\(10x+5-5=9x-5\)
Next, simplify by subtracting 5. Note that you can't subtract a singular whole number from a term, basically a number with a variable next to it.\(10x+5-5\\= 10x+\left(5-5\right)\\= 5-5\\=0\\=10x+0\\=10x\)
--------------
\(9x-5\\= 9x-5\)
Third, identify the simplified equation.→ \(10x=9x-5\)
Fourth, subtract by the term 9x. You always subtract by the term/leading term on the right side at this point in an inequality or algebraic equation. Note: Assume x is 1 as a placeholder until you find x's real value.\(10x-9x=9x-5-9x\)
\(10x - 9x\\= 1x\\= 1 \times x\\= 1\)
\(9x-5-9x\\=9x\left(-5\right)-9x\\= 9x - 9x\\= 0 - \left(-5\right)\\= -5\\x = -5\)
Hope this helps!
3. What is the breadth of a rectangle
whose length and area are 8cm
and 40cm- respectively?
Answer:
area of rectangle = l×b
or,40=8×b
or,40=8b
or,40/8=b
or,b=5cm is ans
To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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What translation would map C onto A?
A. (x – 7, y + 3)
B. (x + 3, y – 7)
C. (x – 3, y + 7)
D. (x + 7, y – 3)
Answer:
A
Step-by-step explanation:
consider the coordinates of points C and A
C (4, - 1 ) and A (- 3, 2 )
4 → - 3 in the x- direction is - 7
- 1 → 2 in the y- direction is + 3
then the translation rule is
(x, y ) → (x - 7, y + 3 )
Functions defined by integrals, please let me know if you have any questions regarding the materials, I'd be more than happy to help. Thanks!
Given the function
\(D\left(t\right)=\frac{6t}{1+2t}\)Notice that
\(\begin{gathered} D\left(t\right)=6\left(\frac{t}{1+2t}\right)=6\left(\frac{1}{2}-\frac{1}{4t+2}\right) \\ \Rightarrow D\left(t\right)=6\left(\frac{1}{2}-\frac{1}{2\left(2t+1\right)}\right) \end{gathered}\)Then, integrate D(t) from t=0 to t=3, as shown below
\(\Rightarrow\int_0^3D\left(t\right)dt=\int_0^36\left(\frac{1}{2}-\frac{1}{2\left(2t+1\right)}\right)dt=6\left(\frac{1}{2}\int_0^3dt-\frac{1}{2}\int_0^3\frac{dt}{\left(2t+1\right)}\right?\)Then,
\(\Rightarrow\int_0^3D\left(t\right)dt=6\left(\frac{1}{2}*3-\frac{1}{2}\int_0^3\frac{dt}{2t+1}\right)\)As for the remaining integral, set x=2t+1; then dx=2dt. Solving using that substitution,
as for the integration limits, when t=3, x=7, and when t=0, x=1.
\(\int_0^3\frac{dt}{2t+1}=\frac{1}{2}\int_1^7\frac{dx}{x}=\frac{1}{2}\left(ln\left(7\right)-ln\left(1\right)\right?=\frac{1}{2}\left(ln\left(\frac{7}{1}\right)\right)=\frac{1}{2}ln\left(7\right)\)Therefore,
\(\Rightarrow\int_0^3D\left(t\right)dt=6\left(\frac{3}{2}-\frac{1}{2}\left(\frac{1}{2}ln\left(7\right)\right)\right)=9-\frac{3}{2}ln\left(7\right)\)Rounding to three decimal places,
\(\Rightarrow\int_0^3D\lparen t)dt\approx6.081\)Thus, the answer is 6.081
what is equivalent to 6x-3y=12
Answer: x= 1/2y+2
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Using Trigonometry, the value of x in the right triangle is 17.1
Since we have a right angle triangle ; The angle L can be obtained thus ;
L = 180 - (90+67)
L = 23
Using Trigonometry:
Sin23° = opposite/ hypotenuse
Opposite= 6.7
hypotenuse= x
Sin23° = 6.7/x
x = 6.7/sin(23°)
x = 17.14
Therefore, the value of x to the nearest tenth is 17.1
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