Answer:
1) ASA
2) SSA
Step-by-step explanation:
The sine rule is used when we have; ASA, AAS or SSA cases. However, SSA is an ambiguous case which occurs when there are two sides and a given angle opposite one of these given sides. The triangles resulting from a situation like this requires a much closer look in comparison to SSS, ASA, and AAS cases. SSA may result in one triangle, two triangles, or even no triangle at all.
Find the volume of a sphere with a diameter of 3 cm.
Answer:
9/2π
=14.13716694
Step-by-step explanation:
The equation of the volume of the sphere:
V=4/3πr^3
If the diameter is 3cm, the radius is divided by 2, so 1.5cm.
Plug that in, 4/3π1.5^3
Use a calculator:
9/2π
=14.13716694
[tex]14,14~cm^{3}[/tex]
Step-by-step explanation:d = 3cm = 2r => r = d/2 = 3cm/2 = 1,5 cm
[tex]V=\frac{4}{3}\pi*r^{3}\\\\=\frac{4}{3}*\frac{22}{7}*3.375cm^{3}\\ \\=\frac{4*22*3.375}{21}cm^{3}\\ \\=\frac{297}{21}cm^{3}\\ \\[/tex]
≈ [tex]14,14~cm^{3}[/tex]
Which number below is not a rational number? *
325
-45
0
Square root of 3
On a board measuring 1x100, each square is numbered from
1 to 100. Three colors are used to paint the squares from left
to right. The following pattern is repeated: one blue square,
two red squares, three green squares, one blue, two red,
three green and so on.
What is the highest numbered square that is painted blue?
SUV
Answer:
97
Step-by-step explanation:
Given the following conditions :
board measuring 1x100, each square is numbered from 1 to 100
Three colors are used to paint the squares from left to right in the sequence :
one blue, two reds and three green squares in a repeated pattern.
What is the highest numbered square that is painted blue?
The sequence of painting is repeated after :
(1 + 2 + 3) = 6 successive squares
Since the number of squares = 100
Maximum complete repetition possible :
100 / 6 = 16 remainder 4
Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)
On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.
Hence, the highest numbered square that is painted blue is 97
Patterns are simply the rules that guide the formation of elements in a dataset. The highest numbered square that is painted blue is 97.
The sequence is given as:
[tex]Blue = 1[/tex]
[tex]Red = 2[/tex]
[tex]Green = 3[/tex]
The number of squares is given as:
[tex]n = 100[/tex]
First, we calculate the number of complete iteration of the sequence of squares.
[tex]Total = Blue + Red + Green[/tex]
[tex]Total = 1+2+3 =6[/tex]
So, the complete iteration (k) is:
[tex]k = \frac{n}{Total}[/tex]
[tex]k = \frac{100}{6}[/tex]
[tex]k = 16.67[/tex]
Remove decimal (do not approximate)
[tex]k = 16[/tex]
Next, calculate the position of the last element in the iteration.
[tex]Position = k \times Total[/tex]
[tex]Position = 16 \times 6[/tex]
[tex]Position = 96[/tex]
The blue square is the first on each iteration.
So, the highest numbered blue square is:
[tex]Highest = Position + Blue[/tex]
[tex]Highest = 96 + 1[/tex]
[tex]Highest = 97[/tex]
Hence, the highest numbered square that is painted blue is 97.
Read more about patterns at:
https://brainly.com/question/13382968
Find the value of x. Round you answer to the nearest tenth.
20
18
X
Answer:
21.9
Step-by-step explanation:
The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:
x^2 = 9^2 +20^2 = 81 +400
x = √481 ≈ 21.932
The length x is about 21.9 units.
Use the graph below to determine the number of solutions the system has.
Answer:
The system has 4 solutions
Step-by-step explanation:
When the two lines meet at a point it means that the point is a solution, in this case the lines meet 4 times.
Solve 2x + 2 > 10
A. x < 6
B. x > 4
C. x > 6
D. x < 4
Answer:
2x + 2 > 10
2x > 10 - 2
2x > 8
x > 8
B. x > 4.
Answer:
B. x>4
Step-by-step explanation:
2x + 2 > 10
In order to solve this inequality, we must isolate the variable, x , on one side of the inequality.
2 is being added to 2x. The inverse of addition is subtraction. Subtract 2 from both sides of the inequality.
2x+ (2-2) > 10-2
2x > 10-2
2x > 8
x is being multiplied by 2. The invers of multiplication is division. Divide both sides of the inequality by 2.
2x/2 > 8/2
x > 8/2
x > 4
The solution to the inequality 2x+2 > 10 is x > 4 and the correct answer is B.
Pablo drew a square that had a side of length of 6 inches. What is the perimeter of pablos square
Answer:
24 inches
Step-by-step explanation:
Because we know that Pablo drew a square, we can correctly assume that all sides have equal lengths. There are four sides to a square, so taking the number 6, 4 times (6*4) gives us 24!
Prove that \P(A) \cup \P(B) \subseteq \P(A \cup B) and find a counter-example to show that we don't always have equality
Answer:
P(A) ∪ P(B) ⊆ P(A ∪ B) can be proved when [tex]X[/tex] ∈ P ( A U B )
Step-by-step explanation:
To Prove that P(A) ∪ P(B) ⊆ P(A ∪ B) is attached below and also a counter example to prove that we do not always get an equality is attached below as well
Can someone help me find the angle measurements
Answer:
12. 50 degrres
13. 90 degrees
14. 40 degrees
15. 50 degrees
16. 130 degrees
17. 90 degrees
Step-by-step explanation:
12. Angle UAY is equal to 50 degrees as it is stated in the graph
13. Angle YAZ is 90 degrees, as there is a square at the angle, meaning that the angle is a right angle.
14. Angle ZAX + Angle UAY + Angle YAZ = 180, as it is supplementary.
We know Angle UAY and Angle YAZ, so we can find Angle ZAX
Angle ZAX = 180 - UAY - YAZ = 180 - 50 - 90 = 40 degrees
15. Angle XAW = 50 degrees, as it is vertical angles with Angle UAY.
16. Angle WAU = Angle YAX = Angle YAZ + Angle ZAX = 90 + 40 = 130 degrees
17. Angle ZAW and Angle YAZ are supplementary, so they add up to 180 degrees.
Angle YAZ = 90 degrees, so Angle ZAW must also equal 90 degrees.
Which of these is not a technique that can be used to randomly assign students to a treatment group?
Answer:
A. Winning an election for class president.
Step-by-step explanation:
It would not be fair because in an election you have to vote and having people vote into what group to be in, would not be randomly assigned and it would not be fair.
Answer:
A
Step-by-step explanation:
Did it already
Factor 9x2 - 4y2 Group of answer choices
(3x - 2y) (3x + 2y )
(3x - 2y) (3x - 2y )
(x - 2y) (x + 2y )
(3x - y) (3x + y )
Answer:
(3x-2y)(3x+2y)
Step-by-step explanation:
Proof:
(3x-2y)(3x+2y)-use FOIL method (First, Outer, Inner, Last)
3x*3x+2y3x-2y3x-2y*2y
9x^2+0-4y^2
9x^2-4y^2
The answer is (3x-2y)(3x+2y).
Find the conjugate of 9 - (-4i).
Answer:
9 + (-4i) = 9 - 4i
What simplified common fraction is equivalent to $0.0\overline{57}$?
Answer:
0
Step-by-step explanation:
0/57 is going to be 0 since you have 0 out of 57 pizzas.
Answer:
90/330
Step-by-step explanation:
Aops Question
What’s the awnser to this please
Answer:
BC=6
Step-by-step explanation:
The perimeter is the sum of all the side lengths.
Thus, add up all the sides.
And we already know the perimeter is 64. Thus:
[tex](3z)+(10)+(z-1)+(2z+3)+(10)=64[/tex]
Combine like terms and add the numbers:
[tex]6z+22=64[/tex]
Subtract 22 from both sides:
[tex]6z=42[/tex]
Divide by 6:
[tex]z=7[/tex]
So, z is 7.
BC is z-1. Therefore:
[tex]BC=z-1\\BC=7-1=6[/tex]
So, BC is 6.
Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of error seven percentage points; confidence level 90%; from a prior study, is estimated by the decimal equivalent of 54%
n=_____ (round to the nearest integer.)
Answer:
137
Step-by-step explanation:
Given the following :
Margin of Error (E) = 7% = 0.07
Confidence level = 90% = 0.9
Prior study (p) = 54% = 0.54
Using the sample size formula:
([Z/E]^2) × p × (1 - p)
(1 - p) = 1 - 0.54 = 0.46
Z score at 90% confidence interval. = 1.645
[(1.645 / 0.07)^2] * 0.54 * 0.46
(23.5^2) * 0.54 * 0.46
552.25 * 0.54 * 0.46
= 137.1789
= 137
Sample size = 137
Suppose your car averages 38 miles per gallon on the high-
way if your average speed is 55 miles per hour, and it aver-
ages 32 miles per gallon on the highway if your average speed
is 70 miles per hour.
a. What is the driving time for a 2000-mile trip if you drive
at an average speed of 55 miles per hour? What is the driving
time at 70 miles per hour?
b. Assume a gasoline price of $2.55 per gallon. What is the
gasoline cost for a 2000-mile trip if you drive at an average
speed of 55 miles per hour? What is the gasoline cost at
70 miles per hour?
Some one please help me on these questions! They’re getting a little harder now!!
Answer:
a. around 36.36 hours; around 28.57 hours
b. $134.21; $159.38
Step-by-step explanation:
a. The driving time at 70 miles per hour is 28.57 hours
b The gasoline cost for this trip would be $159.38.
How to calculate the costa. At an average speed of 55 miles per hour:
Time = 2000 miles / 55 miles per hour = 36.36 hours
At an average speed of 70 miles per hour:
Time = 2000 miles / 70 miles per hour = 28.57 hours
b. At an average speed of 55 miles per hour:
The car averages 38 miles per gallon on the highway.
Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 38 miles per gallon = 52.63 gallons
The gasoline cost for this trip would be: 52.63 gallons * $2.55 per gallon = $134.13.
At an average speed of 70 miles per hour:
The car averages 32 miles per gallon on the highway.
Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 32 miles per gallon = 62.50 gallons.
The gasoline cost for this trip would be: 62.50 gallons * $2.55 per gallon
= $159.38.
Learn more about cost
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The perimeter of a rectangle is 90 cm the length is 27 cm what is the width of the rectangle
Answer:
width = 18 cm
Step-by-step explanation:
perimeter of rectangle = 2(length + width)
then:
90 = 2(27+w)
90/2 = 27+w
w = width
45 = 27+w
45 - 27 = w
18 = w
Check:
90 = 2(27+18)
90 =2*45 =
Please Help! I'm stuck!
Answer:
C. [tex]5 (\frac{x}{z}) ^1^0[/tex]
Step-by-step explanation:
Hey there!
Given
[tex]\frac{15 x^-^3 z^5}{3 x^7 z ^-^5}[/tex]
Well to solve this we first need to do 15 ÷ 3
= 5
When dividing exponents we actually subtract.
-3 - 7 = -10
5 - -5 = 10
[tex]5 x^-^1^0 z^1^0[/tex]
Hope this helps :)
Answer:
D. 5 (z/x)^10.
Step-by-step explanation:
15/3 = 5
x^-3 / x^7 = x^-10 = 1/x^10
z^5 / z^-5 = z ^10
So the answer is 5 * z^10 * 1/x^10
= 5 z^10 / x^10
= 5 (z/x)^10.
add the fractions and simplify the answer:2 1/4+5 5/6+3 2/3
write a real world problem for the following experssions. m+9
Answer:
A number increased by 9.
Step-by-step explanation:
A number= can be denoted by any letter.
increased= +
by 9= 9
Hope this helps ;) ❤❤❤
Ms. Sanders invested in a stock. During the first year, the value of the stock tripled. The next year, the value of the stock decreased by $600. Write an expression that can be used to represent the value of her stock at the end of the second year. Be sure to indicate what the variable in your expression represents. (please help I am lost)
Answer:
Value in $= 3x -600
Step-by-step explanation:
Let the value of the stock before investment= x
At the first year , the value tripled
Value after first year=3x
The second year , the stock reduces by $600.
So
The value of the stock after the second year
Value in $= 3x -600
m+q+ p; use m = 2, p = 1, and q = 3
In the diagram below, AngleDAB and AngleDAC are adjacent angles. Lines A B, A D, and A C create two angle. The space between lines A B and A D is (2 x minus 10) degrees. The space between lines A D and A C is (x minus 20) degrees. If mAngleDAC = 25°, what is mAngleDAB in degrees? What is Angle BAC in degrees? Which defines a circle?
Answer:
∠DAB = 80°
∠BAC = 105°
Step-by-step explanation:
You are given ...
∠DAC = 25° = (x -20)°
Adding 20°, we have ...
x° = 45°
Then the measures of the other angles are ...
∠DAB = (2x -10)° = 2(45°) -10°
∠DAB = 80°
and
∠BAC = ∠DAB +∠DAC = 80° +25°
∠BAC = 105°
_____
Nothing in this problem statement defines a circle.
What are all the terms in the expression 4mn + m + 5 and which is a constant
Answer:
m and n are variables whereas 4 and 5 are constant terms or coefficient.
Step-by-step explanation:
hope it will help ^_^
Answer:
Below
Step-by-step explanation:
● 4 and 5 are constants since their values don't change.
● m and n are variables since they can take any value.
If HFG is complementary to ACB, then
A. ACB is complementary to DFH
B. ACBEZDFH
C. ACB is supplementary to DFH
D. ACBZHFG
Mark this and return
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answer:
54 cm^2.
Step-by-step explanation:
Area = 1/2 * altitude * base
= 1/2 * 6 * 18
= 54 cm^2.
A maritime flag is shown. What is the area of the shaded part of the flag? Explain
or show your reasoning.
8 in
6 in
6 in
4 in
Answer:
[tex]Area = 72in^2[/tex]
Step-by-step explanation:
Your question is incomplete without an attachment (See attachment)
Required
Determine the area of the shaded part
From the attachment;
Assume that the shaded portion is closed to the right;
Calculate the Area:
[tex]Area_1 = Length * Width[/tex]
[tex]Area_2 = 8in * (6in + 6in)[/tex]
[tex]Area_2 = 8in * 12in[/tex]
[tex]Area_1 = 96in^2[/tex]
Next;
Calculate the Area of the imaginary triangle (on the right)
[tex]Area_2 = \frac{1}{2} * base * height[/tex]
[tex]Area_2 = \frac{1}{2} * (6in + 6in) * 4in[/tex]
[tex]Area_2 = \frac{1}{2} * 12in * 4in[/tex]
[tex]Area_2 = \frac{1}{2} * 48in^2[/tex]
[tex]Area_2 = 24in^2[/tex]
Lastly, calculate the Area of the Shaded Part
[tex]Area = Area_1 - Area_2[/tex]
[tex]Area = 96in^2 - 24in^2[/tex]
[tex]Area = 72in^2[/tex]
Hence,
The area of the shaded part is 72in²
A pre-paid cell phone company charges $10.4 as a monthly access fee and $0.18 per minute of calling time. Express the monthly cost C in terms of minutes of call time. What will the monthly cost be if you make 315 minutes of calls this month?
Answer:$67.10
Step-by-step explanation:
Using the first statement we can generate the equation c= 0.18m + 10.4 where c is the cost and m is the number of minutes. So if you make 315 minutes of call then input that for m and solve for c.
c= 0.18(315) + 10.4
c= 67.10
An integer between 7.2 and 8.8.
Answer:
1
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
integer has no decimal point.
The 2 integer seemingly that is present is 7 and 8.
HOWEVER, 7 is less than 7.2, so it is not the answer
7.2<8<8.8
So it fits in the range
ANSWER IS 8Hope this helps!! :)
Please let me know if you have any question
royal paid 48 dollars for 12 cartons of orange juice. wha is the unit rate per carton of orange juice that royal paid
Answer:
$4
Step-by-step explanation:
If 1 carton is $4 than 12 cartons would be 48 dollars because 12*4 is 48. So each carton is $4. Please give brainliest Thanks