Answer: If you have SSA, then the third side determines the triangle. If it is too short to intersect the other side, then it does not form a triangle. The third side can also be just the right length to meet the other side, making one triangle. Finally, the third side might be long enough to intersect the other side at two different points, creating two triangles.
i just took the assignment
There are different rules in mathematics. The explanation is that when a person have SSA, the third side is often used to know the type of triangle and also;
When it too short to pass through the other side, it rather then not form a triangle. The third side can be the appropriate length to meet the other side, creating one triangle.
Furthermore, the third side can be able to pass through or intersect the other side at two key areas or points, forming two triangles.
Note that;
When the third side of the triangle is too little to intersect the other side, there is no triangles that is created.When the third side is said to be long enough to meet the other side at a certain point, only one triangle is created.When the third side is able and long enough to pass through the other side at two points, as a result, two triangles are created or made.Can The Law of Sines be used in SSA case?"SSA" is known to be when one knowns two sides and an angle that is said to be not or not part of the angle between the sides.
The Law of Sines is known to be used first to calculate one of the other two angles.
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A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid?
The correct expression representing the volume of the pyramid is:
[tex]\[ \frac{1}{3} \times x^2 \times y \[/tex]. Therefore the correct option is 2.
The volume [tex]\( V \)[/tex] of a pyramid is given by the formula:
[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]
For a square pyramid, the base area is given by [tex]\( \text{Base Area} = \text{side length}^2 \)[/tex].
In this case, the side length is [tex]\( x \)[/tex] and the height is [tex]\( y \)[/tex]. Therefore, the expression for the volume [tex]\( V \)[/tex] is:
[tex]\[ V = \frac{1}{3} \times x^2 \times y \][/tex]
Now, let's compare this with the given options:
1. [tex]\( \frac{1}{3}xy \)[/tex] cm³
2. [tex]\( \frac{1}{3}x^2y \)[/tex] cm³
3. [tex]\( \frac{1}{2}xy^2 \)[/tex] cm³
4. [tex]\( \frac{1}{2}x^2y \)[/tex] cm³
Now, we can see that the correct expression representing the volume of the pyramid is:
[tex]\[ \frac{1}{3}x^2y \, \text{cm}^3 \][/tex]
So, the correct option is option 2: [tex]\( \frac{1}{3}x^2y \)[/tex] cm³.
The correct expression representing the volume of the pyramid is:
[tex]\[ \frac{1}{3} \times x^2 \times y \[/tex]
Complete question:
A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid?
1. [tex]\( \frac{1}{3}xy \)[/tex] cm³
2. [tex]\( \frac{1}{3}x^2y \)[/tex] cm³
3. [tex]\( \frac{1}{2}xy^2 \)[/tex] cm³
4. [tex]\( \frac{1}{2}x^2y \)[/tex] cm³
Look at the figure. If doing a two-column proof, what will be the very last statement?
Question 1 options:
X = 15
MN¯¯¯¯¯¯¯ = RS¯¯¯¯¯
Division Property of Equality
3x+3 = 5x-27
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F(x) = |x − 1| find the derivative from the left at x = 1. if it does not exist, enter none.
Suppose you need to buy fabric to make costumes for a school play. The budget is $16 for each costume.
You need 12 costumes made from brown fabric. Each brown costume needs 3.25 yards of fabric. You need 8 costumes made from red fabric. Each red costume needs 3.5 yards of fabric.
You have gotten prices from two stores.
Store A: Brown fabric is $4.25 per yard. Red fabric is $4.75 per yard. On any purchase over $40, you will receive a $10 coupon for your next purchase. This store is 5 miles from school.
Store B: Both fabrics are $4.50 per yard. This store is walking distance from school.
What is the maximum budget for the fabric?
sam and bethan share £54 pounds in the ratio 5:4 workout how much each person gets
ratio is 5:4
5+4 =9
54 pounds divided by 9 = 6
6*5 = 30
6*4 = 24
Sam gets 30 pounds Bethan gets 24 pounds
What is the product of −412 and 212 ? Enter your answer as a mixed number, in simplified form, in the box.
If Juan paid $21.30 for 7.1 pounds of salmon, what was the price of 1 pound of salmon?
How can the pythagorean theorem be used to classify acute, right, and obtuse triangles?
Translate the following phrase into an algebraic expression or equation.
the square of the difference of two numbers
find the sum of the first 30 terms of the equation below: an=4n+1
Answer:
1,890 is the sum of the first 30 terms of the equation .
Step-by-step explanation:
[tex]a_n=4n+1[/tex]
if , n = 1
[tex]a_1=4\times 1+1=5[/tex]
If, n = 2
[tex]a_2=4\times 2+1=9[/tex]
If, n = 3
[tex]a_3=4\times 3+1=13[/tex]
The arithmetic sequence comes out to be:
5, 9, 13........
a = 5
d = [tex]a_2=a_1=9-5=4[/tex]
The sum of first 30 terms is given by:
[tex]S_n=\frac{n}{2}\times (2a+(n-1)d)[/tex]
[tex]S_{30}=\frac{30}{2}\times (2\times 5+(30-1)\times 4)[/tex]
[tex]S_{30}=1,890[/tex]
1,890 is the sum of the first 30 terms of the equation .
A train travels from city a to city b and then to city
c. the distance from a to b is 200 miles and the distance from b to c is 70 miles. the average speed from a to b was 50 miles per hour, and the average speed from b to c was 35 mph. what was the average speed from a to c (that is for the entire trip) in miles per hour?
Please help me thank you.
Solve the equation
9|9-8x|=2x+3 show work.
To solve the equation 9|9-8x|=2x+3, follow these steps: remove the absolute value by considering both positive and negative cases, combine like terms, solve for x, and simplify the solutions.
Explanation:To solve the equation 9|9-8x|=2x+3, we need to isolate the variable x. Let's start by removing the absolute value by considering both positive and negative cases.
Case 1: Positive
9-8x = 2x+3
Combine like terms: -8x - 2x = 3 - 9
-10x = -6
Divide both sides by -10: x = -6/-10
Simplify: x = 0.6
Case 2: Negative
-(9-8x) = 2x+3
Distribute the negative sign: -9+8x = 2x+3
Combine like terms: 8x - 2x = 3 + 9
6x = 12
Divide both sides by 6: x = 12/6
Simplify: x = 2
Therefore, the solutions to the equation are x = 0.6 and x = 2.
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If you subtract twelve from twice a number, the result is eight. what is the number?
Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?
line AB
line CD
line FG
line HJ
Answer:
line HJ
Step-by-step explanation:
we know that
The equation of the line that has a slope of [tex]3[/tex] and a y-intercept at [tex](0, 0)[/tex] is equal to
[tex]y=3x[/tex] -----> is a proportional relationship
Remember that
If two lines are parallel , then their slopes are the same
Find the slope of the line HJ
[tex]H(-1,-4), J(1,2)[/tex]
The formula to calculate the slope between two points is equal to
[tex]m=\frac{2+4}{1+1}[/tex]
[tex]m=\frac{6}{2}[/tex]
[tex]m=3[/tex]
therefore
The line HJ is parallel to the line [tex]y=3x[/tex]
Consider kite FGHJ. What are the values of a and b?
Answer:
Hmmm... interesting on my final I answered B: a=14, b=8 and got it wrong but, when I did it again I got C: a=17, b=6
Step-by-step explanation
Answer:
The value of a=17 cm and b=6 cm
C is correct option.
Step-by-step explanation:
Given: FGHJ is a kite.
Kite has property their adjacent sides are equal. Top two side of the kite is equal and bottom two side of the kite is equal.
FG=GH because ∠F=∠H.
30=2a-4
2a=34
a=17 cm
Similarly, ∠F=∠H
FJ=HJ
3b+6=24
3b=18
b=6 cm
Hence, The value of a=17 cm and b=6 cm
Rectangle ABCD is transformed to AB’C’D’ by a dilation .What is the scale factor used for the dilation ?
Answer: The required scale factor that is used for the dilation is 3.
Step-by-step explanation: Given that the rectangle ABCD is transformed to A'B'C'D' by a dilation.
We are to find the scale factor that is used for the dilation.
We know that
the scale factor of dilation is defined as
[tex]S=\dfrac{\textup{the length of a side of the dilated figure}}{\textup{the length of the corresponding side of the original figure}}.[/tex]
From the graph, we see that
in rectangle ABCD, the length the side AB is 2 units
and
the length of the corresponding side A'B' in the dilated rectangle A'B'C'D' is 6 units.
Therefore, the scale factor of dilation is given by
[tex]S=\dfrac{A'B'}{AB}=\dfrac{6}{2}=3.[/tex]
Thus, the required scale factor that is used for the dilation is 3.
the proportion of the perimeter of two similar polygons is blank the proportion of any pair of corresponding side lengths
A. greater than
B. equal to
C. less than
D. variable to
How to Graph y=4/5x-7
To graph the equation y = 4/5x - 7, plot the y-intercept at -7 and use the slope to find a second point before drawing a line through the two points.
Explanation:To graph the equation y = 4/5x - 7, follow these steps:
Start by plotting the y-intercept at -7 on the y-axis.Use the slope 4/5 to find a second point by moving up 4 units and to the right 5 units. Plot this point.Draw a straight line through these two points to represent the graph of y = 4/5x - 7.If the area of a square is 49 square inches, how long must each side be?
A pair of shoes costs $25 to make. This means that you need to charge a price of at least ___ just to cover your cost.
Answer: $25
Step-by-step explanation: you are not trying to make a profit. You are just trying to cover your cost and they cost $25 to make.
Write the base of −(−6)^5.
In Mrs. Johnson's class there are 28 student desks each desk measures 26.17 inches long if you were to line up all the desks end to end how long would all the desk be?
How many numbers are divisible by 100 between 1 and 6296?
What Is The Perimeter Of The triangle ? A(1,2) B(4,6) C(4,2)
solve the inequality
6n-3 > -18
a. n > -2.5
b. n > -3.5
c. n < -2.5
d. n > 2
Which of the following points is a solution of the inequality y < -|x|?
a. (1,-2)
b. (1,-1)
c. (1,0)
None of the given points is the solution to the inequality y < -|x|.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given inequality,
y < -|x|
As per the given below, the dotted line is not included in the region thus, point (1,-1) is not included.
Hence "None of the given points is the solution to the inequality y < -|x|".
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The probability that an event will occur is 100%. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer: Certain
Step-by-step explanation:
A probability is from 0 - 1, if not 0 or 1 it is a fraction, percentage, or decimal. 100% also equal to 1 is the highest amount you can get, therefore the answer is certain.
The diameter of a small gear is 16 cm this is 2.5 more than 1/4 of the diameter of a larger gear ehat is the diameter of the larger gear
factor by grouping: 12x^3-20x+3x-5