In the figure, a∥e , m∥n , and m∠2 = 117°.
What is m∠5 ?
63°
90°
117°
180°
63 is the answer
what the person said
how to find the surface area of the cube
4/9. 11/13. 6/5. 14/21 in simplest form
Please helpppppppppppp
A cylinder has a surface area of 1850 square meters and a radius of 9 meters. Estimate the volume of the cylinder to the nearest whole number.
Is it necessary to use the formulas for special products of binomials to multiply these binomials?
Final answer:
While it's not necessary to use the binomial theorem to multiply binomials, it can greatly simplify the process. This theorem is handy for higher powers and in cases where technology tools are not available.
Explanation:
The formulas for special products, like the binomial theorem, are not always necessary for multiplying binomials, but they can simplify the process significantly, especially for higher powers. When multiplying binomials without these formulas, one would have to apply the distributive property multiple times, which can be tedious and prone to error. The binomial theorem provides a direct way to expand binomials raised to a power in a series expansion: (a + b)n = an + n*an-1*b + ... + bn. Utilizing this formula can speed up calculations and help avoid mistakes.
In understanding series expansions, working with exponents, and creating formulas based on logical sense and unit consistency, students can sometimes simplify problems without needing to memorize formulas. However, for complex problems or when working with large exponents, knowing and applying the binomial theorem can be much more efficient.
Moreover, technologies like calculators and computer software often have functions that apply these theorems or carry out the multiplications of binomials, which can make manual calculations unnecessary, provided you have access to these tools. But understanding the underlying principles is important for a strong mathematical foundation.
Evaluate the expression when a=−15 and b=−5.
b2
------------ =
a + 5
Help
The value of the given mathematical expression b^2 divided by a+5 when a=-15 and b=-5 is -2.5.
Explanation:In the given expression, we're asked to evaluate b2 divided by (a + 5), where a = -15 and b = -5. First we substitute the values of a and b into the expression.
So, b2 becomes (-5)2 = 25 and a + 5 becomes -15 + 5 = -10.
Now, substituting these results back into the original expression, we get 25 divided by -10, which equals -2.5.
Therefore, the value of the given expression when a=-15 and b=-5, is -2.5.
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URGENT! ANSWER IN THE NEXT 5 MIN PLZ! BEING TIMED!!!
A trophy consists of 3 right rectangular prisms. The prisms are turned lengthwise and stacked so that the bottom face of each of the top two prisms is completely resting on the prisms below it. The lengths of the prisms from the base of the trophy to its top are 5 in 3 in and 1 in. The width of each prism are 2 in by 2 in. What is the surface area of the trophy
Surface area is _____ in2
Answer:
ITS 80!!!!
Step-by-step explanation:
Koji is installing a rectangular window in a office building, the window is
8
2
3
feet wide and
5
3
4
feet high. The formula for the area of a rectangle is
A=bh
.What is the area of the window?Enter your answer as a mixed number in simplest form in the box. URGENT WORTH 58 POINTS AND WILL GIVE BRAINLIEST!!
vince begin practicing up on a piano at 5:15 p.m. he stopped playing at 5:35 p.m. how many degrees did the minute hand turn during vince's
practice time explain how you found your answer.
Jessica is saving for college. She makes a $75 deposit each week into her savings account. She also decided to use some of the money from the savings account to buy a new music player for $225. The inequality 75x−225≥975 can be used to find x, the number of weeks it will take Jessica to have at least $975 in the account for college. Which graph shows the solution of this inequality?
There are 36 students in the chess club , 40 students in the drama club , and 24 students in the film club. Which ratio is equivalent to 5:3
Help I’m really stuck and need help fastttttttt!!!!!!!?
Please help!
A square hot tub will be placed in the center of an enclosed area near the pool. Each side of the hot tub measures 6 feet. It will be surrounded by x feet of deck on each side. The enclosed space is also square and has an area of 169 square feet. Find the width o the deck space around the hot tub, x.
Part 1
Write an equation for the area of the enclosed space in the form y=(side length)^2. Hint: Don't forget to add x to each side of the hot tub.
Part 2
Substitute the area of the enclosed space for y in your equation.
Part 3 Solve your equation from part 2 for x.
Part 4
What is the width of the deck around the hot tub.
If 14 over 3 equals x over y to the second power than 14 over x equals
the equation of a circle is x - y + 1 = 0 . if one end of the diameter is ( 3, p) and other end is ( a, 2 ) , find the equation of the circle.
The equation of the circle in standard form is represented by the expression x² + y² = 2.
How to analyze a geometric locus
Geometric loci are point sets that represents a figure. A circle is a case of geometric locus. In this question we must determine the coordinates of the two points contained in the circumference and derive a circle equation in standard form.
Now we proceed to solve the following system of linear equations:
p = 4 (1)
a = 1 (2)
Then, the ends of the diameter are (3, 4) and (1, 2) and the radius of the circle is found by the following Pythagorean expression:
[tex]r = \frac{1}{2}\cdot \sqrt{(1-3)^{2}+(2-4)^{2}}[/tex]
r = √2
Lastly, the equation of the circle in standard form is represented by the expression x² + y² = 2. [tex]\blacksquare[/tex]
RemarkThe statement is incomplete. Complete statement is shown below:
The equation of the diameter of a circle is x - y + 1 = 0. If one end of the diameter is (3, p) and other end is (a, 2). Find the equation of the circle.
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Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
The Geometric Sequence Formula:
[tex]a_n=a_1r^{n-1}[/tex]
We have:
[tex]a_1=-2,\ a_2=8,\ a_3=-32,\ a_4=128,\ ...[/tex]
[tex]d=\dfrac{a_{n+1}}{a_n}\to d=\dfrac{8}{-2}=-4[/tex]
Substitute:
[tex]a_n=-22\cdot(-4)^{n-1}=-22\cdot(-4)^n\cdot(-4)^{-1}=-22\cdot(-4)^n\cdot\left(-\dfrac{1}{4}\right)=5.5(-4)^n[/tex]
Answer:
Step-by-step explanation:
so the answer would be?????
Find the value of x.
A) x = 60
B) x = 59
C) x = 121
D) x = 177
Write each statement as a proportion using colons. 4 is to 20 as 2 is to 10.
What should be added to 3 to make the sum of 0?
a car is travelling at x kilometres per hour find the cars speed, in terms of x in metres per second give your answer in its simplest form
To convert a car's speed from kilometers per hour (x km/h) to meters per second, divide x by 3.6. This is because there are 1,000 meters in a kilometer and 3,600 seconds in an hour, leading to the simple formula: x / 3.6 m/s.
Explanation:To find the car's speed in meters per second (m/s) when it is traveling at x kilometers per hour (km/h), we need to convert km/h to m/s. There are 1,000 meters in a kilometer and 3,600 seconds in an hour. So, to convert from km/h to m/s, we use the conversion factor 1 km = 1,000 m and 1 hour = 3,600 seconds.
The formula to convert x km/h to m/s is: x \(\times\) 1,000 m / 3,600 s. Simplifying this, we get:
x \(\times\) 1,000 / 3,600 = x / 3.6 m/s.
Therefore, if a car is traveling at x kilometers per hour, its speed in meters per second is x / 3.6 m/s in its simplest form.
The Wilkes family sold both of their cars. They sold one car for $7,700 and the other for $9,050. Estimate the difference in the selling price of the two cars by rounding to the nearest thousand and then subtracting.
What is the measure of an angle that turns through 3/4 of a complete circle
The measure of an angle that turns through 3/4 of a complete circle is 270°.
What are arithmetic Operations?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
The angle of the complete circle is 360°.
Then, 3/4 of a complete circle will be,
360 × 3/4 = 270°
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how to solve Questions 1&2?
Can anyone help me on this
Given a right prism where p is the perimeter of the base, h is the height, BA is the area of the bases, and LA is the lateral area, what is the surface area?
Check all that apply.Mulitple answers not just one answer!
A. SA=16-LA
B. SA=BA+LA
C. SA=1/2 16+LA
D. SA=BA+ph
E. SA=p+LA
Answer:
SA= BA+ph
SA= BA+LA
Step-by-step explanation:
Just did this question on APEX.
Describe how to draw the geometric mean in a right triangle
To draw the geometric mean in a right triangle, first draw a perpendicular from the right angle to the hypotenuse, creating two smaller triangles. Then use the properties of similar triangles or the Pythagorean theorem to find the geometric mean, which is the length of the perpendicular you drew.
Explanation:To draw the geometric mean in a right triangle, you can use the following step-by-step method:
Identify the right triangle within which you want to find the geometric mean. Assume this triangle has sides of lengths a and b, with c being the hypotenuse.Drop a perpendicular from the right angle to the hypotenuse, subdividing the original triangle into two smaller right triangles. This line segment will be the geometric mean, which we can label as x.Apply the properties of similar triangles or the Pythagorean theorem. The two smaller triangles will be similar to the original right triangle and to each other.The geometric mean x relates to the segments of the hypotenuse (which can be labeled d and e, where d + e = c), through the relationships x² = ad and x² = be.Since x is the geometric mean between a and b, the equations can also be written as x = √(ad) and x = √(be).Finally, measure the length of the perpendicular line you have drawn with a ruler to get the magnitude of the geometric mean x, or calculate it using the relationships stated.The Pythagorean theorem, a² + b² = c², can also be helpful in finding the lengths of the segments on the hypotenuse if they are not given.
Help please I’m stuck on this problem
How many 1/8s are in 3?
There are 24 number of 1/8s are in 3.
What is Division?A division is a process of splitting a specific amount into equal parts.
We need to find how many 1/8 's are in 3.
To find this we just need to divide three by 1/8.
3/1/8
Three is divided by one by eight.
The whole number is divided by the fraction.
The fractions has numerator and denominator.
When whole number is divide by the fraction the result we get by multiplying the whole number by denominator of the fraction.
3×8/1
24
Hence, there are 24 number of 1/8s are in 3.
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Malik drinks 1/2 liter of water and 1/3 liter of juice. Did Malik drink more water or juice?