Answer:
m = 8
n = 9
Step-by-step explanation:
Remark
By similar triangles
(m - 4) /8 = 8 / 2m Cross multiply
2m(m - 4) = 64 Expand the left
2m^2 - 8m = 64 Divide through by 2
m^2 - 4m = 32 Subtract 32 from both sides.
m^2 - 4m - 32 = 0 Factor
(m - 8)(m + 4) = 0
m + 4 has no meaning in geometry. - numbers cannot be distances.
m - 8 = 0
m = 8
===================
By the same kind of similar triangles used in problem A we get
7 / x = x / 9
x^2 = 63
Just leave this as it is. We'll solve this by the Pythagorean Theorem.
x^2 + 9^2 = (n + 3)^2
63 + 81 = (n + 3)^2
144 = (n + 3)^2 Take the square root of both sides
12 = n + 3 Subtract 3 from both sides.
9 = n
-11 2/3 x (-4 1/5) HELPPPP!!!
Answer:
49
Step-by-step explanation:
(−11 2/3)(−4 1/5)
= (-35/3) (-21/5)
= 49
Hope I helped!!
which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?
A. -39/5x - 11/2
B. 67/10x + 9
C. 3/10x + 5/2
D. 15 + 76/10x
Answer:
B. [tex]\frac{67}{10} x + 9[/tex]
Step-by-step explanation:
Simplify the expression. Remember to go by the order of operations, or PEMDAS.
1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.
[tex]3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)[/tex]
[tex]\frac{21}{5}x + 12 - \frac{6}{2} + \frac{10}{4} x[/tex]
[tex]\frac{21}{5} x + 12 - 3 + \frac{10}{4} x[/tex]
2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.
[tex]\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9[/tex]
Thus, the answer is [tex]\frac{67}{10} x + 9[/tex].
Answer:
B. 67/10x + 9
Step-by-step explanation:
The sail on a souvenir boat is similar in shape to the sail on a sailboat. The sail on the sailboat is in the shape of a right triangle with a base of 9 feet and height of 24 feet. The height of the souvenir's sail is 3 inches. What is the base of the souvenir's sail
Answer:
1 1/8 inches.
Step-by-step explanation:
As the sails are similar, corresponding sides are in the same ratio, so we have the equation
:24/3 = 9/b where b = base of the souvenir boat.
Cross multiply:
24b = 9*3
b = 27/24
= 1 1/8 inches.
Based on the shape of the souvenir and dimensions of boat, the base of the souvenir's sail is 1.125 inches
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
WE need to find the base of the souvenir sail.
Given that sail on the souvenir boat has the same shape as the sail on the sailboat. Which means that; they can be used to find each other's dimensions based on a scale factor.
The height of the sailboat = 24 feet.
The height of the souvenir boat's sail = 3 inches.
The scale is:
= 24 / 3
= 8
Then for every inch on the souvenir boat's sail, the sailboat is 8 feet.
The base of the souvenir boat sail;
= 9 / 8
= 1.125 inches
Hence, Based on the shape of the souvenir and dimensions of boat, the base of the souvenir's sail is 1.125 inches
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. Xander needs to collect at least 120 cans for a food drive to earn community |
service credit. He has already collected 64 items. Write and solve an inequality to
represent the number of cans, C, that Xander must still collect.
Answer:
64 + c = 120
Step-by-step explanation:
120 - 64 = 56 t therefore c = 56
The inequality to represent the number of cans, c, that Xander must still collect is c ≥ 55.
Given the information in the question, the least number of cans that Xander can collet is 120. He can collect more than 120 cans. Thus, the inequality sign to be used is the greater than or equal to sign - ≥.
The number of cans Xander must still collect = 120 - 64 = 55
The inequality solution is c ≥ 55
Help? Please? And make sure the answer is right plz!! :) and have a good day
Answer:
-7
Step-by-step explanation:
The amount of degrees would be the same in both those corner/angle/section are. and have a good day as well!
Charolette is running at a rate of 9km/h. What is Charolette’s speed in m/s?
Answer:
seems like the main concept being tested here is unit conversion.
First, let's look at converting kilometers to meters. In the metric system, the prefix "kilo" means 1000. So,
1 kilometer = 1000 meters.
Then, let's look at converting from hours to seconds. As you may know, there are 60 minutes in an hour, and 60 seconds in a minute. So, in 1 hour there are
1 hour*(60 minutes/hour)*(60 seconds/minute) = 3600 seconds.
So, we can use these unit conversion factors to solve your question. Let's convert the units!
9 km/hr = 9 km/hr * (1000 m/km) * (1 hr/ 3600 sec) = 2.5 m/s
Hope this helps!
Step-by-step explanation:
Answer:
2.5m/s
Step-by-step explanation:
Two consecutive integers do the the square root 45 lies
Answer:
square root 45 lies between 6 and 7
Step-by-step explanation:
I hope it's helpful!
Answer:
6 and 7
Step-by-step explanation:
Consider the perfect squares on either side of 45, that is
36 < 45 < 49 , then
[tex]\sqrt{36}[/tex] < [tex]\sqrt{45}[/tex] < [tex]\sqrt{49}[/tex] , that is
6 < [tex]\sqrt{45}[/tex] < 7
16. Jason purchased a used vehicle that depreciates under a straight-line method. The initial value of the car is $5000, and the salvage value is $500. If the car is expected to have a useful life of another 5 years, what will its value be in 1 year?
Answer
1,500? I think any way.
Step-by-step explanation:
5,000 divided by 5 = 1,000
1,000 + 500 = 1,500
Answer:
1,500
Step-by-step explanation:
and jeez the other kid was just having fun
In 2001, 229 million cartons of apples were produced in the U.S. If 40% of the apples were eaten as fresh fruit, how many apples were used for fruit juice and other things?
Which expression represents "the product of a and b decreased by 9"?
Answer:
ab-9
Step-by-step explanation:
the product of a and b: a*b
decreased by 9: -9
Answer:
The person above be is correct
Step-by-step explanation:
I figured I would let everyone know so they can trust it anyway have a good day☺️
find the measure of this angle in the triangle
PLEASE HELP this is the last question and im having trouble solving it!
I-ready
Answer:
85.....?................
Solve for X. First to answer is marked branliest.
Answer:
Step-by-step explanation:
Solution
Here,
h²=p²+b²
or,15²=x²+7²
or,225=x²+49
or,x²=225-49
or,x²=176
x=13.266
If you found my answer useful then please mark me brainliest.
-12x2 – 16x
Help me with this please
Answer:
-4x(3x+4)
Step-by-step explanation:
You have to undo the problem, I will show you how this problem looks if you solve it (the answer i guess? id.k it is hard to explain any other way)
So first we use distributive property-
-4x *3x=-12x^2
-4x*4=-16x
-12x^2-16x And now we have the problem we started with!
Answer:
its -4x(3x+4)
Step-by-step explanation:
Linda can attend either community college or university the annual cost for each are shown below. in the table what total cost to attend the university for four years
Answer:
I believe it's 19279 if u need the answer to community college too tell me
-12-(-9)÷3 I need an answer
Answer:
-9
Step-by-step explanation:
-12-(-9)/3 = -12+9/3 = -9
Q: Simplify.
1. 3^(n+1) - 3^n / 3^(n-1)
Answer:
3^(n+1) - 3^n / 3^(n-1) = 6
If MNOP is an isosceles trapezoid, MP = 16x - 13, NO = 9x + 8, PN = 5y + 19, and
MO = 12y - 37
What is the measure of segment NP?
Answer:
59
Step-by-step explanation:
The diagonals of an isosceles trapezoid are equal.
MO and NP are diagonals. Therefore MO = NP
12y - 37 = 5y + 19
7y = 56
y = 8
MO = 12(8) - 37 = 96 - 37 = 59
NP = 5(8) + 19 = 40 + 19 = 59
7 units are the measurement of the segment NP.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:
α = 360/n
Since MNOP is an isosceles trapezoid, the non-parallel sides MN and OP have the same length. Therefore, we can set up an equation using the given lengths of the sides:
MP = NO
Substituting the given expressions for these lengths, we get:
16x - 13 = 9x + 8 + 5y + 19
Simplifying and rearranging terms, we get:
7x - 5y = 36 ........(1)
Similarly, we can set up another equation using the given lengths of the diagonals MO and PN:
MO + PN = MP + NO
Substituting the given expressions for these lengths, we get:
12y - 37 + 5y + 19 = 16x - 13 + 9x + 8
Simplifying and rearranging terms, we get:
17y - 16x = 42 ........(2)
Now, we have two equations (1) and (2) with two variables (x and y). Solving this system of equations, we get:
x = 7, y = 9
Substituting these values back into the given expressions for PN and NO, we get:
PN = 5y + 19 = 5(9) + 19 = 64
NO = 9x + 8 = 9(7) + 8 = 71
Therefore, the measure of segment NP is:
NP = NO - PN = 71 - 64 = 7
So, the measure of segment NP is 7 units.
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What's the circumference of a
circle with a diameter of 31 inches?
Use 3.14 for pi.
Answer:
circumference = 97.34
Step-by-step explanation:
circumference = diameter x Pi
31 x 3.14 = 97.34 inches
The circumference of the circle with a diameter of 31 inches is approximately 97.34 inches.
The circumference of a circle can be calculated using the formula C = πd, where C represents the circumference and d represents the diameter of the circle.
Given that the diameter of the circle is 31 inches, we can substitute this value into the formula:
C = 3.14 * 31
C ≈ 97.34 inches
Therefore, the circumference of the circle with a diameter of 31 inches is approximately 97.34 inches.
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5m+2n-7-2m+15 Simplified expression
Help I’ll give Brainliest
What transformations to the linear parent function, f(x) = x, give the function g(x)=1/3x-1Select all that apply.
Answer: B & C
Step-by-step explanation:
In a family expenditure on food and education are in the ratio3:5.If expenditure education is Rs7000, find the expenditure on food.
Answer:
3×7000:5×X
21000:5X
so X= 4200
So expenditure on food will be Rs4200
can someone please help me
Hans opens a circular window that is 3.5 feet across at its widest point. What is the circumference of the window to the nearest whole number? Use 3.14 for π. help pls
Answer: 11
Step-by-step explanation:
i did 3.5 x 3.14 = 10.99 and rounded to the nearest whole number, 11.
The circumference of the circular window to the nearest whole number is 11 feet.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
To find the circumference of the circular window, we need to use the formula:
C = πd
where C is the circumference, π is the constant pi, and d is the diameter of the circle.
Since the window is 3.5 feet across at its widest point, the diameter of the circle is also 3.5 feet.
Plugging in the value of the diameter in the formula, we get:
C = πd
C = 3.14 x 3.5
C = 10.99
Rounding the result to the nearest whole number, we get:
C ≈ 11 feet
Therefore,
The circumference of the circular window to the nearest whole number is 11 feet.
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find the volume of the prism. (Im new to the volumes and I dont have a clear understanding nor someone to help me out)
Answer:
if you know how to do rectangular prism just do that bu divide by 2 that should be the right answer
Step-by-step explanation:
10 times 4 times 9.7 divided by 2
its the first one 194m I THINK so there u go
when the cube root of a positive number “n” is squared, the result is 5, what is the value of “n”?
A) 2.9
B) 3.8
C) 11.2
D) 25.0
E) 42.7
type out explanation for brainliest :)
Answer:
A)2.9 is the value of "n".
Help me please there’s a picture attached
Answer:
2x+11+11+x+3+3x-2=59
6x+23=59
6x=36
x=6
3x-2=18-2=16
Step-by-step explanation:
Answer: PQ=16
Step-by-step explanation:
59-11-11-3+2=36
36/6x=6
3(6)-2=16
...............................
Answer: Graphing is the best in this situation
Step-by-step explanation:
simplify √-48
-4√3
4√-3
4i√3
4√3i
Answer:
√-48=4i√3
Step-by-step explanation:
because negative number never has a real root so 1st and 2nd option r out . i^2= -1 so root and Square cuts out eachother so i should be out of the root hence option 4th is also cut out. so 3 rd is correct.
help me 20 points, please
Please help!!! I’m stuck
Answer:
20/29
Step-by-step explanation:
Since 20inches is the opposite side size to the angle. Opposite = 20.
[tex] \cos( \alpha ) = \frac{adj}{hyp} [/tex]
Note: Hypothenus is the longest side of a right angle triangle which is 29inches.
Thus,
[tex] \cos( \alpha ) = \frac{20}{29} [/tex]