Answer:
The length of the hypotenuse side is (9 + 2·√7) cm
Step-by-step explanation:
The given parameters of the triangle are;
The type f triangle = Right triangle
The length of the sides 2 cm and 7 cm shorter than the hypotenuse
Let 'h' represent the length of the hypotenuse side of the triangle, in centimeters we have;
The length of one side of the right triangle = (h - 2) cm
The length of the other side of the right triangle = (h - 7) cm
By Pythagoras's theorem, we have;
h² = (h - 2)² + (h - 7)²
Using search function on the internet, we have;
h² = (h - 2)² + (h - 7)² = 2·h² - 18·h + 53
∴ h² = 2·h² - 18·h + 53
∴ 2·h² - 18·h + 53 = h²
h² - 18·h + 53 = 0
53 is a prime number, therefore, by the quadratic formula, we have;
h = (18 ± √((-18)² - 4×1×53))/(2 × 1)
h = 9 + 2·√7 cm ≈ 14.29 cm or h = 9 - 2·√7 ≈ 3.71
However, given that one of the side is 7 cm shorter than the hypotenuse, for all the sides to remain positive, we have h = 9 + 2·√7 cm ≈ 14.29 cm , because for h ≈ 3.71 cm, we have;
The length of the other side = (h - 7) cm ≈ (3.71 - 7) cm ≈ -3.29 cm which is not possible for a real triangle
Therefore, the length of the hypotenuse side, h = 9 + 2·√7 cm ≈ 14.29 cm.
Find the area of the figure and type your result in the empty box. 4 cm 4 cm
You have deposited SEK 10,000 in an account that gives 2% interest every year. How much have you received in interest after two years?
Answer:
404
Step-by-step explanation:
2% of 10000 = 200 in the first year, setting your account to 10200
2% of 10200 = 204 in the second year, setting your account to 10404
In the total of 2 years, you received 404 extra
Answer:
Deposite amount (P) = 10000
Interest ( R) = 2%
Years (T) = 2
Formula
S.I =PRT÷100
S.I =10000×2×2÷100
S.I =40000÷100
S.I =400
You have received interest after 2 years =400
Step-by-step explanation:
if 4x-y/2x+y=5/3, then x/y=?
Answer:
[tex]\frac{x}{y}[/tex] = 4
Step-by-step explanation:
Expressing in fractional form, that is
[tex]\frac{4x-y}{2x+y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
3(4x - y) = 5(2x + y) ← distribute both sides
12x - 3y = 10x + 5y ( subtract 10x from both sides )
2x - 3y = 5y ( add 3y to both sides )
2x = 8y ( divide both sides by 2 )
x = 4y ( divide both sides by y )
[tex]\frac{x}{y}[/tex] = 4
Answer:
[tex] \boxed{ \frac{x}{y} = 4}[/tex]
Step-by-step explanation:
[tex]if \: \frac{4x-y}{2x+y}=\frac{5}{3}, \: then \: \frac{x}{y} = : \\ 3(4x - y) = 5(2x + y) \\ 12x - 3y = 10x + 5y \\ 2x = 8y \\ \frac{2x}{y} = 8 \\ \frac{x}{y} = 4[/tex]
Help me please help please
Answer:
5
Step-by-step explanation:
50 by divded 5 is 10 90 divided by 5 is 18 and 110 divded by 5 is 22 hope this helps!
What’s the area of the triangle & parallelogram
Answer:
116 cm squared
Step-by-step explanation:
The area of the triangle is 28 cm squared.
The area of the parallelogram is 88 cm squared.
The total area of the composite figure would be 116 cm squared.
Answer:
triangle:28
parallelogram:88
total area:116
Step-by-step explanation:
8×7=56
triangle->56÷2
=
[tex] {28}^{2} [/tex]
parallelogram->11cm×8cm
=
[tex] {88}^{2} [/tex]
total area->28cm²+88cm²=116cm²
One night, it is 24LaTeX: ^\circ
∘
C warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?
PLEASE ANSWER QUICK!!!!!!!!!
Answer:
[tex]T^\circ = -12^\circ[/tex]
Step-by-step explanation:
Given
Represent the temperature in Tucson with T and that in Minneapolis with M.
From the first statement, we have:
[tex]T^\circ = M^\circ - 24^\circ[/tex]
From the second, we have:
[tex]T^\circ = -M^\circ[/tex] or [tex]M^\circ = -T^\circ[/tex] --- i.e. both are opposite numbers
Required
Find T
To calculate T, substitute -T for M in [tex]T^\circ = M^\circ - 24^\circ[/tex]
This gives:
[tex]T^\circ = -T^\circ - 24^\circ[/tex]
Collect Like Terms
[tex]T^\circ +T^\circ =- 24^\circ[/tex]
[tex]2T^\circ =- 24^\circ[/tex]
Make T the subject
[tex]T^\circ =- 24^\circ/2[/tex]
[tex]T^\circ = -12^\circ[/tex]
Hence, the temperature in Tucson is [tex]-12^\circ[/tex]
13.089 ÷ 1000 tell me the answers
Answer:
the answer is below
Step-by-step explanation:
0.013089
Answer: 0.013089
Step-by-step explanation:
Huixian needs to pack 171 pens 63 pencils and 27 erasers find the number of each item in a gift bag
Answer:
19 pens, 7 pencils, 3 erasers
Step-by-step explanation:
Huxian needs to pack 171 pens
63 pencils
27 erasers
Hence the items can be divided in 9 bags
171/9
= 19
63/9
= 7
27/9
= 3
They can be packed in each bags as follows
19 pens
7 pencils
3 erasers
Write an equation from the line
Answer:
y=-2/3x+-2
Step-by-step explanation:
y=MX+b
b=-2
m=-2/3
Someone help me ASAP!!!! I need this ASAP!!!!
Which is not a reactant needed for producing food in a green plant?
A. Carbon Dioxide
B. Oxygen
C. Water
Answer:
B. Oxygen
Hope you got your answer! ☺️
The reactant not needed for producing food in a green plant is
Oxygen.
Option B is the correct answer.
What are reactants?Reactants are the elements in a process of production that helps in the process of production.
We have,
The process of producing food in a green plant are:
Plants take carbon dioxide, water, and sunlight from their surroundings to make their own food.
This process is called photosynthesis.
Oxygen is the waste product released during this process.
Thus,
Oxygen is not a reactant needed for producing food in a green plant.
Learn more about reactants in plants here:
https://brainly.com/question/16419464
#SPJ6
pls anwer number 9 pwees anwer pwees
la respuesta es 56
por que es : 6 personas por 5$ para la entrada lo cual es 30 , y por la comida es 6 personas por 6$ lo cual es 36 y el cupon se le resta 10 y eso da a 30$ + 36$-10 y eso da 56
Answer:
To translate the other guy
Step-by-step explanation:
the answer is 56
Because it is: 6 people for $ 5 for the entrance which is 30, and for the food it is 6 people for $ 6 which is 36 and the coupon is subtracted 10 and that gives $ 30 + $ 36 -10 and that makes 56
In this polygon, which angle is an exterior angle?
The angle in the polygon that is an exterior angle is: angle A.
What is an Exterior Angle of a Polygon?An exterior angle of a polygon is an angle that is formed outside the polygon at the point where a side of the polygon extends. Sum of all exterior angles of any polygon equals 360 degrees.
Angle A in the polygon given is formed at the point where a side of the polygon extends out. Therefore, the angle that is an exterior angle is: angle A.
Learn more about exterior angle on:
https://brainly.com/question/2546141
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A bicycle store costs $2600 per month to operate. The store pays an average of $55 per bike. The average selling price of each bicycle is $95. How many bicycles
must the store sell each month to break even?
Answer:
58
Step-by-step explanation:
95 - 55 = 45
2600 / 45 = 57.77778.....
Because you can't sell 0.777778 of a bike you instead sell 58
Write the equation for the line in the form of y = mx + b, that has a slope of 1/2 and crosses the y-axis at the point (0,-1).
Answer:
y=1/2x-1
Step-by-step explanation:
I need help plz plz :(
Answer:
y = 1/2x + 1
Step-by-step explanation:
Answer:
y=1/2x+1
Step-by-step explanation:
y=1/2x+b
2=(1/2)(2)+b
2=1+b
1=b
y=1/2x+1
A shoe store marks up its merchandise by 38%. What was the selling price of a pair of shoes whose wholesale price is $24.50?
Answer:
SP = $33.81
Step-by-step explanation:
Given that,
The wholesale price of a shoe = $24.50
A shoe store marks up its merchandise by 38%.
We need to find the selling price of a pair of shoes. It can be given by :
SP = wholesale price + 38% of wholesale price
[tex]SP=24.5+38\%\times 24.5\\\\=24.5+\dfrac{38}{100}\times 24.5\\\\=\$33.81[/tex]
So, the selling price of a pair of shoes is $33.81.
what mistake was made and what you suggestion to give me to avoid the mistake again
marking brain list
next question is worth 100 points don’t use this anymore just need help on these
Answer:
The mistake made is the line of Best Fit is not drawn through any points on the graph. A way to avoid the mistake is to think "Okay, where are most of the points located?" Then find that area, and draw a line through the points that would connect to form a straight line.
Hope this helps!
Please help I will give 50 points
9 to 14
HELLLLLPPPPPP
Answer:
Didi sweet Didi mark me brain list please
A room has a maximum capacity of 396 people. How many people are allowed in the room at anytime?
What is the answer for this
1/2x(4/3-1/6)+3/4??
Alyssa opens a savings account with $6. She saves $5 each week. The table Represents her account balance. Decide whether the table represents a linear function or a non linear function.
need help on question 13!! urgent!!
Answer:
∠MNQ = 31
Step-by-step explanation:
Set ∠MNQ and ∠NQP equal to each other.
∠MNQ = ∠NQP
5c + 6 = 7c - 4
10 = 2c
c = 5
Then substitute back into ∠MNQ.
∠MNQ = 5c + 6
∠MNQ = 5(5) + 6
∠MNQ = 25 + 6
∠MNQ = 31
Which number represents the mode?
8,10,12,14,16,18,20
Answer:
none
cz there's no no. that repeats itself
Which pair shows equivalent expressions?
213x+2) - 23x+1
O 243x+2) = 5x+4
o 213x+4)=x+2
0 23x+4) = 2£x+8
2.
Given:
The pair of expressions in the options.
To find:
The pair that shows equivalent expressions.
Solution:
We have,
[tex]2\left(\dfrac{2}{5}x+2\right)[/tex]
By using distributive property, we get
[tex]2\left(\dfrac{2}{5}x+2\right)=2\left(\dfrac{2}{5}x\right)+2(2)[/tex]
[tex]2\left(\dfrac{2}{5}x+2\right)=\dfrac{4}{5}x+4[/tex]
So, option A is incorrect and option B is correct.
We have,
[tex]2\left(\dfrac{2}{5}x+4\right)[/tex]
By using distributive property, we get
[tex]2\left(\dfrac{2}{5}x+4\right)=2\left(\dfrac{2}{5}x\right)+2(4)[/tex]
[tex]2\left(\dfrac{2}{5}x+4\right)=\dfrac{4}{5}x+8[/tex]
So, options C and D both are incorrect.
Therefore, the correct option is B.
The correct pair of equivalents expressions is B.
Multiplication of expressions
To solve the question, one must have knowledge about the multiplication of expressions.
When you have an expression being multiplied by a value, you multiply all the terms of the expression by that value, so that:
[tex]a (x + y) = ax + ay[/tex]
Thus, performing this multiplication for all alternatives we have:
a) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4[/tex]
b) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4[/tex]
c) [tex]2 (\frac{2}{5}x + 4) = \frac{4}{5}x + 8[/tex]
d) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 8[/tex]
So, the only expression that correctly corresponds to the answer is that of alternative B.
Learn more about expressions in: brainly.com/question/439355
I think of a number. I multiply it by 3 and then subtract 7. The answer is 17.
What was the number I was thinking of?
Answer:
8
Step-by-step explanation:
you solve this by reversing the excercise.
17 + 7 = 24
24/3 = 8
Answer:
8
Step-by-step explanation:
just reverse everything like, 17 +7 then 24/ 3=8
3x/8=15......will give brainliest
Answer: x = 40
Step-by-step explanation:
3x ÷ 8 = 15
Multiply 8 in both sides
3x = 120
Divide both sides by 3
x = 40
How many packs of batteries can you buy with $39.78 if one pack costs $6.63?
Answer: you can buy 6 of them because 39.78 divided by 6.63 equals 6.
Step-by-step explanation:
Answer:
6 packs of batteries
hope it helps
Graph quadrilateral abcd whose vertex matrix is shown below. Then graph the dilation of quadrilateral abcd with a scale factor of 3 on the same coordinated grid. Quadrilateral abcd with vertex matrix -1 5 5 -4
2 5 3 -1
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of an object.
Given the vertex matrix of quadrilateral ABCD as:
[tex]\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right][/tex]
Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).
Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.
Hence, the vertex matrix of quadrilateral A'B'C'D' is:
[tex]3\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]=\left[\begin{array}{cccc}-3&15&15&-20\\6&15&9&-3\end{array}\right][/tex]
Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).
The correct option is figure A
What formula do i use when it tells me to find the area with a given circumference? If you know please give an example as well, thank you.
Answer:
Step-by-step explanation:
A = C^2 / 4 x pi
so if the circumfernce was 10 you would square it to make it 100 and then you would do 4 x pi to get 12.57 ( rounded).
you would then just divide 100 by 12.57 = 7.96 ( rounded)
hope it helped