Answer:
<M = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180. 52+ 78+x = 180. Combine like terms. 130 +x = 180.
The value of m for the given combination of two right-angle triangles will be 7√5.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
In the bigger right-angle triangle suppose the missing length is x.
By Pythagora's theorem,
(28 + 7)² = x² + m²
x² = 35² - m² (1)
In the smaller right-angle triangle,
x² = 28² + n² (2)
By comparing equations (1) and (2).
35² - m² = 28² + n²
m² + n² = 35² - 28²
In the smallest right-angle triangle,
m² = n² + 7²
n² = m² - 7²
By substitution,
m² + m² - 7² = 35² - 28²
2m² = 35² - 28² + 7²
m² = 245
m² = 7² x 5
m = 7√5.
Hence "The value of m for the given combination of two right-angle triangles will be 7√5".
For more about triangles,
https://brainly.com/question/2773823
#SPJ2
a
С
b
60°
45°
Find a, b, and c.
Answer:
Step-by-step explanation:
Write the equivalent expression to (5x – 3x?) – (5x – 2) · (10x + 7x) in standard form
Answer:
-35x³ - 39x² + 25x
Step-by-step explanation:
First write out the equation which is (5x - 3x²) - (5x - 2)(10x + 7x²). Then distribute 5x - 3x² to -(50x² + 35x³ - 20x - 14x²). After that, combine the like terms and don't forget to distribute the negative as well, 5x - 3x² - 36x² - 35x³ + 20x. Lastly combine all the like terms to end up with this -35x³ - 39x² + 25x.
Hope this helps :)
A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a party, how many boxes of crackers should he buy?
Please help me calculate the area of all the grey parts of this shape :)
Answer:
.858 cm^2
Step-by-step explanation:
Area of square - area of circle = grey corner areas
(2 * 2) - ( pi * 1^2 ) =
4 - pi = .858 cm^2
A) Find the area of each triangle.
1)
2 yd
7 yd
Answer:
Area= 7
Explanation: area of triangle is A=bh/2
b=2 h=7
7 x 2 = 14/2 = 7
[tex]4x^{3} + x8x^{2}[/tex]
Evaluate
Answer:
12x^3
Step-by-step explanation:
they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3
just add them and you're set
Question
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
88 m²
Step-by-step explanation:
Formula
Lateral Surface Area (LSA) = 2πrhGiven :
Diameter = 14 m ⇒ Radius = 7 mHeight = 2 mSolving :
LSA = 2πrhLSA = 2 x 22/7 x 7 x 2LSA = 22 x 4LSA = 88 m²Which of the following addition problems yields a sum that is an irrational number? Select TWO that apply. (answers in picture)
Answer:
probably the answer to the following question is B and C I hove this helps because this numbers cannot be fraction only decimal
What is the value of a?
Answer:
what exactly is the equation?
Step-by-step explanation:
Write the equation of a circle whose diameter is 8 and whose center is (-8, -5)?
if the diameter is 8, then its radius is half that or 4.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-8}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-8)]^2~~ + ~~[y-(-5)]^2~~ = ~~4^2\implies (x+8)^2+(y+5)^2=16[/tex]
please help me classify which numbers are integers
Answer:
An integer is a WHOLE number. No fractions and no decimals. so it would be... no, yes, yes, no, yes
Step-by-step explanation:
To clarify because they try to be tricky here. 27/3 is actually equal to 9 when simplified. Same thing with 40/8... when simplified it equals 5. Both are whole numbers and therefore integers.
Answer:
-76 is an integer and 27/3 and 40/8 could also be as well
Step-by-step explanation:
27/3 is and integer because if you simplify it, it equals 9, an integer. Same for 40/8, it equals 5.
Albert has a rectangular print that is 1 foot in length and 8 inches in width. He wants to reduce the dimensions of the print proportionally so that the new print has a width of 3 inches. What should be the length of the new print?
Answer:
2.6 inches
Step-by-step explanation:
As shown in the title if length is x,
x * 1/x = 8/3 * x
8 * 1 = 3x
x = 8/3 in
= 2.6 in
The new length of the rectangular print will be 2.68 feet.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Given a rectangular print with dimensions,
Length = 1 foot = 12 inches
Width = 8 inches.
Area = 12(8) = 96 square inches
Now,
The area of the new print should be the same
So,
96 = Length × 3
Length = 32 inches = 2.67 feet.
Hence "The new length of the rectangular print will be 2.68 feet".
For more about rectangles,
https://brainly.com/question/15019502
#SPJ2
write the multipulcation equation you can also use to find 1/3 of 1/5
Answer:
0.33 × 0.2 = 0.066 or [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{15}[/tex]
The solution is, 1/3 of 1/5 is 0.667.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
we have to find 1/3 of 1/5
now, let,
x be the required number.
so, we get,
1/3 × 1/5 = x
or, x = 1/15
or, x = 0.667
Hence, The solution is, 1/3 of 1/5 is 0.667.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ7
1. Given the following rectangle and circle, at what approximate value of x are the two areas equal?
Answer:
x = 0.86
Step-by-step explanation:
(3x - 1)(x + 6) = 3.14159 × (x + 1)²
3x² + 17x - 6 = 3.14159 × (x² + 2x + 1)
-0.14159x² + 10.7168x - 9.14159 = 0
x² - 75.6875x + 64.5626 = 0
[tex] x = \dfrac{-(-75.6875) \pm \sqrt{(-75.6875)^2 - 4(1)(64.5626)}}{2(1)} [/tex]
x = 74.825 or x = 0.8628
Answer: x = 0.86
It is:
x = 0.86
i took the test and got it right, but we go to the same school lol, I just go to the Arizona version.
What do you think Thomas Edison meant by the word perspiration? How do those words apply to what you've learned about businesses in this lesson?
1. Thomas Edison used "perspiration" to refer to the physical and mental efforts needed to achieve a meaningful purpose in any human endeavor.
2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.
What does Thomas Edison's reference mean?
According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).
Perspiration literarily refers to the sweat that emanates as someone works hard.
Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.
Learn more about Thomas Edison at https://brainly.com/question/26568016
Will give brainliest if correct
Two large numbers of the Fibonacci sequence are F(49) = 7,778,742,049 and
F(50) = 12,586,269,025. If these two numbers are added together, what
number results?
O A. F(54)
O B. F(51)
O C. F(52)
D. F(99)
SUBMIT
F(51)
===========================================================
Explanation:
The very large numbers are likely put there as a distraction. They aren't needed. Adding any two adjacent Fibonacci numbers will lead to the next term in the sequence. This is simply based on how the special number sequence is defined or set up.
This means F(49)+F(50) = F(51) i.e. adding the 49th and 50th terms will generate the 51st term.
In general,
F(n) + F(n+1) = F(n+2)
where n is a positive integer.
WHAT IS -X-5 I AM STUCK ON THIS QUESTIOOOOON
Answer:
Step-by-step explanation:
The ordered pair (3,-2) is a solution to the system of inequalities,
y<x-3
y2-X-2
True
False
If tu = 6 units, what must be true? su ut = rt rt tu = rs rs su = ru tu us = rs
In the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.
What is the length of line segment?Length of a line segment is the distance of both the ends of it.
The length of the line segment TU is 6 units.
[tex]TU=6\rm\; units[/tex]
In the figure attached below, the length of line segment RT is 12 and RS is 24. Thus, the value of RS is double than the value of RT.
[tex]RT=2RS\\RS=\dfrac{RT}{2}[/tex]
RS is the total length of the segment, which is equal to the length of RT and ST.
[tex]RT+ST=24\\12+(SU+UT)=24\\(SU+UT)=24-12\\SU+UT=12[/tex]
12 is the length of RT. Thus,
[tex]SU+UT=RT[/tex]
Hence, in the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.
Learn more about the line segment here;
https://brainly.com/question/2437195
#SPJ1
Solve the following system by graphing. 5x+2y=10 4x−y=−18
Answer:
x = -2, y = 10
Step-by-step explanation:
-3 x 7 -:- 5 x 1/7
please show the steps :)
is the sign that you mean ÷ ?
if so:
-3×7÷5×1/7
= -21÷5×1/7
=-21/5 × 1/7
= (-21×1) / (5×7)
= -21/35
=-3/5
=-0.6
What is the perimeter of this quadrilateral?
(5,5)
(2, 4)
(4, 1)
(6, 1)
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]
[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]
[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]
What is the resulting product of 4 × 8 and description of the product?
Answer:
32
Step-by-step explanation:
The answer is 32 because 8 x 3 is 24 so then just add 8
express the following rational algebraic expression to its simple form.show your solution
4. ײ - 1 / ײ - 2×+1
Answer:
[tex]\dfrac{x+1}{x-1}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{x^2-1}{x^2-2x+1}[/tex]
Factor the numerator and denominator
[tex]\implies \dfrac{(x+1)(x-1)}{(x-1)(x-1)}[/tex]
Factor out the common term [tex](x-1)[/tex]:
[tex]\implies \dfrac{x+1}{x-1}[/tex]
[tex]\rm{blue{ANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWER:}}[/tex]
[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\rm The\ answer\ is \rightarrow \red{\dfrac{x + 1}{x - 1}}[/tex][tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]blue{\boxed{ \red{\rm {CarryOnLearning!}}}}[/tex]
please give me the working for this question and I promise to give you stars and mark you as brainliest thank you.
Answer: 5/9
Step-by-step explanation: 10 6
------ x ----------- = 5
12 9 -----
9
Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation. PLEASE HURRY, I DONT HAVE MUCH TIME, WILL MARK BRAINLIEST.
Answer:
Equations: 40-7=33 and 33÷11=3
Step-by-step explanation:
40-7=33
Since there are 3 sides,(q) then you do 33 divided by 3=11.
Equations: 40-7=33
And
33÷11=3
Find the zeros using the quadratic formula x^2-5x+4=y.
Answer:
(x-4) (x-1)
Step-by-step explanation:
X-4=0
x=4
X-1=0
X=1
a hot air balloon is currently 100 feet above the ground. After 5 minutes, the hit air balloon is 40 feet above the ground. write the equation for the relation
Here is the Answer:
Step-by-step explanation:
if the volume of cubical box is 1728^3 . find the total surface area of the box.
Answer:
864 cm²
Step-by-step explanation: Volume of cube Side^3
Side of Cube= (1728)^1/3 = 12cm Total surface area = 6 x Side^2= 6 x 144 = 864 cm²
Area of polygons please help
Answer:
6+12=18
Step-by-step explanation:
the area of the smaller rectangle+the area of the bigger rectangle=18