Answer:
Side 3 = a - 2
Step-by-step explanation:
Perimeter of a ∆ = sum of all the sides of a triangle
Perimeter of the given ∆ = 6a + 3 units
Side 1 = 2(a + 3)
Side 2 = 3a - 1
Side 3 = ?
Therefore:
Side 3 = Perimeter - sum of side 1 and 2
Thus:
Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]
Side 3 = 6a + 3 - [2a + 6 + 3a - 1]
Side 3 = 6a + 3 - [5a + 5]
Side 3 = 6a + 3 - 5a - 5
Side 3 = a - 2
Step-by-step explanation:
how can i write this in a calculator?
Answer:
2.13
Step-by-step explanation:
cos 62⁰=10/x=0.47
x=10/0.47≈2.13
GUYS PLEASE HELP ME I NEED TO FINISH THIS
Emily bought 28 flowers and divided them equally into 4 bouquets. How many flowers are in each bouquet?
I need help please!!!
Answer:
Step-by-step explanation:
Pls help i will give brainliest
Answer:
i think 31
Step-by-step explanation:
NEED HELP!! WILL GIVE BRAINLIEST!! PLEASE COMPLETE BOTH!
Answer:
[tex]10 \frac{5}{6}\\\\5 \frac{5}{6}[/tex]
Step-by-step explanation:
[tex]5 \times 2 \frac{1}{6} \\ \\ = 5 \times \frac{13}{6} \\ \\ = \frac{65}{6} \\ \\ = 10 \frac{5}{6} \\ \\ \\ 3 \frac{1}{2} \times 1 \frac{2}{3} \\ \\ = \frac{7}{2} \times \frac{5}{3} \\ \\ = \frac{35}{6} \\ \\ = 5 \frac{5}{6} [/tex]
Consider the first radical :
[tex]{:\implies \quad \sf 5\times 2\dfrac16}[/tex]
Using the properties of mixed fraction, writing the mixed fraction as an improper fraction, we will be having
[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{6\times 2+1}{6}\bigg)}[/tex]
[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{12+1}{6}\bigg)}[/tex]
[tex]{:\implies \quad \sf 5\times \dfrac{13}{6}}[/tex]
[tex]{:\implies \quad \sf \dfrac{65}{6}}[/tex]
[tex]{:\implies \quad \boxed{\bf{10\dfrac56}}}[/tex]
Hence, Option D) is correct
Now, coming to the 2nd question :
[tex]{:\implies \quad \sf 3\dfrac{1}{2}\times 1\dfrac{2}{3}}[/tex]
[tex]{:\implies \quad \sf \bigg(\dfrac{3\times 2+1}{2}\bigg)\times \bigg(\dfrac{3\times 1+2}{3}\bigg)}[/tex]
[tex]{:\implies \quad \sf \bigg(\dfrac{6+1}{2}\bigg)\times \bigg(\dfrac{3+2}{3}\bigg)}[/tex]
[tex]{:\implies \quad \sf \dfrac{7}{2}\times \dfrac{5}{3}}[/tex]
[tex]{:\implies \quad \sf \dfrac{35}{6}}[/tex]
Now, Rewriting this improper fraction as mixed fraction, we will be having :
[tex]{:\implies \quad \boxed{\bf{5\dfrac56}}}[/tex]
Hence, Option C) is correct
Um chile anyways so...
Answer:
maybe 58 or 59
Step-by-step explanation: bad at the so sorry.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
its A
Step-by-step explanation:
8-3=5 and 9/10-4/10=5/10=1/2
Answer:
A. 5 1/2
Step-by-step explanation:
[tex]8\frac{9}{10}-3\frac{4}{10}\\\text{Convert the mixed numbers into improper fractions.}\\(\frac{80}{10}+\frac{9}{10})-(\frac{30}{10}+\frac{4}{10})\\\text{Combine the fractions.}\\\frac{89}{10}-\frac{34}{10}\\\text{Since the denominators are the same, simply subtract the numerators.}\\\frac{89-34}{10}\\\frac{55}{10}\\\text{Split the fraction into two so one part becomes a whole number.}\\\frac{50}{10}+\frac{5}{10}\\\text{Evaluate 50 over 10.}\\5+\frac{5}{10}\\\text{Simplify the fraction 5/10.}\\[/tex]
[tex]5+\frac{5/5}{10/5}\\5+\frac{1}{2}\\\text{Combine the mixed number.}\\5\frac{1}{2}[/tex]
For problem 8, find the area of the shaded region. The polygon is a regular polygon. please show work.
Answer:
34.86 unit²
Step-by-step explanation:
[tex]A_{triangle}[/tex] = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex] , where s = [tex]\frac{P}{2}[/tex] ; P = a + b + c
[tex]A_{hexagon}[/tex] = 6 × [tex]A_{triangle}[/tex]
[tex]A_{circle}[/tex] = [tex]\pi r^2[/tex]
[tex]\pi[/tex] ≈ [tex]\frac{22}{7}[/tex]
~~~~~~~~~~~~~~~~~~~
Can someone help me with this problem? It’s rlly hard
Answer:
4(5+8)
Step-by-step explanation:
The GCF of 20 and 32 is 4. Then you divide 20 and 34 by 4.
HELP ME PLEASE
My last question
Answer: 32c-1 is one of them
Step-by-step explanation:
The vertices of a right triangle are p(-3,4), q(-3,-4) and r (7,-4). Explain algebratically whether or not (2,0) is on the side of the triangle.
Algebraically, it was possible to show that the point (2,0) is on the side (PR) of the given triangle.
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem ([tex](hypotenuse)^2=(side_1)^2+(side_2)^2[/tex]), it is possible finding angles or sides.
The question gives the points for a right triangle, you can draw the triangle, see the attached image. From the figure, it is possible to see the lengths for the sides PQ=8 and QR=10.
Linear EquationA linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
a= the slope. If
a> 0 , the function is increasing; a< 0 , the function is decreasing;b=the constant term that represents the y-intercept.
The slope for the line PR can be calculated from the ratio between the side PQ and QR.
[tex]a=\frac{PQ}{QR}=\frac{4-(-4)}{(-3-7)}=\frac{8}{-10} =-0.8[/tex]
From the attached figure, it is possible to see that the y-intercept is (2,0). Therefore, the given point is on the side PR, but the question asks to show this algebraically.
From the Standard form (ax+b), the equation for the line PR will be: y=- 0.8x+b. After that, you should replace the coordinates of the given point P (-3,4) in the equation line: y=-0.8x+b for finding b.
4=-0.8*(-3)+b
4=2.4+b
b=4-2.4= 1.6
Then, the equation line y=-0.8x+1.6.
Now you should replace the x-coordinate for the point (2,0) in the equation y=-0.8x+1.6.
y=-0.8*2+1.6
y=-1.6+1.6
y=0
The calculated y-coordinate is the same the y-coordinate for the point (2,0), thus the point (2,0) is on the side of the triangle.
Read more about the linear equation here:
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What is the distance, in units, between point D and point E?
M. V5 units
P. 3 units
R. V13 units
S. 5 units
OM
OP
OR
s
The given circle has its center at (−3,3) and has a radius of 5 units. Then, the shortest distance D between the point and the circle is given by.
What is the product of the polynomials below?
(3x2 - 2x - 3)(5x2 + 4x + 5)
A. 15X4+2x3 - 8x -22-15
B. 15X442x 8X2 - 2x + 2
C. 15x4 + 2x3 - 8x2 - 2x -15
D. 15X4+2x8x422x42
The product of the polynomials is [tex]15x^4 - 8x^3 - 6x^2 - 22x - 15.[/tex]
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
To find the product of the polynomials (3x² - 2x - 3) (5x² + 4x + 5), we can use the distributive property of multiplication to multiply each term in the first polynomial by each term in the second polynomial, and then combine like terms.
We can start by multiplying the first term in the first polynomial, 3x^2, by each term in the second polynomial:
3x² (5x² + 4x + 5)
= [tex]15x^4 + 12x^3 + 15x^2[/tex]
Next, we multiply the second term in the first polynomial, -2x, by each term in the second polynomial:
-2x(5x² + 4x + 5) = -10x³ - 8x² - 10x
Finally, we multiply the third term in the first polynomial, -3, by each term in the second polynomial:
-3(5x² + 4x + 5) = -15x² - 12x - 15
Putting these three results together, we have:
(3x² - 2x - 3) (5x² + 4x + 5)
= [tex]15x^4 + 2x^3 - 3x^2 + 12x^2 - 10x^3 - 10x - 15x^2 - 12x - 15[/tex]
Simplifying and collecting like terms, we get:
(3x² - 2x - 3)(5x² + 4x + 5)
[tex]15x^4 - 8x^3 - 6x^2 - 22x - 15[/tex]
Therefore,
The product of the polynomials is [tex]15x^4 - 8x^3 - 6x^2 - 22x - 15.[/tex]
Learn more about polynomials here:
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Part E
Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).
Answer:
What type of question is this
Answer:
The area of a rectangle is given by A = l × w, where l is the length and w is the width.
The length (l) and width (w) of the small rectangle are 14 feet and 6 feet, respectively, so the area of the small rectangle (As) is:
AS = 14 ft. × 6 ft.
= 84 sq. ft.
The length (l) and width (w) of the large rectangle are 20 feet and 7 feet, respectively, so the area of the large rectangle (Al) is:
Al = 20 ft. × 7 ft.
= 140 sq. ft.
The area of a triangle is given by , where b is the base and h is the height of the triangle.
The base and height of the triangle both measure 6 feet, so the area of the triangle (At) is:
ft. ft.
sq. ft.
sq. ft.
Step-by-step explanation:
Using pi as 3.14. what is the circumference of a circle with a radius of 3mm.
Answer:
18.84
Step-by-step explanation:
Circumference = 2 * PI * R
2 * 3.14 * 3 = 18.84
Which graph represents the solution of the system
[x2 + y2 = 4
[x-y=1
Answer:
its b
Step-by-step explanation:
just took the test
Answer:
Its C
Step-by-step explanation:
Have a good day!
Which equation is the inverse of 5 y 4 = (x 3) squared one-half? y = one-fifth x squared six-fifths x eleven-tenths y = 3 plus-or-minus startroot 5 x seven-halves endroot negative 5 y minus 4 = negative (x 3) squared minus one-half y = negative 3 plus-or-minus startroot 5 x seven-halves endroot
The inverse function of the function 5y + 4 = (x + 3)² + 0.5 is shown below. Then the correct option is D.
[tex]\rm y= \pm \sqrt{5x + \dfrac{7}{2}} - 3[/tex]
What is the inverse of a function?Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
such that:
[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]
(and vice versa).
It simply means, the inverse of 'f' is a reverse operator, that takes back the effect of 'f'
The equation is given below.
[tex]\rm 5y + 4 = (x+3)^2 + \dfrac{1}{2}[/tex]
Then y will be
[tex]\rm 5y = (x+3)^2 + \dfrac{1}{2} - 4\\\\\rm y \ \ = \dfrac{(x+3)^2}{5} - \dfrac{7}{10}[/tex]
The replace y by x and x by y, then we have
[tex]\begin{aligned} x &= \dfrac{2(y+3)^2}{10} - \dfrac{7}{10}\\\\\dfrac{10x + 7}{2} &= (y + 3)^2 \\\\\sqrt{5x + \dfrac{7}{2}} &= y + 3\\\\y &= \pm \sqrt{5x + \dfrac{7}{2}} - 3 \end{aligned}[/tex]
More about the inverse function link is given below.
https://brainly.com/question/2541698
Answer: D
Step-by-step explanation:
The 2022 Russian Invasion of Ukraine began due to the cause of the collapse of the Soviet Union, which was sped along by the independence of the baltic states in 1990. When Ukraine left the USSR in 1991 and gave it's nuclear weapons to Russia in 2006, it began clear that Ukraine needed to be returned back into the hands of Moscow, before becoming another frontline for the NATO Army to invade the Russian Federation from the west, with more support from Japan in the east. Oh and I did the Edge test in 2022 so thats how I know it's D.
Angle K in △MKL is a right angle.
By using Pythagoras theorem.
h²=p²+b²ML²=15²+8²ML²=225+64ML=√289Therefore ML= 17...
Step-by-step explanation:
Hope it helps....Mark me brilliant
solve this problem correctly, and you will be my bff for life
The graph shown is the second derivative
⇒ first derivative equals the area between
- the second derivative function from 0 to 2
- the axis
Thus the first derivative f(2) equals [tex]8 + c[/tex]
c: represents the initial positionHowever there is an inital position for the first derivative ⇒ f(0) = 2.5
Therefore we must add the initial position to the first derivative found
f(2) = 8 + 2.5 = 10.5
Hope that helps!
Simplify the given polynomial expressions as much as possible
(12a2 + 6a - 8) - (-22a2 + 12 - 15a)
Answer:
34a^2 + 21a - 20
Step-by-step explanation:
(12a^2 + 6a -8) - (-22a + 12 - 15a)
12a^2 + 6a - 8 + 22a + 12 - 15a
34^2 + 6a - 8 - 12 + 15a
34^2 + 21a - 20
Dumpster #1 contains 45 fewer molded vegetables than dumpster #2. Dumpster #2 contains 80 fewer molded vegetables than dumpster #3. If there are 236 molded vegetables in all the dumpsters combined, how many vegetables are in dumpster #1?
Answer:
22 vegetables
Step-by-step explanation:
Set the #number of molded vegatables in dumpster 1 as X
The number of molded vegetables in 2 is x + 45 and the number of molded vegies in 3 is x + 45 + 80
x + x + 45 + x + 45 + 80 = 236 (combine similar terms)
Thats 3x = 66
Which equas 22
The graph shows the population of a city n months after the establishment of a new automobile plant in the city.
Answer: for sure the answer is increased rapidly
Step-by-step explanation:
The population of the city increased rapidly for the first four months and then slowly approached 7000 people.
What is Graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
WE have given the graph shows the population of a city n months after the establishment of a new automobile plant in the city.
We can see that at 4000 people, the graph increases and then become constant at the rate of 7000 people.
So we can conclude that the population of the city increases rapidly for the first four months and then slowly approached 7000 people.
Learn more about finding the graphed function here:
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Compare.
1 and a half hours
100 minutes
Answer:
1 and a half hours < 100 mins
Step-by-step explanation:
1 and a half hours is equal to :
1 hour = 60 mins
half hour = 30 mins
60 + 30 = 90 mins
90 min is less than 100 mins
Therefore / ∴ :
1 and a half hours < 100 mins
1000 is divided by 100 and anwers is 10 but how can explain someone easy way
Let h be a function where y = h(z)
help me out please look at photo
Answer:
seek god
Step-by-step explanation:
dang maybe the 2nd one
how many solutions do the following systems have
{0.5x-3/4y=7
:5.6-2/5x=-0.6y
Answer:
Step-by-step explanation:
I think the answer is 0-1, but i will have to see the answers to determine.
Hope it helps!
Solve the right triangle. Round decimal answers to the nearest tenth.
MK= 8
40°
Find the Circumference.
Answer:
1.
r = 12 m.
d = 24 m.
circumference: 75.36 m² or 24π m²
2.
r = 10 cm.
d = 20 cm.
circumference: 62.8 cm² or 20π cm²
3.
r = 4 dm.
d = 24 dm.
circumference: 25.12 dm² or 8π dm²
Step-by-step explanation:
Circumference of a circle: 2πrπ (pi) = 3.14r (radius) = d/2d (diamater) = 2rSubstitute the the values of the table into the formula:
1.
r = 12 m.
d = 24 m.
circumference: 75.36 m² or 24π m²
2πr
2 * 3.14 * 12
3.14 * 24
75.36 m² or 24π m² <== circumference
12 * 2 = 24 m <== diameter
2.
r = 10 cm.
d = 20 cm.
circumference: 62.8 cm² or 20π cm²
r = 20/2 = 10 cm <== radius
2πr
2 * 3.14 * 10
3.14 * 20
62.8 cm² or 20π cm² <== circumference
3.
r = 4 dm.
d = 24 dm.
circumference: 25.12 dm² or 8π dm²
2πr
2 * 3.14 * 4
3.14 * 8
25.12 dm² or 8π dm² <== circumference
4 * 2 = 8 dm <== diameter
Hope this helps!