Answer: 5.6g - 2h + 9
Explanation:
Flip the sign of each term inside the parenthesis.
The -5.6g becomes +5.6g or simply 5.6gThe +2h becomes -2hThe -9 becomes +9These sign flips occur because of the negative out front the parenthesis. It's the same as having -1 outside, and we distribute the -1 through.
Help anyone can help me do this question 2,I will mark brainlest.
Answer:
see explanation
Step-by-step explanation:
For the triangle to be isosceles it must have 2 equal sides.
Calculate the length of the sides using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = B (3, 5)
AB = [tex]\sqrt{(3-(-1))^2+(5-2)^2}[/tex]
= [tex]\sqrt{(3+1)^2+3^2}[/tex]
= [tex]\sqrt{4^2+9}[/tex]
= [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5
Repeat with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = C (3, - 1)
AC = [tex]\sqrt{(3+1)^2+(-1-2)^2}[/tex]
= [tex]\sqrt{4^2+(-3)^2}[/tex]
= [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5
Consider B (3, 5) and C (3, - 1)
Since both x- coordinates are 3, this is a vertical line and its length is the difference of the y- coordinates, that is
BC = | - 1 - 5 | = | - 6 | = 6
Then
AB = AC = 5 , BC = 6
Since AB = AC = 5 then the triangle is isosceles
A 180-inch pipe is cut into two pieces.one piece is three times the length of the other.find the length of the shorter piece.
The length of the shorter piece is 45 inches.
How to determine the length of the shorter piece.Let's represent the length of the shorter piece as "x" inches.
According to the information given, the length of the longer piece would be three times the length of the shorter piece, which means it's 3x inches.
Since the total length of the pipe is 180 inches, we can set up an equation:
x (shorter piece) + 3x (longer piece) = 180
Now solve for x:
4x = 180
x = 45
Therefore, the length of the shorter piece is 45 inches.
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Solve by using the quadratic formula: (3x + 3)^2 = 25
The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is
(≧▽≦)( ◜‿◝ )♡
this is symbol for no spamming so don't spam
Each term has a common factor of x + y + z, so
a (x + y + z) + b (x + y + z) + c (x + y + z) = (a + b + c) (x + y + z)
PLS HELP DUE TODAY
A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon.
Here we go !!
Since it's a regular pentagon, all it's sides are equal so let's solve for x
[tex] \hookrightarrow \: 3(x - 1) = 5x - 6[/tex]
[tex] \hookrightarrow \: 3x - 3 = 5x - 6[/tex]
[tex] \hookrightarrow \: 3x - 5x = - 6 + 3[/tex]
[tex] \hookrightarrow \: - 2x = - 3[/tex]
[tex] \hookrightarrow \: x = \dfrac{ - 3}{ - 2} [/tex]
[tex] \boxed{\boxed{x = \dfrac{3}{2} }}[/tex]
now let's find the measure of each side, i.e
[tex] \hookrightarrow \: 5x - 6[/tex]
[tex] \hookrightarrow \: (5 \times \dfrac{3}{2}) - 6[/tex]
[tex] \hookrightarrow \: \dfrac{15}{2} - 6[/tex]
[tex] \hookrightarrow \: 7.5 - 6[/tex]
[tex] \mathrm{\hookrightarrow \: 1.5 \: units}[/tex]
perimeter = 5 × side length ( for a regular pentagon )
[tex] \hookrightarrow \: 1.5 \times 5[/tex]
[tex] \boxed{ \boxed{ \: \: \: \: \: \: \: \: 7.5 \: \: units \: \: \: \: \: \: \: }}[/tex]
URGENT!!
1-84. Find the perimeter and area of each figure.
9.85 m
15 m
9 m
Answer:
total = 99m² + 39.4m²
= 148.4m²
area of the shape...
answer choices:
A. 182.3
B. 164.2
C. 288
D. 144
PLSSSS HELP
Answer:
288m^3
Step-by-step explanation:
the volume is base* height
to find the second side, use the Pythagorean theorem : [tex]\sqrt{10^2-8^2} = \sqrt{100-64}= \sqrt{36} = 6[/tex],
now find the area of the triangle: 6*8/2=24
now multiply it by the height and you get the volume: 24*12=288
8^2 x 6{4 + 8^2(10 - 6)}^2
Answer:
25958400
Step-by-step explanation:
[tex] {8}^{2} \times 6(4 + {8}^{2} \times (10 - 6) {)}^{2} [/tex]
[tex] = 64 \times 6(4 + {2}^{6} \times 4 {)}^{2} [/tex]
[tex] = 64 \times 6(4 + {2}^{6} \times {2}^{2} {)}^{2} [/tex]
[tex] = 64 \times 6(4 + {2}^{8} {)}^{2} [/tex]
[tex] = 64 \times 6(16 + 2048 + 65536)[/tex]
[tex] = 64 \times 6 \times 67600[/tex]
[tex] = 25958400[/tex]
A computer and printer cost a total of 1152. The cost of the computer is three times the cost of the printer. Find the cost of each item.
Answer:
The cost of the printer is x=288 and cost of computer is 3x=864
Step-by-step explanation:
Let the cost of the printer be x and cost of computer be 3x
ATQ, x+3x=1152, x=288.
The cost of the printer is x=288 and cost of computer is 3x=864
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.
a. What is the area of the pool cover?
b. What is the length of the rope?
You must show all of your work to receive credit
Answer:
The cover has diameter of:
20 feet + 2*12 inches = 20 feet + 2 feet = 22 feeta.
Area of the pool cover:
A = πd²/4 = 3.14*22²/4 = 379.94 ft²b.
The length of the rope:
C = πd = 3.14*22 = 69.08 ftAnswer:
346.19ft65.94ftStep-by-step explanation:
Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.
20 + 2 = 22ft
Part A:
The formula for the area of a circle is πr².
To find the radius just divide by two; 22 / 2 = 11ft
= π(11)²
= 121π
≈ 379.94ft
Part B:
We can use the circumference formula [ dπ ] to find how long the rope is.
= 22(3.14)
= 69.08ft
Best of Luck!
K-5+1-5k please I need help
Explanation:
The like terms k and -5k combine to -4k
The like terms -5 and 1 combine to -4
So overall, that's how we end up with -4k-4
Answer:
-4k - 4Step-by-step explanation:
1). (k - 5k) + (-5 + 1) {Collect like terms}
2). -4k - 4 {Simplify}
how do you solve 3-(-7)?
Answer:
10
Step-by-step explanation:
Subtracting a negative is like adding
3 +7
10
Like what is this and how do you do it please explain clearly and understandable
Answer:
1/4
Step-by-step explanation:
HT represent the probability of tossing a head then Tail.
There is 4 possible results and only 1 give us HT.
We call this theoretical probability. which is
[tex] \frac{x}{y} [/tex]
where x is favorable outcomes and y is total number of outcomes.
So there is a 1/4 probability of getting a head followed by a tail.
a different way of proving the angle sum of a triangle is to use diagram
a.yes
Step-by-step explanation:
a.angle BCD =b because angle BCD is alternate angle of angle ABC
b.the two angles angle BAC and angle ACD is co-interior angle because they are inside a parallel line
It is midpoint please help
Step-by-step explanation:(2, -3)
[tex]thank \: you[/tex]
[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{5+8}{2},\dfrac{3.5+10}{2}\right)[/tex]
[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{13}{2},\dfrac{13.5}{2}\right)[/tex]
Will someone help me please?
Answer:
Ok so
Step-by-step explanation:
Yes yes yes yes its C
Use the given graph to determine the limit, if it exists. A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1.5, a closed point at 3, 7, and a horizontal line starting at the open point 3, 2. Find limit as x approaches three from the left of f of x..
Explanation:
The given limit notation means we're approaching x = 3 from the left side. So start at say x = 0 and approach x = 3. We don't actually get to x = 3 itself, but instead just get closer and closer. Note how y gets closer to y = 1.5
Write -0.450 as a fraction in simplest form.
Answer:
-0.450 as a fraction is -9/20
Step-by-step explanation:
Since there 3 decimal places, divide it by 1000
-450/1000 and simplify it
1.1x + 1.2x -5.4 =-10
Show answer
I circled the answer and put an example hope it helps
Order the numbers in each group from least to greatest 7/11, 0.63 and 0.636
7/11 , 0.636, and 0.63
Hope this helps
Answer:
Least to Greatest
7/11 , 0.636, 0.63
Step-by-step explanation:
7/11 = 0.6363636363636364
so this number is least
In the triangle above, the cosine of a is 0.8.What is sine of b?
Answer:
sin b = 0.8
Step-by-step explanation:
Since a and b are complementary angles , then
sin b = cos a = 0.8
The sine of angle b is 0.8
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is sine angle?"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle [tex]\theta[/tex] to the hypotenuse."
What is cosine angle?"In a right triangle, cosine of angle [tex]\theta[/tex] is the ratio of the adjacent side of angle [tex]\theta[/tex] to the hypotenuse."
What are complementary angles?"Two angles are complementary if the sum of their measures is equal to 90 degrees."
For given question,
We have been given a right triangle.
here,
∠a + ∠b = 90°
∠b = 90° - ∠a ................(i)
This means, a and b are complementary angles.
The cosine of a is 0.8
cos(a) = 0.8
We need to find the sine of angle b.
sin(b)
= sin(90 - a) .............(from (i))
= cos(a) .............(Since [tex]sin(90-\theta)=cos(\theta)[/tex])
= 0.8 ............(Given)
So, sin(b) = 0.8
Therefore, the sine of angle b is 0.8
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Find the mean medan mode
and range for the following
numbers
3.125.8.6.6
I'm not sure if this is what you meant - 3.12.5.8.6.6, but I'm operating based on that
mean - 6.7
median - 6
mode - 6
range - 9
can someone help me with this question
Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
28+12
—————
13-5
7th Grade Math Book (McGraw-Hill) page 9 exercise 26
If the cost price of 21 article is equalto the selling price of 18 articles. Find profit precent
Answer:
The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent. Answer: answer is 100/7 %
The measure of an angle is 87°. What is the measure of its supplementary angle?
Answer:
180-87 = 93
Step-by-step explanation:
supplementary angles add up to 180°
so (the other angle + 87)=180°
other angle =180-87=93°
Answer:
93 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees. Therefore, the equation for finding the supplementary angle to 87 would be:
[tex]87 + x = 180\\x=180-87\\x=93[/tex]
Have a nice day. Feel free to ask questions. Spread the love.
in which figures is segment AB a median?
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HELP
Answer:
B, D, H, I, J
Step-by-step explanation:
Median: A line segment that joins the vertex of a triangle to the midpoint of the opposite side.
Write this in set notation [-13; 4 )
Answer:
[tex]13\leq x<4[/tex]
Explanation:
If a side has a bracket [] then it is less than or equal to, meaning that it can reach that exact number.
However, if a side has a parentheses () then it is simply less than. It cannot be that exact number, but it can be even slightly less than that number.
Determine the geometric mean of 8 and 12, to the nearest tenth.
A) 10.0
B) 4.5
C) 48.0
D) 9.8
Answer:
D) 9.8
Step-by-step explanation:
The geometric mean of two numbers x and y is
[tex]\sqrt{xy}[/tex]
so [tex]\sqrt{8*12}[/tex] = [tex]\sqrt{96}[/tex] [tex]\approx 9.7979[/tex]
Which, since the 9 in the hundredths place is greater than 5, we can round up to 9.8