Density of water is 1000kg/m^3
Gold should sink downIf yes then it's pure goldlet l be the line through A(4,-3) and B(t,-2) that is parallel to the line through P(-2,4) and Q(4,-1) find the value of t
Answer:
t = [tex]\frac{14}{5}[/tex]
Step-by-step explanation:
Parallel lines have equal slopes.
calculate the slope m of PQ and then equate the slope of AB to slope of PQ
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = P (- 2, 4 ) and (x₂, y₂ ) = Q (4, - 1 )
[tex]m_{PQ}[/tex] = [tex]\frac{-1-4}{4-(-2)}[/tex] = [tex]\frac{-5}{4+2}[/tex] = - [tex]\frac{5}{6}[/tex]
now calculate slope of AB
with (x₁, y₁ ) = A (4, - 3 ) and (x₂, y₂ ) = B (t, - 2 )
[tex]m_{AB}[/tex] = [tex]\frac{-2-(-3)}{t-4}[/tex] = [tex]\frac{-2+3}{t-4}[/tex] = [tex]\frac{1}{t-4}[/tex]
equating the slopes gives
[tex]\frac{1}{t-4}[/tex] = - [tex]\frac{5}{6}[/tex] ( cross- multiply )
5(t - 4) = - 6
5t - 20 = - 6 ( add 20 to both sides )
5t = 14 ( divide both sides by 5 )
t = [tex]\frac{14}{5}[/tex]
Is the function in this table linear or nonlinear and why?
PLS HELP ME PLS I WILL MARK THE BRAINLIEST
Step-by-step explanation:
the area of a full circle (360°) is
pi×r²
r = 15 ft in our case
the area of a segment of a circle is the corresponding fraction of the whole circle area.
the angle of the shaded area is
360 - 332 = 28°
therefore, the area of the shaded area is
pi×15²×28/360 = pi×225×28/360 = pi×225×7/90 =
= pi×5×7/2 = 54.97787144... ft²
≈ 54.98 ft²
the area of the "ice rink" is the sum of a rectangle and a circle (which is split into 2 halves that are attached to both sides of the rectangle).
the radius of the circle is 7/2 = 3.5 meters.
the length of the rectangle in the middle is
18 - 2×3.5 = 18 - 7 = 11 meters.
so, the area of the rectangle is 11×7 = 77 m²
the area of the circle is
pi×r² = pi×3.5² = pi×12.25 = 38.48451001... m²
that means the total area is
77 + 38.48451001... = 115.48451... m² ≈ 115.48 m²
a. Find the slope of the line that passes through these points.
The slope is
(Type an integer or a simplified fraction.)
b. Is the slope between (1,4) And (3,12) the same as the slope between (3,12) and (4,16)?
Explain.
O A. Yes. Both slopes are equal to
(Type an integer or a simplified fraction.)
O B. No. The slope between (1,4) and (3,12) is equal to (4,16)
. The slope between (3,12) and
th
slope formula : [tex]\bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
a. coordinates : (3,12) and (4,16)
[tex]\sf \rightarrow \dfrac{16-12}{4-3}[/tex]
[tex]\sf \rightarrow \dfrac{4}{1}[/tex]
[tex]\sf \rightarrow 4[/tex]
b. coordinates : (1,4) and (3,12)
[tex]\sf \rightarrow \dfrac{12-4}{3-1}[/tex]
[tex]\sf \rightarrow \dfrac{8}{2}[/tex]
[tex]\sf \rightarrow 4[/tex]
⇒ A. Yes. Both slopes are equal to 4
HELP PLEASE I NEED IT NOW.
Answer:
Below :)
Step-by-step explanation:
1) 5^2 = 25
2) 12^2 = 144
3) 9^2 = 81
4) 15^2 = 225
5) 8^2 = 64
6) 7^2 = 49
7) 20^2 = 400
8) 13^2 = 169
9) 30^2 = 900
10) 25^2 = 625
– Using the order of operations, which operation should you perform last to evaluate this expression? (1 x 2.5) + (52-13) + (6.7 - 5) - (98+8) A Addition B Subtraction © Multiplication D Division
Considering the order of operations, the operation that should be performed last is given by:
B Subtraction.
What is the order of operations?The operations inside the parenthesis take precedence over every operation. Then, multiplication/division take precedence over sum/subtraction. If there are only multiplication/division or sum/subtraction, the precedence is from left to right.
In this problem, the expression is:
(1 x 2.5) + (52-13) + (6.7 - 5) - (98+8)
Solving the operations inside the parenthesis, the expression will be given by:
2.5 + 30 + 1.7 - 90
Only addition and subtraction, hence the order is from left to right, and the subtraction is done last, hence option B is correct.
More can be learned about order of operations at https://brainly.com/question/25909431
Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?
Answer:
6:45
Step-by-step explanation: add 45 min to 6:00 and you have your answer
Answer:6:45
Step-by-step explanation: 6:00 + 45minutes would be 6:45
the following shape has 1 pair of parallel sides 2, 7, 3, 8
Answer:
I think it's 8
Step-by-step explanation:
because if you think of an octagon it has eight sides and the only parallel sides is pn the top of the octagon and the bottom of the octagon
The radius of a semicircle is 4 miles. What is the semicircle's area?
Answer:
8[tex]\pi[/tex] miles or 25.133 miles
Step-by-step explanation:
your radius is 4 miles.
The area of a circle is A= [tex]\pi r^{2}[/tex]
Therefore, the area of this circle is [tex]4^{2} \pi[/tex], or 16[tex]\pi[/tex]
Half of this area, because what you're looking for is a semi-circle, is:
8[tex]\pi[/tex] (exact) or 25.133 (rounded) miles.
(15 points )
Find the x in the problem
(x−1)^2=9
Show steps if you can :)
Answer:
x=4 or x= -2
Step-by-step explanation:
(x-1)(x-1)
x(x-1)-1(x-1)
x^2-x-x+1
x^2-2x+1=9
x^2-2x+1-9=0
x^2-2x-8=0
p= -8
s= -2
1------ -8
2------ -4
x^2+2x-4x-8=0
x(x+2)-4(x+2)
(x+2)(x-4)=0
x+2=0
x-4=0
x= -2
or
x=4
2 Which set of side lengths will form a triangle?
16 ft, 4 ft, 21 ft.
6 30 ft, 30 ft, 60 ft
12 ft, 12 ft, 20 ft
3ft, 5 ft, 10 ft
None of the above. To form a standard triangle, all 3 sides must be of equal length.
4/9 x 5/6 simplest form
5/6 x 4/9 = 10/27 as a fraction form. The work for 5/6 times 4/9 as a fraction provides more insight of how to find what is 5/6 times 4/9 in fraction form and the different variations of such problems.
What is the solution to the linear equation? –12 3b – 1 = –5 – b b = –2 b = –1.5 b = 1.5 b = 2
The solution of the linear system is given by using an arithmetic operation. Then the value of b is 2.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The linear equation is given below.
–12 + 3b – 1 = –5 – b
The value of b will be given as
Add b both sides, we have
–12 + b + 3b – 1 = –5 – b + b
–13 + 4b = –5
Add 13 on both sides, we have
13 – 13 + 4b = – 5 + 13
4b = 8
Divide both sides by 4, we have
b = 2
More about the linear system link is given below.
https://brainly.com/question/20379472
Answer:
The fourth option, 2
What is the range of this relation?
Answer:
{- 1, 0, 4 }
Step-by-step explanation:
the range is the y- coordinates of the plotted points
the coordinates of the points are
(- 4, - 1 ) , (1, 0 ) , (1, 4 ) with y- coordinates - 1, 0, 4
then range is { - 1, 0, 4 }
What is the simplified form of the following expression? 2 startroot 18 endroot 3 startroot 2 endroot startroot 162 endroot
The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
What is the simplified form of an equation?The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.
The equation provided in the problem is,
[tex]2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]
Let the simplified form of the above expression is n. Thus,
[tex]n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]
Rewrite the equation to solve it further as,
[tex]n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}[/tex]
The square of the term cancel out the square root of it. Thus,
[tex]n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}[/tex]
Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
Learn more about the simplified form here;
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Help!!! 8. Determine whether each pair of functions f and g are inverses. Explain your reasoning.
Answer:
I would say that a is NOT an inverse, however b is.
Step-by-step explanation:
If you look at the two tables for a, you can tell that every pair has swapped places (as they should) except 0 and 9. In which in the second table, what should be the 9 in the x row, is just another 0 in its place.
While if you look at the two tables for b, every single pair has been swapped like it should, meaning the second table is the inverse of the first table.
Hope this helps you btw. I'm sorry if it doesn't though.
A square with side length s has an area of 324 square centimeters. This equation shows the area of the square ^{s^2}is 324
Answer:
the side s is 18
Step-by-step explanation:
s=?
Area of square(A)=324
Now,
A=s²
324=s²
√(324)=s
s=18
simplify 35x-35
over 14x-49
Answer: Distributive property a(b+c) = ab + ac
-5(7)x + 7(7) = -35x + 49 (D)
A figure is made up of a triangle and a rectangle. The triangle has a height of 8 inches and a base of 9 inches. The rectangle has dimensions of 7 inches×9 inches. What is the area of the figure?
Step-by-step explanation:
area of triangles
1/2*9*8= 36
area of.rectangle
8*9= 72
36+72=108 square inches
n the past you paid $800 per month to rent your apartment. You now pay $900 per month for your rent. What is the percent increase in your rent?
Answer:
12.5%
Step-by-step explanation:
900 - 800 = 100
Gotta pay $100 more
100 / 800 = 0.125
Find the area of the trapezoid shown below. {?} square feet
Answer:
432
Step-by-step explanation:
Convert 191% to a decimal.
Answer:
1.91
Step-by-step explanation:
191% means [tex]\sf \frac{191}{100}[/tex]
So to write 191% as a decimal, simply divide it by 100.
To divide a number by 100, move the decimal point to the left by 2 places.
[tex]\sf \implies 191 \div 100=1.91[/tex]
Math need help asap ty po sa makaka sagot
please see analysis
Step-by-step explanation:[tex]\left\{\right.{ \triangle}\ RST\cong { \triangle}\ DE[/tex]F
[tex](SSS\ Congruence\ Postulate)[/tex]
[tex]2.\ { \triangle\ CAT\cong { \triangle\ BED\ \left\{\right.Given\left.\ \right\}[/tex]
[tex]\bar{AT}\cong\bar{ED}[/tex]
[tex]\overline{AT}=20[/tex]
[tex]so\ \overline{ED}=20[/tex]
[tex]DE=3x-7=20\rightarrow\ x=9[/tex]
I hope this helps you:)
PLEASE HELP I DONT UNDERSTAND IVE BEEN TRYING FOR 15 MINS AND STILL DONT GET IT
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included)
The values of the length of the missing sides of triangle is x = 7√2 and y = 7.
What are special triangles?Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.
One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.
From the given figure we observe that the two angles are 45 degree and 90 degree.
Using the angle sum property we have:
45 + 90 + third angle = 180
third angle = 45 degrees.
The triangle is thus a 45-45-90 triangle.
The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.
Here, the angle corresponding to 45 is 7.
Thus, y = 7 and x = 7√2.
Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.
Learn more about triangles here:
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The following structure is composed of three right rectangular prisms: two that each measure 12 inches by 10 inches by 5 inches and one right rectangular prism that measures 10 inches by 8 inches by 36 inches. What is the total volume of the structure? Show your work and/or explain your reasoning..
The volume of the stucture made from three rectangular prism is 4080 ft³
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the rectangular prism = length * width * height = 12 * 10 * 5 = 600 ft³
The volume of the other prism = length * width * height = 10 * 8 * 36 = 2880 ft³
Volume of the structure = 600 ft³ + 600 ft³ + 2880 ft³ = 4080 ft³
The volume of the stucture made from three rectangular prism is 4080 ft³
Find out more on volume at: https://brainly.com/question/12410983
Candice has already taken 5 pictures at home, and she expects to take 1 picture during every day of vacation. How many days will Candice have to spend on vacation before she will have taken 7 pictures?
Answer:
2 days.
Step-by-step explanation:
Candice has already taken 5 pictures total, so if she needs to have seven in total she will only have to go on vacation for two days.
There is an isosceles triangle which is also a right triangle. Its area is 50 square inches. Find the length of the base of the triangle
Answer: 10 inches
Step-by-step explanation:
solve 2-6(1-x)=6-4(-x-2) for x
Answer:
x = 9
Step-by-step explanation:
Simplifying
2 + -6(1 + -1x) = 6 + -4(-1x + -2)
2 + (1 * -6 + -1x * -6) = 6 + -4(-1x + -2)
2 + (-6 + 6x) = 6 + -4(-1x + -2)
Combine like terms: 2 + -6 = -4
-4 + 6x = 6 + -4(-1x + -2)
Reorder the terms:
-4 + 6x = 6 + -4(-2 + -1x)
-4 + 6x = 6 + (-2 * -4 + -1x * -4)
-4 + 6x = 6 + (8 + 4x)
Combine like terms: 6 + 8 = 14
-4 + 6x = 14 + 4x
Solving
-4 + 6x = 14 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-4 + 6x + -4x = 14 + 4x + -4x
Combine like terms: 6x + -4x = 2x
-4 + 2x = 14 + 4x + -4x
Combine like terms: 4x + -4x = 0
-4 + 2x = 14 + 0
-4 + 2x = 14
Add '4' to each side of the equation.
-4 + 4 + 2x = 14 + 4
Combine like terms: -4 + 4 = 0
0 + 2x = 14 + 4
2x = 14 + 4
Combine like terms: 14 + 4 = 18
2x = 18
Divide each side by '2'.
x = 9
Simplifying
x = 9
Which inequality is shown in the graph?
Answer:
Step-by-step explanation:
Which set of directions correctly describes how to plot the point (5, 7) on the coordinate plane?
1) Start at the origin. Move 5 units up, then move 7 units to the right.
2)Start at the origin. Move 5 units up, then move 7 units to the left.
3)Start at the origin. Move 5 units to the right, then move 7 units up.
4)Start at the origin. Move 5 units to the left, then move 7 units up.
Answer:3
Step-by-step explanation: