Answer:
[tex]Area = 2900[/tex]
Step-by-step explanation:
Given
[tex]A (x_1,y_1) = (40,20)[/tex]
[tex]B (x_2,y_2) = (80,20)[/tex]
[tex]C (x_3,y_3) = (100,70)[/tex]
[tex]D (x_4,y_4) = (40,70)[/tex]
Required
Determine the Area
The area of the section is:
[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]
Substitute values for the x's and y's
[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]
[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]
[tex]Area = \frac{1}{2}|5800|[/tex]
[tex]Area = \frac{1}{2} * 5800[/tex]
[tex]Area = 2900[/tex]
Hence, the area of the section is 2900ft^2
factor 2x^3+7x^2-3x-18 completely, given that x+2 is a factor
the other factors are: (x+3) and (2x−3)
Step-by-step explanation:
Complete the statement. Round to the nearest hundredth if necessary.
4 ft = ?m
Answer:
1.2192
Step-by-step explanation:
There are 1.22 meters in 4 feet.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
We have,
1 meter = 3.28 feet
1 ft = 0.3048 m
Multiply 4 on both sides.
4 ft = 4 x 0.3048 m
4 ft = 1.2192 m
Rounding to the nearest hundredth.
4 ft = 1.22 m
Thus,
4 feet is equal to 1.22 meters.
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Factor the binomial completely. x2−81
Answer:
(x - 9)(x + 9)
Step-by-step explanation:
x² - 81 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), then
x² - 81
= x² - 9²
= (x - 9)(x + 9)
Consider the triangle.
Which shows the order of the angles from smallest to largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
Answer:
angle B, angle A, angle C
Step-by-step explanation:
I need some help with this question don't get it help please.
Answer:
Scale factor is 3.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
The scaled factor is basically the multiplier of which the shape has been transformed. As you can see on the shape from figure A to figure B, the numbers have been divided by 3. 9/3=3, 3.6/3=1.2
Hope this helps you!
Solve for x in the two equations below using substitution
12x-6y=60
24x+6y=300
Answer:
x = 10
Step-by-step explanation:
Given the 2 equations
12x - 6y = 60
24x + 6y = 300
Adding the 2 equations term by term will eliminate the y- term, that is
36x + 0 = 360
36x = 360 ( divide both sides by 36 )
x = 10
Please help!!! I need help solving just this one question and then I’ll be finished with this homework!!!
what's the length of line AB if point A is at (6,3 and point B is at (8,-8)
Answer:
Step-by-step explanation:
Solution,
Here,
A=(6,3) (x1,x2)
B=(8,-8) (y1,y2)
AB=?
Now,
(AB)^2=(x2-x1)^2+(y2-y1)^2
Now putting the value of x1,x2,y1,y2
=(3-6)^2+(-8+8)^2
= (-2)^2+(0)^2
= (-4,0)
AB=(-4,0)
Hope it helped you.
Plz mark me brainliest.
plzzzzzzzzzzzzzzzzzzzzzzzzzzz help me this so easy i just dumd
Write an equation for this relationship. if x represents the days and y represents the total cost.
Answer:
18.5
Step-by-step explanation:
Just add 18.5 and 55.50 and repeat with the other numbers
Answer:
x is 18.5
Step-by-step explanation:
3/55.50=18.5
same as all the others
Solve for p. 3(p+4) = 36
Answer:
3p + 12 = 36
3p = 36 - 12
3p = 24
p=8
Answer:
p = 8
Step-by-step explanation:
3( p + 4) = 36
3p + 12 = 36
- 12 - 12
3p = 24
_______
3
p = 8
Hope this helps!
In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.
(with the working pls )
Answer:
2.4 percent of the glass is broken because if three out of 80 glasses broke that would be how many
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an art student wants to take a triangle with side lengths of 9,9, and 15 and enlarge it so that the longest side of a new triangle is 22.5. what will the length of the other two sides of the new triangle be
Answer:
13.5
Step-by-step explanation:
The longest side of the smaller triangle is 15 while that of the bigger one is 22.5
The enlargement ratio is 22.5/15 = 1.5
so the lengths of the smaller sides will be;
(1.5*9) = 13.5
Please help!
The sum of two numbers is 52. Their difference is 4. Find both numbers.
Form: Ax+By=C
Answer:
THE ANSWER IS 44!
Step-by-step explanation:
What would you call the shape of this formula (C3H8)
An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.
Which is the net for this rectangular prism?
Answer:
probably c
Step-by-step explanation:
pls help! correct answer will get brainliest :)
Answer:
x = 31°
Step-by-step explanation:
triangle = 180°
-there is a right angle
180-90 = 90
90-59= 31
31+90+59 = 180
Answer:
[tex]x=31^{\circ},\\y=5[/tex]
Step-by-step explanation:
Since DB bisects [tex]\angle ABC[/tex], [tex]DC=DA[/tex]. Therefore, [tex]\fbox{$y=5$}[/tex].
From the isosceles base theorem, the measure of the angles adjacent to the congruent sides of an isosceles triangle are equal. Therefore, we can write the following equation:
[tex]2x+59+59=180,\\2x+118=180,\\2x=62,\\x=\fbox{$31^{\circ}$}[/tex].
5x+y=7
20x+2=y
What does x=?
What doesy=?
Answer: y = 6 x = 0.2
Step-by-step explanation:
5x+y=7
20x+2=y
re-write one
5x + y = 7 OR y = 7 - 5x
substitution
20x + 2 = 7 - 5x
20x + 5x = 7 - 2
25 x = 5
x = 5/25
x = 0.2
now for finding y
y = 7 - 5x
y = 7 - 5(0.2)
y = 7 - 1
y = 6
(88÷1×2×5−9)+3×8 what does this make
Answer: 6992
Step-by-step explanation: (88 / 1 = 88) (88 * 2 = 176) (176 * 5 = 880) (880 - 9 = 871) (871 + 3 = 874) (874 * 8 = 6992)
Heba's account balance is $29.17. Nour's account balance is $11.99
Which account matches each description?
Answer:
Heba has a greater balance and Nour has more debt
i just what some special person who gets this to have a good day stay safe god bless
Answer:
Same back to you
Step-by-step explanation:
I hope you smile today and don't let corona stop you from anything
Answer: thank you
Step-by-step explanation:
Question is in picture below
[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]
Select the correct answer
Answer:
B. iStep-by-step explanation:
n/4 has a remainder of 3, then it has a format of:
n = 4k + 3Substitute n:
i^n = i^(4k)*i^3 = i^(4k)*i^2*i = (-1)(-1)*i = iCorrect option is B. i
How is the general shape of a cube root function different from the shape of a square root function?
Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.
See :
The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.
What is the cube root function?A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.
A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.
In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.
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solve the proportion
4/5 = x/15
Answer:
x = 12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
hmmm it got deleted
x=12
Step-by-step explanation:
because 4/5 times 15 is 12
also, 5x=60
x=12
What is the length of an arc that subtends an angle of 60° at the centre of radius ½m?
a) 0.5238 b) 0.53
c) 0.357 d) 0.25
Pls help!!!!!
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena
starts with $10 in her savings account and adds $20 each week.
1. After four weeks, who has more money in their savings account? Explain how you know.
2. After how many weeks will Andre and Elena have the same amount of money in their savings accounts?
Answer:
Andre and 6 weeks
Step-by-step explanation:
because,20x4+10=90 and 5x4+100=
HELP PLEASEEE!!!!!!!
Answer:
1/3^3 *1/3^2
1/27 *1/9
1/243
Answer: 1/243
Step-by-step explanation:
first, i calculate it.
3^-5
then, i expressed it with a positive exponent.
1/3^5
finally, i simplified it.
1/243
What's the value of the expression 10/12 + (- 8/9)
Answer: -1/18 im pretty sure
Step-by-step explanation: Find the exact value using trigonometric identities.
Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
number of dimes 11 to 14
Step-by-step explanation:
given data
coin = 19
worth no less = $1.30
Nolan nickles = 5
solution
we convert 5 cent to dollars, it will be
5÷100 = $0.05
and
dime is worth 10 cents
so it will be 10 ÷ 100 = $0.1
so we consider here x as the number when nickels.
and we consider y as the number of dimes.
so here we can say
x + y ≤ 19 ..........................1
as here no less than $1.30 combined.
so
0.05 x + 0.1 y ≥ 1.3 ......................2
and
when Nolan has 5 nickels
put x = 5 in eq 1
5 + y ≤ 19
y ≤ 19 - 5
y ≤ 14
and
now we put x = 5 in eq 2
0.05 × 5 + 0.1y ≥ 1.3
0.25 + 0.1y ≥ 1.3
0.1y ≥ 1.3 - 0.25
0.1y ≥ 1.05
y ≥ 10.5
so all possible values for the number of dimes 11 to 14