The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

Answers

Answer 1
GỌI CẠNHngắn: x, x>0DÀI: X+  30ĐƯỜNG CHÉO [tex]\sqrt{ x^{2} +(x+30)^{2} }[/tex] [tex]\sqrt{ x^{2} +(x+30)^{2} }[/tex]   =X+60[tex]x^{2} +(x+30)^{2}[/tex]=  [tex](x+60)^{2}[/tex] [tex]x^{2} =(x+60)^{2} -(x+30)^{2}[/tex][tex]x^{2} =(x+60+x+30) * (x+60-x-30)[/tex][tex]x^{2} = (2x+90)*30[/tex][tex]x^{2} = 60x+2700[/tex][tex]\left \{ {{x_{1} =90} \atop {x_{2} _=(-30)}} \right.[/tex]suy rax =9 0nênngắn =90mdài=120mĐƯỜNG CHÉO: [tex]\sqrt{90^{2} +120^{2} }[/tex]=150

Related Questions

Which of the following expressions is equal to x2 +25?
O A. (x+10)(x-15)
O B. (x-51)(x+51)
OC.
-512
O D. (x+5)

Will give brainyliest answer

Answers

Answer:

Solution given:

x²+25=???

we have

formula

a²+b²=(a+b)²-2ab or (a-b)²+2ab

so

x²+25 =x²+5²=(x+5)²-2x*5=(x+5)²-10x

or

x²+25=x²+5²=(x-5)²+2x*5=(x-5)²+10x

:.

expressions is equal to +25 is

(x-5)²+10x

or

(x+5)²-10x

help again geometry similarity transformations

Answers

1. 2

2. The X axis

3. 3 right and 1 up (3, 1)

Answer:

2 or A

x-axis or y = 0

I'm not sure the answer choices for the third one so I'm heading out.

Step-by-step explanation:

If your device is capable of taking screenshots from your laptop/desktop, then take a screenshot, like on Windows OS, it's Windows Key + Shift + S, and on Mac OS, it's Command + Control + Shift + 4, I think.

Taking a picture from a phone takes longer to upload and has bad quality since it's from a further distance and the individual pixels are more spread out.

Question 3 of 10
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Divide both sides by 3
D. Property. Addition property of equality
E. Property: Multiplication property of equality
DF Property Division property of equality

Answers

Answer:

C. Divide both sides by 3

Step-by-step explanation:

3x=12

3x/3=12/3

x=4

help find the height

Answers

Answer:

A

Step-by-step explanation:

Heron's formula finds the area of any triangle.

Area = sqrt(s*(s - a)*(s-b)*(s-c) )

s = (a + b + c)/2

a = 8

b = 16

c = 12

s = 36/2 = 18

s-a = 18 - 8 = 10

s-b = 18 - 16 = 2

s-c = 18 - 12 = 6

Area = sqrt(18*10*2*6) = sqrt(2160)

Area = 12*sqrt(15)

Area = 46.4758

Now x is easily found. It is the altitude to 16

Area = 1/2 16 * h

46.4758 * 2 / 16 = h

h = 3*sqrt(15)/2

h= 5.81

The statements below can be used to prove that the triangles are similar. On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long. StartFraction A B Over X Y EndFraction = StartFraction 4 Over 2 EndFraction ? StartFraction A C Over X Z EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction △ABC ~ △XYZ by the SSS similarity theorem. Which mathematical statement is missing?

Answers

Answer: c. BC/YZ=6/3

Step-by-step explanation:

trust

Answer: The answer is C. BC/YZ = 6/3

Step-by-step explanation:

Got it right on edge 2023

Someone help me with this

Answers

Side of base=10kmPerimeter

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow (side)4[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 4(10)[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40km[/tex]

Height=9.4km

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=Perimeter\times Height[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=40(9.4)[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surace\:Area=384m^2[/tex]

can anyone help with this? im confused

Answers

Circumference/ Pigreco = 22 / 3,14 = 7
So it’s letter A

The numbers 8,x,9 and 36 are in proportion.Find x​

Answers

If you can give the proportion then it would be better.

I am asuming

8:x::9:36

Then 8:x::1:4

So x = 32

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 32

Step-by-step explanation:

[tex]\frac{8}{x}[/tex] = [tex]\frac{9}{36}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

x = 8 × 4 = 32

Which expression is the simplified form of -10 + 3x - x - 7x + 5x + 7 + 2x?
A. 4x-3
B. 2x - 3
C. -18x - 17
D. -X​

Answers

Answer:

B

Step-by-step explanation:

-10 + 3x - x - 7x + 5x + 7 + 2x

combine like terms

-10 + 3x - x - 7x + 5x + 7 + 2x

-3 + 3x - x - 7x + 5x + 2x

the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x

= 2x - 3

Some help me with this pls.

Find m

Answers

Answer:

The inscribed angle intercepts the circle's radius is always 90

Step-by-step explanation:

Find the missing side lengths

Answers

4 because a 45-45-90 triangle has a side ratio of 1-1-sqrt2 with sqrt2 being the hypotenuse

2 Select THREE expressions that are equivalent to 16x - 68 A. -4(4x - 17) B-28x + 3) c. 21-8-34) D 4 - 4 - 17) E 8 - 2x-8)


pls help:(​

Answers

Answer:

Step-by-step explanation:

let's try a:

-4*4x-4*(-17) - expand the distributing terms

-16x-4*(-17) - simplify

-16x-(-68) - simplify again

-16x+68 - remove parentheses

-16x+68 does not equal to 16x-68

lets try b:

-28x+3... dont know what u mean

lets try c:

13-34 first

-21

lets try d:

0-17

-17

lets try e:

-2x+(8-8)

-2x

fortunally dont know what you mean.

Please do a explanation:’)

Answers

Answer:

3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)

By BODMAS rule...

= 3x-5x-3xy-2xy+6

= -2x-5xy+6

hope you understood...

Answer and Step-by-step explanation:

We are given an expression to simplify. According to PEMDAS

(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.

With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.

Start with the first set of terms in the expression.

3(x - xy)

We need to multiply 3 to the x and negative xy.

3x - 3xy

Now we go to the next set of terms in the expression.

-x(2y + 5)

Distribute the x (multiply) to the 2y and 5.

-2xy - 5x

Now, we combine like terms within the entire expression.

Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.

3x - 3xy - 2xy - 5x + 6

____________________________________________

-5xy - 2x + 6   <- This is the final answer; the simplified version of the expression.

#teamtrees #PAW (Plant And Water)

Instructions: Find the missing side. Round your answer to the nearest
tenth.
16
51°
х
II

Answers

Answer:

Step-by-step explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x              Multiply both sides by x

x * Tan(51) = 16            Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.96

Answer:

12.9

Step-by-step explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x            

Multiply both sides by x

x * Tan(51) = 16        

Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.9

What do you know to be true about the values of p and q?

Answers

Answer:

p = q

Step-by-step explanation:

Angles in a triangle add up to 180°

For the left triangle:

180 = p + 20 + 80

p = 80

For the right triangle:

180 = q + 45 + 55

q = 80

Therefore, p = q

Find m arc DC.

Please help!

Answers

Answer:

51

Step-by-step explanation:

Ram bought a watch and sold to hari at 10% profit. Hari again sold it to Ram for rs 6,050 at 10% profit. i)find the cost price of Hari. ii) find the cost price of Ram.

Answers

Answer:

dame like y muchísimas estrella

Can someone help me I don't know

Answers

Answer:

The answer would be (x-5, y-5)

Step-by-step explanation:

You can find this out by finding the difference between D(3,5) and D'(-2,1) (pr any other coordinate) which is -5 in both the x and y coordinates making the answer (x-5, y-5).

i don’t know what it is can someone help

Answers

Answer:

b

Step-by-step explanation:

Decide!!!!!!!!!!!!!!!!!!!

Answers

Answer:

n = {9, 10}

Step-by-step explanation:

Let the equation be:

n² - 19n + 91 = k²

Multiply both sides by 4 and complete the square:

4n² - 76n + 364 = 4k²(2n)² - 2(2n)(19) + 19² + 3 = 4k²(2n - 19)² - 4k² = - 3(2n + 2k - 19)(2n - 2k - 19) = -3

Since -3 = 1(-3) = (-1)*3, we have following options:

1)

2n + 2k - 19 = 12n - 2k - 19 = -3

Eliminate k by adding up equations:

4n - 38 = -24n = 36n = 9

2)

2n + 2k - 19 = -12n - 2k - 19 = 3

Eliminate k by adding up equations:

4n - 38 = 24n = 40n = 10


Evaluate the expression when a=3.
a^2 - 6a -5

Answers

Answer:

- 14

Step-by-step explanation:

a = 3

a^2 - 6a - 5

= 3^2 - 6 ( 3 ) - 5

= 9 - 18 - 5

= 9 - 23

= - 14

9-18-5= -9-5=-14

Just substitute 3 for a and solve.

3^2=3(3)=9
-6(3)=-18

solve |2x+2|=10 ap3x

Answers

Answer:

solving for x

Step-by-step explanation:

4 or -6

Answer:

x = 4

Step-by-step explanation:

Those absolute value signs are a trick, well at least for this problem. Solve it how you usually would. However, if +2 was -2 or +/-2, then you would need to pay attention. Basically, those signs make the whole equation incased positive no matter what.

Combine these radicals.




Anyone can help pls

Answers

C. -26 square root of 3

The buyer for a chain of stores purchased kitchen tables in bulk, paying $32 each. The stores will sell each kitchen table for $58. What percentage is the mark-up?

Answers

Answer:

The markup is 81.25%

Step-by-step explanation:

Take the new price and subtract the original price

58 - 32

26

Divide by the original price

26/32

.8125

Change to percent form

81.25%

The markup is 81.25%

Which represents the polynomial below written in standard form?

StartFraction x squared Over 2 EndFraction – 3x + 4x3 + 6
6 + StartFraction x squared Over 2 EndFraction – 3x + 4x3
4x3 + StartFraction x squared Over 2 EndFraction – 3x + 6
–3x + 4x3 + 6 + StartFraction x squared Over 2 EndFraction
StartFraction x squared Over 2 EndFraction + 4x3 – 3x + 6

Answers

Answer:

B. [tex]4x^3}+\frac{x^2}{2}-3x+6[/tex]

Step-by-step explanation:

The polynomial is [tex]\frac{x^2}{2}-3x+4x^3}+6[/tex]

To write in Standard form, the greatest exponent goes first, down to the least.

The greatest exponent is 3, so [tex]4x^3[/tex] goes first.

[tex]4x^3}+\frac{x^2}{2}-3x+6[/tex] is what you end up with

Answer:

B

Step-by-step explanation:

I took the test.

given square NOWR, what is the value of x and y?

Answers

Answer:

x = 4, y = 9

Step-by-step explanation:

The angles in a square are right, that is 90°

The diagonals bisect the angles , then

6x + 21 = 45 ( subtract 21 from both sides )

6x = 24 ( divide both sides by 6 )

x = 4

------------------------------------------------

The sides of a square are congruent , then

10y - 29 = 5y + 16 ( subtract 5y from both sides )

5y - 29 = 16 ( add 29 to both sides )

5y = 45 ( divide both sides by 5 )

y = 9

help me pls??????? :)

Answers

Answer:4 in each bad 2 left over

Step-by-step explanation:

Answer:

4 in each bag and 2 left over

Step-by-step explanation:

divide 14 by 3

3 goes into 14, 4 times

14 - 12 = 2

4 in each bag and then 2 left over


The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?

Answers

Answer:

These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly

Step-by-step explanation:

A train travels a distance of 60 km at uniform speed. If the speed of the train was reduced by 10 kmh-1, the time taken to travel the 60km will increase by 1/2h. Find the speed of the train at the beginning.

Answers

Answer:

Initial speed is 32 m/s

At uniform speed, acceleration is 0, (a = 0).

When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.

From first equation of motion:

[tex]{ \boxed{ \bf{v = u + at}}} \\ { \tt{(v - u) = at}}[/tex]

substitute:

[tex]{ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \: {ms}^{ - 2} }}[/tex]

from second equation of motion:

[tex]{ \boxed{ \bf{s = ut + \frac{1}{2} a {t}^{2} }}}[/tex]

substitute:

[tex]{ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times {1800}^{2}) }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}[/tex]

Find the measure of

Answers

Answer:

<L is 90°

Step-by-step explanation:

all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180

I hope this helps

Other Questions
who was the first brain special Question 12 plz show ALL STEPS Name thirty facts about the Great Depression Determine the measure of the interior angle at vertex E.A. 135B. 45C. 225D. 75 Mention a possible danger of injecting a healthy person with adrenalin after he has eaten a large meal What are the metals that can displace Iron(||) from a solution Please helpGiven O below, if XY and YZ are congruent, what is the measure of chord XY? please help !!!! i would really appreciate it A customer's stock value seems to be rising exponentially. The equation for the linearized regression line that models this situation is log(y) = 0 30x +0 296, where x represents number of weeks. Which of the following is the best approximation of the number of weeks that will pass before the value of the stock reaches $200? A. 9.3 B. 12.1 C. 6.7 D. 4.8 When is it appropriate to use the two-sample t-methods instead of the one sample t-methods? Choose the correct answer below. A. Use the two-sample t-methods when a sample was taken from each of two populations (i.e. two groups being compared) and the population standard deviations are not known. Use the one-sample t-methods when a sample was taken from one population. B. Use the two-sample t-methods when a random sample was not taken. Use the one-sample t-methods when a random sample was taken. C. Use the two-sample t-methods when the conditions for inference using the one-sample t-methods aren't satisfied. D. Use the two-sample t-methods when the population standard deviation is known. Use the one-sample t-methods when the population standard deviation is not known. Using the following nucleotide sequence, predict the complementary strand sequence:5'-TTAAACCCGTTGGAAC-3'5'-AATTTGGGCAACCTTG-3'3'-AATTTGGGCAACCTTG-5'03-CCGGGTTTACCAAGGT-5'0 3'-TTAAACCCGTTGGAAC-5' Nghim ca bt phng trnh | 2x - 3| - 1 Ashley, a psychology major, remarks that she has become interested in the study of intelligence. In other words, Ashley is interested in? Look at this painting. It belongs to which artistic movement?A. RomanticismB. Neoclassicism(Imnressionism How are bushido, the code of the samurai warrior, and zen related? with reference to the company act in Kenya ,describe the capacity of a company to enter into a binding contract. Help plz and thank you Every society has a set of religions,culture,traditions and social institutions that produce and regulate norms and values. Explain Can someone do #4 #5 #6? I AM GIVING BRAINLISEST AND 20 POINTS! Write the equation of the circle in standard form.