Find the length of TU.​

Answer:

A = 108 ft²

Step-by-step explanation:

the length of the smaller rectangle must be 9 (27÷3)

therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18

18 x 6 = 108

Answer:

y = -12x + 3

Step-by-step explanation:

The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:

y = mx + b

y = -12x + 3

Answer:

9.81m^2

Step-by-step explanation:

Given data

Pressure P= 50Pa

Mass M= 50kg

Weight= Mg= 50*9.81= 490.5N

Hence Force= 490.5N

We know that Pressure= Force/Area

Substitute

50= 490.5/Area

Area= 490.5/50

Area= 9.81 m^2

Hence the area is 9.81m^2

Answer:

Mastong by skoger넞호오ㅗ노아ㅗ너너엉

Answer:

Take an even number of random samples from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100 spinach plants

Step-by-step explanation:

Given that the total number of spinach plants in the farm = 10,000

To obtain a random sample, take a census of the number of farms wherein the spinach plants are planted, determine the mean size and standard deviation of the farm that way you can apply the central limit theorem.

After determining these Take an even number of random sample from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100

$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.

PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.

According to the question

Monique goes out for coffee once per week.

She has already spent $40.86 this year on her coffees and each one is $4.54.

There are 27 weeks left in this school year for Monique.

If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:

Based on the given conditions

[tex]40.86 + 27 \times 4.54[/tex]

By using PEDMAS rule, first we have to multiply 27 and 4.54

= [tex]40.86 + 122.58[/tex]

By using PEDMAS rule, first we have to add 40.86 and 122.58

= [tex]163.44[/tex]

Thus, $163.44 money will she have spent on coffee by the end of the year.

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Answer:

Step-by-step explanation:

Total hours:

Answer:

[tex]P=1259.26N/m^2[/tex]

Step-by-step explanation:

From the question we are told that:

Force [tex]F=68N[/tex]

Area [tex]A=540cm^2=0.054m^2[/tex]

Generally the equation for Pressure is mathematically given by

 [tex]P=\frac{F}{A}[/tex]

 [tex]P=\frac{68}{0.054}[/tex]

 [tex]P=1259.26N/m^2[/tex]

The required triangle is possible, the value of the tangent of ∠I is 1.33.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.

In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.

Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:

HI² = HJ² + IJ²

5² = 4² + 3²

25 = 16 + 9

tan(∠I) = opposite/adjacent = HJ/ JI = 4/3

Rounding to the nearest hundredth, we get:

tan(∠I) ≈ 1.33

Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.

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First let's calculate the exponents.

[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]

Now we should multiply and divide.

[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]

Now we should add and subtract.

[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]

Convert the improper fractions into mixed numbers.

[tex]8\frac{4373}{4374}[/tex]

Answer :

[tex]8\frac{4373}{4374}[/tex]

Answer:

Step-by-step explanation:

The x and y intercepts occur when either x or y = 0

For the y intercept, x = 0

3(0) - 5y + 15 = 0

- 5y + 15 = 0                  Subtract 15 from both sides.

-5y = - 15                       Divide by - 5

-5y / -5 = - 15/-5

y = 3

For x intercept, y = 0

3x - 5(0) + 15 = 0

3x + 15 = 0                    Subtract 15 from both sides

3x = - 15                        Divide by 3

3x/3 = - 15/3

x = - 5

xintercept = (-5,0)

yintercept = (0,3)

Step-by-step explanation:

Hey there!

Let "x°" be the first angle.

According to the question; the another angle is (2x+15)°. {since the condition of the question is fifteen more twice of the other angle }

Also, we know that complementary angles sum is 90°.

Then;

x° + 2x° + 15° = 90°

3x ° = 90°-15°

3x = 75°

x = 75°/3

Therefore, the angles are 25° and 65°.

Hope it helps!

Answer:

Step-by-step explanation:

Distance traveled by walking = x

i) The distance Mary run = 2 *x = 2x

ii) Distance traveled by bus = 65 m more than the distance she ran

                                             = 65 m more than 2x

Distance traveled by bus  = 2x + 65

Total distance traveled = 600 m

x + 2x + 2x +65 = 600

            5x + 65 = 600

                   5x = 600 - 65

                   5x = 535

                     x = 535/5

x = 107

Distance Mary walked = 107 m

Answer:

Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.

Answer:

ΔABC

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

ΔXYZ

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

ΔNOR

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

Step-by-step explanation:

According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;

In triangle ΔABC, we have;

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

In triangle ΔXYZ, we have;

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

In triangle ΔNOR, we have;

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

Answer:

2012 km squared

Step-by-step explanation:

2600(.95)^5

if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent

uh sorry if that doesn't make a lot of sense

Answer:

C. 49

Step-by-step explanation:

Start by filling in your values.

[tex]7^{2} + 99 / 11 - 9[/tex]

Solve using PEMDAS.

49 + 99 / 11 - 9

49 + 9 - 9

58 - 9

49

Answer:

[tex]c .\: \: 49[/tex]

Step-by-step explanation:

[tex] {y}^{2} + 99 \div x - 9[/tex]

[tex] {7}^{2} + 99 \div 11 - 9[/tex]

[tex] 49 +99÷11-9[/tex]

[tex]49+9-9[/tex]

[tex]58-9[/tex]

[tex]49[/tex]

The required solution after three successive iterations is near x = 7/8. Option c is correct.

Equation is -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation.

The equation is the values of two expressions that are equal.

Here,

[tex]-2x + 6 = -(2/3)^x + 5[/tex]

Arranging the equation

[tex]-2x + 6 +(2/3)^x - 5 = 0\\(2/3)^x-2x+1=0[/tex]
Since the solution of the equation is when f(x) = 0 at near to  x = 0.8
[tex]f(x) = (2/3)^x-2x+1\\[/tex]

First iteration at x =0.8
[tex]f(0.8) = (2/3)^x-2x+1\\ = (2/3)^{0.8}-2*0.8+1\\ = 0.123[/tex]

It will go up more to get exact zero, so
Second iteration at x = 0.9

[tex]f(0.9) = (2/3)^{0.9}-2*0.9+1\\f(0.9) = -0.106[/tex]

It seems that zero is near 0.9 so will go down
The third iteration at x = 0.87

[tex]f(0.87) = (2/3)^{0.87}-2*0.87+1\\f(0.87) = -0.037[/tex]

Here , solution is much near to x = 0.87 or x =7/8.

Thus, the required solution after three successive iterations is near x = 7/8.

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Answer:

x intercept: 4    y intercept: -10

Step-by-step explanation:

Use desmos graphing calculator :)

Answer: £1.18

Step-by-step explanation: 9.44/8 = 1.18

Answer:

1 =x

Step-by-step explanation:

24 - 2x = 19 + 3x

Add 2x to each side

24 - 2x+2x = 19 + 3x+2x

24 = 19 +5x

Subtract 19 from each side

24-19 =19+5x-19

5 = 5x

Divide by 5

5/5 = 5x/5

1 =x

Answer:

Option C

only there is p > -3

p < 6

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

:)

Hola bro espero y te sirva

Answer:

10n + 28

Step-by-step explanation:

a + d (n-1)

a = 38

d = 10

38 + 10 (n-1)

38 + 10n -10

10n +38 - 10

10n + 28

Hope this helps!

Answer:

50th

Step-by-step explanation:

10 multiply by 5 is 50

And 25 multiply by 2 is 50

50 is the first to appear on both sides

Answer:

a) 60, because in every triangle, the angles always add up to 180. there are three angles in a triangle, and you k is two add to 120, so of you and 60 to 120 you get 180

Answer:

Step-by-step explanation:

3 = 1(1 + x)^4

let q = 1 + x

3 = q^4

ln(3)  = 4  ln(q)

ln(3)/4 = ln(q)

.274 = ln(q)

q = e^.274 = 1.316

x = .316

Future amount = 48(1+.316)^4

Future amount = 143.96