Rewrite in simplest terms. 4 (-6g - 10h) + 3h - 4 (- 3h - 10g)

Answer:

12x + 9 this is probably right

The width of the basketball court is 10 meters

The area of the basketball court = \(30\sqrt{20}\) meter square

The length of the basketball court = \(6\sqrt{5}\) meter

The basketball is in rectangular shape. So we have to find the width of the rectangle

The area of the rectangle = The length of the rectangle × The width of the rectangle

The width of the rectangle = The area of the rectangle / The length of the rectangle

Substitute the values in the equation

The width of the rectangular basketball court = \(30\sqrt{20}\) ÷ \(6\sqrt{5}\)

Divide the terms

= 10 meters

Hence, the width of the basketball court is 10 meters

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Answer:

x= 9

y= 3 root 3

Step-by-step explanation:

to find the shorter leg length you have: hypotenuse/2

\( \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} \)

to find the longer leg length you have: shorter leg × root 3

\(3 \sqrt{3} \times \sqrt{3} = 3 \sqrt{9 } = 3(3) = 9\)

Answer:

Step-by-step explanation:

77*5=385

Answer:

x=18

Step-by-step explanation:

This two angles are complementary, which means that they both add up to 90. So we could set up the equation:

(4x+1)+(x-1)=90

5x=90

x=\(\frac{90}{5}\)

x=18

Have a nice day! :)

Got it. Hope this will help.

The value of [x] = 11.67 satisfies the equation 3x + 1 = 4|9|.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following equation -

3x + 1 = 4|9|

We have -

3x + 1 = 4|9|

3x + 1 = 4 × 9

3x + 1 = 36

3x = 35

x = 11.67

Therefore, the value of [x] = 11.67 satisfies the equation 3x + 1 = 4|9|.

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Answer:

3x = 18

x=6

check: 3(6)=18. 18=18

x/3 = -4

X=-12

Check: 12/3=4. 4=4

11x=121

x=11

Check: 11(11)=121. 121=121

-8y=32

x=-4

Check: -8(-4)=32. 32=32

y/4=12

y=48

Check: 48/4=12. 12=12

6y=-48

y=-8

Check: 6(-8)=-48. -48=-48

y/7=-7

y=-1

Check: (-1)/7=-7. -7=-7

x/5=5

x=1

Check: (1)/5=5. 5=5

1) solve

3x=18

x=6

check

3(6)=18

2) solve

x/3=-4

x=-12

check

-12/3=-4

3) solve

11x=121

x=11

check

11(11)=121

4) solve

-8y=32

y=-4

check

-8(-4)=32

5) solve

y/4=12

y=48

check

48/4=12

6) solve

6y=-48

y=-8

check

6(-8)=-48

7) solve

y/7=-7

y=-49

check

-49/7=-7

8) solve

x/5=5

x=25

check

25/5=5

Answer:

I think 7.6 i remember i had something like this  

Step-by-step explanation:

The area of the right triangle is 18.02 cm².

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sum of angles in a triangle is 180 degrees.

Therefore, let's find the area of the right angle triangle as follows;

let's find the height and base of the triangle.

using trigonometric ratios,

cos 75 = adjacent / hypotenuse

cos 75 = base / 12

base = 3.10582854123

Therefore,

sin 75 = opposite / hypotenuse

sin 75 = h / 12

height = 11.5911099155

height = 11.59

Therefore,

area of the triangle = 1 / 2 × 3.11 × 11.59

area of the triangle = 36.0483518371 / 2

area of the triangle = 18.0241759186

area of the triangle = 18.02 cm²

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Answer:

1  3/50

Step-by-step explanation:

the .06 is in the hundreths place so it would be 6/100 or 3/50

now add the whole number to it to get 1 3/50

Answer:

To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.

Step-by-step explanation:

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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Answer:

∠ABC = 94°

∠BCD = 25°

∠ACB = 43°

Step-by-step explanation:

∠ABD = 133°

Since △ADC is an isosceles triangle where AD = CD, it means that ∠CBD = 133°

We know sum of angles at a point is 360°.

Thus; ∠ABC = 360 - (133 + 133)

∠ABC = 94°

Now, in △BCD, ∠B = 133° and ∠D = 22°

Sum of angles in a triangle = 180°

Thus; ∠BCD = 180 - (133 + 22)

∠BCD = 25°

Since the △ABC is also an isosceles triangle , it means that;

In △ABC, ∠A = ∠C

Thus; ∠ACB = (180 - 94)/2

∠ACB = 86/2

∠ACB = 43°

To isolate the variable on one side of the equal sign, divide both sides of the equation by the coefficient of the variable.

Answer:

C = 36°, 57°, 87°

Step-by-step explanation:

scalene = all angles are different.

acute = all angles are under 90°.

triangle = all angles add up to 180°.

The only option that works for this is C) 36°, 57°, 87°

Answer:

a. Point C is at (8,8)

b. See image/expl

c. AngleABC = 140°

Step-by-step explanation:

You can just count squares to find the slope of AD. To find points along AD, go

UP1 and OVER4

UP1 and OVER4 is the slope 1/4.

Start from B and go

UP1 and OVER4.

Parallel lines have the same slope. Perpendicular lines have slopes with opposite sign and "flipped". To make CD perpendicular to AD the slope should be -4/1 or 4/-1 is the same thing. To find C go from D

UP4 and BACK1

this is the slope 4/-1

1/4 and 4/-1 are negative reciprocals (opposite sign and flipped over) so the lines will be perpendicular.

You cab use this explanation for part b. Or you the slope calculations using the coordinates. See image.

part c, see image.

9514 1404 393

Answer:

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

The ways to pack are

This is further explained below.

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

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The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

legs

Step-by-step explanation:

Answer:

The Legs of a right triangle are the two sides of a right triangle that intersect to form the right angle

Step-by-step explanation:

Two legs plus a hypotenuse make up a right triangle. The hypotenuse is the longest side of the right triangle and the side opposite the right angle, and the two legs meet at a 90° angle. Right triangles come in a variety of shapes, including 45°-45° right triangles and 30°-60° right triangles.

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1. The partial derivative of ∂R/∂R₁ is \(R_2^2R_3^2 / (R_1R_2 + R_1R_3 + R_2R_3)^2\)

2.  by symmetry of the problem, ∂R/∂R₂ and ∂R/∂R₃ will be the same expression, but with the roles of the resistances changed. Therefore

∂R/∂R₂ = R₁²R₃² / (R₁R₂ + R₁R₃ + R₂R₃)² and ∂R/∂R₃ = R₁²R₂² / (R₁R₂ + R₁R₃ + R₂R₃)²

The formula for the net resistance R in a parallel circuit is:

R = (R₁R₂R₃) / (R₁R₂ + R₁R₃ + R₂R₃)

The partial derivative ∂R/∂R₁ we can use the quotient rule, which is given by:

(d/dx)[u(x)/v(x)] = [v(x)u'(x) - u(x)v'(x)] / [v(x)]²

u = R₁R₂R₃

v = R₁R₂ + R₁R₃ + R₂R₃,

so u' = R₂R₃

v' = R₂ + R₃ given that the derivative of R₁R₂ and R₁R₃ with respect to R₁ are R₂ and R₃, respectively, and R₂R₃ does not contain R₁, so its derivative is zero.

Applying the quotient rule gives:

∂R/∂R₁ = [R₂R₃(R₁R₂ + R₁R₃ + R₂R₃) - R₁R₂R₃(R₂ + R₃)] / (R₁R₂ + R₁R₃ + R₂R₃)²

= [R₁R₂²R₃ + R₁R₃²R₂ + R₂²R₃² - R₁R₂²R₃ - R₁R₃²R₂] / (R₁R₂ + R₁R₃ + R₂R₃)²

= R₂²R₃² / (R₁R₂ + R₁R₃ + R₂R₃)²

Now, by symmetry of the problem, we can see that ∂R/∂R₂ and ∂R/∂R₃ will be the same expression, but with the roles of the resistances changed. Therefore:

∂R/∂R₂ = R₁²R₃² / (R₁R₂ + R₁R₃ + R₂R₃)²

∂R/∂R₃ = R₁^2R₂^2 / (R₁R₂ + R₁R₃ + R₂R₃)²

The denominators are the same for the partial derivatives with respect to each of the resistances, but the numerators depend on the squares of the other two resistances, not including the one we are differentiating with respect to.

The above answer is based on the full question below;

Suppose that three resistors are in parallel in an electrical circuit. If the resistances are R₁, R₂ and R₃ ohms, respectively, then the net resistance in the circuit equals R =(R₁ R₂ R₃)/(R₁R₂ +R₁R₃ + R₂R₃). Compute the partial differential of ∂R/∂R₁. Given this partial derivative, explain how to quickly write down the partial derivatives ∂R/∂R₂ and ∂R/∂R₃

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Questions:

1. 6 is not more than z.

2. The value of w is at least 12

3. Josiah plans to complete his 50 minutes of Mappers practice in 5 days and split the practice up evenly. Which inequality can he use to decide how many minutes he must complete each day?

4. Amy has $35.75 for her visit to the zoo. She must pay $7.25 for admission and wants to feed as many animals as she can. Food for the animals costs $1.25 each. What inequality represents the largest number of animal food that Amy can buy?

5. Jacob spent $40 on supplies to make 100 shirts for a baseball team fundraiser. Solve the inequality to help him decode how much to charge for each shirt to make a profit of more than $350.

100t-40 is greater than 350

Answers:

1. 6 is less than or equal to z (2nd option)

2. w is greater than or equal to 12 (1st option)

3. 5x is greater than or equal to 50 (1st option)

4. 1.25x + 7.25 is less than or equal to 35.75 (4th option)

5. t is great than 39 (3rd option)

Answer:1

Step-by-step explanation

Answer: 1

Step-by-step explanation: 6 - 5 is 1

I think this is a joke question- but uh there is your answer.

Answer:

8 yards < 10 yards

He has enough.

Step-by-step explanation:

1 yard = 3 feet

y yards = 24 feet

\(\frac{1}{3} :\frac{y}{24}\)

y · 3 = 1 · 24

3y = 24

3y ÷ 3 = 24 ÷ 3

y = 8

24 feet = 8 yards

8 yards < 10 yards