Find the length of HD
if entering your answer as a decimal, round your final answer to the nearest hundredth.

HD = units ​

Answer:

5

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Following the order, first is parenthesis:

3 · 5 - 2(5)

Multiplication:

15 - 10

5

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - y = 9 into this form by subtracting 3x from both sides

- y = - 3x + 9 ( divide all terms by - 1 )

y = 3x - 9 ← in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex], thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (6, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - [tex]\frac{1}{3}[/tex] x + 8 ← equation of perpendicular line

Answer:

p^2-3

Step-by-step explanation:

Answer:

I think it is 12

Step-by-step explanation:

Answer:

Step-by-step explanation:100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000$

Final answer:

The correct width of Tamara's backyard is calculated by dividing the area by the length, resulting in a width of 2/15 miles.

Explanation:

The student's question involves setting up an equation to find the width of a rectangular backyard given its length and area. To find the width, we use the formula for the area of a rectangle, which is Length × Width = Area. Tamara's backyard has a length of 5/2 miles and an area of 3/9 square miles. Setting up the equation correctly, we have:

(5/2 miles) × Width = 3/9 square miles

To find the width, we divide both sides of the equation by the length:

Width = (3/9 square miles) / (5/2 miles)

After simplification, which we can do by multiplying by the reciprocal of 5/2, we get:

Width = (3/9) × (2/5) miles

Width = (3 × 2) / (9 × 5) miles

Width = 6/45 miles

After further simplification:

Width = 2/15 miles

Therefore, the correct width of Tamara's backyard is 2/15 miles.

Answer:

- 2x² + 3x + 64

Step-by-step explanation:

3x - (2x-8)²       Write the equation and distribute the exponent

3x - 2x² + 64     Write the equation in order of degree of exponents, or standard form

- 2x² + 3x + 64

the result of the polynomial when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex] is

[tex]-4x^2+35x-64[/tex]

Given :

We need to simplify when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex]

Lets subtract[tex](2x-8)^2[/tex] is subtracted from [tex]3x[/tex]

we write the expression as

[tex]3x-(2x-8)^2[/tex]

Now we expand the square

[tex]3x-(2x-8)^2\\3x-(2x-8)(2x-8)\\3x-(4x^2-16x-16x+64)\\3x-4x^2+16x+16x-64\\-4x^2+35x-64[/tex]

The simplified polynomial is

[tex]-4x^2+35x-64[/tex]

Learn more

brainly.com/question/12099138

Answer:

all

Step-by-step explanation:

This is the same as the slope because this is a linear equation

y = 5x is the same as y = 5x+0 which compares to y = mx+b

m = 5 is the slope = rate of change

b = 0 is the y intercept = starting amount

Answer:

a. 3, 100 degrees

- I know 6 is 100 degrees and angle 3 is identical to angle 6. Therefore, angle 3 is 100 degrees.

b. 6, 100 degrees

- Angle 3 and 6 are identical. This means angle 6 is 100 degrees.

c. 4, 80

- Knowing a straight line is 180 degrees and all other angles are 100 degrees, I subtracted 180-100 = 80 degrees

Step-by-step explanation:

Everything was explained above, but be sure to know...

       N

W             E

       S

- Hope that helps! Please let me know if you need further explanation.

Answer:

x=1 .

Step-by-step explanation:

b on edge 2020  

The width of the rectangular swimming pool is 14 yards.

To find the width of the rectangular swimming pool, we can use the formula for the perimeter of a rectangle, which is P = 2(length + width). Given that the perimeter is 70 yards and the length is 21 yards, we can rearrange the formula to solve for the width:

P = 2(21 + w)

70 = 2(21 + w)

Divide both sides by 2:

35 = 21 + w

Subtract 21 from both sides:

14 = w

Therefore, the width of the swimming pool is 14 yards.

Answer:

$807.554098

Step-by-step explanation:

Answer:

Profit is PRICE — COST

so;

[tex]452(5.45 - 3.05) \times 6[/tex]

hope u understand!

Answer:

6[tex]x^{4}[/tex] + 5x³ - 9x² + 2x

Step-by-step explanation:

Given

(3x² - 2x)(2x² + 3x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

= 3x²(2x² + 3x - 1) - 2x(2x² + 3x - 1) ← distribute both parenthesis

= 6[tex]x^{4}[/tex] + 9x³ - 3x² - 4x³ - 6x² + 2x ← collect like terms

= 6[tex]x^{4}[/tex] + 5x³ - 9x² + 2x

Answer: Arthur Stanley Eddington's 1919 expedition confirmed Einstein's prediction for the deflection of light by the Sun during the total solar eclipse of 29 May 1919 which helped to cement the status of general relativity as a true theory. Since then many observations have confirmed the correctness of general relativity.

Hope this helps. Also gimme brainliest.

Answer:

314.16 : 100

Step-by-step explanation:

brainliest?

Answer: about 1:8

Step-by-step explanation: volume of the cone is about 314.16 and the volume of the square pyramid is about 2500 and 314.16 is about 314

314/2500 = .1256 or .125 = 1/8

Answer:

4.24

Step-by-step explanation:

Since it is the midpoint, it means that the entire diagonal will measure twice, that is 3 * 2 = 6

To calculate the length of the sides, we can do it by means of Pythagoras, since it is a square a = b

c ^ 2 = a ^ 2 + b ^ 2

c ^ 2 = 2 * a ^ 2

6 ^ 2 = 2 * a ^ 2

a ^ 2 = 36/2

a = 4.24

therefore, it means that the sides of the square measure 4.24

Answer:

Answer: C (3rd option)

Step-by-step explanation:

E2020

Answer:

6

Step-by-step explanation:

add all up (is 48), then divide by 8

hope this helped :))

Answer:

6

Step-by-step explanation:

To find the mean

Add up all the number

(2+6+9+8+6+6+3+8) = 48

Divide by the number of numbers

48/8 = 6

Answer:

1/2

Step-by-step explanation:

1/2 of 1/4 is 1/8

so 1/8 + 3/8 is 4/8

4/8 = 1/2

Answer:

1/2

Step-by-step explanation:

1/2t +3/8

Replace t with 1/4

1/2 x 1/4   +    3/8        (the x is the multiplication symbol)

Then multiply 1/2 and 1/4

1/8 +3/8

Then add.

4/8 = 1/2

P.S.

Hope this helps you and explains the answer! Have a great day and stay safe!

Answer:

A = 8   B = -2   C = -3

Step-by-step explanation:

The standard form for a quadratic equations is

Ax^2 + Bx +C =0

8x2 - 2x-3=0

A = 8   B = -2   C = -3

Answer:

3 spaces backwards, if you still need it.

Step-by-step explanation:

The mathematical expectation for the game described is -3 spaces, indicating that on average, a player will move 3 spaces backward per turn.

Expected Value Calculation:

To calculate the mathematical expectation for the number of spaces moved in one turn in the game described, we must consider all possible sums of the two spins and their outcomes. These outcomes are moving backward 6 spaces if the sum is even, or moving forward 2 spaces if the sum is odd. With a fair four-segment spinner that has equal likelihood for landing on numbers 1, 3, 5, and 6, we can calculate each possible sum and its associated probability.

The probability of spinning an even sum is the number of even outcomes divided by the total number of outcomes (10/16). Similarly, the probability of spinning an odd sum is the number of odd outcomes divided by the total number of outcomes (6/16).

The expected value of moving spaces is therefore calculated by multiplying each sum outcome probability by the spaces moved for that outcome, and then summing these products:

Expected value = (Probability of even sum * -6 spaces) + (Probability of odd sum * 2 spaces)

= (10/16 * -6) + (6/16 * 2)

= (-60/16) + (12/16)

= (-48/16)

= -3

Thus, the mathematical expectation for the number of spaces moved in one turn is -3 spaces.

Answer:

I want brainliest!!!   :)

Step-by-step explanation:

That angle is 90 degrees

x+18+x=90

2x=72

x=36

Answer:

Subtract

Step-by-step explanation:

Subtract to eliminate the y value so all that is left to slove is the x value. Once you have the x value, you can plug it in to find the y value.

Answer:

Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.

Step-by-step explanation:

We can solve this by using simultaneous equations:

Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

Equation 1: 0.5a + 0.8b = 0.59(a+b)

Equation 2: a + b = 2000

From equation 2, a = 2000 - b (Let's call this equation 3)

    2. Substituting equations 2 and 3 in Equation 1:

0.5a + 0.8b = 0.59(a+b)

0.5(2000 - b) + 0.8b = 0.59(2000)

1000 - 0.5b + 0.8b = 1180

0.3b = 180

b = 600

Substitute in equation 3:

a = 2000 - 600

a = 1400

As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

Final answer:

To create 2,000 liters of a cleanser blend sold at 59 cents per liter, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser, using a system of equations.

Explanation:

How to Mix Cleansers for a Desired Cost

To solve this problem, we need to set up a system of equations that reflects the cost and the quantity of the blend we want to obtain. Let's assign x to represent the amount in liters of the 50 cents per liter cleanser and y to represent the amount in liters of the 80 cents per liter cleanser.

Following the premise of the problem, we have two equations:

The total amount of the mixture should be 2,000 liters:

x + y = 2,000

The cost for the blend per liter is 59 cents, so the total cost for 2,000 liters would be 2,000 * $0.59. The sum of the individual costs of cleansers multiplied by their respective volumes should equal this total cost:

0.50x + 0.80y = 2,000 * $0.59

Solving this system of equations, we find that:

x = 800 liters of the 50 cents cleanser

y = 1,200 liters of the 80 cents cleanser

Thus, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser to obtain 2,000 liters of the blend sold for 59 cents a liter.

Answer:

x=6

Step-by-step explanation:

hope this helps:)

Answer:

It depends. If x is part of the denominator, then x=1/6. If it is x/2, x=6

Step-by-step explanation:

1/(1/3)=3

1/3*1/2=1/6

x/2=3

2*3=6

Answer:

9x⁵ · 25x⁶

Step-by-step explanation:

(3x³)²·(25x⁶)·[tex]\frac{1}{2}[/tex] =9x⁵ · 25x⁶

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Final answer:

The simplified expression equivalent to ((3x^3)^2 · (25x^6)^{1/2}) is 45x^9. This is obtained by applying exponent rules, such as power to a power and multiplying terms with the same base resulting in the addition of their exponents.

Explanation:

The expression in question is (3x^3)^2 · (25x^6)^{1/2}. To simplify this expression, we need to apply the exponent rules. When we raise a power to a power as in (a^m)^n, the exponents are multiplied, so (3x^3)^2 becomes 3^2 · x^{3×2}, which simplifies to 9x^6.

Next, taking the square root, which is the same as raising to the power of 1/2, we apply it to (25x^6)^{1/2}. The square root of 25 is 5, and raising x^6 to the 1/2 power gives x^{6×1/2}, or x^3. Therefore, we have 5x^3 as the simplified result of (25x^6)^{1/2}.

Multiplying these results together, we combine 9x^6 and 5x^3. When we multiply terms with the same base, we add their exponents, therefore we get 9×5 · x^{6+3}, resulting in 45x^9.

Answer:

6

Step-by-step explanation:

3miles=30mins

? miles=60mins

=6miles

Step-by-step explanation:

It is given that,

The diameter of a tennis ball is 2 cm and the diameter of the softball is 1 cm. So, radius of tennis ball is 1 cm and radius of softball is 0.5 cm.

Both balls are in the shape of sphere. Half of the balls will becomes hemisphere. The surface area of hemisphere is given by :

[tex]A=2\pi r^2[/tex]

Taking ratio of both balls, i.e.

[tex]\dfrac{A_1}{A_2}=\dfrac{r_1^2}{r_2^2}[/tex]

[tex]\dfrac{A_t}{A_s}=\dfrac{r_t^2}{r_s^2}\\\\\dfrac{A_t}{A_s}=\dfrac{1^2}{(0.5)^2}\\\\\dfrac{A_t}{A_s}=4[/tex]

So, the surface area of a half of the tennis ball is 4 times of he surface area of a half of the softball.

The surface area of half of a tennis ball is 4 times greater than the surface area of half of a softball.

To find how many times greater the surface area of half of a tennis ball to that of half of a softball is, we need to use the formula for the surface area of a sphere: Surface Area = 4πr².

Since we are dealing with half-spheres, we can halve this formula, so the surface area of the half-sphere is 2πr².

First, we calculate the surface area for half of a tennis ball. The radius of the tennis ball is 2 cm / 2 = 1 cm. Thus, the surface area is:

Surface Area of Tennis Ball Half-Sphere = 2π(1)² = 2π cm²

Next, we do the same for the softball. The radius of the softball is 1 cm / 2 = 0.5 cm. Therefore, the surface area of half of the softball is:

Surface Area of Softball Half-Sphere = 2π(0.5)² = 0.5π cm²

To find the ratio of the tennis ball surface area to the softball surface area, we divide the two results:

(2π) / (0.5π) = 4

Thus, the surface area of half of a tennis ball is 4 times greater than that of half of a softball.