The area of a rectangular garden is 8811 ft?. If the length of the garden is 99 feet, what is its width?

The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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Answer: whats the question tho

Step-by-step explanation:

Answer:whats the question

Step-by-step explanation:

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

\(\frac{2}{6}\)  Divide the top and the bottom by the greatest common factor which is 2

\(\frac{2}{6}\) ÷\(\frac{2}{2}\) =\(\frac{1}{3}\)

Answer:

1 : 3

Step-by-step explanation:

2 : 6

Divide by 2 for both numbers which gives you 1 : 3

Answer:

\({ \tt{formular : {area = \pi {r}^{2} }}} \\ area = 3.14 \times {14}^{2} \\ \\ { \bf{answer : { \tt{area = 615.75 \: {cm}^{2} }}}} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}\)

Answer:

A≈ 615.75 \(cm^{2}\)

Step-by-step explanation:

A= \(\pi\)\(r^{2}\)

A= \(\pi\)·\(14^{2}\)

A≈ 615.75216 \(cm^{2}\)

The ratio of football to total equipment is 3/ 7

Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.

It explains how many times one number contains another.

From the diagram shown, we have:

Ratio of football to total equipment is;

= 6/ 6 + 2 + 6

= 6/ 14

Find common divisor

= 3/ 7

Thus, the ratio of football to total equipment is 3/ 7

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Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

12+40= 52

180-52=128

Step-by-step explanation:

Angles in a triangle add up to 180

so if two sides are given , they must be added and subtracted from 180.

which gives us 180-52=128

Answer:

the angle is 128°

the right answer is C

Step-by-step explanation:

the angles of a triangle are always 180°

thus

the angle of the the triangle = 180° - (12°+40°)

= 180- 52° = 128°

The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.

Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.

In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.

Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:

x^2 + x^2 = (16√2)^2

2x^2 = 512

Dividing both sides by 2, we have:

x^2 = 256

Taking the square root of both sides:

x = √256

x = 16 cm

So, the length of each side of the square is 16 cm.

To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:

Perimeter = 4 * 16 cm = 64 cm

To find the area of the square, we square the length of one side:

Area = (16 cm)^2 = 256 cm^2

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Note the complete question is:

Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?

NOTE: sorry if im wrong

ANSWER: C.

Answer:

a)

c)

d)

Step-by-step explanation:

a) true : from inspection of the graph, when h=0, g=50, so g(0)=50

b) false : we are told that h is hours after 8:00am.  Therefore, when h=12, this would be 8:00pm

c) true : from inspection of the graph, the maximum temperature occurs when h=7. We are told that h is hours after 8:00am, so when h=7 this would be 15:00 = 3.00pm

d) true : from inspection of the graph, we can see that when h=11, g≈62 and when h=8, g≈74.  Therefore g(11) < g(8)

e) false : at 8.00am, h=0 and g=50.  At 1.00pm, h=5 and g≈71.  71-50=21.  21≠10.

Answer:

98

Step-by-step explanation:

The question was incomplete. Below you will find the missing parts of the question.

The company actually loses money on their first few products as it costs them more to make them, but once they hit  ?   they break even again. The worst case scenerio is that they produce  ?   items, as they will have a profit of  ?   dollars. The first root tells us that the profit will be 0 when  ?   products are sold.

Answer: The company actually loses money on their first few products as it costs them more to make them, but once they hit  150   they break even again. The worst case scenerio is that they produce  75   items, as they will have a profit of  10000   dollars. The first root tells us that the profit will be 0 when  0   products are sold.

Because the roots are x = 0 and 150, the vertex is (75, 10000).

So, the function is y = \(-\frac{10000}{5625}(x-75)^{2} +10000\)

When, y = 0,

\(0=-\frac{10000}{5625} (x-75)^{2} +10000\)

⇒ \(\frac{10000}{5625} (x-75)^{2}=10000\)

⇒ \((x-75)^{2} = 10000(\frac{5625}{10000})\)

⇒ \((x-75)^{2} = 5625\)

⇒ \(x-75=75\)

⇒ x = 150

When y=0, then x =150, their income was in balance.

When x = 75, then y=10000, they will have a profit of 10000 dollars.

The first root tells us that the profit will be 0 when 0 products are sold.

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Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

Given:

\(\sf y = 4x + 5\)

Switch x and y.

\(\sf x = 4y + 5\)

Solve for y.

\(\sf 4y = x - 5\)

\(\sf y = \dfrac{1}{4} \ x-\dfrac{5}{4}\)

\(\Rightarrow\boxed{\sf y = \dfrac{1}{4} \ x-\dfrac{5}{4}}\)

To find (g+h)(t), we need to add the two functions g(t) and h(t) together, which means adding their respective outputs for any given input   \(t. (g+h)(t) = t^2 - 3t - 2.\)

First, let's write out the functions:

\(g(t) = -2t - 4\)

\(h(t) = t^2 + 2 - t\)

Now, we can add them together:

\((g+h)(t) = g(t) + h(t)\)

\(= (-2t - 4) + (t^2 + 2 - t)\)

\(= t^2 - 3t - 2\)

Therefore, the function (g+h)(t) is given by the equation:

\((g+h)(t) = t^2 - 3t - 2\)

This function is a quadratic polynomial in t, with the coefficient of the t^2 term being 1, the coefficient of the t term being -3, and the constant term being -2.

To find (g+h)(t), we simply add the two functions g(t) and h(t) together and simplify:

\((g+h)(t) = g(t) + h(t)\)

\(= (-2t-4) + (t^2 + 2 - t)\)

\(= t^2 - 3t - 2\)

Therefore,  \((g+h)(t) = t^2 - 3t - 2.\)

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Total expenses annual

Annual budget muSt be 5792$

Monthly budget:-

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

-5 is the x and 10/3 is the y i think

Step-by-step explanation:

Answer:

3 3/20 or 63/20

Step-by-step explanation:

The required net price using the net price factor is given as  $1829.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
A catering company buys some items with a list price of $5,000. The supplier extends trade discount rates of 45/30/5,

Net price is given as,
net price = 5000 × [1 - 0.45] × [1 - 0.30] × [1 - 0.05]
net price = $1829

Thus, the required net price using the net price factor is given as  $1829.

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Answer:

simple.

Step-by-step explanation:

If you know the angle of a straight line, its 180. first, subtract 180-135. this wqould be 45. therefore, the interior angle is 45. We know that a triangles area always adds to 180, so it would be 45+x+74=180. this would be x=61. to check, add the same thing, 45+74, but instead of x add 61.

Answer:

No. He will not have enough dog food for 27 days.

Step-by-step explanation:

If he only has 18 cups and he feeds one cup to his dog everyday. He will not have enough for 27 days. he will only have enough for 18.

All of the outside angles added together are 360 so it would be 7x+49+6x+33+83=360

13x+165=360

13x=195

x=15

Answer:

B: 9

Step-by-step explanation:

First plug in the numbers to the equation

\(\frac{1}{4} (c^{3} + d^{2})\)

\(\frac{1}{4} (-4^{3} + 10^{2})\)

Then use PEMDAS to solve

\(\frac{1}{4} (-4^{3} + 10^{2})\)

\(\frac{1}{4} (-64 + 100)\)

\(\frac{1}{4} (36)\)

9

Answer:

3/17

Step-by-step explanation:

-2x + 3(-5x + 1)

-2x -15x +3

-17x + 3

17x = 3

x = 3/17

If y varies inversely as x, we can write the relationship between x and y as:

y = k/x

where k is a constant of proportionality. To find k, we can use the given information that y = 5 when x = 2:

5 = k/2

Solving for k, we get:

k = 10

Now we can write the equation that relates x and y:

y = 10/x

To find y when x = 6, we substitute x = 6 into the equation:

y = 10/6 = 5/3

Therefore, when x = 6, y = 5/3.

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Answer:

C. x=2 ± √13

Explanation:

Answer:Godo luck!

Step-by-step explanation:

Order of the side lengths EF, FG, and GE from least to greatest is EF < FG < GE.

When the lengths of two sides and the size of the included angle are known (SAS) or when the lengths of all three sides are known (SSS), the Law of Cosines can be used to determine the remaining components of an oblique (non-right) triangle. We are unable to establish a solvable percentage in either of these scenarios, making it impossible to apply the Law of Sines.

According to the Law of Cosines:

c² = a² + b² - 2ab * cos(C)

With the exception of the third component, which equals zero if C is a straight angle and the Pythagorean Theorem results, this is similar to the Pythagorean Theorem. As a result, the Law of Cosines is a specific case of the Pythagorean Theorem.

Using the Law of Cosines

In the given triangle, we are given the measure of angle G and the length of side FG, so we can use the Law of Cosines to find the lengths of the other sides. The Law of Cosines states that for a triangle with sides a, b, and c and angle C opposite side c, the relationship between the sides and the angle is:

c² = a² + b² - 2ab * cos(C)

Given: angle G = 72°, FG = 6

We can use the Law of Cosines to find the lengths of the other sides:

EF² = FG² + GE² - 2FG * GE * cos(G)

EF = √(6² + GE² - 2 * 6 * GE * cos(72))

FG² = EF² + GE² - 2EF * GE * cos(F)

FG = √(EF² + GE² - 2 * EF * GE * cos(66))

As we don't have any value for GE, we can't calculate the exact values, but as we know that the side opposite to the largest angle is the longest side of a triangle, so we can order the sides as follows:

EF < FG < GE

It means that side GE is the longest side of the triangle, followed by side FG, and side EF is the shortest side of the triangle.

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