The perimeter of a triangle is 57 inches. Twice the length of the longest side minus the length of the shortest side is 22 inches. The sum of the length of the longest side and twice the sum of both the other side lengths is 94 inches. Find the side lengths

Answer:

A = 50.2 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = (3.14) * 4^2

A =50.24

To 1 decimal place

A = 50.2 cm^2

Answer:

50.3 cm^2 to 1 dec. place.

Step-by-step explanation:

Area = pi r^2

= pi * 4^2

= 16 * pi

= 50.265

Answer:

a. H0: μ<14

H1: μ≥14

Step-by-step explanation:

Mean symbol:

The mean symbol is given by [tex]\mu[/tex]

A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz.

At the null hypothesis, we test if the proportion is of less than 14 oz, that is:

[tex]H_0: \mu < 14[/tex]

At the alternative hypothesis, we test if this proportion is of at least 14 oz, that is:

[tex]H_1: \mu \geq 14[/tex]

So the correct answer is given by option a.

Answer:

if he is the to form a 666

Step-by-step explanation:

what

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I

want to

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a

story

about

I

2

2

The amount of time needed to complete a job by 5 workers is

40 minutes.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The amount of time needed to complete a job, t, varies inversely with the number of workers.

Number of workers = W

Time to complete 1 work  = T

This means,

T = 1 / W

W = 1 / T

10 workers can complete a job in 20 minutes.

This can be written as:

10 W = 1 / 20

Divide 10 on both sides.

1 W = 1 / 200

This means,

1 worker can complete a job in 200 minutes.

Now,

1 W = 1/ 200

Multiply 5 on both sides.

5 W = 5/200

5 W = 1 / 40

This means 5 workers will take 40 minutes to complete the work.

Thus,

The amount of time needed to complete a job by 5 workers is

40 minutes.

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Answer:

The interval that contains the middle 68% of the heights is between 59 and 67 inches.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 63, standard deviation of 4.

The interval that contains the middle 68% of the heights.

By the Empirical rule, within 1 standard deviation of the mean. So

63 - 4 = 59

63 + 4 = 67

The interval that contains the middle 68% of the heights is between 59 and 67 inches.

Answer:

381 cm³

Step-by-step explanation:

Volume of the pot = volume of a cylinder

Volume of the pot = πr²h

Where,

π = 3.14

radius (r) = 4.5 cm

h = 6 cm

Substitute

Volume of the pot = 3.14*4.5²*6

Volume of the pot = 381.51 ≈ 381 cm³ (nearest whole number)

9514 1404 393

Answer:

  D.  21/2

Step-by-step explanation:

It is probably easiest to add up the three terms.

For n=1, the first term is ...

  8(1/4)^(0) = 8

The second term is ...

  8(1/4)^1 = 2

The third term is ...

  8(1/4)^2 = 8/16 = 1/2

The sum of the series is ...

  8 + 2 + 1/2 = (16 +4 +1)/2 = 21/2

Answer:

[tex]0.\overline{369} = \frac{41}{111}[/tex]

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

[tex]x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}[/tex]

Answer:

4653

Step-by-step explanation:

I am not sure if that 47 in also in litres but if yes then

step 1

1litre=99p

47litre=?

step2

cross multiply such that

47litre × 99p

step3

devide by by 1litre

47litre ×99p

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

1litre

so litre counsels litre then your answer will be in pounds so 47×97p÷1=4653

Answer:

What do you mean

Step-by-step explanation:

Answer:

multiplication rule

Step-by-step explanation:

because 6 * 3p

is equal to 18p

hope this helps you please like and mark as brainliest

Answer:

its b because when subtract 30-24=6

Answer:

7x + 14

Step-by-step explanation:

the first thing to do is expand the parentheses/brackets.

3(5x + 2) -2(4x - 4) will be

3(5x) + 3(2) -2(4x) -2(-4)

= 15x + 6 - 8x + 8

collect like terms

15x - 8x + 6 + 8 = 7x + 14

the answer is 7x + 14

Answer:

3(5x+2)-2(4x-4)

15x+6-8x+8

15x-8x+6+8

7x+14

Answer:

a) A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

b) attached below ( Matrix dose not exist )

c) attached below  ( Matrix does not exist )

Step-by-step explanation:

a) Matrix

A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

From the matrix ; Column 1 and Column 2 Belong to COL(A)

while : (1,1)^T  =  ( 1,0 )^T +  ( 0,1 )^T  i.e. (1,1)^T  ∈  Row( A )

and (1, 2)^T. = ( 1,0 )^T + 2 ( 0,1 )^T   i.e. (1, 2)^T  ∈  Row( A )

Hence ; all requirements are fulfilled in Matrix A

b)  The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T

Matrix is Non-existent because condition is not met

attached below

c) Rank | A |

dimension of column space= 4 , dimension of Row space = 3

Given that ; column space ≠ Row space

Hence Matrix does not exist

Answer:

2.28°

3.28°

4.28°

5.114°

6.180°

7.114°

8.332°

9.322°

10.152°

Step-by-step explanation:

The required measure of the angles are given as,
2] 28°       3]  28°     4]  28°      5]  114°   6]  180°   7]  114°   8] 332°   9]  322° and   10]  152°.

Given that,
In circle P, m WPX = 28 degrees, m ZPY = 38 degrees. ZW and VX are diameters. Find each angle measure.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

The diameter of the circle has a measure of angle 180°,
So, mVXZ = 180°,
Since,
mVZ = mWX
mVZ = 28°
Similarly, all the angles can be evaluated,

Thus, the required measure of the angles are given as,
2] 28°       3]  28°     4]  28°      5]  114°   6]  180°   7]  114°   8] 332°   9]  322° and   10]  152°.

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Answer: C

Step-by-step explanation:

See diagram above

Answer:

429

Step-by-step explanation:

312/800 = .39

1100 x .39 = 429

Answer:

$429

Step-by-step explanation:

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

[tex]\frac{312}{800} =\frac{x}{100}[/tex]

Cross multiply

[tex]800x=31200[/tex]

Divide both sides by 800

[tex]x=39[/tex]

So, Niu earned 39% on the investment of $800

So, let's find out how much $1,100 would have earned him in the same investment.

--------------->>>>

[tex]\frac{x}{1100}=\frac{39}{100}[/tex]

Cross multiply

[tex]100x=42900[/tex]

Divide both sides by 100

[tex]x=429[/tex]

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

This means that Niu $1,100 would have earned Niu $429 in the same investment.

Hope this is helpful

Answer:

ok

Step-by-step explanation:

Answer:

[tex]{ \boxed{ \tt{trig \: identity : { \bf{ { \cos}^{2} A + { \sin }^{2} A = 1}}}}} \\ \therefore \: { \green{ \tt{ \sin A = \sqrt{1 - { \cos }^{2}A } }}} \\ \sin A = \sqrt{1 - {( \frac{3}{4}) }^{2} } \\ \sin A = \frac{ \sqrt{7} }{4} = 0.661 \\ \\ { \green{ \tt{ \tan A = \frac{ \sin A }{ \cos A} }}} \\ \tan(A ) = \frac{ \frac{ \sqrt{7} }{4} }{ \frac{3}{4} } = \frac{ \sqrt{7} }{3} = 0.882 \\ \\ { \underline{ \blue{ \tt{ becker \: jnr}}}}[/tex]

The exact values of sin (A) and tan ( A)​ are 0.661 and 0.882 respectively.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We have been given that 270º < AS 360° and cos(A)= 3/4.

We are required the exact values of sin (A) and tan ( A)​

Since, cos(A)= 3/4.

cos ²A + sin² A = 1

sin A = √ 1- cos ²A

sin A = √ 1-  (3/4) ²

Sin A = 0.661

Tan A = sin A / Cos A

Tan A = 0.661/ 3/4 = 0.882

Hence, the exact values of sin (A) and tan ( A)​ are 0.661 and 0.882 respectively.

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Answer:

n/5 = 18

Step-by-step explanation:

Quotient means division.

n/5 = 18

Answer:

562,354 votes

Step-by-step explanation:

1/11 of 6,185,894

=>1/11 x 6,185,894

=>562,354

Answer:

x = 7

Step-by-step explanation:    6  25  13  55

since these are similiar triangles the sides of one triangle are equal to the other triangle by the same ratio

The ratio of 90/27  is the same as the (9x-13)/15  ratio

(9x-13)/15 = 90/27

9x - 13  = 15 × 90/27

9x - 13  = 15 × 3 1/3

9x - 13 =   50

9x  =  63

 x = 7

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.

__

Similarly, the point (4, 16) is a local maximum.

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

           = 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

                                     = 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

Answer:

7

Step-by-step explanation:

3x – 4(x - 4) + 4 = 13

=> 3x - 4x + 16 + 4 = 13

=> - x + 20 = 13

=> - x = 13 - 20

=> - x = - 7

=> x = 7

Answer:

x = 7

Step-by-step explanation:

3x – 4(x - 4) + 4 = 13

3x - 4x + 16 + 4 = 13

-x + 20 = 13

-x + 20 - 20 = 13 - 20

-x = -7

(-x = -7)/-1

x = 7

Hope this helps.

Answer:

Step-by-step explanation:

If a point (x, y) is reflected across a line, image of the point will be at the same distance from the line as the original point is.

In fact line of reflection works like a mirror.

In the figure attached,

Distance of point B from the line 'm' = 6 units

Therefore, distance of the image point B' from line 'm' = 6 units (on opposite side of the line of reflection)

Answer:

D

Step-by-step explanation:

For this question, we know that x represents the thousands of square feet in the stadium. We also know that the stadium is 18 thousand square feet. Therefore, the amount of thousands of square feet, or x, is 18. We can then plug 18 in for x in the equation, getting

[tex]C(x) = \frac{7250000}{18+60} \\= \frac{7250000}{78}\\= 92948[/tex]

as our cost

Answer:

D. {-8, -5, 3, 7}

Step-by-step explanation:

__________

Answer:

1/3a

Step-by-step explanation:

[tex] \frac{(a - 3)}{15a} \times \frac{5}{(a - 3)} = \frac{5}{15a} = \frac{1}{3a} [/tex]