Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of radius 3.
On = 31/2,w=
- 3/2
On - 3√2, w = 3/2
Oh = 12, w = 312
W
Oh=312. W = 2

Answer:

[tex]x=20\\\\m\angle B = 92^{\circ}\\\\m\angle C = 40^{\circ}[/tex]

Step by step explanation:

[tex]~~~m\angle A +m\anglee B + m\angle C =180^{\circ}\\\\\implies 48+6x-28+2x = 180\\\\\implies 8x +20 = 180\\\\\implies 8x = 180 -20 = 160\\\\\implies x = \dfrac{160}8=20\\\\\\m\angle B = (6x -28)^{\circ} = (6\cdot 20 -28)^{\circ}=92^{\circ}\\\\m\angle C = (2x)^{\circ} = (2\cdot 20)^{\circ}=40^{\circ}[/tex]

Answer:

(a) Since the upper limit of the 99% confidence interval is less than

Step-by-step explanation:

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.

Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Thus,

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

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Answer:

B. -- investing activities

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

I think it true?

I is correct?

my brainlist answer please. <:(

Answer:

$0.80

Step-by-step explanation:

$23.60 divided by 29.5cm = $0.80 per cm.

Answer:

A have no right angles and B had all right angles.

Answer:

range = 27

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest = 95 , smallest = 68

range = 95 - 68 = 27

Answer:

46

Step-by-step explanation:

Answer:

Rectangular Prism

as Opposite sides are equal

Answer:

Answer:

Infinitely many solutions

Step-by-step explanation:

(1) ---- 6x - 4y = 9

(2)---- 12x - 8y = 18

If you multiply (1) by 2 → 12x - 8y = 18 --- (3)

and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions

Answer:

Infinitely Many Solutions!!

Step-by-step explanation:

You need to do elimination method!!

This is because we need to top the equation to cancel out and become negative.  

6x−4y=9

12x−8y=18

You could do 6x and everything multiplied by -2. But 4y can do the same too!!

I rather do 4y x -2!

-12x+8y=-18

12x−8y=18

Everything cancels out!!

0=0

But 0 equals to 0 goes on forever so the answer is infinite solutions!!

**The reasoning behind the two other choices**

No solution would be like -3=0 which is not our case!!

One solution has something that goes into everything evenly!

Answer:

Step-by-step explanation:

solve for variable x.

move the term containing x to the left and the rest to the right.

add -2y to each side of the equation.

 -13 +2y + -2y = 29 + -2y

combine like terms; 2y + -2y = 0

     -13x + 0 = 29 + -2y

          -13x = 29 + -2y

divide each side by -13 and then simplify;

x = -2.23 + 0.15

x = 2.38

Answer:

13/5

Step-by-step explanation:

Given:

Substitute the values into the expression:

⇒ 1/2(m ÷ 3) + n

⇒ 1/2(12 ÷ 3) + 3/5

Simplify the expression:

⇒ 1/2(12 ÷ 3) + 3/5

⇒ 1/2(4) + 3/5

⇒ 1/2 x 4 + 3/5

⇒ 2 + 3/5

Make common denominators:

⇒ 2 + 3/5

⇒ (2 x 5/1 x 5) + 3/5

⇒ 10/5 + 3/5

Simplify by adding:

⇒ 13/5

The percent of container B that is left after pumping the water of Container A full in it is 40 per cent .

Step by step explanation :

Given -

To find -

The percent of container B that is left after pumping the water of Container A full in it.

Solution -

Firstly, we have to find how much water each container can hold i.e. volume of containers .

We know that -

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

For Container A

Given, diameter = 6 feet

.•. Radius = [tex] \frac{6}{2} [/tex]

[tex] = 3 \: \mathfrak{feet}[/tex]

Height = 18 feet

•.• Volume of Container A = [tex] \frac{22}{7} \times {3}^{2} \times 18[/tex]

[tex] = \frac{22}{7} \times 3 \times 3 \times 18[/tex]

[tex] = \frac{3564}{7} [/tex]

[tex] = 509.142857 \:{ft.}^{3} \mathfrak{(approximately)}[/tex]

Rounding off to the nearest tenth . ..

[tex] => 510 \: \mathfrak{ {feet}^{3} }[/tex]

For Container B

Given, Diameter = 8 feet

.•. Radius = [tex] \frac{8}{2} [/tex]

[tex] = 4 \: \mathfrak{feet}[/tex]

Height = 17 feet

•.• Volume of Container B = [tex] \frac{22}{7} \times {4}^{2} \times 17[/tex]

[tex] = \frac{22}{7} \times 4 \times 4 \times 17[/tex]

[tex] = \frac{5984}{7} [/tex]

[tex] = 854.857143 \: {ft.}^{3} \mathfrak{(approximately)}[/tex]

Rounding off to the nearest tenth. ..

[tex] => 850 \: \mathfrak{ {feet}^{3} }[/tex]

Now,

Volume container B that is left after pumping the water of Container A in it = Volume of Container B - Volume of Container A

= ( 850 - 510 ) ft^3

= 340 ft^3

Now ,

The percent of container B that is left after pumping the water of Container A in it = Volume container B that is left after pumping the water of Container A /Total volume of Container B × 100

[tex] = \frac{340}{850} \times 100[/tex]

Answer:

24 inches

Step-by-step explanation:

the perimeter of a square with a side measurement of 6 inches is equal to 24 inches.

Answer:

C

Step-by-step explanation:

2(1/2+3/4)+6=

17/2 or 8.5

The answer is C

Answer:

Option C

Step-by-step explanation:

Given:

[tex]y = 2[/tex]

[tex]z = \dfrac{3}{4}[/tex]

Substitute the values into the expression:

⇒ y(1/2 + z) + 6

⇒ 2(1/2 + 3/4) + 6

Make common denominators in the parenthesis:

⇒ 2(1/2 + 3/4) + 6

⇒ 2(2/4 + 3/4) + 6

Simplifying the expression:

⇒ 2(5/4) + 6

⇒ 2 × 5/4 + 6

**Keep in mind that multiplication first, then addtion

⇒ 10/4 + 6

Make common denominators:

⇒ 10/4 + 24/4

⇒ 34/4

Simplify the fraction:

⇒ 17/2 (Option C)

Answer:

The area is 4.

Step-by-step explanation:

hope this helps.

first number: x

second number: x -4

Answer:

[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} \\ \\ \frac{x}{3} + \frac{12}{3} = \frac{4x - 1}{5} \\ \\ \frac{x + 12}{3} = \frac{4x - 1}{5} \\ \\ 3(4x - 1) = 5(x + 12) \\ \\ 12x - 3 = 5x + 60 \\ \\ 12x - 5x = 60 + 3 \\ \\ 7x = 63 \\ \\ x = \frac{63}{7} \\ \\ x = 9[/tex]

Answer:

50

Step-by-step explanation:

We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.

Answer:

First, we must know the formula for the area of a circle.

The formula for the area of a circle is;

Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.

R(radius) = 4 feet.

So,

A = π[tex]r^{2}[/tex]

Will be;

A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".

Simplify:-

A = 3.14(16)

A = 50.24 feet is the area.

Answer: hii

There are no values of x

that make the equation true.

Step-by-step explanation:

No solution.

hopefully this helps you.

- Matthew

Answer:

sorry the image isnt clear

Answer:

Can you post it again but clearer

Answer:

Part (a)

Given quadratic: [tex]y=x^2+2x-8[/tex]

Factored form

To factor, find two numbers that multiply to -8 and sum to 2: 4 and -2

Rewrite the middle term of the quadratic as the sum of these number:

[tex]\implies y=x^2+4x-2x-8[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies y=x(x+4)-2(x+4)[/tex]

Factor out the common term [tex](x+4)[/tex]:

[tex]\implies y=(x-2)(x+4)[/tex]

Zeros

The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0

[tex]\implies y=0[/tex]

[tex]\implies (x-2)(x+4)=0[/tex]

[tex]\implies (x-2)=0\implies x=2[/tex]

[tex]\implies (x+4)=0\implies x=-4[/tex]

Therefore, the zeros are 2 and -4

Vertex

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\textsf{midpoint}=\dfrac{-4+2}{2}=-1[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

[tex]y=(-1)^2+2(-1)-8=-9[/tex]

Therefore, the vertex is (1, -9)

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

Part (b)

Given quadratic:  [tex]y=-x^2-9x-14[/tex]

Factored form

To factor, first factor out -1:

[tex]y=-(x^2+9x+14)[/tex]

Now find two numbers that multiply to 14 and sum to 9: 7 and 2

Rewrite the middle term of the quadratic as the sum of these number:

[tex]y=-(x^2+2x+7x+14)[/tex]

Factorize the first two terms and the last two terms separately:

[tex]y=-(x(x+2)+7(x+2))[/tex]

Factor out the common term [tex](x+2)[/tex]:

[tex]y=-(x+7)(x+2)[/tex]

Zeros

The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0

[tex]\implies y=0[/tex]

[tex]\implies -(x+7)(x+2)=0[/tex]

[tex]\implies -(x+7)=0 \implies x=-7[/tex]

[tex]\implies (x+2)=0 \implies x=-2[/tex]

Therefore, the zeros are -7 and -2

Vertex

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\textsf{midpoint}=\dfrac{-7+(-2)}{2}=-4.5[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

[tex]y=-(-4.5)^2-9(-4.5)-14=6.25[/tex]

Therefore, the vertex is (-4.5, 6.25)

Answer:

38.95%

Step-by-step explanation:

profit%= profit/cost price ×100

37/95×100

0.38×100

profit%=38.95

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

We're given:

Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.

On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.

The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.

y = 5x - 4

A vertical line going through any given point would pass through the x-coordinate.

In this case, the x-coordinate is 3. Therefore, the vertical line that would pass through the point (3, 5) is x = 3.

Hope this helps!

Answer:

The one to the upper right, with a triangle on opposite ends of both sides. It looks like the one in the photo I included.

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Step-by-step explanation:

Diameter is 18

So radius will be d/2 which is 9

As the formula of area is

[tex] \pi{\r}^{2} [/tex]

So put the vales

We get s

254

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.

Therefore, the hypotenuse side is the bridge length.

c² = a² + b²

where

Hence,

c² = 1170² + 520²

c² = 1368900 + 270400

c = √1639300

c = 1280.35151423

The bridge is the prefered option when the cost is within $1500. Therefore,

cost of the bridge = 11 × 1280.35151423 = $14083.87

Therefore, the bridge is not the prefered option

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