Using the converse of Pythagorean Theorem and the law of sines and cosines solve the word problem.

Answer:

The dimensions are lenght = 15 units

And width = 4 units

Step-by-step explanation:

Kindly refer to the attached image for explanations

Answer:

the range is 492

Step-by-step explanation:

to find range you have to subtract the smallest number from the largest number so you would subtract 120 from 612 which gets you 492

Answer:

The range in the following data set is 470.

Step-by-step explanation:

It's easy, you just have to subtract the highest number from the data set with the lowest number.

So the highest value in this data set would be 590 and the lowest number in the list is 120.

So:

Range: 590 - 120 = 470

~hope this helps~

Answer:

41.43%

Step-by-step explanation:

Change:

99 - 70 = 29

% change:

29/70 × 100

= 41.42857143%

Answer:

the equation is f(x)= 2/3x -2. or c

Step-by-step explanation:

you know that it cant be d because the y- intercept is -2 not +2. and you know that it cant be b because it is a positive slope. to find the slope you need to find 2 points that that the line crosses through, like (0, -2) and (3,0). now you see that it goes up 2 and over 3. 2/3

f(x)= 2/3x -2

Answer:

I think it's answer D. (141).  :D

Step-by-step explanation:

30% of the apples weigh less than 141 grams.

The z-distribution, also known as the standard normal distribution or the standard Gaussian distribution, is a probability distribution that is often used in statistics. It is a special case of the normal distribution with a mean of 0 and a standard deviation of 1.

First, we need to find the z-score corresponding to a cumulative probability of 0.30.

Using the z-distribution table, we find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52.

The z-score formula is given by:

z = (x - μ) / σ

Where:

z is the z-score

x is the value we want to find the corresponding z-score for

μ is the mean of the distribution

σ is the standard deviation of the distribution

Rearranging the formula to solve for x:

x = zσ + μ

x = -0.52 (4.2) + 143

x ≈ 140.94

Therefore, 30% of the apples weigh less than 141 grams.

Learn more about z score here:

https://brainly.com/question/31871890

#SPJ2

B is the correct answer.

Answer:

B.

Step-by-step explanation:

Answer:

B. x= -1, x=3

Step-by-step explanation:

4x²-8x -12 =0 /:4

x² - 2x -3=0

x² - 3x + x -3 = 0

x(x-3) + 1(x-3)=0

(x-3)(x+1)=0

x-3 =0 or x+1 =0

x=3 and x = -1

Answer:

$14.04

Step-by-step explanation:

19.50 - 28%·19.50 =

= 19.50 - 28·19.50/100

= 19.50 - 546/100

= 19.50 - 5.46

= $14.04

++-Answer:58

Step-by-step explanation:

Answer:

∠ H = 84°

Step-by-step explanation:

Since HI = IJ then Δ HIJ is isosceles with ∠ IHJ = ∠ IJH, thus

∠IHJ = [tex]\frac{180-134}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23°

Similarly

Since HG = JG then Δ HGJ is isosceles with ∠ GHJ = ∠ GJH, thus

∠ GHJ = [tex]\frac{180-58}{2}[/tex] = [tex]\frac{122}{2}[/tex] = 61°

Thus

∠ H = ∠ GJH + ∠ IHJ = 61° + 23° = 84°

Answer:

3 MIN AND 46 SECONDS. ITHINK BUT DONT QUOTE ME

Step-by-step explanation:

Answer:

x > 2

Step-by-step explanation:

-2x+1 < -3

     -1    -1

-2x < -4

-2x/-2 < -4/-2

x>2

You reverse the sign when dividing by a negative number.

Step-by-step explanation:

x>2

−2x+1<−3

−2x<−3−1

−2x<−4

x>-4/-2

x>4/2

x>2

Answer:

A. $16,500

Step-by-step explanation:

82500/5

Answer:

B: (-1, 1) and (-6, -1)

D: (1, 0) and (6, 2)

E: (3, 0) and (8, 2)

Step-by-step explanation:

Hope this helps! :D

Answer:

there' yo answer. B,D,E

Answer:

The radius of the cone is 2 cm. Hope this helps!!!

Step-by-step explanation:

Answer:

answer is 2 cm

Step-by-step explanation:

Answer:

(-1/2,1/2)

Step-by-step explanation:

We have  the two endpoints

(-3,-2) and ( 2,3)

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(-3+2)/2 = -1/2 =-1/2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(-2+3)/2 = 1/2

The midpoint is (-1/2,1/2)

Question:

Triangle ABC is a right triangle

The length of BC is 5 units.

The area of ABC is ______ square units.

Cordinates are given below.

A(-9, 10)

B(7, -2)

C(4,-6)

Answer:

50 square units

Step-by-step explanation:

Image to question is attached.

Given:

Length of BC = 5 units

Coordinates:

A = (-9, 10)

B= (7, -2)

C = (4, -6)

Let's take BC as base, and AB as height.

Since we know length of BC, let's find length of AB.

Length of AB =

[tex] \sqrt{(-9 - 7)^2 +(10 + 2)^2 [/tex]

[tex] = \sqrt{(256)+(144) [/tex]

= 20.

Therefore, the area of triangle ABC [tex] = \frac{1}{2} b*h [/tex]

[tex] = \frac {1}{2} * 5 * 20 [/tex]

= 50 square units.

Answer: 50

Step-by-step explanation:

Answer:

[tex]5\,x\,y\,(-x+2-3y)[/tex]

Step-by-step explanation:

Always proceed by first extracting all common factors to all terms:

Notice that the factors: 5, x, and y are present in all terms, so we can extract them from the trinomial:

[tex]-5x^2y+10xy-15xy^2\\5\,x\,y\,(-x+2-3y)[/tex]

Now, the trinomial left (-x+2-3y) cannot be factored out, so then factoring is complete.

Answer:

we know that the most repeated value is mode and here we can see that the most repeated value is 11 that is 20 times so it's mode is 11.

Hope you understood

Answer:

Step-by-step explanation:

part A. area = L X H

9 x 8/9 = 72/9 = 8 square feet

Part B. Draw a line diagonally either between Point A & C or B & D, this would make 2 triangles.

the area of the triangle would be half of the full area so 8 / 2 = 4 feet square

The volume is 201√2 and the surface area is 274.

To solve the problem, we need to calculate both the volume and the surface area of the frustum of a regular square pyramid with given dimensions.

First, let's find the volume of the frustum. The volume V of a frustum of a pyramid can be calculated using the formula:

[tex]\[ V = \frac{1}{3}h(B_1 + B_2 + \sqrt{B_1B_2}) \][/tex]

where h is the height of the frustum, [tex]\( B_1 \)[/tex] is the area of the smaller base, and [tex]\( B_2 \)[/tex] is the area of the larger base.

Given that the edges of the bases are 5 and 9, the areas of the bases are:

[tex]\[ B_1 = 5^2 = 25 \] \[ B_2 = 9^2 = 81 \][/tex]

To find the height , we can use the Pythagorean theorem on the right triangle formed by the slant height, half of the difference of the base edges, and the height of the frustum:

[tex]\[ h = \sqrt{s^2 - \left(\frac{a_2 - a_1}{2}\right)^2} \][/tex]

where s is the slant height, [tex]\( a_1 \)[/tex] is the edge of the smaller base, and [tex]\( a_2 \)[/tex] is the edge of the larger base. Plugging in the given values:

[tex]\[ h = \sqrt{6^2 - \left(\frac{9 - 5}{2}\right)^2} = \sqrt{36 - 4} = \sqrt{32} = 4\sqrt{2} \][/tex]

Now we can calculate the volume:

[tex]\[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (25 + 81 + \sqrt{25 \cdot 81}) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (106 + \sqrt{2025}) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (106 + 45) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot 151 \] \[ V = \frac{1}{3} \cdot 604\sqrt{2} \] \[ V = 201\sqrt{2} \][/tex]

Next, let's calculate the surface area of the frustum. The surface area \( A \) of a frustum is the sum of the areas of the two bases and the area of the lateral surface:

[tex]\[ A = B_1 + B_2 + A_{\text{lateral}} \][/tex]

The lateral surface area [tex]\( A_{\text{lateral}} \)[/tex] can be found using the formula:

[tex]\[ A_{\text{lateral}} = \frac{1}{2}(P_1 + P_2)s \][/tex]

where [tex]\( P_1 \)[/tex] and [tex]\( P_2 \)[/tex] are the perimeters of the smaller and larger bases, respectively, and s is the slant height. Since the pyramid is regular and square:

[tex]\[ P_1 = 4a_1 = 4 \cdot 5 = 20 \] \[ P_2 = 4a_2 = 4 \cdot 9 = 36 \][/tex]

Now we can find the lateral surface area:

[tex]\[ A_{\text{lateral}} = \frac{1}{2}(20 + 36) \cdot 6 \] \[ A_{\text{lateral}} = \frac{1}{2} \cdot 56 \cdot 6 \] \[ A_{\text{lateral}} = 28 \cdot 6 \] \[ A_{\text{lateral}} = 168 \][/tex]

Adding the areas of the bases:

[tex]\[ A = 25 + 81 + 168 \] \[ A = 274 \][/tex]

Therefore, the volume and surface area of the frustum are:

[tex]\[ {V = 201\sqrt{2}} \] \[ {A = 274} \][/tex]

Answer:

Step-by-step explanation:

x² + 29x - 30

Product =  -30

Sum = 29

Factor = 30 * (-1)

x² + 30x  - 1x - 30 = x*(x + 30) -1*(x +30)

      = (x + 30) (x - 1)

Answer:

(x - 30)(x - 1)

That's your answer!!!

Answer:

V=226.195

Step-by-step explanation:

Answer:

226.08

Step-by-step explanation:

because 3.14 times 3 squared times 8 is what it equal

Answer:

I´m pretty sure its all real numbers

Step-by-step explanation:

Well I already know that y=0,and the domain would be (-∞,∞)

hope this helps!

Answer: d. all real numbers!!

Step-by-step explanation:

Edge

Answer:

The volume of the cylinder in feet is

V= 9.43ft³

Step-by-step explanation:

Step one

The formula for the volume of a cylinder is given as

V=πr²h

Where r= radius

h= height

Step two

Given Data

Radius = 1foot

Height = 3 feet

Substituting in our formula we have

V=3.142*1²*3

V= 9.43ft³

Answer:

i just got this question... It was B

3pie ft^3

​​Step-by-step explanation:

Answer:

Standard Form:

2.463

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 2  

+   0.4

+   0.06

+   0.003

Expanded Factors Form:

 2 × 1  

+ 4 ×   0.1

+ 6 ×   0.01

+ 3 ×   0.001

Expanded Exponential Form:

2 × 100

+ 4 × 10-1

+ 6 × 10-2

+ 3 × 10-3

Word Form:

two and four hundred sixty-three thousandths

Question:

Parallelogram f"g"h"j" is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj.  The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)

what are the coordinates of vertex f of parallelogram fghj?

(–2, 2)

(–2, 6)

(–3, 4)

(–4, 2)

Given:

Given that the the coordinates of the parallelogram f''g''h''j'' is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj.

The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)

We need to determine the coordinates of vertex f of parallelogram fghj.

Reflection across y - axis:

The general rule to reflect the coordinate across y - axis is given by

[tex](x,y) \rightarrow (-x,y)[/tex]

Substituting the coordinate f''(3,4), we get;

[tex](3,4)\rightarrow (-3,4)[/tex]

Thus, the coordinates of f'' of reflection across the y - axis is (-3,4)

Translation  T1,2(x, y):

The translation can be performed using the rule,

[tex]T_{1,2}(x,y)=(x+1,y+2)[/tex]

Now, substituting the coordinate (-3,4), we get;

[tex]T_{1,2}(-3,4)=(-3+1,4+2)[/tex]

[tex]T_{1,2}(-3,4)=(-2,6)[/tex]

Thus, the coordinates of vertex F is (-2,6)

Hence, Option b is the correct answer.

The answer is D) (-4,2) on Edge 2020

Answer:

no

Step-by-step explanation:

cant mult. by power of 10

Answer:

no

Step-by-step explanation:

Answer:

1 /81

Step-by-step explanation:

1/3 * 1/3 * 1/3 * 1/3 (One for each game) = 1/81

This question is based on the probability. Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].

Given:

The probability of winning the shell games if you randomly pick is 1 in 3.

We need to calculate the approximate probability of winning 4 games in a row.

According to the question,

By using the formula of probability,

[tex]Probability = \dfrac{Number \, of \, favourable \, outcome}{Total \, number \,of\, Outcome}[/tex]

It is given that,  probability of winning is 1 in 3.

Now, calculating the approximate probability of winning 4 games in a row is,

[tex]\dfrac{1}{3} \times\dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{81}[/tex]

Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].

For more details, prefer this link:

https://brainly.com/question/11234923

Answer:

The area of the circle would be 254.469004941 cm²

Hope this helps!! :)

Answer:

254.34cm²

Step-by-step explanation:

In order to find the area of a circle, you use the formula

[tex]A=\pi[/tex]×[tex]r^{2}[/tex], which is [tex]A=\pi (9)^{2}[/tex] if put into this problem.

You look for [tex]9^{2}[/tex] which equals 81. Then you plug it in to multiply to [tex]\pi[/tex]. Which is:

[tex]A=81\pi[/tex]

[tex]A= 254.34[/tex]