A prism has a triangular base whose area is 42 square inches. If the height of the prism is 11
inches, which of the following is the volume of the prism?

Answer:

[tex] \frac{2 }{3} [/tex]

Step-by-step explanation:

Formula is

y=mx+c So,2by 3 is m and x is there and 2 at last is c .

answer is 2 by 3

9514 1404 393

Answer:

  3 units

Step-by-step explanation:

The ordered pairs describe points on the same vertical line: x = -4. The distance between them is the difference of their y-coordinates:

  9 - 6 = 3

The distance between the given points is 3 units.

Answer:

(2w^2) + (-1w) + (-91)

Step-by-step explanation:

The equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.

Area pf a rectangle = length × width

Given the following:

Equation for finding w, using the area formula, would be:

(2w - 1)(w) = 91

2w² - w - 91 = 0

Therefore, the equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.

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Answer:C

Step-by-step explanation:

Answer:

The coefficient is 2520

Step-by-step explanation:

Given

[tex](x + y + z)^{10[/tex]

Required

The coefficient of [tex]x^3y^2z^5[/tex]

To do this, we make use of:

[tex]k = \frac{n!}{n_1!n_2!....n_m!}[/tex]

Where

[tex]k \to[/tex] coefficient

[tex]n = 10[/tex] the exponent of the given expression

[tex]n_1=3[/tex] -- exponent of x

[tex]n_2=2[/tex] --- exponent of y

[tex]n_3=5[/tex] --- exponent of z

So, we have:

[tex]k = \frac{n!}{n_1!n_2!....n_m!}[/tex]

[tex]k = \frac{10!}{3!2!5!}[/tex]

Expand

[tex]k = \frac{10*9*8*7*6*5!}{3!2!5!}[/tex]

[tex]k = \frac{10*9*8*7*6}{3!2!}[/tex]

[tex]k = \frac{30240}{3!2!}[/tex]

Expand the denominator

[tex]k = \frac{30240}{3*2*1*2*1}[/tex]

[tex]k = \frac{30240}{12}[/tex]

[tex]k = 2520[/tex]

Answer:

1/3

Step-by-step explanation:

Divide the numerator and denominator by 6.

6/18 = 1/3

Step-by-step explanation:

angle measure a =48/2=24°

the arc measure =360°-48°=312°

Answer:

sorry to burst your bubble but thats 5 ponits

Step-by-step explanation:

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b.  Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

Answer:

the correct answer is Victoria's answer

Answer:

Alternate interior angles.

The types of angles 4 and 5 represent alternate interior angles. If angles 4 and 5 are alternate interior angles, it means they are formed by a transversal intersecting two parallel lines

Alternate interior angles are located on opposite sides of the transversal and inside the pair of parallel lines.

Alternate interior angles are a pair of angles that are formed when a transversal intersects two parallel lines. These angles are located on opposite sides of the transversal and are found between the parallel lines. More specifically, alternate interior angles are formed by two non-adjacent interior angles.

When two parallel lines are intersected by a transversal, four pairs of alternate interior angles are created. Each pair consists of two angles—one angle on the interior of one of the parallel lines and another angle on the interior of the other parallel line. These angles are said to be "alternate" because they are located on alternate sides of the transversal.

The key property of alternate interior angles is that they are congruent, meaning they have the same measure. This property holds true regardless of the orientation of the parallel lines or the transversal.

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Answer:

4 term describes the number 6 in 6z=12

Step-by-step explanation:

Answer:

13.0833 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 5 ft

Angle sustained by the sector (θ) = 360 – 300

= 60°

Pi (π) = 3.14

Area of sector (A) =?

The area of the sector can be obtained as follow:

A = θ/360 × πr²

A = 60/360 × 3.14 × 5²

A = 1/6 × 3.14 × 25

A = 1/6 × 78.5

A = 78.5/6

A = 13.0833 ft²

Thus, the area of the sector is 13.0833 ft²

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²

Answer:

14-16x=32-10x

14-6x=32

-6x=18

x=-3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Angle C = 106 degrees

Step-by-step explanation:

I'm thinking the question should read "Angles a and C are supplementary" (software error, not yours)

Supplementary angles add up to 180 degrees

180 - 74 = 106 degrees

Answer:

A

Step-by-step explanation:

this question is incorrect because the decimal quantity functional persistent shouldnt be in a sequential farfictional order so the answer would be that satisfactory angle of theslop devided by pi and then multiplied by the persistent. hope this helped!

Answer:

.....

Step-by-step explanation:

attach the question properly

Answer:

4

Step-by-step explanation:

MARK AS BRAINLIST!!

Answer:

4.

Step-by-step explanation:

The median is the 'middle number.'

In order to find the median of a data set, you must first put the numbers in numerical order.

2, 7, 5, 4, 3

       ↓

2, 3, 4, 5, 7

The 'middle number' in this data set is 4.

Therefore, the median is 4.

Answer:

3x-2y>6

Step-by-step explanation:

Answer:

20?

Step-by-step explanation:

Answer: 8.9

Step-by-step explanation:

To find the hypotenuse, use the formula [tex]a^2 + b^2 = c^2[/tex]

The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.

So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b.

[tex]a^2 + b^2 = c^2[/tex]

[tex]8^2+4^2=c^2[/tex]

[tex]16 + 64 = c^2[/tex]

[tex]80 = c^2[/tex]

[tex]\sqrt{80}[/tex] = c

Use a calculator, and after rounding, you get 8.9

Answer:

Step-by-step explanation:

A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.

A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.

its C and D i think good luck people

<3

Answer:

7 students.

Step-by-step explanation:

1/6 of 30 is 5

3/5 of 30 is 18

18+5=23

30-23=7

Answer:

(x - 2)² + (y + 4)² = 29

Step-by-step explanation:

Standard form

(x - h)² + (y - k)² = r²

(h, k) is the center and ris the radius

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

For center (2, -4)

(x - 2)² + (y + 4)² = r²

use the distance formula to find d² which is the same as r²

r² = d² = (x2 - x1)² + (y2 - y1)²

r² = (4 - 2)² + (1 - -4)²

r² = 2² + 5²

r² = 29

Now the equation becomes

(x - 2)² + (y + 4)² = 29

9514 1404 393

Answer:

Step-by-step explanation:

The relevant relations are ...

__

Using the second relation, ...

  x = 180° -85° = 95°

  y = 180° -105° = 75°

Using the first relation, ...

  arc ABC = 2y = 2(75°) = 150°

Answer:

7 pies

Step-by-step explanation:

last customer: ½+½= 1

second customer =( 1×2)+1 = 3

first customer = (3×2)+1 = 7

Answer:

$2.83

Step-by-step explanation:

5lb × $3.55/lb + 4lb × x = 9 lb ×$3.23/lb

$17.75 + 4lb(x) = $29.07

-$17.75. -$17.75

4lb(x) = $11.32

___________

4lb. 4lb

x = $2.83