Find the whole volume of the triangular pyramid to the nearest whole number

Answer:

8

Step-by-step explanation:

Height, h = 17

Let :

Width = x

Length = 2x + 4

Volume = 2720 in³

Volume of rectangular prism = Length * width * height

2720 = 17 * x * (2x + 4)

2720 = 34x² + 68x

34x² + 68x - 2720 = 0

x² + 2x - 80 = 0

x² + 10x - 8x - 80 = 0

x(x + 10) - 8(x + 10)

(x + 10) = 0 or (x - 8) = 0

X = - 10 or x = 8

Width can't be negative

Hence, width, x = 8

Answer:

The distance between those points is 6.32456. You can just round it if they want you to round the number.

Step-by-step explanation:

1.   (x2-x1) = (1 - -1) = 2

2.   (y2-y1) = (3 - -3) = 6

3.   (2)^2 + (6)^2 = 4 + 36 = 40

4.   √40 = 2√10

5.   6.3246

Answer:

12:15 is NOT proportional to 3:4

Step-by-step explanation:

7.5:10 is proportional to 3:4 because 3×2.5=7.5, and 4×2.5=10.

39:52 is proportional to 3:4 because 3×13=39, and 4×13=52

45:60 is proportional to 3:4 because 3x15=45, and 4×15=60

12:15 is not proportional to 3:4 because while you can multiply 3x4=12, you can not multiply 4×4 to get 15, you get 16 instead.

the answer to your question is D.12:15

Answer:

8064

Step-by-step explanation:

Multiply all the sides

6x4x12x2x14

Answer:

384 cu. cm

Step-by-step explanation:

The figure is comprised of two rectangular prisms.  One prism has dimensions of 6, 4 and 2 and the other prism has dimensions of 14, 12 and 2

Vol of a rectangular prism = lwh

Total volume = 6(4)(2) + 14(12)(2)

                      = 48 + 336

                      = 384 cu. cm

Answer:

-8 and 9

Step-by-step explanation:

-8 x 9  = -72

and  -8 + 9 = 1

Answer:

x = 40

Step-by-step explanation:

40° and (3x + 20)° form a straight line, and a straight line equals to 180°

=> 40 + (3x + 20) = 180

=> 3x = 120

=> x = 40

Answer:

(B.) f(x) = |x|

Step-by-step explanation:

Just took the test%

Answer:

[tex]circumference = 2\pi \: d \\ = 2 \times 3.14 \times 6 \\ = 37.68 \: km[/tex]

Answer:

1. A, E

2. C

Step-by-step explanation:

1. tan theta = 1/cot theta

  sec theta = 1/ cos theta

2. Sec^2x-1 = tan^2x

   sinx sec x = tanx

   = tan^2x/tanx = tan x

The identities are (a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

As a general rule, we have:

tan(θ) = 1/cot(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

sin^2(θ) + cos^2(θ) = 1

The above means that:

(a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities

We have:

[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]

Express the numerator as tan^2(x)

[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]

The product sin(x)sec(x)  = tan(x).

So, we have:

[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]

Divide

tan(x)

Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

Answer:

Step-by-step explanation:

I can't really tell from the image but it looks like the lines are parallel to each other

Answer:

n = 81

Step-by-step explanation:

sqrt(n) = 9

(sqrt(n))² = 9²

n = 81

Answer:

No

Step-by-step explanation:

A trapezoid is never a square. A trapezoid only has one pair of parallel lines and a square has two.

Answer:

A=65

B=40

C=75

Step-by-step explanation:

C= 180-65-40

=75°

Answer: Hewo, there! your answer is Below.

B.

linear Would be my answer because it's arranged in or extending along a straight or nearly straight line.

Step-by-step explanation:

Hope this helps!!

have a great day!!!]

-August-

Answer:3/4

Step-by-step explanation:

Have a good day!

Answer:

185590 m

or 185 km 590 meters

Step-by-step explanation:

to calculate total distance covered, convert km to meter and adding the numbers together

1km = 1000m

34 Kilometre 46 metre = (34 x 1000) + 46 = 34046m

143 kilometre 92 metre = ( 143 x 1000) + 92 =  143,092m

5 kilometre 92 metre = (5 x 1000) + 92 = 5092

2 kilometre 60 metre = (2 x 1000) + 60 = 2060

1.3 km = 1.3 x 1000 = 1300

1. Yes

2. Yes

3. No

4. Yes

have an amazing day <3

Answer:

yo mama read this carefully-

Step-by-step explanation:

Answer:

Read what carefully?

Step-by-step explanation:

Answer:

Steve gave his mother $75.

Step-by-step explanation:

Steve earned a total of $125.  Sixty percent of that went to his mother.  Convert 60% into the equivalent decimal fraction and multiply as indicated:

0.60($125) = $75

Steve gave his mother $75.

Answer:

Steve gave $75 to his mother.

Step-by-step explanation:

Steve earned a total of $125. Sixty percent of that went to his mother.  Convert 60% into a decimal and multiply:

0.60($125) = $75

Answer:B because you multiply all the similar numbers together then at the end you add them all up.

Answer:

Step-by-step explanation:

4/5 means four divided by five. if we do four divided by five, we get 0.8

Answer:

[tex]Domain : 0\le x \le 6[/tex]

[tex]Range: 0 \le y \le 72[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the domain and the range

From the complete question, we understand that the study was carried out for 6 days. This represents the domain;

So, we have:

[tex]Domain : 0\le x \le 6[/tex] i.e. from day 0 to day 6

Also, he experimented with 72ml, and he used an equal amount each day before he used up all the 72mL. This represents the range

So, the range is:

[tex]Range: 0 \le y \le 72[/tex] i.e. from 72mL to 0mL

Answer: 3j-6k+4

Step-by-step explanation:

First you have to distribute the 3 to the j and the -2k since they are both in the parentheses. So it would look like (3*j) +(-2k*3)+4 and if you simplify that it is 3j-2k+4. After that there are no like terms so that is your answer.

Answer:

92 cents

Step-by-step explanation:

14.20×6.5%=0.923

Answer:

-3.5   <   2.8

7.4   >   -9

Step-by-step explanation:

If you have a negative number and a positive number the positive number is always greater.

When you have a negative number and another negative, the smallest number is greater.

For example: -2.5       -3.7

-2.5 is greater than -3.7 because it is less negative.

-2.5   >   -3.7

When you have a positive number and a positive number, the biggest number is greater.

For example: 8.3       4.2

8.3 is greater than 4.2 because it is a bigger number.

8.3   >   4.2

Answer:

#6

a)

b)