A triangular pyramid…

Pls help me out

A Triangular PyramidPls Help Me Out

Answers

Answer 1
first use pythagoras thereom to find AD ; 10^2 -8^2, square rooted. Then find DC , again using pythagoras thereom, 17^2-8^2, square rooted. Now you have AD and DC, use pythagoras thereom ; AD^2 + DC^2 = AC^2

Related Questions

if someone in 2022 is now 89, how old were they in 1971?

Answers

Answer:38

Step-by-step explanation:

they were born in 1933 and 1971 minus 1933 is 38.

Lindsey bought supplies for a class project and brought the receipt to school. The 6 items cost:
$5.00$3.00$8.00$5.00$4.00$5.00
What was the mode of the prices of the items?

Answers

Answer:

$5

Step-by-step explanation:

$5 appeared more in the prices

Answer:

5 dollars

Step-by-step explanation:

cuz I just know

A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
A. A single line
B. A pair of intersecting lines
C. A point
D. A pair of parallel lines

Answers

When a circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base, a pair of intersecting lines is formed.

How to know what is formed from a line intersecting a cone?

The right circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base.

This means the intersecting line forms a right angle with the base of the right circular cone.

Therefore, what is produced from this interaction is a pair of intersecting lines. The intersecting lines also have a point.

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Please hurry!
The diagram shows two squares constructed on the sides of a rectangle. What is the area of C?
Square A=6 ft2
Rectangle B=5 ft2
Don’t mind the writing

Answers

Answer:

25/6

Step-by-step explanation:

a²=6 -> a=✓6 (a must be positive so reject negative solutions)

ab=5 -> b = 5/✓6

thus area of C is b² = 25/6

Help me pls answer pls I’m pls

Answers

the correct answer would be A

Y-intercept: (0,
y=-2x2 – 16x – 34
What is the y intercept?

Answers

Answer: Solve for Y

y = -16x - 38

And then y intercept is

(0, -38)

Step-by-step explanation:

Y=-34 becaue that’s is the constant

The diameter of the circle above is 86 cm. What is the circumference of the circle? (Use = 3.14.)

A. 135.02 cm
B. 5,805.86 cm
C. 11,611.72 cm
D. 270.04 cm

Answers

Answer:

D

Step-by-step explanation:

Circumference = pi × diameter

5) Find the x-intercept and the y-intercept of the equation: 8x - y = -24.

Answers

Answer:

First we have to turn it into slope intercept form which is y = mx  + b.

we need to isolate y. To do this, we have to subtract 8x from both sides to get

-y = -8x - 24

-25 is the y intercept and -8 is the slope.

Step-by-step explanation:

The fabric store is having a sale the price of every item in the store has been reduced 30% which equation show the proportional relationship between the regular price of an item at the fabric store and its sale price, s?

Answers

The price is right and should be right so the percent is right where it’s at and I think that is the right answer

what is the slope of the line that contains the points (-2,6) and (2,-2)

Answers

Answer:

[tex]-\frac{8}{4}[/tex]

Step-by-step explanation:

To find slope from 2 points: [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-2-6}{2-(-2)} =-\frac{8}{4}[/tex]

35 is what percent of 150

Answers

[tex]~~~~~~150\times x\% = 35\\\\\implies 150 \times \dfrac{x}{100} = 35\\\\\implies \dfrac{3x}{2}=35\\\\\implies 3x = 35\cdot 2\\\\\implies 3x = 70\\\\\implies x = \dfrac{70}{3}\\\\\implies x =23.\overline{3}\\\\\text{So, 35 is}~ 23.\overline{3}\%~ \text{of} ~150.[/tex]

Which of the following points on the number line would be the plotted point for √5

Answers

Answer:

Point C

Step-by-step explanation:

The correct answer would be about 2.2 so C is the closest.

1 litre is approximately 1.75 pints,
1 gallon = 8 pints
calculate the approximate number of gallons that are equal to 48 000 cm3

Answers

Answer:

10.5 gallons are equal to 48000 cm3

Step-by-step explanation:

1) x2 + 5x + 4 = 0
a =
b=
C =
vb2 - 4ac =
-

Answers

Answer:

9

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) then the discriminant is

Δ = b² - 4ac

x² + 5x + 4 = 0 ← is in standard form

with a = 1, b = 5 , c = 4 , then

b² - 4ac = 5² - (4 × 1 × 4) = 25 - 16 = 9

The members of the Math Club need to elect a president and a vice president. They determine that there are a total of 272 ways that they can fill the positions with two different members. How many people are in the Math Club

Answers

Answer:

544

Step-by-step explanation:

EASY JUST MULTIPLY!!!

multiply your total of ways to fill the position, by how many members!

so...   272 x 2 = 544    hopes this helps!!

2) Find the surface area of the cube. You should have at least 2 steps shown ​

Answers

Answer: 294 square millimeters

Step-by-step explanation:

Each side of the cube is 7 mm.

First, find the area of one face. The formula for the area of a square is [tex]s^2[/tex]. 7 mm squared is 49 square millimeters.

A cube has 6 faces, so multiply the area of one face by 6. 49*6 = 294 square millimeters

pleasee help me! One circle has a circumference of 12 cm. Another circle has a circumference of 32 cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle? 3:8 8:3 1:3 3:1

Answers

Answer:

A: 3;8

Step-by-step explanation:

12/2 = 6

32/2 = 16

6/2 = 3

16/2 = 8

3:8

All 6 members of a family work. their hourly wages (in dollars) are the following.
18, 14, 35, 34, 11, 26
assuming that these wages constitute an entire population, find the standard deviation of the population. round your answer to two decimal places.

Answers

The standard deviation of the population dataset is 9.35

How to determine the standard deviation?

The dataset is given as:

18, 14, 35, 34, 11, 26

Start by calculating the mean using:

Mean = Sum/Count

This gives:

[tex]\bar x = (18+ 14+ 35+ 34+ 11+ 26)/6[/tex]

Evaluate

[tex]\bar x = 23[/tex]

The standard deviation is then calculated using:

[tex]\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n}}[/tex]

This gives

[tex]\sigma = \sqrt{\frac{(18 - 23)^2 + (14- 23)^2 + (35- 23)^2 + (34- 23)^2 + (11- 23)^2 + (26- 23)^2}{6}}[/tex]

Evaluate

[tex]\sigma = \sqrt{\frac{524}{6}}[/tex]

This gives

[tex]\sigma = 9.35[/tex]

Hence, the standard deviation of the population is 9.35

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3 Najid paid $10 000 income tax in a year. What was his salary that year?​

Answers

Answer:

income tax=13% of total salary

Step-by-step explanation:

Here,

let salary be 'x'

Now,

13%of x = $10 000

13/100 × x = $10 000

13x = 1000000

x=10 00000/13

Therefore x =76,923.0769

His salary that year was 76,923.0769

What is the slope of the line passing through the points (4, 5) and (0, -7)? Show all your work.

Answers

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 5 ) and (x₂, y₂ ) = (0, - 7 )

m = [tex]\frac{-7-5}{0-4}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3

rise over run

you can also use the y2-y1/x2-x1 but these numbers where small enough where graphing can help visually

Question 5 (1 point)
(07.07)
Find the product of (x + 3). (1 point)
o a
x2 + 6x + 9
x2 - 6x + 9
Ос
x2-9
d
x2 + 9

Answers

Answer:

a)   x² + 6x + 9

Step-by-step explanation:

When we square something, we multiply it by itself:

⇒ (x + 3)² = (x + 3)(x + 3)

Using the FOIL method:  (a + b)(c + d) = ac + ad + bc + bd

⇒ (x + 3)(x + 3) = x² + 3x + 3x + 9

                        = x² + 6x + 9

a.

[tex]\huge{{x}^{2} + 6x + 9}[/tex]

Step-by-step explanation:

Using Binomial Theorem:

[tex]\boxed{{(a+b)} ^n= \sum_{k=0}^{n}\binom{n}{k} a^{n-k}b^{k}}[/tex]

.

.

.

[tex](a+b) ^2 =a^{2} + 2ab +b^{2} [/tex]

The answer seems to be [tex]x^{2} + 6x + 9[/tex]...

does someone mind helping me with this question? Thank you!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: a = \pi {r}^{2} [/tex]

where, r = d/2 = 6/2 = 3 ft

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times {3}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 13.26 \: \: ft {}^{2} [/tex]

Answer: 28.26

Step-by-step explanation:

D = 6

R = 3

3.14 x 3 x 3 = 28.26

How much is a $99 top hat at 1/3 off

Answers

Answer:

66$

Step-by-step explanation:

1/3 of 99 is 33

so 99 - 33 = 66

What is Limit of StartFraction StartRoot x + 1 EndRoot minus 2 Over x minus 3 EndFraction as x approaches 3?

Answers

Answer:

[tex]\displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} = \boxed{ \frac{1}{4} }[/tex]

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Special Limit Rule [L’Hopital’s Rule]:
[tex]\displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)}[/tex]

Differentiation

DerivativesDerivative Notation

Derivative Property [Addition/Subtraction]:
[tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:
[tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify given limit.

[tex]\displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3}[/tex]

Step 2: Find Limit

Let's start out by directly evaluating the limit:

[Limit] Apply Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} = \frac{\sqrt{3 + 1} - 2}{3 - 3}[/tex]Evaluate:
[tex]\displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \frac{\sqrt{3 + 1} - 2}{3 - 3} \\& = \frac{0}{0} \leftarrow \\\end{aligned}[/tex]

When we do evaluate the limit directly, we end up with an indeterminant form. We can now use L' Hopital's Rule to simply the limit:

[Limit] Apply Limit Rule [L' Hopital's Rule]:
[tex]\displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \lim_{x \to 3} \frac{(\sqrt{x + 1} - 2)'}{(x - 3)'} \\\end{aligned}[/tex][Limit] Differentiate [Derivative Rules and Properties]:
[tex]\displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \lim_{x \to 3} \frac{(\sqrt{x + 1} - 2)'}{(x - 3)'} \\& = \lim_{x \to 3} \frac{1}{2\sqrt{x + 1}} \leftarrow \\\end{aligned}[/tex][Limit] Apply Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \lim_{x \to 3} \frac{(\sqrt{x + 1} - 2)'}{(x - 3)'} \\& = \lim_{x \to 3} \frac{1}{2\sqrt{x + 1}} \\& = \frac{1}{2\sqrt{3 + 1}} \leftarrow \\\end{aligned}[/tex]Evaluate:
[tex]\displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \lim_{x \to 3} \frac{(\sqrt{x + 1} - 2)'}{(x - 3)'} \\& = \lim_{x \to 3} \frac{1}{2\sqrt{x + 1}} \\& = \frac{1}{2\sqrt{3 + 1}} \\& = \boxed{ \frac{1}{4} } \\\end{aligned}[/tex]

∴ we have evaluated the given limit.

___

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___

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Without using l'Hopitâl's rule, we can instead rationalize the numerator.

[tex]\dfrac{\sqrt{x+1} - 2}{x-3} = \dfrac{\left(\sqrt{x+1}-2\right)\left(\sqrt{x+1}+2\right)}{(x-3)\left(\sqrt{x+1}+2\right)} = \dfrac{(x+1)-4}{(x-3)\left(\sqrt{x+1}+2\right)} = \dfrac1{\sqrt{x+1}+2}[/tex]

We've removed the discontinuity at [tex]x=3[/tex], so the limand is continuous and

[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1}-2}{x-3} = \lim_{x\to3} \frac1{\sqrt{x+1}+2} = \frac1{\sqrt{3+1}+2} = \boxed{\frac14}[/tex]

A microscope shows you an image of an object that is 80 times the object's actual size. So the scale factor of the enlargement is 80. An insect has a body length of 9 millimeters. What is the body length of the insect under the microscope?

Answers

Answer:

80

Step-by-step explanation:

Solve. 3(a – 5) – 6 = –15

Answers

Answer:

a=6

Step-by-step explanation:

distribute:

3a-15-6=-15

combine like terms:

3a-21=-15

add 21 to each side:

3a=6

divide by 3:

a=2

Abag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
a. 9 b. 4/3 c. 1/4 d. 3/4

Answers

Answer:

A: 9

Step-by-step explanation:

if p is red and green

Answer:

--------------------------HeyA-------------------------

GiveN :

Total no.of marbles : 12Total no.of red marbles : 8 Total no.of blue marbles : 3Total no.of green marbles : 1

To FinD :

P ( not blue )

SolvinG :

- First step is to find out P( blue )

P ( blue ) = 3 / 12 = 1/4

- Now , find out P ( not blue )

P ( not blue ) = 1 - 1/4 = 3/4

- Option D [ 3/4 ] is the right option.

--------------------HappY LearninG <3 --------------

urgent help with a geometry assignment!!

Answers

Answer:  480 and 253.2

Step-by-step explanation:

For the first one we want to do (12 x 5 / 2) x 16 which equals 480.

For the next question, the answer is 253.2 because 2πrh is the formula of lateral area. If we just plug in the numbers it's (2 x 3.14 x 4.8 x 8.4) = 253.2cm

Find the value of x.
135°
(7x + 2)°
x = [?]°

Answers

135=(7x+2)
133=7x
Then we solve for x by diving 133 by 7
x=19

The required value of the x in the expression of angle is 19.

An expression of angle is given as 7x + 2 = 135°, the value of the x is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
7x + 2 = 135
Simplifying,
7x = 135 - 2
7x = 133
x = 133 / 7
x = 19

Thus, the required value of the x in the expression of angle is 19.

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Time Left:1:32:30
Ryan Harris: Attempt 1
(06.07 MC)
The cost and customer rating of 15 cars is shown on the scatterplot. The cars are
rated on a scale of 0 to 100.
120
100
80
Rating
60

Answers

Based on the relationship between the ratings and cost, the association is a positive correlation. The data point that affects the appropriateness of using linear regression is $4,200 and 15 rating.

A car that is cost effective and rated highly is the data point (3,500,100).

What does the scatterplot show on cost and customer rating?

In general, the cost of cars shown is higher when the customer reviews are high as well. This shows a positive correlation between cost and customer ratings.

The car at (4,200, 15) is an outlier because it is expensive and yet has low ratings. It would therefore affect a linear regression model if one is used to fit the data shown.

The car at (3,500, 100) is cost-effective and rated high because it is not as expensive as a lot of other cars, and yet has the highest customer rating of 100.

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