EASY! PLEASE HELP, I AM STUCK

The expression that represents the height of the triangular base of the pyramid is given by: Option B: (5/2)√3 untis

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The question is incomplete, and the upper part of the completed question is:
"The base of a solid oblique pyramid is an equilateral triangle with an edge length of 5 units. A solid oblique pyramid has an equilateral triangle base with an edge length of 5 units. "

The diagram of the base of the considered pyramid is attached below.

The perpendicular from A to BC is touching BC at C, and is bisecting it (it can be proved).

Consider the triangle ADB. It is a right angled triangle.

We need the length of AD which represents the height of the triangle ABC.

This is obtained using Pythagoras theorem as:

[tex]|AB|^2 = |AD|^2 + |DB|^2\\\\|AD|^2 = |AB|^2 - |DB|^2\\\\|AD| = \sqrt{5^2 - \left( \dfrac{5}{2}\right)^2}[/tex]

(took positive root because of |AD| being length, which is a non-negative quantity).

SImplifying it, we get:

[tex]|AD| = \sqrt{5^2 - \left( \dfrac{5}{2}\right)^2}\\\\|AD| = \sqrt{\dfrac{5^2(4-1)}{4}} = \dfrac{5\sqrt{3}}{2} = \dfrac{5}{2} \times \sqrt{3} \: \rm units[/tex]

Thus,  the expression that represents the height of the triangular base of the pyramid is given by: Option B: (5/2)√3 untis

Learn more about Pythagoras theorem here:

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Answer:

A

Step-by-step explanation:

Any time you see the x value being repeated, it is most likely not a function. Since the x value of 3 in the answer B is repeated and have different y values, it is not a fuction.

Answer:

60/200

Step-by-step explanation:

credit to pawlossolomon

Answer:

12 6

then 32

and 3360

Step-by-step explanation:

The explicit formula is an= 12+ (n-1)6.

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given:

12 18 24 30 . . . 198

a=12

d= 6

So, an= a + (n- 1)d

an= 12+ (n-1)6

Hence, the explicit formula is an= 12+ (n-1)6.

Learn more about tis concept here:

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Answer:

779

Step-by-step explanation:

Given Arithmetic series is: 150+143+136+…+(-102)+(-109)

Here,

First term (a) = 150

Common difference (d) = 143 - 150 = - 7

[tex]n^{th}\: term:\:a_n = -109[/tex]

The formula for [tex]n^{th}\: term[/tex] of an arithmetic series is given as:

[tex]a_n = a +(n-1)d[/tex]

Plugging the values of a, d and [tex]a_n[/tex] in the above formula, we will find the number of terms that exist from 150 to (-109)

[tex]-109 = 150+(n-1)(-7)[/tex]

[tex]\implies\: -109 -150=(n-1)(-7)[/tex]

[tex]\implies\: -259=(n-1)(-7)[/tex]

[tex]\implies\: \frac{-259}{-7}=(n-1)[/tex]

[tex]\implies\: 37=n-1[/tex]

[tex]\implies\: 37+1=n[/tex]

[tex]\implies\: n=38[/tex]

Thus, there are total 38 terms in the given Arithmetic series.

Now,

Sum of n terms of an arithmetic series is given by the formula: [tex]S_n=\frac{n}{2}(a +a_n)[/tex],

Plugging in the values, we find:

[tex]S_{38}=\frac{38}{2}[150 +(-109)][/tex]

[tex]\implies S_{38}=\frac{38}{2}[150 +(-109)][/tex]

[tex]\implies S_{38}=19[150 -109][/tex]

[tex]\implies S_{38}=19[41][/tex]

[tex]\implies S_{38}=779[/tex]

Bob’s employer covers 23% of his family’s annual health insurance premium has family's annual health insurance premium is $6,256.88.

Insurance premiums are paid for policies that cover all the basic needs such as healthcare, home, and life insurance.

Health insurance premium:

Paychecks=$185.30 x 26

Paychecks=$4,817.80

To calculate insurance premium

Health insurance premium=$4,817.80/(100%-23%)

Health insurance premium=$4,817.80/77%

Health insurance premium=$6,256.88

In conclusion, his family's annual health insurance premium is c. $6,256.88.

Learn more about insurance premiums: here:brainly.com/question/2010067

Answer:

32/50 = 0.64 * 100 = 64%

Step-by-step explanation:

The row 'girls' represents the population of girls who answered the survey. There were 50 total, and 32 answered for brand A. 32/50 is the fraction representing the number of the total girls which answered brand A.

Answer:

Option A, 64%

Step-by-step explanation:

Step 1:  Determine the percentage of girls that were surveyed that prefer Brand A cell phones

There are a total of 50 girl students and out of those 32 girls prefer Brand A cell phones.  This means that 32/50 = 64% of all the girl students prefer a Brand A phone.

Answer:  Option A, 64%

Answer:

earth moves around the sun...duh we have science to prove it......

Step-by-step explanation:

Answer: the earth moves around the sun

Step-by-step explanation:

The most direct observational evidence for Earth's orbital motion is the apparent shift of nearby stars after six months, as the Earth moves from one side of its orbit to the other. Because of the large distance to even the nearest start, this parallax shift is too small to been seen without a telescope.

Answer:

D

Step-by-step explanation:

The ratio of the width to the height would be 18:2, which simplifies to 9:1.

Answer:

-1.5

Step-by-step explanation:

Hope this helps .

Pls mark brainliest.

Thank if correct :)

Answer: Yes

Step-by-step explanation:

If a triangle was inscribed onto the surface of a sphere, the sum of its interior angles will not add up 180 degrees. This is actually a method in differential geometry to see if a surface is flat or curved; see if the angles up to 180 degrees. Now, it depends on how large the triangle is. If we were to draw a triangle on the surface of the earth with lets say a piece of chalk, the angles will appear to add up to 180 degrees. The larger amount of surface that the triangle covers, the larger deviation you will get from 180 degrees.

Step-by-step explanation:

all models are correct other than the first model and the third model.

#1

One line of pink and 0.2 line of pink so 1.2 line of pink and 3 lines of purple

The expression is 1.2+3

#2

Expression is 1.2+0.3

#3

4lInes of green

#4

True(Representation by number line)

#5

5lines of green

Answer:

SA=lw+lh+hw to find the surface area.

190m²

I hope i helped u get the right answer

Step-by-step explanation:

Answer:

Q1.  =213 Q.2 2145 Q.3 =23.2$ Q.4 53 Q.5 10.5

Step-by-step explanation:

Answer:

82%

Step-by-step explanation:

18 x 50 = y

738 divided by y = percentage

18 x 50 is 900.

738 divided by 900 is 0.82, or 82%.

Answer:

[tex] \frac{5}{4} kg \: \frac{3}{4} kg[/tex]

Step-by-step explanation:

Simplify 2kg

[tex] \frac{5}{4} kg[/tex]

,

[tex] \frac{3}{4} kg[/tex]

Answer:

B

Step-by-step explanation:

180-72 = 108

26+46=72

108+72=180

Finding the circumference of an object is important in the following scenarios: Whether you want to buy a bra, trousers, or sweater, you need to know the distance around your waist or chest.

Answer:

12.25s + 3.99 = 77.49 would be your equation used to find the amount of shirts purchased.

When we solve the equation, we get 6 which is the quantity of shirts Gartland purchased.

Step-by-step explanation:

We know the shirts were 12.25 but we didnt know how much she pruchased leaving our shirts (s) unknown.

We added 3.99  for shipping and our total cost was 77.49

We do 12.25s + 3.99 (shipping) = 77.40 total cost

I didn't see the question here so I will just put an iron fact.  

Iron is the 4th most abundant element in the Earth's crust.

There you go :)

Answer:

Its the second choice.

Step-by-step explanation:

The volume of a pyramid = 1/3* area of base * height

So here:

V = 1/3x^2y cm^3.

Answer:

Step-by-step explanation:

Total number of marbles = 5 + 2 + 3 = 10

Probability of choosing 1 green marble = 2/10

Probability of choosing 1 yellow marble = 3/10

Notice (and this is important) that the denominator didn't change. Why?

Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.

So what is the probability of P(green then yellow)?

P(green then yellow) = 3/10 * 2/10 = 6/100

Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.

the solution is:

u should at the first find the volume of the small bag that V= LWH ( Lenght, width, height)

so it will be 82.5

since the Volume of the large bag is 2 times the volume of the small bag so the volume of large bag will be 165

so H = V / LW

H = 165 / 5×3

H = 165 / 15

So the Answer is H = 11

-5²+10² / (2×(-5)×3)+3³

= -25+100 / (2×(-5)×3)+27

=-25+100 / -30+27

= 75/3

=25

Answer:

second one

s/(2πh) = r

Step-by-step explanation:

You want to put the unknown value you are solving on 1 side and rest on the other side. In this case, you have to have r alone on one side.

s=2πrh

Since they are all multiplied with r, you divide them all on both sides to send them to other side.

s/(2πh) = 2πrh/ (2πh)

cancel out right side and it leaves r alone.

s/(2πh) = r

Answer:

Perpendicular: AE and ED & ED and CD

Equal Lengths: AE and ED & AB and BC

Perpendicular: 4? if you count ED seperate for both of it's perp interactions

Step-by-step explanation:

Lateral Surface area = 48 cm^2

Total surface area = 118 cm^2

you didn't identify which were the Height, length and width.

I don't know if this would be the right answer.

[tex]\dfrac 3{10} \times 8 \\\\\\=\dfrac{3 \times 8}{10}\\\\\\=\dfrac{3 \times 4 \times 2}{ 5\times 2}\\\\\\=\dfrac{12}5[/tex]

Answer:

Step-by-step explanation:

[tex]Solution,\\\\[/tex]

f(x)={(6,12),(7,11),(8,10),(9,9)}

Now,

Inverse of f(x)={(12,6),(11,7),(10,8),(9,9)}

Correct option is no C

Answer:

Step-by-step explanation:

Given function :

An inverse function interchanges x and y coordinates of the ordered pair.

Therefore, the new coordinates are :

Option C is the right answer