Ask question

Ask question

All categories

2 years ago

11

The area of a triangular region is 3,136 sq . cm. if the perpendicular from one vertex to the opposite side is 64 cm, find the l

ength of its base

1 answer:

eimsori [14]2 years ago

7 0

area=3136sq.cm

height=perpendicular=64 cm

base=?

area=1/2*base*height

3136=1/2*base*64

therefore,, base=98

Please can you give me brainliest

You might be interested in

For this problem, assume Gwen and Harry have 5 types of cones and 9 flavors of ice cream.

ohaa [14]

Answer: Hello!

In this problem you can chose 3 options:

the type of cone, the first flavour, and the second flavour.

a) In how many different ways can your order one cone and two scoops of ice cream?

You have 5 options for cones, 9 options for the first ball of ice cream, and 9 options for the second ball of ice cream (because you can repeat flavour) then the total number of combinations is the product of this 3 numbers, this is:

5*9*9 = 405 combinations

b) Here we cant order the same flavour of ice cream, then:

we still have 5 options for cones, 9 options for the first ball of ice cream, and this time 8 options for the second ball ( because we need to remove the flavour that we picked in the first ball of ice cream) then the number of combinations is:

5*9*8 = 360 combinations.

6 0

3 years ago

4. Dean Pelton wants to perform calculations to impress the accreditation consultants, but upon asking for information about GPA

Leya [2.2K]

Answer:

the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

Step-by-step explanation:

Let assume that n should represent the number of the students

SO, $\bar x$ can now be the sample mean of number of students in GPA's

To obtain n such that $P( \bar x \leq 2.3 ) \leq .04$

⇒ $P( \bar x \geq 2.3 ) \geq .96$

However ;

$E(x) = \int\limits^4_2 Dx (2+e^{-x} ) 4x = D \\ \\ = D(e^{-x} (e^xx^2 - x-1 ) ) ^D_2 = 12.314 D$

$E(x^2) = D\int\limits^4_2 (2+e^{-x})dx \\ \\ = \dfrac{D}{3}[e^{-4} (2e^x x^3 -3x^2 -6x -6)]^4__2}}= 38.21 \ D$

Similarly;

$D\int\limits^4_2(2+ e^{-x}) dx = 1$

⇒ $D*(2x-e^{-x} ) |^4_2 = 1$

⇒ $D*4.117 = 1$

⇒ $D= \dfrac{1}{4.117}$

$\mu = E(x) = 2.991013 ; \\ \\ E(x^2) = 9.28103$

∴ $Var (x) = E(x^2) - E^2(x) \\ \\ = .3348711$

Now; $P(\bar \geq 2.3) = P( \bar x - 2.991013 \geq 2.3 - 2.991013) \\ \\ = P( \omega \geq .691013) \ \ \ \ \ \ \ \ \ \ (x = E(\bar x ) - \mu)$

Using Chebysher one sided inequality ; we have:

$P(\omega \geq -.691013) \geq \dfrac{(.691013)^2}{Var ( \omega) +(.691013)^2}$

So; $(\omega = \bar x - \mu)$

⇒ $E(\omega ) = 0 \\ \\ Var (\omega ) = \dfrac{Var (x_i)}{n}$

∴ $P(\omega \geq .691013) \geq \dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2}$

To determine n; such that ;

$\dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2} \geq 0.96 \\ \\ \\ (.691013)^2(1-.96) \geq \dfrac{-3348711*.96}{n}$

⇒ $n \geq \dfrac{.3348711*.96}{.04*(.691013)^2}$

$n \geq 16.83125$

Thus; we can conclude that; the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

5 0

2 years ago

In the diagram below of triangle ABC, the medians meet at point G. If CF = 39, what is the length of CG?

LenKa [72]

Applying the centroid theorem of a triangle, the length of CG is: 26.

<em><u>Recall:</u></em>

Medians join the vertices to the midpoint of the opposite sides of a triangle.

The center that all the three medians intersect at is called the centroid.

Based on the centroid theorem, the distant from the centroid to the vertex = 2/3 of the median length.

Triangle ABC is shown in the image attached below. G is the centroid.

CF = 39 (median)

CG = 2/3(CF) ---> Centroid Theorem.

Substitute

CG = 2/3(39)

CG = 26

Therefore, applying the centroid theorem of a triangle, the length of CG is: 26.

Learn more about centroid theorem on:

brainly.com/question/20627009

5 0

2 years ago

HELP<br><br> I’ll give brainliest to who ever answers today rn the first one plz and ty

Kisachek [45]

Answer:

A

Step-by-step explanation:

Use the range

5 0

3 years ago

Read 2 more answers

What is the value of -5 to the 4th power? <br><br> A) 20<br> B) 625<br> C) 125<br> D) -625

Yanka [14]

Answer:

B) 625

Step-by-step explanation:

(-5)^4

-5*-5*-5*-5

25*25

625

3 0

3 years ago

Read 2 more answers