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3 years ago

Expand (2−x)5 and identify each part of the expression. 80x2 -40 10 32

Mathematics

1 answer:

Finger [1]3 years ago

8 0

Answer:

<h3>coefficient to the 4th term, to the 5th term, etc.)</h3>

Step-by-step explanation:

i hope it helps :)

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Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

First, we find BD, where B(-1,4) and D(2,4).

$BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3$

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

$AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5$

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

$A=\frac{1}{2}\times {\text{base}}\times {\text{height}}$

$A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5$

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0

3 years ago

Read 2 more answers

Ken grew 4/5 of an inch last year.sang grew 3/8of an inch.who grew more and by how much

beks73 [17]

Ken grew .425 of an inch more than Sang

7 0

4 years ago

Read 2 more answers

10) Find the measure of angle D. Hint: you must do two math problems to solve

NISA [10]

Answer:

Option A.) 43°

Step-by-step explanation:

Part 10)

step 1

Find the length of side EG

see the attached figure to better understand the problem

we know that

In the right triangle EGF

$cos(65^o)=\frac{EG}{EF}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(65^o)=\frac{EG}{11}$

solve for EG

$EG=(11)cos(65^o)\\EG=4.65\ cm$

step 2

Find the measure of angle D

In the right triangle DEG

$tan(D)=\frac{EG}{DG}$ ----> by TOA (opposite side divided by adjacent side)

substitute the given values

$tan(D)=\frac{4.65}{5}\\\\D=tan^{-1}(\frac{4.65}{5})=43^o$

3 0

3 years ago

What is the volume of this triangular prism?

kati45 [8]

Answer:

Given:

perpendicular [p]=9cm

base[b]=15cm

length[l]=4cm

we have

the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l

=½×9×15×4=270cm³

270cm³ is a required volume.

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3 years ago

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Please answer all I'm so confused

Elena L [17]

Start, the first MAD is 2.5 go right, the second MAD is 3 MAD diagonal down, third is 6 go left. Fourth is MAD 9 straight down 2.8, Fifth diagonal up, 6th right MAD 1.5 =Finish

7 0

3 years ago